Mathematics, Education, and Other Endangered Species From Intuition to Inhibition /

This book examines the critical roles and effects of mathematics education. The exposition draws from the author's forty-year mathematics career, integrating his research in the psychology of mathematical thinking into an overview of the true definition of math. The intention for the reader is...

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Bibliographische Detailangaben
1. Verfasser: Vinner, Shlomo (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Cham : Springer International Publishing, 2018.
Ausgabe:1st ed. 2018.
Schriftenreihe:Mathematics in Mind,
Schlagworte:
Mathematics.
Social sciences.
Mathematics-Study and teaching .
ISBN:9783319900353
ISSN:2522-5405
Online-Zugang: Volltext
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Inhaltsangabe:
  • 1. Is Mathematics Required in Real-Life Situations?- 2. What is Mathematics for?- 3. Can Scientific Thinking help us cope with our Existential Problems? Can Religious Thinking help us cope with our Existential Problems?- 4. Concept Formation in Mathematics: Concept Definition and Concept Image
  • 5. The Misconception Fallacy, the Pseudo-conceptual and the Pseudo-analytical Behaviors in Mathematical Contexts
  • 6. The Pseudo-conceptual Behavior in Contexts Outside the Mathematics Classroom
  • 7. Can E-learning (Computer-Based Learning) Replace Teacher-Student Individual Communication?- 8. What is Mathematics?- 9. The Role of Examples in the Learning of Mathematics and in Everyday Thought Processes
  • 10. Imagination Acts
  • 11. The Wonders of Infinity and its Weirdness
  • 12. Mathematics, Educational Values, and Intellectual Values
  • 13. What Are Elementary Mathematics Teachers Expected to Know?
  • 14. Proofs by Contradiction or Isn't this an Absurdity?- 15. Visually Moderated Sequences
  • 16. Common Sense Versus Science and Theology
  • 17. Rationality
  • P1. About the Subtitle "From Intuition to Inhibition"
  • P2. The Potential Readers of The Book
  • P3. An Opportunity for a Corrective Experience for Those who Carry ENgative Memories from Their Mathematics Learning in School
  • P4. About Reflection.

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