Calculus By And for Young People: Worksheets CD-ROM – Jan 15 2006
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About the Author
Don Cohen was born in Jersey City, N.J. He has a B.A. and M.A. from SUNY-Albany, NY and M.S.from RPI,in Troy, NY. He has taught all ages of students for 44 years, the last 22 of these as co-founder and teacher of The Math Program. After 7 years of teaching in a junior high school, he realized there must be a more enjoyable and effective way to teach math. He searched for alternatives. This led to designing new curriculum for N.Y. State; learning about mathematics and creativity from Bob Davis with The Madison Project; learning what real teaching is about by observing great teachers such as Sue Monell; teaching teachers; working on Plato (a computer-based education system at the U of I); all before Don and his partner invented The Math Program. These are the good old days! Don has three fine sons and six terrific grandchildren. He is a watercolor artist (see cover). --This text refers to an out of print or unavailable edition of this title.
Most Helpful Customer Reviews on Amazon.com (beta)
Your children CAN be ready for calculus--and Don Cohen's book, written for young people by young people, will prepare them. "Calculus By and for Young People" will empower your children to construct the conceptual associations necessary to understand calculus. It is as simple as that!
A specialist in Instructional Design and Psychology and a veteran, myself, of calculus training at Iowa State University of Science and Technology, I have used Don's book with learners age 8 through 72 (you are never too old) for three years now. Don's stuff is EXCITING! I give his books as Christmas presents to my favorite nieces and nephews. I take copies of the book on trips, and PLAY at math with the children at the homes I visit.
With Don as a guide and mentor, I love to play with mathematics. I have seen my students jump up in the air with glee when they solve one of Don't challenges--or giggle as they work at an assignment. I have a video tape of my students at work with Cohen's materials. Watching it always amazes me. This is education at its best.
Don Cohen and you. What a team, working together to help your children reach their potential in tomorrow's world.
P.S. Don't think this book is kid-stuff. Your high school student, or college student will benefit from Don's training as much as your younger child. Don't be surprised when your son or daughter confides: "I've been working on this calculus stuff all year, and getting A's, but I never really understood what it all meant, or what I was doing, until I worked through this book. Gee, thanks for helping me out."
Some of the more powerful things that children will learn are: (1) indexing of numbers; (2) fractions; (3) programming in BASIC; (4) iteration; (5) exponents, and e; (6) ratios (such as t he golden ratio, etc.). I had the hardest time with (7) continuing fractions, which are rarely taught these days and which, to me, are not intuitive.
Perhaps the word "intuitive" sums up Cohen's approach: his skills at math are sufficient enough that he can see connections and help youngsters intuit connections, which are then their "discoveries." He does not mind youngsters making mistakes, and he believes in constructionist math.
I used Cohen's materials in a summer program with first graders, to solve Zero's Paradox, which, in calculus terms is: What is the limit of the sum of (1/2)^nth power? It took five weeks of daily discussion to help them learn about fractions, adding fractions, fractions less than one, graphing the sum, and understanding the idea of when "close enough" is a "good enough" limit. We had a great time and the youngsters enjoyed the project.
As a math tutor my proficiency and my mathematical creativity have grown, it seems without bound, for Don's book makes new ideas flow out of my head!
I conducted my first workshops this summer. One mom couldn't believe that the 7-10 year olds worked on infinite series and sums (CH 1&2), Fibonacci numbers (CH 7), and basic integrals (CH 13). Their level of understanding amazed even me! When asked if they wanted to have individual sessions after the workshop several children jumped up and down saying, "Yeah, yeah, yeah!!!"
Parents get this book for your children AND yourselves. If you love math, get this book. If you hate, are afraid of or intimidated by math, DEFINITELY GET THIS BOOK! Go at your own pace and you will overcome your fears. Share what you learn with everyone you know. I believe only with this book will you begin to increase your confidence in all things mathematical and be enriched for a lifetime.
The two chapters could be done by a very motivated, intelligent 7 year old. Of those motivated, intelligent 7 year olds, few would be able to see the point that Don Cohen is trying to make. Few students this age know multiplication and fractions, though! More ideally, the first two chapters could reasonably be done by an intelligent, above-average 5th grader.
Chapter 3 and above, though? Some of the material is suitable for middle school students, some of it is just too abstract.
This book is designed for students who are seriously intrigued by math. I've worked with very advanced students, and this is still beyond most of them.
I also got this booked used for $19. I can't believe it's $150+. Trust me - get a used version! I thought this would be a mind-blowing math breakthrough. It's a more interesting read for math nerds like me who have already been through calculus.