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Reasoning by Mathematical Induction in Children`s Arithmetic de Liane Smith

Reasoning by Mathematical Induction in Children`s Arithmetic: Advances in Learning and Instruction Series

Autor Liane Smith
en Limba Engleză Hardback – 20 aug 2002
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.
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Specificații

ISBN-13: 9780080441283
ISBN-10: 0080441289
Pagini: 188
Dimensiuni: 155 x 234 x 305 mm
Greutate: 0.44 kg
Ediția:New.
Editura: Emerald Publishing
Seria Advances in Learning and Instruction Series

Cuprins

Acknowledgements. Summary. Introduction. Mathematical Induction. Mathematical induction, logical deduction, and empirical induction. Poincaré's analysis of mathematical induction. Frege's and Russell's analysis of mathematical induction. Critical review. Conclusion. Reasoning by Mathematical Induction: Piaget's Critique. Piaget on the analysis of Frege and Russell. Piaget on Poincaré's analysis. Inhelder and Piaget's (1963) study. Conclusion. Research on the Development of Children's Reasoning. Reasoning. Deduction. Induction. Mathematical induction. Reasoning, Reasons and Responses. Critical method. Rationale for a critical method. Children's Reasoning by Mathematical Induction. Method. Results: statistical analysis of responses. Results: epistemological analysis of reasons for responses. Conservation task. Teams tasks. Recurrence task. Discussion. Hypotheses. Developmental mechanism. Educational Implications in a Constructivist Model of Education. Piaget's model of education. Educational implications in a constructivist pedagogy. Commentary by Damon Berridge. References. Boxes, figures, tables.