We Reason & We Prove for All Mathematics : Building Students' Critical Thinki...

Description: We Reason & We Prove for All Mathematics : Building Students' Critical Thinking, Grades 6-12, Paperback by Arbaugh, Fran; Smith, Margaret; Boyle, Justin; Stylianides, Gabriel J.; Steele, Michael, ISBN 1506378196, ISBN-13 9781506378190, Like New Used, Free shipping in the US This guide helps math teachers in grades six through 12 engage in a practice of reasoning-and-proving and support the development of this practice in their students to enhance their understanding of the math they are learning, help them retain that understanding over time, and become deeper mathematical thinkers, better reasoners, and more capable of making sound mathematical arguments. It challenges common conceptions about what proof is, how it can be written, and when and for whom it is appropriate, providing guidance about how to use reasoning-and-proving in the classroom. It describes how to reflect on current conceptions of proof and the role of proof in middle and high school math; the conceptions of reasoning-and-proving, which consist of identifying patterns, making conjectures, and providing arguments that may or may not qualify as proofs; math tasks that can be used with students to convince them that the use of numerous examples is not enough to prove a math conjecture; criteria that can be used to judge when a math argument counts as proof; teaching practices that support student engagement and reasoning-and-proving activities; strategies for modifying tasks from curriculum materials so they support students in engaging in reasoning-and-proving; and how context supports students to reason-and-prove. Annotation ©2018 Ringgold, Inc., Portland, OR ()

Price: 32.68 USD

Location: Jessup, Maryland

End Time: 2024-11-13T01:04:57.000Z

Shipping Cost: 0 USD