The psychology of learning mathematics
This classic text presents problems of learning and teaching mathematics from both a psychological and mathematical perspective. " The Psychology of Learning Mathematics, " already translated into six languages (including Chinese and Japanese), has been revised for this American Edition to include the author's most recent findings on the formation of mathematical concepts, different kinds of imagery, interpersonal and emotional factors, and a new model of intelligence. The author contends that progress in the areas of learning and teaching mathematics can only be made when such factors as the abstract and hierarchical nature of mathematics, the relation to mathematical symbolism and the distinction between intelligent learning and rote memorization are taken into account and instituted in the classroom.
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ability able abstraction achieve activity adaptability algebra already angle answer appropriate schema asked assimilated become behaviour behaviourist called category error Chapter cognitive cognitive map communication concept map conceptual structure connect mathematical construction context delta-one delta-two described diagram director system discussion emotions equation example experience faux ami frontier zone function given ideas important individual input instrumental intelligent learning intuitive involved knowledge learner learning mathematics learning of mathematics learning situation manipulating mathe mathematical concepts mathematical education mathematicians matter meaning mental model method methodology mode multiplication natural numbers notation objects one's operands particular physical plans of action present problem properties pupils question reader reason reflective relational mathematics relational understanding represent result rote learning rule Skemp stage symbol system task teacher teaching tion type 1 theories verbal visual words Yerkes-Dodson law