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Peer reviewedBattista, Michael T. – Journal for Research in Mathematics Education, 1994
Discusses the spatial aspects of Greeno's model of conceptual domains and applies the theory to geometry learning. Examines the relationship between mathematical and spatial thinking in light of Greeno's environmental/spatial view of learning. (Contains 16 references.) (MDH)
Descriptors: Abstract Reasoning, Cognitive Mapping, Educational Theories, Elementary Secondary Education
Peer reviewedFischbein, Efraim; And Others – For the Learning of Mathematics, 1990
Described is research which sought to prove the hypothesis that mental models tend to preserve their autonomy with regard to the originals they are meant to represent. The results of this investigation involving 200 Israeli students are presented. (CW)
Descriptors: Cognitive Structures, Foreign Countries, Geometry, Learning Processes
Download full textAnderson, John R.; And Others – 1986
Research on intelligent tutoring seeks to develop systems for automating education and to explore epistemological issues concerning the nature of the knowledge presented by tutors and how that knowledge can be learned. The ACT theory of skill acquisition and its successor (PUPS--PenUltimate Production System) provides production-system models of…
Descriptors: Algebra, Artificial Intelligence, Cognitive Psychology, Cognitive Structures
Peer reviewedSabbah, Daniel – Cognitive Science, 1985
Summarizes an initial foray in tackling artificial intelligence problems using a connectionist approach. The task chosen is visual recognition of Origami objects, and the questions answered are how to construct a connectionist network to represent and recognize projected Origami line drawings and the advantages such an approach would have. (30…
Descriptors: Artificial Intelligence, Cognitive Processes, Computer Graphics, Geometry
Peer reviewedOr-Bach, Rachel; Arcavi, Abraham – Journal of Mathematical Behavior, 1992
Presents a model of the tutoring process that takes into account the evolving tutor/student relationship and the subject matter concerns that the tutor is helping the student master. Reports illustrative data from case studies from which the model is derived. (15 references) (MDH)
Descriptors: Analytic Geometry, Case Studies, Cognitive Processes, Elementary Secondary Education
International Group for the Psychology of Mathematics Education. – 1986
The papers presented in these proceedings are organized into seven categories: (1) number and number operations (13 papers); (2) spatial representation and geometrical understanding (10 papers); (3) developing and/or using models of mathematical learning (15 papers); (4) mathematical concept formation (17 papers); (5) the mathematical learning…
Descriptors: Academic Achievement, Computer Assisted Instruction, Concept Formation, Elementary School Mathematics
Peer reviewedMeijer, Joost; Riemersma, Fre – Instructional Science, 1986
Presents thinking-aloud protocols from secondary pupils solving arithmetic story and geometrical problems and analyzes their protocols by using interpretation models founded on a general problem-solving model. A word problem solving simulation is also used to further explicate processes pupils use to solve mathematical tasks. (Author/MBR)
Descriptors: Algorithms, Computer Simulation, Educational Theories, Foreign Countries
Lajoie, Susanne P., Ed.; Derry, Sharon J., Ed. – 1993
This book provides exemplars of the types of computer-based learning environments represented by the theoretical camps within the field and the practical applications of the theories. The contributors discuss a variety of computer applications to learning, ranging from school-related topics such as geometry, algebra, biology, history, physics, and…
Descriptors: Artificial Intelligence, Biology, Cognitive Processes, Computer Assisted Instruction
