The psychology of learning mathematics

Contents: Part A:Introduction and Overview.The Formation of Mathematical Concepts. The Idea of a Schema. Intuitive and Reflective Intelligence. Symbols. Different Kinds of Imagery. Interpersonal and Emotional Factors. Part B:A New Model of Intelligence.From Theory into Action: Knowledge, Plans, and Skills. Type 1 Theories and Type 2 Theories: From Behaviorism to Constructivism. Mathematics as an Activity of Our Intelligence. Relational Understanding and Instrumental Understanding. Goals of Learning and Qualities of Understanding. Communicating Mathematics: Symbolic Understanding. Emotions and Survival in the Classroom. The Silent Music of Mathematics.