Conceptual Model-Based Problem Solving : Teach Students with Learning Difficulties to Solve Math Problems.

Intro -- Conceptual Model-Based Problem Solving: Teach Students with Learning Difficulties to Solve Math Problems -- TABLE OF CONTENTS -- Acknowledgements -- About the Author -- 1. Conceptual Model-based Problem Solving: Teach Students with Learning Diffi culties to Solve Math Problems -- Introduction -- Algebra Thinking in Problem Solving -- Mathematical Modeling -- Theoretical Framework: Conceptual Model-based Problem Solving -- SBI that Emphasizes Semantic Analyses and Representation of the Problem -- COMPS that Emphasizes Algebraic Expression of Mathematical Relations -- Summary -- Program Components -- The scope and sequence of the program -- Target Audience and Users of the Program -- 2. COMPS Program -- Introduction -- Singapore Bar Models (SBM) to Facilitate the Transition to Mathematical Models -- Word Problem [WP] Story Grammar (Xin et al., 2008) -- A Cognitive Heuristic DOTS Checklist (Xin et al., 2008) -- Additive and Multiplicative Word Problem Structure and its Variations -- Instructional Phases -- Part 1: Additive Problem Solving -- Unit 1: Representing Part-Part-Whole (PPW) Problems -- Lesson 1: Introduction -- Lesson 2: Part-Part-Whole Problem Representation -- Unit 2: Solving Part-Part Whole (PPW) Problems -- Lesson 3: Solving PPW Problems -- Unit 3: Representing Additive Compare (AC) Problems -- Lesson 4: Representing AC-More Problems -- Lesson 5: Representing AC-Less Problems -- Unit 4: Solving Additive Compare (AC) Problems -- Lesson 6: Solving Mixed AC Problems -- Unit 5: Solving Mixed PPW and AC Problems -- Lesson 7: Solving mixed PPW and AC Problems -- Part 2: Multiplicative Problem Representation and Solving -- Unit 6: Representing Equal Groups (EG) Problems -- Unit 7: Solving Equal Groups (EG) Problems -- Unit 8: Representing Multiplicative Compare (MC) Problems -- Unit 9: Solving Multiplicative Compare (MC) Problems.

Unit 10: Solving Mixed Equal Groups and Multiplicative Compare Problems -- Part 3: Solving Complex Problems -- Unit 11: Solving Complex Word Problems -- Unit 12: Solving Mixed Multi-Step Problems -- 3 Connection between Mathematical Ideas: Extend Multiplicative Reasoning to Geometry Learning -- Appendix A: Student Worksheets -- Appendix B: Reference Guide -- References.

Are you having trouble in finding Tier II intervention materials for elementary students who are struggling in math? Are you hungry for effective instructional strategies that will address students' conceptual gap in additive and multiplicative math problem solving? Are you searching for a powerful and generalizable problem solving approach that will help those who are left behind in meeting the Common Core State Standards for Mathematics (CCSSM)? If so, this book is the answer for you.

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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.