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The Resource Advances in Mathematics Education Research on Proof and Proving : An International Perspective, edited by Andreas J. Stylianides, Guershon Harel, (electronic resource)
Advances in Mathematics Education Research on Proof and Proving : An International Perspective, edited by Andreas J. Stylianides, Guershon Harel, (electronic resource)
Resource Information
The item Advances in Mathematics Education Research on Proof and Proving : An International Perspective, edited by Andreas J. Stylianides, Guershon Harel, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Advances in Mathematics Education Research on Proof and Proving : An International Perspective, edited by Andreas J. Stylianides, Guershon Harel, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroombased issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall
 Language
 eng
 Edition
 1st ed. 2018.
 Extent
 1 online resource (XI, 301 p. 48 illus.)
 Contents

 Preface
 Theme 1: Epistemological Issues Related to Proof and Proving
 Chapter 1. Reflections on proof as explanation
 Chapter 2. Working on proofs as contributing to conceptualization  The case of IR completeness
 Chapter 3. Types of epistemological justifications, with particular reference to complex numbers, Chapter 4. Mathematical argumentation in elementary teacher education: The key role of the cultural analysis of the content
 Chapter 5. Toward an evolving theory of mathematical practice informing pedagogy: What standards for this research paradigm should we adopt?
 Theme 2: ClassroomBased Issues Related to Proof and Proving
 Chapter 6. Constructing and validating the solution to a mathematical problem: The teacher’s prompt
 Chapter 7. Addressing key and persistent problems of students’ learning: The case of proof
 Chapter 8. How can a teacher support students in constructing a proof?
 Chapter 9. Proof validation and modification by example generation: A classroombased intervention in secondary school geometry
 Chapter 10. Classroombased issues related to proofs and proving
 Theme 3: Cognitive and Curricular Issues Related to Proof and Proving
 Chapter 11. Mathematical argumentation in pupils’ written dialogues
 Chapter 12. The need for “linearity” of deductive logic: An examination of expert and novice proving processes
 Chapter 13. Reasoningandproving in algebra in school mathematics textbooks in Hong Kong
 Chapter 14. Irish teachers' perceptions of reasoningandproving amidst a national educational reform
 Chapter 15. About the teaching and learning of proof and proving: Cognitive issues, curricular issues and beyond
 Theme 4: Issues Related to The Use of Examples in Proof and Proving
 Chapter 16. How do preservice teachers rate the conviction, verification and explanatory power of different kinds of proofs?
 Chapter 17. When is a generic argument a proof?
 Chapter 18. Systematic exploration of examples as proof: Analysis with four theoretical frameworks
 Chapter 19. Using examples of unsuccessful arguments to facilitate students’ reflection on their processes of proving
 Chapter 20. Genericity, conviction, and conventions: Examples that prove and examples that don’t prove
 Isbn
 9783319709963
 Label
 Advances in Mathematics Education Research on Proof and Proving : An International Perspective
 Title
 Advances in Mathematics Education Research on Proof and Proving
 Title remainder
 An International Perspective
 Statement of responsibility
 edited by Andreas J. Stylianides, Guershon Harel
 Language
 eng
 Summary
 This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroombased issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall
 Dewey number
 370
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

 nJVmt_IXRaY
 sAj7OIThvOk
 Image bit depth
 0
 LC call number
 LC86691
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Stylianides, Andreas J.
 Harel, Guershon.
 Series statement
 ICME13 Monographs,
 http://library.link/vocab/subjectName

 Mathematics
 Study Skills
 Mathematics Education
 Teaching and Teacher Education
 Learning & Instruction
 Study and Learning Skills
 International and Comparative Education
 Label
 Advances in Mathematics Education Research on Proof and Proving : An International Perspective, edited by Andreas J. Stylianides, Guershon Harel, (electronic resource)
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references at the end of each chapters and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Theme 1: Epistemological Issues Related to Proof and Proving  Chapter 1. Reflections on proof as explanation  Chapter 2. Working on proofs as contributing to conceptualization  The case of IR completeness  Chapter 3. Types of epistemological justifications, with particular reference to complex numbers, Chapter 4. Mathematical argumentation in elementary teacher education: The key role of the cultural analysis of the content  Chapter 5. Toward an evolving theory of mathematical practice informing pedagogy: What standards for this research paradigm should we adopt?  Theme 2: ClassroomBased Issues Related to Proof and Proving  Chapter 6. Constructing and validating the solution to a mathematical problem: The teacher’s prompt  Chapter 7. Addressing key and persistent problems of students’ learning: The case of proof  Chapter 8. How can a teacher support students in constructing a proof?  Chapter 9. Proof validation and modification by example generation: A classroombased intervention in secondary school geometry  Chapter 10. Classroombased issues related to proofs and proving  Theme 3: Cognitive and Curricular Issues Related to Proof and Proving  Chapter 11. Mathematical argumentation in pupils’ written dialogues  Chapter 12. The need for “linearity” of deductive logic: An examination of expert and novice proving processes  Chapter 13. Reasoningandproving in algebra in school mathematics textbooks in Hong Kong  Chapter 14. Irish teachers' perceptions of reasoningandproving amidst a national educational reform  Chapter 15. About the teaching and learning of proof and proving: Cognitive issues, curricular issues and beyond  Theme 4: Issues Related to The Use of Examples in Proof and Proving  Chapter 16. How do preservice teachers rate the conviction, verification and explanatory power of different kinds of proofs?  Chapter 17. When is a generic argument a proof?  Chapter 18. Systematic exploration of examples as proof: Analysis with four theoretical frameworks  Chapter 19. Using examples of unsuccessful arguments to facilitate students’ reflection on their processes of proving  Chapter 20. Genericity, conviction, and conventions: Examples that prove and examples that don’t prove
 Dimensions
 unknown
 Edition
 1st ed. 2018.
 Extent
 1 online resource (XI, 301 p. 48 illus.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783319709963
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319709963
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)4100000001795220
 (DEHe213)9783319709963
 (MiAaPQ)EBC5219555
 (EXLCZ)994100000001795220
 Label
 Advances in Mathematics Education Research on Proof and Proving : An International Perspective, edited by Andreas J. Stylianides, Guershon Harel, (electronic resource)
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references at the end of each chapters and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Theme 1: Epistemological Issues Related to Proof and Proving  Chapter 1. Reflections on proof as explanation  Chapter 2. Working on proofs as contributing to conceptualization  The case of IR completeness  Chapter 3. Types of epistemological justifications, with particular reference to complex numbers, Chapter 4. Mathematical argumentation in elementary teacher education: The key role of the cultural analysis of the content  Chapter 5. Toward an evolving theory of mathematical practice informing pedagogy: What standards for this research paradigm should we adopt?  Theme 2: ClassroomBased Issues Related to Proof and Proving  Chapter 6. Constructing and validating the solution to a mathematical problem: The teacher’s prompt  Chapter 7. Addressing key and persistent problems of students’ learning: The case of proof  Chapter 8. How can a teacher support students in constructing a proof?  Chapter 9. Proof validation and modification by example generation: A classroombased intervention in secondary school geometry  Chapter 10. Classroombased issues related to proofs and proving  Theme 3: Cognitive and Curricular Issues Related to Proof and Proving  Chapter 11. Mathematical argumentation in pupils’ written dialogues  Chapter 12. The need for “linearity” of deductive logic: An examination of expert and novice proving processes  Chapter 13. Reasoningandproving in algebra in school mathematics textbooks in Hong Kong  Chapter 14. Irish teachers' perceptions of reasoningandproving amidst a national educational reform  Chapter 15. About the teaching and learning of proof and proving: Cognitive issues, curricular issues and beyond  Theme 4: Issues Related to The Use of Examples in Proof and Proving  Chapter 16. How do preservice teachers rate the conviction, verification and explanatory power of different kinds of proofs?  Chapter 17. When is a generic argument a proof?  Chapter 18. Systematic exploration of examples as proof: Analysis with four theoretical frameworks  Chapter 19. Using examples of unsuccessful arguments to facilitate students’ reflection on their processes of proving  Chapter 20. Genericity, conviction, and conventions: Examples that prove and examples that don’t prove
 Dimensions
 unknown
 Edition
 1st ed. 2018.
 Extent
 1 online resource (XI, 301 p. 48 illus.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783319709963
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319709963
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)4100000001795220
 (DEHe213)9783319709963
 (MiAaPQ)EBC5219555
 (EXLCZ)994100000001795220
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