Examines the scientific concept of evaporation. Attempts to show how students develop their understanding through the levels of the Structure of the Observed Learning Outcome (SOLO) taxonomy. Shows how designing learning experiences to suit the learners' developmental stages in understanding a concept is paramount to the overall growth of the…

This study examines whether the concepts held by teachers are communicated to students during instruction and if students' concepts of reading reflect their teachers' concepts of reading. Implications for teacher education are discussed. (IAH)

Examines 11 elementary science texts in terms of conceptual structure and reasoning demands using concept maps. Reports that (1) the conceptual structures vary widely across texts; (2) most of the structures are well defined; and (3) the reasoning demands are above the developmental capabilities of most of primary-level children. (Author/YP)

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)

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)

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 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…

Children (ages 9 and 14) with mild mental retardation and matched controls without mental retardation were given a test of their ability to perceive relations among different stimuli and transfer learned behavior from familiar to less familiar environments. Results showed that subjects with retardation relied only on prototype information, whereas…

A study asked 24 first grade children from 3 different classes to write number sentences and select appropriate alternative number sentences for addition and subtraction word problems. Results indicated that children could be characterized into five clusters according to their flexibility in accepting alternative number sentences and that…

Discussed is why students have the tendency to apply an "add the numerators and add the denominators" approach to adding fractions. Suggested is providing examples exemplifying this intuitive approach from ratio, concentration, and distance problems to demonstrate under what conditions it is applicable in contrast to the addition algorithm. (MDH)

When comparing performances across four versions of Computer as Lab Partner curriculum, increases in understanding were found when students predicted outcomes and reconciled results, and students used a heat-flow model of thermodynamics to integrate their experimental results. Argued is that curriculum must explicitly motivate students to…

Analyzed are the different stages in the conceptual evolution of infinity as developed historically through the work of Bolzano and Cantor. Results of a study of 18 to 20 year old's concept of infinity prior to instruction produced aspects of the passage between conceptual levels of infinity. (MDH)

Proposes helping students understand fractions by establishing connections between students' informal knowledge of fractions and the mathematical symbols used to represent fractions. Sample dialogues demonstrate how these connections can be made. (MDH)