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…

What is meant when people say that "learning environments are increasingly complex"? What is known about the cognitive processing that occurs during complex learning? How can educators provide effective instructional support for students who must learn and apply complex knowledge? These questions, and related issues, have fascinated educators and…

Providing choice to individual students with attention-deficit/hyperactivity disorder (ADHD) has previously been demonstrated (in single-subject research) to reduce undesirable behavior but has failed to demonstrate gains that are independent of task difficulty or interests/ preferences. We examined choice of feedback type on a computerized math…

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…

Focusing primarily on current problem areas in mathematics instruction, this third yearbook of the Finnish Association of Mathematics and Science Education Research contains five articles addressing four themes in mathematics education. The first theme is concerned with proportional reasoning in mathematics teaching and describes school test…

In assessing the quality of science teaching for an effort such as the National Assessment of Educational Progress (NAEP), it is important to understand what is meant by scientific thinking--the search for explanations. Instruction should involve higher-order cognitive skill development, but it is difficult to measure reasoning and understanding…

This paper presents an instructional model for thinking skills and discusses implementing the model. Based on a unitary theory of human cognition and some basic assumptions about the conditions for successfully intervening in public education, the model can be implemented at any grade level within any instructional framework. Currently used models…

Designed to contribute to the growing effort to teach critical thinking skills, this guide provides teachers with (1) a simple, usable set of definitions for recall, analysis, comparison, inference, and evaluation; (2) brief explanations of three common forms of classroom assessment (oral questioning during instruction, paper and pencil objective…

This paper begins with a summary and analysis of Robert Glaser's arguments, presented in his paper "Education and Thinking: The Role of Knowledge," which contend there are strong interactions between structures of knowledge and cognitive processes, and that problem solving and reasoning are taught best in the context of the acquisition…