Making Sense of Number, K-10 : Getting to Know Your Students So You Can Support the Development of Their Mathematical Understanding.

Cover -- Title -- Copyright -- Contents -- Preface -- Chapter 1: A Vision for Teaching and Learning Mathematics -- Beliefs about Mathematics -- Teaching and Learning Mathematics -- Knowledge to Support the Teaching and Learning of Mathematics -- Knowing Mathematics for Teaching -- Knowing Your Mathematical Learner -- Planning for Meaningful Learning -- Using Learning Progressions -- Professional Noticing -- Teaching and Learning for Mathematical Proficiency -- The Components of Mathematical Proficiency -- Structuring Learning Experiences for Mathematics Teaching and Learning -- Essential Elements of Effective Practices -- Reflective Summary -- Chapter 2: Teaching through Mathematical Thinking -- Thinking about Thinking -- What Is Mathematical Thinking? -- Identifying Mathematical Thinking -- A Synthesis of Our Understanding about Mathematical Thinking -- Making Sense of Number through Mathematical Thinking -- Intuition and Mathematical Thinking -- Number Sense and Critical Thinking -- Critical Thinking and the Numerate Learner -- Promoting Number Sense -- Chapter 3: Quantity -- Making Sense of Quantity -- Using Models to Support Understanding of Quantity -- Using Prompting to Think About Quantity -- How Will We Know Our Students Understand Quantity? -- Learning Experiences -- Kindergarten-Grade 2 Learning Experience #1 -- Kindergarten-Grade 2 Learning Experience #2 -- Additional Learning Experiences to Support Learning Quantity -- Grade 3-5 Learning Experience #1 -- Grade 3-5 Learning Experience #2 -- Additional Learning Experiences to Support Learning Quantity -- Grade 6-10 Learning Experience #1 -- Grade 6-10 Learning Experience #2 -- Additional Learning Experiences to Support Learning Quantity -- Chapter 4: Counting -- Making Sense of Counting -- Counting in Many Contexts -- Using Prompting to Think About Counting.

How Will We Know Our Students Understand Counting? -- Learning Experiences -- Kindergarten-Grade 2 Learning Experience #1 -- Kindergarten-Grade 2 Learning Experience #2 -- Additional Learning Experiences to Support Learning Counting -- Grade 3-5 Learning Experience #1 -- Grade 3-5 Learning Experience #2 -- Additional Learning Experiences to Support Learning Counting -- Grade 6-10 Learning Experience #1 -- Grade 6-10 Learning Experience #2 -- Additional Learning Experiences to Support Learning Counting -- Chapter 5: Relating -- Making Sense of Relating -- Making Generalizations -- Relating Parts of the Four Operations -- Relating Addition and Subtraction -- Relating Multiplication and Division -- Using Prompting to Think About Relating -- How Will We Know Our Students Understand Relating? -- Learning Experiences -- Kindergarten-Grade 2 Learning Experience #1 -- Kindergarten-Grade 2 Learning Experience #2 -- Additional Learning Experiences to Support Learning Relating -- Grade 3-5 Learning Experience #1 -- Grade 3-5 Learning Experience #2 -- Additional Learning Experiences to Support Learning Relating -- Grade 6-10 Learning Experience #1 -- Grade 6-10 Learning Experience #2 -- Additional Learning Experiences to Support Learning Relating -- Chapter 6: Representing -- Making Sense of Representing -- Ways of Representing -- Using Thinking Tools to Represent -- Using Gestures to Represent -- Using Strategies and Models to Represent -- Using Prompting to Think About Representing -- How Will We Know Our Students Understand Representing? -- Learning Experiences -- Kindergarten-Grade 2 Learning Experience #1 -- Kindergarten-Grade 2 Learning Experience #2 -- Additional Learning Experiences to Support Learning Representing -- Grade 3-5 Learning Experience #1 -- Grade 3-5 Learning Experience #2 -- Additional Learning Experiences to Support Learning Representing.

Grade 6-10 Learning Experience #1 -- Grade 6-10 Learning Experience #2 -- Additional Learning Experiences to Support Learning Representing -- Chapter 7: Consolidating Our Professional Learning -- Summary of Our Thinking Related to the Teaching and Learning of Mathematics -- Seven Key Concepts -- Appendix A: Sample Student Profile Template -- References -- Recommended Resources for Mathematics Professional Development -- Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.