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Masalah-Masalah Kritis Siswa SMA dalam Menyelesaikan Soal Pertidaksamaan Aljabar MUSTAQIM MUSTAQIM; M IKHSAN; RAHMAH JOHAR
Jurnal Peluang Vol 7, No 2 (2019): Jurnal Peluang
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (752.546 KB) | DOI: 10.24815/jp.v7i2.15626

Abstract

Abstract: This study aimed to describe the critical problems experienced by students in solving algebraic inequalities. The subjects of the study were nine Year 12 students from one of the senior high school in Banda Aceh and students studying at one of the tuition centres in Banda Aceh, Indonesia. The data was gathered through algebraic inequality test followed by interviews. The results showed that the critical problems experienced by students in solving the question of algebraic inequality were problems in understanding cross-multiplication requirements, in applying cancellation rules, in understanding the definition area and value areas of a function, in determining exponential inequalities, and in understanding the definition of absolute value.Keywords: critical problems, difficulties, algebraic inequalities.
Pengembangan Modul Matematika Diskrit Berbantuan Software wxMaxima Shinta Dewi; Syamsul Rizal; Rahmah Johar
Jurnal Peluang Vol 7, No 2 (2019): Jurnal Peluang
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (195.72 KB) | DOI: 10.24815/jp.v7i2.13747

Abstract

The study was motivated by the problems faced by students of Mathematics Education of Aceh Muhammadiyah University. Students had difficulty studying discrete mathematics course. Based on preliminary observations, the problem that often arised was when graphing, especially for more complex issues that require longer time for manually drawing. Besides, the availability of discrete mathematics module is limited, especially the one using software maxima for solving problems. Therefore, it is necessary to develop discrete module mathematics assisted by wxMaxima software. Discrete Mathematics Module Development Research wxMaxima assisted by software aims to produce the ICT-based discrete mathematics modules that are valid and practical. The method used was research development. The model used was the Plomp model development, involving (1) the initial investigation phase, (2) the design phase, (3) the realization phase/construction, and (4) the phase of the test, evaluation and revision. The results showed that the development of discrete mathematics module assisted with wxmaxima software was valid, as indicated by the validation results that showed a valid criterion. Discrete mathematics modules developed was practical, as seen from the results of the field trials in the Department of Mathematics, University of Muhammadiyah Tarbiyah Aceh, where the average student activities showed good criterion.
PENINGKATAN KEMAMPUAN PEMAHAMAN DAN PEMECAHAN MASALAH MATEMATIS MELALUI PEMBELAJARAN DENGAN PENDEKATAN KONTEKSTUAL Muhsin Muhsin; Rahmah Johar; Elah Nurlaelah
Jurnal Peluang Vol 2, No 1 (2013): Volume 1 No 2 April 2012
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (143.12 KB)

Abstract

Understanding and problem solving of mathematical ability junior high school students is still low, it is one of the main issues in mathematics education. Therefore need approaches that can improve the ability of understanding and problem solving mathematical students', one of the learning approaches that can improve this ability is a contextual approach. This study aims to examine the differences in upgrades mathematical understanding and problem solving among students receiving contextual learning approach and students who received conventional teaching. In addition revealed the attitude of students towards learning with contextual approach. This study is a quasi-experimental research design pre-test post-test control group design. The population is all eighth grade students MTsN Beureunuen by taking samples of the two classes (class experiment with contextual approaches  and control class with conventional learning) through purposive sampling of six parallel classes available.Data collecting using a test instrument of understanding and problem solving abilities as well as a questionnaire scale student attitudes to learning with contextual approach. To see the differences between experimental group students’ with the control group used the t-test with a significance level of 0.05 after testing prerequisites are met. The results showed that an increase in the ability of understanding and solving mathematical problems students obtain contextual learning approach is better than the students who obtain conventional teaching. Based on the analysis of student attitude scale showed a positive attitude towards learning with contextual approach.
Penggunaan Software Cabri 3D untuk Meningkatkan Kemampuan Spasial Siswa Sekolah Menengah Pertama Yuli Ariani; Rahmah Johar; Marwan Marwan
Jurnal Peluang Vol 7, No 2 (2019): Jurnal Peluang
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (368.196 KB) | DOI: 10.24815/jp.v7i2.13695

Abstract

Geometry is one of the materials that are considered important in mathematics with the aim that students gain confidence regarding math skills, be excellent problem solvers, and can communicate and reason mathematically. Geometry is a branch of mathematics closely related to spatial ability, the ability to visualize an image, recognize shapes and objects accurately, make changes to an object in his mind and recognize the difference, describes an object in mind and turn it into a tangible form, reveals the data in graphical form as well as sensitivity to relationships, color, line, shape, and space. This study focused on improving spatial skills based on research conducted by Olkun (2003), the ability to visualize the image, including the ability to mentally rotate and flip through 2D and 3D objects quickly and precisely. This research used a quasi-experimental design with pretest-postest group design. The instrument was used in the form of spatial ability tests. Population in this research was Year 8 students in one of the junior high school in Banda Aceh, and selected samples were the students from one of the classroom. The data analyzed in that the data pre-test and post-test spatial ability, using the t-test for data pairs. The result showed that the spatial ability of students after being given a lesson with the help of Cabri 3D software better than before given the spatial ability of students learning with the help of Cabri 3D software.
Pemahaman Relasional Siswa pada Turunan Fungsi dengan Bantuan Software Geometer’s Sketchpad Cut Laila Kulsum; Rahmah Johar; Said Munzir
Jurnal Peluang Vol 7, No 2 (2019): Jurnal Peluang
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1207.401 KB) | DOI: 10.24815/jp.v7i2.13749

Abstract

Relational understanding in mathematics is important for the student's it causes understanding the mathematical concepts will be memorable if he knows the process of getting the concept by linking it with the knowledge to be learned. This study aimed to examine the relational understanding of students in discovering the concept of f '(x) using Geometer's Sketchpad, and the relational understanding of students in discovering the concept of f (x) = x2 + c let f' (x) = 2x  using Geometer's Sketchpad.  It also investigated the students' responses when they use Geometer's Sketchpad in understanding the derivative function. The study used a qualitative approach. Subjects in this study were three Year 11 students of one the junior high school in Meuredu, Aceh, Indonesia. The instruments were observation sheet, interview guides, student worksheets and test questions. The data analysis included the classification of information obtained from observations when the subjects used software Sketchpad Geometers in their learning. Information about students' relational understanding obtained from the student worksheets reinforced with test questions and interviews so that the results can be accounted for. This study concluded that (1) students' relational understanding (Subjects RV, subject MR, subject AA) in discovering the concept of f '(x) using Geometer's Sketchpad was good; (2) students' relational understanding (Subjects RV, subject MR, subject AA) in discovering the concept of f (x) = x2 + c let f '(x) = 2x using Geometer's Sketchpad was a good; and (3) the responses of Subjects RV, subject MR, subject AA in using Geometer's Sketchpad were positive, each research subject was very pleased and liked to use Geometer's Sketchpad in understanding the derivative function.
Pelaksanaan Matrikulasi Untuk Meningkatkan Penguasaan Operasi Hitung Dasar Matematika Siswa SMKN 2 Langsa Ibnu Zaina; Rahmah Johar; Saminan Saminan
Jurnal Peluang Vol 7, No 1 (2019): Jurnal Peluang
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (421.841 KB) | DOI: 10.24815/jp.v7i1.13753

Abstract

Student mastery of the basic arithmetic operations of mathematics is still low, especially for students who received school education background before heterogens. This research was conducted to determine the type of error that made the students in doing mathematics basic arithmetic operations, increase students' ability to perform basic arithmetic operations through the implementation of the mathematics matriculation, and suitability scores obtained by students with a score of predetermined targets. This research is a descriptive qualitative research subjects were 27 students of class X SMK 2 Langsa. Data were analyzed using the concept of Miles and Huberman: includes the step of data reduction, data presentation, and conclusion. The results showed that the errors made by the students in solving basic math arithmetic operations are procedural and conceptual errors. Procedural errors do end results is a mistake, an error in the operations of addition, subtraction, multiplication, and division of integers. Conceptual error committed is a mistake to equate the denominator in the operation of addition and subtraction of fractions, simplifying error in root form, and errors in rationalizing the denominator.
Students’ Difficulties in Solving Higher Order Thinking Skills Problems on Algebra Content Fathiya Salsabila; Rahmah Johar; Bahrun Bahrun
Proceedings of AICS - Social Sciences Vol 8 (2018): the 8th AIC on Social Sciences, Syiah Kuala University
Publisher : Proceedings of AICS - Social Sciences

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (482.728 KB)

Abstract

Higher order thinking skills are one of the thinking skills needed in the 21st century. HOTS can make students more critical, creative and innovative in solving problems. Students with HOTS can distinguish clear ideas, clear opinions, solve problems, formulate explanations well and understand complicated things become clear. However, the actual ability of HOT students is still low seen from their difficulties in solving HOTS problems. Therefore, this study aimed to describe students' difficulties in solving HOTS problems in algebra. This type of research was qualitative with descriptive method. The subjects of this study consisted of three students in the eighth grade at one of the junior high school in Banda Aceh. The instruments used were tests and interviews. The results showed that difficulties in understanding the information and questions given, the difficulty of finding patterns and relationships, difficulty in manipulating algebraic forms, lack of prerequisite materials, difficulty in solving equations that had been made, difficulties in understanding images in the form of information, difficulties in presenting images in the form of symbols or equations and difficulties in distinguishing the two-variable linear equation material and the two-variable linear equation system. By knowing the difficulties of students, it is expected that teachers and schools can provide learning that can reduce difficulties and develop HOTS abilities to enter the 21st century.Keywords: difficulty, higher order thinking skills, algebra.
The Validity of STEM Learning Tools Development through Project Based Learning (PjBL) to Improve Students’ Spatial Ability Rizki Julina; Rahmah Johar; M. Syukri
Proceedings of AICS - Social Sciences Vol 8 (2018): the 8th AIC on Social Sciences, Syiah Kuala University
Publisher : Proceedings of AICS - Social Sciences

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (410.848 KB)

Abstract

The 2013 curriculum is developed with refinements of mind-set, one of them is a reinforcement of multidisciplinary learning, or commonly known as STEM (Science, Technology, Engineering, and Mathematics). Learning tool as one of learning support facilities also should be developed following the development of the 2013 curriculum. However, STEM learning tools are still unavailable. STEM implementation can be successful if supported by programs that are based on best practices for program design. One of the learning models that support them is PjBL (Project Based Learning). Also, there is an ability that is closely related to STEM implementation, namely spatial ability. Therefore, the purpose of this research was to develop STEM learning tools through PjBL to improve students’ spatial ability which valid. Learning tools developed were lesson plans, project worksheets, student worksheets, AutoCAD 2D Guideline, and spatial ability tests. This research was development research. The instrument used was validation sheets. The validation phase STEM-PjBL learning tools consisting of lesson plans, project worksheets, student worksheets, and spatial ability tests consisted of two phases. It was because only three of five validators who stated that the learning tools had been possible to use with minor revisions in the first phase. These results indicated that the learning tools were not however valid. As a result, the learning tools needed to be revised following the comments and suggestions provided by the validators. After that, the learning tools were validated again by the validators. The second phase validation result was all validators stated that the learning tools had been possible to use. In contrast to these tools, the AutoCAD 2D Guideline was only validated once because, in the first phase validation, all validators stated that the AutoCAD 2D Guideline was worth using with minor revision. Thus, STEM-PjBL learning tools to improve students' spatial ability have met the valid criteria.Keywords: development, learning tools, STEM, project-based learning, spatial ability.
The Improvement of Students Mathematical Understanding and Self-Concept through a Discovery Learning Model T. Mahmudi; M. Ikhsan; Rahmah Johar
Proceedings of AICS - Social Sciences Vol 8 (2018): the 8th AIC on Social Sciences, Syiah Kuala University
Publisher : Proceedings of AICS - Social Sciences

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (492.626 KB)

Abstract

One of the competencies which students must possess is a mathematical understanding. Another aspect that supports understanding is self-concept. An effort that can be taken as a solution for improving students’ understanding and the self-concept is a model of learning which can lead students to find their concept. This model is often called discovery learning. This study aims to improve students’ mathematical understanding and the self-concept through the discovery learning model. In this study, the researcher used quantitative research. The population of this study was all senior high school Ulumuddin students in the 2016/2017 school year. The sample of this study was 40 students in grade 10 who were randomly chosen from two classes. The data in this study were obtained using instruments compiled in the form of questionnaires and tests that were answered by the respondents. The results showed that the improvement of students’ mathematical understanding and self-concept who obtained learning with the discovery learning model was better than students who gain learning without using the model of Discovery Learning. However, there was no interaction between the model and the levels of understanding and the self-concept of students.Keywords: mathematical understanding, self-concept, discovery learning.
EXPLORING THE USEFULNESS OF RICH MATHEMATICAL TASKS TO ENHANCE STUDENTS’ REFLECTIVE THINKING Fitriati Fitriati; Rita Novita; Rahmah Johar
Jurnal Cakrawala Pendidikan Vol 39, No 2 (2020): CAKRAWALA PENDIDIKAN, VOL. 39, NO. 2, JUNE 2020
Publisher : LPMPP Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (863.979 KB) | DOI: 10.21831/cp.v39i2.24047

Abstract

Promoting reflective thinking in daily teaching practice is vital to prepare students to live in a more challenging world. Rich tasks are one of the promising tasks that could be used as pedagogy trend to develop students' reflective thinking. Therefore, the purpose of this study is to describe the usefulness of rich mathematical tasks including how teachers use them in their teaching practice and the improvement of students’ reflective thinking following the rich tasks based instruction. This study employed a teaching experiment within a case study design. Participants were 28 Year 7 students of one the junior high school in Aceh, Indonesia. The instrument of the study is three valid and reliable rich mathematical tasks administered to the students through student worksheet. The results of the study show that rich tasks provided students with the opportunity to solve real-world problems by questioning their understanding and thinking reflectively. It also found that most students in the classroom were able to achieve the low level of reflective thinking with classroom mean score is 60. This value fairly enough since reflective thinking is a complicated concept. Subsequently, the results indicate the rich mathematical tasks approach hold potential in enhancing students’ reflective thinking ability.
Co-Authors . Saminan Abubakar Abubakar Adek Elfera Chandrawati, Adek Elfera Aklimawati Aklimawati, Aklimawati Akrom, Akrom Andariah Andariah Anizar Ahmad Anwar Anwar Anwar Arhamni Arhamni Asdarina, Orin Aslamiah, Shuaibatul Aslamiah, Suaibatul Asmaul Husna Azzahra, Cut Ina Bahrun Bahrun Bahrun Bahrun Bahrun Bahrun Bainuddin Yani Bansu Irianto Ansari Budi Azhari Cut Khairunnisak Cut Laila Kulsum Cut Morina Zubainur Cut, Siti Sabariah Dadang Juandi Darkasyi, Muhammad Dessy Amalia Dessy Amalia, Dessy desy wulandari Detiana Amir Dewi Agus Tiani Dewi Annisa Dhayanti, Decy Diandita, Elly Rizki edumatica FKIP Elah Nurlaelah Ellianti, Ellianti Erfansyah, Muhammad Erna Isfayani Erna Wirda Erni Maidiyah Erni Maidiyah Fadhiliani, Dwi Farrah Maulidia Fathiya Salsabila Fatma Salinda Fitriadi Mahmud Fitriati FKIP, edumatica Hajidin . Hajidin Hajidin Harnita, Fahlida Hasbi, M. Hidayah Nurul Fajri Hidayat, Mukhlis Hifzi Meutia Hizir Sofyan Husin, M. Husnul Khatimah Ibnu Zaina Ikhwanuddin Ikhwanuddin Irma Yanti Irnanda , Irnanda, Irnanda Ishak, Muhammad Izzuddin Syakir Isyafani, Erna Jarnawi Afgani Dahlan jul siga putra Jumiati . Junita, Eka Junita, Eka Khairani, Salsabila Khairul Umam Khusnul Safrina lestari, mulia Lestiana, Yeni Lina, Sri Intan Linda Vitoria, Linda Liza Rahmah M IKHSAN M Ikhsan M Ikhsan M. Darkasyi M. Duskri M. Ikhsan M. Ikhsan M. Ikhsan M. Syukri M.Ikhsan M.Ikhsan, M.Ikhsan Mahdalena Mahdalena Mailizar Mailizar Mailizar Mailizar Mailizar Marty Mawarpury Marwan Ramli Maulida, Gebrina Rezki Moulina, Aisyah Rayhan MUHAMMAD HASBI Muhammad Subianto Muhsin Muhsin Mukhlis Hidayat Munzir, Said MUSTAQIM MUSTAQIM Mutia Fariha Mutiawati Mutiawati Mutiawati Nolismasari Nolismasari Nur Anwar Nurdiansyah Nurdiansyah Nurjani Nurjani Nurniqta Nuzulidar Nuzulidar Oktavia, Rini Putri, Devi Arhami Rahmadani, Farah Putri Rahmawati Rahmawati Rahmi Fuadi Rahmi Hayati Raihan Raihan, Raihan Ramadhani, Evi Ramadhani, Lisa Rezeki, Rike Arami Rina Puspita Sari Rini Sulastri Rini Sulastri Rini Sulastri Rita Novita Rizeky, Amna Sri Rizki Julina Rohaida . Rohaizati, Ulya Rosnawati Rosnawati Rosnawati Rossya, Nadila Rizki Rusniati Rusniati Safinatunnaja, Safinatunnaja Safrida Yanti Said Munzir Said Munzir Said Munzir Salsabila, Nada Saminan Saminan Saminan, Saminan Samsul Bahri Sembiring, Rinawati Shinta Dewi Siti Rahmatina Solly Aryza Sri Haryani Sri Yusniarti Suaibatul Aslamiah Suhartati Suhartati Sulastri , Rini Sulastri Sulastri Sulastri*, Sulastri Sulastri, Sulastri Suryawati Suryawati Syahjuzar Syahjuzar Syamsul Arifin Syamsul Rizal T. Mahmudi Taufik Fuadi Abidin Trikoesoemaningtyas Tuti Zubaidah Usman Usman Usnul, Uliyatul Utari Sumarmo Utari Sumarmo Vidia Purnama Sari Wahidah, Nanda Rahmatul Wulandari Wulandari Yaya S. Kusumah Yuli Ariani Yulia Yulia Yulinar Safitri Yuniara, Ridha Yusniarti, Sri Yusrizal Yusrizal Yuwaldi Away Zahratul Idami Zainal Abidin Zainal Abidin Zainal Abidin Zuraida IM