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All Journal Journal of the Indonesian Mathematical Society Square : Journal of Mathematics and Mathematics Education
Putra, Juanda Kelana
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Education Mathematics

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Analisis Kemampuan Koneksi Matematis Mahasiswa dalam Memahami Konsep Dimensi Tiga di STKIP Getsempena Putra, Juanda Kelana; Fajri, Nurul
Square : Journal of Mathematics and Mathematics Education Vol 2, No 1 (2020)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2020.2.1.5208

Abstract

Pada pembelajaran matematika, kemampuan koneksi matematis menjadi salah satu aspek yang harus diperhatikan. Penelitian ini bertujuan untuk mendeskripsikan dan menganalisa Kemampuan Koneksi Mahasiswa Pendidikan Matematika STKIP Bina Bangsa Getsempena Banda Aceh dalam memahami konsep Dimensi Tiga pada mata kuliah Geometri Ruang. Pengumpulan data dilakukan dengan menggunakan soal tes koneksi matematis, studi dokumentasi dan wawancara. Hasil penelitian ini adalah: 1) tingkat kemampuan koneksi matematis mahasiswa pendidikan matematika masih tergolong rendah; 2) kesulitan masalah koneksi matematis yang dihadapi mahasiswa pendidikan matematika umumnya adalah kesulitan dalam menyelesaikan soal koneksi yang berhubungan antar topik matematika, khususnya konsep Phytagoras, konsep perbandingan trigonometri, konsep segitiga, konsep operasi pecahan dan konsep akar.Kata kunci: kemampuan koneksi matematis, dimensi tiga.
On Generalized Bourbaki Theorem in the Category (S,Q)-Cat Putra, Juanda Kelana
Journal of the Indonesian Mathematical Society Vol. 31 No. 4 (2025): DECEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i4.1959

Abstract

Bourbaki developed the concept of a proper map in topological spaces and proved that a continuous map between topological spaces is proper if and only if it is perfect, known as Bourbaki theorem. Clementino and Tholen extended this concept to lax algebras, formulating a generalized Bourbaki theorem applicable to a special type of category called a $(\S,\Q)$-category. Their theorem states that, under certain conditions, a $(\S,\Q)$-functor is proper if and only if both pullbacks of the functor are closed and a specific transformation is closed. They also provide an equivalent characterization using compactness of fibers. Clementino and Tholen then posed a question: If we slightly modify the conditions in their generalized theorem, do the equivalences still hold? This paper aims to answer this question, investigating the impact of these modifications on the relationship between properness and closure properties.
Co-Authors Nurul Fajri