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Open middle math : problems that unlock student thinking, 6-12 /
This book offers a new class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students. The problems have a closed beginning and end, meaning they start and end with the same problem and solution, but the middle is "open" with multiple ways...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Portsmouth, New Hampshire :
Stenhouse Publishers,
[2020]
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Dedication; Contents; Foreword; Acknowledgments; INTRODUCTION What Does an Open Middle Classroom Look Like?; CHAPTER ONE How Will These Problems Help Me?; CHAPTER TWO How Are Open Middle Problems Different?; Problems at Each Grade Level; Sixth-Grade Example: Dividing Fractions; Seventh-Grade Example: Solving Two-Step Equations; Eighth-Grade Example: Evaluating Exponents; Algebra Example: Interpreting Key Features of Quadratics in Vertex Form; Geometry Example: Finding the Midpoint of a Line Segment; Algebra 2 Example: Multiplying Complex Numbers
- Trigonometry and Pre-Calculus Example: Evaluating Trigonometric FunctionsCalculus Example: Evaluating Definite Integrals; What Are Open Middle Problems?; Connections to Other Kinds of Problems; CHAPTER THREE What Do We Need to Do Before Using a Problem with Students?; How Should We Get Started?; When Would We Want to Use an Open Middle Problem?; How Do We Choose a Problem?; How Do We Prepare to Use the Problem?; What Understandings Do We Want Students to Gain from the Problem?; CHAPTER FOUR How Do We Use a Problem with Students?; How Do We Get Students Started on the Problem?
- What Happens After We Explain the Directions to Students?What Should We Do While Students Are Working?; What If Students Don't Use the Method We Had Hoped?; What If Students Solve the Problem Using a Method We Don't Understand?; What Should We Do If Students Give Up After Trying the Problem a Couple of Times?; How Can We Tell When Productive Struggle Becomes Unproductive Struggle?; What Should We Do If Students Are Unproductively Struggling?; What Should We Do When Kids Get Stuck in Unexpected Ways?; What Should We Do After Students Are Finished with the Problem?
- How Do We Facilitate the Classroom Conversation?What If Students Are Not Ready for a Conversation by the End of Class?; How Do We Avoid Hurting Students' Feelings?; What Should We Do If Students Struggle to Explain Their Thinking?; How Much Class Time Should This All Take?; What Should We Do with the Information We Learn About What Students Know?; CHAPTER FIVE Where Can I Get More Open Middle Problems?; Find Them on Open Middle; Make Your Own Open Middle Problems; Step 1: Start with a Level 1 Problem; Step 2: Increase the Problem from Level 1 to Level 2
- Step 3: Increase the Problem from Level 2 to Level 3Make More Advanced Problems; Share Your Open Middle Problems with Other Math Educators; CHAPTER SIX What Comes Next?; Actions to Consider; Final Thoughts; References; Index; A; B; C; D; E; F; G; H; I; J; K; L; M; O; P; Q; R; S; T; U; V; W; X