We Reason & We Prove for ALL Mathematics (eBook)

Building Students' Critical Thinking, Grades 6-12

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

eBook Download: EPUB

2018
272 Seiten
Sage Publications (Verlag)
978-1-5063-7818-3 (ISBN)

Infos

Sharpen concrete teaching strategies that empower students to reason-and-prove 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? We Reason & We Prove for ALL Mathematics helps mathematics teachers in grades 6-12 engage in the critical practice of reasoning-and-proving and support the development of reasoning-and-proving in their students. The phrase "e;reasoning-and-proving"e; 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 "e;formal proof"e; traditionally relegated only to geometry, this book transcends all mathematical content areas with a variety of activities for teachers to learn more about reasoning-and-proving and about how to support students' capacities to engage in this mathematical thinking through: Solving and discussing high-level mathematical tasks Analyzing narrative cases that make the relationship between teaching and learning salient Examining and interpreting student work that features a range of solution strategies, representations, and misconceptions Modifying tasks from curriculum materials so that they better support students to reason-and-prove Evaluating learning environments and making connections between key ideas about reasoning-and-proving and teaching strategies We Reason & We Prove for ALL Mathematics is designed as a learning tool for practicing and pre-service mathematics teachers and can be used individually or in a group. No other book tackles reasoning-and-proving with such breadth, depth, and practical applicability. Classroom examples, case studies, and sample problems help to sharpen concrete teaching strategies that empower students to reason-and-prove!

Produkt-Details

• Erscheint lt. Verlag: 8.8.2018
• Sprache: englisch
• Themenwelt: Schulbuch / Wörterbuch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Sozialwissenschaften ► Pädagogik ► Schulpädagogik / Sekundarstufe I+II
• ISBN-10: 1-5063-7818-8 / 1506378188
• ISBN-13: 978-1-5063-7818-3 / 9781506378183