Student voice is good. We should take the needs, interests, concerns, talent, curiosity, discomfort, and joy of children seriously. (pretty courageous statement, eh?)
However, if one is truly committed to making the world better for kids, “voice,” is nice, but inadequate. “Voice” absent of power is often little more than propaganda or exploitation.
While I’ve been on a brief social media “skunk at the garden party” hiatus, Dean Shareski has generously filled-in by sharing his queasiness over the “viral” Goldieblox video being passed around the Web. Señor Shareski set his BS detector on high and has provided evidence that the “amazing” Rube Goldberg machine “made by girls” is merely a commercial for a new toy called, Goldieblox.
I am shocked! Shocked!
Anyone who knows me knows that I love toys. I find buying them irresistible. I’ve been seeing Goldieblox at Maker Faires for more than a year, but have not bought a set because I think they lack extended play value (a term LEGO uses internally). I’m not one to get all outraged that a toy for girls is pink. Goldieblox just hasn’t seemed very interesting to me or the girls I work with. It’s not part of my workshop road show sweeping the globe, “Invent To Learn.”
It just doesn’t seem that Goldieblox has any chance of measuring up to the self-promotion and hype of its creator that her box of ribbon and spools is “building women engineers.” I applaud the sentiment, but if we are truly serious about improving the education of girls, it will take a lot more work than a trip to Toys R Us.
I could be wrong. I’ve recently been upgrading my initial assessment of littleBits, based on my observations of children playing with the new toy/electronics construction kit. So, perhaps I will soon fall in love with Goldieblox, but I doubt it.
Back to Monsignor Shareski…
I took a lot of “brown porridge” when I called BS on the very same videos of yesteryear.
There was Dalton Sherman, the “amazing” 5th grader who was coached all summer-long to give a condescending speech, written by the Dallas Schools PR department to Dallas teachers, right before laying off 400 of them. I smelled a rat the second I saw the video. Was called a big fat poo-poo head by teachers on social media and was right. BTW: Dalton Sherman seems to have disappeared just like those teacher jobs. So much for being the voice of school reform.
Then there was Michael Wesch (who is an important scholar) made famous by the hostage film he created in which college students decried the state of education.
Fantastic. A college class with far too many students in it (200) attempts to revolutionize the educational system by whining in a five minute web video.
I’m sorry, but count me unimpressed!
Perhaps a student should hold up a sign saying, “My professor is wasting my time and money by making me participate in a piece of exploitative propaganda in which I get to insult either my generation or the one before me just to get on YouTube.”
How did bashing our own profession become such a popular sport? What possible value could demeaning educators have in a professional development setting? Are we desperate for moving pictures or are they merely a substitute for actual ideas?
From Hey Mom! Look What I Made in College (November 2007)
Aside from their lack of authenticity, what these three AMAZING viral videos of is how children and claims of “student voice” exploit children for propaganda purposes. The Goldieblox video is a commercial selling a toy. We don’t tweet Sir Grapefellow commercials (my preferred boyhood breakfast treat) as AMAZING examples of student voice, so why the wishful thinking about Goldieblox?
Señor Shareski rightfully cites my colleague Super-Awesome Sylvia (read Super-Awesome Sylvia in the Not So Awesome Land of Schooling) as a counter example to the fake Goldieblox commercial. I have worked closely with Sylvia over the past couple of years and made her part of the Constructing Modern Knowledge faculty, not because she is cute (she is), but because she is accomplished. She knows stuff. She has skills. She has a great work ethic and is a terrific teacher (at 12).
However, talent and achievement did not made Sylvia immune from cynical exploitation by Rupert Murdoch and Joel Klein’s education cabal as documented in an article I wrote for the Huffington Post, Shameless Shape Shifters.
So the moral of our story is…
- As a young blogger in 1971, The Brady Bunch taught me an important lesson relevant here, caveat emptor – buyer beware. Users of social media need to “follow the money,” have a highly-tuned BS Detector, and know when and what they are being sold.
- Calling everything amazing or everyone a genius is lazy and counterproductive.
- Student voice without what Seymour Papert calls “kid power” is worse than empty rhetoric, it is a lie. Escapism is not the same as freedom. Too much of what is offered as “student voice” offers a false sense of agency, power, or freedom to the powerless. It is what Martin Luther King, Jr. called, “the intoxicating drug of gradualism.”
I’ve been thinking a lot about my friend, colleague, and mentor Dr. Seymour Papert a lot lately. Our new book, “Invent to Learn: Making, Tinkering, and Engineering in the Classroom,” is dedicated to him and we tried our best to give him the credit he deserves for predicting, inventing, or laying the foundation for much of what we now celebrate as “the maker movement.” The popularity of the book and my non-stop travel schedule to bring the ideas of constructionism to classrooms all over the world is testament to Seymour’s vision and evidence that it took much of the world decades to catch up.
Jazz and Logo are two of my favorite things in life. They both make me feel bigger than myself and nurture me. Jazz and Logo provide epistemological lenses through which I view the world and appreciate the highest potential of mankind. Like jazz, Logo has been pronounced dead since its inception, but I KNOW how good it is for kids. I KNOW how it makes them feel intelligent and creative. I KNOW that Logo-like activities hold the potential to change the course of schooling. That’s why I have been teaching it to children and their teachers in one form or another for almost 32 years.
I’ve been teaching a lot of Logo lately, particularly a relatively new version called Turtle Art. Turtle Art is a real throwback to the days of one turtle focused on turtle geometry, but the interface has been simplified to allow block-based programming and the images resulting from mathematical ideas can be quite beautiful works of art. (you can see some examples in the image gallery at Turtleart.org)
Turtle Art was created by Brian Silverman, Artemis Papert (Seymour’s daughter) and their friend Paula Bonta. Turtle Art itself is a work of art that allows learners of all ages to begin programming, creating, solving problems, and engaging in hard fun within seconds of seeing it for the first time. Since an MIT undergraduate in the late 1970s, Brian Silverman has made Papert’s ideas live in products that often exceeded Papert’s expectations.
There aren’t many software environments or activities of any sort that engage 3rd graders, 6th graders, 10th graders and adults equally as Turtle Art. I wrote another blog post a year or so ago about how I wish I had video of the first time I introduced Turtle Art to a class of 3rd graders. Their “math class” looked like a rugby scrum, there was moving, and wiggling, and pointing, and sharing and hugging and high-fiving everywhere while the kids were BEING mathematicians.
Yesterday, I taught a sixth grade class in Mumbai to use Turtle Art for the first time. They worked for 90-minutes straight. Any casual observer could see the kids wriggle their bodies to determine the right orientation of the turtle, assist their peers, show-off their creations, and occasionally shriek with delight in a reflexive fashion when the result of their program surprised them or confirmed their hypothesis. As usual, a wide range of mathematical ability and learning styles were on display. Some kids get lost in one idea and tune out the entire world. This behavior is not just reserved to the loner or A student. It is often the kid you least expect.
Yesterday, while the rest of the class was creating and then modifying elaborate Turtle Art programs I provided, one sixth grader went “off the grid” to program the turtle to draw a house. The house has a long and checkered past in Logo history. In the early days of Turtle Graphics, lots of kids put triangles on top of squares to draw a house. Papert used the example in his seminal book, “Mindstorms: Children, Computers, and Powerful Ideas,” and was then horrified to discover that “making houses” had become de-facto curriculum in classrooms the world over. From then on, Papert refrained from sharing screen shots to avoid others concluding that they were scripture.
It sure was nice to see a kid make a house spontaneously, just like two generations of kids have done with the turtle. It reminded me of what the great jazz saxophonist and composer Jimmy Heath said at Constructing Modern Knowledge last summer, “What was good IS good.”
Love is all you need
This morning, I taught sixty 10th graders for three hours. We spend the first 75 minutes or so programming in Turtle Art. Like the 6th graders, the 10th graders had never seen Turtle Art before. After Turtle Art, the kids could choose between experimenting with MaKey MaKeys, wearable computing, or Arduino programming. Seymour would have been delighted by the hard fun and engineering on display. I was trying to cram as many different experiences into a short period of time as possible so that the school’s teachers would have options to consider long after I leave.
After we divided into three work areas, something happened that Papert would have LOVED. He would have given speeches about this experience, written papers about it and chatted enthusiastically about it for months. Ninety minutes or so after everyone else had moved on to work with other materials, one young lady sat quietly by herself and continued programming in Turtle Art. She created many subprocedures in order to generate the image below.
Papert loved love and would have loved this expression of love created by “his turtle.” (Papert also loved wordplay and using terms like, “learning learning.” I’m sure he would be pleased with how many times I managed to use love in one sentence.) His life’s work was towards the creation of a Mathland where one could fall in love with mathematical thinking and become fluent in the same way a child born in France becomes fluent in French. Papert spoke often of creating a mathematics that children can love rather than wasting our energy teaching a math they hate. Papert was fond of saying, “Love is a better master than duty,” and delighted in having once submitted a proposal to the National Science Foundation with that title (it was rejected).
The fifteen or sixteen year old girl programming in Turtle Art for the first time could not possibly have been more intimately involved in the creation of her mathematical artifact. Her head, heart, body and soul were connected to her project.
The experience resonated with her and will stay with me forever. I sure wish my friend Seymour could have seen it.
Turtle Art is free for friends who ask for a copy, but is not open source. It’s educational efficacy is the result of a singular design vision unencumbered by a community adding features to the environment. Email email@example.com to request a copy for Mac, Windows or Linux.
Note from Gary Stager…
In 1989, a great friend, colleague and pioneer in educational computing, Steve Shuller, authored the following literature review. Steve was Director of Outreach at Bank Street College during its microcomputer heyday, co-created New Jersey’s Network for Action in Microcomputer Education (N.A.M.E., now NJECC) and was a Director of the IBM Model Schools Project. Shortly before his untimely death Steve prepared this literature review for the Scarsdale, NY Public Schools, hoping that it would contribute to the end of tiresome discussions regarding keyboarding instruction.
Steve would be horrified that this trivial issue lives on in a field that has matured little in the past fourteen years. I share his work with you as a public service and in loving memory of a great educator.
Keyboarding in Elementary Schools
Stephen M. Shuller
Scarsdale, NY Public Schools
We are currently in the midst of a world-wide revolution, moving from the Industrial Age to an era in which information is the primary product (Toffler 1984). As information processing tools, computers are central to this revolution. The ability to interact with computers is an essential skill for the Information Age, one which our schools will need to address to prepare our students to meet the challenges of this fundamentally changed world.
The educational reform movement of the 1980′s has recognized the importance of computers in education. For example, A Nation at Risk (1983) calls for the high school students to:
(a) understand the computer as an information, computation, and communication device;
(b) use the computer in the study of the other Basics and for personal and work-related purposes; and
(c) understand the world of computers, electronics, and related technologies. (A Nation at Risk 1983, 26)
Virtually every other reform proposal has included similar recommendations. The educational community has responded to the futurists’ visions of the Information Age and the reformers proposals by working to integrate computers into the curriculum at all levels.
At present, people interact with computers by typing words on typewriter-like keyboards. Even though computers may someday be able to understand handwriting and human speech, in the currently foreseeable future-which in the Information Age may be only a dozen years or so at best-keyboarding skills are necessary to make computers do our bidding. Thus, keyboarding is an essential enabling skill for using computers in schools and in society, and must be included in Information Age curricula (Gibbon 1987).
Even though there is virtual unanimity that students should learn to keyboard, there is considerably less agreement on how, how much, when, and by whom. This paper will consider the teaching of keyboarding in elementary schools, examining these questions as a guide for curriculum development.
Keyboarding and Typing: Historical Context
Computer keyboards are similar to typewriters, Industrial Age tools invented by Christopher Sholes in 1868 and first marketed by Remington in 1873 (Yamada 1983). By the end of the 19th Century, typewriters were considered reliable writing tools, and started becoming widely used in offices (Pea and Kurland 1987). The first typing instruction was provided by typewriter manufacturers in about 1880 (Yamada 1983). It took public schools until 1915 to begin teaching typing as a high school occupational skill (West 1983).
By the 1920′s, educators began to experiment with using the new technology-typewriters–to help children learn to write (Pea and Kurland 1987). These experiments were quite successful. In the largest-scale controlled study, Wood and Freeman (1932) followed 2383 students as they learned to write on portable typewriters over a two year period. They found that the students who used typewriters wrote with more expression, showed higher reading scores, became better spellers, and enjoyed writing more than students learning to write using conventional methods. Similarly, Merrick (1941) found that typewriters helped the English development of high school students. Even so, typewriters did not catch on in education.
In the 1960′s and early 1970′s, there was another smattering of interest in using computers in language arts (Balajthy 1988). Edward Fry, a noted reading specialist at Rutgers University, published a book on using typewriters in language arts which was not widely used. Perhaps seeing a new window of opportunity, Fry (1984) revised his text and reissued it as an approach to keyboarding in language arts.
Since we have known for more than half a century that keyboarding can help elementary school children learn language skills, why have typewriters only rarely found their way into elementary school classrooms, in sharp contrast to the current push to put computers into schools? One answer is that schools by and large reflect the perceived needs of society. Industrial Age schools resembled factories, and funds for typewriters were only available to prepare the relatively few students who would become clerks and typists. Information Age schools must prepare the vast majority of students to use computers because they are information management tools.
But why start elementary school students on computers? Here there is less direct pressure from society and more interest from educators who see the potential to enhance education. The two main factors spurring this interest are the transformation of professional writing through word processing (Zinsser 1983) and the transformation of writing instruction through the process approach (Graves 1983). Computers can greatly facilitate implementation of a process approach to teaching writing (Green 1984; Daiute 1985), so many educators are interested. In the current social milieu, the taxpayers are often willing to supply the necessary equipment.
Keyboarding in Elementary Schools: Curricular Issues
Given that we would like to use microcomputer based word processing as a tool to teach writing, what sort of keyboarding skills will elementary school students need? There seem to be three main alternatives. If they have no familiarization with the computer keyboard, they will have to “hunt and peck.” If they know where the keys are but not how to touch type, they can “peck” without much “hunting,” preferably using both hands. Finally, they can learn to touch type.
Everyone seems to agree that keyboard familiarization is in order, but whether to stop there or to teach touch typing to elementary school students is controversial. Advocates of the keyboard familiarization approach argue that students can type quickly enough to facilitate their writing without touch typing, that touch typing demands too much from limited time and computer resources, and that touch typing skills are quickly forgotten unless the students continue to practice regularly. Advocates of touch typing counter that students who develop the “bad habit” of keyboarding with two fingers find it very difficult to learn correct touch typing skills later and that such skills will ultimately be very important because of increased speed and efficiency.
There is widespread agreement that elementary students need to be able to type at least as fast as they can write by hand to avoid interfering with their writing process. A number of investigators have determined elementary school student handwriting rates. Graham and Miller (1980) found that students in grades 4 through 6 can copy text at a rate of 7 to 10 words per minute (wpm). Graves (1983) found a range of 8 to 19 wpm for 9 and 10 year olds when composing. Freyd and Kahn (1989) found an average rate of 11.44 wpm among 6th graders. With no keyboarding instruction (familiarization or touch typing), students of these ages can generally type 3 to 5 wpm (Wetzel 1985, 1987; Stoecker 1988). Different testing procedures probably accounts for most of the variation in these results. Wetzel (1987) reports that 10 wpm is generally accepted as a benchmark writing rate for students in grades 4 through 6.
Can students learn to type as fast as they can write with a keyboard familiarization program and word processing practice alone? The results are mixed. Freyd and Kahn (1989) report two studies in which students were able to type at writing speed with just keyboard familiarization and practice. one group of 6th graders started with an average rate of 6.62 wpm in October. With one hour of word processing per week, they had increased their average speed to 10.12 wpm in May. On the other hand, Daiute (1985) found that 11 and 12 year olds could write more words by hand in 15 minutes than they could type on the computer even after six months of word processing experience. Dalton, Morocco, and Neale (1988) found that 4th graders were initially comfortable word processing without touch typing instruction, but became frustrated later in the year as they needed to enter longer texts into the computer. In this study, however, students began using the word processor with no previous keyboard familiarization, so the results are not surprising.
Advocates of touch typing frequently claim that teaching touch typing to students who first learned to type without proper fingering techniques is very difficult or impossible (Kisner 1984; Stewart and Jones 1985; National Business Educators Association 1987; Abrams 1988; Balajthy 1988). No empirical evidence is presented to substantiate this claim, however. Wetzel (1987) interviewed several typing teachers, some of whomwere concerned about the “hunt and peck unlearning” problem, but others were not concerned, based on their own teaching experiences. West (1983) reports successfully teaching “hunt and peck” typists to use correct touch typing finger positions with about 10 hours of instruction.
By grade 3, children are developmentally able to touch type on electric keyboards. Advocates of touch typing generally agree that students should receive instruction just prior to the time they will need to use touch typing skills for word processing. If studen ts do not regularly practice typing, their skills can deteriorate in as little as six weeks (Warwood 1985). Wetzel (1987) found that students regress in their skills if they do not practice regularly after 20 hours of initial instruction. He cites business education research that students tend to retain their skills once they reach a plateau of 20 wpm. Gerlach (1987) ,found that with continued practice, students continue to improve their speed. In her study, 6th grade students who averaged 9.71 wpm after a 6 to 8 hour keyboarding course improved to 12.27 wpm four months later with continuing word processing practice.
Business educators have proposed a number of touch typing programs for elementary school students, some based on a recommended amount of instruction, others based on a performance criterion. Kisner (1984) recommended touch typing instruction in 20 to 30 minute periods, to a criterion of 20 wpm in Grade 3 or 25 wpm in grades 4 through 6. These recommendations seem to comefrom the experience of business education teachers with high school students rather than from keyboarding experience with elementary school children.
Jackson and Berg (1986) recommend 30 hours of instruction spread over two or three years, with weekly 30 minute review sessions. Instruction should take place in 20 to 30 minute periods, using a combination of software and a textbook. The recommended course sequence follows the traditional typing course, starting with the home row and introducing two new keys per session, with appropriate drills. Teachers should monitor the students continuously to make sure they are using proper form. Instruction should emphasize speed, not accuracy.
In 1987, the National Business Education Association (NBEA) proposed standards for keyboarding instruction in elementary schools. The NBEA recommended that elementary school students learn touch typing to a criterion of 15 wpm, and middle school students further develop their skill to a criterion of 25 wpm. Not surprisingly, the NBEA recommended that business education teachers, rather than elementary school classroom teachers, provide the instruction.
Wetzel (1985) surveyed the literature on touch typing programs for elementary school students, finding that fifth graders could be taught to touch type 22 wpm with a nine-weeks of daily instruction for 45 minutes, and fifth and sixth graders could achieve 40 wpm by spending one hour daily for a full year.
Alternatively, a more limited keyboarding instruction program consisting of instruction in correct fingering techniques and practice with a computer typing tutorial could lead to an average typing rate of 10 wpm in four weeks of 35 minute sessions or 15 wpm in nine weeks of such sessions. He also observed third, fourth, and fifth graders using word processors without touch typing instruction, finding that those who could type from 7 to 10 wpm were able to make adequate use of the computer for word processing. Given the heavy demands on teaching time in elementary schools, the relatively low level of typing skill needed to facilitate word processing and other computer activity, and the students’ ability to increase typing proficiency through continued computer use, Wetzel recommended a limited keyboarding program to accomplish a typing speed of 10 wpm in a relatively short period of time.
In a later paper, Wetzel (1987) modified these recommendations to take into account differing amounts of computer usage. If students regularly use computers at least two hours per week, Wetzel feels that they will get enough practice to sustain typing skills, justifying a 20 to 30 hour period of initial instruction in touch typing. If students characteristically use computers one hour per week or less, only a much more limited program of keyboard familiarization is recommended.
Stoecker (1988) developed a touch typing program ofinstruction designed for use by elementary school teachers. After a four week course, 20 sessions of 30 minutes each, fifth and sixth graders achieved typing rates of about 12 wpm. Stoecker’s program consists of student and teacher materials for use with any word processor. He has found that elementary school classroom teachers can learn to use this approach through a one day long training workshop.
Balajthy (1988) emphasizes the importance of integrating keyboarding instruction into the language arts curriculum. He cites recent studies showing that keyboarding can improve language arts skills, results which are consistent with the typewriter-based studies of the 1930′s and 19401s. Balajthy, like Wetzel, finds that students can achieve adequate typing skills with a limited period of keyboarding instruction-about 8 to 10 hours-followed by regular practice with computer activities. Like Stoecker, Balajthy recommends teacher- keyboarding instruction using a word processor rather than use of a software-based tutorial. Balajthy (1987) cautions that unless students have significant amounts of ongoing typing or word processing activity, touch typing instruction is a waste of time because skills will deteriorate rapidly.
One reason why Stoecker and Balajthy recommend keyboarding instruction on word processors with teacher supervision is because computer tutorials cannot monitor correct fingering and other aspects of proper touch typing. Stoecker (1988) reportsthat non-typists tend to use two fingers unless a teacherobserves. In contrast, Mikkelson and Gerlach (1988) performed acontrolled study in which third to sixth graders worked with a computer typing tutorial. Half of the students were supervised and encouraged to use proper touch typing form; the other half were observed but not supervised. The results were surprising–both groups made similar progress in typing skill, and there was no difference between groups in propensity to use correct touch typing techniques.
If Mikkelson and Gerlach’s results are generalizable, it would be possible for elementary school teachers to obtain satisfactory results by teaching touch typing through limited individual work with a computer typing tutorial. Such instruction could take place on classroom computers while other activities were taking place. If students need to be supervised to insure proper fingering techniques, then either elementary classroom teachers will need to be trained to teach touch typing or business education teachers will be needed.
Keyboarding and the Future
In their Database of Competencies for Business Curriculum Development, the NBEA defined keyboarding as follows:
Keyboarding is defined as the act of placing information into various types of equipment through the use of a typewriter-like keyboard. Typewriting and keyboarding are not synonymous. The focus of a keyboarding course is on input rather than output. (NBEA 1987, A-19)
Keyboarding is seen as a way to input information into a computer so that it can be manipulated. Thus, initial accuracy is less important than speed, ability to manipulate text is more important than formatting skills for specific types of documents, and composing is more important than transcribing (so it does not matter so much if the typist looks at the keys).
These distinctions recognize important changes in the purposes for which people type on Industrial Age typewriters and on Information Age computer keyboards. Yet, if we look closely at the keyboarding programs proposed by business educators, we find a methodology geared to the Industrial Age purpose of transcribing rather than the Information Age purpose of composing (Freyd and Kahn 1989).
This discrepancy is not surprising. As Naisbitt (1982) observed, people tend first to use a new technology in the same ways they have used older technologies which seem similar. only after a (sometimes lengthy) period of incubation do we see new directions or uses that grow out of the technology itself. So, at this point it is useful to take a step back and consider whether we might be looking at the keyboarding issue all wrong.
Graves (1983) has determined that five and six year old beginning writers compose at a painstakingly slow pace of 1.5 words per minute. At that rate, writing down a six word sentence can take up to nine minutes. Even five and six year olds who are unfamiliar with keyboards can compose more quickly and easily oncomputers than by hand (Wetzel, 1985). Graves has remarked that “one can imagine starting kids off writing on keyboards and save handwriting until motor skills are more highly refined.” (Green 1984).
Fry (1987) has proposed that schools eliminate the teaching of cursive writing and substitute keyboarding. He points out that cursive writing is not taught in European schools; students learn manuscript, and then develop their own handwriting style through shortcuts. By teaching cursive writing instead of keyboarding, Fry says, “we are training for the last century instead of for the next century.”
The issue of touch typing versus two-finger typing may be similar. Gertner and Norman (1984) have observed that the main advantage of touch typing is in copying. Copying is important for Industrial Age clerks and typists to transcribe business documents, but it is irrelevant to writers using word processing to compose and edit. By insisting on touch typing, are we training for the last century instead of for the next?
The New York State Keyboarding Curriculum
The New York State Board of Regents Action Plan to Improve Elementary and Secondary Education Results in New York calls for instruction in keyboarding to be “included in the State-developed English Language Arts Syllabus.” A state education department curriculum guide entitled Developing Keyboarding Skills to Support the Elementary Language Arts Program further stipulates that “approximately 18 to 20 hours of instruction should be devoted to keyboarding instruction within the framework of the Language Arts Program in the elementary grades.” (New York State Education Department 1986, 23).
The state keyboarding curriculum closely parallels material published by the National Business Education Association and by-state and local business education personnel. As described above, this means that the general thrust of the guide recognizes different needs and objectives between traditional typing instruction and keyboarding instruction, the recommended teaching strategies follow a more or less traditional touch typing approach. The influence of the business education community is apparent from the Suggested Readings offered in Appendix B. Of the 25 references listed on pages 29 and 30, 15 are to business education sources, and only 4 are to computer education and 3 more to general education sources.
The state curriculum clearly reflects the relative strength of business educators compared with computer coordinators in New York. For example, under “General Guidelines for Achieving Outcomes,” the guide suggests that:
business education teachers should be called upon to assist in the development of keyboarding curricula, in-service training, and selection of materials and methodology. (5)
Under “Planning for Teacher Awareness and Training:
… the business education teacher … can be very helpful in developing the plan and for training other teachers inappropriate keyboarding techniques. Business education teachers can also serve as a resource once a program is in place to conduct follow- activities as needed. (6)
Under delivery of instruction, the curriculum calls for students to learn touch typing, including correct fingering, posture, and eye contact (away from the keyboard, that is). The guide stops short of requiring business education teachers to teach the keyboarding courses, but states:
Teachers who have been trained in keyboarding methodology are of considerable importance in achieving these goals. (7)
In contrast, computer coordinators are mentioned only once in thecurriculum guide. The guide clearly views computer coordinators as technicians rather than instructional leaders, suggesting that they can be helpful in scheduling labs, repairing equipment, finding software and the like. The next sentence reminds the reader that knowledgeable high school students can also provide “considerable assistance.” (7)
To its credit, the state keyboarding guide does focus on integrating keyboarding into the language arts curriculum, as suggested by Balajthy (1988) and others. But it leans so heavily for its methodology on the perspective of the past that it is” suspect as a guide to the future.
Conclusions and Recommendations
There is widespread agreement that elementary school students need keyboarding skills. Whether keyboardfamiliarization is sufficient or whether students need touch typing skills depends on the nature of the school’s language arts and computer education curricula.
Touch typing courses are only effective if students receive a substantial period of initial instruction followed by regular practice throughout the school year. Touch typing courses can be recommended when computers are fully integrated into the language arts curriculum and when students regularly have at least two hours of individual computer time per week. In this type of environment, the initial touch typing instruction should occur at the time when students will first become involved with computers on a regular basis. The initial instruction should be provided either by specialists or by classroom teachers who have been given training in how to teach touch typing.
In situations where students make more limited use of computers, the evidence at hand suggests that a program of keyboard familiarization is sufficient to provide adequate keyboarding skills to support word processing and other uses of computers in elementary schools. Keyboard familiarization can be taught by classroom teachers assisted by appropriate computer software.
As we move further into the Information Age, fundamental changes in our school curricula will follow, paralleling the changing needs of society. Envisioning these changes, we can imagine a time when keyboarding will replace cursive writing asan essential skill for elementary school children, complementing a language arts curriculum using computers extensively for such activities as writing with word processors. Developing an Information Age language arts curriculum with keyboarding as a fundamental skill should be a central focus of our long-range curriculum planning.
Abrams, Jeri. “Keys to Keyboarding.” Boston Computer Society Education Special Interest Group News 4 (November/December 1988): 6-12.
Balajthy, Ernest. “Keyboarding and the Language Arts.” The Reading Teacher 41 (October 1987): 86-87.
Balajthy, Ernest. “Keyboarding, Language Arts, and the Elementary School Child.” The Computing Teacher 15 (February 1988): 40-43.
Daiute, Colette. Writing and Computers. Reading, MA: AddisonWesley, 1985.
Dalton, Bridget M., Catherine Cobb Morocco, and Amy E. Neale.
“I’ve Lost My Story!” Mastering The Machine Skills for Word Processing. Paper presented at the annual meeting of the American Educational Research Association, New Orleans, 1988.
Freyd, Pamela and Jessica Kahn. “Touch Typing in Elementary Schools-Why Bother?” In William C. Ryan, Ed. Proceedings of the National Educational Computing Conference 1989. Eugene, OR: International Council on Computers for Education, 1989.
Fry, Edward. Computer Keyboarding for Children. NY: Teachers College Press, 1984.
Fry, Edward. Quoted in “Keyboarding replacing writing: Penmanship should be out and typing in, professor says.” The Associated Press, 2 February, 1987.
Gentner, Donald and Donald Norman. “The Typist’s Touch.” Psychology Today 18 (March 1984): 67-72.
Gerlach, Gail J. The Effect of Typing Skill on Using a Word Processor-for Composition. Paper presented at the annual meeting of the American Educational Research Association, Washington, DC, 1987.
Gibbon, Samuel Y., Jr. “Learning and Instruction in the Information Age.” In Mary Alice White, Ed. What Curriculum for the Information Age? Hillsdale, NJ: Erlbaum, 1987.
Graham, Steve and Lamoine Miller. “Handwriting Research and Practice: A Unified Approach.” focus on Exceptional Children 13 (1980): 1-16.
Graves, Donald H. Writing: Teachers-and Children at Work. Exeter, NH: Heinemann, 1983.
Green, John 0. “Computers and Writing: An Interview with Donald Graves.” Classroom Computer Learning 4 (March 1984): 21-23, 28.
Jackson, Truman H. and Diane Berg. “Elementary Keyboarding-Is it important?” The Computing Teacher 13 (March 1986): 8-11.
Kisner, Evelyn. “Keyboarding-A Must in Tomorrow’s World.” The Computing Teacher 11 (February 1984): 21-22.
Koenke, Karl. “ERIC/RCS Report: Keyboarding: Prelude to Composing at the Computer-” English Education 19 (December 1987): 244-249.
McCrohan, Jane. Teaching Keyboarding: The first step in making the computer an effective writing tool. Paper presented at the New Jersey Educational Computing Conference, 1989.
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In First Chance to Make a Learning Impression, my friend Will Richardson shares his disappointment with the “back-to-school” packets he just received in anticipation of his children’s next school year. Will explains how the focus of the packet is on everything but learning.
Just for fun, I set out to see how long it would take to find the word “learning” somewhere in the mix. Nothing on the first page, or the second, or the third…by the time I finally found the first instance I had stopped counting. It was a buried line in a letter from the principal explaining that due to NCLB, every teacher has to be “highly qualified” and that “every teacher continues life-long learning through professional development activities.”
Will’s 2013 article reminded me of a similar article I wrote for District Administration Magazine way back in 2004. I recommend reading Will’s article as well.
The back-to-school commercials each summer fill me with dreadful flashbacks of my own days as a student. As a parent, the end of summer is signaled by a last-minute desire to squeeze in a bit more family fun and the arrival of a large ominous envelope from the local high school. The package contains countless documents commanding our immediate attention and signatures in triplicate.
This enormous collection of murdered trees contains countless rules, regulations and a list of innumerable sanctions the school intends to visit upon my child. As if this draconian catalogue of crimes and subsequent punishments were not bad enough, I am then expected to sign the documents, implying that I agree with them.
This recent and disturbing phenomenon leaves me with many unanswered questions. What if I don’t sign the forms? When did the local public school become a gulag? Was there a public meeting in The Hague at which these rules and sanctions were compiled and democratically agreed to? Is this the best way to start a fresh school year? Can I have Johnnie Cochran look over the documents before I affix my signature?
If the school expects parents to sign-off on a list of ways school discipline may be enforced, perhaps I can circulate a list of expectations for how I expect the school to educate my child. It only seems fair.
So here’s my list, in no particular order:
- School to home communications will be proofread and spell-checked
- Teachers will take reasonable steps to maintain expertise in their subject area
- Homework will be purposeful and only assigned when necessary to reinforce a concept, engage in a long-term project or as the result of work not completed in-class
- Children will be encouraged to play
- Classroom libraries will be stocked with interesting books
- Students will not be treated as numbers
- Teachers will discuss current events with their students
- Students will be encouraged to talk about books they read, not just create mobiles and book reports
- School personnel will publish their e-mail addresses and respond to e-mail promptly
- The school district Web site will be updated more often than every five years
- Class sizes will be 20 or lower
- Teachers will attend at least one professional learning event outside of the school district per year
- Teachers will not talk down to children
- Punishment will be viewed as a last resort
- The school will offer rich visual and performing arts opportunities for all students
- Curriculum will endeavor to remain relevant and connected to the world
- Classroom rules will be developed democratically
- There will be formal and informal opportunities for parents to interact with teachers
- The principal will be accessible to students and parents
- Administrators will make an effort to interact with students in positive contexts
- Student diversity will be valued and celebrated
- Cooperation will be valued over competition
- The school will refrain from sorting, tracking, streaming and labeling children
- Students will play a large role in all aspects of the life of the school;
- Authentic forms of assessment will be used
- A modern functioning computer will be available whenever a child needs one
- Teachers will embrace opportunities to learn with and from students
- The school will take teacher input seriously
- Teachers will feel supported and encouraged to take risks
- Effective models of professional development will be designed and include the participation of the principal
- Equal attention and resources will be applied to the arts as to sports
I certainly sized the opportunity to pull no punches. I left no myth behind. Perhaps a few school business administrators will think differently about some of their decisions in the future.
A PDF of the article is linked below. I hope you enjoy the interview and share it widely!
Laptops and Learning
Can laptop computers put the “C” (for constructionism) in Learning?
Published in the October 1998 issue of Curriculum Administrator
© 1998 – Gary S. Stager
“…Only inertia and prejudice, not economics or lack of good educational ideas stand in the way of providing every child in the world with the kinds of experience of which we have tried to give you some glimpses. If every child were to be given access to a computer, computers would be cheap enough for every child to be given access to a computer.” - Seymour Papert and Cynthia Solomon (1971)
In 1989, Methodist Ladies’ College (MLC) in Melbourne, Australia embarked on a still unparalleled learning adventure. Eighteen years after Solomon and Papert’s prediction this school made a commitment to personal computing and constructionism. The unifying principle was that every child in the school (from grades 5-12) would own a personal laptop computer on which they could work at school, at home, and across the curriculum with a belief that their ideas and work were being stored and manipulated on their own personal computer. Ownership of the laptop computer would reinforce ownership of the knowledge constructed with it. The personal computer is a vehicle for building something tangible outside of your head – one of the tenets of constructionism. By 1994, 2,000 MLC teachers and students had a personal laptop computer. This school, like most serious workplaces now has a computer ration of more than one computer per worker (teacher & student). Today, approximately 50,000 Australian school children have their own laptop. More and more American schools are embracing laptops as well.
Personal Computing – Personal Learning
Until recently, the notion of the PC and personal computing has escaped schools. Computer labs, special furniture and computer literacy curricula have been designed to make efficient use of scarce public resources. The potential benefits of using a word processor to write, edit and publish are rarely realized when access to the computer is limited and artificially scheduled. Laptops provide a personal space for creating, exploring, and collecting one’s own ideas, work, and knowledge in a more fluid manner. Pioneering schools like MLC adopted laptops for the following reasons:
The laptop is flexible, portable, personal and powerful
Students and teachers may use the computer whenever and wherever they need to. The laptop is a personal laboratory for intellectual exploration and creative expression. Learning extends beyond the walls and hours of the school.
The laptop helps to professionalize teachers
Teachers equipped with professional tools view themselves more professionally. Computers are much more likely to be integrated into classroom practice when every student has one.
Provocative models of learning will emerge
Teachers need to be reacquainted with the art of learning before they are able to create rich supportive learning environments for their students. The computer allows different ways of thinking, knowing and expressing ones own ideas to emerge. The continuous collection of learning stories serves as a catalyst for rethinking the nature of teaching and learning.
Gets schools out of the computer business
Laptops are a cost-effective alternative to building computer labs, buying special furniture and installing costly wiring. Students keep laptops for an average of three years, a turnover rate rarely achieved by schools. Built-in modems provide students with net access outside of school. The school can focus resources on projection devices, high-quality peripherals and professional development.
Since my work with the world’s first two “laptop schools” in 1990, I’ve helped dozens of similar schools (public and private) around the world make sense of teaching and learning in environments with ubiquitous computing. My own experience and research by others has observed the following outcomes for students and teachers.
- Students take enormous pride in their work.
- Individual and group creativity flourishes.
- Multiple intelligences and ways of knowing are in ample evidence.
- Connections between subject areas become routine.
- Learning is more social.
- Work is more authentic, personal & often transcends the assignment.
- Social interactions tend to me more work-related.
- Students become more naturally collaborative and less competitive.
- Students develop complex cooperative learning strategies.
- Kids gain benefit from learning alongside of teachers.
- Learning does not end when the bell rings or even when the assignment is due.
- The school’s commitment to laptops convinces teachers that computers are not a fad. Every teacher is responsible for use.
- Teachers reacquaint themselves with the joy and challenge of learning something new.
- Teachers experience new ways of thinking, learning and expressing one’s knowledge.
- Teachers become more collaborative with colleagues and students.
- Authentic opportunities to learn with/from students emerge.
- Sense of professionalism and self-esteem are elevated.
- Thoughtful discussions about the nature of learning and the purpose of school become routine and sometimes passionate.
- Teachers have ability to collaborate with teachers around the world.
- New scheduling, curriculum and assessment structures emerge.
“I believe that every American child ought to be living in the 21st century… This is why I like laptops – you can take them home. I m not very impressed with computers that schools have chained to desks. I m very impressed when kids have their own computers because they are liberated from a failed bureaucracy …
You can’t do any single thing and solve the problem. You have to change the incentives; you’ve got to restructure the interface between human beings. If you start redesigning a learning system rather than an educational bureaucracy, if you have incentives for kids to learn, and if you have 24-hour-a-day, 7-day a week free standing opportunities for learning, you’re going to make a bigger breakthrough than the current bureaucracy. The current bureaucracy is a dying institution.” – U.S. Speaker of the House of Representatives, Newt Gingrich (Wired Magazine, August 1995)
When Seymour Papert and Newt Gingrich are on the same side of an issue, it is hard to imagine an opposing view. The fact that computers are smaller, cheaper and more powerful has had a tremendous impact on society. Soon that impact will be realized by schools. Laptop schools are clearly on the right side of history and will benefit from the experience of being ahead of trend.
Much has been said recently about the virtues of anytime anywhere learning. Laptops certainly can deliver on that promise. Integrated productivity packages may be used to write, manipulate data and publish across the curriculum. However, the power of personal computing as a potential force for learning and as a catalyst for school reform transcends the traditional view of using computers to “do work.” I encourage school leaders considering an investment in laptops to dream big dreams and conceive of ways that universal computing can help realize new opportunities for intellectual development and creative expression.
I’ve watched American Idol since its inception and am a fan. Months ago, I predicted that Angie would win this year. we will know for sure in a few weeks.
In the post-Simon Cowell years of American Idol, the quality of judging has become tedious, cloying and adoring of the young contestants. There has been little instructive teaching for the kids competing or the audience at home. That’s a shame because American Idol used to feature legendary artists every week as mentors who would perform a quickie masterclass for contestants (and audience) who otherwise would enjoy no such access to expertise. One of my favorite mentors a few years back was Harry Connick, Jr. It was also one of the lowest rated episodes of the season. Despite the relative (un)popularity of Mr. Connick, he taught the kids, played with them and wrote charts suited to their talents. He was a great mentor.
I was thrilled to see Harry back on Idol again this week and he ignited a firestorm when he refused to agree with the incredibly terrible advice being dispensed by an incredibly disingenuous Randy Jackson. You can the details of his awful advice in the well-written article linked below, but suffice to say that Mr. Jackson knows better. He may not have the talent and musical knowledge of Harry Connick, Jr., but he has enjoyed a great deal of success in the music business. If Randy Jackson had been paying for Kree’s studio time as a producer, his advice would have been exactly the same as that of Mr. Connick.
After Wednesday night’s show, an educator colleague of mine posted the following message on Facebook:
Harry Connick seems sort of mean and opinionated. #justsayin
TEACHERS SHOULD HAVE OPINIONS and be great at what they do!I could not disagree more. American Idol vs. Harry Connick Jr. is a great metaphor for everything wrong with American culture. The entire season has been spent repeating clichés and telling the contestants that they are geniuses. Celebrity and popularity are not the same as talent or artistry.
How dare those kids call themselves artists? Artist, reformer and revolutionary are terms that must be bestowed upon you by others. As Seinfeld said, “I’m 17. Why aren’t I huge?”
Harry Connick, Jr. is an incredibly gifted singer, pianist, composer, arranger, technology pioneer and he acts too. He has been a professional musician since he was 5.
He is an expert in jazz history and the American songbook.
Amber and Kree’s performance of classic standards was atrocious. It is NOT unreasonable to expect “singers” about to get rich beyond their dreams to learn or understand a song. Countless thousands of peers of the “Idols” studying music around the country do so. In fact, jazz majors at Julliard are required to memorize every piece of music they perform, including full big band arrangements.
My friend Emmet Cohen is 22 years old and knows a few thousand songs that he can play and improvise on in 12 keys. That’s artistry and talent.
Harry gave Kree incredibly good advice and she ignored all of it. She added runs to almost every note. It was unmusical.
Harry Connick is the expert. Kree is the student. She should behave accordingly and be open to instruction. Randy’s advice to her was completely disingenuous. He would NEVER tolerate such a shambolic performance if he was spending his time or money producing her.
The judges do the kids no favor my not teaching them or asking them to “just be Kree.” Being Kree is terrible advice. She’s an amateur with a lot to learn.
I sure wish every American student could have a good music teacher. It would make the world a better place!
- As Randy Jackson reminds us constantly, “this is a singing competition!” Singers should be able to sing anything.
- The #1 album today is by Michael Bublé, a guy who sings the Great American Songbook. These classic songs are contemporary hits.
“The point Connick tried to make, which Jackson didn’t want to hear, was that the show’s contestants didn’t know these classic songs well enough to take liberties with their melodies and lyrics. In doing so, they were murdering the music.” – John Stark
Almost daily, a colleague I respect posts a link to some amazing tale of classroom innovation, stupendous new education product or article intended to improve teaching practice. Perhaps it is naive to assume that the content has been vetted. However, once I click on the Twitter or Facebook link, I am met by one of the following:
- A gee-whiz tale of a teacher doing something obvious once, accompanied by breathless commentary about their personal courage/discovery/innovation/genius and followed by a steam of comments applauding the teacher’s courage/discovery/innovation/genius. Even when the activity is fine, it is often the sort of thing taught to first-semester student teachers.
- An article discovering an idea that millions of educators have known for decades, but this time with diminished expectations
- An ad for some test-prep snake oil or handful of magic beans
- An “app” designed for kids to perform some trivial task, because “it’s so much fun, they won’t know they’re learning.” Thanks to sites like Kickstarter we can now invest in the development of bad software too!
- A terrible idea detrimental to teachers, students or public education
- An attempt to redefine a sound progressive education idea in order to justify the status quo
I don’t just click on a random link from a stranger, I follow the directions set by a trusted colleague – often a person in a position of authority. When I ask them, “Did you read that article you posted the link to?” the answer is often, “I just re-read it and you’re right. It’s not good.” Or “I’m not endorsing the content at the end of the link, “I’m just passing it along to my PLN.”
First of all, when you tell me to look at something, that is an endorsement. Second, you are responsible for the quality, veracity and ideological bias of the information you distribute. Third, if you arenot taking responsibility for the information you pass along, your PLN is really just a gossip mill.
If you provide a link accompanied by a message, “Look at the revolutionary work my students/colleagues/I did,” the work should be good and in a reasonable state of completion. If not, warn me before I click. Don’t throw around terms like genius, transformative or revolutionary when you’re linking to a kid burping into Voicethread!! If you do waste my time looking at terrible work, don’t blame me for pointing out that the emperor has no clothes.
Just today, two pieces of dreck were shared with me by people I respect.
1) Before a number of my Facebook friends shared this article, I had already read it in the ASCD daily “Smart” Brief. Several colleagues posted or tweeted links to the article because they yearn for schools to be better – more learner-centered, engaging and meaningful.
One means to those ends is project-based learning. I’ve been studying, teaching and speaking about project-based learning for 31 years. I’m a fan. I too would like to help every teacher on the planet create the context for kids to engage in personally meaningful projects.
However, sharing the article, Busting myths about project-based learning, will NOT improve education or make classrooms more project-based. In fact, this article so completely perverts project-based learning that it spreads ignorance and will make classroom learning worse, not better.
This hideous article uses PBL, which the author lectures us isn’t just about projects (meaningless word soup), as a compliment to direct instruction, worksheets and tricking students into test-prep they won’t mind as much. That’s right. PBL is best friends with standardized testing and worksheets (perhaps on Planet Dummy). There is no need to abandon the terrible practices that squeeze authentic learning out of the school day. We can just pretend to bring relevance to the classroom by appropriating the once-proud term, project-based learning.
Embedding test-prep into projects as the author suggests demonstrates that the author really has no idea what he is talking about. Forcing distractions into a student’s project work robs them of agency and reduces the activity’s learning potential. The author is also pretty slippery in his use of the term, “scaffolding.” Some of the article doesn’t even make grammatical sense.
Use testing stems as formative assessments and quizzes.
The article was written by a gentleman who leads professional development for the Buck Institute, an organization that touts itself as a champion of project-based learning, as long as those projects work backwards from dubious testing requirements. This article does not represent innovation. It is a Potemkin Village preserving the status quo while allowing educators to delude themselves into feeling they are doing the right thing.
ASCD should be ashamed of themselves for publishing such trash. My colleagues, many with advanced degrees and in positions where they teach project-based learning, should know better!
If you are interested in effective project-based learning, I’m happy to share these five articles with you.
2) Another colleague urged all of their STEM and computer science-interested friends to explore a site raising money to develop “Fun and Creative Computer Science Curriculum.” Whenever you see fun and creative in the title of an education product, run for the hills! The site is a fund-raising venture to get kids interested in computer science. This is something I advocate every day. What could be so bad?
Thinkersmith teaches computer science with passion and creativity. Right now, we have 20 lessons created, but only 3 packaged. Help us finish by summer!
My experience in education suggests that once you package something, it dies. Ok Stager, I know you’re suspicious of the site and the product searching for micro-investors, but watch the video they produced. It has cute kids in it!
So, I watched the video…
Guess what? Thinkersmith teaches computer science with passion and creativity – and best of all? YOU DON’T EVEN NEED A COMPUTER!!!!!!
Fantastic! Computer science instruction without computers! This is like piano lessons with a piano worksheet. Yes siree ladies and gentleman, there will be no computing in this computer science instruction.
A visitor to the site also has no idea who is writing this groundbreaking fake curriculum or their qualifications to waste kids’ time.
Here we take one of the jewels of human ingenuity, computer science, a field impacting every other discipline and rather than make a serious attempt to bring it to children with the time and attention it deserves, chuckleheads create cup stacking activities and simplistic games.
There are any number of new “apps” on the market promising to teach kids about computer science and programming while we should be teaching children to be computer scientists and programmers.
At the root of this anti-intellectualism is a deep-seated belief that teachers are lazy or incompetent. Yet, I have taught thousands of teachers to teach programming to children and in the 1980s, perhaps a million teachers taught programming in some form to children. The software is better. The hardware is more abundant, reliable and accessible. And yet, the best we can do is sing songs, stack cups and color in 2013?
What really makes me want to scream is that the folks cooking up all of these “amazing” ideas seem incapable of using the Google or reading a book. There is a great deal of collected wisdom on teaching computer science to children, created by committed experts and rooted in decades worth of experience.
If you want to learn how to teach computer science to children, ask me, attend my institute, take a course. I’ll gladly provide advice, share resources, recommend expert colleagues and even help debug student programs. If you put forth some effort, I’m happy to match it.
There is no expedient to which a man will not resort to avoid the real labor of thinking.
-Sir Joshua Reynolds
Don’t lecture me about the power of social media, the genius of your PLN, the imperative for media literacy or information curation if you are unwilling to edit what you share. I share plenty of terrible articles via Twitter and Facebook, but I always make clear that I am doing so for purposes or warning or parody. The junk is always clearly labeled.
Please filter the impurities out of your social media stream.You have a responsibility to your audience.
* Let the hysterical flaming begin! Comments are now open.
Computationally-Rich Activities for the Construction of Mathematical Knowledge – No Squares Allowed
©1998 Gary S. Stager with Terry Cannings
This paper was published in the proceedings of the 1998 National Educational Computing Conference in San Diego
Based on a book chapter: Stager, G. S. (1997). Logo and Learning Mathematics-No Room for Squares. Logo: A Retrospective. D. L. Johnson and C. D. Maddux. Philadelphia, The Haworth Press: 153-169.
The NCTM Standards state that fifty percent of all mathematics has been invented since World War II. (National Council of Teachers of Mathematics, 1989) Few if any of these branches of mathematical inquiry have found their way into the K-12 curriculum. This is most unfortunate since topics such as number theory, chaos, topology, cellular automata and fractal geometry may appeal to students unsuccessful in traditional math classes. These new mathematical topics tend to be more contextual, visual, playful and fascinating than adding columns of numbers or factoring quadratic equations. Logo provides a powerful medium for rich mathematical explorations and problem solving while providing a context in which students may fall in love with the beauty of mathematics. The examples in this paper are intended to spark the imaginations of teachers and explore several mathematical areas ripe for Logo-based investigations.
While it may seem obvious to assert that computers are powerful computational devices, their impact on K-12 mathematics education has been minimal. (Suydam, 1990) More than a decade after microcomputers began entering schools, 84% of American tenth graders said they never used a computer in math class.(National Center for Educational Statistics, 1984) Computers provide a vehicle for “messing about” with mathematics in unprecedented learner-centered ways. “Whole language” is possible because we live in a world surrounded by words we can manipulate, analyze and combine in infinite ways. The same constructionist spirit is possible with “whole math” because of the computer. In rich Logo projects the computer becomes an object to think with – a partner in one’s thinking that mediates an ongoing conversation with self.
Many educators equate Logo with old-fashioned turtle graphics or suggest that Logo is for the youngest of children. Neither of these beliefs is true. Although traditional turtle graphics continues to be a rich laboratory in which students construct geometric knowledge, Logo is flexible enough to explore the entire mathematical spectrum. Logo continues to satisfy the claim that it has no threshold and no ceiling. (Harvey, 1982) Best of all, Logo provides a context in which children are motivated to solve problems and express themselves.
The National Council of Teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics recognizes Logo as a software environment that can assist schools in meeting the goals for the improvement of mathematics education. In fact, Logo is the only computer software specifically named in the document.
The Goals of the NCTM (1984) Standards for All Students
- learn to value mathematics
- become confident in their ability to do mathematics
- become mathematical problem solvers
- learn to communicate mathematically
- learn to reason mathematically
The NCTM Standards state that fifty percent of all mathematics has been invented since World War II. (National Council of Teachers of Mathematics, 1989) Few if any of these branches of mathematical inquiry have found their way into the K-12 curriculum. This is most unfortunate since topics such as number theory, chaos, topology, cellular automata and fractal geometry may appeal to students unsuccessful in traditional math classes. These new mathematical topics tend to be more contextual, visual, playful and fascinating than adding columns of numbers or factoring quadratic equations. Logo provides a powerful medium for rich mathematical explorations and problem solving while providing a context in which students may fall in love with the beauty of mathematics.
Computer microworlds such as Logo turtle graphics and the topics of constructions and loci provide opportunities for a great deal of student involvement, In particular, the first two contexts serve as excellent vehicles for students to develop, compare and apply algorithms. (National Council of Teachers of Mathematics, 1989, p. 159)
The examples in this paper are intended to spark the imaginations of teachers and explore several mathematical areas ripe for Logo-based investigations. The project ideas use MicroWorlds, the latest generation of Logo software designed by Seymour Papert and Logo Computer Systems, Inc. MicroWorlds extends the Logo programming environment through the addition of an improved user interface, multiple turtles, buttons, text boxes, paint tools, multimedia objects, sliders and parallelism.
Parallelism allows the computer to perform more than one function at a time. Most computer-users have never experienced parallelism or the emergent problem solving strategies it affords. MicroWorlds makes this powerful computer science concept concrete and usable by five year-olds. The parallelism of MicroWorlds makes it possible to explore some mathematical and scientific phenomena for the first time. Parallelism also allows more conventional problems to be approached in new ways.
One source of inspiration for student Logo projects is commercial software. Progressive math educators have found software like The Geometric Supposer and the more robust Geometers’ Sketchpad to be useful tools for exploring Euclidian geometry and performing geometric constructions. I noticed that while teachers may use these tools as extremely flexible blackboards, kids can pull down a menu and request a perpendicular bisector to be drawn without any deeper understanding than if the problem was solved with pencil and paper.
Could middle or high school students design collaboratively their own such tools? If so, they would gain a more intimate understanding of the related math concepts because of the need to “teach” the computer to perform constructions and measurements. Throughout this process, teams of students are asked to brainstorm questions, share what they know and define paths for further inquiry. Students as young as seventh grade have developed their own geometry toolkits in MicroWorlds.
Much of learning mathematics involves naming actions and relationships. Logo programming enhances the construction of mathematical knowledge through the process of defining and debugging Logo procedures. The personal geometry toolkits designed by students are used to construct geometric knowledge and questions worthy of further investigation. As understanding emerges the tool can be enhanced in order to investigate more advanced problems.
At the beginning of this project students are given a few tool procedures to start with. These procedures are designed to:
- drop a point on the screen (each point is a turtle and in MicroWorlds every turtle knows where it is in space)
- compute the distance between two points
With these two sets of tool procedures students can create tools necessary for generating geometric constructions, measuring constructions and comparing figures. MicroWorlds’ paint tools may be used to color-in figures and to draw freehand shapes. The procedural nature of Logo allows for higher level functions to be built upon previous procedures. Figures 1a, 1b & 1c are screen shots of one student’s geometry toolkit.
Probability and Chance
Children use MicroWorlds to explore probability via traditional data collection problems involving coin or dice tosses and in projects of their own design. Logo’s easy to use RANDOM function appears in the video games, races, board games and sound effects of many students.
Perhaps the best use of probability I have encountered in a MicroWorlds project is in a project I like to call, “Sim-Middle Ages.” In this project a student satisfied the requirements for the unit on medieval life in a quite imaginative fashion. Her project allows the user to specify the number of plots of land, number of seeds to plant and the number of mouths to feed. MicroWorlds then randomly determines the amount of plague, pestilence, rainfall and rate of taxation to be encountered by the farmer.
On the next page there are two buttons. One button announces if you live or die in the middle ages and the other tells why, based on the user-determined and random variables. You may then go back and adjust any of the values in an attempt to survive. (figures 2a, 2b and 2c)
Things happen in the commercial simulations, but users often don’t understand the causality. In student-created simulations, students use mathematics in a very powerful way. They develop their own algorithms to model historical or scientific phenomena. This type of project can connect mathematics with history, economics, physical science and life science in very powerful ways.
“Number theory, at one time considered the purest of pure mathematics is simply the study of whole numbers, including prime numbers. This abstract field, once a playground for a few mathematicians fascinated by the curious properties of numbers, now has considerable practical value… in fields like cryptography.”(Peterson, 1988) Software environments, such as MicroWorlds, provide a concrete environment in which students may experiment with number theory. “Experimental math” projects benefit from Logo’s ability to control experiments, easily adjust a variable and collect data. Kids control all of the variables in an experiment and can swim around in the beaker with the molecules. Intellectual immersion in large pools of numbers is possible due to computer access. The scientific method comes alive through mathematical experimentation.
A fascinating experimental math problem to explore with students is known as the 3N problem. The problem is also known by several other names, including: Ulam’s conjecture, the Hailstone problem, the Syracuse problem, Kakutani’s problem, Hasse’s algorithm, and the Collatz problem. The 3N problem has a simple set of rules. Put a number in a “machine” (Logo procedure) and if it is even, cut in half – if it is odd, multiply it by 3 and add 1. Then put the new value back through the machine. For example, 5 becomes 16, 16 becomes 8, becomes 4, 4 becomes 2, 2 becomes 1, and 1 becomes 4. Mathematicians have observed that any number placed into the machine will eventually be reduced to a repeating pattern of 4…2…1…
While this is an interesting pattern, what can children explore? Well, it seems that some numbers take a long time to get to 4…2…1… I call each of the numbers that appear before 4, a “generation.” I often expose students to this problem by trying a few starting numbers and leading a discussion. Typing SHOW 3N 1 takes 1 generation to get to 4. Students may then predict that the number 2 will take two generations and they would be correct. They may then hypothesize that the number entered will equal the number of generations required to get to 4. However, 3N 3 takes 5 generations! I then ask, “how can we modify our hypothesis to save face or make it look like we were at least partially right?” Kids then suggest that the higher the number tried, the longer it will take to get to 4…2…1… They may even construct tables of the previous data and make numerous predictions for how the number 4 will behave only to find that 4 takes zero generations (for obvious reason that it is 4).
I then tell the class that they should find a number that takes a long time to get to 4…2…1… I do not specify what I mean by a “long time” in order to let the young mathematicians agree on their own limits. The notion of limits is a powerful mathematical concept which helps focus inquiry and provides the building blocks of calculus. Students often test huge numbers before realizing that they need to be more deliberate in their experimentation. The working definition of “long time” changes as the experiment continues. Eleven generations may seem like a long time until a group of kids test the number 27. Gasps and a chorus of wows can be heard when 27 takes 109 generations. Then I ask the class to tell me some of the characteristics of 27. Students often list some of the following hypotheses:
It’s 3 * 3 * 3 (an opportunity to introduce the concept of cubed numbers)
The sum of the digits = 9
The number is greater than 25
We then test each of the hypotheses and discard most of them. The cubed number hypothesis is worthy of further investigation. If we test the next cubed number, 4, with SHOW 3N 4 * 4 * 4 we find that it does not take long to get to 4. One student may suggest that only odd perfect cubes take a long time. I then suggest that the other students find a way to disprove this hypothesis by finding either an odd perfect cube that doesn’t take a long time or an even cube that does. Both exist.
to 3n :number
ifelse even? :number [3n :number / 2] [3n (:number * 3) + 1]
to even? :number
output 0 = remainder :number 2
A simple tool procedure may be added to count the number of generations for the “researcher.” The more you play with this problem, the more questions emerge. A bit more programming allows you to ask the computer to graph the experimental data or keep track of numbers that take longer than X generations to reach 4…2…1… Running such experiments overnight may lead to other interesting discoveries, like the numbers 54 and 55 each take 110 generations. What can adjacent numbers have in common? 108, 109 and 110 each take 111 generations. Could this pattern have something to do with place value? How could you find out? (see figures 4a & 4b)
The joy in this problem for kids and mathematicians is connected to the sense that every time you think you know something, it may be disproven. This playfulness can motivate students to view mathematics as a living discipline, not as columns of numbers on a worksheet. For many students, problems like 3N provide a first opportunity to think about the behavior of numbers. “For the most part, school math and science becomes the acquisition of facts that have been found by people who call themselves scientists.” (Goldenberg, 1993) Logo and experimental math provides another opportunity to provide children with authentic mathematical experiences.
Fractal Geometry and Chaos Theory
The contemporary fields of fractal geometry and chaos theory are the result of modern computation. Many learners find the visual nature of fractal geometry and the unpredictability of chaos fascinating. Logo’s turtle graphics and recursion make fractal explorations possible. The randomness, procedural nature and parallelism of MicroWorlds brings chaos theory within the reach of students.
Fractals are self-similar shapes with finite area and infinite perimeter. Fractals contain structures nested within one another with each smaller structure a miniature version of the larger form. Many natural forms can be represented as fractions, including ferns, mountains and coastlines.
Chaos theory suggests that systems governed by physical laws can undergo transitions to a highly irregular form of behavior. Although chaotic behavior appears random, it is governed by strict mathematical conditions. Chaos theory causes us to reexamine many of the ways in which we understand the world and predict natural phenomena. Two simple principles can be used to describe Chaos theory:
- From order (a predictable set of rules), chaos emerges.
- From a random set of rules, order emerges.
MicroWorlds may be used to explore both chaos and fractal geometry simultaneously. Figure 3shows two similar fractals called the Sierpinski Gasket. The fractal on the left is created by a complex recursive procedure. The fractal on the right is generated by a seemingly random algorithm discovered by Michael Barnsley of Georgia Institute of Technology. The Barnsley Fractal is created by placing three dots on the screen and then randomly choosing one of three points, going half way towards it and putting another dot. This process is repeated infinitely and a Sierpinski Gasket emerges. In fact, if you grab the turtle from the “chaos fractal” and move it somewhere else on the screen, it immediately finds its way back into the “triangle” and never leaves again. The multiple turtles and parallelism of MicroWorlds makes it possible to explore the two different ways of generating a similar fractal simultaneously. Experimental changes can always be made to the procedures and the results may be immediately observed.
One of the most attractive aspects of MicroWorlds is its ability to create animations. Students are excited by the ease with which they can create even complex animations. MicroWorlds animations require the same mathematical and reasoning skills as turtle graphics. The difference is that the turtle’s pen is up instead of down and the physics of motion comes into play. Multiple turtles and “flip-book” style animation enhance planning and sequencing skills. Even the youngest students use Cartesian coordinates and compass headings routinely when positioning turtles and drawing elaborate pictures.
Perhaps the best part of MicroWorlds animation is that the student-created animation and related mathematics are often employed in the service of interdisciplinary projects. Using animation to navigate a boat down the ancient Nile, simulate planetary orbits, design a video game or energize a book report provides a meaningful context for using and learning mathematics.
Functions and Variables
Logo’s procedural inputs and mathematical reporters give kids concrete practice with variables. Functions/reporters/operations are easy to create in MicroWorlds and can even be the input to another function. For example, the expression SHOW DOUBLE DOUBLE DOUBLE 5 or REPEAT DOUBLE 2 [fd DOUBLE DOUBLE 20 RT DOUBLE 45] are possible by writing a simple procedure, such as:
to double :number
output :number * 2
Many teachers are unaware of Logo’s ability to perform calculations (up through trigonometric functions) in the command center or in procedures. SHOW 3 * 17 typed in the command center will display 51 and REPEAT 8 [fd 50 rt 360 / 8] will properly draw an eight-sided regular polygon.
A favorite project I like to conduct with fifth and sixth graders creates a fraction calculator. First we decide to represent fractions as a (Logo) list containing a numerator and a denominator. Then we write procedures to report the numerator and denominator of a fraction. From there, the class can easily collaborate to write a procedure which adds two fractions. Some kids can even make the procedure add fractions with different denominators. From there, all of the standard fraction operations can be written as Logo procedures by groups of children. The next challenge the kids typically tackle is the subtraction of fractions.
One day, a fifth grader, Billy, made an interesting discovery while testing his subtraction “machine.” Billy typed, SHOW SUBTRACT [1 3] [2 3] (meaning 1/3 – 2/3), and -1 3 appeared in the command center. I noticed the negative fraction and mentioned that when I was in school we were taught that fractions had to be positive. Therefore, there is no such thing as a negative fraction.
Billy exclaimed, “Of course there is! The computer gave one to us!” This provoked a discussion about “garbage in – garbage out,” the importance of debugging and the need for conventions agreed upon by mathematicians and scientists. We even discussed the difference between symbols and numbers. Billy listened to this discussion impatiently and announced, “That’s ridiculous because I can give you an example of a negative fraction in real-life.”
Billy said, “I have a birthday cake divided into six slices and eight people arrive at my party. I’m short two sixths of a cake – negative 2/6!” He went on to say, “If the computer can give us a negative fraction and I can provide a real-life example of one, then there must be negative fractions.” The hazy memory of my math education diminished the confidence required to argue with this budding mathematician. Instead, I agreed to do some research.
I looked in mathematics dictionaries, but found more ambiguity than clarity. I also spent several weeks consulting with math teachers. Most of these people either dismissed the question of negative fractions as silly or complained that they lacked the time to adequately deal with Billy’s dilemma. After a bit more time, I ran into a university mathematician at a friend’s birthday party. Roger did not dismiss Billy’s question. Instead he asked for my email address. The next morning the following email message awaited me.
Date: Sun, 06 Nov 1994 09:52:44 -0400 (EDT)
It was fun to have a chat at Ihor’s party. This morning I got out my all time favorite source of information on things worthwhile, the Ninth Edition of the Encyclopedia Britannica. (With its articles by James Clerk Maxwell et al.) It is very clear. Fractions come about by dividing unity into parts, and are thus by definition positive.
Now what should a teacher tell Billy? In the past, you might hope that he forgot the matter. Today, Billy can post his discovery on the Internet and engage in serious conversation – perhaps even research with other mathematicians. Access to computers and software environments like MicroWorlds makes it possible for children to make discoveries that may be of interest to mathematicians and scientists. It is plausible that kids can contribute to the construction of knowledge deemed important by adults.
New Data Structures
MicroWorlds has two new data structures that contribute to mathematical learning. With the click of the mouse, sliders and text boxes can be dropped on the screen. As input devices, sliders are visual controls that adjust variables. Each slider has a name and a range of numbers assigned to it. Like a control on a mixing board the slider can be set to a number in that range. The slider’s value can then be sent to a turtle whose speed or orientation is linked to the value of the slider. The slider can also be used to set the values of variables used in a simulation.
Sliders may also be used as output devices. A procedure can change the value of a slider to indicate an experimental result. If a slider named, counter, is in a MicroWorlds project then the command, SETCOUNTER COUNTER + 1, can be used to display the results of incrementing the counter.
MicroWorlds text boxes also function as both input and output devices. A text box is like a little word processor drawn on the MicroWorlds page to hold text. Text boxes also have names that when evoked report their contents. If a user types the number 7 in a text box named FOO, then typing SHOW FOO * 3 will display 21 in the command center. FD FOO * 10 will move the turtle forward 70 steps. The command, SETFOO 123 will replace the contents of the text box, FOO, with 123. Therefore, text boxes may be used as experimental monitors or calculator displays. Constructing a garden-variety calculator with a text box and MicroWorlds buttons or turtles is deceptively simple, but provides one illustration of how text boxes could be used in a mathematical context.
A basic spreadsheet can be built in MicroWorlds with just one line of Logo code. If three text boxes are named, cell1, cell2 and total, then a button with the instruction, SETTOTAL CELL1 + CELL2, will put the sum of the first two cells in the third. Making the button run many times will cause the “spreadsheet” to perform automatic calculations. A bit more programming will allow you to check for calculation efforts, graph data or cause a turtle to change its behavior based on the result of a calculation. Building a model spreadsheet helps students understand how a commercial spreadsheet works, develop computation skills and add automatic calculation to their Logo toolbox.
Instructional Software Design
Children can use Logo as a design environment for teaching others mathematical concepts. Idit Harel’s award-winning research (Harel, 1991) and the subsequent research by her colleague, Yasmin Kafai (Kafai, 1995), demonstrated that when students were asked to design software (in LogoWriter or MicroWorlds) to teach other kids about “fractions” they gained a deeper understanding of fractions than children who were taught fractions and Logo in a traditional manner. These students also learn a great deal about design, Logo programming, communication, marketing and problem solving. Harel and Kafai have confirmed that children learn best by making connections and when actively engaged in constructing something meaningful. Their research provides additional evidence of Logo’s potential as an environment for the construction of mathematical knowledge.
Increased access to computers and imaginative teachers will open up an infinite world of possibilities for Logo learning. Software environments, such as MicroWorlds provide children with an intellectual laboratory and vehicle for self-expression. MicroWorlds inspires serendipitous connections to powerful mathematical ideas when drawing, creating animations, building mathematical tools or constructing simulations.
Excursions into the worlds of number theory, fractal geometry, chaos and probability rely on MicroWorlds’ ability to act as lab assistant and manager. Paul Goldenberg suggests that it is difficult to test out ideas unless one has a slave stupid enough not to help. (Goldenberg, 1993) The computer plays the role of lab assistant splendidly, yet the student still must do all of the thinking. MicroWorlds makes it possible to manage large bodies of data by running tedious experimental trials millions of times if necessary, collecting data and displaying it in numerical or graphical form. The procedural nature of MicroWorlds makes it possible to make small changes to an experiment without having to start from scratch.
MicroWorlds provides schools with a powerful software package flexible enough to grow with students. In days of tight school budgets it is practical to embrace a software environment with which students can address the demands of numerous subject areas. The sophistication with which students confront intellectual challenges improves along with their fluency in MicroWorlds.
Seymour Papert was horrified at how the simple example of commanding a turtle to draw a house, depicted in Mindstorms, became “official Logo curriculum” in classrooms around the world. However, providing students with a rich “mathland” in which to construct mathematical knowledge has always been one of the goals in the design and implementation of Logo. This paper attempts to provide simple examples of how MicroWorlds may be used to explore a number of mathematical concepts in a constructionist fashion. Those interested in additional ideas should read (Abelson & diSessa, 1981), (Cuoco, 1990), (Clayson, 1988), (Goldenberg & Feurzeig ,1987), (Lewis, 1990) and (Resnick, 1995). More detailed examples and teacher materials related to this paper are available on my World-Wide-Web site at: http://moon.pepperdine.edu/~gstager/home.html.
- Abelson, H., & diSessa, A. (1981). Turtle Geometry. Cambridge, MA: MIT Press.
- Clayson, J. (1988). Visual Modeling with Logo. Cambridge, MA: MIT Press.
- Clements, D.H. (1991). Logo in Mathematics Education: Effects and Efficacy. Stevens Institute of Technology Conference Proceedings – Computer Integration in Pre-College Mathematics Education: Current Status and Future Possibilities, April 24, 1991. Hoboken, NJ: Stevens Institute of Technology/CIESE.
- Cuoco, A. (1990). Investigations in Algebra. Cambridge, MA: MIT Press.
- Goldenberg, E.P. (1993). Linguistics, Science, and Mathematics for Pre-college Students: A Computational Modeling Approach.Revised from Proceedings, NECC ‘89 National Educational Computing Conference, Boston, MA. June 20-22, pp. 87 -93. Newton, MA: Educational Development Center.
- Goldenberg, E.P. (1989). “Seeing Beauty in Mathematics: Using Fractal Geometry to Build a Spirit of Mathematical Inquiry.” Journal of Mathematical Behavior, Volume 8. pages 169-204.
- Goldenberg, E.P., & Feurzeig, W. (1987). Exploring Language with Logo Cambridge, MA: MIT Press.
- Harel, I. (1991). Children Designers: Interdisciplinary Constructions for Learning and Knowing Mathematics in a Computer-Rich School. Norwood, NJ: Ablex Publishing Corporation.
- Harel, I. & Papert, S. (editors) (1991). Constructionism. Norwood, NJ: Ablex Publishing Corporation.
- Harvey, B. (1982). Why Logo? Byte, Vol. 7, No.8, August 1982, 163-193.
- Harvey, B. (1985-87). Computer Science Logo Style, Volumes 1-3. Cambridge, MA: MIT Press.
- Kafai, Y. (1995) Minds in Play – Computer Design as a Context for Children’s Learning. Hillsdale, NJ: Lawrence Erlbaum and Associates.
- Lewis, P. (1990). Approaching Precalculus Mathematics Discretely. Cambridge, MA: MIT Press.
- National Council of Teachers of Mathematics. (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: NCTM.
- Papert, S. (1980). Mindstorms: Children, Computers, and Powerful Ideas. (Second Edition, 1993) New York: Basic Books.
- Peterson, I. (1988). The Mathematical Tourist – Snapshots of Modern Mathematics. NY: W.H. Freeman and Company.
- Poundstone, W. (1985). The Recursive Universe… Chicago: Contemporary Books.
- Resnick, M. (1995). Turtles, Termites and Traffic Jams – Explorations in Massively Powerful MicroWorlds. Cambridge, MA: MIT Press.
- Silverman, B. (1987). The Phantom Fishtank: An Ecology of Mind. Montreal: Logo Computer Systems, Inc. (book with software for Apple II or MS-DOS)
- Stager, G. (October, 1988). “A Microful of Monkeys.” The Logo Exchange .
- Stager, G. (1990). “Developing Scientific Thought in a Logo-based Environment.” Proceedings of the World Conference on Computers in Education. Sydney, Australia: IFIP.
- Stager, G. (1991). “Becoming a Scientist in a Logo-based Environment.” Proceedings of the Fifth International Logo Conference. San José, Costa Rica: Fundacion Omar Dengo.
- Suydam, M. N. (1990). Curriculum and Evaluation Standards for Mathematics Education. (ERIC/SMEAC Mathematics Education Digest No. 1, 1990) Columbus, OH: ERIC Clearinghouse for Science, Mathematics and Environmental Education. (ERIC Document Reproduction Service No. ED319630 90).
Recently, 5th and 6th grade girls in the school where I work came up to me in the hallway and volunteered, “I want to be an engineer.” While this is heartwarming, especially given the political rhetoric behind the importance of S.T.E.M. and the challenges of gender underrepresentation in the sciences, I would like to draw a totally different lesson for educators.
Anyone who knows anything about my teaching knows that I would never spend any time on “career education” with kids I teach. I create the context, conditions and projects during which children are engaged in engineering. When building and programming robots, the kids are engineers – not contemplating a career for a dozen years later. The kids are smart enough to connect the dots and identify interest in a career related to their talent, interests or present mood, even if that interest is short-lived.
Time is the rarest of currencies in school. Therefore, time should be focused on authentic experiences, not meta experiences.
Affective qualities like collaboration, passion, curiosity, perseverance and teamwork are certainly desirable for teachers and students. However, these traits may be developed while engaged in real pursuits, even within the existing curriculum. All that is required is a meaningful project. This is why I question the use of “meta” activities like ropes courses, ice-breakers or trust-building exercises as a form of professional development or separate curriculum. Professional development resources are also scarce. Therefore, PD should be focused on learning to do or know. The affective skills should be byproducts of meaningful experiences intended to improve teaching.
Adults become better teachers when they enjoy firsthand learning adventures like they desire for their students. You can’t teach 21st Century Learners if you haven’t learned this century. That is why I created Constructing Modern Knowledge.
Some educators have recognized that schools are too impersonal and that teachers should get to know their students. I could not agree more. However, the prescription is often to create advisory courses or extend homeroom to deal with pastoral care issues. The result is one teacher who gets to “know” students and time is borrowed from other courses where teachers should get to know their students formally and informally in the process of constructing knowledge together.
Sit next to a student engaged in a science experiment and talk with them. Lead vigorous discussions or chat with a kid about the book they’re reading. You don’t need a class period set aside for asking “How was your weekend?” or for building trust. Join a group of students for lunch. Say, “hi,” while passing in the hallway. Dennis Littky tells the story of making Time Magazine because as a school principal he greeted students when they entered school in the morning. Have we lowered our expectations so much that knowing students is some sort of awesome systemic accomplishment? Humane, thoughtful, even casual interaction between teachers and students does not require an NSF grant or special class.
When educators create a productive context for learning, achievement improves, students feel more connected and behavioral problems evaporate. For three years, Seymour Papert, colleagues and I created a learner-centered, project-based alternative learning environment for at-risk learners inside of a troubled prison for teens. When the needs, interests, passions, talents and curiosity of our students were put ahead of a random list of stuff, they were not only capable of demonstrating remarkable competence, but there was not a single discipline incident in ever that required a kid to leave the classroom.
Students can develop self-esteem by engaging in satisfying work. Classroom management is not required when teachers don’t view themselves as managers. Kids can learn “digital citizenship” while learning to program, sharing code and interacting online. They can feel safe at school by forming relationships with each of their teachers. Study skills are best gained within a context of meaningful inquiry.
Learning is the best way to learn. Accept no substitutes!