A series of six experiments was conducted to increase understanding of human performance on diagnostic tasks, and in the process to investigate the feasibility of using context-free computer-based simulations to train troubleshooting skills. Three simulated diagnostic tasks were developed: a simple context-free task, a complex context-free task,…

In 5 experiments, assessments were made of subjects' understandings of the dynamics of wheels. The subjects--111 undergraduates and 19 high school physics teachers--made highly erroneous dynamical judgments about this commonplace event, both in explicit problem-solving contexts and when viewing ongoing events. Findings are related to accounts of…

Urban Canadian sixth-graders (n=84) were tested on 80 arithmetic word problems developed as part of a larger set to reflect individual differences in problem solving. Problems varied in complexity of language and amount of extraneous information present. Results indicated substantial internal consistency and concurrent validity relative to…

The IRT (Item Response Theory) has been studied and applied in computer-based test for decades. However, almost of all these existing studies evaluated focus merely on test questions with text-based (or static text/graphic) type of presentation form illustrated exclusively. In this paper, we present our study on test questions using both…

It is generally considered that diagram use aids efficacy of math word problem solving. While understanding diagrams is considered important in both New Zealand and Japanese secondary schools, there is an additional emphasis in New Zealand schools for students to appreciate their use as tools for problem solving and communication. This study…

The comprehension processes of adult students solving two-step problems of comparison were studied using eye-movement experiments based on the assumption that eye fixations are synchronous with internal cognitive processes. Twenty university students each solved 24 two-step mathematical word problems of three sentences each with consistent…

Six tips for increasing student problem-solving skills are offered in this teacher fact sheet. Puzzles and simulations matched to student mental maturity and general knowledge are recommended as activities for helping students think more flexibly and practice higher order thinking skills. In addition, four suggestions are given for controlling…

High school students (N=213) of various ability levels enrolled in first-year algebra classes were presented lessons concerning geometry concepts. The lessons were varied according to the degree of complexity of the examples that were presented. Students then were tested over their understanding of the concepts. The test questions ranged from…

Problem-solving performance and goal-setting behavior were investigated in 156 undergraduates who, on Mehrabian's Achievement Scales, demonstrated either the motive to approach success or the motive to avoid failure. Different expectations of success or failure were induced by fictitious preperformance information. The degree of success or failure…

This study attempted to identify the things that help elementary school students solve verbal problems. Among the types of things included for examination were: the attributes of problems, the tools used, and the problem transformations that were possible. The summary of findings is comprised of 29 diverse types of statements grouped under four…

The relationships between the characteristics of human tasks and the abilities required for task performance are investigated. The goal of the program is to generate principles which can be used to identify ability requirements from knowledge of the characteristics of a task and of variations in the conditions of task performance. Such knowledge…

Variation in syntactic difficulty in arithmetic problems is studied to determine its influence on students' ability to solve problems correctly. Findings in a study of elementary school students indicated syntactic difficulty affects problem solving ability, regardless of sex (f=fiche number). (MH)

Presents findings from five studies measuring students' attitudes towards mathematics, perception of performance, perception of the importance of mathematical problem solving, and perception of problem difficulty. The interaction of affect and cognition and the implications for assessing and teaching mathematical problem solving to students with…

Hypothesized that arithmetic calculating procedures and types of problems that necessitate more subproblems will lead to longer solution times. Data from 36 third grade students who mentally computed problems with sums greater than 20 and less than 100, confirmed both hypotheses. (RH)