Tools for Sense-making in Mathematics

Strategies for Solving Math Word Problems

Understanding Math Word Problems with San Francisco Math Teachers

Understanding math word problems can be difficult. This set of tools is the product of a SERP collaboration with middle school mathematics teachers in the San Francisco Unified School District. Over the course of several years, Phil Daro (SERP Bay Area Math Director and co-author of the Common Core State Standards in Mathematics), Professor Alan Schoenfeld (U.C. Berkeley), and a team of teachers and graduate students met monthly to explore together why students were struggling with math in the middle grades, and what they could do to support student learning. We began with data that indicated students did not struggle with particular math topics, but rather with particular problem types: word problems.

Reading Comprehension for Math Word Problems

Teachers conducted “think-alouds” with students, and found that many students began to solve problems without understanding the situation described, or the question being asked. They looked for signals that would indicate whether to subtract, multiply, or perform some other operation. The question our group pursued was this: how can we shift the culture of the mathematics classroom away from answer-getting and toward sense-making? We are not suggesting that getting answers is a bad goal, but when it is the only goal, genuine learning is undermined.

We set out to identify relatively small shifts in practice that could create relatively big shifts in behavior and expanded to include fully designed diagnostic lessons. We hope others will find these strategies of value.
Let us know what you think!
Phil Daro
The Case Against "Answer-Getting"
Related Products:
Two-day Problem Solving Sessions for Grades 6 & 7
Poster Problems includes 12 two-day lessons taught in six instructional phases to support diagnostic teaching in mathematics. Lessons are centered around engaging problem contexts that highlight critical mathematics concepts targeted in 6th and 7th Grades.
Observation Checklist and Tool
The 5x8 Card is an observation tool designed to focus school principals on “Student Vital Actions” associated with the Common Core’s Standards for Mathematical Practice.
Problem Sets of Worked Examples
AlgebraByExample is a set of Algebra 1 assignments that incorporate worked examples and prompt students to analyze and explain.
SERP has been supported to conduct this work by the S.D. Bechtel, Jr. Foundation.
Creative Commons License
Share by: