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Peer reviewedBlum, Werner; Kirsch, Arnold – Educational Studies in Mathematics, 1991
Developed is a working definition of the concept of preformal proof through the analyses of an action proof, a geometric-intuitive proof, and a reality-oriented proof of a differential equation. Instructional problems for teachers and learners in connection with preformal proofs are pointed out. (MDH)
Descriptors: Calculus, Differential Equations, Learning Strategies, Mathematical Logic
Peer reviewedCatania, Giovanna – Physics Education, 1987
Criticizes the current method of formalization in Italian schools and the use of tools of the mathematical method. Proposes a general three-stage formalization method which can used for physical quantities, the particular significance of certain quantities, and the description and interpretation of phenomena. (TW)
Descriptors: Cognitive Processes, Foreign Countries, Learning Strategies, Mathematical Applications
Peer reviewedBodner, George M.; McMillen, Theresa L. B. – Journal of Research in Science Teaching, 1986
Examines the hypothesis that there are preliminary stages in problem solving that are often neglected in teaching chemistry. Discusses correlations calculated between the student's ability to handle disembedding and cognitive restructuring tasks in the spatial domain and ability to solve chemistry problems. (TW)
Descriptors: Algorithms, Chemistry, Cognitive Processes, College Science
Peer reviewedNiaz, Mansoor – Journal of Chemical Education, 1989
Defines M-demand as the maximum number of schemes that the subject must activate simultaneously in the course of executing a task. Discusses the effect of M-demand on problem solving. Uses algorithms to reduce M-demand. Describes the role of algorithms in problem solving. (MVL)
Descriptors: Algorithms, Chemistry, Cognitive Development, Cognitive Processes
Peer reviewedOldfield, Bernarde J. – Mathematics in School, 1991
The use of strategies is an important part of mathematical thinking. Presented are several games that help develop the reasoning strategies of hypothesis making and testing, proving and disproving, looking for patterns, and simplifying a difficult task. (MDH)
Descriptors: Abstract Reasoning, Algebra, Class Activities, Educational Games
Direct linkClements, Douglas H., Ed.; DiBiase, Ann-Marie, Ed.; Sarama, Julie, Ed. – Lawrence Erlbaum Associates (Bks), 2004
This book brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's…
Descriptors: Early Childhood Education, Mathematics Teachers, Guidelines, Young Children
