Based on the sociocultural theory of learning and distributed cognition, using learning aids should benefit students' performance, as learning aids can compensate for a lack of knowledge or skills and reduce strain on short-term memory. The present study investigated the use of a diverse set of learning aids in Grade 8 of vocational education in…

This study assessed if students with and without disabilities used calculators (fourfunction, scientific, or graphing) to solve mathematics assessment problems and whether using calculators improved their performance. Participants were sixth and seventh-grade students educated with either National Science Foundation (NSF)-funded or traditional…

This book's 28 chapters are adapted and updated from articles published in NCTM's "Journal for Research in Mathematics Education" between 2000 and 2010. The authors have rewritten and revised their work to make it clear, understandable, and--most of all--useful for mathematics teachers today. To help teachers even more, these articles…

The Program for International Assessment tested students in mathematics from 41 countries and found that students in the United States ranked in the lowest percentile. This struggle with math among youth in the United States prompted this quasi-experimental quantitative study about using interactive technology to engage and motivate 9th grade…

Building physical models relative to a concept can be an important activity to help students develop and manipulate abstract ideas and mental models that often prove difficult to grasp. One such concept is "time". A method for helping students understand the cyclical nature of time involves the construction of a Time Zone Calculator through a…

This research focuses on the graphics calculator in calculus and its impact on students' abilities to work with graphical, numerical, and symbolic representations. Three courses are compared, two of which are taught with less emphasis on the use of graphing calculators. The format of the course emphasizing calculator use is more traditional than…

This 5-section report summarizes the results of a project concerned with how novices learn to become creative educational computer users. Based on a cognitive analysis of elementary programming statements in BASIC and calculator language into conceptual units, the project builds on previous research on learning BASIC programming. A general…

Describes a study that investigates the subtraction skills of primary students (N=65) in two schools. Students solve tasks and explain procedures and their teachers are interviewed to determine their objectives and strategies. Contains 41 references. (DDR)

Tells stories of children in their first year of school (mostly age five) who were using calculators for the first time. Implications are that children's thinking moves from a rough to a more thorough and refined grasp of the whole. Learning mathematics with calculators is more like the learning of language than traditional classroom mathematics.…

Guidelines for implementing a problem-solving approach to teaching mathematics concepts and skills to students with mild disabilities include: establish connections to daily life; use visual presentations; use manipulatives; use peer-mediated instruction; provide models, cues, and prompts; teach self-management techniques and learning strategies;…

This three-part volume provides a summary, for use by practitioners, of a project concerned with how novices learn to become creative educational computer users. The first chapter examines techniques for increasing the novice's understanding of computers and computer programming, and specifically analyzes the potential usefulness of five…

Presents 14 problems organized into three levels of difficulty. Topics include algebra, pattern identification, probability, and geometry. Includes solutions to the problems. (DDR)

Indicates that utilizing calculators to introduce algebraic concepts in a prealgebra course provides students with a solid foundation for the study of college mathematics. Pedagogical criteria emphasized the difference between exact and approximate results, appropriate use of the calculator in problem solving, the role of estimation in…

This paper reports on a project that involved 16 middle school teachers incorporating fraction calculators into the mathematics curriculum. Teachers completed questionnaires prior to the beginning of the project and again two years later. Findings indicate that two years after the end of the project, teachers held positive attitudes or…

The Mathematics Education Research Group of Australia (MERGA) was officially constituted in 1980. In 1984, MERGA produced the first review of the mathematics education research carried out in that region. This book is the third in that series of research reviews. An overview provides the context in which the Australian research was conducted and…