Pipit, Firmanti (2014) THE PROCESS OF DEDUCTIVE THINKING AT 8TH GRADE STUDENTS WITH HIGH MATH SKILL IN COMPLETING GEOMETRIC PROOF. Proceeding of International Conference On Research, Implementation And Education Of Mathematics And Sciences 2014. (Submitted)
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Abstract
Nowadays, deductive thinking begins to attract more attention in the field of mathematics education especially for geometry. A deductive thinking can be noticed as the way of deduction from general to specific statement. In other words, the process consists of three steps started with making general statement (GS), specific statement (SS) and conclusion(C). General statement can be seen as axioms, definitions, and theorems. Meanwhile, specific statement deals with general statement. Lastly, conclusion is obtained from both of the statement. The objective of this study is to describe the process of deductive thinking at grade 8 th student in solving geometric proof. The description is formulated based on the process of deductive thinking at student’s exploration when she constructed a proof of theorem that has never been completed. In the collection of data, the subject is a student who had high math skill in mathematics. The researcher employs three types of instruments; mathematics ability test determines the participant who get high score ( ), problem solving task (TPM) describes the process of deductive thinking as well as the interview guidance. The study reveals that the subject attempt to accomplish geometric proof problems. The process of deductive thinking can be noticed as: two angles are supplementary if they add up to 180 0 (GS); and are supplementary angle (SS); and <ACQ + <ACB = 180 0 , <ACB=180 - <ACQ (C). Then, the sum of the interior angles in each triangle contains 180 0 (GS); ABC is triangle (SS); <A + <B + <C 180 0 - <RAB)+ (180 - <CBP) + (180 - <ACQ) = 180 , (C).
Item Type: | Article |
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Uncontrolled Keywords: | deductive thinking, geometric proof, high math skill. |
Subjects: | Prosiding > ICRIEMS 2014 > MATHEMATICS & MATHEMATICS EDUCATION |
Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Pendidikan Matematika > Pendidikan Matematika |
Depositing User: | Eprints |
Date Deposited: | 12 Nov 2014 12:13 |
Last Modified: | 12 Nov 2014 12:13 |
URI: | http://eprints.uny.ac.id/id/eprint/11577 |
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