Solution: Psychologists interested in learning theory study learning curves. A learning

Chapter 7, Problem 15

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Psychologists interested in learning theory study learning curves. A learning curve is the graph of a function , the performance of someone learning a skill as a function of the training time . The derivative represents the rate at which performance improves. (a) When do you think increases most rapidly? What happens to as increases? Explain. (b) If is the maximum level of performance of which the learner is capable, explain why the differential equation dP dt kM P k a positive constantis a reasonable model for learning. (c) Make a rough sketch of a possible solution of this differential equation.

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