Visualizing mathematics : the role of spatial reasoning in mathematical thought /: the role of spatial reasoning in mathematical thought. (2018)

• Record Type: Book
• Further Information: Note: Editors, Kelly S.S. Mix and Michael T. Battista.
• Editors: Mix, Kelly S; Battista, Michael T
• Contents: Intro; Foreword; References; Contents; Contributors; Part I: Psychological Perspectives; Chapter 1: How Much as Compared to What: Relative Magnitude as a Key Idea in Mathematics Cognition; Relative Magnitude in Mathematics Learning; Number Lines as Relative Magnitude; Proportional Reasoning; Fraction Learning; Relative Magnitude and Spatial Thinking; Spatial Scaling; Spatial Representations; Spatial Representations in Relative Magnitude Mathematics Tasks; Improving Children's Relative Magnitude Understanding; Conclusions; References Chapter 2: From Intuitive Spatial Measurement to Understanding of UnitsPart I: Intuitive Understanding of Extent; Part II: Transition to Understanding of Conventional Measurement; Part III: Training Interventions; Conclusion; References; Chapter 3: Spatial Reasoning: A Critical Problem-Solving Tool in Children's Mathematics Strategy Tool-Kit; Part 1: Spatial Processing and Arithmetic Strategy Choices; Relation Between Early Spatial Skills and Mathematics Achievement; Spatial Processing and Use of Higher Level Arithmetic Strategies Part 2: Development of Visualization Strategies Across Mathematics Content AreasRepresenting Fraction Magnitudes by Generating Mental Visual Arrays; Translating Verbal Descriptions into Visual Representations; Translating 2-d Representations into 3-d Mental Images and Vice Versa; Conclusion; References; Chapter 4: More Space, Better Mathematics: Is Space a Powerful Tool or a Cornerstone for Understanding Arithmetic?; Numbers and Space: A Long-Lasting Relation; Space and Numbers Live Next to Each Other; SNA: Not a Single Melting Pot; Numbers and Space: Fundamental Principles and Questions Grounded, Embodied, and Situated Influences on SNACorrelations of SNA and Arithmetic Skill and Potential Underlying Mechanisms; Causal Relations: What Can Be Derived from Training Studies? Implications and Caveats; A New Taxonomy for SNAs: How Different SNAs Have to Be Differentiated; Overview of the taxonomy; Category Extension SNA: Subcategory Approximate; Type and Paradigms; Situatedness; Correlations with Arithmetic Skill; Trainings; Category Extension SNA: Subcategory Exact; Type and Paradigms; Situatedness; Correlations with Arithmetic Skill; Trainings Category: Directional SNA with Implicit Coding: Subcategory CardinalitiesType and Paradigms; Situatedness; Correlations with Arithmetic Skills; Trainings; Category: Directional SNA with Implicit Coding: Subcategory-Ordinalities; Type and Paradigms; Situatedness; Correlations with Arithmetic Skill; Trainings; Category: Directional SNA with Implicit Coding: Subcategory Operations; Type and Paradigms; Situatedness; Correlations with Arithmetic Skill; Trainings; Category Directional SNA with Explicit Coding: Subcategory-Ordinalities; Type and Paradigms; Situatedness
• Publisher Details: Cham : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 510.71; Mathematics -- Study and teaching; Mathematics -- Charts, diagrams, etc; Digital images; MATHEMATICS / Essays; MATHEMATICS / Pre-Calculus; MATHEMATICS / Reference; Digital images; Mathematics; Mathematics -- Study and teaching; Electronic books; Charts, diagrams, etc
• Languages: English
• ISBNs: 9783319987675; 3319987674
• Related ISBNs: 9783319987668; 3319987666
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (EBSCO, viewed December 11, 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.