Eighteen undergraduates were given a standard manufacturing textbook and 18 a text in which major concepts were expressed as mathematical equations. The mathematical text enhanced ability to recall concepts and apply them in context. However, transfer of concepts to different concepts was not affected by type of text. (SK)

Normally achieving students (n=119) and students with mild handicaps (n=83) in grades 3-6 were instructed to create and answer computation items similar to samples given. Students with mild handicaps understood item characteristics enough to create like items, though averaging three years behind normal achievers. A sample instructional activity is…

Seventh-grade students (n=397) were studied to determine the effect on immediate achievement and retention of a unit designed to promote the development of estimating skills involved in metric measuring. Identical metric instruction was used with the exception of activities in estimation for the treatment group. The treatment group retained…

This problem-solving activity book offers tools for attacking problems in the classroom and beyond (a reproducible card set explaining problem-solving skills, a math problem-solving grid, problem-solving lessons in science, language arts, and social studies, and a poster following scientists as they fight to reclaim an endangered species). (SM)

Reviews research involving the LOGO computer programming language and its effect on children's achievement in mathematics, language arts, and problem solving, as well as social-emotional development. Identifies some of the unique characteristics of LOGO that may contribute to student learning. (MDM)

This study analyzed relations between student achievement in the domain of fractions and the extent to which classroom practices are aligned with principles recommended by current reform frameworks. Hierarchical linear-model analyses revealed that alignment of classroom practices with reform principles was related to student achievement in problem…

Unique associations between three families of mathematical knowledge and individual differences in the mathematics skills of 103 seventh and eighth graders were studied. Conceptual and procedural knowledge adequately explained individual differences in fraction solving and problem set-up accuracy, but only conceptual knowledge adequately expressed…

A literature search to identify and analyze mathematics interventions for students with mild-to-moderate mental retardation found the focus of instruction has shifted since 1989 from basic skills instruction to computation and problem-solving instruction. Techniques such as constant-time delay, peer tutoring, time trials, and direct instruction…

Investigates the effects of children solving addition and subtraction problems collaboratively in contrast to solving problems on their own. Explores the effects of ability and gender on the outcomes of group collaboration. Presents and discusses the results. Includes references and an appendix. (CMK)

Factor-Q is a problem-solving computer assisted instruction system for teaching polynomials in grades 9-12 that addresses the limitations of most problem-solving programs, among others, the user interface. The system is designed to help students master the skills of factorizing polynomials. It demonstrates the ease with which inadequately trained…

Introduces the Envirobox Project that involves six classes from diverse regions of the United States where each class sends a shoebox including environmental samples to others. Explains the planning and preparation procedures of the project. Uses an interdisciplinary approach in the project which incorporates language arts, mathematics, social…

Fostering students' mathematical thinking requires regularly presenting them with challenging problems and involving them in the processes of mathematical inquiry (e.g., representing and solving problems; making, testing, and justifying conjectures). The Inverting a 36 Penny Triangular Array problem (called the Inverting problem, for short) is a…

The objectives of the current study were to examine: (a) the effects of the Peer Mediation with Young Children (PMYC) program on mediators' and learners' mediation style in the context of maths teaching; and (b) the interaction effects of the intervention program, children's verbal ability, and maths level on pre-to post-intervention improvement…

In individual interviews, 220 students in grades 4, 6, 8, and 9 were given one task, and 72 eighth graders were given three tasks to answer two questions: (a) Is a square the unit of measurement for an area for students in grades 4-8? and (b) Does a square have a space-covering characteristic for students in grade 8? The answers to both questions…

Staff development is aimed at changing practice. Change creates conflict. Little work has been done to gain insight into the conflict that teachers experience in the implementation of staff development. This study examines conflict in a staff development project aimed at increasing teachers' knowledge and implementation of problem-based integrated…