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<![CDATA[Knowledge of Student’s Understanding and The Effect on Instructional Strategies: a Case of Two Novice Mathematics Teachers ]]>
<![CDATA[Masduki Masduki]]>;
<![CDATA[Stephanus Suwarsono]]>;
<![CDATA[Mega Teguh Budiarto]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 2, No. 1, January 2017 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v2i1.5734
<![CDATA[Pedagogical content knowledge plays a role in learning in classroom. The study aims to 1) analyze the teachers’ knowledge of the students' errors and difficulties in solving linear equations and 2) describe the instructional strategies used by teachers to reduce their errors and difficulties. The subjects were two novice teachers who have taught the Junior High School 7th grade students with different math abilities for two years. The data collection was conducted by open questionnaire and interview. The results showed that both teachers have knowledge of students' errors and difficulties in solving linear equations. However, the teacher's learning strategies in helping students reduce students' errors and difficulties were different from one another. It can be concluded that the teacher's knowledge of the students’ errors and difficulties can help teachers determine the appropriate learning strategies to present a learning subject matter.]]>
<![CDATA[How Students Solve The Logarithm? Conceptual and Procedural Understanding ]]>
<![CDATA[Heri Kusuma]]>;
<![CDATA[Masduki Masduki]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 1, No. 1, January 2016 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v1i1.1778
<![CDATA[The purpose of this study was to describe the understanding of tenth grade students in logarithms. The descriptive qualitative research was conducted with three students as participants representing the high, medium, and low category. The data was collected by performing observation, tests, interviews, and documentation. They were analyzed by data reduction, data display, and conclusion. The results of this study indicates that students with high category tended to have a good understanding on both conceptual and procedural category. Students with medium category have a good procedural understanding nevertheless weak on the conceptual. Finally, The students with low category had weak ability understanding on both conceptual and procedural. Thus, it can be concluded that the student’s understanding influence their abilities in solving mathematics problems.]]>
<![CDATA[STUDENT'S VISUAL REASONING IN SOLVING LINEAR EQUATIONS IN TERMS OF LEARNING STYLE ]]>
<![CDATA[Indah Dwi Utami]]>;
<![CDATA[Masduki Masduki]]>
<![CDATA[ Prima: Jurnal Pendidikan Matematika Vol 7, No 1 (2023): PRIMA : Jurnal Pendidikan Matematika ]]>
Publisher : <![CDATA[FKIP Universitas Muhammadiyah Tangerang ]]>
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DOI: 10.31000/prima.v7i1.7171
<![CDATA[This study aims to describe students' visual mathematical reasoning abilities based on visual learning styles, auditory, and kinesthetic (VAK) in solving systems of linear equations. The research approach used is qualitative with a case study design. The research subjects involved were 30 students of class VIII at a private school in Surakarta. The research instrument used was a VAK learning style questionnaire, visual reasoning test (TPV) questions, and interview guidelines. Data analysis was carried out inductively, namely data collection, data reduction, data presentation, and drawing conclusions. The results showed that there was a diversity of students' reasoning abilities based on learning styles. Although visual and auditory students are able to present mathematical expressions in visual form in the form of graphs, their ability to describe graphs is relatively diverse. In other words, visual and auditory students have various abilities on various investigative indicators. Meanwhile, students with kinesthetic learning styles cannot present mathematical expressions in the form of graphs so they cannot describe visual objects. In other words, kinesthetic students are not able to fulfill the investigation indicators. Thus, it can be concluded that the visual reasoning ability of the kinesthetic student's investigative dimension is the weakest compared to the visual and auditory learning styles. Meanwhile, the dimensions of student investigation with visual and auditory learning styles are relatively diverse.]]>
<![CDATA[Profile of Pre-Service Mathematics Teacher’s Algebraic Thinking Based on Systematic-Intuitive Cognitive Style ]]>
<![CDATA[Ninda Ayu Nur Kusuma]]>;
<![CDATA[Masduki]]>
<![CDATA[ Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023) ]]>
Publisher : <![CDATA[Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung ]]>
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DOI: 10.25217/numerical.v7i1.3420
<![CDATA[Algebraic thinking plays an essential role in increasing mathematics problem-solving abilities. In this study, the pre-service mathematics teacher’s (PMTs) ability of algebraic thinking is explored based on a systematic-intuitive cognitive style. This study aims to reveal students' algebraic thinking abilities regarding systematic-intuitive cognitive style. Three components of algebraic thinking were analyzed: arithmetic generalization, functional thinking, and generalization and justification. The research approach is qualitative with a case study method. The subjects were 31 PMTs at one of the private universities in Surakarta District, Central Java, Indonesia. Data collection methods were algebraic thinking tests, the Cognitive Style Inventory (CSI) questionnaires, and interview protocol. Four subjects, two PMTs for each cognitive style category were interviewed to reveal their algebraic thinking abilities. The results showed that all subjects were able to solve the functional thinking problem correctly. However, for the generalization arithmetics and justification problems, the PMTs abilities are varied. In addition, the finding also showed the different strategies of systematic and intuitive subjects in solving the problems related to algebraic thinking components. PMTs with a systematic cognitive style solve problems systematically and represent the pattern verbally in the form of a table or word, whereas the PMTs with an intuitive cognitive style solve the problem briefly and visually using pictures pattern. In conclusion, there is a relationship between algebraic thinking ability and cognitive style.]]>
<![CDATA[Student’s Anomaly Reasoning in Solving Number Pattern in terms of Gender ]]>
<![CDATA[Arwin Happy Nur Fauzi]]>;
<![CDATA[Masduki Masduki]]>
<![CDATA[ Didaktik Matematika Vol 9, No 2 (2022): OCTOBER 2022 ]]>
Publisher : <![CDATA[Universitas Syiah Kuala ]]>
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DOI: 10.24815/jdm.v9i2.27146
<![CDATA[Relational reasoning plays an important role in helping students to understand mathematical concepts. The student's ability to distinguish patterns or objects is one of the understandings of mathematical concept indicators. The anomaly dimension is part of the relational reasoning that students need to be able to determine a pattern or object in mathematics. This study aims to reveal the student's relational reasoning ability of anomaly dimension in solving number pattern problems in terms of gender differences. The subjects of this study are 52 grade-8 students in one of Muhammadiyah Junior High Schools in Kartasura. We used two similar problems on number patterns to disclose the student's ability to identify the pattern deviation in solving problems. The two selected students had relatively similar in their mathematical abilities. The finding showed that female subject met the three anomaly dimension indicators: identification, interpretation, and adaptation. Conversely, male student cannot fulfill the anomaly indicators. He cannot recognize pattern deviation in the formed mathematical model. He also failed to identify a pattern different from the two problems. Although the subjects interviewed were limited, the finding provided the insightful into the differences in anomaly reasoning abilities in male and female students]]>
<![CDATA[PROFIL BERPIKIR ALJABAR SISWA DALAM MENYELESAIKAN PERMASALAHAN GENERALISASI DAN BERPIKIR DINAMIS DITINJAU DARI GAYA KOGNITIF FI-FD ]]>
<![CDATA[Khusna Alfi Muyassaroh]]>;
<![CDATA[Masduki Masduki]]>
<![CDATA[ FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Vol 9, No 1 (2023): FIBONACCI: Jurnal Pendidikan Matematika dan Matematika ]]>
Publisher : <![CDATA[Fakultas Ilmu Pendidikan Universitas Muhammadiyah Jakarta ]]>
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DOI: 10.24853/fbc.9.1.27-42
<![CDATA[Kemampuan berpikir aljabar sangat diperlukan untuk membantu siswa menyelesaikan masalah matematika terutama permasalahan yang berkaitan dengan bentuk aljabar. Tujuan penelitian ini untuk menyelidiki kemampuan berpikir aljabar siswa dalam menyelesaikan masalah matematika berdasarkan gaya kognitif Field Independent dan Field Dependent. Jenis penelitian adalah kualitatif dengan pendekatan studi kasus. Subjek penelitian terdiri dari 42 siswa kelas 8 pada salah satu SMP swasta di Surakarta. Instrumen yang digunakan yaitu tes GEFT, soal tes berpikir aljabar, dan pedoman wawancara. Delapan subjek, masing-masing 4 subjek pada gaya kognitif FI dan FD dipilih secara purposive untuk dilakukan wawancara. Analisis data dilakukan menggunakan metode alur yaitu reduksi data, penyajian data, dan penarikan kesimpulan. Peneliti membatasi menganalisis kemampuan berpikir aljabar siswa dalam menyelesaikan permasalahan terkait generalisasi dan berpikir dinamis. Hasil penelitian menunjukkan bahwa siswa dengan gaya kognitif Field Independent mampu menyelesaikan permasalahan terkait generalisasi dan berpikir dinamis. Sedangkan, siswa dengan gaya kognitif Field Dependent mampu menyelesaikan soal generalisasi namun belum mampu menyelesaikan permasalahan terkait berpikir dinamis. Dengan demikian dapat disimpulkan bahwa kemampuan berpikir aljabar berkaitan dengan gaya kognitif siswa]]>
<![CDATA[Exploration of Student Algebraic Thinking In Terms Of Implusive Reflective Cognitive Style ]]>
<![CDATA[Lughina A'yun Zahrotu Najma]]>;
<![CDATA[Masduki Masduki]]>
<![CDATA[ Jurnal Pendidikan Matematika IKIP Veteran Semarang Vol 7 No 2 (2023): Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang ]]>
Publisher : <![CDATA[Urogram Studi Pendidikan Matematika, Universitas IVET ]]>
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DOI: 10.31331/medivesveteran.v7i2.2580
<![CDATA[Algebra is the part of mathematics that helps represent problems. Learning algebra is crucial since it has numerous applications outside of mathematics and in daily life. The subject of algebra is one that students need to master. The purpose of this study was to reveal the ability of algebra students' thinking profiles in solving math problems in terms of cognitive style reflective and impulsive. The subjects of this study were 32 students at a university in Surakarta. The method used in this study is a qualitative method with a case study approach. The instruments in this study were the MFFT test (Matching Familiar Figure Test), algebraic tests, and interviews. The results showed that 1) Students who have a reflective cognitive style and students who have an impulsive cognitive style can fulfill two indicators of algebraic thinking, namely functional thinking, generalization, and justification. 2) Students who have a reflective cognitive style are more systematic in working on problems. Meanwhile, students who have an impulsive cognitive style are more likely to write only the final result. Keywords: algebra thinking, cognitive, reflective-impulsive]]>
<![CDATA[PRE-SERVICE MATHEMATICS TEACHERS’ ALGEBRAIC THINKING IN SOLVING MATHEMATICS PROBLEMS BASED ON ADVERSITY QUOTIENT ]]>
<![CDATA[Nur Hanifatur Rahmah]]>;
<![CDATA[Masduki Masduki]]>
<![CDATA[ Prima: Jurnal Pendidikan Matematika Vol 7, No 2 (2023): PRIMA : Jurnal Pendidikan Matematika ]]>
Publisher : <![CDATA[FKIP Universitas Muhammadiyah Tangerang ]]>
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DOI: 10.31000/prima.v7i2.8714
<![CDATA[Algebraic thinking has an important role in solving mathematics problems. In addition, Adversity Quotient (AQ) is one of the factors that can help students succeed in solving math problems. This study aims to investigate the algebraic thinking skills of pre-service mathematics teachers (PMTs) in solving math problems based on adversity quotient (AQ). This study investigates three components of algebraic thinking, namely generalization, functional thinking, and justification. This research used qualitative approach with a case study method. The subjects were 30 PMTs at one of private universities in Surakarta District, Central Java, Indonesia. Data were collected by the algebraic thinking test, ARP (Adversity Response Profile) questionnaires, and interview protocol. The results showed that climber PMTs were able to demonstrate algebraic thinking activities in the components of arithmetic generalization, functional thinking, and generalization and justification. Camper PMTs were only able to demonstrate algebraic thinking activities in the components of arithmetic generalization and also generalization and justification. Meanwhile, quitter PMTs were unable to demonstrate algebraic thinking activities in all components. It can be concluded that the characteristics of AQ are related to the PMTs’ algebraic thinking abilities]]>
<![CDATA[Eksplorasi Berpikir Aljabar Siswa Kelas 5 Dalam Menyelesaikan Soal Pemodelan ]]>
<![CDATA[Sinta Devi Kusuma Ardi]]>;
<![CDATA[Masduki Masduki]]>
<![CDATA[ Jurnal Tadris Matematika Vol 6 No 1 (2023) ]]>
Publisher : <![CDATA[Universitas Islam Negeri Sayyid Ali Rahmatullah Tulungagung ]]>
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DOI: 10.21274/jtm.2023.6.1.85-100
<![CDATA[Algebraic thinking is important for developing students' mathematical generalization abilities, and identifying patterns, shapes, and symbols. This study uses a qualitative descriptive approach that aims to describe the profile of students' algebraic thinking in solving modeling problems. The subjects of this study were 158 fifth-grade students in two private schools in Surakarta, Central Java. The data collection instrument used was six test questions related to the modeling component adopted from Ralston. Prior to use, the instrument was validated by 3 elementary school mathematics learning experts and tested on 10 students who were not the subject of the study. Based on the test results, there were 12 students who scored in the high category. This study focuses on analyzing the algebraic thinking profile of students with high categories. The results showed that high-category subjects were able to demonstrate understanding related to modeling indicators in algebraic thinking, namely understanding the meaning of the equal sign (=) as an equivalence relationship, using variables to solve problems in the form of equations, and understanding the relationships between arithmetic operations. However, a small number of subjects still experience calculation errors and understanding errors in algebraic operations. Hence, it can be concluded that subjects with high categories are able to demonstrate algebraic thinking skills in the modeling component]]>
<![CDATA[Profile of Pre-Service Mathematics Teacher’s Algebraic Thinking Based on Systematic-Intuitive Cognitive Style ]]>
<![CDATA[Ninda Ayu Nur Kusuma]]>;
<![CDATA[Masduki Masduki]]>
<![CDATA[ Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023) ]]>
Publisher : <![CDATA[Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung ]]>
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DOI: 10.25217/numerical.v7i1.3420
<![CDATA[Algebraic thinking plays an essential role in increasing mathematics problem-solving abilities. In this study, the pre-service mathematics teacher’s (PMTs) ability of algebraic thinking is explored based on a systematic-intuitive cognitive style. This study aims to reveal students' algebraic thinking abilities regarding systematic-intuitive cognitive style. Three components of algebraic thinking were analyzed: arithmetic generalization, functional thinking, and generalization and justification. The research approach is qualitative with a case study method. The subjects were 31 PMTs at one of the private universities in Surakarta District, Central Java, Indonesia. Data collection methods were algebraic thinking tests, the Cognitive Style Inventory (CSI) questionnaires, and interview protocol. Four subjects, two PMTs for each cognitive style category were interviewed to reveal their algebraic thinking abilities. The results showed that all subjects were able to solve the functional thinking problem correctly. However, for the generalization arithmetics and justification problems, the PMTs abilities are varied. In addition, the finding also showed the different strategies of systematic and intuitive subjects in solving the problems related to algebraic thinking components. PMTs with a systematic cognitive style solve problems systematically and represent the pattern verbally in the form of a table or word, whereas the PMTs with an intuitive cognitive style solve the problem briefly and visually using pictures pattern. In conclusion, there is a relationship between algebraic thinking ability and cognitive style.]]>
