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Succeeding at Teaching Secondary Mathematics
Beschreibung:
"Here is a resource that all math teachers can use. This book maps out a road to success by incorporating best practices, innovative ideas, and proven strategies that will help any teacher reach today′s students. It is filled with illustrations and explanations on how to turn your classroom into an active learning environment that appeals to the students of the 21st century. This book is an invaluable resource in transforming my classroom—now my students want to come to math class, and they are learning!"
—Amanda McKee, Mathematics Teacher
Florence County School District #5, Johnsonville, SC
All the support and guidance new mathematics teachers need—in one invaluable resource!
In today′s world of increased accountability, teaching mathematics offers more challenges than ever before. This resource helps beginning teachers get off to a great start by providing information on everything from assessment to standards-based teaching to student engagement strategies.
The authors focus on NCTM content and process standards and offer guidelines for instructing and assessing English language learners, students with special needs, and gifted students. Filled with practical strategies as well as helpful classroom vignettes that encourage thought-provoking discussions on teaching middle and high school mathematics, this guide shows teachers how to:
- Focus on the big ideas in teaching mathematics
- Design a curriculum that is meaningful
- Differentiate instruction to include all learners
- Engage students by meeting their affective, behavioral, and cognitive needs
- Use a variety of methods to assess students′ understanding
Covering the key elements to successful teaching, this essential mathematics resource helps beginning educators lead their class with confidence!
About the Authors
Introduction
1. A Glimpse at Mathematics Instruction
Two Illustrations
Vignette 1: Algebra I—Shake Across America
Discussion
Adaptations and Extensions
Vignette 2: Seventh Grade—Surface Area With Polydron Shapes
Discussion
Adaptations and Extensions
Success in Teaching Mathematics
Summary
2. Standards-Based Teaching
Why Do We Need Standards for Teaching Mathematics?
The National Council of Teachers of Mathematics (NCTM) Principles and Standards
State and District Standards for Teaching Mathematics
The Relationship Between Standards and Standards-Based Mathematics Textbooks
Aligning Algebraic Reading With the Process Standards
Summary
3. Engaging Students in Learning Mathematics
What Is Engagement?
Engaging Learners in the Affective Domain
Vignette 1: Math Clubs
Vignette 2: Seventh Grade—Math Jeopardy
Glasser′s Five Basic Needs
Vignette 3: Increasing a Student′s Confidence in Mathematics
A Fresh Look at Math Clubs and Math Jeopardy
Affective Issues Related to Teaching and Learning Mathematics
Students Engaged in Learning Probability
Engaging Learners in the Behavioral Domain
Engaging Learners in the Cognitive Domain
Summary
4. Engagement Strategies for Special Populations
Vignette 1: Disparate Learners in Algebra I
The Special Needs Learner
The Gifted Learner
The English Language Learner
Examples of Engaging Learners in a Mathematics Classroom
Vignette 2: Permutations, Counting, and Ice Cream Cones
Discussion
Summary
5. Assessment
Types of Assessment
Rubrics
Developing Assessments: The Use of Backward Design
Grading and Assessment Schemes
Practical Ways of Assessing Throughout the Instructional Process
Tailoring Assessments for Special Populations
Data Driven Instructional Practices
A Word About Standardized Tests
Summary
6. Putting It All Together
The Year at a Glance: Designing Your Curriculum
Making Connections Within Mathematics
Mathematical Connections Across the Grades
More Connections Across the Grades
Making Connections Across the Curriculum
Succeeding at Teaching Mathematics—and Loving It!
Appendix A: Solutions to Shake Across America
Appendix B: Solution to the Following Problem From the Polydron Vignette
Appendix C: The Dart Board Game Solution
Appendix D: Generalization for Original Pizza Problem
References
Index