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Artikelmerkmale
- Artikelzustand
- Book Title
- Advances in Mathematics Education Research on Proof and Proving :
- ISBN
- 9783319890258
Über dieses Produkt
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3319890255
ISBN-13
9783319890258
eBay Product ID (ePID)
26038752506
Product Key Features
Number of Pages
Xi, 301 Pages
Language
English
Publication Name
Advances in Mathematics Education Research on Proof and Proving : an International Perspective
Subject
Educational Psychology, Training & Certification, Research, Teaching Methods & Materials / Mathematics
Publication Year
2019
Type
Textbook
Subject Area
Mathematics, Education
Series
Icme-13 Monographs
Format
Trade Paperback
Dimensions
Item Weight
17.1 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Reviews
"The contents cover new trends and developments in mathematics education on proof and proving. ... will give readers an idea of what can be found in this volume." (Annie Selden, MAA Reviews, March 29, 2019), "The contents cover new trends and developments in mathematics education on proof and proving. ... will give readers an idea of what can be found in this volume." (Annie Selden,MAA Reviews, March 29, 2019)
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
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: Classroom-Based 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 classroom-based intervention in secondary school geometry.- Chapter 10. Classroom-based 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. Reasoning-and-proving in algebra in school mathematics textbooks in Hong Kong.- Chapter 14. Irish teachers' perceptions of reasoning-and-proving 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 pre-service 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.
Synopsis
Presents an extensive survey of international perspectives on proof and proving students' mathematics progress Serves as a comprehensive volume addressing a wide range of issues related to proof and proving in mathematics education research Offers important insights into the difficulties faced by students and teachers in this area, 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: Classroom-based 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.
LC Classification Number
QA10.92-20
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Great Book Prices Store
96,7% positive Bewertungen•1,4 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (386.676)
- e***l (5229)- Bewertung vom Käufer.Letzter MonatBestätigter KaufVery slow shipping but good communication and accurate grading
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