This book introduces journal-writing prompts in mathematics for grades 7-8. Content prompts, attitudinal or affective prompts, and process prompts are presented. Each of the content prompts relates or connects topics within and outside of mathematics, targeting important or meaningful concepts and skills. The content prompts also provide…

There is consensus in the United States that schools are not succeeding. This paper presents recent research in mathematics, science, language arts, social studies, and the arts to discuss ways in which to improve instruction and learning in these areas. Featured topics include cooperative learning, problem solving, use of technology, whole…

Thinkback is a new instructional process that uses "thinking aloud" strategies developed by Arthur Whimbey and derives its name from the technology of instant video playback. Thinkback is a generalization of techniques described in the program "Problem Solving and Comprehension," which has been used for more than 20 years. The…

Facets of problem solving instruction (PSI) were studied in German mathematics classrooms. Nine different facets of PSI were identified from the research literature, and a video rating form was developed to assess these facets and teacher effectiveness. Videotaped mathematics lessons (n=147) for German eighth graders from the sample for the Third…

This paper reports the results of a 2-year study investigating the types of experiences and support necessary for in-service teachers to effectively integrate Geographic Information Systems (GIS) in their teaching/learning environments. The complex nature of GIS software prompted the authors to ask whether GIS can be a useful tool in the…

Identifies the academic competencies and skills required for college success, as prepared by the College Board during phase one of Project EQuality. Lists competencies for reading, writing, speaking and listening, mathematics, reasoning, and studying. Considers successful study skills essential in acquiring all other competencies. (DMM)

This article describes a summer program for high school graduates planning to enter college and major in mathematics, or natural or health sciences. The program is Piagetian-based and designed to assist the students in preparing for problem solving in college by providing multidisciplinary concrete experiences in science and mathematics. (SA)

Described are science objectives for middle schools. Suggested objectives include recognition of student physical and intellectual development; problem solving skills; integration of science, math and social science skills; and development of creative curricula to assist early adolescents to cope in a scientific and technological world. (DS)

Describes the experiences of a secondary mathematics education student as a MATHCOUNTS coach for sixth graders. Explains the program, coaching duties, and how the approach evolved in trying to shift student focus from finding the right answer to finding a logical approach to solving problems. Discusses the experience in terms of the National…

This study reports on the development and psychometric properties of a new 87-item Mathematics Information Processing Scale that explores learning strategies, metacognitive problem-solving skills, and attentional deployment. Results with 340 college students support the use of the instrument, for which factor analysis identified five theoretically…

Describes an action research study that observed the use of Logo by first grade children in public schools. Students' use of screen wraps is highlighted, and learning activities other than programing that resulted are described, including problem solving, acquisition of mathematical concepts and language, peer tutoring, and productive play. (LRW)

Describes an activity which uses the computer to produce an environment that encourages an inductive reasoning approach to ratio and proportion through a billiard ball simulation. Provides examples of graphs and bouncing ball data. (RT)

Examined the developmental sequence through which adolescents progress in solving a physics problem (balance beam ratio and proportion) and a social problem (predicting the behavior of a story character). Although most of the 9- through 19-year-olds performed at predictable and similar developmental stages on each task, a minority were more…

The interaction of reading and computational abilities in solving mathematics word problems was investigated with the responses of about 20,000 fourth graders and 20,000 eighth graders to items from the Iowa Tests of Basic Skills. Item responses exhibited different types of interaction, a finding with implications for item-response theory…

Proposes a model for intelligent computer-aided education systems that is based on cooperative learning, constructive problem-solving, object-oriented programming, interactive user interfaces, and expert system techniques. Future research is discussed, and a prototype for teaching mathematics to 10- to 12-year-old students is appended. (LRW)