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Teaching mathematical thinking : tasks and questions to strengthen practices and processes / Marian Small ; foreword by Linda Dacey.

By: Material type: TextTextPublisher: New York : Teachers College Press, [2017]Copyright date: ©2017Description: xi, 129 pages : illustrations ; 25 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9780807758564
  • 0807758566
Subject(s): Additional physical formats: Online version:: Teaching mathematical thinking.DDC classification:
  • 372.70973 23
LOC classification:
  • QA10.5 .S63 2017
Contents:
Foreword /Linda Dacey -- Preface -- Introduction -- 1. Making sense of problems and persevering in solving them: Mathematical Practice Standard 1 -- 2. Reasoning abstractly and quantitatively: Mathematical Practice Standard 2 -- 3. Constructing and critiquing arguments: Mathematical Practice Standard 3 -- 4. Modeling with mathematics: Mathematical Practice Standard 4 -- 5. Using tools strategically: Mathematical Practice Standard 5 -- 6. Attending to precision: Mathematical Practice Standard 6 -- 7. Recognizing and using structure: Mathematical Practice Standard 7 -- 8. Recognizing and using regularity in repeated reasoning: Mathematical Practice Standard 8 -- 9. Using visualization and performing mental math and estimation -- Conclusion -- Bibliography -- Index -- About the author.
Summary: "This new resource by math education expert Marian Small helps schools and districts to refine their teaching of standards-based mathematical practices. Small devotes a chapter to each of the eight standards of practice and includes a discussion of what each standard looks like in grades K–2, 3–5, and 6–8. Specific attention is given to helping students make sense of problems and persevere in solving them (Standard 1) and to encouraging students to create viable mathematical arguments and to effectively and respectfully critique the reasoning of others (Standard 3). The author also discusses how to formatively assess student performance for each practice standard. To provide additional support to U.S. teachers in their instructional planning, this resource includes attention to the Canadian math processes of visualization and mental math and estimation."--Publisher's website.
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Includes bibliographical references and indexes.

Foreword /Linda Dacey -- Preface -- Introduction -- 1. Making sense of problems and persevering in solving them: Mathematical Practice Standard 1 -- 2. Reasoning abstractly and quantitatively: Mathematical Practice Standard 2 -- 3. Constructing and critiquing arguments: Mathematical Practice Standard 3 -- 4. Modeling with mathematics: Mathematical Practice Standard 4 -- 5. Using tools strategically: Mathematical Practice Standard 5 -- 6. Attending to precision: Mathematical Practice Standard 6 -- 7. Recognizing and using structure: Mathematical Practice Standard 7 -- 8. Recognizing and using regularity in repeated reasoning: Mathematical Practice Standard 8 -- 9. Using visualization and performing mental math and estimation -- Conclusion -- Bibliography -- Index -- About the author.

"This new resource by math education expert Marian Small helps schools and districts to refine their teaching of standards-based mathematical practices. Small devotes a chapter to each of the eight standards of practice and includes a discussion of what each standard looks like in grades K–2, 3–5, and 6–8. Specific attention is given to helping students make sense of problems and persevere in solving them (Standard 1) and to encouraging students to create viable mathematical arguments and to effectively and respectfully critique the reasoning of others (Standard 3). The author also discusses how to formatively assess student performance for each practice standard. To provide additional support to U.S. teachers in their instructional planning, this resource includes attention to the Canadian math processes of visualization and mental math and estimation."--Publisher's website.

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