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The problem with math is English : a language-focused approach to helping all students develop a deeper understanding of mathematics /
"Teaching K-12 math becomes an easier task when everyone understands the language, symbolism, and representation of math conceptsPublished in partnership with SEDL, The Problem with Math Is English illustrates how students often understand fundamental mathematical concepts at a superficial leve...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
San Francisco :
Jossey-Bass,
2012.
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| Colección: | Jossey-Bass teacher.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Machine generated contents note: One. Problem with Math Is English (and a Few Other Things)
- Why Language and Symbolism?
- What We Are Teaching
- Turning the tide: A Sampling of Approaches
- Mathematics Is About Relationships
- Connecting the Pieces and Looking Ahead
- Two. Why a Language Focus in Mathematics?
- Convergence of Mathematics and English: More Than Just Vocabulary
- Problems Based on the English Language
- Number of Problems with Number
- Three. Language and Symbolism in Traditional Instruction
- Shortcomings of Traditional Instruction
- More Language and Symbolism Issues: Adding Fuel to the Fire
- Tell Me Again Why the Language Focus in Math?
- Four. So What Does Conceptual Understanding Look Like?
- It Starts with Definitions
- Making Connections in Math: Beyond Connecting Dots
- Interpretation and Translation Of Math
- Conclusion
- Five. Order of Operations: A Convention or a Symptom of What Ails Us?
- Roots of the Rules
- Natural Order: A Mathematical Perspective
- Conclusion: A Conceptual Understanding of the Order of Operations
- Six. Using Multiplication as a Critical Knowledge Base
- Understanding Key Definitions and Connections
- Interpreting Multiplication
- Using The Power of the Distributive Property
- Feeling Neglected: The Units in Multiplication
- Conclusion: Small Details, Huge Impact
- Seven. Fractions: The "F Word" in Mathematics
- Defining Fractions: Like Herding Cats
- Fraction Kingdom
- Interpreting Fractions
- Conclusion
- Eight. Operations with Fractions
- Adding and Subtracting Fractions
- Multiplying Fractions
- Dividing Fractions
- Conclusion
- Nine. Unlocking the Power of Symbolism and Visual Representation
- Symbolism
- Visual Representation
- Power of Interpretation: Three Perspectives of Trapezoids
- Conclusion
- Ten. Language-Focused Conceptual Instruction
- Language Focus: Beyond the Definitions
- Secrets to Solving Word Problems
- Suggested Instructional Strategies
- Conclusion
- Eleven. Mathematics: It's All About Relationships!
- Language and Symbolism: Vehicles for Relationship Recognition
- Relationships and Fractions
- Proportional Reasoning
- Relationships: Important Considerations
- Relationships: Making Powerful Connections
- Conclusion
- Twelve. Perfect Non-Storm: Understanding the Problem and Changing the System
- Systemic Issue
- Math Makeover.