Chapter 1 Action and Cognition in Piaget’s Genetic Epistemology and in Hegel’s Logic

Chapter 2 Representation and Meaning

Chapter 3 Philosophical and Pedagogical Remarks on the Concept “Abstract”

Chapter 4 What is Mathematical Ability and How do Ability Differences Emerge in Mathematics Education?

Chapter 5 Mathematics Education and Society

Chapter 6 Preliminary Remarks on the Relationship of the Principles of Teaching Arithmetic to the Early History of Mathematics

Chapter 7 The Development of Arithmetical Thinking: On the Role of Calculating Aids in Ancient Egyptian and Babylonian Arithmetic

Chapter 8 The First Representations of Numbers and the Development of the Number Concept

Chapter 9 On the Relationship between Ontogenesis and Historiogenesis of the Number Concept

Chapter 10 Abstraction and Representation

Chapter 12 Tools of Science