Linear pattern is the primary material in learning number patterns in junior high schools, but there are still many students who fail to generalize the linear pattern. The students' failure in generalizing the pattern occurred when the students ended to view the problems globally without breaking them into the constructors' components such as the…

A common activity in school mathematics is to derive a function from a table of values. There are two general strategies one might adopt to determine the function f. First, one might try to determine a connection between a particular n and f(n), and then evaluate whether it holds for other values of n. An alternative strategy would be to look for…

Models and modeling are frequently used as instructional tools in science education to convey important information concerning both the explanatory and structural features of topic areas in science. The efficacy of models as such rests almost entirely upon students' ability to conceptualize them as abstracted "representations" of…

Computer learners often develop explanations of events they observe during training. Recent work on generalization suggests that explanations may be valuable in permitting learners to develop generalizations from one or a few examples. This study explores the idea by describing four generalization paradigms in which explanations play a part:…

This research review examines the effects of instructional variables on the learning of handicapped and nonhandicapped individuals. The research review begins with an historical look at learning disabilities research. An overall analysis of the differential effects of instructional variables on learning-disabled and nonhandicapped individuals…

Examined the problem-solving strategies of above average students (n=42) in grades 2-4 on problems involving forgotten or new material while practicing arithmetic with a computer. Identified the different problem-solving strategies used, sorted them into categories, and illustrated them with examples from students' protocols. Made suggestions for…

Elaborates the final step of Polya's heuristic model, reflecting, to improve students' problem-solving performance. After checking answers for accuracy, the following steps are suggested: (1) test reasonableness and practicality; (2) write a summary paragraph; (3) find other solutions; (4) change the conditions; and (5) extend the problem. (MKR)