Examined were the relationships between three qualities: students' knowledge of chemical terms, the relationships they recognize between these terms, and their achievement. Used were an explanation test, an achievement test, and a connectivity test. Results indicated knowledge of terms was a necessary, but not sufficient, prerequisite for…

From 1984 through 1988, the authors worked with teachers using an inquiry approach to teach high school geometry courses with the aid of the "Geometric Supposers." Problems are a critical component of the approach because they focus attention and energy and guide students in the application, integration, and extension of knowledge.…

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…

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)

Examines whether verbal problem-solving skills in a group of fourth graders would improve if they were specifically taught how to generate their own diagrams when solving word problems. Classifies textbook word problems into three general types and describes them: (1) tabular; (2) geometric; and (3) contingency diagraming. (YP)

Explored are responses of students aged 9 to 13 to linear generalizing problems from both a technical and strategic point of view. The methods commonly used were the same in all age groups and across all three questions, although some students choosing each model varied. (YP)

Examined the effects of an instructional method used to remedy students' difficulties caused by fragmented and incorrectly interpreted knowledge. Described the method using explicit concept-interpretation procedures. Finds that the method helped to revise students' deficient prior knowledge about acceleration, and helped them to interpret it…

This project was designed to: (1) assess 7th-graders' metacognitive beliefs and processes and investigate how they affect problem-solving behaviors; and (2) explore the extent to which these students can be taught to be more strategic and aware of their own problem-solving behaviors. The primary assessment was conducted by analyzing video tapes of…

The Oregon Vo-Tech Math Project is designed to provide verbal problem sets for use in vocational education programs in secondary schools and community colleges. A subset of the problem booklets was subjected to evaluation in 12 secondary schools and 7 community colleges in an effort to make the materials more meaningful to students, improve…

Describes an exploratory investigation of how children reacted to problems with missing, surplus or contradictory data. It was found that the majority of children gave unsatisfactory answers to such problems. (PK)

The purpose of this study was to examine the relationships between classroom instructional practices and computation and geometry achievement. Relationships between mathematics achievement and classroom characteristics were also explored. The sample of 1,032 students and their teachers (n=147) was selected from the 1992 Trial State Mathematics…

This study examines the construct of problem representation and the processes used by learners to construct or modify problem representations in problem-solving situations. Students (n=14) from freshman calculus courses at the University of California at San Diego participated in videotaped interviews in which they were asked to think aloud as…

This report attempts to discover how students think about and use mathematics in open-ended questions. Part I, "Open-ended Questions in Mathematics," describes the rationale for adding open-ended questions to the grade 12 mathematics test of the California Assessment Program (CAP). Part II describes the findings from students' responses…

The IMMEX (Interactive Multi-Media Exercises) Web-based problem set platform enables the online delivery of complex, multimedia simulations, the rapid collection of student performance data, and has already been used in several genetic simulations. The next step is the use of these data to understand and improve student learning in a formative…

A comparative analysis is presented of adolescent participation in three-person family problem-solving groups, involving five families with an adolescent diabetic and three families with an adolescent with no diagnosed illness. Observation and interaction analysis of family problem-solving in a laboratory setting were used, as families were asked…