Investigations in Algebra: An Approach to Using Logo

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Overview

Investigations in Algebra departs from a preoccupation with calculus as the ultimate goal of and the universal introduction to advanced mathematics by using Logo to explore combinatorics, number theory, the study of discrete functions, and other topics that are not on the traditional path to calculus.This approach encourages students to participate actively in exciting mathematics, developing in them a facility for abstraction and an appreciation for the power of mathematical methods. Most of the projects in the first two parts of the book have been worked through by students at Woburn High School, often without assistance from a teacher.In three parts,Investigations in Algebra emphasizes the treatment of functions as concrete objects modeled as Logo procedures, applies the techniques of induction and recursion to combinatorial problems, and takes up topics in number theory (including unique factorization congruence, and multiplicative functions). Integral to the presentation are numerous carefully constructed problems routine exercises, long term projects, and open ended experiments - developed in twenty years of classroom use.Albert Cuoco teaches mathematics at Woburn High School, in Woburn, Massachusetts. Investigations in Algebra is included in the series Exploring with Logo, edited by E. Paul Goldenberg.

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Editorial Reviews

Booknews
How fortunate are the students at Woburn High School (in Woburn, Massachusetts), where this material was developed, and where its author teaches. It invites students to "tinker" with the stuff of mathematics (functions in Part I, combinatorics in Part II, number theory in Part III)--to formulate and test conjectures, to sniff out pretty patterns in unlikely places, to explore. Presumes little beyond some familiarity with Logo. Crackles with excitement; the stuff of inspired teaching and joyous learning. (NW) Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780262530712
  • Publisher: MIT Press
  • Publication date: 10/26/1990
  • Series: Exploring with LOGO
  • Pages: 628
  • Product dimensions: 8.10 (w) x 8.80 (h) x 1.40 (d)

Meet the Author

Randolph Blake is Centennial Professor of Psychology,a Fellow of the Kennedy Center for Integrative Development, and a member of the Venderbilt Vision Center, at Vanderbilt University.

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