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Reasoning by Mathematical Induction in Children's Arithmetic
Liane . Ed(S): Smith
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Description for Reasoning by Mathematical Induction in Children's Arithmetic
Hardback. 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. Editor(s): Smith, Liane. Series: Advances in Learning and Instruction. Num Pages: 188 pages, Illustrations. BIC Classification: JMC; JNC. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 12. Weight in Grams: 444.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2002
Publisher
Emerald Group Publishing Limited United Kingdom
Number of pages
188
Condition
New
Series
Advances in Learning and Instruction
Number of Pages
188
Place of Publication
London, United Kingdom
ISBN
9780080441283
SKU
V9780080441283
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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