Examined perception of object unity in partial occlusion in 72 infants. Recorded how long subjects looked at a display of complete and incomplete rods. In test and control conditions, infants looked longer at broken rods than at complete rods, suggesting that infants' cognitive, visual, or attentional skills may be insufficient to support…

Presents the portion of a larger study of A-level British students understandings of calculus that deals with ambiguities inherent in the phrases "tends to,""approaches,""converges," and "limit." Responses to two questionnaires indicate that the four phrases generate everyday connotations that are at odds…

Describes the Agam program, a 36-unit curriculum program to introduce students to basic visual concepts and that applies visual abilities and visual thinking to learning tasks. Describes two units at the third grade level, "Ratio and Proportion" and "Numerical Intuition," and makes observations of the students' learning. (MDH)

Discussed is the importance of students being able to read and understand mathematics. The need for students to practice reading mathematics is emphasized. Discussions and homework are presented as examples of this needed practice. (KR)

Discusses the role of teacher questioning in the development of a child's concepts of and about mathematics. Proposes the development of mathematical concepts and procedures in problem-solving situations through questioning that engages student thinking and decision making. (MDH)

This study explored how one eighth grade girl learned about the structure of recursive programs in BOXER programing language. The method of impasse resolution was presented in detail and used both to understand how she constructed her understanding and as an empirical method to analyze her learning. (MDH)

A study interviewed 6 grade-6 students after participation in 21 lessons on basic concepts of fractions and decimals to determine how different children construct rational number concepts. Discussed the formation of the key concept of equivalent fractions based on student responses to interview questions. (MDH)

Discusses the two overgeneralizations "multiplications makes bigger" and "division makes smaller" in the context of solving word problems involving rational numbers less than one. Presents activities to help students make sense of multiplication and division in these situations. (MDH)

Reviews research on (1) schemata acquisition while learning mathematics and techniques for detecting schema in mathematics learners; and (2) assessment of the distribution of cognitive resources while learning mathematics that lead to the design of instructional techniques to facilitate schema acquisition. (26 references) (MDH)

Describes seven number-sense skills for elementary and middle school grades. Provides eight short stories for grades three through eight designed to develop students' number-sense skills in which students replace missing data so that the story makes sense. (MDH)

Used 2 12-year-old children to investigate deductive and inductive reasoning in plane geometry. A LOGO microworld was programmed to measure distances and turns relative to points on the plane. Learning environments like this may enhance formation of inductive geometrical understandings. (Contains 44 references.) (LDR)

Investigated primary school children's scientific understanding and the conceptual change that occurs when using an interactive approach to teaching science. Discourse analysis of classroom conversations indicated three different types of teacher-child and child-child interactions. (Contains 53 references.) (MDH)

Examines how the instructional conversation can be an effective method to raise the low academic achievement of various Native American students. Considers cultural differences in conversational styles, the relative emphasis on verbal or visual symbolic thinking in schools, student motivation, and the social organization of classrooms and schools.…

A constructivist framework can often appear vague and abstract to the novice counselor. The abstract and nebulous realm of meaning-making, which is central to constructivist approaches, can be frustrating for a linear, task-oriented counselor. This digest explains the approaches used in constructivist counseling. The need to use constructivist…

This is volume 6 of the series of translations of books from the Soviet literature on research in the psychology of mathematics instruction and on teaching methods influenced by the research. This book contains both a theoretical examination of the connection between instruction and the development of children, and experimental data on a definite…