Exploring the integer addition and subtraction landscape : perspectives on integer thinking /: perspectives on integer thinking. ([2018])

• Record Type: Book
• Further Information: Note: Laura Bofferding, Nicole M. Wessman-Enzinger.
• Editors: Bofferding, Laura; Wessman-Enzinger, Nicole M
• Contents: Intro; Dedication; Preface; Connecting Pathways Across the Integer Addition and Subtraction Landscape; Why Focus on Integers Now?; Let's Begin!; Acknowledgements; Contents; Contributors; Part I: Beginning the Journey: Children's Thinking About Integer Addition and Subtraction; Chapter 1: Playing with Integer Concepts: A Quest for Structure; Conceptual Change; Our Data; Number Path Task; Integer Arithmetic Task; What Is an Instance of Play?; Number Path Results; Playing Around with Whole Numbers; Discussion of Whole Number Play; Playing Around with Negatives; Discussion: Negative Number Play Arithmetic ResultsStudents Who Only Included Whole Numbers on the Number Path; Students Who Included Negatives on the Number Path; Making Space for Learning; Appendix; References; Chapter 2: Integer Play and Playing with Integers; Elements of Play; Imaginative Play Supports Thinking and Learning About Integers; Context of the Study; Integer Play; Integer Play: Addition of Integers; Integer Play: Subtraction of Integers; Integer Play: Counterbalance; Integer Play: Minus Sign Versus Negative Sign; Playing with Integers; Playing with Integers: Order Versus Magnitude Playing with Integers: PermutationsPlaying with Integers: Zero; Discussion; Integer Play as a Way to Bring Integers to Curriculum Sooner; Integer Play and Playing with Integers as a Way to Prolong Play in Schools; Playing with Integers as an Equity Tool; Integer Play and Playing with Integers as a Space for Future Research; Conclusion; References; Chapter 3: Students' Thinking About Integer Open Number Sentences; Connections to Theory and Building From Existing Research; Conceptual Framework; Study Background and Methods; Participants; Problem-Solving Interview; Analysis; Findings Common Strategies Within Ways of ReasoningDiscussion and Implications; Connecting Key Mathematics to Student Strategies; Final Thoughts; Appendix; Problem-Solving Interview; References; Part II: Multiple Pathways: Models and Metaphors for Integer Addition and Subtraction; Chapter 4: Teaching Integers to Students with Disabilities: Three Case Studies; Research on Teaching Integers; Teaching Integers to Students with Mathematical Disabilities and Difficulties; Context; Integers Instructional Sequence; Methodology; Theoretical Perspective; Data Collection and Analysis; Pre-interviews Introducing NathanIntroducing Seth; Introducing Stuart; Implications of Pre-interview Results for Instruction; Case Studies; Classroom Mathematical Practice One; Classroom Mathematical Practices Two and Three; Classroom Mathematical Practice Four; Classroom Mathematical Practice Five; Post-Interviews; Conclusion; References; Chapter 5: Take It Away or Walk the Other Way? Finding Positive Solutions for Integer Subtraction; Integer Arithmetic and Instructional Model Research; Integer Arithmetic Knowledge; Instruction of Integer Subtraction and Addition Using Models; Theoretical Influences
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 372.7; Education; Addition -- Study and teaching (Elementary); Subtraction -- Study and teaching (Elementary); Mathematics; EDUCATION / Elementary; Education -- Educational Psychology; Teaching skills & techniques; Education -- Teaching Methods & Materials -- Mathematics; Teaching of a specific subject; Electronic books
• Languages: English
• ISBNs: 9783319906928; 3319906925
• Related ISBNs: 9783319906911
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (EBSCO, viewed August 29, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.