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Download full textMelike Yigit Koyunkaya; Burcak Boz-Yaman – International Electronic Journal of Mathematics Education, 2023
This study aims to examine the changes in students' mental constructions of function transformation based on the designed activities, classroom discussions, exercises (ACE) teaching cycle in the light of the action, process, object, schema (APOS) theoretical framework. The study was conducted by seven volunteer students who were enrolled in…
Descriptors: Foreign Countries, Mathematics Education, Mathematical Concepts, Learning Processes
Direct linkZiegler, Esther; Edelsbrunner, Peter A.; Star, Jon R. – Journal of Educational Psychology, 2019
Introducing new concepts to learners in an order of increasing complexity appears to be beneficial for learning, but typically introduction of concepts does not always adhere to this principle. We examined whether introducing new algebra concepts in a contrasted manner or in an order of increasing complexity instead of a different more typical…
Descriptors: Interference (Learning), Difficulty Level, Algebra, Mathematics Instruction
Peterson, Susan K.; And Others – Learning Disabilities Research, 1988
The study compared two methods of teaching an initial place value skill: a concrete, semiconcrete, abstract teaching sequence and an abstract-only presentation. Learning-disabled elementary and middle school students (N=24) using the concrete to abstract teaching sequence performed significantly better on three posttests than students taught the…
Descriptors: Concept Formation, Elementary Education, Instructional Effectiveness, Learning Disabilities
Peer reviewedMiller, Susan Peterson; Mercer, Cecil D. – Learning Disabilities Research and Practice, 1993
Nine students (ages 7 to 11) with math disabilities were effectively taught using an instructional sequence that moved from the concrete to the semiconcrete to the abstract. Subjects needed between three and seven lessons using manipulative devices and pictures before being able to do abstract-level problems. (Author/DB)
Descriptors: Abstract Reasoning, Concept Formation, Elementary Education, Instructional Effectiveness
Peer reviewedMiller, Susan Peterson; And Others – Intervention in School and Clinic, 1992
This article presents the "concrete semiconcrete abstract" (CSA) teaching sequence for teaching basic math skills to students with and without learning disabilities. Guidelines include providing a minimum of nine instructional lessons (three at each level), each with four lesson steps. Validation of the CSA sequence and lesson format with 15…
Descriptors: Abstract Reasoning, Classroom Techniques, Concept Formation, Elementary School Mathematics
Usnick, Virginia E. – Focus on Learning Problems in Mathematics, 1992
This study compared the effectiveness of teaching multidigit addition of whole numbers without regrouping prior to teaching it with regrouping to teaching multidigit addition with and without regrouping simultaneously. Pretest/posttest-delayed posttest results of second grade students (n=151) from seven randomly assigned classrooms indicated no…
Descriptors: Addition, Cognitive Development, Cognitive Processes, Computation
