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White, June Miller – Focus on Learning Problems in Mathematics, 1985
Inhelder and Piaget found that somewhere between 12 and 15 years of age, children's thinking shifted from concrete to formal operations. To determine if this shift occurs at approximately the same age for learning disabled children (N=27) compared to normal learning children (N=27) was the task of the study reported. (JN)
Descriptors: Cognitive Development, Cognitive Processes, Developmental Stages, Junior High Schools
Maksimov, L. K. – Focus on Learning Problems in Mathematics, 1993
Describes a method of teaching the order of mathematical operations based upon the psychological theory of conceptual generalization. (MDH)
Descriptors: Cognitive Development, Computation, Concept Formation, Elementary Education
Berenson, Sarah B.; And Others – Focus on Learning Problems in Mathematics, 1990
Assessed was the level of thinking of 140 students who had been placed in developmental algebra as entering college freshmen. Scores on the Group Assessment of Logical Thinking, Scholastic Aptitude Tests, college placement tests; high school grade point average, and developmental algebra final grade were analyzed. Group characteristics are…
Descriptors: Algebra, Cognitive Development, Cognitive Structures, College Freshmen
Bright, George W. – Focus on Learning Problems in Mathematics, 1987
How computers have affected diagnosis in mathematics is discussed. A distinction is made between errors and mistakes, followed by consideration of computers as a diagnostic tool. The development of algorithms to diagnose errors and of models of student performance is described. (MNS)
Descriptors: Cognitive Development, Computer Assisted Instruction, Diagnostic Teaching, Elementary Secondary Education
Yarmish, Rina – Focus on Learning Problems in Mathematics, 1990
Identified is research related to concept formation; the chronology of identity and equivalence conservations; the relationship of mental age to performance on number concept tasks; perceptual, attentional, linguistic, and social factors; and the potential use of cognitive developmental criteria as measures of ability for both normal and retarded…
Descriptors: Cognitive Development, Cognitive Structures, Elementary School Mathematics, Elementary Secondary Education
Cobb, Paul – Focus on Learning Problems in Mathematics, 1991
Challenged is the traditional model for the transmission of mathematics in the elementary school classroom. An inquiry approach to learning mathematics is proposed and supported with results of a year long research project that exposed second graders to mathematical learning experiences using this approach. (MDH)
Descriptors: Beliefs, Cognitive Development, Cognitive Processes, Concept Formation
Bradley, Carol A. – Focus on Learning Problems in Mathematics, 1990
Explored were the relationships among students' mathematics language facility, procedural mathematics knowledge, and understanding and application of mathematics concepts. Findings indicate that students needed both procedural knowledge and language facility in mathematics for an acceptable level of conceptual achievement. (CW)
Descriptors: Cognitive Development, Cognitive Structures, Computational Linguistics, Grade 7
