Interviews with (n=55) children and their teachers in years one, two, and three showed a closer association between knowledge of place value and levels of counting than between levels of counting and the ability to explain the counting sequence. (13 references) (MKR)

Reviews the logic underlying mathematical induction and presents 10 tasks designed to help students develop a conceptual framework for mathematical induction. (Contains 20 references.) (MDH)

Describes Vygotsky's zones of proximal development, the importance of social interaction in learning through problem solving, and the benefits of modeling. Presents three implications for teaching and learning mathematics based on a teaching experiment focusing on these constructs. (MDH)

Reports on the application of concept mapping in information science and identifies the benefits for teachers and students. Demonstrates that concept mapping is a promising technique for extending theoretical, concept-based knowledge; caters to individual learning differences; facilitates communication of knowledge by learners in verbal and…

Compared use of derived fact strategies involving addition and subtraction by 20 learning-disabled students (LDSs) from an intermediate level self-contained class to 22 grade-3 normally achieving students (NASs). LDSs did not differ from NASs in verbal fluency or use of alternative strategies. (Contains 20 references.) (MDH)

Reviews three books that encourage practioners to be researchers of their own practice. Discusses absolutist and relativist approaches to research by examining assumptions related to questions the research generates. Recommends unification of practitioner and researcher roles through a dialectic, critical, reflective orientation that strives for…

Discusses ways teachers can encourage students to construct useful meanings for the fractional unit. Provides three examples of representations of common fractions and illustrates misconceptions in fraction problems. Includes a brief summary of constructivist mathematics education and an example in which a teacher misunderstands a fractional unit.…

Presents 2 mathematical projects involving (n=25) fourth-grade and (n=26) sixth-grade students' concept mapping (on fractions and on geometry) that allowed monitoring of students' individual understanding over time and provided information about students' conceptual understanding. (37 references) (Author/MKR)

Presents two activities with investigation procedures to aid students in examining the extent and impact of biomass burning and deforestation in Brazil as an example of the global problem. Provides background information, tables, and diagrams. (five references) (MCO)

Presents suggestions for developing algebraic concepts beginning in the early grades to develop a gradual building from informal to formal algebraic concepts that progresses over the K-12 curriculum. Includes suggestions for representing relationships, solving equations, employing meaningful applications of algebra, and using of technology. (MDH)

Discussed is the question of teachers' knowledge about mathematical topics. The building of an analytic framework of subject matter knowledge for teaching the topic of functions in mathematics is demonstrated. Discussed is the construction of mathematics courses prospective mathematics teachers take. (KR)

Reported are the effects of a conceptually oriented unit on decimal fractions. The relationships between short-term changes in solving processes and the stability of these processes over time, performance of students, and entry achievement level and the long-term effects of conceptually based instruction are discussed. (KR)

A study of English students' concepts of pollution (n=122) indicates students understand pollution in two distinct ways: pollution that goes into the atmosphere and pollution that damages or destroys. Concludes that to the students' minds it seems that both these definitions can only be valid if associated with human-made activities. (Author/MCO)

A year-long study in 40 eighth grade mathematics classrooms compared the effect on student achievement of teaching with meaning with algorithmic-practice teaching. In general, teaching with meaning was found to increase student achievement. However, differences in response to the methods was seen in the top, middle, and lower thirds of the…

Asserts that teaching concept formation and generalization development are central to any social studies program. Presents a classroom activity designed to teach geographic concepts to middle school students. Includes four figures and instructional procedures to be used in the activity. (CFR)