Tian Abdul Aziz
Universitas Muhammadiyah Prof. DR. HAMKA

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EXTERNAL REPRESENTATION FLEXIBILITY OF DOMAIN AND RANGE OF FUNCTION Tian Abdul Aziz; Meyta Dwi Kurniasih
Journal on Mathematics Education Vol 10, No 1 (2019)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (415.104 KB) | DOI: 10.22342/jme.10.1.5257.143-156

Abstract

This study attempts to analyze pre-service secondary mathematics teachers’ flexibility of external representations of domain and range of functions. To reach the purpose, a task consisted of thirty question items were designed. Participants of the study were thirty-eight Indonesian pre-service secondary mathematics teachers attending mathematics education department at one private university in Jakarta, Indonesia. Based on the analysis participants written responses, this paper revealed participants’ difficulties in providing a proper and consistent definition of the concept of domain and range of functions. We also disclosed the participants’ lack of flexibility in doing translation among representations under the concept of domain and range of function. In general, participants written responses to the task did not provide evidence of a solid understanding of domain and range. There are several implications of these findings offered for secondary mathematics teacher education’s program.
PRE-SERVICE SECONDARY MATHEMATICS TEACHERS’ UNDERSTANDING OF ABSOLUTE VALUE Tian Abdul Aziz; Supiat Supiat; Yohanes Soenarto
Jurnal Cakrawala Pendidikan CAKRAWALA PENDIDIKAN, VOL. 38, NO. 1, FEBRUARY 2019
Publisher : LPMPP Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (530.383 KB) | DOI: 10.21831/cp.v38i1.21945

Abstract

This study aims to give a comprehensive account of pre-service secondary mathematics teachers’ understanding of absolute value. Thirty two-item absolute value understanding test was developed and administered to thirty-eight students attending mathematics education department at one private university in Jakarta City, Indonesia. Five of them were selected purposively and interviewed to gain deep information and confirm their written responses in the test. We find that most participants struggled with the absolute value task. There are inconsistencies of the definition of absolute value expressed by them. Besides, typical mistakes made are: (a) removal of absolute value bars; (b) focus heavily on rules; (c) conversion of absolute value bars to parentheses; (d) exclusion of number inside absolute value bars; (e) poor algebraic manipulation; and (f) inability to draw absolute value graph. Based on the findings, the most common cause of mistakes made by the participants is didactical contract in mathematics teaching and learning. Limitation and implications of the study are presented.
Peningkatan Pengetahuan Konseptual tentang Bangun Datar melalui Pendidikan Matematika Realtistik Puri Pramudiani; Adinda Fuadillah Oktafiani; Tian Abdul Aziz; Yoppy Wahyu Purnomo
Jurnal Inovasi Pendidikan Dasar Vol. 3 No. 1 (2017): The Journal of Innovation in Elementary Education
Publisher : Universitas Muhammadiyah Prof. Dr. HAMKA Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2045.228 KB)

Abstract

This study aims to examine whether there is an increased understanding of the concept of shape using Realistic Mathematics Education. This research was conducted in one primary school class II in the academic year 2016/2017. Design Research was chosen as a basis research which included preparation for the experiment, preliminary teaching experiment class which involved 6 students Class IIA to test early Hypothetical Learning Trajectory (HLT), Teaching Experiment class which involved 37 students of Class IIB, and retrospective analysis (data analysis obtained from the previous stage). HLT plays an important role as a research design and instrument. Learning trajectory that has been designed then was compared with the actual student learning in the teaching experiment. The data of the students’ understanding of the concept of shape was obtained by using pre-test, observation, interview, student worksheet and post-test as well as data obtained in the learning process. The results of this study found that there was an increased understanding of the concept of the shape which will be elaborated further in the discussion.