How we cause with mathematical rules is still a desirable and tough subject of research--particularly with the speedy and numerous advancements within the box of cognitive technology that experience taken position lately. since it attracts on a number of disciplines, together with psychology, philosophy, computing device technological know-how, linguistics, and anthropology, cognitive technological know-how presents wealthy scope for addressing matters which are on the middle of mathematical studying.
Drawing upon the interdisciplinary nature of cognitive technological know-how, this ebook offers a broadened standpoint on arithmetic and mathematical reasoning. It represents a circulate clear of the normal inspiration of reasoning as "abstract" and "disembodied", to the modern view that it truly is "embodied" and "imaginative." From this angle, mathematical reasoning contains reasoning with buildings that emerge from our physically reports as we engage with the surroundings; those buildings expand past finitary propositional representations. Mathematical reasoning is innovative within the experience that it makes use of a few strong, illuminating units that constitution those concrete studies and remodel them into types for summary proposal. those "thinking tools"--analogy, metaphor, metonymy, and imagery--play a big function in mathematical reasoning, because the chapters during this e-book exhibit, but their strength for reinforcing studying within the area has obtained little acceptance.
This publication is an try to fill this void. Drawing upon backgrounds in arithmetic schooling, academic psychology, philosophy, linguistics, and cognitive technology, the bankruptcy authors offer a wealthy and accomplished research of mathematical reasoning. New and interesting views are awarded at the nature of arithmetic (e.g., "mind-based mathematics"), at the array of strong cognitive instruments for reasoning (e.g., "analogy and metaphor"), and at the other ways those instruments can facilitate mathematical reasoning. Examples are drawn from the reasoning of the preschool baby to that of the grownup learner.
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Additional resources for Mathematical Reasoning: Analogies, Metaphors, and Images (Studies in Mathematical Thinking and Learning Series)
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