Graphing Quadratics Worksheet Performance in Optimizing Mathematical Visual Thinking: A Single Subject Research

Authors

  • Giyanti Universitas Serang Raya
  • Rina Oktaviyanthi Universitas Serang Raya

DOI:

https://doi.org/10.31980/mosharafa.v13i2.1470

Keywords:

Linear Regression Analysis, Mathematical Visual Thinking, Quadratic Function, Single Subject Research, Worksheet Graphing Quadratics, Analisis Regresi Linier, Berpikir Visual Matematis, Fungsi Kuadrat, Penelitian Subjek Tunggal

Abstract

Kurangnya kemampuan berpikir visual matematis pada mahasiswa dapat menghambat pemahaman konsep fungsi kuadrat secara mendalam. Penelitian ini bertujuan untuk mengatasi masalah tersebut dengan mengevaluasi efektivitas worksheet graphing quadratics dalam meningkatkan kemampuan berpikir visual matematis mahasiswa. Metode penelitian yang digunakan adalah Single Subject Research (SSR), yang berfokus pada perubahan performa individu dalam kondisi baseline dan intervensi. Partisipan terdiri dari tiga mahasiswa tingkat pertama program studi pendidikan matematika di Universitas Serang Raya. Data kinerja mahasiswa dikumpulkan melalui tiga sesi pada fase baseline dan lima sesi pada fase intervensi. Teknik analisis data yang digunakan adalah analisis regresi linier untuk mengukur perbedaan signifikan antara fase baseline dan intervensi. Hasil penelitian menunjukkan peningkatan yang signifikan dalam performa setiap subjek selama fase intervensi, dengan adanya peningkatan level, kecenderungan perubahan yang kuat, dan perubahan segera setelah intervensi dimulai. Temuan ini menunjukkan bahwa penggunaan worksheet graphing quadratics efektif dalam mengoptimalkan kemampuan visualisasi matematis mahasiswa.

The limited visual mathematical thinking abilities of students can hinder a deep understanding of quadratic functions. This study aims to address this issue by evaluating the effectiveness of graphing quadratics worksheets in enhancing students' visual mathematical thinking. The research employs a Single Subject Research (SSR) method, focusing on individual performance changes across baseline and intervention phases. Three first-year students from the mathematics education program at Universitas Serang Raya participated in the study. Performance data were collected over three sessions in the baseline phase and five sessions in the intervention phase. Linear regression analysis was used to assess significant differences between baseline and intervention phases. The results indicated a significant improvement in each subject's performance during the intervention, with an increase in level, a strong trend, and immediate change upon the intervention’s onset. These findings suggest that graphing quadratics worksheets effectively optimize students' mathematical visualization skills.

References

Agus, R. N., & Oktaviyanthi, R. (2023). Worksheet graphing quadratics berbantuan phet simulation untuk optimalisasi mathematical visual thinking mahasiswa. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(2), 2166-2180.

Alnahdi, G. H. (2015). Single‐subject designs in special education: advantages and limitations. Journal of Research in Special Educational Needs, 15(4), 257-265.

Amelia, L. (2023). The Use of Collaborative Problem Solving on Mathematical Representation in Solving One Variable Linear Equation Problem in Junior High School. Mosharafa: Jurnal Pendidikan Matematika, 12(3), 641-654.

Anmarkrud, Ø., Andresen, A., & Bråten, I. (2019). Cognitive load and working memory in multimedia learning: Conceptual and measurement issues. Educational Psychologist, 54(2), 61-83.

Apostolou, M., & Christoforou, C. (2022). What makes single life attractive: An explorative examination of the advantages of singlehood. Evolutionary Psychological Science, 8(4), 403-412.

Arnheim, R. (2023). Visual thinking. Univ of California Press.

Aubrey, C. (2022). The role of subject knowledge in the early years of schooling. Taylor & Francis.

Azrillia, W., Oktaviyanthi, R., Khotimah, K., & Garcia, M. L. B. (2024). Feasibility Test of Articulate Storyline 3 Learning Media Based on Local Wisdom for Optimizing Students’ Algebraic Thinking Skills. Jurnal Penelitian Pendidikan, 27(1), 1-15.

Becker, A. (2023). The benefits of single-subject research designs and multi-methodological approaches for neuroscience research. Frontiers in Human Neuroscience, 17, 1190412.

Bjorklund, D. F. (2022). Children's thinking: Cognitive development and individual differences. Sage Publications.

Blair, B. J., & Mahoney, P. J. (2022). Creating single-subject research design graphs with Google applications. Behavior Analysis in Practice, 15(1), 295-311.

Ciccione, L., & Dehaene, S. (2021). Can humans perform mental regression on a graph? Accuracy and bias in the perception of scatterplots. Cognitive Psychology, 128, 101406.

Elsayed, S. A., & Al-Najrani, H. I. (2021). Effectiveness of the augmented reality on improving the visual thinking in mathematics and academic motivation for middle school students. Eurasia Journal of Mathematics, Science and Technology Education, 17(8), em1991.

Engelbrecht, J., & Borba, M. C. (2024). Recent developments in using digital technology in mathematics education. ZDM–Mathematics Education, 56(2), 281-292.

Fauzi, H., Yaniawati, R. P., & Sari, N. M. (2024). Penerapan pembelajaran computer-based learning dalam upaya meningkatkan kemampuan pemahaman matematika siswa. Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu, 3(2), 225-240.

Ferguson, J., Craig, E. A., & Dounavi, K. (2019). Telehealth as a model for providing behaviour analytic interventions to individuals with autism spectrum disorder: A systematic review. Journal of autism and developmental disorders, 49, 582-616.

Frick, A. (2019). Spatial transformation abilities and their relation to later mathematics performance. Psychological Research, 83(7), 1465-1484.

Hawes, Z., & Ansari, D. (2020). What explains the relationship between spatial and mathematical skills? A review of evidence from brain and behavior. Psychonomic Bulletin & Review, 27, 465-482.

Heng, L. C., & Said, M. N. (2020). Effects of digital game-based learning apps based on Mayer’s cognitive theory of multimedia learning in mathematics for primary school students. Innovative Teaching and Learning Journal (ITLJ), 4(1), 65-78.

Khoerunnisa, R., & Maryati, I. (2022). Kemampuan representasi matematis siswa smp terhadap materi segiempat. Plusminus: Jurnal Pendidikan Matematika, 2(1), 165-176.

Kim, D. (2022). Analysis of Single Subject Research Trends Related to Verbal Behavior Analysis. Journal of Behavior Analysis and Support, 9(1), 27-49.

Köse, H., & Güner-Yildiz, N. (2021). Augmented reality (AR) as a learning material in special needs education. Education and Information Technologies, 26(2), 1921-1936.

Ledford, J. R., Lane, J. D., & Severini, K. E. (2018). Systematic use of visual analysis for assessing outcomes in single case design studies. Brain Impairment, 19(1), 4-17.

Levin, J. R., Ferron, J. M., & Gafurov, B. S. (2021). Investigation of single-case multiple-baseline randomization tests of trend and variability. Educational Psychology Review, 33, 713-737.

Mahardika, D. A., Gumilar, A. C., & Retnaningrum, E. (2022). Model Pembelajaran Somatic, Auditory, Visual, Intellectual untuk Kemampuan Pemahaman Matematis Siswa SMK. Plusminus: Jurnal Pendidikan Matematika, 2(3), 345-356.

Manolov, R., & Onghena, P. (2022). Defining and assessing immediacy in single‐case experimental designs. Journal of the experimental analysis of behavior, 118(3), 462-492.

Marková, I., Zadeh, S., & Zittoun, T. (2020). Introduction to the special issue on generalisation from dialogical single case studies. Culture & Psychology, 26(1), 3-24.

Maulud, D., & Abdulazeez, A. M. (2020). A review on linear regression comprehensive in machine learning. Journal of Applied Science and Technology Trends, 1(2), 140-147.

Mize, M., Park, Y., & Carter, A. (2022). Technology‐based self‐monitoring system for on‐task behavior of students with disabilities: A quantitative meta‐analysis of single‐subject research. Journal of Computer Assisted Learning, 38(3), 668-680.

Muniri, & Yulistiyah, E. (2022). Representasi matematis siswa dalam menyelesaikan masalah sistem persamaan linear ditinjau dari gaya kognitif reflektif-implusif. Plusminus: Jurnal Pendidikan Matematika, 2(2), 201-210.

Muskita, M., & Subali, B. (2020). Effects of worksheets base the levels of inquiry in improving critical and creative thinking. International Journal of Instruction, 13(2), 519-532.

Natesan Batley, P., Shukla Mehta, S., & Hitchcock, J. H. (2021). A Bayesian rate ratio effect size to quantify intervention effects for count data in single case experimental research. Behavioral Disorders, 46(4), 226-237.

Oktaviyanthi, R., & Agus, R. N. (2021). Guided worksheet formal definition of limit: An instrument development process. AL-ISHLAH: Jurnal Pendidikan, 13(1), 449-461.

Oktaviyanthi, R., & Agus, R. N. (2023). Evaluating graphing quadratic worksheet on visual thinking classification: A confirmatory analysis. Infinity Journal, 12(2), 207-224.

Park, J., Bryant, D. P., & Shin, M. (2022). Effects of interventions using virtual manipulatives for students with learning disabilities: A synthesis of single-case research. Journal of learning disabilities, 55(4), 325-337.

Presmeg, N. (2020). Visualization and learning in mathematics education. In Encyclopedia of Mathematics Education (pp. 900-904).

Prosser, S. K., & Bismarck, S. F. (2023). Concrete–Representational–Abstract (CRA) Instructional Approach in an Algebra I Inclusion Class: Knowledge Retention Versus Students’ Perception. Education Sciences, 13(10), 1061.

Rahmayani, S. A., Susanto, & Suwito, A. (2023). Analysis of Middle School Students' Mathematical Representation Ability on Triangle Material Based on Learning Style. Mosharafa: Jurnal Pendidikan Matematika, 12(2), 279-290.

Riley-Tillman, T. C., Burns, M. K., & Kilgus, S. (2020). Evaluating educational interventions: Single-case design for measuring response to intervention. Guilford Publications.

Scruggs, T. E., & Mastropieri, M. A. (2021). How to summarize single-participant research: Ideas and applications. In The meta-analysis research in special education (pp. 227-244). Routledge.

Shanta, S., & Wells, J. G. (2022). T/E design-based learning: Assessing student critical thinking and problem-solving abilities. International Journal of Technology and Design Education, 32(1), 267-285.

Sholahudin, U., & Oktaviyanthi, R. (2023). The Trigonometric Adaptive Worksheet Performance in Optimizing Trigonometric Thinking of Prospective Mathematics Teacher: Single Subject Research. Jurnal Didaktik Matematika, 10(2), 250-265.

Silviani, E., Mardiani, D., & Sofyan, D. (2021). Analisis Kemampuan Representasi Matematis Siswa SMP pada Materi Statistika. Mosharafa: Jurnal Pendidikan Matematika, 10(3), 483-492.

Suningsih, A., & Istiani, A. (2021). Analisis kemampuan representasi matematis siswa. Mosharafa: Jurnal Pendidikan Matematika, 10(2), 225-234.

Tanious, R., & Onghena, P. (2021). A systematic review of applied single-case research published between 2016 and 2018: Study designs, randomization, data aspects, and data analysis. Behavior Research Methods, 53, 1371-1384.

Tito, A. S. D. A. P., Muhtadi, D., & Sukirwan. (2024). Kemampuan literasi numerasi siswa dalam menyelesaikan masalah perbandingan senilai. Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu, 3(1), 127-136.

Valverde-Berrocoso, J., Acevedo-Borrega, J., & Cerezo-Pizarro, M. (2022, June). Educational technology and student performance: A systematic review. In Frontiers in Education (Vol. 7, p. 916502). Frontiers Media SA.

von Thienen, J. P., Clancey, W. J., & Meinel, C. (2021). Theoretical foundations of design thinking. Part III: Robert H. McKim’s visual thinking theories. In Design Thinking Research: Interrogating the Doing (pp. 9-72).

Yang, L., Armijo-Olivo, S., & Gross, D. P. (2023). Single-Case Experimental Design in Rehabilitation: Basic Concepts, Advantages, and Challenges. American journal of physical medicine & rehabilitation, 102(5), 454-460.

Yu, Z., Gao, M., & Wang, L. (2021). The effect of educational games on learning outcomes, student motivation, engagement and satisfaction. Journal of Educational Computing Research, 59(3), 522-546.

Zanuttini, J. Z. (2020). Using a systematic review to explore single-subject design use within special education over time. Australasian Journal of Special and Inclusive Education, 44(1), 1-14.

Zettle, R. D. (2020). Treatment manuals, single-subject designs, and evidence-based practice: A clinical behavior analytic perspective. The Psychological Record, 70, 649-658.

Downloads

Published

2024-04-30

How to Cite

Giyanti, & Oktaviyanthi, R. (2024). Graphing Quadratics Worksheet Performance in Optimizing Mathematical Visual Thinking: A Single Subject Research. Mosharafa: Jurnal Pendidikan Matematika, 13(2), 371–386. https://doi.org/10.31980/mosharafa.v13i2.1470

Issue

Section

Articles

Similar Articles

1 2 3 4 5 6 7 8 9 10 > >> 

You may also start an advanced similarity search for this article.