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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi MUST: Journal of Mathematics Education, Science and Technology Jurnal Tadris Matematika Lattice Journal : Journal of Mathematics Education and Applied Jurnal Tadris Matematika
Nurul Laili
Universitas Negeri Surabaya
Computer Science & IT Education Mathematics

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Thinking Process of Secondary Level Students in Constructing Proof by Mathematical Induction in Terms of Their Attitude toward Mathematics Nurul Laili; Tatag Yuli Eko Siswono
Jurnal Tadris Matematika Vol 4 No 1 (2021)
Publisher : Institut Agama Islam Negeri (IAIN) Tulungagung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21274/jtm.2021.4.1.121-138

Abstract

This research aims to describe secondary-level students' thinking processes in terms of their attitude toward mathematics in constructing proof by mathematical induction. This qualitative research involved two students who were selected from 30 students of second grade of senior high school that categorized into two groups, namely the students who have a positive and negative attitude toward mathematics by using Attitude Toward Mathematics Inventory (ATMI) questionnaire. One student from each category was selected to be given a proving test and interviewed. Students’ process of proving test and interview recording were collected and analyzed to identify their thinking process. This research points out that both students who have positive and negative attitudes towards mathematics can recall the information in their memory regarding the characteristics and steps to prove using mathematical induction. However, the student who has negative attitudes towards mathematics tends to experience some difficulties in processing information, especially in the induction step, caused by panic, depression, and insecurity. The student who has a positive attitude towards mathematics also experiences some difficulties in the proving process, namely understanding what to prove and compiling the induction steps. However, she keeps trying and believes that she would be able to solve it. Hence, she can solve the proof completely.
Giving Questions as Scaffolding to Help Student in Constructing Proof Nurul Laili; Tatag Yuli Eko Siswono
MUST: Journal of Mathematics Education, Science and Technology Vol 5, No 2 (2020): DECEMBER
Publisher : Universitas Muhammadiyah Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30651/must.v5i2.5882

Abstract

This research deals with the challenge of helping student who has difficulty in constructing trigonometry proof. This qualitative research that describing scaffolding process using questions involves 20 students in second grade of senior high school, then selects a student from the 11 students who cannot solve the proof completely. Student’s work on proving test and interview recording are collected and analysed data to identify student’s difficulty, type of scaffolding to help, and development produced. This research points out the difficulty student faces are: difficulty in devising strategy, stuck in the process, unable to find the next step, and unable to find relation between two terms. Scaffoldings given are: asking the characteristic of what to be proven, asking a concept that may be used, directive question, facilitative utterance, trans active prompt and bridging analogy. Furthermore, developments produced from scaffolding given are: student can purpose new idea and strategy, can find relation between two things or two concepts, and student can determine and use appropriate concept.
Thinking Process of Secondary Level Students in Constructing Proof by Mathematical Induction in Terms of Their Attitude toward Mathematics Nurul Laili; Tatag Yuli Eko Siswono
Jurnal Tadris Matematika Vol 4 No 1 (2021)
Publisher : Universitas Islam Negeri Sayyid Ali Rahmatullah Tulungagung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21274/jtm.2021.4.1.121-138

Abstract

This research aims to describe secondary-level students' thinking processes in terms of their attitude toward mathematics in constructing proof by mathematical induction. This qualitative research involved two students who were selected from 30 students of second grade of senior high school that categorized into two groups, namely the students who have a positive and negative attitude toward mathematics by using Attitude Toward Mathematics Inventory (ATMI) questionnaire. One student from each category was selected to be given a proving test and interviewed. Students’ process of proving test and interview recording were collected and analyzed to identify their thinking process. This research points out that both students who have positive and negative attitudes towards mathematics can recall the information in their memory regarding the characteristics and steps to prove using mathematical induction. However, the student who has negative attitudes towards mathematics tends to experience some difficulties in processing information, especially in the induction step, caused by panic, depression, and insecurity. The student who has a positive attitude towards mathematics also experiences some difficulties in the proving process, namely understanding what to prove and compiling the induction steps. However, she keeps trying and believes that she would be able to solve it. Hence, she can solve the proof completely.
Design of Fuzzy Logic Controller Based on Gustafson-Kessel Clustering for Quadcopter Altitude Control Belgis Ainatul Iza; Heri Purnawan; Moh. Khoridatul Huda; Nurul Laili
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 11, No 1 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v11i1.41543

Abstract

Quadcopter altitude control is a critical issue in unmanned aerial vehicle systems due to its nonlinear dynamics and impact on operating conditions. Various fuzzy logic-based approaches have been used to address these nonlinear characteristics. However, in many previous studies, the rule structure and membership function were determined heuristically or based on expert knowledge, resulting in a less systematic design process that did not fully represent the distribution of system dynamics data.This study proposes a data-driven fuzzy control approach using the Gustafson–Kessel clustering algorithm to automatically generate fuzzy rules from system data. This algorithm is used to identify an ellipsoidal cluster structure in the input space formed by the error variable (e) and the error change (Delta e). The cluster center parameters are used to construct Gaussian membership functions and a rule base for the fuzzy inference system that generates control signals for the quadcopter's vertical dynamics.Evaluation is conducted through quadcopter altitude control simulations using several error metrics. The simulation results show Integral Squared Error value of 0.363789, Integral Absolute Error of 0.554409, Root Mean Square Error of 0.190637, and Mean Absolute Error of 0.055386, with a maximum error of 0.999600 in the beginning of the system response.
The Effect of Mathematical Problem-Solving on Mathematical Literacy and Its Implications for Islamic Financial Literacy Muniri; Wahyu Dwi Warsitasari; Nurul Laili; Savera Eka Ardita
Lattice Journal : Journal of Mathematics Education and Applied Vol. 6 No. 1 (2026): Juni 2026
Publisher : Universitas Islam Negeri Sjech M. Djamil Djambek Bukittinggi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30983/lattice.v6i1.11225

Abstract

The impact of mathematical problem-solving skills on mathematical literacy and its consequences for Islamic financial literacy among undergraduate students enrolled in Islamic Economics programs in East Java, Indonesia, are examined in this study. 385 students from three Islamic institutions were surveyed as part of a quantitative method employing multistage sampling. Partial Least Squares Structural Equation Modelling (PLS-SEM) was used to analyze the data. The findings demonstrate that whereas mathematics literacy strongly impacts Islamic financial literacy, problem-solving skills have a considerable beneficial impact on mathematical literacy. However, problem-solving ability does not have a direct or indirect significant effect on Islamic financial literacy. These findings indicate that mathematical literacy acts as a key cognitive bridge, although its role in Islamic financial literacy remains limited without contextual integration of financial knowledge. The model demonstrates stronger explanatory power for mathematical literacy compared to Islamic financial literacy, suggesting the presence of additional unobserved factors influencing financial literacy outcomes. The study concludes that Islamic financial literacy is not solely determined by mathematical competence but requires contextualized learning that integrates mathematical reasoning with Islamic financial concepts and financial behavioral exposure.
Co-Authors Heri Purnawan Iza, Belgis Ainatul Moh. Khoridatul Huda Muniri Savera Eka Ardita Tatag Yuli Eko Siswono Wahyu Dwi Warsitasari