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 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 paper reports on the process of modifying the ModelCreator item generation system to produce output in multiple languages. In particular, Japanese and Spanish are now supported in addition to English. The addition of multilingual functionality was considerably facilitated by the general formulation of our natural language generation system,…

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)…

This document provides a listing of the revised sequence of mathematics skills to be taught in grades K-6 in the Lancaster (Pennsylvania) School District. For each level the individual skills are grouped into categories, listed in sequence, and cross-referenced to specific pages in three mathematics textbook series. The categories of skills relate…

This monograph is aimed at helping the reader understand the built-in logic of various calculator operating systems. It is an outgrowth of workshop contacts with in-service and pre-service teachers of mathematics and is in response to their request for a book on the subject of calculator logic systems and calculator algorithms. The mathematical…

Ongoing work toward developing a learning environment that will perform real-time diagnoses of students' difficulties in solving mathematical word problems is described. The learning environment designed consists of a microworld and expert modules. The microworld (or toolbox) is a collection of mouse-driven interfaces that facilitate a transition…