Penyelesaian masalah trigonometri dalam kalangan pelajar matrikulasi: Satu kajian kes

Competency in the subject of Trigonometry is crucial for the learning of Mathematics at higher levels. Trigonometric Functions are related to algebra, graph reasoning and calculus. Unfortunately, for some students, the initial stages of learning about Basic Trigonometric Functions are fraught with d...

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Main Author: Sharimah, Ibrahim
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Language:eng
eng
Published: 2014
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https://etd.uum.edu.my/4471/2/s807530_abstract.pdf
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institution Universiti Utara Malaysia
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language eng
eng
advisor Md Ali, Ruzlan
topic LB2300 Higher Education
QA Mathematics
spellingShingle LB2300 Higher Education
QA Mathematics
Sharimah, Ibrahim
Penyelesaian masalah trigonometri dalam kalangan pelajar matrikulasi: Satu kajian kes
description Competency in the subject of Trigonometry is crucial for the learning of Mathematics at higher levels. Trigonometric Functions are related to algebra, graph reasoning and calculus. Unfortunately, for some students, the initial stages of learning about Basic Trigonometric Functions are fraught with difficulties. As a concequence, students often made errors when solving questions in Trigonometry. Students who have a weak understanding of basic concepts in Trigonometry may faced difficulty in understanding Sine and Cosine functions. The purpose of this study was to explore the understanding of Basic Trigonometry and Trigonometric Functions of Sine and Cosine among students in a Matriculation College. The study also explored the process and common errors students made when solving Trigonometric questions. This qualitative multi-case study was carried out on 60 One-Year Program (PST) students enrolled in three Modules. The data for the study was obtained via a written test, the Trigonometry Understanding Test (UPT), which consisted of six items. The identification of types of understanding was based on Skemp‟s (1982) notion of relational and instrumental understanding, Hiebert and Lefevre‟s (1986) view of conceptual and procedural understanding, and also Gray and Tall‟s (1995) ideas of proceptual knowledge. Four subjects were selected for the clinical interviews and were selected based on their achievement in the UPT. The results of the study showed that the research subjects‟ understanding of Basic Trigonometry was limited to instrumental and procedural understandings. The subjects did not indicate understanding of Basic Trigonometric Functions as procept. Their solutions for the Basic Trigonometry questions were mainly establishing procedures for getting the right answers. The common errors made included carelessness and calculation errors, failure to perform basic multiplication of fractions, and the inability to understand symbolism in Basic Trigonometry, which explained their inability to use the formulas correctly when solving trigonometric questions. Integration of conceptual, procedural and proceptual understanding could contribute to the construction of meaningful understanding of the Trigonometric Functions. This study contributes to the research findings in mathematics education and the formation of policy related to the development of mathematics education curriculum for matriculation students.
format Thesis
qualification_name masters
qualification_level Master's degree
author Sharimah, Ibrahim
author_facet Sharimah, Ibrahim
author_sort Sharimah, Ibrahim
title Penyelesaian masalah trigonometri dalam kalangan pelajar matrikulasi: Satu kajian kes
title_short Penyelesaian masalah trigonometri dalam kalangan pelajar matrikulasi: Satu kajian kes
title_full Penyelesaian masalah trigonometri dalam kalangan pelajar matrikulasi: Satu kajian kes
title_fullStr Penyelesaian masalah trigonometri dalam kalangan pelajar matrikulasi: Satu kajian kes
title_full_unstemmed Penyelesaian masalah trigonometri dalam kalangan pelajar matrikulasi: Satu kajian kes
title_sort penyelesaian masalah trigonometri dalam kalangan pelajar matrikulasi: satu kajian kes
granting_institution Universiti Utara Malaysia
granting_department Awang Had Salleh Graduate School of Arts & Sciences
publishDate 2014
url https://etd.uum.edu.my/4471/1/s807530.pdf
https://etd.uum.edu.my/4471/2/s807530_abstract.pdf
_version_ 1747827742552883200
spelling my-uum-etd.44712016-04-25T01:07:04Z Penyelesaian masalah trigonometri dalam kalangan pelajar matrikulasi: Satu kajian kes 2014 Sharimah, Ibrahim Md Ali, Ruzlan Awang Had Salleh Graduate School of Arts & Sciences Awang Had Salleh Graduate School of Arts and Sciences LB2300 Higher Education QA Mathematics Competency in the subject of Trigonometry is crucial for the learning of Mathematics at higher levels. Trigonometric Functions are related to algebra, graph reasoning and calculus. Unfortunately, for some students, the initial stages of learning about Basic Trigonometric Functions are fraught with difficulties. As a concequence, students often made errors when solving questions in Trigonometry. Students who have a weak understanding of basic concepts in Trigonometry may faced difficulty in understanding Sine and Cosine functions. The purpose of this study was to explore the understanding of Basic Trigonometry and Trigonometric Functions of Sine and Cosine among students in a Matriculation College. The study also explored the process and common errors students made when solving Trigonometric questions. This qualitative multi-case study was carried out on 60 One-Year Program (PST) students enrolled in three Modules. The data for the study was obtained via a written test, the Trigonometry Understanding Test (UPT), which consisted of six items. The identification of types of understanding was based on Skemp‟s (1982) notion of relational and instrumental understanding, Hiebert and Lefevre‟s (1986) view of conceptual and procedural understanding, and also Gray and Tall‟s (1995) ideas of proceptual knowledge. Four subjects were selected for the clinical interviews and were selected based on their achievement in the UPT. The results of the study showed that the research subjects‟ understanding of Basic Trigonometry was limited to instrumental and procedural understandings. The subjects did not indicate understanding of Basic Trigonometric Functions as procept. Their solutions for the Basic Trigonometry questions were mainly establishing procedures for getting the right answers. The common errors made included carelessness and calculation errors, failure to perform basic multiplication of fractions, and the inability to understand symbolism in Basic Trigonometry, which explained their inability to use the formulas correctly when solving trigonometric questions. Integration of conceptual, procedural and proceptual understanding could contribute to the construction of meaningful understanding of the Trigonometric Functions. 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