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The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with these computations - not only in their current work, but also in higher-level maths and a myriad of real-world contexts.  Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of multiplication and division. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.  About the Series:  You have essential understanding. It’s time to put it into practise in your teaching.  The Putting Essential Understanding into Practice Series moves NCTM’s Essential Understanding Series into the classroom. The new series details and explores best practises for teaching the essential ideas that students must grasp about fundamental topics in mathematics - topics that are challenging to learn and teach but are critical to the development of mathematical understanding.  Classroom vignettes and samples of student work bring each topic to life and questions for reader reflection open it up for hands-on exploration. Each volume underscores connections with the Common Core State Standards for Mathematics while highlighting the knowledge of learners, curriculum, understanding into practise, instructional strategies and assessment that pedagogical content knowledge entails.  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The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with fractionsnot only in their current work, but also in higher-level mathematics and a myriad of real-world contexts.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49777542430993,"sku":"CIN0873537327G","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50627533635857,"sku":"CIN0873537327VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ WELL_READ \/ SBYB","offer_id":53234656870673,"sku":"CIN0873537327A","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0873537327_1256d35e-bbd2-4f58-b88a-880530afac3b.jpg?v=1751107758"},{"product_id":"putting-essential-understanding-of-functions-into-practice-in-grades-9-12-book-robert-ronau-9780873537148","title":"Putting Essential Understanding of Functions Into Practice in Grades 9-12","description":"Focuses on the specialised pedagogical content knowledge that you need to teach functions effectively in grades 9-12. 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Do they believe that a transformation affects only the pre-image—not the whole plane? Do they understand that examples—no matter how many they find—cannot prove a conjecture but one counterexample is sufficient to disprove it?  What tasks can you offer—what questions can you ask—to determine what they know or don’t know—and move them forward in their thinking  This book focuses on the specialized pedagogical content knowledge that you need to teach geometry effectively in grades 9–12. The authors demonstrate how to use this multifaceted knowledge to dispel students’ misconceptions and replace them with the steadily developing understanding that students need for success with geometry—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts.  Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of diagrams and definitions, transformations, and proof. 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