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Implementation of TPACK-based integrated innovative learning design in linear algebra course

Year 2023, Volume: 4 Issue: 2, 97 - 107, 30.12.2023

Arjudin Arjudin Sri Subarinah Nyoman Sridana Nourma Pramestie Wulandari

Abstract

The purpose of this study was to describe the results of implementing an integrated innovative learning design based on Technological, Pedagogical, and Content Knowledges (TPACK) in Linear Algebra courses. This research is an explorative, descriptive research of which analysis is carried out through implementation on students of the Mathematics Education study program at Faculty of Teacher Training and Education University of Mataram who take Linear Algebra course. The study involved 58 students spread across two classes, namely class D, with as many as 31 students, and class E, with as many as 27 students. The research instrument used was a linear algebra problem-solving test. The results showed that the resulting integrated innovative learning design has not been effectively implemented in linear algebra lectures. From the category of ability levels, the characteristics of each can be described, namely subjects in the Very Poor category. Participants understanding is still mechanical, merely applying the methods they remember, and the results are also less precise. Subjects in the Less category can use memorized methods correctly but could not develop other methods or cases. Subjects in the Fair category can try to solve problems with other rules/methods even though neither result is correct. Subjects in the Good category can solve problems with other rules but need more confidence in determining the correct answer. Meanwhile, subjects in the Very Good category can solve problems with complete confidence in determining the correct answer without a doubt. Based on these results, it is hoped that an TPACK-based integrated innovative learning design can be developed even better in the future.

Keywords

Innovative learning design Linear algebra Math teaching practices TPACK-based teaching

References

  • Affandi, M., Chamalah, E., & Wardani, O. P. (2013). Model dan Metode Pembelajaran di Sekolah. Semarang: Sultan Agung Press.
  • Aji, W. N., & Budiyono, S. (2018). The Teaching strategy of Bahasa Indonesia in curriculum 2013. International Journal of Active Learning, 3(2), 58-64.
  • Allphin, D. M. (2011). Teacher Application and Enactment of Models of Teaching. University of Southern California. California: ProQuest Dissertations Publishing.
  • Arends, R. I. (2012). Learning to Teach (9th ed.). New York: The McGraw-Hill Companies.
  • Arjudin, A., Subarinah, S., & Suryadi, R. (2019). Analyzing Students’ Thinking Process in Solving Linear Algebra Problem. Advances in Social Science, Education and Humanities Research, 465, 86-89.
  • Arjudin, A., Sripatmi, S., Wulandari, N.P., & Hamdani, D. (2020). Pemetaan Proses Berpikir Mahasiswa pada Masalah Aljabar Linier. Proceeding of The 1st Annual Conference on Science, Education, and Technology.
  • Arjudin, A., Sa’dijah, C., Sutarto, S., & Hastuti, I.D. (2020). Characteristic Of the Incomplete Mathematical Connections in Understanding of Algebraic Problem. International Journal of Scientific & Technology Research, 9(3).
  • Carlson, M. P. dan Bloom, I. (2005). The Cyclic Nature of Problem Solving: An Emergent Multidimensional Problem-Solving Framework. Educational Studies in Mathematics, 58 (1): 45-75.
  • Creswell, J. W. (2012). Educational Research: Planning, Conducting, dan Evaluating Quantitative and Qualitative Research. Boston: Pearson Education.
  • Degeng, N. S. (2013). Ilmu Pembelajaran, Klasifikasi Variabel untuk Pengembangan Teori dan Penelitian. Bandung: Kalam Hidup.
  • Djalal, F. (2017). Optimalisasi Pembelajaran Melalui Pendekatan, Strategi, dan Model Pembelajaran. Sabilarrasyad, 2(1), 31-52.
  • Enríquez, J., Valencia, H. G., & de Oliveira, A. (2018). Strategies used by teachers of mathematics in the implementation of tasks. Modern Applied Science, 12(5), 114-127.
  • Joyce, B., Weil, M., & Calhoun, E. (2009). Models of Teaching, Model-model Pengajaran (A. Fawaid & A. Mirza, Translate). Yogyakarta: Pustaka Pelajar.
  • Knapp, M., Adelman, N., Marder, C., McCoHum, H., Needels, C., Padilla, C., Shields, P., Turnbull, B. & Zucker, A. (1995). Teaching for Meaning in High-Poverty Classrooms. New York: Teachers College Press.
  • Krulik, S., Rudnick, J., & Milou, R. (2003). Teaching Mathematics in Middle School, A Practical Guide. Boston: Pearson Education, Inc.
  • Lapp, D. A., Nyman, M. A. & Berry, J. S. (2010). Student Connections of Linear Algebra Concepts: An Analysis of Concept Maps. International Journal of Mathematics. Education in Science and Technology, 41 (1): 1 – 18.
  • Lehman, H. (1977). On Understanding Mathematics. Educational Studies in Mathematics, 27(2), 111-119.
  • Meel, D. E. (2003). Models and Theory of Mathematical Understanding Comparing Pirie and Kieren’s Models of Growth Mathematical Understanding and APOS Theory. CMBS Issue in Mathematical Education, 12, 132-181.
  • Miles, M.B., Huberman, A.M., & Saldana, J. (2014). Qualitative Data Analysis, A Methods Sourcebook, 3rd Edition. Arizona: Sage Publication, Inc.
  • Moleong, L. J. 2006. Metodologi Penelitian Kualitatif. Bandung: Remaja Rosda Karya.
  • Musfiqon, H.M., & Nurdyansyah. (2015). Pendekatan Pe,belajaran Saintifik. Sidoarjo: Nizamia Learning Center.
  • Nordyke, A. M. (2011). Models of Teaching: Indicators Influencing Teachers’ Perception of Pedagogical Choice. University of Southern California. California: ProQuest Dissertation Publishing.
  • Nurdyansyah, & Fahyuni, E. F. (2016). Inovasi Model Pembelajaran. Sidoarjo: Nizamia Learning Center.
  • OlahragaPedia.com. (2020). 5 Strategi Permainan Sepak Bola yang Benar. https://olahragapedia.com/strategi-permainan-sepak-bola
  • Polya, G. (1988). How to Solve It, A New Aspect of Mathematical Method. USA: Princeton University Press.
  • Silver, E.A. (1997). Fostering Creativity Through Instruction Rich in Mathematical Problem Solving and Problem Posing. Zentralblatt für Didaktik der Mathematik 29(3), 75–80. https://doi.org/10.1007/s11858-997-0003-x
  • Sanjaya, W. (2009). Strategi Pembelajaran. Jakarta: Kencana Prenada Media Group.
  • Shadiq, F. (2009). Model-model Pembelajaran Matematika SMP. Yogyakarta: Pusat Pengembangan dan Pemberdayaan Pendidik dan Tenaga Kependidikan (PPPPTK) Matematika.
  • Shi, H. (2017). Learning strategies and classification in education. Institute for Learning Styles Journal, 1, 24-36.
  • Socas, M. & Hernandez, J. (2013). Mathematical Problem Solving in Training Elementary Teachers from a Semiotic Logical Approach. The Mathematics Enthusiast, 10 (1&2), 91 - 218.
  • Subanji, S. (2011). Teori Berpikir Pseudo Penalaran Kovariasional. Malang: Penerbit Universitas Negeri Malang.
  • Sutarto, S., & Syarifuddin, S. (2013). Desain Pembelajaran Matematika. Yogyakarta: Penerbit Samodra Biru. TLL. (2002). What Strategic Teaching. Retrieved from The MIT Teaching + Learning Laboratory (TLL): https://tll.mit.edu/help/what-strategic-teaching.

Year 2023, Volume: 4 Issue: 2, 97 - 107, 30.12.2023

Arjudin Arjudin Sri Subarinah Nyoman Sridana Nourma Pramestie Wulandari

Abstract

References

  • Affandi, M., Chamalah, E., & Wardani, O. P. (2013). Model dan Metode Pembelajaran di Sekolah. Semarang: Sultan Agung Press.
  • Aji, W. N., & Budiyono, S. (2018). The Teaching strategy of Bahasa Indonesia in curriculum 2013. International Journal of Active Learning, 3(2), 58-64.
  • Allphin, D. M. (2011). Teacher Application and Enactment of Models of Teaching. University of Southern California. California: ProQuest Dissertations Publishing.
  • Arends, R. I. (2012). Learning to Teach (9th ed.). New York: The McGraw-Hill Companies.
  • Arjudin, A., Subarinah, S., & Suryadi, R. (2019). Analyzing Students’ Thinking Process in Solving Linear Algebra Problem. Advances in Social Science, Education and Humanities Research, 465, 86-89.
  • Arjudin, A., Sripatmi, S., Wulandari, N.P., & Hamdani, D. (2020). Pemetaan Proses Berpikir Mahasiswa pada Masalah Aljabar Linier. Proceeding of The 1st Annual Conference on Science, Education, and Technology.
  • Arjudin, A., Sa’dijah, C., Sutarto, S., & Hastuti, I.D. (2020). Characteristic Of the Incomplete Mathematical Connections in Understanding of Algebraic Problem. International Journal of Scientific & Technology Research, 9(3).
  • Carlson, M. P. dan Bloom, I. (2005). The Cyclic Nature of Problem Solving: An Emergent Multidimensional Problem-Solving Framework. Educational Studies in Mathematics, 58 (1): 45-75.
  • Creswell, J. W. (2012). Educational Research: Planning, Conducting, dan Evaluating Quantitative and Qualitative Research. Boston: Pearson Education.
  • Degeng, N. S. (2013). Ilmu Pembelajaran, Klasifikasi Variabel untuk Pengembangan Teori dan Penelitian. Bandung: Kalam Hidup.
  • Djalal, F. (2017). Optimalisasi Pembelajaran Melalui Pendekatan, Strategi, dan Model Pembelajaran. Sabilarrasyad, 2(1), 31-52.
  • Enríquez, J., Valencia, H. G., & de Oliveira, A. (2018). Strategies used by teachers of mathematics in the implementation of tasks. Modern Applied Science, 12(5), 114-127.
  • Joyce, B., Weil, M., & Calhoun, E. (2009). Models of Teaching, Model-model Pengajaran (A. Fawaid & A. Mirza, Translate). Yogyakarta: Pustaka Pelajar.
  • Knapp, M., Adelman, N., Marder, C., McCoHum, H., Needels, C., Padilla, C., Shields, P., Turnbull, B. & Zucker, A. (1995). Teaching for Meaning in High-Poverty Classrooms. New York: Teachers College Press.
  • Krulik, S., Rudnick, J., & Milou, R. (2003). Teaching Mathematics in Middle School, A Practical Guide. Boston: Pearson Education, Inc.
  • Lapp, D. A., Nyman, M. A. & Berry, J. S. (2010). Student Connections of Linear Algebra Concepts: An Analysis of Concept Maps. International Journal of Mathematics. Education in Science and Technology, 41 (1): 1 – 18.
  • Lehman, H. (1977). On Understanding Mathematics. Educational Studies in Mathematics, 27(2), 111-119.
  • Meel, D. E. (2003). Models and Theory of Mathematical Understanding Comparing Pirie and Kieren’s Models of Growth Mathematical Understanding and APOS Theory. CMBS Issue in Mathematical Education, 12, 132-181.
  • Miles, M.B., Huberman, A.M., & Saldana, J. (2014). Qualitative Data Analysis, A Methods Sourcebook, 3rd Edition. Arizona: Sage Publication, Inc.
  • Moleong, L. J. 2006. Metodologi Penelitian Kualitatif. Bandung: Remaja Rosda Karya.
  • Musfiqon, H.M., & Nurdyansyah. (2015). Pendekatan Pe,belajaran Saintifik. Sidoarjo: Nizamia Learning Center.
  • Nordyke, A. M. (2011). Models of Teaching: Indicators Influencing Teachers’ Perception of Pedagogical Choice. University of Southern California. California: ProQuest Dissertation Publishing.
  • Nurdyansyah, & Fahyuni, E. F. (2016). Inovasi Model Pembelajaran. Sidoarjo: Nizamia Learning Center.
  • OlahragaPedia.com. (2020). 5 Strategi Permainan Sepak Bola yang Benar. https://olahragapedia.com/strategi-permainan-sepak-bola
  • Polya, G. (1988). How to Solve It, A New Aspect of Mathematical Method. USA: Princeton University Press.
  • Silver, E.A. (1997). Fostering Creativity Through Instruction Rich in Mathematical Problem Solving and Problem Posing. Zentralblatt für Didaktik der Mathematik 29(3), 75–80. https://doi.org/10.1007/s11858-997-0003-x
  • Sanjaya, W. (2009). Strategi Pembelajaran. Jakarta: Kencana Prenada Media Group.
  • Shadiq, F. (2009). Model-model Pembelajaran Matematika SMP. Yogyakarta: Pusat Pengembangan dan Pemberdayaan Pendidik dan Tenaga Kependidikan (PPPPTK) Matematika.
  • Shi, H. (2017). Learning strategies and classification in education. Institute for Learning Styles Journal, 1, 24-36.
  • Socas, M. & Hernandez, J. (2013). Mathematical Problem Solving in Training Elementary Teachers from a Semiotic Logical Approach. The Mathematics Enthusiast, 10 (1&2), 91 - 218.
  • Subanji, S. (2011). Teori Berpikir Pseudo Penalaran Kovariasional. Malang: Penerbit Universitas Negeri Malang.
  • Sutarto, S., & Syarifuddin, S. (2013). Desain Pembelajaran Matematika. Yogyakarta: Penerbit Samodra Biru. TLL. (2002). What Strategic Teaching. Retrieved from The MIT Teaching + Learning Laboratory (TLL): https://tll.mit.edu/help/what-strategic-teaching.
There are 32 citations in total.

Details

Primary Language English
Subjects Mathematics Education
Journal Section Math Teaching Strategies
Authors

Arjudin Arjudin This is me 0009-0002-7480-053X

Sri Subarinah This is me 0009-0003-2192-1589

Nyoman Sridana This is me 0009-0006-6665-7154

Nourma Pramestie Wulandari

Early Pub Date December 22, 2023
Publication Date December 30, 2023
Submission Date December 7, 2023
Acceptance Date December 22, 2023
Published in Issue Year 2023 Volume: 4 Issue: 2

Cite

APA Arjudin, A., Subarinah, S., Sridana, N., Wulandari, N. P. (2023). Implementation of TPACK-based integrated innovative learning design in linear algebra course. Journal for the Mathematics Education and Teaching Practices, 4(2), 97-107.
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