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Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success.   Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like.   Contents Introduction 1          Place Value, Addition, and Subtraction 2          Multiplication and Division 3          Fraction Concepts 4          Fraction Operations 5          Geometry 6          Measurement Epilogue          Next Steps Appendix A    Completed Classification of Triangles Chart Appendix B     Completed Diagram for Classifying Quadrilaterals

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When done right, small-group instruction is a powerful tool for facilitating student understanding in K-5 mathematics. Throughout the book, best practices for small-group math instruction are addressed in detail, from planning tasks that encourage deep understanding to asking effective questions to engaging learners in meaningful conversations. Readers will learn how teaching mathematics in small groups allows you to differentiate instruction for both remediation and enrichment. The included small-group instruction videos demonstrate the suggested strategies in a real-classroom setting, giving readers the opportunity to see best practice in action. Develop math-specific instruction strategies for teaching small groups in elementary school: Explore the benefits of small-group math activities and how these activities are unique compared to large-group instruction. Discover the teacher's and students' roles in small-group instruction and how teachers can help students develop the skills to fulfill their role. Learn how to apply the general tasks, questions, and evidence (TQE) process to small-group instruction in order to enhance student learning and improve your knowledge of teaching mathematics. View examples of small-group instruction, which provide both math intervention and math enrichment activities for different students. Contents: Acknowledgments Table of Contents About the Authors Introduction Chapter 1: Best Practices in Small-Group Instruction Chapter 2: The TQE Process in Small-Group Instruction Chapter 3: Discourse in Small-Group Instruction Epilogue: How to Tie It All Together References Index

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Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world.   Benefits   Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like.   Contents   Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

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Develop a deep understanding of mathematics. This user-friendly resource presents grades 6–8 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Make connections between elementary fraction-based content to fraction operations taught in the middle grades. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to grow as both learners and teachers of mathematics. Gain clarity about the most productive progression of mathematical teaching and learning for grades 6–8. Access short videos that show what classrooms that are developing mathematical understanding should look like.   Contents Introduction 1    Fraction Operations and Integer Concepts and Operations 2    Ratios and Proportional Relationships 3    Equations, Expressions, and Inequalities 4    Functions 5    Measurement and Geometry 6    Statistics and Probability Epilogue:   Next Steps References and Resources Index

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Develop a deep understanding of mathematics. This user-friendly resource presents grades K–2 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Clarify math essentials with figures and tables that facilitate understanding through visualization. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like.   Contents Introduction 1              Number Concepts and Place Value 2              Word Problem Structures 3              Addition and Subtraction Using Counting Strategies 4              Addition and Subtraction Using Grouping Strategies 5              Geometry 6              Measurement Epilogue               Next Steps Appendix A         Completed Classification of Triangles Chart Appendix B         Completed Diagram for Classifying Quadrilaterals

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Discover a clear path for improving your instructional strategies for teaching mathematics at any grade level. Designed for individuals or collaborative teams, this practical resource introduces a set of rubrics – the Instructional Quality Assessment (IQA) Toolkit – that readers can rely on to help guide reflections, conversations, feedback, and planning. Also included is a series of short videos that showcase how to use the book's math strategies and tools in classrooms. Ensure the instructional quality of your teaching strategies in mathematics: Utilize tasks, questions, and evidence (the TQE process) and the associated IQA rubrics as a road map for increasing instructional quality. Become familiar with the connection between efficient use of tasks and teacher questioning with increased student success. Learn how to gauge student response to tasks and lessons in order to understand student mastery of the material. Enhance your understanding of math strategies through hands-on activities. Access free online reproducibles for use in teaching mathematics in the classroom. Contents: About the Authors Introduction Part 1: Connecting to the T in TQE – Tasks and Task Implementation Chapter 1: Potential of the Task Chapter 2: Implementation of the Task Part 2: Connecting to the Q in TQE – Questions and Their Role as Discourse Actions Chapter 3: Teacher's Questions Chapter 4: Teacher's Linking and Teacher's Press Part 3: Connecting to the E in TQE – Evidence of Students' Mathematical Work and Thinking Chapter 5: Students' Linking and Students' Providing Chapter 6: The IQA Toolkit as a Tool to Assess and Improve Instructional Practice Epilogue: Next Steps Appendix A: The IQA Toolkit Appendix B: Suggested Answers for Activity 1.4 Appendix C: Suggested Answers for Activity 3.2 Appendix D: Additional Support for Rating Tasks Appendix E: List of Figures and Videos References and Resources Index More Making Sense of Mathematics Books: Making Sense of Mathematics for Teaching Grades K-2 Making Sense of Mathematics for Teaching Grades 3-5 Making Sense of Mathematics for Teaching Grades 6-8 Making Sense of Mathematics for Teaching High School Making Sense of Mathematics for Teaching to Inform Instructional Quality Making Sense of Mathematics for Teaching Girls in Grades K-5 Making Sense of Mathematics for Teaching the Small Group

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Focus your curriculum to heighten student achievement. Learn 10 high-leverage team actions for grades K–5 mathematics instruction and assessment. Discover the actions your team should take before a unit of instruction begins, as well as the actions and formative assessments that should occur during instruction. Examine how to most effectively reflect on assessment results, and prepare for the next unit of instruction.

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