The Effect of Mathematical Resilience on the Mathematical Problem-Solving Ability of Students

Abstract

AbstrakPelaksanaan pembelajaran matematika memiliki tujuan utama yaitu memperkuat kemampuan peserta didik dalam memecahkan masalah. Namun, Kemampuan peserta didik dalam memecahkan masalah masih terbilang minim. Untuk mengetahui seberapa baik siswa dapat memecahkan masalah adalah tujuan dari penelitian ini dan mencari tahu efek serta korelasi antara tingkat resiliensi matematis yang dimiliki peserta didik dengan kemampuan mereka dalam pemecahan masalah matematis. Penelitian ini menggunakan metode penelitian kuantitatif dengan pendekatan berbasis survei. Penelitian ini dilakukan dengan menggunakan sampel dari peserta didik kelas XI IPS SMA Negeri 106 Jakarta sebanyak 67 peserta didik kelas XI IPS SMA Negeri 106 Jakarta yang dipilih menggunakan teknik simple random sampling. Penelitian dimulai dengan menyebarkan angket kepada peserta didik untuk mengukur resiliensi matematis mereka serta menyebarkan soal tes matematika untuk mengetahui ukuran kapasitas seseorang untuk memecahkan permasalahan matematis. Berlandaskan hasil pengujian analisis regresi linier sederhana menggunakan aplikasi IBM SPSS yakni menunjukkan besar nilai koefisien korelasinya R yaitu 0,577 dengan R2 = 33,30%. Dari hasil pengujian tersebut mengindikasikan besar efek resiliensi matematis mencapai 33,30% pada kemampuan pemecahan masalah matematis peserta didik.AbstractThe primary objective of implementing mathematics instruction is to improve students' problem-solving skills. Nonetheless, the problem-solving skills of students remain limited. The purpose of this research is to determine how effectively students can solve issues, as well as the influence and association between their degree of mathematical resilience and their capacity to solve mathematical difficulties. This research utilizes a survey-based quantitative research methodology. This research was conducted using a sample of students from class XI IPS SMA Negeri 106 Jakarta. 67 students from class XI IPS SMA Negeri 106 Jakarta were recruited using a technique of simple random sampling. The project was initiated by providing questionnaires to students to gauge their mathematical resilience and math exam questions to determine a person's capacity to solve mathematical difficulties. Based on the findings of a basic linear regression analysis using the IBM SPSS program, the correlation coefficient R is calculated to be 0.577, with R2=33.30 %. The test findings suggested that mathematical resilience has a 33.30 % impact on pupils' arithmetic problem-solving skills.

Students’ Errors in Problem-Solving Reviewed From the Perspective of Math Resilience

“…Indicators of Mathematics Resilience (Harsela & Asih, 2020) are as follows: 1) learning mathematics is valuable, meaningful and useful; 2) learning from mistakes, giving positive responses, and being resistant to giving up in negative situations or difficulties when learning mathematics; 3) have a strong desire, perseverance, try hard to continue to struggle in facing challenges or difficult situations; 4) persistent, Students' Errors in Problem-Solving Reviewed from the Perspective of Math Resilience Aulia Puspita Dewi, Wikan Budi Utami, Sri Adi Widodo, Muhammad Budi Haryono, Benjamin Laurentino Vaz, Fikri Aulia diligent, and confident in your own abilities, understanding, and experience to study mathematics. From these indicators, it can be seen that differences in students' mathematical resilience levels will influence their ability to solve mathematical problems (Afriyanti, Wardono, et al, 2018;Arjun & Muntazhimah, 2023;Kurnia et al, 2018). This is also in accordance with research (Fitriani et al, 2023;S.…”

Meta-Analysis : The Effect of Mathematical Resilience to Mathematical Problem Solving Ability

“…Students who have high resilience do not give up easily when experiencing difficulties and are able to fulfill all Polya problem solving steps (Harahap & Manurung, 2022;Nurfitri & Jusra, 2021). Students who have high mathematical resilience are likely to be better at solving the problems given, this can be seen from the correct solving technique even though the final answer is not correct (Arjun & Muntazhimah, 2023). So the higher the student's mathematical resilience, the higher their mathematical problem solving ability.…”

“…The effect of mathematical resilience to the ability to solve mathematical problems quantitatively has been widely researched. This research was conducted by Budiastuti & Supardi (2020), Attami et al (2020), Fatimah et al (2021, Cahyaningsih et al (2021), Lutfiyana et al (2022), Yuniar et al (2022), Kuncoro & Juandi (2023), Fitriani et al (2023), Olo et al (2023), andArjun &Muntazhimah (2023). However, this research only focuses on certain levels of education such as elementary, middle and high school.…”