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English, Lyn D. – ZDM: Mathematics Education, 2023
This article proposes an interconnected framework, "Ways of thinking in STEM-based Problem Solving," which addresses cognitive processes that facilitate learning, problem solving, and interdisciplinary concept development. The framework comprises critical thinking, incorporating critical mathematical modelling and philosophical inquiry,…
Descriptors: STEM Education, Problem Solving, Cognitive Processes, Learning
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Geeslin, William E.; Shavelson, Richard J. – Journal for Research in Mathematics Education, 1975
Descriptors: Cognitive Processes, Instruction, Learning, Mathematical Concepts
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Osborne, Alan R. – National Council of Teachers of Mathematics Yearbook, 1976
After considering the mathematical system common to various types of measure, the author argues that instruction needs to reflect the common aspects of measure systems as well as the distinctive attributes of different systems. (SD)
Descriptors: Elementary Secondary Education, Geometric Concepts, Instruction, Learning
KENNEDY, LEONARD M. – 1967
THE PURPOSE OF THIS BOOK IS TO DESCRIBE LEARNING AIDS THAT MAY BE MADE BY A TEACHER OR CHILDREN FOR USE IN MATHEMATICS PROGRAMS IN THE ELEMENTARY SCHOOL. THESE AIDS ARE OF TWO TYPES--MANIPULATIVE AND VISUAL. DESCRIPTIONS IN THIS BOOK INCLUDE (1) THE PURPOSE OF THE TEACHING AID IN A MODERN MATHEMATICS PROGRAM, (2) EXAMPLES OF ITS USE, AND (3) ITS…
Descriptors: Arithmetic, Audiovisual Aids, Educational Media, Elementary School Mathematics
Godfrey, Leon D. – 1974
In this report, the theoretical background and procedures for a study of concept learning are discussed. Several definitions of the term "concept" are analyzed, and the relations among concepts, chains of concepts, and hierarchies of concepts are explored. Conceptual learning is discussed from several points of view, and axiom systems for the…
Descriptors: Algebra, College Mathematics, Discovery Learning, Doctoral Dissertations
Godfrey, Leon D. – 1974
In this volume, the results of a study of concept learning are presented. (The background for the study, and descriptions of the treatments--rote reception, rote discovery, conceptual reception, and conceptual discovery--are provided in Part 1.) Several hypotheses concerning the effectiveness of these treatments in learning concepts and on the…
Descriptors: Algebra, College Mathematics, Discovery Learning, Doctoral Dissertations
Higgins, Jon L., Ed. – 1976
Abstracts of 36 research reports are provided. The reports were prepared by investigators for presentation at the 55th annual meeting of the National Council of Teachers of Mathematics. A broad range of topics related to mathematics education is covered. Nine reports deal with problem solving, eight are concerned with instructional methods, five…
Descriptors: Elementary Secondary Education, Evaluation, Geometry, Instruction