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Newsletter: Math Forum Internet News No. 2.35 (Sept. 1)
Posted:
Aug 30, 1997 12:31 PM


1 September 1997 Vol.2, No.35
THE MATH FORUM INTERNET NEWS
Math & Children's Lit  Real Analysis  Wachsmuth  What is Algebra?
MATH AND CHILDREN'S LITERATURE  CAROL HURST http://www.carolhurst.com/subjects/math/math.html
Reviews of books for kids, ideas for ways to use them in the classroom, and collections of math books and activities.
Articles and sections from Carol Hurst's professional books for teachers and librarians have been reformatted to create an interactive collection of information. The activities and discussions are most appropriate for those working with students in grades K4. Included are:
Articles  Math Out Loud: Math and the Oral Traditions  Time and Time Travel Fantasies  Math Month in the Library  Books in the Math Program
Sample Chapters  Math and My Place in Space  Math and Mud Flat Olympics  Patterns and Picture Books  Data Gathering and Picture Books  Computation and Picture Books
Picturing Math  a book by Carol Hurst and Rebecca Otis.  Using Picture Books in the Math Curriculum, for PreK through 2nd Grade.
Other curriculum areas and professional topics can be found on Carol Hurst's Children's Literature site at:
http://www.carolhurst.com
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INTERACTIVE REAL ANALYSIS  BERT WACHSMUTH
http://www.shu.edu/~wachsmut/reals/
An online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. Chapters include:
 Sets and Relations  Infinity and Induction  Sequences of Numbers  Series of Numbers  Topology  Continuity and Differentiation  The Integral  Sequences of Functions  Metric Spaces
"Historical tidbits" are also provided for the following mathematicians:
 Abel  Archimedes  Bernoulli  Bolzano  Cantor  Cauchy  De Morgan  Euclid  Euler  Peano  Weierstrass  Zeno of Elea
A glossary rounds out the presentation.
Bert G. Wachsmuth is Assistant Professor of Mathematics and Computer Science at Seton Hall University, South Orange, NJ.
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WHAT IS ALGEBRA? AN AMTE DISCUSSION
http://forum.swarthmore.edu/epigone/amte/honraxkhu
The TI92 now has an algebraic manipulator; what implications does this have for the algebra curriculum?
After a talk given at the Association of Mathematics Teacher Educators' Conference Within A Conference during the April NCTM meetings in Minneapolis, Blake Peterson initiated this discussion on the AMTE list. He began the conversation with some initial thoughts and comments:
 Algebra is to Calculus as the alphabet is to reading.  Why do we still teach factoring  what is the underlying idea of factoring polynomials?  Now that the TI92 can symbolically solve equations, do we still continue to have students solve pages and pages of them? What is the underlying idea of solving equations?
A small part of the discussion follows, and we think you'll enjoy the rest:
 Algebra is a powerful symbolic way of modeling situations in the world. It has value and beauty in its own right.  Cathy Wick
 Is it possible to engage in algebraic thinking/reasoning without using algebraic symbols?  Libby Krussel
 Just recently I opened a webpage that integrates functions. One feature allowed me to select a function at random and with the click of a button its integral would appear. (It had been over 30 years since I had seen many of these functions.) As I experienced this "magic" I was suddenly struck with the question, "How do I know these are correct?"  J. Wendell Wyatt
 ...about the use of the TI 92... students who know the material find the technology beneficial, but students who do not know the material find the technology to be an additional impediment which acts as a barrier to learning.  Steve Wilson
 We can't teach algebra in a vacuum. We need to give students meaningful situations early where algebra can be used to model and clarify those situations.  Barbara Muenster
For subscription information and a link to the Math Forum's AMTE discussion list archive, see:
http://forum.swarthmore.edu/discussions/about/amte.html
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The Math Forum ** 1 September 1997
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