Proven Programs in Education is a series of books that draws on the best of Better: Evidence-Based Education, a unique magazine that provides leadership teams in education with the information they need. The series includes four titles: Proven Programs in Literacy; Proven Programs in STEM; Proven Programs in Social Emotional Development; Proven Programs in Classroom Management and Assessment

The Proven Programs in Education series is about research-proven strategies and programs that can be applied in practice. The authors distill their work and research into succinct, easily-digestible articles highlighting the practical implications that teachers, principals, and administrators can use. Each article includes links to further reading and resources that allow readers to delve more deeply into particular issues.

Supporting Sensemaking: Thinking Mathematically

Supporting Sensemaking: Thinking Mathematically

Supporting sensemaking: Thinking mathematically

Students often have unique ways of solving problems—ways that can surprise adults. Megan Franke explains how teachers can use this knowledge to support math development.

Every day, students bring intuitive knowledge and mathematical insight to school. By building on this informal knowledge, teachers can ensure that students learn with understanding. Consider how one second grader solved the following problem (see Figure 7.1).

Figure 7.1

Harry solved the division problem 45 ÷ 9 = ____ by decomposing 45 into 4 tens and a five (10 + 10 + 10 + 10 + 5). He then changed the 10s to 9 + 1. He took out the 4 nines for 4 days of dog biscuits. He had 4 ones left and then along ...

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