Defines M-demand as the maximum number of schemes that the subject must activate simultaneously in the course of executing a task. Discusses the effect of M-demand on problem solving. Uses algorithms to reduce M-demand. Describes the role of algorithms in problem solving. (MVL)

Asserts that technology and telecommunications have become integral parts of daily life. Discusses three roles that technology plays in improving the problem-solving process. Contends that students must learn to select from a variety of information sources. (CFR)

Describes the application of the problem method, or case study approach, to teach undergraduate research methods. Maintains that the approach is particularly applicable because research design is a classic ill-defined task. Reports that students find the method challenging and interesting. (CFR)

Reports a study to examine secondary school students' (n=200) responses to two figurally and spatially similar problems from mathematics and science that require different responses before and after instruction. Results indicated that most students gave the same response to both questions. Reasons for this pattern are discussed. (MDH)

Presents the reactions of a mathematics educator and a mathematician to a seven-year-old student's response for finding square numbers. Reflects on the mathematician's focus on the mathematics of the problem and the mathematics educator's focus on the student's systematic way of working, and discusses the common focus of student creativity. (MDH)

Discusses how a single problem can be utilized to discuss mathematical skills and concepts at several different levels. Presents a problem involving fractions examined at the following four levels according to the abilities of the students: (1) finding solutions; (2) identifying methods for finding solutions; (3) exploring similar examples; and…

Two studies to determine how students interact with two microworlds that reflect a constructivist view of learning investigated students' goals during interaction, strategies utilized to achieve their goals, changes in goals during interaction, and common patterns of interaction and learning. Concludes that well-designed games enable students to…

Explores the role that symbolic-graphical calculators can play in the current calls for reform in the mathematics curriculum. Discusses symbolic calculators and graphing calculators in relation to problem solving, computational skills, and mathematics instruction. (MDH)

System-initiated adaptive advice and learner-requested nonadaptive background information were investigated in computer simulation game experiments with 64 seventh graders, 38 college students, and 80 seventh and eighth graders in Germany. Results are discussed in terms of theories of problem solving, intelligence, memory, and information…

The purpose of this study was to examine the cognitive correlates of RD-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Third graders (N = 312) were measured on language, nonverbal problem solving, concept formation, processing speed, long-term memory, working memory, phonological decoding, and sight word…

The two case studies presented explore the potential offered by in-depth qualitative analysis of students' online discussion to enhance our understanding of how students learn. Both cases are used to illustrate how the monitoring and moderation of online student group communication can open up a "window into learning", providing us with…

This study investigated the role of problem structure and metacognitive control in the analogical transfer of performance of 40 13- and 14-year-old gifted and highly gifted math students. Average and above average 16-, 17-, and 18-year-olds served as comparison groups. Students were given three algebra problems with solutions, followed by two…

An editorial comment on the computer and the mathematics educator is included first. Then, abstracts and comments are presented for 11 articles. Studies included focus on mental addition, problem solving by sixth graders, mathematics anxiety, tutoring, direct instruction, a bilingual program, thinking strategies for multiplication basic facts,…

This issue contains abstracts and critical comments of 10 articles. Studies included focus on sex differences in mathematical learning, intuitive functional concepts, multiple embodiments of place value concepts, instructional activities of high and low achievers, effective management at the beginning of the school year, cross-age peer tutoring,…

This study investigated the grouping effect on student achievement in a chemistry laboratory when homogeneous and heterogeneous formal reasoning ability, high and low levels of formal reasoning ability, group sizes of two and four, and homogeneous and heterogeneous gender were used for grouping factors. The sample consisted of all eight intact…