Effectiveness of integrative learning models in improving understanding of mathematical concepts
Year 2020,
, 1005 - 1014, 15.09.2020
Mohamad Salam
,
Jafar -
Rahmad Prajono
Abstract
Abstract. This study aims to determine the effectiveness of the Integrative Learning model in improving the understanding of mathematical concepts. The integrative learning model is a learning model that aims to help students develop an in-depth understanding of building systematic knowledge that simultaneously trains their critical thinking skills by using a variety of thinking skills. This research is a quasi-experimental design used is Pretest-Posttest Control Group Design. This research was conducted in Senior High School (SHS) 6 Kendari class XI.2 as an experimental class and XI.4 as a control class. The experimental class is taught the integrative learning model, while the control class is taught by the direct learning model. The results of this study are: (1) the average understanding of mathematical concepts of students taught with integrative learning models increased from 60.56 to 77.61 and the average understanding of mathematical concepts of students taught with direct learning models increased from 60.11 to 68.87. (2) integrative and direct learning models are effective in increasing understanding of mathematical concepts, and (3) integrative learning models are more effective in improving understanding of mathematical concepts compared to direct learning models
Supporting Institution
Universitas Halu Oleo
Thanks
Our thanks go to the Chancellor of the University of Halu Oleo who assisted with this research and publication. We also thank the headmaster of SHS 6 Kendari for giving his permission and support in this study
References
- Albers, M. J. (2017). Introduction to quantitative data analysis in the behavioral and social sciences. John Wiley & Sons.
- Arends, R. (2014). Learning to teach. McGraw-Hill Higher Education.
- Ary, D., Jacobs, L. C., Irvine, C. K. S., & Walker, D. (2018). Introduction to research in education. Cengage Learning.
- Asria, V. Z., & Wahyudin, W. (2019, February). Implementation of rigorous mathematical thinking approach to analyze the students’ ability of algebraic thinking and understanding concept and mathematical habits of mind. In Journal of Physics: Conference Series (Vol. 1157, No. 4, p. 042085). IOP Publishing.
- Becker, K., & Park, K. (2011). Effects of integrative approaches among science, technology, engineering, and mathematics (STEM) subjects on students' learning: A preliminary meta-analysis. Journal of STEM Education: Innovations & Research, 12.
- Blessinger, P., & Carfora, J. M. (Eds.). (2015). Inquiry-based learning for multidisciplinary programs: A conceptual and practical resource for educators. Emerald Group Publishing.
- Borich, G. D. (2017). Effective teaching methods: Research-based practice (9th edit). Pearson.
- Cohen, L., Manion, L., & Morrison, K. (2013). Research methods in education. Routledge.
- D’Souza, M. J., Curran, K. L., Olsen, P. E., Nwogbaga, A. P., & Stotts, S. (2016). Integrative approach for a transformative freshman-level STEM curriculum. Journal of college teaching and learning, 13(2), 47.
- Durrant, K. L., & Hartman, T. P. (2015). The integrative learning value of field courses. Journal of Biological Education, 49(4), 385-400.
- Estes, T. H., Mintz, S. L., & Gunter, M. A. (2016). Instruction: A models approach. Pearson.
- Glogger-Frey, I., Fleischer, C., Grüny, L., Kappich, J., & Renkl, A. (2015). Inventing a solution and studying a worked solution prepare differently for learning from direct instruction. Learning and Instruction, 39, 72-87.
- Gunawan, I., Kusnandi, & Darhim. (2019). I am not good in circle task: Exploration on student’s semi-relationalist mathematical concepts. In Journal of Physics: Conference Series (Vol. 1188, No. 1, p. 012072). IOP Publishing.
- Isacsson, A. (2017). Integrative learning in education and expertise. Vocational education with a Finnish touch, 44.
- Joyce, B., Weil, M., & Calhoun, E. (2015). Models of teaching. (Nine th Ed). Pearson
- Kaplan, R. M., & Saccuzzo, D. P. (2017). Psychological testing: Principles, applications, and issues. Nelson Education.
- Kauchak, D. E., & Eggen, P. D. (2012). Strategies and models for teachers: Teaching content and thinking skills.
- Kilbane, C. R., & Milman, N. B. (2014). Teaching models: Designing instruction for 21st century learners. Pearson Higher Ed.
- Kudri, F., Rahmi, R., & Haryono, Y. (2018, April). Understanding Mathematic Concept in Relation and Function Method through Active Learning Type Group to Group Distributed LKS. In IOP Conference Series: Materials Science and Engineering (Vol. 335, No. 1, p. 012125). IOP Publishing.
- Lestari, P., Ristanto, R. H., & Miarsyah, M. (2019). Analysis of conceptual understanding of botany and metacognitive skill in pre-service biology teacher in Indonesia. Journal for the Education of Gifted Young Scientists, 7(2), 199-214.
- Lowenstein, M. (2015). General education, advising, and integrative learning. The Journal of General Education, 64(2), 117-130.
- Maxwell, S. E., Delaney, H. D., & Kelley, K. (2018). Designing experiments and analyzing data: A model comparison perspective. Routledge.
- Mertens, D. M. (2014). Research and evaluation in education and psychology: Integrating diversity with quantitative, qualitative, and mixed methods. Sage publications.
- Minarni, A., Napitupulu, E., & Husein, R. (2016). Mathematical understanding and representation ability of public junior high school in north sumatra. Journal on Mathematics Education, 7(1), 43-56.
- Muhlisin, A. (2019). Reading, mind mapping, and sharing (rms): innovation of new learning model on science lecture to improve understanding concepts. Journal for the Education of Gifted Young Scientists, 7(2), 323-340.
- Nehru, N., Riantoni, C., Pertiwi, D., Kurniawan, W., & İskandar, İ. (2020) “Knowledge in Pieces” View: Conceptual Understanding Analysis of Pre-service Physics Teachers on Direct Current Resistive Electrical Circuits. Journal for the Education of Gifted Young Scientists, 8(2), 723-730.
- Ningsih, Y. L., & Paradesa, R. (2018, January). Improving students’ understanding of mathematical concept using maple. In Journal of Physics: Conference Series (Vol. 948, No. 1, p. 012034). IOP Publishing.
- Yeni, Y. R., Syarifuddin, H., & Ahmad, R. (2019, August). The effect of contextual teaching and learning approach and motivation of learning on the ability of understanding the mathematics concepts of grade V student. In IOP Conference Series: Earth and Environmental Science (Vol. 314, No. 1, p. 012064). IOP Publishing.
- Salam, M., Ibrahim, N., & Sukardjo, M. (2019). Effects of Instructional Models and Spatial Intelligence on the Mathematics Learning Outcomes after Controlling for Students' Initial Competency. International Journal of Instruction, 12(3), 699-716.
- Salam, M., Ibrahim, N., & Sukardjo, M. (2019, April). The Effect of Learning Model and Spatial Intelligence on Learning Outcome. In 1st International Conference on Advanced Multidisciplinary Research (ICAMR 2018). Atlantis Press.
- Sukardjo, M., & Salam, M. (2020). Effect of Concept Attainment Models and Self-Directed Learning (SDL) on Mathematics Learning Outcomes. International Journal of Instruction, 13(3).
- Stronge, J. H. (2018). Qualities of effective teachers. ASCD.
- Sumarni, S., Darhim, D., Fatimah, S., Priatna, N., Anjelita, A., & Taufik, A. (2018, November). The students’ mathematical concept understanding ability through cooperative learning type jigsaw assisted visual media. In Journal of Physics: Conference Series (Vol. 1132, No. 1, p. 012051). IOP Publishing.
- Thahir, A., Mawarni, A., & Palupi, R. (2019). The effectiveness of demonstration methods assisting multiplication board tools for understanding mathematical concept in Bandar Lampung. Journal for the Education of Gifted Young Scientists, 7(2), 353-362.
- Widyastuti, R., Lestari, W. A., Fadhilah, U., & Nurfarida, R. (2019, February). The Ability to Understand Students’ Mathematical Concepts Through the PDEODE Cooperative Learning Model Based on Assessment for Learning (AFL). In Journal of Physics: Conference Series (Vol. 1155, No. 1, p. 012048). IOP Publishing.
- Woodside, J. M. (2018). Real-world rigour: An integrative learning approach for industry and higher education. Industry and Higher Education, 32(5), 285-289.
Year 2020,
, 1005 - 1014, 15.09.2020
Mohamad Salam
,
Jafar -
Rahmad Prajono
References
- Albers, M. J. (2017). Introduction to quantitative data analysis in the behavioral and social sciences. John Wiley & Sons.
- Arends, R. (2014). Learning to teach. McGraw-Hill Higher Education.
- Ary, D., Jacobs, L. C., Irvine, C. K. S., & Walker, D. (2018). Introduction to research in education. Cengage Learning.
- Asria, V. Z., & Wahyudin, W. (2019, February). Implementation of rigorous mathematical thinking approach to analyze the students’ ability of algebraic thinking and understanding concept and mathematical habits of mind. In Journal of Physics: Conference Series (Vol. 1157, No. 4, p. 042085). IOP Publishing.
- Becker, K., & Park, K. (2011). Effects of integrative approaches among science, technology, engineering, and mathematics (STEM) subjects on students' learning: A preliminary meta-analysis. Journal of STEM Education: Innovations & Research, 12.
- Blessinger, P., & Carfora, J. M. (Eds.). (2015). Inquiry-based learning for multidisciplinary programs: A conceptual and practical resource for educators. Emerald Group Publishing.
- Borich, G. D. (2017). Effective teaching methods: Research-based practice (9th edit). Pearson.
- Cohen, L., Manion, L., & Morrison, K. (2013). Research methods in education. Routledge.
- D’Souza, M. J., Curran, K. L., Olsen, P. E., Nwogbaga, A. P., & Stotts, S. (2016). Integrative approach for a transformative freshman-level STEM curriculum. Journal of college teaching and learning, 13(2), 47.
- Durrant, K. L., & Hartman, T. P. (2015). The integrative learning value of field courses. Journal of Biological Education, 49(4), 385-400.
- Estes, T. H., Mintz, S. L., & Gunter, M. A. (2016). Instruction: A models approach. Pearson.
- Glogger-Frey, I., Fleischer, C., Grüny, L., Kappich, J., & Renkl, A. (2015). Inventing a solution and studying a worked solution prepare differently for learning from direct instruction. Learning and Instruction, 39, 72-87.
- Gunawan, I., Kusnandi, & Darhim. (2019). I am not good in circle task: Exploration on student’s semi-relationalist mathematical concepts. In Journal of Physics: Conference Series (Vol. 1188, No. 1, p. 012072). IOP Publishing.
- Isacsson, A. (2017). Integrative learning in education and expertise. Vocational education with a Finnish touch, 44.
- Joyce, B., Weil, M., & Calhoun, E. (2015). Models of teaching. (Nine th Ed). Pearson
- Kaplan, R. M., & Saccuzzo, D. P. (2017). Psychological testing: Principles, applications, and issues. Nelson Education.
- Kauchak, D. E., & Eggen, P. D. (2012). Strategies and models for teachers: Teaching content and thinking skills.
- Kilbane, C. R., & Milman, N. B. (2014). Teaching models: Designing instruction for 21st century learners. Pearson Higher Ed.
- Kudri, F., Rahmi, R., & Haryono, Y. (2018, April). Understanding Mathematic Concept in Relation and Function Method through Active Learning Type Group to Group Distributed LKS. In IOP Conference Series: Materials Science and Engineering (Vol. 335, No. 1, p. 012125). IOP Publishing.
- Lestari, P., Ristanto, R. H., & Miarsyah, M. (2019). Analysis of conceptual understanding of botany and metacognitive skill in pre-service biology teacher in Indonesia. Journal for the Education of Gifted Young Scientists, 7(2), 199-214.
- Lowenstein, M. (2015). General education, advising, and integrative learning. The Journal of General Education, 64(2), 117-130.
- Maxwell, S. E., Delaney, H. D., & Kelley, K. (2018). Designing experiments and analyzing data: A model comparison perspective. Routledge.
- Mertens, D. M. (2014). Research and evaluation in education and psychology: Integrating diversity with quantitative, qualitative, and mixed methods. Sage publications.
- Minarni, A., Napitupulu, E., & Husein, R. (2016). Mathematical understanding and representation ability of public junior high school in north sumatra. Journal on Mathematics Education, 7(1), 43-56.
- Muhlisin, A. (2019). Reading, mind mapping, and sharing (rms): innovation of new learning model on science lecture to improve understanding concepts. Journal for the Education of Gifted Young Scientists, 7(2), 323-340.
- Nehru, N., Riantoni, C., Pertiwi, D., Kurniawan, W., & İskandar, İ. (2020) “Knowledge in Pieces” View: Conceptual Understanding Analysis of Pre-service Physics Teachers on Direct Current Resistive Electrical Circuits. Journal for the Education of Gifted Young Scientists, 8(2), 723-730.
- Ningsih, Y. L., & Paradesa, R. (2018, January). Improving students’ understanding of mathematical concept using maple. In Journal of Physics: Conference Series (Vol. 948, No. 1, p. 012034). IOP Publishing.
- Yeni, Y. R., Syarifuddin, H., & Ahmad, R. (2019, August). The effect of contextual teaching and learning approach and motivation of learning on the ability of understanding the mathematics concepts of grade V student. In IOP Conference Series: Earth and Environmental Science (Vol. 314, No. 1, p. 012064). IOP Publishing.
- Salam, M., Ibrahim, N., & Sukardjo, M. (2019). Effects of Instructional Models and Spatial Intelligence on the Mathematics Learning Outcomes after Controlling for Students' Initial Competency. International Journal of Instruction, 12(3), 699-716.
- Salam, M., Ibrahim, N., & Sukardjo, M. (2019, April). The Effect of Learning Model and Spatial Intelligence on Learning Outcome. In 1st International Conference on Advanced Multidisciplinary Research (ICAMR 2018). Atlantis Press.
- Sukardjo, M., & Salam, M. (2020). Effect of Concept Attainment Models and Self-Directed Learning (SDL) on Mathematics Learning Outcomes. International Journal of Instruction, 13(3).
- Stronge, J. H. (2018). Qualities of effective teachers. ASCD.
- Sumarni, S., Darhim, D., Fatimah, S., Priatna, N., Anjelita, A., & Taufik, A. (2018, November). The students’ mathematical concept understanding ability through cooperative learning type jigsaw assisted visual media. In Journal of Physics: Conference Series (Vol. 1132, No. 1, p. 012051). IOP Publishing.
- Thahir, A., Mawarni, A., & Palupi, R. (2019). The effectiveness of demonstration methods assisting multiplication board tools for understanding mathematical concept in Bandar Lampung. Journal for the Education of Gifted Young Scientists, 7(2), 353-362.
- Widyastuti, R., Lestari, W. A., Fadhilah, U., & Nurfarida, R. (2019, February). The Ability to Understand Students’ Mathematical Concepts Through the PDEODE Cooperative Learning Model Based on Assessment for Learning (AFL). In Journal of Physics: Conference Series (Vol. 1155, No. 1, p. 012048). IOP Publishing.
- Woodside, J. M. (2018). Real-world rigour: An integrative learning approach for industry and higher education. Industry and Higher Education, 32(5), 285-289.