Mathematical problem solving : current themes, trends and research /: current themes, trends and research. ([2019])

• Record Type: Book
• Further Information: Note: Peter Liljedahl, Manuel Santos-Trigo, editors.
• Editors: Liljedahl, Peter, 1967-; Santos-Trigo, Manuel
• Contents: Intro; Contents; Introduction; Problem Solving Heuristics; 1 "Looking Back" to Solve Differently: Familiarity, Fluency, and Flexibility; 1.1 Conceptual Framework; 1.1.1 Problem-Solving Process; 1.1.2 Problem Solving Using Multiple Solution Methods; 1.2 Methodology; 1.3 Findings; 1.3.1 Familiarity; 1.3.2 Fluency; 1.3.3 Flexibility; 1.4 Conclusions and Discussions; References; 2 Future-Oriented Thinking and Activity in Mathematical Problem Solving; 2.1 Introduction; 2.1.1 A Digression on Terminology; 2.2 Foresight and Episodic Future Thinking; 2.2.1 Mathematical Foresight 2.2.2 Students Engaging with Mathematical Foresight2.3 Methods; 2.4 Results; 2.4.1 Sphere of Resolution; 2.4.2 Resolution Trajectory; 2.4.3 Discussion of Results from Student Interviews; 2.5 Overall Discussion; References; Problem Solving and Technology; 3 A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems; 3.1 Introduction; 3.2 Theoretical Background; 3.2.1 Solving-and-Expressing: An Overall Concept; 3.2.2 Developing a Model of Mathematical Problem Solving with Technology; 3.3 Research Method; 3.4 Data Analysis and Results 3.4.1 Marco's Processes in Solving a Mathematical Problem with Technology Based on the Digital Solution3.4.2 Marco's Processes in Solving a Mathematical Problem with Technology Based on the Observed Activity; 3.4.3 A Summary of the Processes Involved in Solving-and-Expressing Mathematical Problems with Technology; 3.5 Discussion and Conclusions; References; 4 Mathematical Problem Solving and the Use of Digital Technologies; 4.1 Introduction; 4.1.1 Technology in Society and Its Importance in Education; 4.1.2 Learning Environments and the Coordinated Use of Digital Technologies 4.2 A Focus on Problem-Solving Activities4.2.1 On the Use of Technology to Construct and Explore Dynamic Models; 4.2.2 Technology Affordances and Mathematical Explorations; 4.3 Problems as a Departure Point to Engage Students in Mathematical Thinking; 4.4 Towards a Categorization of Mathematical Problems and the Use of Technology; 4.4.1 Problem Statements and Embedded Figures; 4.4.2 Investigations Tasks; 4.4.3 A Variation Task; 4.4.4 The Construction of a Dynamic Configuration and Problem Posing Activities; 4.5 Reflection and Closing Remarks; References 5 The Spreadsheet Affordances in Solving Complex Word Problems5.1 Introduction; 5.2 Theoretical Background; 5.2.1 Informal Versus Formal Methods in Problem Solving; 5.2.2 Problem Solving in the Development of Algebraic Thinking; 5.2.3 The Spreadsheet in Algebraic Problem Solving; 5.3 Context and Method; 5.4 Results; 5.4.1 Solution 1; 5.4.2 Solution 2; 5.4.3 Solution 3; 5.5 Discussion and Conclusion; References; Inquiry and Problem Posing in Mathematics Education; 6 Is an Inquiry-Based Approach Possible at the Elementary School? 6.1 Inquiry-Based Learning: An Inquiry Processes That Is Difficult to Implementation in Classroom
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Extent: 1 online resource (xi, 362 pages)
• Subjects: 510; Problem solving; Mathematics -- Study and teaching; Electronic books
• Languages: English
• ISBNs: 9783030104726; 3030104729
• Related ISBNs: 3030104710; 9783030104719
• Notes: Note: Includes bibliographical references.; Note: Description based on online resource; title from digital title page (viewed on March 19, 2019).
• 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.