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Direct linkTillema, Erik S.; Burch, Lori J. – ZDM: Mathematics Education, 2022
This paper presents data from the first of three iterations of teaching experiments conducted with secondary teachers. The purpose of the experiments was to investigate how teachers' combinatorial reasoning could support their development of algebraic structure, specifically structural relationships between the roots and coefficients of…
Descriptors: Secondary School Students, Algebra, Mathematics Instruction, Generalization
Download full textDreyfus, Tommy; And Others – 1997
This exploratory study had two goals: (1) to identify signs of abstraction and consolidation of abstractions of functional concepts in students in a situation-based curriculum; and (2) to use theoretical arguments as well as experimental evidence in order to shape notions of abstraction and consolidation of abstractions. The methodology was…
Descriptors: Abstract Reasoning, Computer Assisted Instruction, Computer Software, Concept Formation
Romberg, Thomas A., Ed.; Stewart, Deborah M., Ed. – 1987
This document is the second of three related volumes. They present the rationale, background, and framework for a comprehensive monitoring system being developed for the National Science Foundation. The system is being designed to gather information about the effects of national, state, and local policy actions designed to change the teaching and…
Descriptors: Abstract Reasoning, Attitude Measures, Curriculum Development, Educational Assessment
