One of the most fundamental strategies in mathematics instruction is practice problems because teachers know that practicing a skill improves performance. At the same time, teachers also know that just because students can correctly answer practice problems does not mean they fully understand the concept or how to apply a formula--especially not…

When students encounter a set of concepts (or terms or principles) that are similar in some way, they often confuse one with another. For instance, they might mistake one word for another word with a similar spelling (e.g., allusion instead of illusion) or choose the wrong strategy for a mathematics problem because it resembles a different kind of…

Most mathematics assignments consist of a group of problems requiring the same strategy. For example, a lesson on the quadratic formula is typically followed by a block of problems requiring students to use the quadratic formula, which means that students know the appropriate strategy before they read each problem. In an alternative approach,…

Two experiments examined conditional discrimination in 4- to 6-year-olds. Children learned to choose one of two objects (e.g., circle) when the background was, say, red and to choose the other object (e.g., triangle) when the background was, say, blue. Awareness was assessed and interpreted as a marker of relational processing. In Experiment 1,…

In this article, I discuss the concepts of "private stimuli," "covert responses," and "private events," emphasizing three aspects: the conditions under which private stimuli may acquire discriminative functions to verbal responses, the conditions of unobservability of covert responses, and the complexity of events or phenomena described as…

Second and sixth grade children solved a series of four-and eight-dimensional discrimination learning problems dictating selection of hypotheses which could be monitored by means of blank trials. Differential effects of stimulus complexity upon the performance of the two age groups are discussed. (GO)

The hypothesis testing abilities of 15 language impaired and 15 normally developing children matched for mental age were investigated using discrimination-learning tasks. Findings indicated the impaired children performed poorer than non-impaired children especially on the nonexplicit problems suggesting the deficits may be related to difficulties…

Research supported by research grant MH-03008 from NIMH, U.S. Public Health Service.

Strategies of kindergarten children in discrimination learning were studied in a factorial design with temporal placements of two introtact probes and two types of pretraining. Results support the expectation that the posttrial probe would improve the short-term efficiency of children in both pretraining conditions. (Author/MP)

A discrimination reversal problem was presented to 192 children varying in age from 3 to 5 years. At the end of both the initial learning and transfer trials, probe trials were introduced to ascertain the response rule describing children's choices. (Author/SB)

A specially designed discrimination learning task was used to investigate whether the performance of kindergarten and first grade children could be improved through explicit training with a simple hypothesis-testing strategy. (Author/MP)

The effectiveness of different training and transfer test conditions in promoting perceptual learning in impulsive kindergarten children was investigated. The results provide guidelines for designing effective training methods for improving discrimination learning and problem solving in impulsive children. (Author/SB)