Keupayaan penyelesaian masalah persamaan Surd dalam kalangan pelajar Kolej Matrikulasi Kedah: Kes pemahaman dan kesalahan lazim Matematik

Keupayaan penyelesaian masalah persamaan Surd dalam kalangan pelajar Kolej Matrikulasi Kedah: Kes pemahaman dan kesalahan lazim Matematik

Students' weak understanding of Surd concepts had resulted in their tendency to make errors when solving Surd equation problems. Having an appropriate understanding of Surd is crucial because Surd concepts function as prerequisite knowledge that students need in order to acquire other topics i...

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Main Author: Che Yom, Zakaria
Format: Thesis
Language:eng
eng
Published: 2014
Subjects:
L Education (General)
QA Mathematics
Online Access:https://etd.uum.edu.my/4476/1/s807514.pdf
https://etd.uum.edu.my/4476/2/s807514_abstract.pdf
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institution Universiti Utara Malaysia
collection UUM ETD
language eng
eng
advisor Md Ali, Ruzlan
topic L Education (General)
QA Mathematics
spellingShingle L Education (General)
QA Mathematics
Che Yom, Zakaria
Keupayaan penyelesaian masalah persamaan Surd dalam kalangan pelajar Kolej Matrikulasi Kedah: Kes pemahaman dan kesalahan lazim Matematik
description Students' weak understanding of Surd concepts had resulted in their tendency to make errors when solving Surd equation problems. Having an appropriate understanding of Surd is crucial because Surd concepts function as prerequisite knowledge that students need in order to acquire other topics in mathematics. Having a fragile understanding of Surd concepts could result in the students‟ inability to sustain their mathematics performance at higher educational levels. This study was carried out to explore the Kedah Matriculation College students‟ understanding of Surd equations and to identify their common errors when solving such equations problems. The determination of students‟ understanding was based on Skemp‟s (1976) notion of instrumental and relational understanding. The current study also set out to examine the students‟ practice of checking of final answers when solving the problems based on Polya Problem Solving Model (1945) and their ability to perform the process of squaring. More specifically, it analyzed students‟ problem solving of errors according to the five levels of Newman Error Analysis. Fifty-one One-Year Programme (PST) students enrolled in three modules participated in the study. The Surd Equations Test was used to explore the solutions provided by the students. A clinical interview protocol was designed by the researcher. The results indicated that quite a large number of students possessed instrumental understanding compared to those who possessed the requisite relational understanding. It was found that students made errors in processing skills whereby they were unable to perform the process of squaring. The majority of the students had failed to check their answers for the first and second items and tended to perform the checking only if there were two solutions to the Surd problems. Despite having only an instrumental understanding of the squaring process, the students were still able to solve the Surd equations problems. They were however, limited to the forms that were previously learned. Hence, there is a need for Mathematics educators to emphasize on relational understanding as well as instrumental understanding during the Surd teaching and learning process. 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 Che Yom, Zakaria
author_facet Che Yom, Zakaria
author_sort Che Yom, Zakaria
title Keupayaan penyelesaian masalah persamaan Surd dalam kalangan pelajar Kolej Matrikulasi Kedah: Kes pemahaman dan kesalahan lazim Matematik
title_short Keupayaan penyelesaian masalah persamaan Surd dalam kalangan pelajar Kolej Matrikulasi Kedah: Kes pemahaman dan kesalahan lazim Matematik
title_full Keupayaan penyelesaian masalah persamaan Surd dalam kalangan pelajar Kolej Matrikulasi Kedah: Kes pemahaman dan kesalahan lazim Matematik
title_fullStr Keupayaan penyelesaian masalah persamaan Surd dalam kalangan pelajar Kolej Matrikulasi Kedah: Kes pemahaman dan kesalahan lazim Matematik
title_full_unstemmed Keupayaan penyelesaian masalah persamaan Surd dalam kalangan pelajar Kolej Matrikulasi Kedah: Kes pemahaman dan kesalahan lazim Matematik
title_sort keupayaan penyelesaian masalah persamaan surd dalam kalangan pelajar kolej matrikulasi kedah: kes pemahaman dan kesalahan lazim matematik
granting_institution Universiti Utara Malaysia
granting_department Awang Had Salleh Graduate School of Arts & Sciences
publishDate 2014
url https://etd.uum.edu.my/4476/1/s807514.pdf
https://etd.uum.edu.my/4476/2/s807514_abstract.pdf
_version_ 1747827743989432320
spelling my-uum-etd.44762022-05-18T01:53:15Z Keupayaan penyelesaian masalah persamaan Surd dalam kalangan pelajar Kolej Matrikulasi Kedah: Kes pemahaman dan kesalahan lazim Matematik 2014 Che Yom, Zakaria Md Ali, Ruzlan Awang Had Salleh Graduate School of Arts & Sciences Awang Had Salleh Graduate School of Arts and Sciences L Education (General) QA Mathematics Students' weak understanding of Surd concepts had resulted in their tendency to make errors when solving Surd equation problems. Having an appropriate understanding of Surd is crucial because Surd concepts function as prerequisite knowledge that students need in order to acquire other topics in mathematics. Having a fragile understanding of Surd concepts could result in the students‟ inability to sustain their mathematics performance at higher educational levels. This study was carried out to explore the Kedah Matriculation College students‟ understanding of Surd equations and to identify their common errors when solving such equations problems. The determination of students‟ understanding was based on Skemp‟s (1976) notion of instrumental and relational understanding. The current study also set out to examine the students‟ practice of checking of final answers when solving the problems based on Polya Problem Solving Model (1945) and their ability to perform the process of squaring. More specifically, it analyzed students‟ problem solving of errors according to the five levels of Newman Error Analysis. Fifty-one One-Year Programme (PST) students enrolled in three modules participated in the study. The Surd Equations Test was used to explore the solutions provided by the students. A clinical interview protocol was designed by the researcher. The results indicated that quite a large number of students possessed instrumental understanding compared to those who possessed the requisite relational understanding. It was found that students made errors in processing skills whereby they were unable to perform the process of squaring. The majority of the students had failed to check their answers for the first and second items and tended to perform the checking only if there were two solutions to the Surd problems. Despite having only an instrumental understanding of the squaring process, the students were still able to solve the Surd equations problems. They were however, limited to the forms that were previously learned. Hence, there is a need for Mathematics educators to emphasize on relational understanding as well as instrumental understanding during the Surd teaching and learning process. 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. 2014 Thesis https://etd.uum.edu.my/4476/ https://etd.uum.edu.my/4476/1/s807514.pdf text eng public https://etd.uum.edu.my/4476/2/s807514_abstract.pdf text eng public masters masters Universiti Utara Malaysia Abd.Wahid Md Raji, Hamisan Rahmat, Ismail Kamis, Mohd Nor Mohamad, & Ong Chee Tiong. (2002). Matematik asas. Johor Bharu: Penerbit Universiti Teknologi Malaysia. Abdul Jalil Othman & Bahtiar Omar. (2005). Aplikasi pembelajaran secara konstruktivisme dalam pengajaran karangan-berpandu. Majalah Pendidikan. Universiti Malaya. 221-230. Ambrose, R. (2005). Exploring the use of clinical interviews in teacher development. Diakses dari www.msu.edu/~crespo/discusgrpinter views.pdf. Ary, D., Jacobs, L.C., Razavieh, A., & Sorensen, C. (2006). Introduction to research education. (7th edition). 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