Reasoning by Mathematical Induction in Children's Arithmetic

Name: Reasoning by Mathematical Induction in Children's Arithmetic
Brand: Emerald Publishing Limited
SKU: 9780080441283
Price: 761.87 RON
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Autor: Leslie Smith, L. Smith

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Legare: Copertă tare

Editura: Emerald Publishing Limited

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How do children understand reasoning by mathematical induction? Mathematical induction - Poincare's...

Informații despre carte

Autor

Leslie Smith, L. Smith

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2002

Pagini

188

EAN

9780080441283

ISBN

0080441289

Enbook ID

04490907

Editura

Emerald Publishing Limited

Greutate

444

Dimensiuni

156 x 234 x 12

Descriere completă

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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Reasoning by Mathematical Induction in Children's Arithmetic

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