The effectiveness of instruction in word-problem solving for students with learning problems in 25 outcome studies was examined across student characteristics, instructional features, methodological features, skill maintenance, and generalization components. Computer-assisted instruction was found to be most effective for group-design studies;…

Investigates the effects of personalized instruction on achievement and attitudes of Taiwanese elementary students on two-step mathematics and word problems. Students initially completed a survey on which they choice their favorite foods, sports, stores, classmates, and other selections. The most popular items were then used to create personalized…

A small-group mathematical problem-solving tutorial treatment with explicit instruction including transfer to novel problems was evaluated with 40 students. On word problems and transfer word problems, tutoring effected reliably stronger growth, although effects on real-world problem solving, while moderate to large, were not statistically…

This exploratory study applied two new cognitively sensitive measurement models to constructed-response quantitative data. The models, intended to produce qualitative characteristics of examinee performance, were fitted to algebra word problem solutions produced by 285 examinees taking the Graduate Record Examinations (GRE) General Test. The two…

This study evaluated expert system diagnoses of examinees' solutions to complex constructed-response algebra word problems. Problems were presented to three samples (30 college students each), each of which had taken the Graduate Record Examinations General Test. One sample took the problems in paper-and-pencil form and the other two on computer.…

This study examined ways in which two independent variables, peer collaboration and the use of a specific tool (the TAPS interface), work together and individually to shape students' problem-solving processes. More specifically, the researchers were interested in determining how collaboration and TAPS use cause metacognitive processes to differ…

This study investigated children's ability to interpret a natural social situation, depicted in a narrative story, and to use their understanding of that situation to generate and apply a mental model of debts and assets in solving problems including negative quantities. Fifty-one American students from a parochial school in a predominantly middle…

This qualitative assessment of tenth-grade students' (n=17) problem solving focused on the nature of students' thinking, their problem-solving strategies and heuristics, the mathematical approaches they selected, and the ways they monitored their own progress. The problem, presented orally and with photographs in a task-based interview, involved a…

This collection of mathematics word problems was developed by adult learners in the Reach One Program. The first page describes the steps that led to the finished product: having learners work word problems; listing steps for solving word problems; having learners work problems according to these steps; providing a list of key words that indicate…

Learning activities and questioning skills that teachers in Tasmania can use to determine a child's mathematics understanding are presented. Covered topics include division, multiplication, subtraction, addition, sorting and classification, one-to-one correspondence, patterns, ordering, and counting. Included for each topic are the aim, needed…

The primary purpose of this study was to investigate the effects of three levels of personalization--individual, group, and non-personalized--on the achievement of seventh grade Hispanic boys and girls on mathematics word problems. Subjects were 123 seventh grade Hispanic students from a rural junior high school near Phoenix, Arizona. A pretest…

This module is the third in a series of 12 learning modules designed to teach occupational mathematics. Blocks of informative material and rules are followed by examples and practice problems. The solutions to the practice problems are found at the end of the module. Specific topics covered include calculator addition, adding measurements of…

This module is the fourth in a series of 12 learning modules designed to teach occupational mathematics. Blocks of informative material and rules are followed by examples and practice problems. The solutions to the practice problems are found at the end of the module. Specific topics covered include calculator subtraction, order of operations, and…

This module is the fifth in a series of 12 learning modules designed to teach occupational mathematics. Blocks of informative material and rules are followed by examples and practice problems. The solutions to the practice problems are found at the end of the module. Specific topics covered include calculator multiplication of decimals,…

This yearbook consists of five sections, with samples of children's work appearing between sections. Part 1, "Perspective on Change in Elementary School Mathematics," describes and discusses broad components of change in elementary school mathematics. The central roles of problem solving, communication, and reasoning are highlighted, as is the…