Infinite series are an important part of mathematics. The format of the videotape is that Don presents a problem, asks the viewer to stop the tape to try to solve the problem, then Don and his students do it. This tape was not made to just look at, but a working model. Before watching the tape have graph paper available; squared paper is best for younger people. Jane, age 6, colors in squares to show viewers how to add which goes to 1. Don shows how Kirsten, age 7, added which she said goes to . Don talks with Jonathan, age 7, who shows how he adds (on paper and with a program on a calculator), which goes to . He then generalizes this series which goes to . Don talks briefly at the end of the tape, about the following points: 1. We should work on important mathematical ideas 2. Start early 3. Don't worry about making mistakes 4. Try things different ways 5. Look for patterns 6. Have fun learning new things
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"..Especially appealing is your non-threatening approach where analytical concepts, such as geometrical series, are made visually understandable to young children in terms of what they can grasp..Congratulations on an excellent achievement. I can strongly recommend and endorse this educational tool to all ages. Even my university level students could benefit from an exposure to your concepts". -- Richard E. Klein, PH.D., Associate Professor of Mechanical Engineering, and father of two of Don's students.
"..seldom do I see students so excited about their discoveries and sharing their methods..What's more exciting, they want to get a hold of some little kids and try it out on theme..". -- Bruce Hamilton, HS math teacher, CO. One of Bruce's students has her discovery in Don's worksheet book
"The Cohen videotape on infinite series is an excellent inservice for teachers. The tape demonstrates how to engage children's minds and shows alternate ways to study mathematics other than workbook fill-in-the-blanks". -- Marjorie Klein, kindergarten teacher and mother of two of Don's students.
"What to conventional wisdom appears either impossible or unlikely, this tape and my class's experiences with it, demonstrate that the math concepts presented here are not only possible with young children but fun, engaging and eminently practical. In addition, the tape integrates a wide spectrum of math concepts with critical thinking to solve really important math problems. Don uses concrete examples to help children find patterns in this process". -- Douglas Elrick, teacher of a 4th-5th grade gifted class
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