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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

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.

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

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.

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

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.

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

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.

Achievement of Students' Mathematical Understanding Through ICT-Assisted Analytical Geometry Learning Sudihartinih, Eyus; Ghaida, Silmi; Pebrianti, Aneu
Jurnal Pendidikan MIPA Vol 26, No 1 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i1.pp626-642

Analytical geometry is a crucial component of the curriculum for prospective mathematics teacher education, as it serves as a foundational skill for teaching in schools. However, recent studies have revealed that some students possess a limited comprehension of analytical geometry. In the current era, characterized by rapid technological advancement, there is an imperative for innovation in the pedagogy of analytical geometry, including the integration of ICT. This study aims to describe ICT-assisted analytical geometry learning and learning outcomes in the form of students' mathematical understanding achievements. The present study employs a mixed methods approach, integrating a sequential explanatory design. The quantitative research design employed is descriptive in nature, as it aims to articulate the students' mathematical understanding. To enhance the comprehension of the quantitative findings, qualitative research was conducted employing a holistic case study design, enabling a more profound examination of the data by incorporating students' perspectives and interpretations. The population of this study comprised second-semester prospective teacher students in classes A and B who had enrolled in analytical geometry courses at a university in Bandung City, Indonesia. The sample of this study was selected by purposive sampling, namely class A with a total of 40 students (12 males and 28 females). The study's findings suggest that the incorporation of ICT, specifically GeoGebra software and e-learning, enhances the effectiveness of learning analytical geometry, particularly the plane geometry topic. This enhancement is evident in the students' achievement in terms of mathematical understanding, which is satisfactory. Consequently, it is imperative to extend the application of ICT to other subjects or instructional segments. Keywords: ICT, geogebra, analytical geometry.

Ways of thinking senior high school student to solve geometri van hiele problem use reversible thinking ability Pebrianti, Aneu; Suhendra, Suhendra
Al-Jabar: Jurnal Pendidikan Matematika Vol 14 No 2 (2023): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v14i2.18116

Background: Reversible thinking is a cognitive strategy that involves tracing the path from an end result back to the starting point. It is particularly useful in problem-solving.Aim: This study aims to describe the thought process of high school students in finding solutions to van hiele geometry problems using reversible thinking ability.Method: A case study approach was employed. The participants were two high school students, and the research tools included written tests and interviews. These instruments were used to delve into the students' written responses.Result: The findings revealed two key aspects: firstly, the students' van Hiele geometry thinking was predominantly at the deduction stage, evidenced by their ability to model geometric shapes based on their characteristics. Secondly, their reversible thinking in geometry was demonstrated through the simplification of fractional operations to obtain whole parts.Conclusion: The study highlights the efficacy of reversible thinking in solving geometric problems and provides insights into the cognitive processes of high school students. The ability to reverse engineer solutions from a known outcome back to the starting conditions is a valuable skill in mathematical problem-solving.

Reversible Thinking Ability in Solving Mathematics Problems Pebrianti, Aneu; Juandi, Dadang
Jurnal Cendekia : Jurnal Pendidikan Matematika Vol 7 No 1: Jurnal Cendekia: Jurnal Pendidikan Matematika Volume 7 Nomor 1 Tahun 2023
Publisher : Mathematics Education Study Program

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/cendekia.v7i1.1905

Reversible thinking is the process of thinking by reversing the order of actions. Reversible thinking is an important aspect in helping to improve students' problem-solving ability. This research aims to analyze qualitative studies related to students' reversible thinking ability at elementary, middle, and high school levels in the period 2002 - 2022. The research method uses a Systematic Literature Review (SLR) that collects primary data that has been published in Sinta and Scopus indexed journals. Data extraction was adjusted to the selection criteria so that 19 articles were collected. Data analysis used a qualitative approach. Data grouping was done based on publication year, education level, demographics, journal indexer, material analyzed, and research results. The results shows that research related to reversible thinking ability became a trend in research in 2015-2022 with the topic of algebra. The studies related to this reversible thinking process are mostly conducted in the Java region at the elementary school level. However, this reversible thinking ability at all levels of education is still low. Based on the three aspects of reversible thinking, working backwards is the most difficult aspect for students to do. One of the reasons is because students do not understand the concept thoroughly. This is a concern for researchers and educators to conduct research related to students' reversible thinking ability, especially outside the region with topics that are still rarely studied.

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