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http://dx.doi.org/10.7468/jksmee.2020.34.3.355

A study on understanding of infinite series  

Oh, Hye-Young (Department of Mathematics Education, Incheon National University)
Publication Information
Communications of Mathematical Education / v.34, no.3, 2020 , pp. 355-372 More about this Journal
Abstract
The concept of infinite series is an important subject of major mathematics curriculum in college. For several centuries it has provided learners not only counter-intuitive obstacles but also central role of analysis study. As the understanding in concept on infinite series became foundation of development of calculus in history of mathematics, it is essential to present students to study higher mathematics. Most students having concept of infinite sum have no difficulty in mathematical contents such as convergence test of infinite series. But they have difficulty in organizing concept of infinite series of partial sum. Thus, in this study we try to analyze construct the concept of infinite series in terms of APOS theory and genetic decomposition. By checking to construct concept of infinite series, we try to get an useful educational implication on teaching of infinite series.
Keywords
infinite series; partial sum; sequence; APOS theory; limit;
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