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Students’ Empirical Thinking in Solving Mathematics Problems Mohamad Rif’at; Sudiansyah Sudiansyah; Heriyanto Heriyanto; Dian Kurnianto
Budapest International Research and Critics Institute (BIRCI-Journal): Humanities and Social Sciences Vol 5, No 2 (2022): Budapest International Research and Critics Institute May
Publisher : Budapest International Research and Critics University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33258/birci.v5i2.5161

Abstract

The research purpose is to investigate and explore a solution of non-directed of mathematics problems presented visually or algebraic, and to embed the empirical verification thinking. The problems are from Researcher Repertoire, test item of Teacher Profession Education of National Indonesia, and Flanders Mathematics Olympiad. We analyze the students’ empirical verification thinking of their solutions, i.e. the trend of the thinking, model of representation, and completeness of the logical steps. The results are: the pattern of thinking tends to linear model or of meta-pattern, the description tends to be non-linear or varies of the solution, and the logical steps tend to be a non-recognizable form of thinking. Our recommendations are that the more visual representations need multiple representations, the algebraic thinking needs more the visual illustrations, and the visual images needed in solving mathematics problems.
Development of Mathematics Learning Model Concept-Based Understanding Mohamad Rif’at; Sudiansyah Sudiansyah
Budapest International Research and Critics Institute-Journal (BIRCI-Journal) Vol 5, No 3 (2022): Budapest International Research and Critics Institute August
Publisher : Budapest International Research and Critics University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33258/birci.v5i3.6656

Abstract

This research is the development of a mathematical learning model based on conceptual understanding. The main research problem: How to develop students' current understanding which tends to turn from factual and procedural knowledge to conceptual knowledge? The purpose of the research is to build and develop the emergence of students' conceptual knowledge, as well as to identify and analyze the lecturer's conceptual knowledge. Data were collected through direct observation in the classroom while learning was taking place in the Mathematics Education Study Program. Observations in three different classes, namely Algebra Class, Calculus Class, and Geometry Class. The display and class discussion were recorded by the researcher, especially on some of the problems that arose. Then the researcher developed a discussion through conceptual questions, which aimed to build conceptual knowledge and simultaneously develop prior knowledge from educators and students. The data recording mechanism is from the classroom so that in the first stage, researchers get a class model in learning or teaching mathematics. From the initial model, the researcher and the class developed conceptual thinking of the problem or problem solving as a form of testing the validity of the model. Testing is carried out primarily to avoid factual and procedural knowledge. The results of this study are the identification of mathematical knowledge in learning and can be known how to work and the way the class thinks as a whole. Overall, an analysis of the concept-based learning model is generated.
Mengukur Keterampilan Pemecahan Masalah Matematika Siswa Bidang Bisnis dan Manajemen Much Nasyrullah; Mohamad Rif’at; Nurfadilah Siregar
Jurnal Cendekia : Jurnal Pendidikan Matematika Vol 7 No 3 (2023): Jurnal Cendekia: Jurnal Pendidikan Matematika Volume 7 Nomor 3 Tahun 2023
Publisher : Mathematics Education Study Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/cendekia.v7i3.2894

Abstract

Penelitian ini bertujuan untuk mendeskripsikan pengembangan serta pengukuran keterampilan menyelesaikan masalah matematika siswa pada bidang Bismen konsentrasi keahlian akuntansi dan keuangan lembaga. Jenis penelitian ini yaitu penelitian pengembangan dengan model pengembangan Wilson yang melalui 3 tahapan yaitu modifikasi dan perancangan, uji coba, dan implementasi. Subyek penelitian yaitu modifikasi dan perencanaan terdiri 6 orang responden terdiri dari 2 orang ahli materi dan 2 guru matematika dan 2 guru konsentrasi keahlian AKL pada tahapan I, soal instrumen UKK dan analisis validitas, reabilitas, daya pembeda dan indeks kesukaran adalah 31 siswa fase F SMKN 1 Nanga tayap pada tahapan II, dan 33 siswa fase F SMKN 1 Sandai konsentrasi keahlian AKL pada tahapan III. Hasil penelitian yang diperoleh yaitu pada tahap analisis uji dapat disimpulkan bahwa instrumen Uji Kompetensi Keahlian (UKK) dinyatakan valid, reliabel serta layak di gunakan sebagai instrumen pengukuran. Pada tahap III implementasi kepada 33 subjek, siswa pada Fase F SMKN 1 Sandai konsentrasi keahlian AKL di simpulkan 13 siswa atau 39,39% dengan kategori (tinggi atau Kompeten), 12 siswa atau 36,36 % (sedang atau cukup kompeten), 7 siswa atau 21,21% (rendah atau kurang kompeten) dan 1 atau 3,03 % siswa (sangat rendah atau sangat kurang kompeten). Rata – rata nilai subjek laki – laki 71,42 dan perempuan 60,96 lebih tinggi 10,49. Hasil uji normalitas diperoleh Asymp. Sig(2-tailed) 0,633 > 0,05 yang artinya data terdistribusi secara normal. Hasil uji T test Sampel (n) = 33, rata – rata Kompetensi siswa 65,45 standart deviasi 15,123 dan std Error Mean = 2,632. Sig (2-tailled) = 0,000 < 0,05 maka Ho ditolak, artinya instrumen UKK dan hasil pengukuran keterampilan pemecahan masalah matematika Bismen tidak dipengaruhi jenis kelamin (Gender).