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Helping Students Acquainted with Multiplication in Rectangular Model Tasman, Fridgo; Hertog, Jaap den; Zulkardi, Zulkardi; Hartono, Yusuf
Journal on Mathematics Education Vol 2, No 2 (2011)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.2.2.747.185-198

Abstract

Usually, multiplication is introduced to students to represent quantities that come in group. However there is also rectangular array model which is also related to multiplication. Barmby et al (2009) has shown that the rectangular model such as array representations encourage students to develop their thinking about multiplication as a binary operation with row and column representing two inputs. Considering that finding, this study focusses on a design research that was conducted in Indonesia in which I investigate second grade students’ (between 7 and 8 years old) in Madrasah Ibtidaiyah Negeri (MIN) 2 Palembang, Indonesia, ability to structuring the situation and their ability to represent rectangular model into multiplication sentence. The results shows us that students activity to structuring the situation, looking the number of objects in row or in column, lead them to repeated addition and transform it into multiplication sentence.Keywords: Rectangular pattern, Multiplication DOI: http://dx.doi.org/10.22342/jme.2.2.747.185-198
Pemahaman Mahasiswa Terhadap Integral sebagai Anti Turunan, Suatu Desain Riset pada Kalkulus Integral Tasman, Fridgo; Ahmad, Defri
JURNAL EKSAKTA PENDIDIKAN (JEP) Vol 1 No 1 (2017): JEP : Jurnal Eksakta Pendidikan
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (434.689 KB) | DOI: 10.24036/jep/vol1-iss1/28

Abstract

The low learning outcomes and student’s difficulties in understanding calculus courses, espe-cially integral topic, encourage us as researcher to design a calculus lesson for first year students by using realistic mathematical approach (Realistic Mathematics Education). For that we try to design a series of instructional activities starting from understanding integral as an anti derivative. The in-structional activity is designed and developed based on the learning process that occurs in the class-room by involving 30 first year students in FMIPA UNP. The classroom learning compared with our Hypothetical Learning Trajectory (HLT). The results of teaching experiment show that students un-derstanding of derivative plays important role in understanding the integrals, in general students have difficulty in communicating their ideas in determining the anti-derivative of a function. Through class-room discussions students can get ideas and discuss it in determining the anti-derivative of a function. Based on these results it is recommended to conduct classroom discussions to build students under-standing in studying calculus especially integral as an anti derived. 
Kesulitan Mahasiswa Dalam Mengkoneksikan Sigma, Area, dan Definisi Integral Tentu Secara Geometri Tasman, Fridgo; Ahmad, Defri; Suherman, Suherman
JURNAL EKSAKTA PENDIDIKAN (JEP) Vol 2 No 2 (2018): JEP: Jurnal Eksakta Pendidikan
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (460.035 KB) | DOI: 10.24036/jep/vol2-iss2/238

Abstract

Integral is one of major topics in Calculus course. Many university students fail in calculus course because their understanding on the concept of Integral especially in understanding definition of integral is low. This situation encourages us to design a calculus lesson to build students understanding on Integral especially integral definition by using Realistic Mathematics Education as an approach. For that, we try to design a series of instructional activities starting from introducing sigma to definition of Integral in order to know students difficulties in understanding this topic. Some first-year university students in Universitas Negeri Padang are chosen to test our Hypothetical Learning Trajectory (HLT) in our preliminary research. The result is students had difficulties in connecting the sigma, area and definition of integral. This happens because the students did not see that the activities that have been designed as a whole that cannot be separated. Therefore, it is recommended to design a series of instructional activities which is focus on connecting sigma, area and definition of integral.
PENGEMBANGAN LOCAL INSTRUCTIONAL THEORY PADA TOPIK PEMBAGIAN DENGAN PENDEKATAN MATEMATIKA REALISTIK Fauzan, Ahmad; Yerizon, Yerizon; Tasman, Fridgo; Yolanda, Rendy Novri
JURNAL EKSAKTA PENDIDIKAN (JEP) Vol 4 No 1 (2020): JEP : Jurnal Eksakta Pendidikan
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (748.503 KB) | DOI: 10.24036/jep/vol4-iss1/417

Abstract

This research aimed to develop local instruction theory that is valid, practical, and effective to help elementary school students developing their mathematical problem-solving skills. Therefore a sequential activityis design on dailybasis to encourage students to develop their ability to solve mathematical problems, especially on the topic division. To achieve the goal, realistic mathematics approach was implemented to grade three elementary students in the learning process. The designed activities were validated by experts on the aspects of mathematical contents, language, didactical process based on realistic mathematical approach. Data were analyzed with descriptive statistics and parametric statistics. The validation results show that the local instruction theory was valid, and the implementation shows that the local instruction theory is practical and effective in improving students' mathematical problem-solving skills.
Designing PISA Like Problems for West Sumatra Mathematics and Science Junior High School Teachers ahmad fauzan; Fridgo Tasman
Pelita Eksakta Vol 3 No 1 (2020): Pelita Eksakta Vol. 3 No. 1
Publisher : Fakultas MIPA Universitas Negeri Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/pelitaeksakta/vol3-iss1/106

Abstract

PISA (Program for International Students Assessment) test result on 2018 put Indonesia in the 72th position of 78 countries. The report showed the importance to improve the level of students thinking ability. There are many possible ways to develop students’ thinking. One way to do that is by giving the students drill to solve PISA problems. However, this solution is difficult to implement because designing PISA problems is difficult for the teachers. Therefore, 24 junior high school mathematics and science teachers ware selected in order to give them training and workshop to improve their ability to design PISA like problems using action research methods. Three stages ware implemented in the training and workshop. First, introduction to PISA, Second, designing PISA Problems, and third, trying out and evaluating the test result. Product of the workshop are 48 PISA like problems of mathematics and 42 PISA like problems of science.
Helping Students Acquainted with Multiplication in Rectangular Model Fridgo Tasman; Jaap den Hertog; Zulkardi Zulkardi; Yusuf Hartono
Journal on Mathematics Education Vol 2, No 2 (2011)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.2.2.747.185-198

Abstract

Usually, multiplication is introduced to students to represent quantities that come in group. However there is also rectangular array model which is also related to multiplication. Barmby et al (2009) has shown that the rectangular model such as array representations encourage students to develop their thinking about multiplication as a binary operation with row and column representing two inputs. Considering that finding, this study focusses on a design research that was conducted in Indonesia in which I investigate second grade students’ (between 7 and 8 years old) in Madrasah Ibtidaiyah Negeri (MIN) 2 Palembang, Indonesia, ability to structuring the situation and their ability to represent rectangular model into multiplication sentence. The results shows us that students activity to structuring the situation, looking the number of objects in row or in column, lead them to repeated addition and transform it into multiplication sentence.Keywords: Rectangular pattern, Multiplication DOI: http://dx.doi.org/10.22342/jme.2.2.747.185-198
Pemahaman Mahasiswa Terhadap Integral sebagai Anti Turunan, Suatu Desain Riset pada Kalkulus Integral Fridgo Tasman; Defri Ahmad
JURNAL EKSAKTA PENDIDIKAN (JEP) Vol 1 No 1 (2017): JEP : Jurnal Eksakta Pendidikan
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/jep/vol1-iss1/28

Abstract

The low learning outcomes and student’s difficulties in understanding calculus courses, espe-cially integral topic, encourage us as researcher to design a calculus lesson for first year students by using realistic mathematical approach (Realistic Mathematics Education). For that we try to design a series of instructional activities starting from understanding integral as an anti derivative. The in-structional activity is designed and developed based on the learning process that occurs in the class-room by involving 30 first year students in FMIPA UNP. The classroom learning compared with our Hypothetical Learning Trajectory (HLT). The results of teaching experiment show that students' un-derstanding of derivative plays important role in understanding the integrals, in general students have difficulty in communicating their ideas in determining the anti-derivative of a function. Through class-room discussions students can get ideas and discuss it in determining the anti-derivative of a function. Based on these results it is recommended to conduct classroom discussions to build students' under-standing in studying calculus especially integral as an anti derived.