Examines how one teacher's way of knowing mathematics was reflected in language used in teaching concepts of rate to one student. The teacher's conceptualizations of rate were encapsulated in the language of numbers and operations which undermined his effort to help the student understand rates conceptually. (Contains 27 references.) (Author/MKR)

Reports on a study of the use of musical scores and rating scales by 80 pianists who listened to 21 trials of solo piano music. Found that the use of musical scores and rating scales did not improve interrater reliability. Discovered that the subjects were less consistent when evaluating slow musical pieces than faster pieces. (CFR)

Reports on a study of 811 African American high school students to determine what proportion identified music teachers as role models. Finds that 36% of the subjects identified a music teacher as a role model. Suggests that the findings highlight the need to recruit more minority teachers into music education. (CFR)

Reports on a study of an improvisation curriculum used with 66 fifth-grade music students. Finds that students who received instruction emphasizing improvisation performed at significantly higher achievement levels than students who did not receive such instruction. (CFR)

Asserts that social studies in North America has been defined most often as fundamentally concerned with preparing students for participation in civic life. Reviews research and summarizes findings on citizenship education in English Canada since 1988. (CFR)

Reports on 29 veteran secondary social studies teachers' reactions and responses to the New Social Studies movement of the 1960s and 1970s. Results indicate the magnitude of the gulf that exists between the concerns of theorists and the issues that are important to teachers. (CFR)

Focuses on the conceptual change processes of 17 fourth-grade students as they grapple with the abstract concept of human rights. Discusses limitations and successes in students' learning within the framework of conceptual change and motivation research. (CFR)

Examined inconsistencies in secondary school students' reasoning about the probability concept of equally likely events. Results of two studies suggest that the number of students who understand the concept of independence is much lower than the latest National Assessment of Educational Progress results indicate. (Contains 22 references.) (MDH)

A study with 29 preschoolers showed that a statistically significant number of them successfully reassigned tags in counting (ordinality) but failed to predict that differently ordered counts would produce the same outcome (cardinality). Results indicated that children may not entirely understand implications of their counting actions. (Contains…

After a year of instruction, 70 kindergarten children were individually interviewed as they solved basic, multistep, and nonroutine word problems. Thirty-two used a valid strategy for all 9 problems, and 44 correctly answered 7 or more problems. Modeling provided a unifying framework for thinking about problem solving. (Author/MDH)

Illustrates use of rule space as a tool for cognitive analysis of students' mathematical behavior. The rule-space approach is explained and used to classify students according to two methods for solving linear algebraic equations in one unknown and diagnose their knowledge states on this topic. (Author/MDH)

Two studies (n=228 and n=175) showed that college students more readily solve proportion problems if the items in the problem are relatively distinct from one another. Translation of units of one item into units of another is easier if the items are substantially different. (MDH)

Examined the effects of intervention in the instruction of 12 male seventh-grade students for the purpose of developing number sense. Results indicate that after instruction students were more likely to use strategies to solve number magnitude, mental computation, and computational estimation problems that reflected number sense. (Contains 50…

Analyzes one third grader's participation in mathematics class discussions, his beliefs about class discussion, and his arithmetical development throughout a school year in a problem-centered learning classroom. Concludes that a fruitful classroom discussion both necessitates and, conversely, is facilitated by the negotiation of social norms and…

A teaching experiment with six third graders to analyze their ways of operating while solving fraction tasks. Children's quantitative reasoning with fractions was based on their quantitative reasoning with natural numbers. Presents the constructive itinerary of one of the most advanced children in the group. (Contains 44 references.) (Author/MDH)