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

CONTENTS OF CURRICULUM UNIT 17.05.03

  1. Unit Guide
  1. Introduction and Rationale
  2. Polya’s Method
  3. A Brief History of Singapore Math
  4. Model Method
  5. Whole Group Discussion
  6. Taxonomy of Word Problems
  7. Activities
  8. Sample Collection of Problems 
  9. Bibliography
  10. Additional Resources for Teachers and Students
  11. Appendix A: Implementing District and National Standards
  12. Common Core Standards
  13. Endnotes

Understanding Problems: Using Bar Models with Common Core Taxonomies

Valerie J. Schwarz

Published September 2017

Tools for this Unit:

Additional Resources for Teachers and Students

A., Van De Walle John. Elementary school mathematics: teaching developmentally. London: Longman, 1994.  An excellent resource for teaching all aspects of elementary math in a concrete way.

Bluman, Allan G. Math word problems demystified. New York: McGraw-Hill, 2011. This book is full of word problems at all levels as well as word problem strategies. The problems would need to be carefully selected for the appropriate grade level.

Chew, Terry. Singapore math challenge: grade 3. Columbus, OH: Frank Schaffer Publications, 2013. A wonderful challenging book to develop math thinking for students in grades 3-5 in the U.S.

Forsten, Char. Step-by-step model drawing: solving word problems the Singapore way. Peterborough, NH: Crystal Springs Books, 2010. Another good source for word problems that are made for the model method. 

Primary mathematics. Singapur: Marshall Cavendish Education, 2003. A source of word problems for bar modeling appropriate for high third graders or fourth grade students in the U.S.

Primary mathematics 2A. Singapore: Marshall Cavendish Education, 2006. A good source of word problems that lend themselves to bar models. The level 2 books are appropriate for grade 3 in the U.S.

Primary mathematics 2B. Singapore: Marshall Cavendish Education, 2006.

Primary mathematics 3B. Singapore: Marshall Cavendish Education, 2007. This is also a resource for high third graders or four grade students in the U.S.

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