Reasoning by Mathematical Induction in Children's Arithmetic

Name: Reasoning by Mathematical Induction in Children's Arithmetic
Brand: Emerald Publishing Limited
SKU: 9780080441283
Price: 152.17 EUR
Availability: InStock

Автор: Leslie Smith, L. Smith

Език:

Корици: С твърди корици

Издател: Emerald Publishing Limited

Наличност: Външен склад

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

Информация за книгата

Автор

Leslie Smith, L. Smith

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2002

страници

188

EAN

9780080441283

ISBN

0080441289

Enbook ID

04490907

Издател

Emerald Publishing Limited

Теглоt

444

Размери

156 x 234 x 12

Пълно описание

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

Информация за книгата

Пълно описание

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