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Proof has a role in the formation and development of mathematics in the history of mathematics. The ability to construct proof is one indicator of mathematical reasoning which is an important component of mathematics learning outcomes, especially in Algebra. This qualitative research aims to describe the design process of the Hypothetical Learning Trajectory for Proof Logic Topics. This research is based on design research. This research consists of three stages: preparing for the experiment, the design experiment, and the retrospective analysis. Data collection techniques in this research are walkthrough and interview. The walkthrough and interview were conducted in the first stage of design research (preparing the experiment) with two activities: expert review and reader proof to collect materials to revise the HLT. Four experts participated in the expert review. The experts are chosen based on the experience, both research experience, and teaching experience. The result of this research is the design of HLT for proof logic topics consist of four activities: reading proof, completing proof, examining proof, and Constructing proof. The four activities were well-done on the design experiment stage.

Penelitian ini bertujuan untuk mendeskripsikan kemampuan pemecahan masalah siswa kelas VII MTs Negeri 3 Kota Jambi dalam menyelesaikan soal terbuka (open ended problem) berbasis budaya Jambi pada materi pecahan. Penelitian ini adalah penelitian deskriptif kualitatif. Penelitian dilaksanakan di MTs Negeri 3 Kota Jambi. Subjek penelitian adalah 6 siswa kelas VII MTs Negeri 3 Kota Jambi. Subjek penelitian terdiri dari 2 siswa dengan kemampuan tinggi, 2 siswa dengan kemampuan sedang dan 2 siswa dengan kemampuan rendah. Instrumen yang digunakan adalah tes dan wawancara. Analisis data dilakukan dengan reduksi data, penyajian data dan verifikasi atau kesimpulan. Teknik keabsahan data dilakukan dengan triangulasi sumber data. Hasil penelitian menunjukkan bahwa kemampuan pemecahan masalah (KPM) matematis siswa dalam menyelesaikan soal open ended berbasis budaya Jambi pada siswa kemampuan sedang dan tinggi tergolong pada kategori baik. Sedangkan untuk siswa kemampuan rendah berada pada kategori kurang sehingga siswa pada kemampuan rendah masih perlu bimbingan. Temuan penelitian menunjukkan bahwa penelitan berbasis budaya dalam penelitian ini menjadi sebuah metode baru yang mendekatkan siswa kepada pengetahuan serta menjadikan mereka mampu mentransformasikan hasil jawaban ke dalam bentuk dan prinsip yang kreatif tentang bidang ilmu.Kata kunci : Budaya Jambi; kemampuan pemecahan masalah; pecahan; soal open ended.

This paper will be presented to explain the velocity profile of viscous fluids at non-stagnation points when the fluid passes through a sliced sphere contains magnet. The design of this study was an experiment using computer simulations based on mathematical models built. Mathematical models and coordinate systems are built based on physical phenomena and are composed of continuity equations and momentum equations. The model was converted to a non-dimensional model and solved by the Keller Box numerical method. Numerical simulations are carried out by varying the incision angle and looking at the fluid velocity profile that occurs. The simulation results show that if magnetic parameter is not included then the velocity will be different at each point, the greater the observation angle the greater the velocity. If magnetic parameter is included then the velocity will tend to be the same. If an observation angle hold on any value then the greater the magnetic parameter the greater the velocity.

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