The Legacy of Felix Klein

I Introduction.- Felix Klein - Mathematician, Academic Organizer, Educational Reformer.- What is or what might be the legacy of Felix Klein?.- II . Functional Thinking.- Functional thinking: The history of a didactical principle.- Teachers' meanings for function and function notation in south korea and the United States.- Is the real number line something to be built, or occupied?.- Coherence and fidelity of the function concept in school mathematics.- Strand III: Intuitive thinking and visualization.- Aspects of "Anschauung" in the work of Felix Klein.- The road of the german book praktische analysis into japanese secondary school mathematics textbooks (1943-1944).- An influence of the felix klein movement on the far east.- Felix Klein's mathematical heritage seen through 3D models.- The modernity of the meraner lehrplan for teaching geometry today in grades 10-11: Exploiting the power of dynamic geometry systems.- IV. Elementary mathematics from a higher standpoint-conception, realization, and impact on teacher education.- Klein's conception of ''Elementary Mathematics from a Higher Standpoint'.- Precision mathematics and approximation mathematics: the conceptual and educational role of their comparison.- Examples of Klein's practice elementary mathematics from a higher standpoint: volume I.- A double discontinuity and a triple approach: felix klein's perspective on mathematics teacher education.