ISSN : 2621-4008 (online) | 2621-3990 (print) DOI Prefix : 10.21274 by Crossref Editor in Chief : Beni Asyhar Publisher : Department of Mathematics Education of Universitas Islam Negeri Sayyid Ali Rahmatullah Tulungagung in Colaboration with ADMAPETA-PTKIN, Indonesia Citation Analysis : Google Scholar | DOAJ | Garuda | Moraref Accreditation : SINTA 3 | 79/E/KPT/2023
Universitas Islam Negeri Sayyid Ali Rahmatullah Tulungagung
Jurnal Tadris Matematika (p-ISSN: 2621-3990, e-ISSN: 2621-4008) by http://ejournal.uinsatu.ac.id/index.php/jtm is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License
Analysis of the Application of the M-Apos Learning Model to the Improvement of Prospective Teachers’ Computational Thinking Skills
This study aims to analyze the effectiveness of the M-APOS learning model (a modification of Action, Process, Object, and Schema) in improving the computational thinking skills of prospective mathematics teachers. The study employed a mixed-methods approach with an explanatory sequential design that combines quantitative and qualitative data. The research subjects consisted of 44 third-semester students divided into an experimental group (n = 22) and a control group (n = 22). The research instruments included an essay-based computational thinking test, learning activity observation sheets, and interview guidelines. Quantitative data were analyzed using a t-test and Cohen’s d effect size calculation, while qualitative data were analyzed thematically to strengthen the quantitative findings. The results indicate that the M-APOS model significantly improves students’ computational thinking skills, as shown by a Cohen’s d value of 1.57, which represents a very large effect. In addition, observation results show a consistent increase in students’ learning activities, particularly in the indicators of decomposition, pattern recognition, abstraction, and algorithmic thinking. High levels of learning activity support concept internalization through the Action–Process–Object–Schema stages. These findings confirm that the M-APOS model has a substantial impact on students’ computational thinking skills.
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Pengembangan Media Pembelajaran Matematika dengan Menggunakan Pop-up Book Jaring-jaring Bangun Ruang
Geometry materials require visual ability to understand abstract objects, while students in elementary school are still in the concrete operational stage, so they need to understand concepts on real objects. The abstractness of geometry at the elementary school level can be overcome by using pop-up book media. The main objective of this research is to develop mathematics learning media by using pop-up book nets of building spaces. The ADDIE development model was used in this study. Based on the validity test conducted by material experts and media experts, this media falls into the valid category. To see the effectiveness of the props obtained from the results of observations and interviews. Meanwhile, the practicality aspect is seen by evaluating the practicality by teachers and students. According to this assessment, the teacher assigned a score of 54 to the practicality value, while students averaged 60. Both scores obtained are in the practical category. Therefore, the learning media learning pop-up book nets of spaces developed is valid, effective, and practical. Teachers can use this teaching aid as an alternative to encourage engaging learning and improve student understanding, especially in elementary school geometry.
Peningkatan Keterampilan Berpikir Kritis dalam Matematika Sekolah Menengah melalui Discovery Learning Berbantuan LKPD
This research is motivated by the results of observations that indicate that the critical thinking skills of students at SMAN 2 Yogyakarta still need to be improved. This is seen during learning practices, where they are still fixated on the formulas they have memorized to solve problems, so that not many students can provide further explanations about solving the problem. On the other hand, the pretest results also show that the average value of students' critical thinking skills is still very low, namely 30.76% with 1 student having high critical thinking skills and 33 others still classified as low and very low. Therefore, this Classroom Action Research (CAR) is a study that aims to improve critical skills in high school mathematics through discovery learning assisted by LKPD. This research was conducted in two cycles, each cycle consisting of four stages: planning, implementation, observation, and reflection. The results of the study show an increase in critical thinking skills from cycle I to cycle II. In cycle I, the average percentage of students' critical thinking skills reached 73.64% (medium category), while in cycle II, it increased to 80.72% (high category). Thus, this classroom action research succeeded in achieving the expected goal, namely, improving critical thinking skills in secondary school mathematics through the application of the Discovery Learning model assisted by LKPD
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Miskonsepsi Siswa dalam Menyelesaikan Masalah Pecahan berdasarkan Tingkat Keyakinan Siswa
This study aims to describe students’ misconceptions in solving fraction problems based on their level of belief. The research method employed is qualitative, with a descriptive research approach. Subjects were selected students who experienced misconceptions in solving problems. The results of examining students’ answers showed that out of 27 students, 18 did not know the concept, and 9 had misconceptions. Selected 5 students who experienced misconceptions as subjects to ensure data variation due to similarities in the answers or responses given. The misconceptions made by the subjects include: 1) Generalization misconception occurred because the subjects made mistakes in explaining the meaning of numerator and denominator of fractions and mistakes in applying the concept of addition and substructions of fractions; 2) Calculation misconception occurred because the subject made mistakes in calculating fractions and mistakes in simplifying fractions; 3) Notation misconception occurred because the subject made mistakes in using operation symbols and mistakes in writing numbers; 4) Language misconception occurred because the subject made mistakes in converting information into mathematical language. To overcome this problem, teachers are advised to provide a deeper conceptual understanding and practice problems regularly to improve students' understanding.
Analisis Kemampuan Penalaran Matematis Siswa Kelas VIII dalam Menyelesaikan Soal AKM Pola Bilangan Serupa PISA
Mathematical reasoning is an essential competency assessed in the Asesmen Kompetensi Minimum (AKM) and PISA because it supports students in understanding and solving problems. However, studies have shown that Indonesian students’ mathematical reasoning ability is not optimal. This study employs a qualitative descriptive approach using a phenomenological framework to describe the mathematical reasoning abilities of grade VIII students in solving AKM problems related to number patterns, similar to those found in PISA, with data analysis conducted using Miles and Huberman's method. The research instruments were researchers, AKM problems of number patterns similar to PISA, and interview guidelines. Subjects were taken from each level of reasoning ability, namely the extending, consolidating, developing, beginning, and not evident levels. The results showed that students at the extended level can connect number patterns with the area of flat shapes, write patterns, use two methods, create new ideas, and show generalizations. Consolidating students are able to connect number patterns with the area of ​​flat shapes, to write properties, to find differences in patterns, to conclude, to use two methods, and to show examples of counterexamples of conjectures. Developing students can expand patterns, convert images, prove conjectures, and identify differences in patterns, but are not yet able to draw conclusions. Beginning students cannot write conjectures and patterns, make errors in writing, using, and converting units, and perform calculations. Students at the not evident level cannot convert images, are not aware of the relationship between number patterns and the area of ​​flat shapes, as well as rows and columns, and cannot make conjectures about number patterns.
Pengembangan E-LKPD Interaktif Berbasis Liveworksheets dalam Pembelajaran Berdiferensiasi pada Materi Limas Fase D
This study aims to develop an interactive e-worksheet (E-LKPD) based on Liveworksheets for differentiated learning on the topic of pyramids (limas) in Phase D that is valid, practical, and effective in improving student learning outcomes. The research employed a development method using the ADDIE model, involving eighth-grade students as subjects. Instruments used include validity, practicality, and effectiveness instruments, with data collected through questionnaires and learning outcome tests. The developed product consists of three E-LKPDs tailored to students’ readiness levels: developing, proficient, and highly proficient. Validation results show an average score of 3.81 out of 4, categorized as very valid. Practicality was measured through teacher and student responses, yielding an average of 76.26%, which falls into the practical category. Effectiveness was assessed based on the learning test results, showing a mastery level of 89%, indicating that the E-LKPD is effective for classroom use. This study is essential due to the growing need for interactive learning materials that accommodate differences in student learning abilities, particularly within the current differentiated learning framework. Moreover, the use of digital tools like Liveworksheets remains underutilized, especially in mathematics topics such as pyramids. This E-LKPD is expected to make learning more engaging and tailored to individual needs, and serve as a foundation for future development of more innovative digital learning materials.
electronics interactive students’ worksheets (E-LKPD)
Komunikasi Matematis: Profil Siswa dalam Menyelesaikan Masalah Kontekstual Secara Kolaboratif
The development of the 21st century demands that students not only have the ability to think critically and creatively, but also communication skills, especially in mathematics learning. However, various studies show that students still have difficulty communicating their mathematical ideas, both verbally and in writing, especially when working in groups and facing contextual problems. The purpose of this study is to describe the mathematical communication profile of students in solving contextual problems collaboratively reviewed based on high, medium, and low self-efficacy. A qualitative approach with an exploratory research type is used in this study. The subject of the study is a student of class XI MAN 2 Malang. The research data were obtained through the results of the Contextual Problem Solving Task (TPMK) and interviews. Data analysis was carried out by the triangulation method. The results showed that students with high self-efficacy tended to communicate their mathematical ideas orally. Students with self-efficacy showed balanced verbal and written communication but were less consistent in explaining mathematical models and operations, while students with low self-efficacy were more dominant in written communication.
How Self-regulated Learning and Motivation Affect Mathematics Outcomes of Students Living in Boarding Schools and at Home
This study aims to analyze the effects of self-regulated learning and learning motivation on mathematics learning outcomes among students residing in boarding schools and at home. The study used a quantitative approach with a survey method. The sample consisted of 90 students of Madrasah Aliyah in Yogyakarta, which was taken using a purposive sampling technique, with 45 students living in boarding schools and 45 students living at home. The research instruments included questionnaires to measure self-regulated learning and learning motivation, as well as midterm assessment test results to evaluate mathematics learning outcomes. The data were analyzed using multiple linear regression. The results showed that self-regulated learning and learning motivation had an influence of 7.9% on the learning outcomes of students living in boarding schools and 8.5% on students living at home. Learners at home exhibited a stronger positive relationship between learning motivation and learning outcomes compared to learners in boarding schools. Learning motivation, especially intrinsic ones, is an important factor in supporting learners' learning outcomes at home, while the structured environment in boarding schools tends to make other factors, such as teaching methods and facilities, more dominant.
Pengembangan Video Animasi Melalui CapCut Berbasis Model Pembelajaran Metakognisi Kolaboratif pada Konten Fenomena Pertumbuhan untuk Meningkatkan Literasi Matematika
The research was conducted to improve mathematical literacy skills in the content of the growth phenomenon in class VIII C MTs Miftahul Huda through the development of learning videos based on the collaborative metacognition learning model assisted by CapCut. The research method used is the Research and Development Plomp model through three phases, namely preliminary analysis, prototyping, and assessment. Preliminary analysis produces the need for packaging mathematics learning that can invite students to understand mathematics material easily and solve contextual problems appropriately, so that students' mathematical literacy skills can be improved. Prototyping is carried out by designing a learning video that contains a video opening, problem presentation, problem solving, mathematical concept discovery, and video closing. The assessment was carried out by means of feasibility tests, practicality tests, and learning video effectiveness tests. The results of the video feasibility test from media experts were 0.97 and material experts were 0.97 which stated that they were very valid (feasible). Students rated the videos as very easy to use, useful, engaging, and encouraged metacognitive (practical) activities. Students' mathematical literacy increased in the medium category after using learning videos based on the collaborative metacognition learning model. Students need to get used to building mathematical concepts through contextual problem-solving even though their application takes a relatively long time. On this basis, advanced researchers need to consider the advantages of online learning that provide students with learning flexibility in building their mathematical understanding.
Hambatan Guru dalam Pengajuan Soal Literasi Matematika Bertema Word Problem
Teachers play a crucial role in developing students' mathematical literacy skills. One way teachers can assess their mathematical literacy skills is by how they pose questions with a word problem theme. Word problem questions are mathematical problems that occur in everyday life and are presented in narrative form. However, in reality, mathematics teachers often give questions in the form of mathematical symbols. This study aims to explore the obstacles experienced by teachers in compiling word problem mathematical literacy questions and their solutions. The method used is descriptive qualitative, with data collection techniques using tests and interviews. The data is then analyzed with the stages of reduction, data presentation, and conclusion. The subjects in this study were teachers from seven different schools in Jombang Regency. The results of the study showed that the obstacles for teachers in submitting mathematical literacy questions were: difficulty in developing interesting and relevant questions to real life, difficulty in developing HOTS questions, lack of evaluation in the process of compiling mathematical literacy questions, time constraints, lack of familiarity with interactive technology and lack of training in compiling mathematical literacy questions. The solutions offered: providing mathematical literacy training through discussions and workshops, encouraging teachers to collaborate and share question ideas with other teachers, and providing relevant technology training.
Pengembangan Media Pembelajaran Matematika Integrasi Keislaman Berbasis Digital untuk Mendukung Implementasi Kurikulum Merdeka dan Profil Pelajar Pancasila
The lack of mathematics learning media used and the lack of students' understanding of the sequence and series material often result in students having difficulty solving problems in the material. In mathematics learning, students not only obtain cognitive values, but also affective values ​​that can support the implementation of the Independent Curriculum and the Pancasila Student Profile, one of which is the first dimension. This study aims to develop digital-based Islamic-integrated mathematics learning media that can make it easier for students to understand the material, namely in the form of learning videos developed using Powtoon on the sequence and series material for class X. This study is a Research and Development (RnD) study with the ADDIE development model consisting of 5 stages, namely Analysis, Design, Development, Implementation, and Evaluation. The data collection instruments in this study were in the form of field note sheets, validation sheets, and questionnaire sheets. The Islamic-integrated mathematics learning video obtained validation results from media experts of 85.71%, material experts of 85.42%, integration experts of 78.125%, and language experts of 85.71%. In addition, the percentage of practicality from teachers was 92%, from small group trials it was 83.75%, and from large group trials it was 78.63%. Based on the questionnaire given, students became more knowledgeable about sequences and series.
MATHMART: Media Pembelajaran Matematika Digital Bermodel PBL Berpendekatan STEM untuk Pemenuhan Tuntutan Pendidikan Abad 21
The 21st century demands that education implement student-centered learning, involve technology, and present learning that stimulates 4C abilities (critical thinking, creative thinking, collaboration, and communication). However, mathematics learning in formal education has not been able to meet the existing demands. Many the mathematics learning in formal education has not honed students' 4C abilities. As a solution, researchers took the initiative to develop MATHMART learning media that contain the material of the Two-Variable Linear Equation System (SPLDV) for grade VIII SMP/MTs students. Unlike other learning media, MATHMART has integrated the STEM approach and the Problem-Based Learning (PBL) model in its development. The type of research is Research and Development with the 4D model (Define, Design, Develop, Disseminate). The results of this study are an average percentage of validation at the development stage by media experts of 80.5% and material experts of 86%, both of which are categorized as very valid with slight revisions. After the revision, a practicality test was conducted on 22 students at Mifathussa'adah Middle School in Kudus, and an average percentage of the practicality questionnaire was 85%, with a convenient category. MATHMART learning media helps students better understand SPLDV material and develop students' 4C abilities. Thus, MATHMART learning media can be used to help educators and students in achieving the demands of the 21st century.
Pengembangan Instrumen Pengukuran Kedisiplinan Siswa
Measuring student discipline is crucial because it helps create an orderly and conducive learning environment and teaches responsibility and self-control. This study aims to develop an effective non-test instrument for measuring student discipline using Exploratory Factor Analysis (EFA) and the Partial Credit Model (PCM) from Item Response Theory (IRT). The instrument was analyzed using EFA, which successfully identified five main factors corresponding to aspects of discipline: self-control, compliance (adherence to rules), concentration ability, strong determination, and responsibility. IRT analysis with the PCM model revealed that the items in the instrument had varying levels of difficulty and discrimination, with nine out of 15 items showing good discriminatory power. This instrument can provide accurate and reliable measurements of student discipline, assisting educators in identifying areas needing improvement and designing appropriate interventions to support character development. This study demonstrates that combining EFA and IRT PCM can produce a valid, reliable instrument with good discriminatory power.
Pengaruh Model Pembelajaran Search, Solve, Create, and Share (SSCS) terhadap Kemampuan Literasi Matematis Ditinjau dari Self-efficacy Siswa
Tujuan penelitian ini adalah untuk mengetahui pengaruh model pembelajaran Search, Solve, Create, and Share (SSCS) terhadap kemampuan literasi matematis ditinjau dari self-efficacy siswa. Penelitian ini menggunakan jenis quasi experimental bentuk nonequivalent posttest-only control group design. Sampel dalam penelitian ini yaitu kelas VIIB dan VIIE, dengan pemilihan sampel secara cluster ramdom sampling. Pengambilan data menggunakan instrumen tes dan non-tes, lembar observasi, pedoman wawancara serta angket validasi. Teknik analisa data dilakukan melalui analisa tahap awal dengan uji independent sample t-Test untuk mengetahui keseimbangan kemampuan awal siswa, serta tahap akhir dengan uji anava dua jalan dan uji pasca anava yaitu uji scheffe. Hasil dari penelitian ini yaitu: 1) Kemampuan literasi matematis siswa yang mendapatkan model pembelajaran SSCS lebih baik daripada siswa yang mendapatkan model pembelajaran langsung; 2) Terdapat perbedaan kemampuan literasi matematis antara siswa dengan self-efficacy tinggi, sedang, dan rendah 3) Tidak terdapat interaksi antara model pembelajaran dan self-efficacy terhadap kemampuan literasi matematis.
Pengembangan Alat Peraga Mathdoku 5x5 untuk Meningkatkan Kemampuan Logika Siswa
The aim of this research is to develop practical, valid and effective teaching aid to improve mathematical logic skills. The teaching aid developed is Mathdoku 5x5, which is a number puzzle game that is similar to Sudoku but also provides additional challenges so that players must use their counting skills. This research adopts the ADDIE development model which includes analysis, design, development, implementation and evaluation. Testing the validity of the teaching aids was carried out by involving experts at each stage of ADDIE, while testing the practicality and effectiveness of the teaching aids was carried out through trials on undergraduate to doctoral students and students. Data was collected through observation and interviews and analyzed descriptively. The research results show that Mathdoku 5x5 was successfully developed from the analysis to evaluation stages. The trial results showed that the test subjects could easily use this learning tool. These results show that this teaching aid is a practical tool. Furthermore, the use of Mathdoku 5x5 teaching aids has been proven to increase interest and ability in mathematical logic. This confirms that Mathdoku 5x5 can be classified as an effective teaching aid. Thus, it is concluded that Mathdoku 5x5 is a valid, practical, and effective teaching aid.
Pendekatan Teaching at the Right Level dalam Mengatasi Kesenjangan Pemahaman Matematika Peserta Didik
Mathematics is a fundamental compulsory subject in various fields of life and technology. However, many students consider mathematics difficult and boring, so many students have difficulty learning. This study aims to overcome the gap in mathematical understanding of class VII C students of SMP Negeri 1 Balung through the Teaching at the Right Level (TaRL) approach and the Problem Based Learning (PBL) learning model. The method used is Classroom Action Research (PTK) with two cycles. Each cycle involves the planning, implementation, observation, and reflection stages. This study was conducted on 31 students with statistical data presentation material. The results showed an increase in the average value from 79.4 in cycle I to 82.7 in cycle II. The increase in the lowest value from 54 to 67 indicated a reduction in the gap in understanding. In addition, the number of students who achieved completeness increased by 12.5%. The TaRL approach combined with PBL is effective in improving learning outcomes and reducing the gap in student abilities. However, this approach requires more preparation by teachers, including grouping students and creating learning materials that are appropriate to the level of student ability. TaRL can also be used to increase student interest, motivation, and learning activity.
Pemecahan Masalah: Studi Terkait Peran Jenis Kelamin pada Model Mental Mahasiswa
The purpose of this study is to describe the mental model of students in solving algebraic proof problems reviewed based on their gender. This study is a descriptive study. Data and data sources were obtained through problem-solving questionnaire instruments and subject interviews. The study was conducted at UIN Maulana Malik Ibrahim Malang. The subjects used were one male student and one female student with high GPAs. The validity of the data was tested using time triangulation. Data analysis refers to Miles Huberman's data analysis technique. The results of the study indicate that the mental model of male students in solving algebraic proof problems includes an implicational mental model and a functional mental model, while in terms of structure, the syllogistic decision making that occurs is invalid. While the mental model of female students in solving algebraic proof problems includes an implicational mental model, a functional mental model, and a structural mental model.
Pengaruh Model Pembelajaran Teams Games Tournament (TGT) Berbantuan Q-Cardsox terhadap Kemampuan Pemahaman Konsep Matematis Siswa Kelas VII
The low ability to understand mathematical concepts among SMPN 4 Magelang students is caused by the model and media used in learning. The purpose of this study is to analyze student learning completeness and determine which learning model is better between the Teams Games Tournament (TGT) model assisted by Q-Cardsox media and the direct learning model based on students' mathematical concept comprehension abilities. This research is a quantitative approach with a quasi-experimental type of research and uses a post-test only control group design. Samples were taken using the cluster random sampling technique, resulting in VII C as the experimental class and VII F as the control class, each consisting of 30 students. The research results show that the students' ability to understand mathematical concepts taught using the direct learning model did not achieve classical completeness. Meanwhile, those taught using the Teams Games Tournament (TGT) model assisted by Q-Cardsox achieved classical completeness. The ability to understand mathematical concepts of students taught with the Teams Games Tournament (TGT) model assisted by Q-Cardsox is better than the ability to understand concepts of students taught with the direct learning model.
Eksplorasi Translasi Representasi Matematis Mahasiswa dalam Penyelesaian Masalah Analisis Validitas Argumen
The ability to translate among mathematical representations is one of the 21st-century skills that students need to have. This ability is often challenging for students, especially in translating verbal to symbolic or visual forms. One of the materials that requires translation skills is argument validity analysis. This study aims to explore the mathematical translation process of students use in completing argument validity analysis. This study is a qualitative study with an exploratory approach. The subjects of the study were 3 Mathematics Education students who were selected through purposive sampling and analyzed in depth using Polya's problem-solving stages and Bosse's translation process. The results showed that the problem-solving process went hand in hand with mathematical translation activities. Subjects who carried out the mathematical translation process correctly and completely tended to solve problems better. Subjects made several mistakes in the translation process, including misinterpretation and implementation errors that resulted in inaccurate argument validity analysis. These findings indicate that mathematical translation skills are an important basis for solving argument validity analysis problems. Therefore, learning strategies that support the improvement of mathematical translation skills need to be developed to strengthen students' critical thinking skills in analyzing the validity of arguments at the higher education level.
Pengembangan METABUL (Media Tangkas Operasi Bilangan Bulat) untuk Melatih Kemampuan Berpikir Kreatif Siswa Kelas 7
Using manipulative media can help children who are having trouble learning mathematics. In addition to simplifying the learning process, this manipulative media helps pupils develop their capacity for original thought. Creative thinking abilities are crucial because it inspire students to try different approaches to addressing problems, promotes creativity, and raises their level of involvement in class activities. Despite the significance of creative thinking abilities, prior studies have shown that Indonesian students still need to improve their levels of these capabilities, particularly regarding integer operations. Thus, to fill this gap, this research developed Media Tangkas Operasi Bilangan Bulat (METABUL). This media used the ADDIE paradigm in research and development (R&D) to stimulate students' capacity for creative thinking. Interview guidelines, learning media validation questionnaires, and teacher and student response questionnaires are the data collection instruments used in this research. The research participants were six class VII junior high school students in Malang City with three validators (one practitioner and two experts). Research findings show that developing METABUL manipulative media has a high level of validity of 93.17% and a good response from teachers at 86% and students at 87.41%.
Kemampuan Metaphorical Thinking dalam Menyelesaikan Soal HOTS SPLDV ditinjau Tipe Gaya Belajar
This research aims to analyze students' metaphorical thinking abilities in solving HOTS questions on SPLDV material in terms of auditory, visual, and kinesthetic learning styles. This type of research is descriptive with a qualitative approach. The results of the research show that: 1) the metaphorical thinking abilities of auditory-type students are capable and good at the connect, relate, and explore stages. The transform and analyze stages were quite good. This can be seen from the condition of students who still experience doubts in explaining and make mistakes in solving problems. Students are not yet able to perform well at the experience stage; 2) the metaphorical thinking ability of visual-type students is capable and good at the relate and explore stages. The connect, analyze, and transform stages were quite good. This can be seen from the condition of students who still have not written down complete information and make mistakes in solving problems. Students are not yet able to perform well at the experience stage; 3) the metaphorical thinking ability of kinesthetic type students is capable and good at the relate and transform stages. The connect, explore, and analyze stages were quite good. This can be seen from the condition of students who still experience doubts in explaining and make mistakes in solving problems. Kinesthetic-type students can do quite well at the experience stage.
Lapisan Pemahaman Matematis Pirie-Kieren dan Pencapaiannya Melalui Scaffolding: Studi Kasus Pemecahan Masalah Sistem Persamaan Linear Dua Variabel (SPLDV) Siswa SMP
This research aims to uncover layers of students' mathematical understanding and provide scaffolding to achieve all layers of Pirie-Kieren's mathematical understanding. This study is qualitative research with a multiple case study design. The research subjects are categorized into three types: (1) S1A and S1B are students who write structured problem-solving steps and their answers are correct, (2) S2A and S2B are students who write structured problem-solving steps but make mistakes in some steps resulting incorrect answers, and (3) S3A and S3B are students who write unstructured problem-solving steps but their answers are correct. Two subjects are chosen from each category to generate saturated data. The results of this research indicate that (1) S1A and S1B experience folding back to the inner layers, then systematically reach all layers of mathematical understanding after scaffolding, (2) S2A and S2B reach certain outer layers of mathematical understanding after scaffolding, (3) S3A and S3B reach certain inner layers of mathematical understanding after scaffolding. This research found that each subject reaches all layers of Pirie-Kieren's mathematical understanding after scaffolding through three methods: (1) providing prompting questions, (2) providing problem-solving examples, and (3) providing constructive feedback on subject answers. The teacher’s understanding of students' Pirie-Kieren mathematical understanding layers can be used to improve learning.
layers of student's mathematical understanding
Pengaruh Model Pembelajaran Kooperatif Tipe Double Loop Problem Solving terhadap Kemampuan Penalaran Adaptif dan Disposisi Matematis pada Materi Trigonometri
This study was motivated by the low quality of education in Indonesia based on the results of PISA 2018, the implementation of the 2013 Curriculum which did not follow the use of appropriate learning models, as well as the low adaptive mathematical reasoning abilities and mathematical disposition of students. This research aims to determine the influence of the Double Loop Problem-Solving cooperative learning model on the adaptive reasoning abilities and mathematical disposition of class X students at SMA Negeri 1 Karangan on Trigonometry material. This research was conducted using a quantitative approach with a Quasi-Experimental research type and a Nonequivalent Posttest-Only Control Group Design. As for sampling, non-probability sampling was used with the Purposive Sampling technique with class X MIPA 3, totaling 35 students, as the experimental class and X MIPA 4, totaling 36 students, as the control class. Data collection techniques using tests, questionnaires, and documentation. The data analysis technique in this research uses the Manova test. The research results show that there is a significant influence due to the application of the Double Loop problem-solving cooperative learning model on students' adaptive reasoning abilities and mathematical disposition.
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Efektivitas Problem-based Learning Berbantuan Media Pembelajaran Kartu Etnomatematika Batik Jombangan dalam Meningkatkan Motivasi Belajar Peserta Didik SMP
Geometric transformation material requires the role of imagination to link theoretical concepts with real examples. The PBL model can be a means for students to be more active in solving geometric problems, but abstract geometric concepts need to be combined with surrounding objects. One of the surrounding objects that has the concept of geometric transformation is the Jombangan batik cloth. The aim of this research is to determine the effectiveness of problem-based learning assisted by Jombangan batik ethnomathematics cards in increasing junior high school students' learning motivation on geometric transformation material. This research uses a quantitative approach type one-group pretest-posttest design. The research subjects were 32 students in class 7A of Al-Furqon Middle School. Researchers used Jombangan batik ethnomathematics card media as a medium for PBL learning on geometric transformation material. Furthermore, the research instruments used were pretest and posttest learning motivation questionnaires and learning outcomes tests. The data analysis technique used is the paired sample t-test from the results of the learning motivation questionnaire and is supported by learning outcome test scores. Based on the results of the hypothesis test, a significance value of 0.001 (0.001 < 0.05) was obtained, so it can be concluded that PBL learning assisted by Jombangan batik ethnomathematics cards is effective in increasing students' learning motivation on geometric transformation material. The results of the hypothesis test are supported by the results of student learning tests where 90% of students obtained a score above 75.
Profil Pengajaran Guru Matematika terhadap Kemampuan Pengelolaan Kelas Berbasis Rencana Kegiatan Belajar Mengajar (RKBM) pada Materi Pertidaksamaan Rasional
Good classroom management is very necessary for teachers to achieve learning objectives. However, previous research states that classroom management in the implementation of mathematics learning on rational inequality material is still less than optimal. This is caused by the lack of the teacher's ability to manage the class. As a result, students are less interested in participating in learning activities. Therefore, this study aims to describe the teaching profile of mathematics teachers on classroom management skills on rational inequality material based on the Teaching and Learning Activity Plan (RKBM). This research uses descriptive research with a qualitative approach. The participants of this study were a mathematics teacher of MAN 2 Malang City and 36 students of S1 IPS-1 (Grade 10). Data collection techniques were observation, interview, and documentation. Data analysis techniques were carried out in several stages, namely data collection, data condensation, data presentation, and conclusion drawing. The results showed that RKBM-based mathematics teacher teaching could support good classroom management including, the majority of students being enthusiastic in participating in learning activities and students orderly carrying out the instructions given by the teacher. The results of this study can be used as a reference for teachers to design creative and interactive learning activities
Pengembangan Media Pembelajaran Berbantuan Lectora Inspire dan Plotagon pada Materi SPLDV untuk Meningkatkan Kemampuan Berpikir Kritis Siswa
This research aims to describe the process and results of the development of learning media with 3D characters assisted by Lectora Inspire and Plotagon software to improve student's critical thinking skills in the material of systems for solving systems of linear equations in two variables. This research uses research and development methods with a 4D development model. This development model consists of four stages, namely definition, design stage, development stage, and dissemination stage. The learning media developed must meet the feasibility requirements, namely valid, practical, and effective. The results of this research show that the average validity value of the 3 validators is 90% and is included in the valid category. The level of practicality of learning media is 92% based on user questionnaire responsses and is included in the practical category. The level of effectiveness is determined based on the N-Gain results of 28 students who took the pretest and posttest with a percentage result of 79% so it is in the effective category. Based on these results, the learning media developed was proven to be valid, practical, and effective in improving students' critical thinking skills.
Analisis Penyebab Rendahnya Kemampuan Pemecahan Masalah Calon Guru Matematika Menggunakan APKL, USG, dan Diagram Fishbone
Problem-solving is one of the process standards that has been discussed by NCTM and is very important for prospective mathematics teachers to master. The reality is that prospective mathematics teachers have low problem-solving abilities, so it is necessary to analyze the causes of these low-solving abilities. This research aims to uncover the causes of the low problem-solving abilities of prospective mathematics teachers using PKL, USG, and fishbone diagrams. The research method used is qualitative. The research subjects were students of the Mathematics Education study program, FMIPA, Universitas PGRI Banyuwangi who were prospective mathematics teachers according to the achievements of study program graduates. The main instrument of this research is the researcher. Meanwhile, supporting instruments include tests, open questionnaires, researcher notes, interviews, and documentation. Data analysis was carried out using the APKL, followed by the USG method, and then using the fishbone diagram. The results of the research reveal that the causes of low problem-solving abilities are inadequate procedural abilities in solving mathematical problems, inadequate declarative knowledge or knowledge of mathematical concepts, inadequate representational abilities, biological problems, and inadequate interests. This research provides signs for educators to anticipate the causes of the low problem-solving abilities of prospective mathematics teachers.
Pengembangan LKPD dengan Pendekatan STEAM melalui Model PjBL untuk Menumbuhkan Keterampilan Berpikir Kreatif pada Materi Lingkaran Kelas VIII
Creative thinking is an important skill that includes aspects of flexibility, fluency, originality and elaboration. One of the problems encountered in the field is the low creative thinking skills of students. One of the teaching materials that can help teachers overcome this problem is the innovative Student Worksheet (LKPD) with a STEAM approach through the PjBL model in circle material which has relevance to creative thinking skills. This research aims to describe the process and results of developing LKPD using the STEAM approach through the PjBL model to foster creative thinking skills in valid class VIII circle material. This research uses a research and development (R&D) approach referring to the Holistic 4D development model which is adapted to only include the define, design and develop stages. The research results show that the feasibility percentage based on the media expert's assessment is 80% and the feasibility percentage based on the material expert's assessment is 86.8%. Meanwhile, the eligibility percentage based on the results of the practitioner questionnaire was 86.7% and the eligibility percentage obtained based on the results of the user questionnaire was 86.9%. Thus, the product developed is suitable for use as teaching material that fosters students' creative thinking skills.
Kepraktisan dan Keefektifan Penggunaan E-LKPD Konteks Sosial Budaya Berbantuan Workbook GeoGebra terhadap Kemampuan Numerasi Peserta Didik pada Materi Limas
Numeracy is a person's ability to implement mathematics in the home, work and community environments. This research aims to measure the practicality and effectiveness of using E-LKPD in a socio-cultural context assisted by GeoGebra workbooks in improving students' numeracy skills in pyramid material. The type of research used was a quasi-experiment (Quasi-experiment) with research subjects 21 class VIII students at SMPN 1 Kalisat Jember. The practicality of E-LKPD is assessed from the results of student response questionnaires, while the effectiveness of E-LKPD is assessed from the results of students' numeracy ability tests. The use of E-LKPD is said to be practical if the average percentage of students' questionnaire responses is at least in the practical category, and effective if students' numeracy skills are at least in the medium category. Based on the practicality analysis, the results of the student response questionnaire regarding the use of E-LKPD obtained a percentage of 81.67% or were in the practical category. In addition, the use of E-LKPD shows an increase in students' numeracy skills on all numeracy indicators. This can be seen based on the results of the numeracy ability test which obtained an N-Gain score of 0.51 or at a medium effectiveness level. Therefore, the use of E-LKPD in a socio-cultural context with the help of GeoGebra workbooks is practical and effective for improving students' numeracy skills, especially in learning surface area and volume of pyramids.
Conceptual Understanding of Students with Special Needs in Two-dimensional Shapes Based on Pirie Kieren's Theory
This study aims to describe the conceptual understanding of two-dimensional shapes in students with special needs based on Pirie Kieren's theory in terms of learning motivation. This research is a case study with the research subject is 1 students with special needs of class IV at SDN Pademawu Timur V The results of this study are low learning motivation with layers of understanding on the square starting from Image making then head to property noticing to ineffective folding back to image making and do ineffective folding back again to primitive knowing. In solving the square problem, the subject doubled back to ineffective image-making and primitive knowing. Meanwhile, in the rectangular problem, the subject does one folding back to image making. There are similarities in solving square and rectangular problems, for example, the subject describes the two-dimensional shape first before image making and folding back because they don't know how to calculate the area of a square and rectangle. From the similarities and differences in the thinking flow of students with special needs in squares and rectangles, educators are expected to be able to pay attention to their understanding abilities and learning motivation before carrying out learning.