Results are presented from two intervention studies which investigate whether encouraging elementary students to generate drawings of arithmetic word problems facilitates problem-solving performance. Findings indicate that fifth graders (N=50) generated many drawings of word problems and improved problem solutions after the intervention, whereas…

Outlines the development of a lesson structured around four stages of problem-solving. Provides five problems and questions for understanding, getting started, and for extension in each of the problems. (YP)

Discusses the use of computer spreadsheets to prepare questions from a problem. Presents three sample problems, templates, and questions. Provides a list of available spreadsheet programs. Lists five references. (YP)

Students are to learn an explicit definition for fractions and then use it to illustrate and solve problems. All computations involve whole-number operations, and may be used with students in grades five-nine. Two transparencies and four worksheets are included. (MNS)

Reports unique solutions given to five problems from individual students in mathematics courses for prospective elementary school teachers oriented toward problem solving. Concludes that such courses are feasible, promote problem-solving abilities and strategies, and develop appreciation and confidence in preservice teachers. (MDH)

Methods used by adults to read numerals were investigated by asking graduate students in education to read and solve mathematics problems. Eye movement studies noted reading patterns. Distinct first reading and rereading phases and two distinct methods of reading numerals were identified. (SLD)

This study examined the hypothesis that prior experience with augmented-quotient problems would positively influence performance on remainder-only problems and quotient-only problems. Analysis of sixth through eighth grade students' (n=545) responses to test forms that systematically varied the order of appearance of these three division problems,…

This article uses a cognitive problem-solving model to explore the application of hypermedia authoring software to mathematics in general and to mathematical problem solving in particular. Hypermedia is presented as a method of exploring alternative solution processes to remediate or prevent learning problems. (JDD)

Considered are several mathematical models that can be used to study different waiting situations. Problems involving waiting at a red light, bank, restaurant, and supermarket are discussed. A computer program which may be used with these problems is provided. (CW)

Reviews computer software programs that focus on mathematics skills for students in kindergarten through grade 12, as well as a mathematics activity book that includes a computer software disc for young children. (BB)

This study (N = 48) examined the relationship between preservice secondary teachers' subject-matter expertise in mathematics and their judgments of students' algebra problem-solving difficulty. As predicted by the "expert blind spot" hypothesis, participants with more advanced mathematics education, regardless of their program affiliation or…

This study aimed to investigate children's performance and perception of problem difficulty in solving everyday mathematical problems with familiar versus unfamiliar contexts. In addition, the ways that children identify the similarities in problem-solving approaches between problem settings and everyday shopping were also examined. Forty-eight…

This paper investigates prospective elementary and secondary school teachers' understanding of proof in a case where the truth set of an open sentence is broader than the set covered by a valid proof by mathematical induction. This case breaks the boundaries of students' usual experience with proving tasks. The most important finding is that a…

This study investigated the effectiveness of a schema strategy on the addition and subtraction word problem solving performance of four sixth and seventh grade students with learning disabilities. Students were taught to map features of the word problem onto problem schemata diagrams, first for one-step problems and then for two-step problems. A…

This report focuses on the integration of computers in elementary and middle school instruction. Based on interviews and on-site visitations with teachers using computers in conjunction with their regular instruction, seven lessons are described: (1) desktop publishing for grades 4 and 5; (2) interpretive writing for any grade level; (3)…