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Hoffman, Ruth I. – Instructor, 1975
Games of analysis or logical thinking are important reinforcers of various mathematics topics with children, and here the author suggests some games you might use. (Editor/RK)
Descriptors: Educational Games, Learning Processes, Logical Thinking, Mathematical Concepts
Stepans, Joseph – Journal of Developmental & Remedial Education, 1984
Presents placement test results showing a lack of understanding of basic math concepts among entering college students. Explains the application of the learning cycle model in teaching abstract mathematical concepts and offers examples of the model's use. (DMM)
Descriptors: Higher Education, Learning Processes, Learning Strategies, Learning Theories
Peer reviewedNugent, Wendy – Mathematics in School, 1990
Presents young children's concepts related to probability grouped by definite, possible, and definitely not. Discusses the teaching methods of the probability concepts. (YP)
Descriptors: Abstract Reasoning, Concept Formation, Early Childhood Education, Fundamental Concepts
Peer reviewedWatson, Jane – Australian Mathematics Teacher, 1991
It is difficult for students to unlearn misconceptions that have been unknowingly reinforced by teachers. The examples "multiplication makes bigger,""pi equals 22/7," and the use of counter examples to demonstrate the numerical property of closure are discussed as potential areas where misconceptions are fostered. (MDH)
Descriptors: Concept Formation, Division, Educational Diagnosis, Elementary Secondary Education
Peer reviewedCohn, Cheryl L. – College Teaching, 1995
A classroom exercise to help college students of economics conceptualize, create, and learn from graphs is described. The technique is illustrated with an exercise concerning the concept of supply and demand in consumer markets. Classroom time required for the activity is small, and students become adept at manipulating models without anxiety.…
Descriptors: Active Learning, Classroom Techniques, College Instruction, Concept Formation
Peer reviewedSfard, Anna – Educational Studies in Mathematics, 1991
This paper presents a theoretical framework for investigating the role of algorithms in mathematical thinking using a combined ontological-psychological outlook. The intent is to demonstrate that the processes of learning and of problem solving incorporate an elaborate interplay between operational and structural conceptualizations of the same…
Descriptors: Algorithms, Cognitive Development, Cognitive Structures, Concept Formation
Ashlock, Robert B. – Focus on Learning Problems in Mathematics, 1987
Focuses on the language used by elementary mathematics teachers and its relationship to students' understanding of mathematical concepts, as well as their misconceptions. Describes eight situations in which the use of precise, formal mathematical terms could be replaced by informal language, particularly when introducing new concepts. (TW)
Descriptors: Classroom Communication, Cognitive Structures, Discourse Analysis, Elementary Education
Keitel, Christine, Ed.; And Others – 1989
This document contains reports and papers from a conference focusing on the political dimension of mathematics education. The program was organized around four large themes: (1) "Mathematics Education and Culture" based on 13 papers; (2) "Society and Institutionalized Mathematics Education" based on 41 papers; (3) "Educational Institutions and the…
Descriptors: Cultural Influences, Culture, Elementary Secondary Education, Ethnomathematics
PDF pending restorationDavidson, Patricia S.; And Others – 1985
The Education Technology Center (ETC) Fractions Group works to investigate well-documented difficulties that children have in understanding fractions. A central assumption underlying this group's inquiry is that students' difficulties in manipulating fractions arise from their lack of understanding about the nature of fractions. In order to learn…
Descriptors: Arithmetic, Cognitive Processes, Cognitive Structures, Elementary School Mathematics
Peer reviewedMansfield, Helen M.; Happs, John C. – School Science and Mathematics, 1992
Reports misconceptions identified in students with respect to the topic of parallel lines and the teaching strategies found to be useful in challenging those misconceptions. (11 references) (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Cognitive Structures, Concept Formation
Peer reviewedSchwartz, James E. – Arithmetic Teacher, 1992
Describes the use and rationale of "Silent Teaching," a teaching technique in which the teacher remains silent as students generate and evaluate hypotheses while trying to understand an as-yet undiscovered concept. (MDH)
Descriptors: Classroom Techniques, Cognitive Development, Cognitive Processes, Concept Formation
