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Smith, John P., III; Hungwe, Kedmon – For the Learning of Mathematics, 1998
Explores the mathematical practices of three young mathematicians in an extended interview setting. Focuses on the interaction of discovery and verification, the role of conjecture in discovery, and the place of intuition and understanding in research. Indicates an interesting mismatch between how they valued their own guesses and how they reacted…
Descriptors: Cognitive Processes, Discovery Processes, Elementary Secondary Education, Learning Strategies
Warren, Thomas F. – 1985
In Southern Wisconsin and Northern Illinois a group of schools has united together to form the Beloit Educational Computing Consortium (BECC). A recent survey of selected teachers in BECC schools indicated that even though the schools do not consciously set out to teach creativity via computers, substantial creative behavior is demonstrated by the…
Descriptors: Cognitive Processes, Computer Assisted Instruction, Creative Development, Discovery Processes
Muller-Kalthoff, Thiemo; Moller, Jens – ALT-J: Research in Learning Technology, 2006
One of the key reasons that multimedia, and particularly hypertext systems, are gaining in importance is that they inspire hopes of optimizing learners' processes of knowledge construction. The present study is concerned with the respective influence of individual learner variables (i.e. particularly domain-specific prior knowledge) on the use of…
Descriptors: Instructional Design, Prior Learning, Hypermedia, College Students
Weaver, Laura H. – 1985
Focusing on how expert writers in various disciplines convey complex ideas, this paper shows how the techniques used by the mathematician, Clark Kimberling, in various writings can (1) be transferred to other disciplines, (2) show learning taking place, and (3) provide models for students to re-enact learning in all subject areas. The paper…
Descriptors: Cognitive Processes, Content Area Writing, Discovery Learning, Discovery Processes

Van Devender, Evelyn M. – School Science and Mathematics, 1992
Describes three activities that the teacher can employ to help students develop thinking skills through mathematics instruction: (1) memorization using the technique of chunking; (2) higher order thinking with magic squares; and (3) predicting games. Identifies eight facets of the teacher's role in promoting thinking skills. (MDH)
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Processes, Discovery Processes

Fulkerson, Paul – Arithmetic Teacher, 1992
Discusses how a single problem can be utilized to discuss mathematical skills and concepts at several different levels. Presents a problem involving fractions examined at the following four levels according to the abilities of the students: (1) finding solutions; (2) identifying methods for finding solutions; (3) exploring similar examples; and…
Descriptors: Algebra, Cognitive Processes, Cognitive Style, Cooperative Learning
Rubin, Rochelle L.; Norman, John T. – 1989
Previous research has shown a relationship between formal reasoning ability and science process skill attainment. It has been hypothesized that an increased emphasis on teaching process skills might enhance the formal thinking abilities of students. A variety of strategies have been proposed to better accomplish this task, most notable, the…
Descriptors: Cognitive Processes, Discovery Learning, Discovery Processes, Junior High Schools