Advances in Learning and Instruction Series- Reasoning by Mathematical Induction in Children's Arithmetic
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Auteur:
Leslie Smith
L. Smith
- Engels
- Hardcover
- 9780080441283
- 21 augustus 2002
- 188 pagina's
Samenvatting
The central argument that Leslie Smith makes in this study is that reasoning by mathematical induction develops during childhood. The basis for this claim is a study conducted with children aged five to seven years in school years one and two.
How do children understand reasoning by mathematical induction? Mathematical induction - Poincare's reasoning by recurrence - is a standard form of inference with two distinctive properties. One is its necessity. The other is its universality or inference from particular to general. This means that mathematical induction is similar to both logical deduction and empirical induction, and yet is different from both. In a major study 40 years ago, Inhelder and Piaget set out two conclusions about the development of this type of reasoning in advance of logical deduction during childhood. This developmental sequence has gone unremarked in research on cognitive development. This study is an adaptation with a sample of 100 hundred children aged five-seven years in school years one and two. It reveals evidence that children can reason by mathematical induction on tasks based on iterative addition and that their inferences were made by necessity. According to the study the main educational implication is clear: young children can carry out iterative actions on actual objects with a view to reasoning about abstract objects such as numbers.
How do children understand reasoning by mathematical induction? Mathematical induction - Poincare's reasoning by recurrence - is a standard form of inference with two distinctive properties. One is its necessity. The other is its universality or inference from particular to general. This means that mathematical induction is similar to both logical deduction and empirical induction, and yet is different from both. In a major study 40 years ago, Inhelder and Piaget set out two conclusions about the development of this type of reasoning in advance of logical deduction during childhood. This developmental sequence has gone unremarked in research on cognitive development. This study is an adaptation with a sample of 100 hundred children aged five-seven years in school years one and two. It reveals evidence that children can reason by mathematical induction on tasks based on iterative addition and that their inferences were made by necessity. According to the study the main educational implication is clear: young children can carry out iterative actions on actual objects with a view to reasoning about abstract objects such as numbers.
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- Bindwijze
- Hardcover
- Oorspronkelijke releasedatum
- 21 augustus 2002
- Aantal pagina's
- 188
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Leslie Smith
- Tweede Auteur
- L. Smith
- Hoofdredacteur
- Liane Smith
- Hoofduitgeverij
- Pergamon Press
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- Extra groot lettertype
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- 156 mm
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- 12 mm
- Product lengte
- 234 mm
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- 156 mm
- Verpakking hoogte
- 12 mm
- Verpakking lengte
- 234 mm
- Verpakkingsgewicht
- 444 g
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- EAN
- 9780080441283
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