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Journal : Jurnal Infinity

Improving mathematical proof based on computational thinking components for prospective teachers in abstract algebra courses Nurlaelah, Elah; Pebrianti, Aneu; Taqiyuddin, Muhammad; Dahlan, Jarnawi Afgani; Usdiyana, Dian
Jurnal Infinity Vol 14 No 1 (2025): VOLUME 14, NUMBER 1, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v14i1.p85-108

Abstract

Understanding and constructing mathematical proofs is fundamental for students in abstract algebra courses. The computational thinking approach can aid the process of compiling mathematical proofs. This study examined the impact of integrating computational thinking components in constructing mathematical proofs. The researcher employed a sequential explanatory approach to ascertain the enhancement of algebraic proof capability based on computational thinking through the t- test. A total of 32 prospective teachers in mathematics education programs were provided with worksheets for seven meetings, which were combined with computational thinking components. Quantitative data were collected from initial and subsequent test instruments. Moreover, three prospective teachers were examined through case studies to investigate their mathematical proof capability using computational thinking components, including decomposition, abstraction, pattern recognition, and algorithmic thinking. The study's findings indicated that CT intervention enhanced students' logical reasoning, proof-writing abilities, and overall engagement with abstract algebra concepts. The findings illustrate that integrating computational thinking into learning strategies can provide a framework for developing higher-order thinking skills, especially in proving, which are essential for studies in mathematics education programs.
The effect of experiential learning and directed instructions assisted by augmented reality on students' self-regulated learning Maulida, Aya Shofia; Wahyudin, Wahyudin; Turmudi, Turmudi; Nurlaelah, Elah
Jurnal Infinity Vol 13 No 2 (2024): VOLUME 13, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v13i2.p553-568

Abstract

In the last decade, augmented reality has been one type of virtual reality technology. AR can be applied to mobile learning, improving efficiency and effectiveness in education, even for learning mathematics. The study aims to analyze and describe comprehensively the effect of experiential learning and direct instruction assisted by augmented reality on the acquisition and improvement of students' mathematical reasoning abilities. This research uses quantitative methods with a quasi-experimental, one-group pretest-posttest design and a pretest-posttest control group design. The sample in this study consisted of 50 students in the eighth grade at one of the secondary schools in Bandung, Indonesia. The instrument in this study is a set of mathematical reasoning ability tests. The results of this study concluded that 1) Based on the standard of the deviation, the descriptive spread of scores for achieving mathematical reasoning abilities of students learning with experiential learning assisted by augmented reality (more widespread); 2) Cohen's d value on the output paired samples effect sizes was 14.003 with a point estimate of (large) so the value of the effects sizes obtained shows that the implementation of experiential learning assisted augmented reality has a major effect on the acquisition of mathematical reasoning abilities; 3) The mean achievement of mathematical reasoning abilities of students studying with experiential learning assisted by augmented reality was 60.38 relatively lower than the mean achieving mathematics reasoning abilities of students who studied with directed instructions assisted by augmented reality, 70.33; 4) The effect size value shown by the value is -3.50, and this value is less than 0.2, so based on Cohen's d criterion, then the effect of experiential learning assisted by augmented reality on the acquisition of mathematical reasoning abilities students are in the small category. The findings combine experiential learning and directed instructions assisted by augmented reality, influencing students' reasoning ability mathematically.
Improving mathematical proof based on computational thinking components for prospective teachers in abstract algebra courses Nurlaelah, Elah; Pebrianti, Aneu; Taqiyuddin, Muhammad; Dahlan, Jarnawi Afgani; Usdiyana, Dian
Jurnal Infinity Vol 14 No 1 (2025): VOLUME 14, NUMBER 1, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v14i1.p85-108

Abstract

Understanding and constructing mathematical proofs is fundamental for students in abstract algebra courses. The computational thinking approach can aid the process of compiling mathematical proofs. This study examined the impact of integrating computational thinking components in constructing mathematical proofs. The researcher employed a sequential explanatory approach to ascertain the enhancement of algebraic proof capability based on computational thinking through the t- test. A total of 32 prospective teachers in mathematics education programs were provided with worksheets for seven meetings, which were combined with computational thinking components. Quantitative data were collected from initial and subsequent test instruments. Moreover, three prospective teachers were examined through case studies to investigate their mathematical proof capability using computational thinking components, including decomposition, abstraction, pattern recognition, and algorithmic thinking. The study's findings indicated that CT intervention enhanced students' logical reasoning, proof-writing abilities, and overall engagement with abstract algebra concepts. The findings illustrate that integrating computational thinking into learning strategies can provide a framework for developing higher-order thinking skills, especially in proving, which are essential for studies in mathematics education programs.
Does students' thought structure in object configuration patterns follow cognitive verbs in learning outcomes? Dahlan, Jarnawi Afgani; Nurlaelah, Elah; Bariyah, Nusrotul; Kristiani, Yasinta Dian
Jurnal Infinity Vol 14 No 2 (2025): VOLUME 14, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v14i2.p551-570

Abstract

This study aims to comprehensively investigate students' learning approach in identifying, predicting, and generalizing object and number configuration. A qualitative method was applied with as many as 28 participants from eighth-grade students in Bandung, Indonesia. Students’ ability to recognize, predict, and generalize the configuration of objects and numbers was assessed. At the same time, the approaches employed in the process were analyzed. The research showed that students used different approaches to figure out the pattern of objects and number configuration. These approaches were: descriptive, operational, visual-descriptive, visual-operational, and descriptive-visual-operational. Keywords were typically employed in the descriptive approach to predict unknown objects or numbers. However, the descriptive approach could not accurately predict specific patterns. Therefore, students employed other approaches, including operational, visual-descriptive, visual-operational, and descriptive-visual-operational approaches. Unfortunately, all approaches have proven inadequate for formulating generalizations (general rules) independently. These results showed that when teaching students how numbers and objects are configured, they should be encouraged to try different ways of seeing patterns, such as descriptive, visual, operational, or a combination of the three.
Co-Authors Aan Hasanah Abdul Baist Ade Irma Afrisno Udil, Patrisius Agusantia, Dwi Ahzan, Zulkaidah Nur Andri Novianto Anwar, Vita Nova Asep Bayu Dani Nandiyanto Bambang Avip Priatna Martadiputra cakrawala Bariyah, Nusrotul Bonyah, Ebenezer Dadang Juandi Darhim Darhim Dewi Rachmatin Dian Permatasari Dian Usdiyana Didi Suryadi Dini Andiani, Dini Diva, Destiara Rahma Elsayed, Ebrahim E. Eyus Sudihartinih Fadilah, Nisa Fardatil Aini Agusti Fauzi, Ahmad Lutfi Fauziyah, Isna Fifih Nurafifah Gí¼rbí¼z, Ferit Hermanto Hermanto I Made Suarsana I Made Suarsana Ika Wulandari Indah Widanarti, Indah Irianto Irianto Irianto Jaky Jerson Palpialy, Jaky Jerson Jarnawi Afgani Dahlan Jarnawi Jarnawi Jauharu, Afifah Latip Rasyid Kisdiono, Toyib Febri Kristiani, Yasinta Dian Kusaka, Satoshi Kusumah, Y S Kyaruzi, Florence Laili Rahmawati, Laili Lembayung, Trias Lussy Midani Rizki Maharani, Permata Putri Maqruf, Agus Marchy, Febrinna Marfi Ario Maulida, Aya Shofia Maya L Hutapea, Maya L Mitrayana - Muhammad Taqiyuddin N. Nurjanah Naser, Abdurrahman Do. Muhamad Nasution, Nurul Rafiqah Nia Kania Nubatonis, Ofirenty Elyada Nurafiah, Fifih Nurafifah, Luthfiyati Nurafifah, Luthfiyati Pacis, Estrella R. Patrisius Afrisno Udil, Patrisius Afrisno Pebrianti, Aneu Prabawa, Harsa Wara Prida N. L. Taneo Pujia Siti Balkist Puspita, Wita Ratna Putra, Egha Alifa Putri Fitriasari, Putri Qirom, Muhamad Syahidul Rahma, fauziah annisa Ratri Isharyadi, Ratri Reni Nuraeni, Reni Rian Maulana, Rian Rifqi Hidayat, Rifqi Ririn Sispiyati Riska Novia Sari, Riska Novia Risma Nurul Auliya, Risma Nurul Rizki Ramadhani Rizky Rosjanuardi Sari, Atika Defita Scristia, Scristia Simanjuntak, Petris Siti Fatimah Soeleman, M Suhartini, Andi Sitti Suhendra Suhendra Suhendra Sumanang Muhtar Gozali Sumedi Sumedi Tamar Mone, Stephany Tatang Herman, Tatang Tri Nova Hasti Yunianta Trisna Roy Pradipta, Trisna Roy Turmudi Wahyudin Wahyudin Wangge, Magdalena Wati, Eti Yaya S. Kusumah Zaenal Arifin