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Investigating teachers’ mathematics pedagogical content knowledge on ratio and proportion: Does it exist in teaching? Rooselyna Ekawati; Fou-Lai Lin; Ahmad Wachidul Kohar
Jurnal Cakrawala Pendidikan Vol 41, No 3 (2022): Cakrawala Pendidikan (October 2022)
Publisher : LPMPP Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/cp.v41i3.39457

Abstract

There is a widespread agreement that Mathematics Pedagogical Content Knowledge (MPCK) become one of the key resources for teaching mathematics effectively. This qualitative research investigates the existence of primary teachers’ MPCK in mathematics teaching practice on ratio and proportion. Data were collected from the recorded videos of teaching observations of three primary teachers with different levels of Mathematics Content Knowledge (MCK) and MPCK selected from a paper and pencil test. A video observation instrument considering the MPCK factors’ framework for teaching ratio and proportion was used to explore the existence of MPCK in the teachers’ teaching practices. Data were analyzed by employing a whole-to-part approach of video-based data on three components of the teachers’ teaching practices on ratio and proportion, i.e., task level feature, the teaching of problem-solving strategies, and knowledge of students’ conceptual understanding. Results indicate that all the components of teachers’ MPCK can be observed in teaching practice appropriately or inappropriately due to teachers’ different levels of MPCK (Good, Medium, and Low). All MPCK factors were activated by the good teacher in her teaching appropriately differs from Medium and Low teachers. The Medium teacher needs more opportunities to learn about ratio and proportion task level features. The evidence leads to the opportunity to design a learning trajectory for In-service primary teachers that consider the integration of MPCK and MCK in balance.
Pendampingan Pengembangan Realistic Mathematics-Project Based Learning untuk Menyongsong Kurikulum Merdeka bagi Guru SMP Trenggalek Shofan Fiangga; Nina Rinda Prihartiwi; Ahmad Wachidul Kohar; Evangelista Lus Windyana Palupi; Susanah Susanah
Jurnal Anugerah Vol 4 No 2 (2022): Jurnal Anugerah: Jurnal Pengabdian kepada Masyarakat Bidang Keguruan dan Ilmu Pen
Publisher : Universitas Maritim Raja Ali Haji

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31629/anugerah.v4i2.4967

Abstract

Kurikulum Merdeka merupakan kurikulum berbasis kompetensi yang menerapkan pembelajaran berbasis proyek (Project Based Learning - PjBL) untuk mendukung pengembangan karakter sesuai dengan Profil Pelajar Pancasila. Pembelajaran berbasis Proyek (PjBL) menjadi fokus utama pada Kurikulum Merdeka. Dalam Kurikulum Merdeka, sekolah diberikan keleluasaan dan kemerdekaan untuk memberikan proyek-proyek pembelajaran yang relevan dan dekat dengan lingkungan sekolah. Salah satu inovasi pembelajaran yang bisa dikembangkan adalah pendekatan Matematika Realistik (Realistic Mathematics - RM). RM sebagai suatu pendekatan mampu membuat PjBL menjadi pembelajaran yang efektif terutama dalam peningkatan kemampuan numerasi. Kenyataannya, masih banyak guru yang kesulitan dalam berinovasi dan mengembangkan PjBL. Pelatihan kali ini bertujuan untuk meningkatkan kualitas pembelajaran guru yang terkait pengembangan pembelajaran RM-PjBL. Workshop ini dilakukan dalam luring dan daring asynchronous. Pada kegiatan luring dilaksanakan dalam bentuk workshop pendampingan penyusunan pembelajaran berbasis RM-PjBL. Kemudian, kegiatan dilanjutkan daring asynchronous melalui google classroom mengembangakn LKPD berbasis RM-PjBL didampingi oleh instruktur. LKPD yang sudah disusun oleh peserta, akan dievaluasi dan dianalisis berdasarkan instrumen analisis LKPD berbasis RM-PjBL. Selain itu, peserta mengisi angket respon untuk mengetahui efektifitas dan keberhasilan workshop ini. Di akhir pelatihan, guru-guru mampu mendesain pembelajaran berbasis RME-PjBL sesuai kriteria yang diberikan dan memberikan respon positif terkait pelaksanaan workshop.
Workshop Penulisan Artikel Ilmiah Moda Daring Bagi Guru SMA Kota Surabaya Pada Masa Pandemi Covid-19 Binar Kurnia Prahani; Tsuroyya Tsuroyya; Ahmad Wachidul Kohar; Slamet Setiawan
Dedication : Jurnal Pengabdian Masyarakat Vol 4 No 2 (2020)
Publisher : LPPM Universitas PGRI Argopuro Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31537/dedication.v4i2.358

Abstract

Masih banyak guru berpangkat IV/a yang masih mengalami kesulitan untuk kenaikan pangkat berikutnya karena adanya persyaratan menullis karya tulis ilmiah. Para guru kurang pengetahuan dan kemampuan tentang pembuatan karya tulis ilmiah. Diperkuat adanya tantangan dan masalah yang dihadapi oleh guru terkait berlakunya Peraturan Menteri Negara Pendayagunaan Aparatur Negara dan Reformasi Birokrasi Nomor 16 Tahun 2009 tentang Jabatan Fungsional Guru dan Angka Kreditnya, yang mencantumkan syarat jika naik pangkat harus memiliki publikasi ilmiah. Masalah ini juga berdampak pada Guru SMA di Kota Surabaya yang masih banyak terhambat kenaikan pangkatnya karena tidak bisa menulis artikel di jurnal ilmiah. Kota Surabaya mulai menerapkan pembatasan sosial berskala besar (PSBB). Ini juga berdampak pada pelatihan atau workshop tidak bisa diadakan secara face-to-face. Hal tersebut telah menjadi masalah serius dan perlu alternatif solusi agar kualitas guru SMA di kota Surabaya tidak mengalami penurunan, khususnya keterampilan menulis artikel di jurnal nasional. Oleh karena itu, Gugus Kerjasama, Publikasi, dan Internasionalisai (KPI) Pascasarjana Univeristas Negeri Surabaya (Unesa) memberikan kontribusi positif dan nyata kepada guru SMA di kota Surabaya melalui Kegiatan Workshop Penulisan Artikel Ilmiah Moda Daring Pada Masa Pandemi Covid-19. Kegiatan ini terbukti dapat meningkatkan kualitas dari keterampilan menulis artikel ilmiah.
Student’s Numeracy on Solving Data and Uncertainty Problems in Term of Self-Efficacy Thoiffatul Khusnun Nisa'; Rooselyna Ekawati; Ahmad Wachidul Kohar
MATHEdunesa Vol 12 No 1 (2023): Jurnal Mathedunesa Volume 12 Nomor 1 Tahun 2023
Publisher : Program Studi S1 Matematika UNESA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathedunesa.v12n1.p240-258

Abstract

Numeraticy is the ability to analyze, interpret information, and find a solution by involving one's mathematical knowledge. Numeracy is known to be influenced by self-efficacy. This study aims to describe students' numeracy in solving data and uncertainty problems in terms of high and low self-efficacy. This study is descriptive research with a qualitative approach was carried out by collecting data from research subjects purposively consisting of three students with high self-efficacy and three students with low self-efficacy. The instruments used included a self-efficacy questionnaire, three data and uncertainty questions, and an interview guide. The data is then analyzed using the numeracy’s sub-indicators. The results showed that in general the numeracy of the group of students with high self-efficacy in solving questions containing data problems and uncertainties was better than the group of students with low self-efficacy. Based on these significant differences, it is recommended for teachers to create a learning climate that can support increased student self-efficacy and numeracy. As well as from the results of the interviews which only focused on parts that were not clear from the student's answers, future researchers should conduct interviews on all of the student’s numeracy in order to obtain more complete research data.
Mathematics teacher educators’ noticing of pedagogical content knowledge on hierarchical classification of quadrilateral Rooselyna Ekawati; Ahmad Wachidul Kohar; Tatag Yuli Eko Siswono; Agung Lukito; Kai-Lin Yang; Khoirun Nisa
Jurnal Infinity Vol 12 No 2 (2023): VOLUME 12, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v12i2.p261-274

Abstract

This study aims to investigate mathematics teacher educators’ (MTE) knowledge in noticing preservice teachers’ pedagogical content knowledge (PCK) on the hierarchical classification of the quadrilateral. A multiple case study was conducted to analyze the responses of ten MTEs in an online moderated-forum group discussion (M-FGD) from their written work on the MTE-PCK test completed prior to the M-FGD. The PCK test consisted of two tasks: the task that examines MTEs’ knowledge to predict pre-service teachers’ reason in representing the hierarchical classification of quadrilateral in Venn diagrams, and the task that examines MTEs’ knowledge in making a flowchart as a recommendation to mathematics teacher to analyze the validity of quadrilateral classification. Results show that the MTEs indicate two considerations of noticing pre-service teachers’ PCK on the quadrilateral classification: by definition and properties of quadrilaterals and by the visual appearance of quadrilaterals. Despite this, 20% of them were indicated to perform a lack of understanding of the hierarchical classification of quadrilaterals, as indicated by invalid flowcharts of validating the hierarchical classification of the quadrilateral.
Critical Thinking Ability of Students with Rational Personality in Solving Higher Order Thinking Skills (HOTS) Problems Wahyu Wijaya, Muhammad Avicenna; Yanto, Arfan Dwi; Kohar, Ahmad Wachidul
Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika Vol. 7 No. 1 (2023): JRPIPM SEPTEMBER 2023
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jrpipm.v7n1.p51-66

Abstract

Tujuan penelitian ini adalah untuk mendeskripsikan kemampuan berpikir kritis siswa berkepribadian rasional dalam memecahkan soal HOTS. Penelitian ini adalah penelitian deskriptif kualitatif yang melibatkan dua siswa kelas X di sebuah SMA di kabupaten Mojokerto yang memiliki kepribadian rasional. Teknik pengumpulan data dilakukan dengan pemberian angket penggolongan kepribadian, Tes Kemampuan Berpikir Kritis SMA (TKBKS) dan pedoman wawancara. Analisis data berdasarkan indikator berpikir kritis (interpretasi, analisis, evaluasi, inferensi, eksplanasi dan regulasi diri). Dari hasil analisis data, berpikir kritis aspek interpretasi menunjukkan bahwa siswa berkepribadian rasional dapat memahami masalah dalam soal dan menuliskan apa yang diketahui dan ditanyakan pada masing masing soal. Siswa juga dapat memodelkan masalah ke dalam model matematika. Begitu pula pada aspek analisis, siswa berkepribadian rasional mampu menentukan informasi yang penting, tepat dalam memilih metode penyelesaian, dan melakukan perhitungan yang tepat pada soal kategori tinggi dan rendah. Namun kedua siswa tersebut melakukan kesalahan langkah dan kesalahan hitung ketika menyelesaikan soal kategori sedang. Pada aspek evaluasi, siswa dengan kepribadian rasional dapat menggunakan metode lain dalam menyelesaikan soal. Pada aspek inferensi, siswa berkepribadian rasional mampu menjelaskan kesimpulan dari jawaban yang didapat. Hasil yang sama ditunjukkan pada aspek eksplanasi, siswa berkepribadian rasional mampu menuliskan hasil akhir dengan benar dan tepat dan memberikan alasan setiap langkah yang dituliskan. Pada aspek regulasi diri, siswa berkepribadian rasional selalu mengecek hasil akhir yang didapat pada masing masing soal.
The Exploration of Geometrical Concept in Batik Pamekasan Septiadi, Dimas Danar; Kohar, Ahmad Wachidul; Sholehein, Akmalus; Zayyadi, Moh.; Basri, Hasan
Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika Vol. 7 No. 1 (2023): JRPIPM SEPTEMBER 2023
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jrpipm.v7n1.p38-50

Abstract

Indirectly, mathematical themes can be found throughout Indonesia's unique culture, one of which is mathematics in batik cultural items. Exploring ethnomathematics will be really beneficial. Apart from acquiring the concept of mathematics in Indonesian culture, it can also sharpen Indonesian culture's sense of love for the nation. The purpose of this study is to describe the philosophical meaning of the geometrical concepts contained in Pamekasan batik, the geometrical concepts contained in Pamekasan batik, and the implementation of Batik pamekasan as the context in learning geometry. This is ethnomathematics study which gather the data by observation and interview. The interview held two regions in Pamekasan with four informants. As a result, scholars aim to conduct an ethnomathematics examination of traditional Pamekasan batik. This research shows that aside from the Batik itself, the mathematical objects found in Batik each have their own meaning and hopes. As a result, mathematical motifs such as the point that depicts a rice or maize seed have philosophical significance. Meanwhile, reflection reveals that human life requires balance. Each mathematical object in the pattern has its own meaning. Meanwhile, geometrical objects in Batik Pamekasan are two-dimensional figures such as circles, rectangles, squares, lines, points, angles, and curves. In addition, transformative geometry like as rotation, reflection, and translation exist in Batik Pamekasan. Besides, batik pamekasan can be used as the context in learning geometry. This can be seen from the learning outcomes that was written in Merdeka curriculum. Moreover, problem-based learning and project-based learning are two models that support ethnomathematics-based learning.
Comparing Students' Problem-Solving Processes on Probability Tasks: Well-Structured and Ill-Structured Tasks Auni, Anggita; Kohar, Ahmad Wachidul
Journal of Mathematical Pedagogy (JoMP) Vol. 4 No. 2: July 2023
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jomp.v4n2.p57-73

Abstract

This study aims to describe the differences in the problem-solving abilities of well-structured problems and ill-structured problems models related to the concept of opportunity for Grade VIII junior high school students. Two students with the same mathematical abilities were selected to be subjects according to our research objectives. The results show that the two samples find it more difficult to solve well-structured problems than ill-structured problems. When at the stage of understanding the problem students need to read the questions repeatedly and when asked to retell the students can't do it well. In the questions of the type of well-structured problems subject 1 can only mention what is asked, but it is not appropriate to state the conditions needed to solve the problem and in subject 2 it is found otherwise, while in ill-structured problems it is not appropriate to write down what is known but write down what is asked with precise and knowing the requirements to solve the problem. Subject 1 uses logical and logical reasoning strategies. Then, subject 2 uses a trial and error strategy with logical reasoning. The two subjects carried out problem solving according to plan, carried out the re-checking stage, and were able to find solutions to problems that did not require calculations in them but could not find solutions to problems that contained calculations and had to be solved by utilizing the probability theorem. These results can be used as an evaluation in the learning process or a reference for further research.
How does Math Anxiety affect Students’ Problem Solving Ability? A case of Ill Structured Problem Mathematics Problem Anjasari, Tika; Antika, Helen Novi; Kohar, Ahmad Wachidul
Journal of Mathematical Pedagogy (JoMP) Vol. 3 No. 2: July 2022
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jomp.v3n2.p98-113

Abstract

The process of learning mathematics for some students can cause anxiety. The anxiety experienced by students can interfere with the mathematics learning process, especially in students' ability to solve mathematical problems. This study is qualitative descriptive research that aims to analyze problem-solving abilities in terms of mathematical anxiety. Researchers tested the ability to solve problems ill-structured on six grade VIII students of SMPN 1 Kemlagi in Mojokerto. The six students consisted of two students with high math anxiety, two students with moderate math anxiety, and two students with low math anxiety. The results of data analysis showed ill-structured problem-solving abilities (1) students with low and moderate anxiety levels were able to reach the stage of understanding problems, making plans, and re-examining very well; (2) students with low levels of mathematical anxiety have reached the stage of executing the plan very well, while students with moderate levels of mathematical anxiety have not reached this stage because there are still errors in making calculations; (3) students with high levels of math anxiety have not been able to reach all stages of problem-solving. This study suggests that teachers pay more attention that math anxiety as one of the factors that must be considered in mathematics learning
Students’ Creativity in Solving Ill Structured Problem Context Calorie Intake Antika, Helen Novi; Anjasari, Tika; Kohar, Ahmad Wachidul
Journal of Mathematical Pedagogy (JoMP) Vol. 4 No. 1: December 2022
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jomp.v4n1.p42-56

Abstract

In math learning, creative thinking is very important because it allows broad thinking to find new solutions to problems. This study aims to describe the level of students' creative thinking in solving ill-structured problems in the context of calorie intake. This type of research was descriptive with a qualitative approach. Researchers chose three students in class VIII with different mathematical abilities (high, medium, and low) based on their value as research subjects. To collect data, researchers used ill-structured problem tests and interviews. The data were analyzed based on the level of students' creative thinking and follow-up interviews. The results showed that in aspect fluency, S1 and S2 could give two correct answers, while S3 only gave one correct answer. Aspects of flexibility: S1 and S2 can provide alternative answers using different mathematical concepts, while S3 only provides one way of providing alternative answers. Aspects of originality: S1 can provide two unique solutions, while S2 and S3 produce ordinary solutions. Based on this, S1 is included in level 4 (very creative), S2 is included in level 3 (creative), and S3 is included in level 0 (not creative). Based on the results of this study, designed learning must stimulate students' creative thinking abilities, such as by providing problem-solving questions that allow students to solve them with various strategies.