Standards for Mathematical Practice

Number Lines

Yukari Okamoto describes the misconceptions that students have about fractions and how to help them understand fractions’ place in the number system. She demonstrates instructional approaches with number lines and number strips to expand beyond the part-whole approach to teaching fractions.


FEATURING:  Yukari Okamoto, University of California, Santa Barbara

SOURCE: Doing What Works

Helping Students Debrief

Mark Driscoll provides practical advice on building students' habits of reasoning by structuring discussions using particular questions and written tools.


FEATURING: Mark J. Driscoll, Education Development Center

SOURCE: Doing What Works

Developing Proportional Reasoning

This multimedia overview offers an introduction to students’ development of proportional thinking and its relationship to cross-multiplication. It describes recommended instructional strategies for solving problems related to ratio, rate, and proportion, including buildup and unit ratio strategies, and illustrates examples of real-world context for such problems. This recommended practice contains three tools to support the teaching and learning of ratio, rate, and proportion.


SOURCE:  Doing What Works