Discusses the relationship between geometrical and numerical concepts in the mathematical development of young children. Based upon a longitudinal field study of 224 children, findings suggest that memorization ability facilitates understanding of numerical concepts but that subsequent mathematical development is restricted until basic geometry is…

How the computer as a metaphor affects our understanding of the processes of learning and teaching is explored. After describing reflection and recursion in mathematics and their roles in thinking and learning, models of the mind and teaching effects are discussed, with self-awareness as a theme. (MNS)

This article focuses on two approaches to teaching reasoning and problem solving. One emphasizes the role of domain-specific knowledge; the other emphasizes general strategic and metacognitive knowledge. Many instructional programs are based on the latter approach. The article concludes that these programs can be strengthened by focusing on domain…

A model that integrates the systematic observation of student and teacher behaviors with an analysis of student achievement is presented. It assesses student learning and time use for a particular lesson and provides the instructor with immediate feedback that documents teaching effectiveness. (MLW)

This case study examined the performance of a 13-year-old highly skilled mental calculator on mental multiplication tasks. She solved difficult tasks by using various ingenious calculation methods, including distributing, factoring, and recalling the product directly. Implications for instruction are reported. (Author/RH)

Reviews and evaluates studies of the effects of light, color, and air quality on the learning environment. Concludes that studies suggest a role for light in establishing and maintaining physiological functions and balances and a need for improved air quality in airtight, energy efficient buildings. (JHZ)

Discusses types of knowledge that should define the academic librarian: (1) background in history and development of higher education; (2) appreciation for history of scholarship and learning; (3) understanding of how knowledge is obtained in various disciplines; (4) ability to evaluate research findings. Three reactions to essay are included.…

Explored the effects of microcomputer instruction organization on three variables: (1) sex of student; (2) social arrangement of classroom; and (3) curricular presentation (high and low guidance) for algebra I (N=114) students at a suburban high school. Learning was significant regardless of treatment, but behavioral changes were different under…

Desegregation does not appear to be a significant factor promoting learning. Rather, more individual attention to students in the schools and educational support and stimulation at home (irrespective of race or social status) can greatly boost student achievement. (Author/GC)

The relationship between arithmetical concepts and solution methods is discussed. A case study illustrates the contention that some children with relatively sophisticated concepts express those concepts with primitive methods. (MNS)

Describes recent developments in brain science with implications for persons whose research interests are in science education. Discusses new conceptual models, useful methods and techniques, and how neuroscience paradigms and technologies can be applied to teaching and learning. (JM)

Presents concerns from the literature relating to the effects of computer language learning, computer programing, and the cognitive consequences of computer assisted instruction. It is argued that further research is needed to address these issues if computers are to retain their place in education. Fifty-five references are listed. (MBR)

Investigated learning of the energy concept during physics instruction in grades seven to 10, focusing on meanings of words (names of concepts) and tasks involving motion. Results indicate severe limitations of the impact of physics instruction on learning the concept. (JN)

A model of subtraction development and the computing difficulties and research issues suggested by the model are outlined. Demands of simultaneous processes, difficulties with informal subtraction, and the impact on the counting-up procedure are discussed. (MNS)

Discusses four ways in which subtraction is more difficult than addition: (1) verbal solutions do not always parallel object solutions; (2) methods may interfere with each other; (3) special problems exist with subtraction on the number line; and (4) subtraction has multiple situational interpretations. (MNS)