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All Journal Jurnal Pendidikan Matematika dan Integrasinya Jurnal PEKA (Pendidikan Matematika) Journal of Mathematical Pedagogy (JOMP)
Zahri, Mohammad
Program Studi Pendidikan Matematika STKIP Al Hikmah
Education Mathematics Social Sciences Other

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Analisis Alasan Matematis Siswa dalam Membuktikan Teorema Pythagoras Ditinjau dari Kemampuan Matematika Siswa Pratama, Orthio Rizki; Zahri, Mohammad
Jurnal Pendidikan Matematika dan Integrasinya Vol 1 No 02 (2018): Jurnal Pi: Pendidikan Matematika dan Integrasinya
Publisher : Program Studi Pendidikan Matematika STKIP Al Hikmah

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Abstract

Beberapa tujuan pembelajaran matematika adalah memiliki kemampuan untuk berkomunikasi, memberikan alasan, dan membuktikan konsep matematika. Kemampuan berkomunikasi menjadi hal yang penting dalam pembelajaran matematika karena berperan dalam penyampaian ide atau konsep matematis secara tepat dan jelas. Kemampuan memberikan alasan matematis secara tertulis dan lisan adalah bagian dari komunikasi matematika. Tujuan penelitian ini adalah untuk menganalisa kemampuan siswa yang memiliki kemampuan matematika tinggi dan rendah dalam memberikan alasan matematis pada pembuktian teorema Pythagoras. Metode yang digunakan adalah deskriptif dengan pendekatan kualitatif yang menganalisis langkah-langkah pembuktian yang disertai alasan matematis, baik secara tertulis maupun lisan. Hasil penelitian ini menunjukkan bahwa siswa yang memiliki kemampuan matematika tinggi memiliki kemampuan memberikan alasan matematis lebih baik, tepat dan jelas dibanding siswa yang memiliki kemampuan matematika rendah. Selain itu, kemampuan siswa dalam memberikan alasan matematis secara tertulis lebih baik dibandingkan secara lisan. Hal tersebut terlihat dari sistematika langkah pem- buktian yang tepat dan banyaknya alasan matematis yang diberikan. Pada pembuktian lisan, siswa melakukan kesalahan prosedur dalam penjabaran dan penyederhanaan bentuk matematika. 
Profile of Collaborative Problem Solving among XI Grade Students in Solving Financial Mathematics Problems Hikmah, Nur Hidayatul; Siswono, Tatag Yuli Eko; Zahri, Mohammad
Journal of Mathematical Pedagogy (JoMP) Vol. 2 No. 2: July 2021
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jomp.v2n2.p82-91

Abstract

The aim of this research is to describe CPS profile of XI grade students in solving financial mathematics problem. The subject of this research was three pairs of XI grade students which: a pair student consisting of medium-high ability students, a pair student who are both had high ability and a pair student consisting of low-medium ability students. The result showed that a pair student who are both had high ability were able to answer all the question correctly. A pair student consisting of medium-high ability students almost answered all the questions correctly and a pair student consisting of low and medium ability students were unable to answer all the questions correctly. A pair student who are both had high ability and a pair student consisting of medium-high ability students able to design and do problem solving activities well. They also able to work well together when solving the problems. However, a pair student consisting of low-medium ability students unable to design and do the problem solving activities well. They also unable to work well together when solving the problem and tend to work individually. It can be said that based on collaborative problem solving indicators and problem solving result obtained, collaborative problem solving in a pair student who are both had high ability much better than othes.
Implementasi Teori Concret-Pictorial-Abstract (CPA) pada Pembelajaran Luas Permukaan Bangun Ruang untuk Pembelajaran Bermakna Furqoni, Azka Nadiya El; Noviartati, Kurnia; Zahri, Mohammad
Jurnal PEKA (Pendidikan Matematika) Vol. 10 No. 1 (2026): Jurnal PEKA (Pendidikan Matematika)
Publisher : Program Studi Pendidikan Matematika Universitas Muhammadiyah Sukabumi (UMMI)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37150/wvhve703

Abstract

Inappropriate teaching methods are one of the reasons students face difficulties in learning geometry. This study was designed to describe the implementation of the CPA theory and student learning outcomes  within the framework of meaningful learning on the topic of surface area of three-dimensional shapes among eighth-grade students at SMP Al Maahira IIBS Malang. The research approach applied was a mixed  methods approach, with a convergent design selected. Data collection was conducted through observations and test results. The research instruments used in this study were observation sheets and test sheets. The results showed that the implementation of the CPA theory in teaching the surface area of three-dimensional shapes for meaningful learning was carried out very well, with an average observation score of 96.15%. Meanwhile, the test results showed that 10 out of 21 students (47.62%) achieved a score meeting the “Excellent” criterion, 9 students (42.86%) met the “Good” criterion within a certain score range, while 2 students (9.52%) obtained a score meeting the “Fair” criterion. Thus, the percentage of students’ learning outcomes in the “Good” and “Very Good” categories was 90.48%. Based on the results of this study, the implementation of the CPA theory—structured through three interrelated stages—demonstrates that students were able to master geometric concepts in a structured manner, beginning with the observation of concrete objects, the creation of visual representations, and culminating in the application of mathematical symbols. Meaningful learning occurs when students discover the differences between real-world objects and the nets of cubes and rectangular prisms; this indicates a process of conceptual understanding through direct experience. This is supported by test results showing that 90.48% of students achieved the “Good” and “Very Good” categories.
Co-Authors Furqoni, Azka Nadiya El Hikmah, Nur Hidayatul Noviartati, Kurnia Pratama, Orthio Rizki Rohim, Mohammad Fatkur Tatag Yuli Eko Siswono