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SUBALJABAR FUZZY DAN IDEAL FUZZY BCK/BCI-ALJABAR DENGAN DERAJAT PADA INTERVAL (0,1] Afurqon, Ayatulloh; Sulaiman, Raden
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 1 (2024)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v12n1.p188-196

Abstract

BCK/BCI-aljabar dan himpunan fuzzy adalah dua disiplin matematika yang berbeda, sehingga menjadi suatu topik unik ketika kedua konsep tersebut digabungkan. Fokus utama dari pembahasan penelitian ini adalah subaljabar fuzzy BCK/BCI-aljabar $P$ dengan derajat pada interval $(0, 1]$ didefinisikan dengan, "Misal $X$ dan $P$ adalah BCK/BCI-aljabar, dengan $P \subseteq X$. Himpunan fuzzy $\tilde{A}$ disebut sebagai subaljabar fuzzy pada $P$ dengan derajat $\lambda$, dengan $\lambda \in (0,1]$, jika dan hanya jika $\forall x, y \in P$, $\mu_{\tilde{A}} (x \ast y) \ge \lambda \min\left\{ \mu_{\tilde{A}}(x), \mu_{\tilde{A}}(y) \right\}$. Dan ideal fuzzy BCK/BCI-aljabar $P$ dengan derajat pada interval $(0, 1]$ didefinisikan dengan, "Misal $X$ dan $P$ adalah BCK/BCI-aljabar, dengan $P \subseteq X$. Himpunan fuzzy $\tilde{A}$ disebut ideal fuzzy pada $P$ dengan derajat $(\lambda, \kappa)$, dengan $\lambda \in (0,1]$ dan $\kappa \in (0,1]$ jika dan hanya jika, $\forall x \in P$, $\mu_{\tilde{A}}(0) \ge \lambda \mu_{\tilde{A}}(x)$, dan $\forall x,y \in P$, $\mu_{\tilde{A}}(x) \ge \kappa \min\left\{\mu_{\tilde{A}}(x \ast y), \mu_{\tilde{A}}(y) \right\}$. Selain itu, dibahas sifat-sifat dan pembuktian dari subaljabar fuzzy dan ideal fuzzy BCK/BCI-aljabar dengan derajat pada interval (0,1].
MATH LADDER SEBAGAI UPAYA MEMBANGUN MOTIVASI BELAJAR MATEMATIKA SISWA DI SMPN 1 JOMBANG Ira Wahyu Wardani; Isti Qomariyah; Raden Sulaiman; Siti Rochmatin
Pendas : Jurnal Ilmiah Pendidikan Dasar Vol. 9 No. 04 (2024): Volume 09, No. 04 Desember 2024
Publisher : Program Studi Pendidikan Guru Sekolah Dasar FKIP Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/jp.v9i4.16993

Abstract

Building motivation learning process is needed, learning motivation is the force individuals to learn knowledge and skills, especially subjects that students consider difficult such as mathematics. Mathematics subject that’s considered as difficult, so motivating students before learning is very useful for building positive representations in students mathematics learning. One way that can be used to build motivation’s with learning media. Math Ladder is learning media that can build students' motivation to learn mathematics. This media combines ladder with mathematics. The writing of this article aims as effort to build motivation learn mathematics students through Math Ladder. It’s expected that Math Ladder can reset thinking students who think mathematics boring and difficult to be more interesting and fun. This research method uses classroom action research. The results of this study state, Math Ladder can be effort in building motivation to learn mathematics in SMPN 1 Jombang.
Adaptive Reasoning, Mathematical Problem Solving and Cognitive Styles Yanti, Aning Wida; Budayasa, I Ketut; Sulaiman, Raden
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.4652

Abstract

The purpose of this research finds a link between adaptive reasoning, mathematical problem solving, and cognitive style. This research is a literature study. This paper showed the relationship between adaptive reasoning, mathematical problem solving, and cognitive styles. In particular, field-independent (FI) and field-dependent (FD) cognitive styles. Adaptive reasoning in mathematical problems is the legitimacy of problem strategies. Whereas the cognitive style provides opportunities for students to give reasonable arguments according to the tendency of the cognitive style. Mathematical problem-solving in the FI and the FD can vary according to students' cognitive styles. It was found that adaptive reasoning, mathematical problems, cognitive styles (FI, FD) have a strong stylistic relationship where adaptive reasoning will be able to give direction to students in solving math problems. Therefore, the basis for researching the adaptive reasoning profile of students in solving mathematical problems in terms of FI and FD cognitive styles is our understanding of the relationship between adaptive reasoning, mathematical problem solving, and cognitive style
Perceived Ease Of Use As An Intervening Factor In Students’ Perceptions Of Learning Outcomes When Completing Assignments Via An AI Chatbot Standsyah, Rahmawati Erma; Sulaiman, Raden; Yunianti, Dwi Nur; Sentosa, Farhan Halim; Parsa, Nabila Agatha
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 4 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v10i4.1043

Abstract

ABSTRACT   The use of AI-based technologies is increasingly widespread among students, particularly to facilitate assignments and understanding of course materials. Inappropriate use by students can have a negative impact on the future of the country. The objective of this research is therefore to examine the extent to which personal and environmental factors influence students' perceptions of learning outcomes when completing homework, considering the perceived ease of use of Chatbot AI as an intervening construct. In accordance with the TAM and UTAUT frameworks, perceived ease of use acts as an intervening variable that links the influence of personal and environmental factors on learning outcomes. A quantitative methodology, based on SEM-PLS, was used, involving 154 students from SMA/SMK in Surabaya and the surrounding areas. Based on gender, female respondents were 77.9% and male respondents were 22.1%. The validity and reliability of the research instrument were tested. The direct relationship between personal and environmental factors on students' perceived learning outcomes was found to be insignificant (p = 0.277), However, however, each factor is individually significant but the mediating effect is weak and insignificant. This means that students' personal and environmental factors alone do not improve their perception of their learning outcomes, as they feel that the results of AI chatbots do not reflect their own understanding. They consider learning successful only when it involves personal effort. However, when these factors influence perceived ease of use, this ease of use becomes the determining factor in how students evaluate their learning process.