Discussed are possible reasons behind the inconsistencies in the learning of calculus. Implicated are students' beliefs, mathematical paradigms including concept image and concept definition, language use, and curriculum sequencing. (KR)

Discussed are the issues of inconsistencies and compartmentalization and the use of inconsistencies in the classroom. Included are discussions on paradoxes, the naive student, logical reasoning ability, and the development of the students' cognitive structures. (KR)

Discusses a system of classification for students' inconsistent ideas in mathematics, the sources of students' mathematical inconsistency, and instructional strategies for helping students to resolve apparent learning inconsistencies. Language, curriculum, and instruction are included in the discussion. (KR)

Compared the use of conditional logic in adult-adult and adult-child conversation. Results indicated that conversation patterns and inferences were similar except that children made fewer independent inferences and shifts in taxonomic level and responded more frequently to socially controlling statements than did adults. (AA)

This teaching guide provides an integrated framework for teaching thinking skills which involves both teaching thinking in a separate program or course and infusing the teaching of thinking into standard subject area instruction across the curriculum. Individual chapters deal with the following topics: (1) the nature of thinking skills and…

This study investigated the grouping effect on student achievement in a chemistry laboratory when homogeneous and heterogeneous formal reasoning ability, high and low levels of formal reasoning ability, group sizes of two and four, and homogeneous and heterogeneous gender were used for grouping factors. The sample consisted of all eight intact…

The purpose of this study was to investigate the relationship between the achievement of some abstract concepts in "molecular genetics" and prior knowledge, formal reasoning ability, and sex. The major findings of the study were: (1) prior knowledge had a high significant correlation with the achievement of abstract concepts; (2) the…

The range of meanings of "big" and "little" that mothers and their three children under age two expressed in relatively natural communication situations was studied. Longitudinal data from transcripts of conversations of middle-class mothers and their children were analyzed along with diary records kept by parents of their children's use of size…

Recall lists were presented to 40 black lower class and 40 white middle class children in this experiment. The purpose of the study was to examine a possible explanation of the relatively poor performance of black and lower class children on tasks requiring abstract learning abilities. It was reasoned that the threshold for the production of…

A 3-year experiment evaluated the effectiveness of the Pyramid program, an educational program for young children from deprived situations and based on two concepts: psychological nearness (principles of attachment theory) and psychological distance (derived from developmental distancing, or the growing ability of a child to comprehend that an…

Studies 94 undergraduate students in introductory statistics and computer science courses. Applies Formal Operations Reasoning Test (FORT) and Kolb's Learning Style Inventory (LSI). Finds that substantial numbers of students have not achieved the formal operation level of cognitive maturity. Emphasizes need to examine students learning style and…

Cognitive science research offers hope for the development of innovative science teaching strategies that facilitate the development of optimally interconnected procedural and declarative knowledge networks. Improving students' neural networks should improve their abilities to think critically, reason logically, learn more efficiently, and solve…

Thirty-seven normal and 33 gifted children from kindergarten classes and 26 retarded children from special classes with mean mental ages of 76 months, 80 months, and 72 months respectively, were initially tested for their understanding of the terms more, same, and less. All who had failed conservation of substance pretests using juice, sand, clay,…

The effects of age and intelligence levels upon word associations were studied in 96 intellectually retarded, normal, and superior children with IQ's of 65 to 80, 91 to 110, and 117 to 158 respectively. A word association and a word usage task (reliability coefficients of .91 and .98) called for homogeneous responses to six form classes--count…

Theory and research regarding four levels of concept attainment and three uses of concepts as specified by the conceptual learning and development (CLD) model are described. Assessment batteries were developed to assess each child's level of concept attainment and also the related use of the concepts equilateral triangle, cutting tool, and noun.…