
Mathematical Cognition
Description
Alles über E-Books | Antworten auf Fragen rund um E-Books, Kopierschutz und Dateiformate finden Sie in unserem Info- & Hilfebereich.
All prices
More details
Other editions
Additional editions

Content
- Cover
- Mathematical Cognition
- Mathematical Cognition
- Copyright Page
- List of Contributors
- Contents
- Introduction
- REFERENCES
- 1: The Development of Math Competence in the Preschool and Early School Years: Cognitive Foundations and Instructional Strategies
- ABSTRACT
- INTRODUCTION
- The Definition Paradox
- The Development Paradox
- The Instruction Paradox
- WHAT IS MATH COMPETENCE?
- HOW DOES MATH COMPETENCE DEVELOP?
- The 4-year-old Structures
- Global Quantity Schema
- Initial Counting Schema
- The 6-year-old Structure
- The 8-year-old Structure
- The 10-year-old Structure
- HOW CAN MATH COMPETENCE BE FOSTERED IN SCHOOL SETTINGS?
- Instructional Strategies to Foster the Development of Math Competence
- Program Effects
- CONCLUSION
- AUTHOR NOTE
- REFERENCES
- 2: Perspectives on Mathematics Strategy Development
- ABSTRACT
- INTRODUCTION
- The Development of Strategies
- Variability in Strategy Use
- FACTORS AFFECTING STRATEGY DEVELOPMENT
- Conceptual Knowledge
- Semantic Structure of Problem
- Working Memory
- Contextual Effects
- Fluency (Reaction Time)
- Procedural Knowledge
- THE COGNITIVE PSYCHOLOGY PERSPECTIVE
- Siegler's Overlapping Waves Theory
- THE CONSTRUCTIVIST PERSPECTIVE
- Sequencing, Cardinality, and Counting
- Steffe's Numerical Schemes
- Case's Theory of Intellectual Development
- SOCIAL CONSTRUCTIVIST AND SITUATED COGNITIVE PERSPECTIVES
- STRATEGY DEVELOPMENT IN SPECIAL POPULATIONS
- Children with Mathematics Disabilities
- Gender Differences in the Development of Mathematics Strategies
- IMPLICATIONS FOR EDUCATION
- REFERENCES
- 3: Mathematical Problem Solving
- ABSTRACT
- INTRODUCTION
- Purpose
- Definitions
- Types of Problems
- Cognitive Processes in Mathematical Problem Solving
- TRANSLATING
- What Is Translating?
- Research on Translating
- Instructional Implications of Research on Translating
- INTEGRATING
- What Is Integrating?
- Research on Integrating
- Instructional Implications of Research on Integrating
- PLANNING
- What Is Planning?
- Research on Planning
- Instructional Implications of Research on Planning
- EXECUTING
- What is Executing?
- Research on Executing
- Instructional Implications of Research on Executing
- CONCLUSION
- AUTHOR NOTE
- REFERENCES
- 4: Learning Disabilities in Basic Mathematics: Deficits in Memory and Cognition
- ABSTRACT
- INTRODUCTION
- BACKGROUND CHARACTERISTICS OF CHILDREN WITH MD
- Diagnosis
- Prevalence and Etiology
- MODELS OF MATHEMATICAL DEVELOPMENT AND DISABILITIES
- Number
- Counting
- Arithmetic
- DEFICITS IN MEMORY AND COGNITION
- SUMMARY
- AUTHOR NOTE
- REFERENCES
- 5: Relationships Among Basic Computational Automaticity, Working Memory, and Complex Mathematical Problem Solving: What We Know and What We Need to Know
- ABSTRACT
- INTRODUCTION
- WORKING MEMORY INVOLVEMENT IN SIMPLE MENTAL ARITHMETIC
- A Theoretical Model of Working Memory
- Baddeley's Model of Working Memory
- Arithmetic/Working Memory Studies Using Baddeley's Model
- Findings Using Verification Task Methodologies
- Findings Using Production Task Methodologies
- Working Memory Resource Use in Mental Arithmetic as a Function of Practice/Development
- Summary of Working Memory Involvement in Arithmetic
- THE RELATIONSHIP BETWEEN COMPUTATIONAL EFFICIENCY AND COMPLEX MATHEMATICAL PROBLEM SOLVING
- Empirical Evidence for the Relationship
- Correlation, Regression, and Structural Equation Modeling Studies
- Studies of Elementary Students
- Studies Using Older Students and Additional Predictor Variables
- Structural Equation Modeling Studies
- Evidence from Select Samples
- IMPLICATIONS FOR FUTURE RESEARCH
- Working Memory Involvement in Mental Arithmetic
- Future Research on the Arithmetic Automatization/Higher Problem Solving Relationship
- CONCLUSION
- REFERENCES
- 6: Mathematics Instruction: Cognitive, Affective and Existential Perspectives
- ABSTRACT
- INTRODUCTION
- RESEARCH-BASED INSTRUCTION
- Math Teaching in College
- Middle School Mathematics
- RESEARCH ON TEACHING IN SCHOOLS
- PERSPECTIVES ON TEACHING
- A Model of Instructional Capacity
- A View of Math Teaching from Practice
- Research on the Affective Domain
- Teaching as a Way of Being: an Existential Perspective on Teachers and Teaching
- CONCLUSION
- NOTES
- REFERENCES
- 7: A Brief History of American K-12 Mathematics Education in the 20th Century
- ABSTRACT
- INTRODUCTION
- HISTORICAL OUTLINE: 1920 TO 1980
- THE 1980S: PRELUDE TO NATIONAL STANDARDS
- THE 1989 NCTM STANDARDS
- THE NATIONAL SCIENCE FOUNDATION
- PUBLIC RESISTANCE TO THE NCTM STANDARDS
- MATHEMATICIANS, CALIFORNIA, AND THE NATION
- CONCLUDING REMARKS
- APPENDIX
- ACKNOWLEDGMENTS
- NOTES
- REFERENCES
- 8: Assessment in Mathematics: A Developmental Approach
- ABSTRACT
- INTRODUCTION
- SOME CURRENT ASSESSMENT ISSUES IN MATHEMATICS
- OUTCOMES-BASED ASSESSMENT
- Some Issues of Outcomes-based Education
- ASSESSMENT FROM A COGNITION PERSPECTIVE
- THE SOLO MODEL
- SOLO Modes and Levels
- Two Cycles of Levels Within a Model
- Process-object Encapsulation Theories and SOLO
- Applications of SOLO in Mathematics
- Fractions
- Expressing Generalization
- Implications
- APPLYING SOLO IN THE CLASSROOM
- CONCLUSION
- REFERENCES
System requirements
File format: PDF
Copy-Protection: Adobe-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Install the free reader Adobe Digital Editions prior to download (see eBook Help).
- Tablet/smartphone (Android; iOS): Install the free app Adobe Digital Editions or the app PocketBook before downloading (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (only limited: Kindle).
The file format PDF always displays a book page identically on any hardware. This makes PDF suitable for complex layouts such as those used in textbooks and reference books (images, tables, columns, footnotes). Unfortunately, on the small screens of e-readers or smartphones, PDFs are rather annoying, requiring too much scrolling.
This eBook uses Adobe-DRM, a „hard” copy protection. If the necessary requirements are not met, unfortunately you will not be able to open the eBook. You will therefore need to prepare your reading hardware before downloading.
Please note: We strongly recommend that you authorise using your personal Adobe ID after installation of any reading software.
For more information, see our eBook Help page.
File format: ePUB
Copy protection: Adobe-DRM (Digital Rights Management)
System requirements:
- Computer (Windows; MacOS X; Linux): Install the free reader Adobe Digital Editions prior to download (see eBook Help).
- Tablet/smartphone (Android; iOS): Install the free app Adobe Digital Editions or the app PocketBook before downloading (see eBook Help).
- E-reader: Bookeen, Kobo, Pocketbook, Sony, Tolino and many more (not Kindle).
The file format ePub works well for novels and non-fiction books – i.e., „flowing” text without complex layout. On an e-reader or smartphone, line and page breaks automatically adjust to fit the small displays.
This eBook uses Adobe-DRM, a „hard” copy protection. If the necessary requirements are not met, unfortunately you will not be able to open the eBook. You will therefore need to prepare your reading hardware before downloading.
Please note: We strongly recommend that you authorise using your personal Adobe ID after installation of any reading software.
For more information, see our ebook Help page.