The importance of mathematical disposition and procedural-conceptual knowledge for elementary school teachers

Imam Kusmaryono, Hevy Risqi Maharani, Kartinah Kartinah

Abstract


The success of learning mathematics in elementary schools is strongly influenced by the level of mathematical disposition, procedural knowledge, and conceptual knowledge of a teacher. This study follows an explanatory sequential design with the objectives of (1) investigating the effect of mathematical disposition on elementary school teachers' mathematical knowledge; and (2) describing the relationship between mathematical disposition, procedural knowledge, and conceptual knowledge in the formation of teachers' mathematical knowledge in problem-solving learning in elementary schools. Data collection through tests, questionnaires, and interviews. The test and questionnaire data were analyzed through linear regression statistical tests. Interview data were analyzed descriptively. Test the validity of interview data through triangulation of sources and theories. The results showed an effect of the level of mathematical disposition on mathematical knowledge (procedural and conceptual knowledge). Teachers with a high level of disposition have high procedural and conceptual knowledge. Meanwhile, teachers with low  disposition level have lower procedural and conceptual knowledge. A positive mathematical disposition is a relationship between mathematical disposition procedural knowledge, and conceptual knowledge. It has implications for the formation of mathematical knowledge (procedural and conceptual knowledge) of a teacher in problem-solving learning.  Also, the mathematical disposition is a prerequisite that supports the formation of mathematical knowledge (procedural and conceptual knowledge).


Keywords


Conceptual knowledge; Mathematical disposition; Procedural knowledge

Full Text:

PDF

References


Ahmad Al-Khateeb, M. (2016). The extent of mathematics teacher’s awareness of their students’ misconceptions in learning geometrical concepts in the intermediate education stage. European Scientific Journal, ESJ, 12(31), 357. https://doi.org/10.19044/esj.2016.v12n31p357

Aliustaoğlu, F., Tuna, A., & Biber, A. Ç. (2018). Misconceptions of sixth grade secondary school students on fractions. International Electronic Journal of Elementary Education, 10(5), 591–599. https://doi.org/10.26822/iejee.2018541308

Anku, S. E. (1996). Fostering students’ disposition towards mathematics: A case from a canadian university. Education, 116(4), 532–528. https://bit.ly/3BCFuyQ

Blazar, D., & Kraft, M. A. (2017). Teacher and Teaching Effects on Students’ Attitudes and Behaviors. In Educational Evaluation and Policy Analysis (Vol. 39, Issue 1). https://doi.org/10.3102/0162373716670260

Boonen, A. J. H., de Koning, B. B., Jolles, J., & van der Schoot, M. (2016). Word problem solving in contemporary math education: a plea for reading comprehension skills training. Frontiers in Psychology, 7(February), 1–10. https://doi.org/10.3389/fpsyg.2016.0019

Castrol, F. G., Kellison, J. G., Boyd1, S. J., & Kopak, A. (2010). A Methodology for Conducting Integrative Mixed Methods Research and Data Analyses. Journal Mix Methods Research, 4(4), 342–360. https://doi.org/10.1177/1558689810382916.A

Creswell, J. W. (2014). Research design: Qualitative, quantitative, and mixed methods approaches. SAGE Publications.

Damrongpanit, S. (2019). From modern teaching to mathematics achievement: The mediating role of mathematics attitude, achievement motivation, and self-efficacy. European Journal of Educational Research, 8(3), 713–727. https://doi.org/10.12973/eu-jer.8.3.713.

Feldhaus, C. A. (2014). How Pre Service Elementary School Teachers’ Mathematical Dispositions are Influenced by School Mathematics. American International Journal of Contemporary Research, 4(6), 91–97. http://www.aijcrnet.com/journals/Vol_4_No_6_June_2014/11.pdf

Gronseth, S., Brush, T., Ottenbreit-Leftwich, A., Strycker, J., Abaci, S., Easterling, W., Roman, T., Shin, S., & Leusen, P. van. (2010). Equipping the next generation of teachers: Technology preparation and practice. Journal of Digital Learning in Teacher Education, 27(1), 30–36. https://doi.org/10.1080/21532974.2010.10784654

Haji, S., Yumiati, Y., & Zamzaili, Z. (2019). Improving students’ productive disposition through realistic mathematics education with outdoor approach. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 4(2), 101–111. https://doi.org/10.23917/jramathedu.v4i2.8385

Hutajulu, M., Wijaya, T. T., & Hidayat, W. (2019). the Effect of mathematical disposition and learning motivation on problem solving: An analysis. Infinity Journal, 8(2), 229. https://doi.org/10.22460/infinity.v8i2.p229-238

Isaac, O. E., & Chikweru, A. E. (2018). Test for significance of Pearson’s correlation coefficient (r). International Journal of Innovative Mathematics, Statistics & Energy Policies, 1(1), 11–23. https://bit.ly/3zrw6eM

Jazuli, A., Setyosari, P., Sulthon, & Kuswandi, D. (2017). Improving conceptual understanding and problem-solving in mathematics through a contextual learning strategy. Global Journal of Engineering Education, 19(1), 49–53. https://bit.ly/3oNZDun

Johnson, R. B., & Onwuegbuzie, A. J. (2007). Toward a definition of mixed methods research. Journal of Mixed Methods Research, 1(2), 112–133. https://doi.org/10.1177/1558689806298224

Kim, S., Raza, M., & Seidman, E. (2019). Improving 21st-century teaching skills: The key to effective 21st-century learners. Research in Comparative and International Education, 14(1), 99–117. https://doi.org/10.1177/1745499919829214

Kroll, T., & Neri, M. (2009). Designs for Mixed Method Research. Wiley-Blackwell, Hoboken.

Kusmaryono, I., Basir, M. A., & Saputro, B. A. (2020). Ontological misconception in mathematics teaching in elementary schools. Infinity Journal, 9(1), 15. https://doi.org/10.22460/infinity.v9i1.p15-30

Kusmaryono, I., Suyitno, H., Dwijanto, D., & Dwidayati, N. (2019). The effect of mathematical disposition on mathematical power formation: Review of dispositional mental functions. International Journal of Instruction, 12(1), 343–356. https://doi.org/https://doi.org/10.29333/iji.2019.12123a

Manfreda, V. (2021). Mathematical Literacy from the Perspective of Solving Contextual Problems. European Journal of Educational Research, 10(1), 467–483. https://doi.org/10.12973/eu-jer.10.1.467

Markovits, Z., & Patkin, D. (2020). Preschool in-service teachers and geometry: attitudes, beliefs and knowledge. International Electronic Journal of Mathematics Education, 16(1), em0619. https://doi.org/10.29333/iejme/9303.

Miles, M. B., & Huberman, M. A. (2016). Qualitative data analysis: A resource book on new methods. In Universitas Indonesia_UI Press (11th ed., Issue 1). Universitas Indonesia (UI-Press).

Mulyono, Rahmawati, M. I., & Amidi. (2019). The ability of mathematical problem solving reviewed from goal orientation to learning model of problem based learning assisted by problem card. Unnes Journal of Mathematics Education, 8(1), 8–13. https://journal.unnes.ac.id/sju/index.php/ujme/article/view/29134

Ojose, B. (2015). Students’ Misconceptions in Mathematics: Analysis of Remedies and What Research Says. Ohio Journal of School Mathematics, 72(1), 30–34. https://bit.ly/3BzcIiz.

Österman, T., & Bråting, K. (2019). Dewey and mathematical practice: revisiting the distinction between procedural and conceptual knowledge. Journal of Curriculum Studies, 51(4), 457–470. https://doi.org/10.1080/00220272.2019.1594388

Otun, W. I., & Olaoye, A. A. (2019). Enhancing the conceptual, procedural and flexible procedural knowledge of pre-service mathematics teachers in algebra. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 4(2), 66–78. https://doi.org/10.23917/jramathedu.v4i2.8363

Rittle-Johnson, B., & Alibali, M. W. (1999). Conceptual and procedural knowledge of mathematics: Does one lead to the other? Journal of Educational Psychology, 91(1), 175–189. https://doi.org/10.1037/0022-0663.91.1.175

Rittle-Johnson, B., Fyfe, E. R., & Loehr, A. M. (2016). Improving conceptual and procedural knowledge: The impact of instructional content within a mathematics lesson. British Journal of Educational Psychology, 86(4), 576–591. https://doi.org/10.1111/bjep.12124

Salisu, A., & Ransom, E. N. (2014). The role of modeling towards impacting quality education. International Letters of Social and Humanistic Sciences, 32(2), 54–61. https://doi.org/10.18052/www.scipress.com/ilshs.32.54

Sasson, I., Kalir, D., & Malkinson, N. (2020). The role of pedagogical practices in novice teachers’ work. European Journal of Educational Research, 9(2), 457–469. https://doi.org/10.12973/eu-jer.9.2.457

Taber, K. S. (2018). The use of Cronbach’s Alpha when developing and reporting research instruments in science education. Research in Science Education, 48(6), 1273–1296. https://doi.org/10.1007/s11165-016-9602-2


Article Metrics

Abstract has been read : 509 times
PDF file viewed/downloaded: 0 times


DOI: http://doi.org/10.25273/pe.v12i2.12392

Refbacks

  • There are currently no refbacks.


Copyright (c) 2022 Premiere Educandum : Jurnal Pendidikan Dasar dan Pembelajaran


Premiere Educandum: Jurnal Pendidikan Dasar dan Pembelajaran published by UNIVERSITAS PGRI MADIUN.

View Premiere Educandum Stats