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All Journal Jurnal Inovasi Teknologi Pendidikan Jurnal Eduscience (JES) Plusminus: Jurnal Pendidikan Matematika
Artasari, Adika
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Education Mathematics Other

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Factor analysis of algebraic thinking skills: A case study on developing area model algebra worksheet based on PhET Interactive Simulation Giyanti, Giyanti; Artasari, Adika; Oktaviyanthi, Rina; Husain, Sharifah Kartini Said
Jurnal Inovasi Teknologi Pendidikan Vol. 11 No. 4 (2024): December
Publisher : Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jitp.v11i4.79362

Abstract

Algebraic thinking is a vital skill in mathematics education, enabling students to generalize patterns, decompose expressions, and apply mathematical models in real-world contexts. However, students often struggle to connect abstract algebraic concepts to practical, real-world problems, which limits their ability to apply these skills effectively. This study aims to uncover the latent structures underlying students' algebraic thinking skills through Exploratory Factor Analysis (EFA). Data were collected from 60 junior high school students in Serang, Banten, who completed worksheets assessing five indicators of algebraic thinking: X1 (Generalization – Decomposing an expression), X2 (Generalization – Using area model), X3 (Transformational – Representing multiplication problem), X4 (Transformational – Strategies for multi-digit numbers), and X5 (Meta-global level – Using area model in real-world contexts), alongside algebraic thinking ability scores (Y). Using varimax rotation, the analysis identified two significant factors. The first, "Generalization and Area Model Application Capability," explained 31.118% of the variance, with high loadings for X2 (0.701) and X3 (0.724). The second, "Transformational Strategies in Multi-digit Numbers," accounted for 20.543% of the variance, with strong loadings for X1 (0.923) and X4 (0.631). Together, these factors explained 51.661% of the total variance. These findings underscore the importance of enhancing generalization skills through area models, including their application to real-world problems and strengthening transformational strategies for multi-digit operations. Incorporating interactive tools like PhET simulations may further support these cognitive processes. Future research should explore classroom implementation and its impact on students' long-term outcomes.
DEVELOPMENT STRATEGY OF E-POCKET BOOK TO OPTIMIZE ALGEBRAIC THINKING SKILLS OF JUNIOR HIGH SCHOOL STUDENTS Artasari, Adika; Oktaviyanthi, Rina
JURNAL EDUSCIENCE Vol 11, No 3 (2024): Jurnal Eduscience (JES), (Authors from Hungary, South Africa, Malaysia, and Ind
Publisher : Universitas Labuhanbatu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36987/jes.v11i3.6425

Abstract

Many middle school students face challenges in developing algebraic thinking skills, which hinders their understanding and application of algebraic concepts. This study aims to develop an E-Pocket Book as a learning medium to optimize middle school students’ algebraic thinking skills. The research employs a development method using the ADDIE model (Analyze, Design, Development, Implementation, Evaluation). The subjects of this study are eighth-grade students from SMPN 14 in Serang City. The research instruments include both tests (cognitive tests) and non-tests (questionnaires). The cognitive test was administered to 59 students during the field trial and 8 students during the limited trial, with the results showing significant improvement in students’ algebraic thinking skills, with increases of 71% and 79%, respectively. The non-test instruments consist of two types of questionnaires: assessment questionnaires and response questionnaires. The assessment questionnaire was given to two subject matter experts, who rated the e-pocket book as feasible (85.2%), and one media expert, who rated it highly feasible (93%). The response questionnaire was distributed to both mathematics teachers and students, with an overall feasibility rating of 80% from teachers and 87% from students. The findings indicate that the e-pocket book is a viable learning medium and effectively enhances students’ algebraic thinking abilities.
Optimizing Algebraic Thinking using the Area Model Algebra Worksheet based on PhET Interactive Simulation Artasari, Adika; Oktaviyanthi, Rina; Zahwatuzzukhrufiah; Delvianingsih, Nenden
Plusminus: Jurnal Pendidikan Matematika Vol. 4 No. 2 (2024): July
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/plusminus.v4i2.1465

Abstract

Penelitian ini bertujuan mengembangkan, memvalidasi dan menguji lapangan Area Model Algebra Worksheet berbasis Phet Interactive Simulation sebagai upaya optimalisasi berpikir aljabar siswa. Metode penelitian ini mengadaptasi prosedur penelitian pengembangan model ADDIE, terdiri dari fase Analysis, Design, Development, Implementation, dan Evaluating. Pengambilan data uji ahli menggunakan kuesioner dengan aspek substansi konsep aljabar, struktur lembar kerja yang dinilai, dan penggunaan bahasa. Pengambilan data uji coba terbatas dilakukan dengan pengisian lembar kerja yang telah divalidasi dan dinyatakan layak oleh validator ahli. Data uji ahli dianalisis menggunakan Statistika Q-Cochran dan data penggunaan lembar kerja oleh subjek penelitian dianalisis dengan Cronbach Alpha. Dari hasil uji Q-Cochran validasi lima orang ahli diperoleh nilai Asymp.Sig. = 0.539 > 0.05 untuk validitas muka dan nilai Asymp.Sig. = 0.707 > 0.05 untuk validitas isi yang mengindikasikan kelima orang validator menunjukkan pertimbangan yang seragam pada Area Model Algebra Worksheet berbasis Phet Interactive Simulation. Implikasinya, worksheet yang disusun memenuhi kelayakan untuk digunakan dalam membantu menyelesaikan masalah siswa pada konsep perkalian aljabar sekaligus menstimulasi kemampuan berpikir aljabar siswa. Adapun dari hasil uji terbatas dan uji lapangan pada 15 dan 65 orang siswa diperoleh perhitungan nilai r hitung > r kritis yang disimpulkan kelima butir worksheet valid dan reliabel. The aim of this research is to develop, validate, and field test an Area Model Algebra Worksheet based on PhET Interactive Simulation as an effort to optimize students' algebraic thinking. The research method adapted the ADDIE model development procedure, which consists of the phases of Analysis, Design, Development, Implementation, and Evaluation. Data collection for expert validation used questionnaires assessing aspects of algebraic concept substance, worksheet structure, and language usage. Limited tests data were collected through the completion of validated worksheets considered appropriate by expert validators. Expert validation data were analyzed using the Q-Cochran statistic, and worksheet usage data by research subjects were analyzed using Cronbach's Alpha. The results of the Q-Cochran validation by five experts generated an Asymp.Sig. value of 0.539 > 0.05 for face validity and an Asymp.Sig. value of 0.707 > 0.05 for content validity, indicating that the five validators had consistent evaluations of the Area Model Algebra Worksheet based on PhET Interactive Simulation. The implication is that the developed worksheet meets the criteria for use in helping students solve algebraic multiplication problems while stimulating their algebraic thinking skills. Additionally, the results of limited and field tests with 15 and 65 students showed that the coefficient r values were greater than the critical r values, leading to the conclusion that the five items in the worksheet are valid and reliable.
Co-Authors Delvianingsih, Nenden Giyanti, Giyanti Husain, Sharifah Kartini Said Rina Oktaviyanthi, Rina Zahwatuzzukhrufiah