From Arithmetic to Algebra: Variables, Word Problems, Fractions and the Rules

CONTENTS OF CURRICULUM UNIT 17.05.05

  1. Unit Guide
  1. Content Objective
  2. Background
  3. Teaching Strategies
  4. Classroom Activities
  5. Resources
  6. Appendix
  7. Bibliography
  8. Endnotes

Mathematics as a Language of Symbols

Irina Alekseeva

Published September 2017

Tools for this Unit:

Guide Entry to 17.05.05

While teaching my Pre-Calculus and AP Calculus students, I have realized that using mathematical symbols to create numeric and algebraic expressions, and to solve text problems is usually a big problem for them. They struggle to translate a verbal problem statement into symbolic mathematical expressions and equations. However, to be successful in upper level Math, Physics and Chemistry students should be able to create a mathematical model based on the given data. This is an extremely challenging task for them. This curricular unit will emphasize an idea that Mathematics is a language. It will help teachers build students` competence in writing numeric and algebraic expressions while “translating” real-life problems into the mathematical language of symbols.

(Developed for Algebra and Trigonometry, grades 9-10; recommended for Pre-Algebra, Algebra I, Algebra II, Pre-Calculus, and Calculus, grades 7-12)

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