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Cases on Technology Integration in Mathematics Education

Book Description

Common Core education standards establish a clear set of specific ideas and skills that all students should be able comprehend at each grade level. In an effort to meet these standards, educators are turning to technology for improved learning outcomes. Cases on Technology and Common Core Mathematics provides a compilation of cases and vignettes about the application of technology in the classroom in order to enhance student understanding of math concepts. This book is a timely reference source for mathematics educators, educational technologists, and school district leaders employed in the mathematics education or educational technology fields.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Book Series
    1. Mission
    2. Coverage
  5. Editorial Advisory Board and List of Reviewers
    1. Editorial Advisory Board
  6. Foreword
    1. REFERENCES
  7. Preface
    1. THE POTENTIAL OF TECHNOLOGY IN MATHEMATICS CLASSROOMS
    2. OVERVIEW OF CHAPTERS
    3. REFERENCES
  8. Section 1: Leveraging Technology to Teach Specific Content
    1. Chapter 1: Leveraging Dynamic and Dependable Spreadsheets Focusing on Algebraic Thinking and Reasoning
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. SCAFFOLDING LEARNING WITH DYNAMIC SPREADSHEETS AS MATHEMATICS LEARNING TOOLS
      4. BENEFITS OF SPREADSHEETS AS MATHEMATICAL TOOLS
      5. ATTENDING TO THE CONCERNS WHEN USING SPREADSHEETS AS MATHEMATICAL LEARNING TOOLS
      6. REFERENCES
      7. KEY TERMS AND DEFINITIONS
    2. Chapter 2: A Case Study of Primary School Students' Use of a Dynamic Statistics Software Package for Analyzing and Interpreting Data
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. BACKGROUND
      4. METHODOLOGY
      5. FINDINGS
      6. DISCUSSION
      7. CONCLUSION
      8. REFERENCES
      9. KEY TERMS AND DEFINITIONS
    3. Chapter 3: Local Lotto
      1. EXECUTIVE SUMMARY
      2. ORGANIZATION BACKGROUND
      3. THEORETICAL FRAMEWORKS AND PERSPECTIVES
      4. CASE DESCRIPTION
      5. CURRENT CHALLENGES FACING THE ORGANIZATION
      6. SOLUTIONS AND RECOMMENDATIONS
      7. ACKNOWLEDGMENT
      8. REFERENCES
      9. ADDITIONAL READING
      10. KEY TERMS AND DEFINITIONS
    4. Chapter 4: Bringing Dynamic Geometry to Three Dimensions
      1. EXECUTIVE SUMMARY
      2. BACKGROUND
      3. SETTING THE STAGE
      4. CASE DESCRIPTION
      5. CURRENT CHALLENGES
      6. SOLUTIONS AND RECOMMENDATIONS
      7. REFERENCES
      8. KEY TERMS AND DEFINITIONS
      9. ENDNOTES
    5. Chapter 5: Playing with Perpendicular Lines
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. THE CASE
      4. LAURA DISCUSSES THE LESSON
      5. ANALYZING THE CASE
      6. EXTENDING THE ANALYSIS
      7. MATHEMATICS INSTRUCTION IN A TECHNOLOGICAL ENVIRONMENT
      8. REFERENCES
      9. KEY TERMS AND DEFINITIONS
    6. Chapter 6: Students' Experiences Composing and Decomposing Two-Dimensional Shapes in First and Second Grade Mathematics Classrooms
      1. EXECUTIVE SUMMARY
      2. OVERVIEW
      3. THEORETICAL FRAMEWORK
      4. METHOD
      5. FINDINGS
      6. DISCUSSION
      7. CONCLUSION
      8. REFERENCES
      9. ADDITIONAL READING
      10. KEY TERMS AND DEFINITIONS
  9. Section 2: Leveraging Technology to Support Mathematical Practices
    1. Chapter 7: Using New Technologies to Engage and Support English Language Learners in Mathematics Classrooms
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. THE CHALLENGES OF THE COMMON CORE STATE STANDARDS IN MATHEMATICS
      4. THE DIMENSIONS AND FEATURES OF ACADEMIC LANGUAGE
      5. ESSENTIAL PRACTICE FRAMES
      6. THE PROMISE OF NEW TECHNOLOGIES FOR ACADEMIC LANGUAGE DEVELOPMENT AND MATHEMATICAL PRACTICE
      7. LEARNING ACTIVITIES WITH NEW TECHNOLOGIES
      8. CONCLUSION
      9. REFERENCES
      10. ADDITIONAL READING
      11. KEY TERMS AND DEFINITIONS
    2. Chapter 8: The Port Lesson
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. BACKGROUND
      4. THE LESSON
      5. CONCLUSION
      6. REFERENCES
      7. ADDITIONAL READING
      8. KEY TERMS AND DEFINITIONS
    3. Chapter 9: What Does Technology Bring to the Common Core Mathematical Practices?
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. TECHNOLOGICAL PEDAGOGICAL CONTENT KNOWLEDGE
      4. REPRESENTATION AND MODELING
      5. TECHNOLOGY FIDELITY AND LOOKING FOR STRUCTURE AND REGULARITY IN REPEATED REASONING
      6. MULTIPLE TECHNOLOGIES FOR MULTIPLE PURPOSES
      7. FURTHER ADDRESSING THE MATHEMATICAL PRACTICES THROUGH DYNAMIC TECHNOLOGY
      8. ENABLING REASONING AND PROOF ACROSS THE MATHEMATICAL PRACTICES
      9. CREATING CONNECTIONS THROUGH THE MATHEMATICAL PRACTICES
      10. CONCLUSION
      11. REFERENCES
      12. KEY TERMS AND DEFINITIONS
    4. Chapter 10: Utilizing Technology to Engage in Statistical Inquiry in Light of the Standards for Mathematical Practice
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. TECHNOLOGY AND THE STANDARDS OF MATHEMATICAL PRACTICE
      4. CONTEXT OF THE VIGNETTES
      5. VIGNETTE 1: MAKE SENSE OF PROBLEMS AND PERSEVERE IN SOLVING THEM
      6. VIGNETTE 2: CONSTRUCT VIABLE ARGUMENTS AND CRITIQUE THE REASONING OF OTHERS
      7. VIGNETTE 3: REASON ABSTRACTLY AND QUANTITATIVELY
      8. SUMMARY
      9. REFERENCES
      10. KEY TERMS AND DEFINITIONS
    5. Chapter 11: Using Dynamic Geometry Software to Engage Students in the Standards for Mathematical Practice
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. READING THE CASE
      4. BACKGROUND
      5. MS. LOWE DISCUSSES THE TASK
      6. THE LESSON
      7. MS. LOWE DISCUSSES THE LESSON
      8. ADDITIONAL READING
      9. KEY TERMS AND DEFINITIONS
      10. APPENDIX 1
  10. Section 3: Examples of Technological Tools to Support Teaching and Learning
    1. Chapter 12: Integrating Multimedia Animations to Support Common Core State Standards in Mathematics Classrooms
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. SUMMARY
      4. ACKNOWLEDGMENT
      5. REFERENCES
      6. KEY TERMS AND DEFINITIONS
    2. Chapter 13: Teaching Fundamental Math Concepts
      1. EXECUTIVE SUMMARY
      2. OUR STORY
      3. WHAT MAKES FOR GOOD EDUCATIONAL APPS
      4. CHARACTERISTICS OF APPS THAT PROMOTE LEARNING
      5. WHAT IF YOU CAN'T FIND THE APP THAT YOU NEED?
      6. DESIGN AND DEVELOPMENT PROCESS
      7. THE ARCHITECTURE OF FRUIT PLATE MATH
      8. LET STUDENTS BE APP TESTERS
      9. USING THE BASIC MULTIPLICATION TAB
      10. USING THE DISTRIBUTIVE PROPERTY TAB
      11. USING THE PRACTICE PROBLEMS TAB
      12. CONCLUSION
      13. REFERENCES
      14. ADDITIONAL READING
      15. KEY TERMS AND DEFINITIONS
    3. Chapter 14: Interactive Whiteboards
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. LITERATURE CONCERNING THE USE OF IWBS IN TEACHING SECONDARY MATHEMATICS
      4. CONNECTIONS TO TECHNOLOGICAL PEDAGOGICAL CONTENT KNOWLEDGE (TPACK)
      5. RECOMMENDED IWB INSTRUCTIONAL STRATEGIES TO USE IN SECONDARY MATHEMATICS METHODS COURSES
      6. SOLUTIONS AND RECOMMENDATIONS
      7. REFERENCES
      8. KEY TERMS AND DEFINITIONS
      9. ENDNOTES
    4. Chapter 15: Young Children, Mathematics, and Coding
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. MATHEMATICS IN A LOW FLOOR, HIGH CEILING, WIDE WALLS LEARNING ENVIRONMENT
      4. MODELLING MATHEMATICS RELATIONSHIPS WITH CODE
      5. LOOKING AHEAD
      6. ACKNOWLEDGMENT
      7. REFERENCES
      8. ADDITIONAL READING
      9. KEY TERMS AND DEFINITIONS
    5. Chapter 16: Leveraging Interactive Clickers as a Tool for Formative Assessment
      1. EXECUTIVE SUMMARY
      2. OVERVIEW
      3. A STUDENT’S VIEW
      4. EVALUATING THE INFLUENCE OF CLICKERS ON INSTRUCTION
      5. OVERVIEW
      6. SUMMARY OF FINDINGS
      7. IMPLICATIONS AND FUTURE DIRECTIONS
      8. CONCLUDING REMARKS
      9. ACKNOWLEDGMENT
      10. REFERENCES
      11. KEY TERMS AND DEFINITIONS
    6. Chapter 17: Mathematics Gaming in Early Childhood
      1. EXECUTIVE SUMMARY
      2. BACKGROUND
      3. OVERVIEW OF THE CASE STUDY
      4. TEACHER MOVES THAT ENHANCE LEARNING THROUGH ONLINE INSTRUCTIONAL GAMES
      5. SUMMARY
      6. REFERENCES
      7. KEY TERMS AND DEFINITIONS
      8. ENDNOTES
    7. Chapter 18: Using the AMC Anywhere Web-Based Assessment System to Examine Primary Students' Understanding of Number Sense
      1. EXECUTIVE SUMMARY
      2. FORMATIVE ASSESSMENT AND STUDENT LEARNING
      3. ASSESSING MATH CONCEPTS (AMC) ANYWHERE FORMATIVE ASSESSMENT TOOL
      4. A LOOK AT THE USE OF AMC ANYWHERE IN KINDERGARTEN
      5. DISCUSSION AND IMPLICATIONS
      6. REFERENCES
      7. KEY TERMS AND DEFINITIONS
  11. Section 4: Leveraging Technology to Support Mathematics Education Courses and Programs
    1. Chapter 19: Teaching and Learning the Common Core State Standards in Mathematics with Web 2.0 Tools
      1. EXECUTIVE SUMMARY
      2. ORGANIZATION BACKGROUND
      3. SETTING THE STAGE
      4. CASE DESCRIPTION
      5. CONCLUSION
      6. REFERENCES
      7. ADDITIONAL READING
      8. KEY TERMS AND DEFINITIONS
    2. Chapter 20: Contextualizing Algebraic Word Problems through Story Using Technology
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. TECHNOLOGY AND LEARNING
      4. MATHEMATICS AND LANGUAGE ARTS
      5. THE ALGEBRAIC ACTIVITY
      6. SOME ALGEBRAIC STORIES
      7. CONCLUSION
      8. REFERENCES
      9. ADDITIONAL READING
      10. KEY TERMS AND DEFINITIONS
    3. Chapter 21: The Synergism of Mathematical Thinking and Computational Thinking
      1. EXECUTIVE SUMMARY
      2. INTRODUCTION
      3. DEFINITIONS OF COMPUTATIONAL THINKING AND MATHEMATICAL THINKING
      4. MATHEMATICS’ ROLE IN COMPUTATIONAL THINKING
      5. INTERSECTING PRINCIPLES AND PRACTICES OF MATHEMATICAL AND COMPUTATIONAL THINKING
      6. APOS: A CONSTRUCTIVIST THEORY OF MATHEMATICAL THINKING AND COMPUTATIONAL THINKING
      7. CONCLUSION
      8. REFERENCES
      9. ADDITIONAL READING
      10. KEY TERMS AND DEFINITIONS
    4. Chapter 22: Application of Information and Communication Technology to Create E-Learning Environments for Mathematics Knowledge Learning to Prepare for Engineering Education
      1. EXECUTIVE SUMMARY
      2. BACKGROUND
      3. MOTIVATION
      4. DATA SOURCE
      5. METHODOLOGY AND APPLICATION
      6. CASE STUDY
      7. CONCLUSION
      8. REFERENCES
      9. KEY TERMS AND DEFINITIONS
  12. Compilation of References
  13. About the Contributors