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Vinner, Shlomo – Focus on Learning Problems in Mathematics, 1990

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)

Descriptors: Abstract Reasoning, Classification, Cognitive Development, Cognitive Dissonance

Usnick, Virginia E. – Focus on Learning Problems in Mathematics, 1992

This study compared the effectiveness of teaching multidigit addition of whole numbers without regrouping prior to teaching it with regrouping to teaching multidigit addition with and without regrouping simultaneously. Pretest/posttest-delayed posttest results of second grade students (n=151) from seven randomly assigned classrooms indicated no…

Descriptors: Addition, Cognitive Development, Cognitive Processes, Computation

Hope, Jack A.; Owens, Douglas T. – Focus on Learning Problems in Mathematics, 1987

Reviewed is research indicating problems in teaching and learning fractions and possible ways to improve instruction and learning. (RH)

Descriptors: Academic Achievement, Concept Formation, Elementary Education, Elementary School Mathematics

Ross, Sharon H. – Focus on Learning Problems in Mathematics, 1990

The 5-stage model of Ross was used to examine the role of instruction in facilitating children's acquisition of place value knowledge. Compares children from 2 samples on 10 tasks designed to reveal their thinking about place value. Discusses implications for theory and classroom. (YP)

Descriptors: Arithmetic, Elementary Education, Elementary School Mathematics, Mathematical Concepts

Borasi, Raffaella; Agor, Barbara – Focus on Learning Problems in Mathematics, 1990

Recent contributions from theory, research, and practice in second-language instruction are discussed in relation to mathematics education. Three methods of teaching and learning second languages are described--"Delayed Oral Production," the "Silent Way," and the "Counseling Learning/Community Language Learning." (KR)

Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Structures, Cognitive Style

Tirosh, Dina – Focus on Learning Problems in Mathematics, 1990

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)

Descriptors: Abstract Reasoning, Classification, Cognitive Development, Cognitive Dissonance

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

Bush, William S.; And Others – Focus on Learning Problems in Mathematics, 1990

Describes the attitudes, conceptions, learning, and teaching of mathematics of three teachers to examine the effects of a sequence of college mathematics course. Discusses the implications for further research. (YP)

Descriptors: Attitude Change, Case Studies, Mathematics Teachers, Preservice Teacher Education

Tall, David – Focus on Learning Problems in Mathematics, 1990

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)

Descriptors: Abstract Reasoning, Calculus, Cognitive Development, Cognitive Dissonance

Usnick, Virginia; Engelhardt, Jon M. – Focus on Learning Problems in Mathematics, 1988

Describes a study designed to investigate the relationship between students' learning of the standard double-digit addition algorithm and basic fact mastery or numeration concepts. Results suggest basic fact mastery and knowledge of numeration concepts may not be as necessary as previously assumed to learning multidigit addition. (PK)

Descriptors: Addition, Basic Skills, Computation, Educational Research

Sharma, Mahesh C. – Focus on Learning Problems in Mathematics, 1986

Evidence on learning problems due to dyscalculia is surveyed. Definitions, factors responsible for dyscalculia, split-brain research and hemispheric roles, mathematics learning problems and personality, materials for instruction, and levels of knowing mathematics are among the topics discussed with an extensive list of references. (MNS)

Descriptors: Computation, Diagnostic Teaching, Dyscalculia, Educational Research

Sheffield, Linda Jensen – Focus on Learning Problems in Mathematics, 1987

Promotes mathematics instruction that goes beyond computation and problem solving, attempting to make children the "posers of problems." Addresses differences in hemisphericity, processing, and learning styles, as well as maturation differences, sex differences, effects of stimulation, enriched environments, emotion, and the control of attention.…

Descriptors: Attention Control, Brain Hemisphere Functions, Cognitive Style, Computation

Bruno, Rachelle M.; And Others – Focus on Learning Problems in Mathematics, 1988

Reports on a study designed to document that learning-disabled (LD) students make errors in estimating the passage of short time durations, and to determine if LD students were different than nondisabled in time estimation. Non-LD and LD students differed significantly in estimations of 15-second intervals, but not 3-second intervals. (PK)

Descriptors: Elementary Education, Elementary School Mathematics, Learning Disabilities, Mathematics Curriculum

Ross, Steven M.; And Others – Focus on Learning Problems in Mathematics, 1988

Reports on research designed to systematically examine how the use of personalized word problems as practice examples would affect learning and attitudes. A computer program was used to generate the problems. It was concluded that presenting problems in familiar contexts made materials more interesting and understandable for students. (PK)

Descriptors: Computer Assisted Instruction, Computer Uses in Education, Educational Research, Elementary Education

Schmidt, Mary Ellen; Callahan, Leroy G. – Focus on Learning Problems in Mathematics, 1992

A sampling of teachers (n=348) and principals (n=31) responded to a questionnaire designed to assess their beliefs about the effects of, experiences with, and impediments to calculator usage in elementary school mathematics. Results indicated that teachers expressed concern regarding negative effects of extensive calculator usage on mathematical…

Descriptors: Administrator Attitudes, Calculators, Change Agents, Educational Change