Advanced Mathematical Thinking dalam Pembelajaran Matematika Tingkat Lanjut
نویسندگان
چکیده
منابع مشابه
The Nature of Advanced Mathematical Thinking
ion is the isolation of specific attributes of a concept so that they can be considered separately from the other attributes. Abstraction is often coupled with generalization. But the two are by no means synonymous. For instance, the solution of linear equations in two variables may be seen as a generalization to the process of solving linear equations in three variables. Although one may argue...
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The computer can be used as a tool to complement advanced mathematical thinking in a variety of ways. In research it has been used to provide data to suggest possible theorems, to seek counter-examples and to carry out onerous computations to prove theorems involving only a finite number of algorithmic cases. In education it can be used for the same objectives, and for one other major purpose: ...
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Our purpose in this chapter is to propose that the concept of reflective abstraction can be a powerful tool in the study of advanced mathematical thinking, that it can provide a theoretical basis that supports and contributes to our understanding of what this thinking is and how we can help students develop the ability to engage in it. To make such a case completely, it would be necessary to do...
متن کاملReflections on APOS theory in Elementary and Advanced Mathematical Thinking
What are the processes by which we construct mathematical concepts? What is the nature of the cognitive entities constructed in this process? Based on the theories of cognitive construction developed by Piaget for younger children, Dubinsky proposed APOS theory to describe how act ions become interiorized into processes and then encapsulated as mental objects, which take their place in more sop...
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This paper focuses attention on psychological evidence of relevance to advanced mathematical thinking. It considers Edelman’s theory of neural Darwinism and Paivio’s theory of dual coding and contemplates how they reveal different perspectives in mathematics education. The former is consonant with the notion of concept image with both supportive and conflicting mental resonances, the latter is ...
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ژورنال
عنوان ژورنال: JKPM (Jurnal Kajian Pendidikan Matematika)
سال: 2019
ISSN: 2477-2682,2477-2348
DOI: 10.30998/jkpm.v5i1.5194