Escape rooms have been receiving more attention for use in education. Escape rooms are games in which teams solve multiple puzzles and challenges using clues, hints, and strategy to determine how to escape from a locked room. The implementation of escape rooms has the potential for increasing students' mathematical understanding and engagement.…

This observational study used data from 270 second-grade students to investigate the association between students' strategy use for multidigit addition and subtraction and their mathematics achievement. Based on strategies they used during a mathematics interview, students were classified into the following strategy groups: (a) standard algorithm,…

The U.S. educational system is undergoing rapid and substantial changes with many states grappling with the adoption of the Common Core State Standards in Mathematics (CCSSM). Important research questions remain unanswered regarding the potential efficacy of the CCSSM to improve student math performance compared with students around the globe.…

This article summarizes research conducted on calculator block items from the 2007 fourth- and eighth-grade National Assessment of Educational Progress Main Mathematics. Calculator items from the assessment were categorized into two categories: problem-solving items and noncomputational mathematics concept items. A calculator has the potential to…

A central goal of secondary mathematics is for students to learn to use powerful algebraic strategies appropriately. Research has demonstrated student difficulties in the transition to using such strategies. We examined strategies used by several thousand 8th-, 9th-, and 10th-grade students in five different school systems over three consecutive…

This study examined average-, high- and top-performing US fourth graders' rational number problem solving and their understanding of rational number representations. In phase one, all students completed a written test designed to tap their skills for multiplication, division and rational number word-problem solving. In phase two, a subset of…

Compares the ability of students in Michigan (N=302) and Scotland (N=221) to do simple calculation exercises and relational/practical problems involving number and operation. Although this is not a controlled statistical study (data collected included birth date and sex), sample sizes are sufficient to make the reported results meaningful. (JN)

Problem solving by example is an intermediate step toward mastering problem-solving heuristics. Discussed are problem-solving processes by using two problem examples. Emphasized are heuristics cataloging in a problem-solving log, and approaches to solutions, not the solutions themselves. (YP)

Presents results of a study to determine the effect of type-size on the mathematical problem-solving achievement of first, second, and third graders (n=259). Analysis of variance indicated that no significant differences in achievement existed. Concludes that textbooks can utilize smaller type sizes on word problems. (MDH)

The purpose of this study was to compare the achievement for the operations of multiplication and division on whole numbers of elementary grade students who were taught functional diagnostic strategies with a randomly selected group who were not taught the informal diagnostic strategies. Included are the methodology, results, and discussion. (KR)

Students (n=61) in an experimental course stressing active student involvement and the use of a computer algebra system scored higher than students (n=76) in a traditional college algebra course on final measures of inductive reasoning, visualization, and problem solving while maintaining equivalent manipulation and computation skills. (Author/MLB)

Presents a study to determine whether computer use in guided-discovery learning episodes would enhance the problem-solving ability of secondary school students (n=147). Results indicate interaction between low- and middle-level students' mathematical achievement and treatment groups, while high-level students performed well regardless of approach.…

Describes the results of a teaching experiment conducted to investigate the effect of journal writing on achievement in and attitudes toward mathematics. The results of ANCOVA suggest that journal writing has a positive impact on middle school students' (n=104) conceptual understanding, procedural knowledge, and mathematical communication, but not…

Described is a study that used LOGO to improve the proportional reasoning ability of students enrolled in mathematics classes for students poorly prepared for college-level mathematics. Included are the methodology, procedures for using logo, and a discussion of the results. (KR)

Presents an experiment to examine the relative effects of cooperative groups versus independent practice in helping students encode problem-solving strategies into their long-term memory. Four classes of 126 prealgebra students were randomly assigned to employ the 2 methodologies. Students who practiced in cooperative groups demonstrated greater…