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Counting Dots and Measuring Area: Rich Problems from Japan

Blake Peterson 

November 2006, Volume 12, Issue 4, Page 214

Abstract:
A discussion of mathematics in terms of how Japanese students learn. Two rich, open-ended problems are presented; one involving patterns of dots and geometric and algebraic representations, and the other measuring the area of triangles and graphing piecewise functions. Includes sample solutions for the dot pattern activity and an activity sheet for the area and piecewise function problem.

Keywords:
Article
Curriculum Developer
Conceptual Development
Grades 6-8
Teacher
Lesson Plans
Problems
Student Work