Street mathematics and school mathematics/
| Main Author: | |
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| Other Authors: | , |
| Format: | Book |
| Language: | English |
| Published: |
Cambridge ; New York:
Cambridge University Press,
c1993
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| Series: | Learning in Doing (Cambridge University Press)
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| Subjects: |
Table of Contents:
- Preface
- Series foreword
- 1. What is street mathematics?
- Introductio n
- The significance of street mathematics
- Social factors in the emerge nce of street mathematics
- Plan of the book
- 2. Arithmetic in the stree ts and in schools
- Introduction
- The cultural context
- The empirical st udy
- Subjects
- Procedure
- Results and discussion
- Further questions
- 3. Written and oral arithmetic
- Introduction
- The empirical study
- Subjec ts
- Procedure
- Results and discussion
- Conclusions and further question s
- 4. Situational representation in oral and written mathematics
- Intro duction
- Different views of schooling and cognitive development
- Fieldw ork in mathematics: farmers and students
- Carpenters and apprentices: a rithmetic for the shop and for school conclusions
- 5. Situational and m athematical relations: a study on understanding proportions
- Introducti on
- A psychological analysis of the concept of proportions
- Foremen an d students: social and learning contrasts
- Solving problems about propo rtions
- Conclusions
- 6. Reversibility and transfer in the schema of pro portionality
- Proportionality in fishermen's everyday life
- Catching, p rocessing, and selling fish
- Seafood and other foods
- Hypothetical moek h for fishermen's knowledge of proportions
- Reversibility and transfer of fishermen's knowledge of proportions
- Inversion and transfer of prop ortional relations in isomorphism of measures situations
- Preservation of meaning in out-of-school strategies tosolve proportions problems
- A contrast between solving problems about fishing and about agriculture
- Strategies in solving proportions problems in and out of school
- Conclu sions
- 7. Reflections on street mathematics in hindsight
- Psychology an d street mathematics
- Defining mathematical activities
- Psychological p rocesses in mathematizing situations
- Lessons for education
- Street mat hematics in the classroom
- Street mathematics, school mathematics, and critical thinking
- Final comments
- References
- Index