The Legacy of Felix Klein by Weigand, McCallum & Menghini
The Legacy of Felix Klein - Table of Contents
- PART-I INTRODUCTION
- 1. Felix Klein—Mathematician, Academic Organizer, Educational Reformer and biographical history academic organizing göttingen school
- 2. What Is or What Might Be the Legacy of Felix Klein? and educational reforms enduring impact mathematics curriculum
- PART-II FUNCTIONAL THINKING
- 3. Functional Thinking: The History of a Didactical Principle and function concept history didactics school algebra
- 4. Teachers' Meanings for Function and Function Notation and function notation teacher understanding pedagogical knowledge
- 5. Is the Real Number Line Something to Be Built, or Occupied? and real number line continuum continuum construction
- 6. Coherence and Fidelity of the Function Concept in School Mathematics and curriculum coherence function definition pedagogical fidelity
- PART-III INTUITIVE THINKING AND VISUALIZATION
- 7. Aspects of "Anschauung" in the Work of Felix Klein and anschauung spatial intuition visual geometry
- 8. Introducing History of Mathematics Education Through Its Actors and history of mathematics education key historical actors
- 9. The Road of Praktische Analysis into Japanese Textbooks and praktische analysis japanese mathematics textbooks history
- 10. Felix Klein's Heritage Seen Through 3D Models and 3D mathematical models physical geometric surfaces visualization
- 11. The Modernity of the Meraner Lehrplan for Teaching Geometry and meraner lehrplan geometry curriculum reform
- PART-IV ELEMENTARY MATHEMATICS FROM A HIGHER STANDPOINT
- 12. Klein's Conception of Elementary Mathematics from a Higher Standpoint and higher standpoint advanced mathematics elementary connection
- 13. Precision Mathematics and Approximation Mathematics and precision vs approximation numerical reasoning applied math
- 14. Examples of Klein's Practice of Elementary Mathematics and practical examples calculus pedagogy geometry exercises
- 15. A Double Discontinuity and a Triple Approach and double discontinuity teacher education university school transition
What You Will Learn in The Legacy of Felix Klein
In this 15-chapter edition of The Legacy of Felix Klein, editors Hans-Georg Weigand, William McCallum, Marta Menghini, and international collaborators explore the historical impact and ongoing educational relevance of Felix Klein. Structured across fifteen specialized chapters divided into four main parts, this volume examines Klein's academic legacy, the didactical history of functional thinking, concept fidelity in school mathematics, Klein's notion of intuition (Anschauung), historical textbook adaptations, 3D geometric models, the Meraner Lehrplan, precision versus approximation mathematics, and the double discontinuity in teacher education.
Designed for research mathematicians, historians of mathematics, curriculum specialists, and teacher educators, this volume bridges Klein's late-19th and early-20th-century visionary reforms with modern STEM teaching. Readers are guided step-by-step through analyzing Klein's epistemological approach to geometry, the integration of practical analysis into school curricula, and strategies for connecting university-level mathematics with secondary school instruction.
Renowned for its historical precision, pedagogical relevance, and international scholarly breadth, this volume stands as an indispensable reference for researchers seeking an authoritative the legacy of felix klein by weigand mccallum menghini pdf for academic research and teacher preparation. It systematically equips educators with formal historical and pedagogical tools for mastering Klein's educational vision with confidence.
Book Details & Specifications
Title:
The Legacy of Felix Klein by Weigand, McCallum & Menghini
Publisher:
Springer
Year:
2019
Pages:
225
Type:
PDF
Language:
English
ISBN-10 #:
3319993879
ISBN-13 #:
978-3319993874
License:
CC BY 4.0
Amazon:
Amazon
About the Author: Hans-Georg Weigand
The author Hans-Georg Weigand
, William McCallum, and Marta Menghini are internationally recognized scholars in mathematics education, history of mathematics, and curriculum design.
Representing academic institutions across Germany, the United States, and Italy, the editors have published extensively on geometry instruction, functional thinking, and pedagogical history, providing an essential the legacy of felix klein by weigand mccallum menghini pdf resource for mathematics educators globally.
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