We Reason & We Prove for ALL Mathematics

We Reason & We Prove for ALL Mathematics

Building Students’ Critical Thinking, Grades 6-12

Fran Arbaugh, Margaret (Peg) Smith, Justin Boyle, Gabriel J. Stylianides, Michael Steele


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Sharpen concrete teaching strategies that empower students to reason-and-prove

What does reasoning-and-proving instruction look like and how can teachers support students’ capacity to reason-and-prove? Designed as a learning tool for mathematics teachers in grades 6-12, this book transcends all mathematical content areas with a variety of activities for teachers that include

  •  Solving and discussing high-level mathematical tasks
  • Analyzing narrative cases that make the relationship between teaching and learning salient
  • Examining and interpreting student work
  • Modifying curriculum materials and evaluating learning environments to better support students to reason-and-prove

No other book tackles reasoning-and-proving with such breath, depth, and practical applicability.