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Developing Mathematical Knowledge and Skills through the Awareness Approach of Teaching and Learning
Cherif, Abour H.; Gialamas, Stefanos; Stamati, Angeliki – Journal of Education and Practice, 2017
Every object we think of or encounter, whether a natural or human-made, has a regular or irregular shape. In its own intrinsic conceptual design, it has elements of mathematics, science, engineering, and arts, etc., which are part of the object's geometric shape, form and structure. Geometry is not only an important part of mathematics, but it is…
Descriptors: Mathematics Education, Mathematics Skills, Skill Development, Mathematics Instruction

Glidden, Peter L. – Mathematics Teacher, 2001
Describes computation of a continued radical to approximate the golden ratio and presents two well-known geometric interpretations of it. Uses guided-discovery to investigate different repeated radicals to see what values they approximate, the golden-rectangle interpretation of these continued radicals, and the golden-section interpretation. (KHR)
Descriptors: Computation, Discovery Learning, Geometric Concepts, Learning Processes

Feinstein, Irwin K. – School Science and Mathematics, 1979
Numerous mathematical examples are presented which illustrate and raise questions about students' tendencies to overgeneralize. (BB)
Descriptors: Cognitive Processes, Concept Formation, Discovery Learning, Generalization

Kysh, Judith – Mathematics Teacher, 1991
Described is an alternative first year algebra program developed to bridge the gap between the NCTM's Curriculum and Evaluation Standards and institutional demands of schools. Increased attention is given to graphing as a context for algebra, calculator use, solving "memorable problems," and incorporating geometry concepts, while…
Descriptors: Algebra, Area, Calculators, Course Content
Gordon, Myles – 1990
This paper examines a range of studies done on the "Geometric Supposer" software and its use since the mid-1980s. It describes how the "Geometric Supposer" is a response to the call for reform by the mathematics community to create classroom environments that allow students to construct their own knowledge. This approach to…
Descriptors: Cognitive Development, Cognitive Processes, Computer Assisted Instruction, Computer Software