Name: Reasoning by Mathematical Induction in Children's Arithmetic (en Inglés)
SKU: 18740176
Price: 186.87 USD
Availability: InStock
Author: Leslie Smith; L. Smith

portada Reasoning by Mathematical Induction in Children's Arithmetic (en Inglés)

Reasoning by Mathematical Induction in Children's Arithmetic (en Inglés)

Formato

Libro Físico

Editorial

Emerald Group Publishing Limited

Autor

Leslie Smith; L. Smith

Año

2002

Idioma

Inglés

N° páginas

188

Encuadernación

Tapa Dura

ISBN

0080441289

ISBN13

9780080441283

N° edición

Categorías

Estudios empresariales: general

Reasoning by Mathematical Induction in Children's Arithmetic (en Inglés)

Leslie Smith; L. Smith (Autor) · Emerald Group Publishing Limited · Tapa Dura

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Reseña del libro "Reasoning by Mathematical Induction in Children's Arithmetic (en Inglés)"

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.