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Direct linkRaychaudhuri, Debasree – International Journal of Mathematical Education in Science and Technology, 2014
Although there is no consensus in regard to a unique meaning for abstraction, there is a recognition of the existence of several theories of abstraction, and that the ability to abstract is imperative to learning and doing meaningful mathematics. The theory of "reducing abstraction" maps the abstract nature of mathematics to the nature…
Descriptors: Abstract Reasoning, Equations (Mathematics), Mathematics Education, Undergraduate Students
Peer reviewedSingh, Parmjit – International Journal of Mathematical Education in Science and Technology, 2000
Investigates the concepts of ratio and proportion constructed by grade 9 students by investigating their proportional reasoning schemes and procedures on three types of tasks: missing value, numerical comparison, and qualitative reasoning. Indicates that students frequently used additive reasoning--that is, a comparison of two numbers by…
Descriptors: Abstract Reasoning, Cognitive Processes, Concept Formation, Foreign Countries
