We Reason & We Prove For All Mathematics Av Fran Arbaugh, Margaret (Peg) S. Smith, Justin D. Boyle, Gabriel J. Stylianides, Michael D. Steele

<p><strong>Sharpen concrete teaching strategies that </strong><strong>empower students to reason-and-prove</strong><br/><br/> How do teachers and students benefit from engaging in reasoning-and-proving? What strategies can teachers use to support students’ capacity to reason-and-prove? What does reasoning-and-proving instruction look like? </p><p><em>We Reason & We Prove</em> <em>for ALL Mathematics</em> helps mathematics teachers in grades 6-12 engage in the critical practice of reasoning-and-proving <em>and</em> support the development of reasoning-and-proving in their students. The phrase “reasoning-and-proving” describes the processes of identifying patterns, making conjectures, and providing arguments that may or may not qualify as proofs – processes that reflect the work of mathematicians. Going beyond the idea of “formal proof” traditionally relegated only to geometry, this book transcends all mathematical content are