Culture and Cognitive Development: Studies in Mathematical Understanding

Contents: Part I: Culture and Cognition: A Method of Study. Culture and Cognitive Development. A Research Approach. Part II: Component 1: Emergent Mathematical Goals. Parameter 1: The Structure of the Candy-selling Practice. Parameters 2 and 3: Social Interactions and Practice-linked Artifacts and Conventions -- A Focus on the Sell Phase. Parameters 2 and 3: Social Interactions and Practice-linked Artifacts and Conventions -- A Focus on the Purchase Phase. Parameter 4: Sellers' Emergent Mathematical Goals and Their Prior Understandings. Emergent Mathematical Goals of the Practice: A Summary and Discussion of the First Analytic Component Applied to the Candy-selling Practice. Part III: Component 2: Form-Function Shifts in Candy Sellers' Mathematics. The Influence of Practice Participation on Sellers' Mathematics. The Development of Sellers' Mathematics. Form-function Shift in Sellers' Mathematics: Links Between Components 1 and 2. Part IV: Component 3: The Interplay Between Learning in and out of School. Some Contrasts Between Mathematics of the School and of the Candy-selling Practice. The Influence of Schooling on Sellers' Mathematics. The Influence of Selling Experience on Learning Mathematics in School. Appropriation and Specialization in the Practice. Part V: Culture and Cognitive Development. Epilogue. Appendices: Recruitment of Sellers. Background Information on Sellers and Their Practice. Extended Description of Tasks.