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Derry, Sharon J.; Wilsman, Margaret J.; Hackbarth, Alan J. – Mathematical Thinking and Learning: An International Journal, 2007
Findings from an on-going design experiment within a year-long graduate course for middle school teachers of mathematics are reported. The purpose of the course was to help teachers assist students in transitioning from arithmetic to algebraic reasoning. Goals included developing teachers' ability to interpret, compare, and generalize across…
Descriptors: Group Discussion, Scoring Rubrics, Middle School Teachers, Mathematics Teachers
Hershkowitz, Rina; Hadas, Nurit; Dreyfus, Tommy; Schwarz, Baruch – Mathematics Education Research Journal, 2007
A model for processes of abstraction, based on epistemic actions, has been proposed elsewhere. Here we apply this model to processes in which groups of individual students construct shared knowledge and consolidate it. The data emphasizes the interactive flow of knowledge from one student to the others in the group, until they reach a shared…
Descriptors: Foreign Countries, Learning Processes, Probability, Epistemology
Thayer-Bacon, Barbara J. – 1996
This paper examines past theories and conceptions of epistemology and the work of some key theorists currently working in the field, in the hope of motivating the development of an expanded conception and redescription of epistemology. The paper uses as a metaphor for the study six blind men who describe an elephant as like a rope, a tree, a fan,…
Descriptors: Abstract Reasoning, Cognitive Processes, Constructivism (Learning), Critical Theory
Cole, Michael – 1993
For a specialist from the communication discipline, studying with Alexander Luria, who had been a colleague of Lev Vygotsky in the l920's, provided insights into the Soviet psychologist's ideas about mediation and mind and how writing fits into those ideas. According to Luria, Vygotsky was a methodologist who worried about what kinds of methods…
Descriptors: Abstract Reasoning, Cultural Influences, Elementary Education, Higher Education
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Linde, Charlotte; Labov, William – Language, 1975
An initial description of the links between cognitive input, discourse rules, and the rules of sentence grammar is made, based on a technique developed for observing the translation of cognitive input into language in a spontaneous, practical speech event: descriptions of the lay-outs of apartments. (Author/RM)
Descriptors: Abstract Reasoning, Cognitive Processes, Discourse Analysis, Language Research
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Bates, Gary C. – Science Teacher, 1975
Advocates (1) breaking the lock-step sequencing of courses which places physics at the end of a three-year sequence, (2) adjusting grading procedures to bring them in line with other school courses, and (3) translating abstract concepts into concrete analogies in order to increase physics enrollment. (CP)
Descriptors: Abstract Reasoning, Enrollment, Enrollment Trends, Grading
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Salomon, Marion Kerner; Achenbach, Thomas M. – American Educational Research Journal, 1974
Descriptors: Abstract Reasoning, Association (Psychology), Cues, Grade 5
Shinghal, Rajjan; Le Xuan, Albert – 1989
This paper describes the methods and techniques called Conceptual Analysis (CA), a rigorous procedure to generate (without involuntary omissions and repetitions) knowledge bases for the development of knowledge-based systems. An introduction is given of CA and how it can be used to produce knowledge bases. A discussion is presented on what is…
Descriptors: Abstract Reasoning, Cognitive Structures, Concept Formation, Concept Teaching
Miller, Arden T.; Nicholls, John G. – 1986
Discussed are research methods used to measure developmental changes in children's reasoning about ability. While adults generally differentiate ability, effort, luck, and task difficulty as causes for success and failure, children progressively think that effort or outcome is ability (level 1), that effort is the cause of performance outcomes…
Descriptors: Ability, Abstract Reasoning, Child Development, Developmental Stages
Chi, Michelene T. H.; And Others – 1988
Three studies examined the domain of concepts about dinosaurs in order to assess how the domain might be structured in 4- through 7-year-old children's representations and to explore how the knowledge might be used. Findings indicated that significant differences exist in the way expert and novice children's representations are structured.…
Descriptors: Abstract Reasoning, Classification, Cognitive Ability, Cognitive Structures
Langford, Peter E. – 1988
A multidimensional model of the growth of moral reasoning is described that is significantly different from those proposed by Kohlberg and Piaget. A study that tests several aspects of the model on university students is reported. The suggestion that well-developed chains of reasons are a prerequisite for the emergence of metaethical reasoning was…
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Processes, Ethics
Engelen, Ron J. H.; And Others – 1987
This paper contains an elementary and short proof for the case that the underlying distribution function F is discrete, and then extends the result to the general F. In other proofs underlying iid sequences of random variables with continuous distributions are considered to be the "ideal" case. In this paper discretization of the underlying iid…
Descriptors: Abstract Reasoning, Algebra, Calculus, College Mathematics
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Hoemann, Harry W.; And Others – Journal of Speech and Hearing Research, 1974
Descriptors: Abstract Reasoning, Children, Deafness, Exceptional Child Research
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Suppes, Patrick – Review of Educational Research, 1974
Literature on cognition is surveyed with a special emphasis on the development of academic skills in handicapped children. (Author/KM)
Descriptors: Abstract Reasoning, Blindness, Cognitive Development, Deafness
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Lutkus, Anthony; Trabasso, Tom – American Journal of Mental Deficiency, 1974
Descriptors: Abstract Reasoning, Adolescents, Cognitive Development, Concept Formation
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