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PEMECAHAN MASALAH NUMERASI KONTEN GEOMETRI DAN PENGUKURAN LEVEL PENALARAN SISWA SMA DITINJAU DARI GAYA KOGNITIF FIELD INDEPENDENT DAN FIELD DEPENDENT Masrurroh, Aidatul; Rahaju, Endah Budi; Susanah, Susanah
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 5 No. 3 (2024): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v5i3.775

Abstract

Minimum Competency Assessment (AKM) of numeracy is one part of the National Examination held by the government today as a replacement for the National Examination. Grønmo (2015) explains the importance of numeracy for students' lives, namely that it can help students solve contextual problems both in the scope of mathematics learning in schools and contexts outside of school. The results of Indonesia's participation in the TIMSS (2015) event were that Indonesia ranked 44th out of 49 countries with a mean numeracy score of 397 from an overall average of 505. It can be said that the numeracy score obtained by Indonesia is far below the overall average. The purpose of this study was to describe the problem solving of geometry content numeracy and measurement of high school students' reasoning levels in terms of the Field Independent (FI) and Field Dependent (FD) cognitive styles of grade XI 8 students at SMAN 1 Krian. The type of research used in this study is descriptive research with a qualitative approach. The sampling technique used a purposive sampling technique with a criterion sampling type in order to select subjects. The instruments for collecting data in this study were cognitive style tests or Group Embedded Figures Test (GEFT) and numeracy problem solving tests (TPMN). All grade XI 8 students were identified for their cognitive style types using GEFT, then one student was taken each representing each type of cognitive style to be given TPMN. Furthermore, the results of TPMN were analyzed and interviews were conducted. The results of the study showed that: 1) students with Field Independent (FI) cognitive style were able to meet the indicators at the stage of understanding the problem, making a plan, and implementing the plan; but were less able to meet the indicators at the stage of re-checking the results, and overall the analytical reasoning level indicators dominated the solving of numeracy problems, 2) students with Field Dependent (FD) cognitive style met the indicators at the stage of understanding the problem and making a plan but were unable to meet the stage of implementing the plan and re-checking the results so that only a few analytical indicators were seen in solving numeracy problems
IMPLEMENTASI PENDEKATAN TaRL UNTUK MENINGKATKAN KEMAMPUAN BERPIKIR KRITIS PESERTA DIDIK KELAS X SMKN 1 SURABAYA Khafidhoh, Masruroh; Rahaju, Endah Budi; Wahyuni, Indah Saptaning
Jurnal Karya Pendidikan Matematika Vol 11, No 2 (2024): Jurnal Karya Pendidikan Matematika Volume 11 Nomor 2 Tahun 2024
Publisher : Universitas Muhammadiyah Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26714/jkpm.11.2.2024.29-42

Abstract

This study is motivated by the low critical thinking skills of X MP 3 grade students at SMKN 1 Surabaya, where 22 out of 35 students failed to meet the Minimum Competency Criteria (KKM) in the pre-test. Teacher-centered learning often overlooks the varying levels of student understanding, leading to gaps that need to be addressed. This classroom action research aims to improve students' critical thinking skills through the Teaching at the Right Level (TaRL) approach, which is tailored to the specific needs of each student. Conducted in two cycles, the study shows significant improvement in students' critical thinking abilities. The average pre-test score was 51.00 with a 37% pass rate. After implementing TaRL, the average score on the first post-test at the end of the first cycle increased to 70.86 with a 69% pass rate, and the second post-test at the end of the second cycle showed an increase to 83.77 with an 83% pass rate. This improvement indicates progress in interpreting, analyzing, evaluating, and making inferences. TaRL proved to be effective and is recommended for further exploration regarding its long-term impact and scalability in education.
Berpikir Relasional Siswa SMP dalam Memecahkan Masalah Bangun Ruang Sisi Datar ditinjau dari Gaya Kognitif Nurrohmi, Faninda Jamilah; Rahaju, Endah Budi
MATHEdunesa Vol. 13 No. 3 (2024): Jurnal Mathedunesa Volume 13 Nomor 3 Tahun 2024
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathedunesa.v13n3.p916-939`

Abstract

In the process of problem solving, a student will engage in the activity of thinking and connecting the information in his mind. One kind of thinking that can help the problem solving process and find the right solution is relational thinking. The aim of this research is to describe junior high school students relational thinking using cognitive styles field dependent and field independent in solving polyhedron problems. This research is qualitative descriptive research carried out in class VIII-B of Public Junior High School 1 Surabaya, even semester of the 2022/2023 academic year. This research was carried out on students who had received geometry material, especially regarding the volume of polyhedron. The subjects in this research were two students, namely students field dependent (FD) and field independent (FI) with equivalent mathematical abilities. This research used instruments in the form of the GEFT test, mathematics ability test, problem solving test, and interview guide. The results of this research show that field dependent and field independent students when understanding the problem, FD and FI students carry out relational thinking activities well, namely identifying the information that exists in understanding the problem given and explaining the relationship between the information in the problem and the knowledge that the students have. and related to the problem given. In the step of making a problem solving plan, FD and FI students can determine and choose the most suitable strategy for solving the problem according to the information known and the knowledge the students have. Next, FD and FI students can carry out problem solving plans. At this stage, FD students carry out problem solving according to the strategy and produce the right answer, while FI students experience errors in substituting values ​​and calculation errors to find the final result on each question. In the step of re-examining problem solving, FD and FI students can build connections between the answers and the problems given by making verbal conclusions regarding the results related to the answers to the problems given. The FD student's conclusion was correct, while the FI student's conclusion was incorrect because they experienced a calculation error in the previous stage. One of the causes of mistakes made by FI students is that FI students do not carry out activities to double-check the problem solving steps. Meanwhile, FD students carried out activities to double-check each step in solving the problem.
Kemampuan Berpikir Aljabar Siswa SMP dalam Menyelesaikan Masalah Relasi dan Fungsi Ditinjau dari Perbedaan Jenis Kelamin Ramanda, Alvira; Rahaju, Endah Budi
MATHEdunesa Vol. 13 No. 3 (2024): Jurnal Mathedunesa Volume 13 Nomor 3 Tahun 2024
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Algebraic thinking is a mental activity that occurs within a person in using symbols, generalizing, formulating relationships between patterns and developing variable concepts in problem solving. This study aims to describe the algebraic thinking ability of junior high school students with male and female gender in solving relation and function problems. Researchers conducted an algebraic thinking ability test on two junior high school students in Surabaya with high mathematics ability based on the results of the mathematics ability test. The results showed that male and female students on the generalization indicator, can find information contained in the relation and function problems, and identify patterns based on the objects given systematically. Likewise, on the abstraction indicator, both students can express something that has no known value in algebraic form and make equations from the relationship between the objects given. In the dynamic thinking indicator, male and female students can predict the relationship between known values to determine the next value, but only female student can solve with two different alternative ways. On the organization indicator, male student can arrange the information obtained into a logical deduction strategy, while female student arrange the information in the form of a graph but are less precise to describe the problem situation and the relationship between the conditions of the overall problem. On the modeling indicator, only male student can state the problem into a mathematical model. Therefore, this research can be used as a consideration for teachers to familiarize students to find other ways of solving so that students will be skilled in thinking algebra by paying attention to differences in the algebraic thinking abilities of male and female students. In addition, further research needs to be done to examine subjects of moderate or low mathematical ability, to see differences in students' algebraic thinking skills because there may be differences in algebraic thinking skills between male and female students with moderate or low ability.
Junior High School Students' Numeracy in Solving Number Content AKM Problems Based on Mathematical Ability Anjasari, Tika; Rahaju, Endah Budi
MATHEdunesa Vol. 14 No. 1 (2025): Jurnal Mathedunesa Volume 14 Nomor 1 Tahun 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathedunesa.v14n1.p195-212

Abstract

Numeracy is essential for students to utilize their basic mathematical skills optimally and be more critical in receiving and processing information. However, facts in the field show that students still need help understanding the concept of numeracy. This research aims to describe junior high school students' numeracy in solving AKM questions with number content based on mathematical ability. This research uses a qualitative approach with a descriptive research type. For the research subjects, the researchers chose three class VII junior high school students with different levels of mathematical ability (high, medium, low) by paying attention to their communication skills. Researchers used TKM, numeracy tests, and interviews to collect data. The TKM was used as a reference to determine the analyzed research subjects based on the scoring guidelines. The numeracy test and interview results were analyzed using three stages of qualitative data analysis: data condensation, data presentation, and conclusion. The numeracy test results and video-recorded interviews were analyzed by taking important parts by coding them and then presenting them in figures and tables. The results of this study show that students with high mathematical abilities could fulfill the seven basic mathematical abilities in completing the numeracy test. Students with moderate mathematics abilities only fulfilled six basic mathematics abilities in completing the numeracy test. The basic mathematical abilities that cannot be fulfilled were the ability to use language and symbolic operations because students make calculation errors. Then, students with low mathematics ability could only fulfill some numeracy indicators to solve the problem. Students with low mathematical abilities needed help communicating the process of solving writing or orally. Students could not change the context of the mathematical model and did not change the information or equations presented. In completing the numeracy test, students with low mathematical ability could not make patterns and relationships and made calculation errors.
Workshop Mendesain Tugas Berbasis Konteks secara Kolaboratif Rahaju, Endah Budi; Rosyidi, Abdul Haris; Prihartiwi, Nina Rinda
Jurnal ABDINUS : Jurnal Pengabdian Nusantara Vol 9 No 2 (2025): Volume 9 Nomor 2 Tahun 2025
Publisher : Universitas Nusantara PGRI Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29407/ja.v9i2.21479

Abstract

Students need to be equipped with skills to compete globally through context-based learning. Context helps them connect math to the real world, so suitable context-based tasks can strengthen their understanding. However, the tasks designed by prospective teachers often lack of authenticity. In addition, textbooks are still lacking in presenting context-based tasks, while teachers tend to think of them as ordinary word problems. Therefore, teachers need to be given additional insights in designing context-based tasks collaboratively through community service activities for teachers. The teachers actively participated in the workshop and they felt that the workshop materials were useful for classroom learning.
Penalaran Matematis Siswa SMP dalam Memecahkan Masalah Sistem Persamaan Linear Dua Variabel (SPLDV) Ditinjau dari Gaya Belajar Solikha, Nursyahidatin Amrullohis; Rahaju, Endah Budi
MATHEdunesa Vol. 14 No. 2 (2025): Jurnal Mathedunesa Volume 14 Nomor 2 Tahun 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathedunesa.v14n2.p388-409

Abstract

This research aims to describe the mathematical reasoning of junior high school students with visual, auditory, and kinesthetic learning styles in solving SPLDV problems. This research used a qualitative descriptive approach. The subjects of this study were three junior high school ninth-grade students with different learning styles (visual, auditory, and kinesthetic), high equivalent mathematics ability, and the same gender. The results showed that the three students' mathematical reasoning in understanding the problem included explaining the problem in their own words, identifying all known information, stating the sufficiency of information, and representing the problem in mathematical form, accompanied by reasons. Visual students identified all questions, while auditory and kinesthetic students only had most of them, accompanied by reasons. In making plans, all three students compiled strategies involving concepts accompanied by reasons. All three students applied the strategy in implementing the plan and gave reasons at each step. In re-examining, all three students evaluated the correctness of the solution accompanied by reasons, but auditory students did not perform a final check. Kinesthetic students draw conclusions thoroughly, while visual and auditory students only cover part of it, accompanied by reasons. Through this research, teachers can design learning strategies to optimize students' mathematical reasoning in solving SPLDV problems.
Prospective teachers’ design of numeracy tasks using a physical distancing context Kohar, Ahmad Wachidul; Rahaju, Endah Budi; Rohim, Abdur
Journal on Mathematics Education Vol. 13 No. 2 (2022): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v13i2.pp191-210

Abstract

Physical distancing, which is widely practiced limiting the spread of COVID-19, is recognized to contain mathematical thoughts that can be harnessed as a context for prospective teachers’ practices of mathematical problem posing. The goal of this study is to investigate the profile of mathematical tasks posed by prospective mathematics teachers using the context of physical distancing that meets the criteria of numeracy tasks. Data were collected from 66 mathematical tasks posed by thirty-three prospective teachers at a public university in Surabaya, Indonesia, attending an assessment course of numeracy based on a problem-posing task. To analyze, the posed tasks were first identified as solvable or unsolvable tasks and then further categorized into the domains of the level of context use and the level of cognitive processes. Results show that the level of context use embedded in the posed tasks varies from zero to first order, with only a few of the posed tasks being coded as having second-order context. Regarding the levels of cognitive processes, most of the posed tasks reach the level of understanding, with only a small number of reasoning tasks identified. Interestingly, all the tasks coded to contain second-order context are classified as reasoning tasks. Some implications regarding designing numeracy tasks using physical distancing and interventions in teacher education related to numeracy task design are discussed.
Proportional reasoning in the artisan personality type: A case study of high school students in trigonometry ratios Ramlan, Andi Mariani; Budayasa, I Ketut; Rahaju, Endah Budi
Journal on Mathematics Education Vol. 16 No. 1 (2025): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v16i1.pp73-90

Abstract

Proportional reasoning is a critical component of mathematical competence that should be developed at the senior high school level, as it fosters both foundational and advanced mathematical understanding. Educators frequently encounter variations in proportional reasoning abilities among students, often influenced by individual personality types. However, limited research has specifically investigated the proportional reasoning capabilities of high school students with artisan personality types. This study aims to examine the strategies and approaches utilized by students with Artisan Personality Types (APT) in solving trigonometric comparison problems. Employing a qualitative descriptive methodology within a case study design, the research focused on high school students identified as having APT. Data were collected using proportional reasoning tasks, the Keirsey Personality Type Questionnaire, and structured interviews. The analysis was conducted qualitatively, with findings categorized based on established indicators of proportional reasoning. Results indicate that APT students demonstrate the ability to address proportional reasoning problems related to covariation, ratios, and proportions, employing distinct strategies and logical reasoning. Nevertheless, instances of both correct and incorrect responses were observed, often stemming from misinterpretations of the problem context. These findings provide valuable insights for future studies aimed at designing targeted instructional strategies and developing learning tools to enhance the proportional reasoning skills of students with APT.
Perancangan Pembelajaran Pengajuan dan Pemecahan Masalah Matematika Bagi Guru SMP Kabupaten Magetan Siswono, Tatag Yuli Eko; Rahaju, Endah Budi; Ismail, Ismail; Hartono, Sugi; Indarasati, Nanda Ayu
Aksiologiya: Jurnal Pengabdian Kepada Masyarakat Vol 6 No 4 (2022): November
Publisher : Universitas Muhammadiyah Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30651/aks.v6i4.6619

Abstract

Pengajuan dan pemecahan masalah merupakan pemicu keterampilan berpikir kritis maupun berpikir kreatif yang sesuai dengan tujuan kurikulum saat ini.  Kedua konsep tersebut perlu diimplementasikan dalam pembelajaran, sehingga para guru perlu dibekali keterampilan merancang pembelajaran tersebut sekaligus memahami konsep masalah, pemecahan dan pengajuan masalah. Untuk mencapai tujuan tersebut, diperlukan program pelatihan guru untuk memantapkan pemahaman guru tentang pemahaman konten dan desain pembelajaran berbasis pengajuan dan pemecahan masalah matematika. Guru yang terlibat adalah 22 guru SMP yang ditugaskan oleh Dinas Pendidikan Kabupaten Magetan. Metode pelaksanaan terdiri dari tahap persiapan dengan melakukan koordinasi dengan mitra dan tim pelatih untuk merancang instrumen dan materi pelatihan. Tahap pelaksanaan terdiri dari kegiatan tatap muka dan kegiatan mandiri dengan diawali pemberian angket untuk analisis awal (pra-tes), pemberian materi pelatihan, praktik penyusunan soal, presentasi, dan kegiatan mandiri merancang perangkat pembelajaran.  Tahap selanjutnya evaluasi dan tindak lanjut dilakukan dengan pemberian angket akhir pelatihan (pasca-tes) dan angket refleksi kegiatan. Hasil pelatihan menunjukkan 81,8% guru mampu memahami konsep dan mendesain pembelajaran berbasis pengajuan dan pemecahan masalah. Hasil evaluasi kegiatan guru menunjukkan 95,45% guru cenderung mengatakan baik dan menyarankan kegiatan perlu ditindaklanjuti.