Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning in Grades 6-8 (Developing Essential Understanding)

by Joanne Lobato and Amy Ellis

Rose Mary Zbiek

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Book cover for Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning in Grades 6-8

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How do you refute the erroneous claim that all ratios are fractions? This book goes beyond a simple introduction to ratios, proportions and proportional reasoning. It will help broaden and deepen your mathematical understanding of one of the most challenging topics for students - and teachers - to grasp. It will help you engage your students, anticipate their perplexities, help them avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing your students' understanding of the topic.

Essential Understanding series topics include:
  • Number and Numeration for Grades Pre-K-2
  • Addition and Subtraction for Grades Pre-K-2
  • Geometry for Grades Pre-K-2
  • Reasoning and Proof for Grades Pre-K-8
  • Multiplication and Division for Grades 3-5
  • Rational Numbers for Grades 3-5
  • Algebraic Ideas and Readiness for Grades 3-5
  • Geometric Shapes and Solids for Grades 3-5
  • Ratio, Proportion and Proportionality for Grades 6-8
  • Expressions and Equations for Grades 6-8
  • Measurement for Grades 6-8
  • Data Analysis and Statistics for Grades 6-8
  • Function for Grades 9-12
  • Geometric Relationships for Grades 9-12
  • Reasoning and Proof for Grades 9-12
  • Statistics for Grades 9-12
  • ISBN13 9780873536226
  • Publish Date 18 April 2011
  • Publish Status Transferred
  • Publish Country US
  • Imprint National Council of Teachers of Mathematics,U.S.
  • Format Paperback
  • Pages 88
  • Language English