Cross-sectional and incremental age effects on cognitive processes that underlie individual differences in components of working memory (WM; phonological loop, visual-spatial sketchpad, executive processing) and mathematical problem-solving accuracy were examined in elementary school children. A battery of tests was administered that assessed…

This article describes an interdisciplinary course that develops essential mathematical modeling skills within an introductory biology setting. The course embodies recent recommendations regarding the need for interdisciplinary, inquiry-based mathematical preparation of undergraduates in the biological sciences. Evaluation indicates that the…

A problem sometimes called Moser's circle problem where a circular region has to be partitioned with chords without any three chords intersecting at one point, is discussed. It is shown that Moser's circle problem makes the students to use a variety of mathematical tools to find correct solutions to problems and gives an opportunity to think about…

This paper made reference to some experimental and quasi-experimental studies that have been conducted with special education populations using direct instruction over the last decade. Evaluation research is a relatively new area in education and particularly in special education, while the focus on individualization of instruction and warring…

This paper made reference to some experimental and quasi-experimental studies that have been conducted with special education populations using direct instruction over the last decade. Evaluation research is a relatively new area in education and particularly in special education, while the focus on individualization of instruction and warring…

We report the results of a controlled evaluation of an interactive on-line tutoring system for high school math achievement test problem solving. High school students (N = 202) completed a math pre-test and were then assigned by teachers to receive interactive on-line multimedia tutoring or their regular classroom instruction. The on-line tutored…

Many students find it difficult to learn the kinds of knowledge and thinking required by college or high school courses in mathematics, science, or other complex domains. Thus they often emerge with significant misconceptions, fragmented knowledge, and inadequate problem-solving skills. Most instructors or textbook authors approach their teaching…

This booklet contains 51 abstracts of papers presented at the 1992 conference for the Research Council for Diagnostic and Prescriptive Mathematics (RCDPM). Topics covered include: the use of expressive writing to enhance metacognition, adult assessment, cooperative learning assessment, visualization in problem solving, deaf students' beliefs about…

Designing or making changes in things students use or wear is the challenge of this Unified Sciences and Mathematics for Elementary Schools (USMES) unit. The challenge is general enough to apply to many problem-solving situations in mathematics, science, social science, and language arts at any elementary school level (grades 1-8). The Teacher…

This Unified Sciences and Mathematics for Elementary Schools (USMES) unit challenges students to promote changes that will make eating in school more enjoyable. The challenge is general enough to apply to many problem-solving situations in mathematics, science, social science, and language arts at any elementary school level (grades 1-8). The…

The paper argues that a relationship between visualization and mathematical problem solving ability exists. Research suggests that visual imagery leads to increased understanding of mathematical concepts at both the primary and secondary levels. Mathematical potential is not necessarily "born." Potential can be created in the least likely students…

This volume has been assembled to show what can be learned about learning from large groups of children's responses to well-constructed assessment questions. The wide range of information gathered through the Basic Skills Testing Program (BSTP) has been divided into chapters that focus either on key aspects of mathematics or the major concerns of…

The Young Scholars' Program of the National Science Foundation is designed to stimulate and extend the interests in science and mathematics of students entering grades 7 through 12. An additional goal of the program is to encourage them to investigate and pursue careers in science, mathematics, engineering, and technology. The program strongly…

This paper presents two examples in which technology, in this case a fairly sophisticated authoring system--ToolBook, was used as a tool to construct student understandings in mathematics. In doing so, students were able: (1) to successfully identify the variables (unknowns) and the information given (data) in the problem; and (2) to create…

Factor analysis and Rasch measurement are compared, showing how they address the same data with different interpretations of numerical status. Both methods use the same estimation method, with different measurement models, and they solve the same problem, with different utility. Factor analysis is faulted for mistaking stochastic observations of…