{"product_id":"developing-mathematical-reasoning-9781071948262","title":"Developing Mathematical Reasoning","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp dir=\"ltr\" style=\"margin-top:\" margin-bottom:=\"\" line-height:=\"\"\u003e\u003cstrong\u003e\u003cem\u003eMath is not rote-memorizable. Math is not random-guessable. Math is figure-out-able.\u003c\/em\u003e\u003c\/strong\u003e\u003c\/p\u003e\u003cp dir=\"ltr\" style=\"margin-top:\" margin-bottom:=\"\" line-height:=\"\"\u003eAuthor Pam Harris argues that teaching real mathmath that is free of distortionswill 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\/p\u003e\u003cp dir=\"ltr\" style=\"margin-top:\" margin-bottom:=\"\" line-height:=\"\"\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, but in reality their brains never get any stronger.\u003c\/p\u003e\u003cp dir=\"ltr\" style=\"margin-top:\" margin-bottom:=\"\" line-height:=\"\"\u003eUsing these 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\/p\u003e\u003cp dir=\"ltr\" style=\"margin-top:\" margin-bottom:=\"\" line-height:=\"\"\u003e\u003cstrong\u003e\u003cem\u003eDeveloping Mathematical Reasoning: Avoiding the Trap of Algorithms\u003c\/em\u003e\u003c\/strong\u003eemphasizes the importance of teaching students increasingly sophisticated mathematical reasoning and understanding underlying concepts rather than relying on a set rule for solving problems. This book illuminates a hierarchy of mathematical reasoning to help teachers guide students through various domains of math development, from basic counting and adding to more complex proportional and functional reasoning.\u003c\/p\u003e\u003cp dir=\"ltr\" style=\"margin-top:\" margin-bottom:=\"\" line-height:=\"\"\u003eEveryone is capable of understanding and doing real math. This book:\u003c\/p\u003e\u003cul style=\"margin-top:\" margin-bottom:=\"\"\u003e    \u003cli dir=\"ltr\" aria-level=\"1\" style=\"background-color:\" transparent list-style-type: disc\u003e    \u003cp dir=\"ltr\" role=\"presentation\" style=\"margin-top:\" margin-bottom: line-height:\u003eHighlights the important mathematical relationships, strategies, and models for students to develop\u003c\/p\u003e    \u003c\/li\u003e    \u003cli dir=\"ltr\" aria-level=\"1\" style=\"background-color:\" transparent list-style-type: disc\u003e    \u003cp dir=\"ltr\" role=\"presentation\" style=\"margin-top:\" margin-bottom: line-height:\u003eOffers personal stories, reflection sections, and extensive practical exercises for easy implementation\u003c\/p\u003e    \u003c\/li\u003e    \u003cli dir=\"ltr\" aria-level=\"1\" style=\"background-color:\" transparent list-style-type: disc\u003e    \u003cp dir=\"ltr\" role=\"presentation\" style=\"margin-top:\" margin-bottom: line-height:\u003eIncludes real matha lot of itto provide teachers with examples they can put to use in their classrooms immediately\u003c\/p\u003e    \u003c\/li\u003e\n\u003c\/ul\u003e\u003cp dir=\"ltr\" style=\"margin-top:\" margin-bottom:=\"\" line-height:=\"\"\u003eThis book is a valuable resource for educators looking to reach more students by building a strong foundation of mathematical thinking in their students. By addressing common misconceptions about math and providing practical strategies for teaching real math, this book shows that everyone can use the mathematical relationships they already know to reason about new relationships. In other words,everyone can math.\u003c\/p\u003e","brand":"SAGE Publications Inc","offers":[{"title":"Default Title","offer_id":51535043101015,"sku":"9781071948262","price":27.08,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781071948262.jpg?v=1755858738","url":"https:\/\/bookcurl.com\/products\/developing-mathematical-reasoning-9781071948262","provider":"Book Curl","version":"1.0","type":"link"}