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All Journal Kreano, Jurnal Matematika Kreatif-Inovatif Phenomenon : Jurnal Pendidikan MIPA Square : Journal of Mathematics and Mathematics Education
Saminanto, Saminanto
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Chemistry Education Mathematics Physics

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Karakteristik Solusi Dekomposisi QR dalam Aljabar Max-Plus Tersimetri Ikhtiyar, Zakaria Bani; Saminanto, Saminanto; Cahyono, Budi
Square : Journal of Mathematics and Mathematics Education Vol 1, No 2 (2019)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2019.1.2.4135

Abstract

Kajian aljabar max-plus tersimetri hadir dari kondisi bahwa setiap elemen pada ℝ𝑚𝑎𝑥 tidak memiliki invers terhadap operasi max. Aljabar max-plus tersimetri dibentuk dari pasangan berurutan elemen-elemen di ℝ𝑚𝑎𝑥. Pembentukan aljabar max-plus tersimetri ini memunculkan kelas positif, kelas negatif, kelas nol, dan kelas himpunan baru, yakni kelas balance. Penelitian ini berfokus pada pencarian karakteristik solusi dekomposisi QR dalam aljabar max-plus tersimetri dengan beberapa entri matriks awal yang akan didekomposisi merupakan anggota kelas balance. Dekomposisi QR merupakan salah satu dekomposisi matriks, yaitu dekomposisi suatu matriks persegi panjang 𝐴 berukuran m × n menjadi perkalian matriks ortogonal 𝑄 berukuran m × m dengan matriks segitiga atas 𝑅 berukuran m × n. Secara umum, dekomposisi ini dapat digunakan dalam aljabar konvensional. Penelitian ini menjelaskan dekomposisi QR jika dipunyai matriks dengan entri-entri elemen balance di aljabar max-plus tersimetri.
PEMAHAMAN KONSEP MATEMATIS BERDASARKAN MULTIPLE INTELLIGENCES saminanto, saminanto
Phenomenon : Jurnal Pendidikan MIPA Vol 10, No 2 (2020): Jurnal Pendidikan MIPA
Publisher : Sains and Technology Faculty, Walisongo State Islamic University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/phen.2020.10.2.6867

Abstract

Kemampuan pemahaman konsep matematis selama ini masih ditinjau dari kemampuan berfikir secara keseluruhan. Setiap orang memiliki kemampuan berfikir ditinjau dari multiple intelligences. Artikel ini akan menunjukan pemetaan kemampuan pemahaman konsep matematika berdasarkan multiple intelligences sesuai teori Gardner. Metode kualitatif deskriptif digunakan guna mengambil subjek para siswa kelas X MIPA-1 SMA Negeri 1 Kendal. Data diperoleh menggunakan teknik tes dan wawancara. Kemampuan pemahaman konsep matematis siswa Tipe Multiple Intelligences logis matematis lebih unggul dibanding Tipe Multiple Intelligences lain. Hal ini disebabkan karena karakteristik Tipe Multiple Intelligences logis matematis mendukung kemampuannya dalam menyelesaikan masalah yang membutuhkan kemampuan pemahaman konsep matematis. Tipe Multiple Intelligences visual-spasial, kecerdasan kinestetik dan kecerdasan interpersonal memiliki kemampuan pemahaman konsep yang rendah karena karakteristik yang dimiliki ketiga Tipe Multiple Intelligences ini tidak mendukung kemampuannya dalam memecahkan masalah yang membutuhkan pemahaman konsep matematis.
Pengembangan Perangkat Pembelajaran Reflektif Berbasis Unity of Sciences untuk Menciptakan Calon Guru Matematika Profesional Saminanto, Saminanto; Romadiastri, Yulia
Kreano, Jurnal Matematika Kreatif-Inovatif Vol 11, No 2 (2020): Kreano, Jurnal Matematika Kreatif-Inovatif
Publisher : Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Negeri Sema

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v11i2.26583

Abstract

Penelitian ini bertujuan menghasilkan perangkat pembelajaran reflektif kuliah micro teaching Berbasis Unity of Science (UoS) yang valid, praktis, dan efektif untuk menciptakan calon guru matematika profesional. Penelitian pengembangan dengan modivikasi model Plomp menghasilkan perangkat perkuliahan Micro Teaching  reflektif berbasis UoS baik RPS, SAP, bahan ajar dan instrumen penilaian. Uji kevalidan RPS sebesar 3,70, SAP sebesar 3,78, Bahan Ajar 4,00, Instrumen penilaian sebesar 3,83 dengan kriteria baik. Hasil uji kepraktisan RPS sebesar 4,75, SAP sebesar 4,53, Bahan Ajar sebesar 4,78, Instrumen penilaian sebesar 4,61 dengan kriteria sangat baik. Hasil uji keefektifan diperoleh =4,384 dan  =1,671 maka   dengan taraf signifikansi 5% dan dk= 55 dikatakan efektif. Berdasarkan analisis disimpulkan perangkat pembelajaran reflektif kuliah Micro Teaching berbasis UoS valid, praktis, dan efektif menciptakan calon guru matematika profesional.This research aims to produce reflective instuments for micro teaching lecture based on Unity of Science (UoS) that is valid, practical, and effective to get professional mathematics teacher candidates. This development research used a modification of Plomp Model to produce reflective equipments based on UoS that is RPS, SAP, teaching materials and assessment instruments. The results of validty test were RPS 3.71, SAP 3.78, teaching materials 4.00 and assessment instruments 3.83 in good criteria. The results of practically test were RPS 4.75, SAP 4.53, teaching materials 4.78 and assessment instruments 4.61 in very good criteria. The effectivenes is obtained tcount = 4.384 and ttable= 1.671 then tcount > ttable with level significance of 5% and dk = 55, that is to be effective. Based on data, it can be concluded that reflective equipments based on UoS is valid, practical, and effective in producing professional mathematics teacher candidates.
Pengembangan Perangkat Pembelajaran Reflektif Berbasis Unity of Sciences untuk Menciptakan Calon Guru Matematika Profesional Saminanto, Saminanto; Romadiastri, Yulia
Kreano, Jurnal Matematika Kreatif-Inovatif Vol 11, No 2 (2020): Kreano, Jurnal Matematika Kreatif-Inovatif
Publisher : Mathematics Dept, Math. and Science Faculty, Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v11i2.26583

Abstract

Penelitian ini bertujuan menghasilkan perangkat pembelajaran reflektif kuliah micro teaching Berbasis Unity of Science (UoS) yang valid, praktis, dan efektif untuk menciptakan calon guru matematika profesional. Penelitian pengembangan dengan modivikasi model Plomp menghasilkan perangkat perkuliahan Micro Teaching  reflektif berbasis UoS baik RPS, SAP, bahan ajar dan instrumen penilaian. Uji kevalidan RPS sebesar 3,70, SAP sebesar 3,78, Bahan Ajar 4,00, Instrumen penilaian sebesar 3,83 dengan kriteria baik. Hasil uji kepraktisan RPS sebesar 4,75, SAP sebesar 4,53, Bahan Ajar sebesar 4,78, Instrumen penilaian sebesar 4,61 dengan kriteria sangat baik. Hasil uji keefektifan diperoleh =4,384 dan  =1,671 maka   dengan taraf signifikansi 5% dan dk= 55 dikatakan efektif. Berdasarkan analisis disimpulkan perangkat pembelajaran reflektif kuliah Micro Teaching berbasis UoS valid, praktis, dan efektif menciptakan calon guru matematika profesional.This research aims to produce reflective instuments for micro teaching lecture based on Unity of Science (UoS) that is valid, practical, and effective to get professional mathematics teacher candidates. This development research used a modification of Plomp Model to produce reflective equipments based on UoS that is RPS, SAP, teaching materials and assessment instruments. The results of validty test were RPS 3.71, SAP 3.78, teaching materials 4.00 and assessment instruments 3.83 in good criteria. The results of practically test were RPS 4.75, SAP 4.53, teaching materials 4.78 and assessment instruments 4.61 in very good criteria. The effectivenes is obtained tcount = 4.384 and ttable= 1.671 then tcount ttable with level significance of 5% and dk = 55, that is to be effective. Based on data, it can be concluded that reflective equipments based on UoS is valid, practical, and effective in producing professional mathematics teacher candidates.
Proses Penalaran Matematis Siswa SMP dalam Statistika Saminanto, Saminanto; Suwarno, Muji; Septianah, Septianah; Aistafania, Aistafania
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23575

Abstract

Mathematical reasoning is very important for students to master. This research aims to reveal students' mathematical reasoning processes in solving statistical problems. This research used a descriptive qualitative method involving 25 students from class VII-D of SMP Negeri 16 Semarang. The research instrument consists of mathematical problems related to statistics. Data collection was carried out through written tests and interviews. Data were analyzed by data reduction, data presentation, and drawing conclusions. The research results showed that 16% of students had high mathematical reasoning abilities, 72% of students had moderate mathematical reasoning abilities, and 12% of students had low mathematical reasoning abilities. Based on the results of interviews, the mathematical reasoning process of lower group students is hampered by the process of presenting mathematical statements verbally, drawings, sketches or diagrams; make allegations; checking the validity of an argument; and students' lack of understanding of mathematical concepts. The implications of the findings in this research can be used as a reference for developing appropriate learning strategies to overcome students' difficulties in the mathematical reasoning process. Keywords: reasoning process, mathematics, statistics.
Co-Authors Aistafania, Aistafania budi Cahyono Ikhtiyar, Zakaria Bani Muji Suwarno Septianah, Septianah Yulia Romadiastri