Instruction of mathematical concepts through analogical reasoning skills
نویسندگان
چکیده
منابع مشابه
Analogical Instruction
analogical transfer, the present study systematically compared the effect of ing that animated source instruction facilitated spontaneous analogical inference. Analogical reasoning is a cognitive underpinning of the ability to notice and draw providing practical suggestions for classroom instruction. We first discuss. Learning, instruction, problem solving, transfer, analogical reasoning, instr...
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A challenge for any case-based reasoning system is how to acquire the cases with which to reason. Here we explore acquiring cases via natural language instruction by a person. We show how, using microstories (1-3 sentence stories) expressed in simplified English syntax, small cases – called common sense units – can be incrementally added to improve analogical reasoning performance.
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Analogical reasoning can shed light on both of the two key processes of creativity – generation and evaluation. Hence, it is a powerful tool for creativity. We illustrate this with three historical case studies of creative mathematical conjectures which were either found or evaluated via analogies. We conclude by describing our ongoing efforts to build computational realisations of these ideas.
متن کاملAnalogical Reasoning
Logical and analogical reasoning are sometimes viewed as mutually exclusive alternatives, but formal logic is actually a highly constrained and stylized method of using analogies. Before any subject can be formalized to the stage where logic can be applied to it, analogies must be used to derive an abstract representation from a mass of irrelevant detail. After the formalization is complete, ev...
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ژورنال
عنوان ژورنال: Indian Journal of Science and Technology
سال: 2012
ISSN: 0974-6846,0974-5645
DOI: 10.17485/ijst/2012/v5i6.12