{"product_id":"developing-mathematical-reasoning-the-strategies-models-and-lessons-to-teach-the-big-ideas-in-grades-6-8","title":"Developing Mathematical Reasoning: The Strategies, Models, and Lessons to Teach the Big Ideas in Grades 6-8","description":"\u003cp\u003e\u003cstrong style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003eMath is not rote-memorizable. Math is not random-guessable. Math is figure-out-able.\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\u003cspan style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003eAuthor Pamela Weber Harris argues that teaching real math―math that is free of distortions―will reach more students more effectively and result in deeper understanding and longer retention. This book is about teaching undistorted math using the kinds of mental reasoning that mathematicians do.\u003c\/span\u003e\u003c\/p\u003e\u003cp\u003e\u003cspan style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003eMemorization tricks and algorithms meant to make math \"easier\" are full of traps that sacrifice long-term student growth for short-lived gains. Students and teachers alike have been led to believe that they’ve learned more and more math as they move through the content, but in reality students are not necessarily progressing in their ability to reason mathematically.\u003c\/span\u003e\u003c\/p\u003e\u003cp\u003e\u003cspan style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003eUsing tricks may make facts easier to memorize in isolation, but that very disconnect distorts the reality of math. The mountain of trivia piles up until students hit a breaking point. Humanity′s most powerful system of understanding, organizing, and making an impact on the world becomes a soul-draining exercise in confusion, chaos, and lost opportunities.\u003c\/span\u003e\u003c\/p\u003e\u003cp\u003e\u003cspan style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003eIn her landmark book \u003c\/span\u003e\u003cem style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003eDeveloping Mathematical Reasoning: Avoiding the Trap of Algorithms\u003c\/em\u003e\u003cspan style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003e, Pam emphasized the importance of teaching students increasingly sophisticated mathematical reasoning and understanding underlying concepts rather than relying on set rules for solving problems. This grades 6–8 companion volume equips you to confidently tackle traditionally difficult topics like integer operations, ratios, and proportional reasoning. Key features include:\u003c\/span\u003e\u003c\/p\u003e\u003col\u003e\n\u003cli data-list=\"bullet\"\u003e\n\u003cspan class=\"ql-ui\" contenteditable=\"false\"\u003e\u003c\/span\u003e\u003cstrong style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003eReasoning-based strategies: \u003c\/strong\u003e\u003cspan style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003eReplace traditional algorithms with approaches that build multiplicative and proportional reasoning\u003c\/span\u003e\n\u003c\/li\u003e\n\u003cli data-list=\"bullet\"\u003e\n\u003cspan class=\"ql-ui\" contenteditable=\"false\"\u003e\u003c\/span\u003e\u003cstrong style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003eProblem Strings: \u003c\/strong\u003e\u003cspan style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003eStep-by-step guidance on using sequenced problems to spark insight and make thinking visible\u003c\/span\u003e\n\u003c\/li\u003e\n\u003cli data-list=\"bullet\"\u003e\n\u003cspan class=\"ql-ui\" contenteditable=\"false\"\u003e\u003c\/span\u003e\u003cstrong style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003eVisual models: \u003c\/strong\u003e\u003cspan style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003ePractical tools and graphics to make abstract mathematical concepts concrete\u003c\/span\u003e\n\u003c\/li\u003e\n\u003c\/ol\u003e\u003cp\u003e\u003cspan style=\"background-color: rgb(255, 255, 255); color: rgb(15, 17, 17);\"\u003eLearn how to teach undistorted math so every student can reclaim their confidence. By shifting from procedures to sense-making, you’ll help your middle schoolers build the flexible mathematical brains they need to thrive.\u003c\/span\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"Corwin Press","offers":[{"title":"Default Title","offer_id":50174680105197,"sku":"CP1394","price":32.76,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0778\/0797\/6685\/files\/product-1782492806049.jpg?v=1782493018","url":"https:\/\/qepbooks.com\/products\/developing-mathematical-reasoning-the-strategies-models-and-lessons-to-teach-the-big-ideas-in-grades-6-8","provider":"QEP Books","version":"1.0","type":"link"}