The evaluation of an interdisciplinary, process curriculum for real problem solving required a tool for differentiating that program's application from the actual treatments taken by students receiving more traditional alternatives to the experimental program. Treatments could not be controlled or assigned at random, and these restrictions…

This investigation used a clinical interview technique to identify the difficulties of kindergarten children who are unable to develop models or representations of simple arithmetic story problems. It is hypothesized that effective human problem solvers first generate some type of "physical model" and use this model to create a…

This yearbook is intended to be primarily a highlighting of the essential elements of those basic mathematical understandings which should be continually developed and extended throughout the entire mathematics curriculum. An attempt is also made to illustrate training in mathematical modes of thought, sometimes labeled problem solving or creative…

Presented is a summary of research and recommendations concerning questions that are frequently asked by teachers and administrators about the learning and teaching of mathematics. Six areas are analyzed: planning for instruction, instructional procedures, differentiating instruction, methods of instruction, problem solving, and evaluation. The…

Eighteen research reports related to mathematics education are abstracted and analyzed in this publication. Three of the reports deal with aspects of learning theory, seven with topics in mathematics instruction (problem solving, weight, quadratic inequalities, probability and statistics, area and volume conservation, cardinality), five with…

Seventeen research reports related to mathematics education are abstracted and critically analyzed. Seven of the reports deal with aspects of learning theories, four with topics in mathematics instruction (subtraction, problem solving, division by zero, and high school geometry), two with teacher effectiveness and competency, and four with…

Discusses a study which compared differences in ratio construction made by high school freshman and junior students. Reports that more freshmen than juniors selected solutions involving one variable, whereas juniors chose solutions that coordinated two variables in a mathematical or verbal rule. Reviews implications in problem solving and concept…

Abstracts of seven selected papers from the 7th Annual Microcomputers in Education Conference are presented. Papers are included on microcomputer-based labs, teaching science with robots, microcomputer software, problem solving, computer integrated math activities, and computer assisted mathematics. (RH)

Reviews the research concerning young children's use of computers in terms of their social/emotional development (peer interaction and cooperation, peer teaching and helping, social and cognitive interaction, and attitudes), language skills (language development, prereading reading, and writing skills), and mathematical and problem-solving skills.…

A review of literature on selected relationships among metacognition, quantitative problem-solving, and learning disabilities focuses on three types of problem-solving activities: word problems; knowledge-based problems; and decision and argument problems. Techniques for teaching problem-solving and integrating metacognition principles into…

This Texas Tech University computer literacy course designed for preservice elementary and middle school mathematics teachers lacking a technological orientation facilitates their computer introduction through preliminary use of calculators. Course development, philosophy, and course segments are outlined with emphasis on the sequence in which…

Discusses how children's knowledge can be measured/described, knowledge patterns across diverse concepts, interaction of knowledge/learning, and ways children construct more advanced problem-solving rules to replace less adequate ones. Evidence, drawn from studies on children's acquisition of knowledge about balance beams, suggests that knowledge…

The National Institute of Education has supported new research and synthesized existing information to provide teachers and administrators with direction for cognitive instruction. Efforts have been made to identify kinds of thinking and learning conducive to success in particular subjects and to offer useful research-based ideas to teachers. (TE)

Evaluates reading/language arts, mathematics, general problem-solving, science, social studies, creative arts, foreign languages, computer literacy, and audio-visual author software. Also lists and describes criteria used in the evaluation. (Equipment specifications and sources of software are included.) (JN)

The NASA Science Files is a series of instructional programs consisting of broadcast, print, and online elements. Emphasizing standards-based instruction, problem-based learning, and science as inquiry, the series seeks to motivate students in grades 3-5 to become critical thinkers and active problem solvers. Each program supports the national…