Math Instruction for Students with Learning Problems

ISBN-10: 0205460895
ISBN-13: 9780205460892
Edition: 2007
List price: $73.60
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Description: A field-tested and research-based approach to mathematics instruction for students with learning problems designed to build the confidence and competence of pre-service and in-service teachers (Pre-K-12). A field-tested and research-based approach  More...

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Book details

List price: $73.60
Copyright year: 2007
Publisher: Allyn & Bacon, Incorporated
Publication date: 11/13/2006
Binding: Paperback
Pages: 368
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 1.452
Language: English

A field-tested and research-based approach to mathematics instruction for students with learning problems designed to build the confidence and competence of pre-service and in-service teachers (Pre-K-12). A field-tested and research-based approach to mathematics instruction for students with learning problems designed to build the confidence and competence of pre-service and in-service teachers (Pre-K-12). This text addresses both pedagogical issues and approaches and specific content area instruction enabling readers to develop a comprehensive pedagogical repertoire and strong content understanding. Additionally, the PreK -12 scope enhances the ability to diagnose gaps in learning and provide appropriate content connections. Pre-services special education teachers and pre-service general education teachers. Text is also organized to make it easy for in-service teachers to locate material.

Preface
Foundations
Mathematics in Today's Schools: The Context for Learning Challenges
Mathematical Dispositions
Student Dispositions
Encouraging Students with Learning Problems
Mathematics Reform
National Mathematics Standards
Scope of the Mathematics Curriculum
Process Standards
Content Standards
High-Stakes Testing and Implications for Students with Learning Problems
Today's Mathematics Classrooms: A Case for Collaboration
Chapter Summary
Resources
Foundations of Mathematics Learning
Precursors of Mathematics Learning
Brain Development
Concepts and Skills Developed during Early Childhood
Development of Cognitive Structures Related to Mathematics
Importance of Informal Mathematics Knowledge
Signs of Learning Problems in Young Children
Developmentally Appropriate Mathematics for Young Children
Theories about Learning Applied to Mathematics
Behaviorist Theories
Cognitive Theories
Socio-Cultural Theories
Interrelated Theories
Constructivism
What Is Constructivism?
How Is Constructivism Related to Mathematics Learning?
Is Constructivism Relevant for Students with Learning Problems?
A Balanced View
Theories about Mathematics Disabilities and Student Characteristics
Specific Mathematics Disabilities
Characteristics of Students' Mathematics Learning Problems
Chapter Summary
Resources
Assessment and Instruction
Mathematics Assessment of Students with Learning Problems
Purposes of Assessment
Assessment for Students with Disabilities
Response to Intervention
Purposes of Broader Assessments
Assessment Standards
Standardized Tools for Individualized Mathematics Assessment
Alternative Mathematics Assessment of Students with Learning Problems
Curriculum-Based Assessment
Performance Tasks
Portfolios
Assessment Strategies
Classroom Assessment Systems
Assessing Higher-Order Processes
Collaboration for Assessment
Chapter Summary
Resources
Effective Mathematics Instruction for Students with Learning Problems
Principles of Mathematics Instruction
Planning and Delivering Instruction
Planning with Principles in Mind
Lesson-Specific Planning
Types of Mathematics Lessons
Developing a Student-Centered Mathematics Curriculum
Unit Planning in Mathematics
Advanced Mathematics Study in High School
Teacher Collaboration for Instruction
Chapter Summary
Resources
Problem-Solving Instruction for Students with Learning Problems
The Importance of Problem-Solving Skills
Characteristics of Problem Solvers
Research on Students with Disabilities
Problem-Solving Sequences
Teaching Problem-Solving Strategies
Strategies for "Understand the Problem"
Strategies for "Develop a Plan"
Strategies for "Carry Out the Plan"
Strategies for "Look Back"
Curriculum Concerns
Problem-Solving Curricula
Problem Solving across the Curriculum
Problem-Solving Instructional Guidelines
Chapter Summary
Resources
Resources and Extensions
Materials and Resources to Support Mathematics Instruction
Universal Design
Curricula for Special-Needs Students
Strategic Math Series
Direct Instruction Mathematics
Adaptations for Special Populations
TouchMath
General Education Materials: Concerns and Adaptations
Mathematics Textbooks: Criteria and Review
General Education Materials: Research Base
Adapting Mathematics Textbooks
Selecting, Creating, and Using Manipulatives
Creating Materials
Commercial Manipulatives
Technology Support
Calculators
Software
Interactive Web
Computer Environments
Other Resources
Newspapers and Print Media
Organizations and Projects
Chapter Summary
Resources
Integrating Mathematics with Content Areas and Life Skills
Integrating Mathematics with Other Content Areas
The Math-Science Connection
Mathematics as a Tool for Social Studies
Writing in Mathematics
Literature and Mathematics
The Art of Mathematics
Other Considerations for Content Area Integration
Career Education and Life-Skills Mathematics
Career Education
Life-Skills Mathematics
Applied Math
Transition Planning
Chapter Summary
Resources
Introduction to the Content Strands
Number Sense and Place Value
Number Sense
Importance of Number Sense for Mathematical Achievement
Promoting Number Sense Development
Mental Mathematics
Estimation
Number Meaning
The Language of Mathematics
Place Value
Before Place Value
The Value of Place Value
Teaching Place Value Concepts
Data Analysis
Resources
Whole-Number Relationships
Understanding Single-Digit Operations
Counting, Addition, and Subtraction Concepts
Concept of Equivalence
Multiplication and Division Concepts
Multi-Digit Computation
Multi-Digit Addition and Subtraction
Multi-Digit Multiplication and Division
Alternative Algorithms
Multicultural Connection
Resources
Spatial Sense
Importance of Spatial Sense
Development and Assessment of Spatial Abilities
Development of Spatial Abilities
Assessment of Spatial Abilities
Research with Students with Disabilities
Developing Spatial Abilities across the Mathematics Curriculum
Promoting Spatial Development: K-2
Promoting Spatial Development: 3-5
Promoting Spatial Development: Middle Grades
Promoting Spatial Development: High School
Integration of Number and Spatial Sense
Multicultural Connection
Resources
Rational Numbers
Rational Numbers
Part-Whole Comparison
Quotient
Ratio
Operator
Measure
Related Concepts
Equivalence
Proportion
Probability
Common Problems and Recommendations for Instruction
Common Problems
Instructional Strategies for Fraction Concepts
Strategies for Teaching Decimal Concepts and Calculations
Strategies for Teaching Related Concepts
Multicultural Connection
Resources
Functions
Development of the Concept of Function
Functions across the Mathematics Curriculum
Instructional Methods for Challenging Concepts
Algebraic Notation
Simplifying Algebraic Expressions and Solving Equations
Coordinate Plane Graphing
Linear Functions
Extensions of Functions
Multicultural Connection
Resources
Resources
References
Index

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