- Summary
- Contents
Any way you slice it, fractions are foundational
Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler provides research-based tools that are aligned with NCTM and Common Core State Standards. He describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Also included are tools for analyzing student work and providing timely, specific, and meaningful interventions within an RTI framework. The targeted interventions for each error pattern promote teaching for conceptual understanding and are supported by documented academic research. Practical materials include: Reproducibles for diagnostic tests; Practice pages for exercises keyed to the diagnostic tests and error patterns; Pages for practicing alternative algorithms and ...
A Look at the Academic Research: Intervention in the Mathematics Classroom
A Look at the Academic Research: Intervention in the Mathematics Classroom
- Introduction to the Academic Research 2
- Equity and Accessing Language 3
- Student Dispositions 4
- Activating Prior Knowledge 5
- Representations 5
- Estimation and Mental Math 7
- Alternative Algorithms 8
- Differentiating Instruction 9
- Instructional Games and Technology 11
- Response to Intervention 12
- The Teaching of Fractions 13
- Questions for Teacher Reflection 19
Introduction to the Academic Research
This book provides a model for diagnosing errors involving fraction concepts/computation and providing meaningful instructional strategies for timely, pinpointed intervention. After this introduction to the research, the book begins with a two-part section titled “Big Ideas in Fractions and Problem Solving.” That section is included because before students consider specific algorithms, they should have an understanding of basic fraction concepts—along with ...
