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Abstract

Research on mathematics teacher professional development has emphasized primarily teaching quality enhancement. Mathematics task as one of the vital components in mathematics teacher education has been sparsely investigated. The purpose of this research is to explore mathematics teachers’ beliefs and practices in applying a problem-based task after attending one-semester online teacher professional training funded by the Ministry of Education. This is a mixed-method research design with data collected by distributing questionnaires to 105 mathematics teachers from 24 provinces in Indonesia after accomplishing an online professional training program to determine their self-reported beliefs about mathematical problem-based tasks. Data were also collected by conducting focus group interviews with 15 mathematics teachers with different teaching experiences. Teachers' relevant documents, such as course contents, task forms, and notes, were analyzed and used to enrich the qualitative interpretation. The quantitative result indicated that mathematics teachers' beliefs on the problem-based task were low. Meanwhile, the qualitative findings indicated this category of teachers constructed their problem-based tasks with no theoretical framework. Three misconceptions in designing problem-based tasks were also reported. Therefore, future research is recommended for a more acceptable and applicable problem-based tasks framework and design a specific teacher professional development training to promote teachers’ competencies.

Keywords

Misconceptions Task-Practice Problem-Based Tasks Professional Development Teaching Experiences

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Suryanti, S., Nusantara, T., Parta, I. N., & Irawati, S. (2022). Problem-based task in teacher training program: Mathematics teachers’ beliefs and practices. Journal on Mathematics Education, 13(2), 257–274. https://doi.org/10.22342/jme.v13i2.pp257-274
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References

  1. Andrews, P., Ryve, A., Hemmi, K., & Sayers, J. (2014). PISA, TIMSS and Finnish mathematics teaching: An enigma in search of an explanation. Educational Studies in Mathematics, 87(1), 7–26. https://doi.org/10.1007/s10649-014-9545-3
  2. Bardy, T., Holzäpfel, L., & Leuders, T. (2021). Adaptive Tasks as a Differentiation Strategy in the Mathematics Classroom: Features from Research and Teachers’ Views. Mathematics Teacher Education and Development, 23(3), 25–53. https://files.eric.ed.gov/fulltext/EJ1320725.pdf
  3. Bell, S. (2010). Project-based learning for the 21st century: Skills for the future. The Clearing House, 83(2), 39–43. https://doi.org/10.1080/00098650903505415
  4. Borko, H. (2004). Professional development and teacher learning: Mapping the terrain. Educational Researcher, 33(8), 3–15. https://doi.org/10.3102/0013189X033008003
  5. Bosica, J., Pyper, J. S., & MacGregor, S. (2021). Incorporating problem-based learning in a secondary school mathematics pre-service teacher education course. Teaching and Teacher Education, 102(103335), 1–10. https://doi.org/https://doi.org/10.1016/j.tate.2021.103335
  6. Capraro, R. M., & Slough, S. (2013). Why PBL? Why STEM? Why now? An introduction to STEM project-based learning: An integrated science, technology, engineering, and mathematics (STEM) approach. In R. M. Capraro, M. M. Capraro, and J. Morgan (Eds.), Project-based learning: An integrated science, technology, engineering, and mathematics (STEM) approach, 2nd ed (pp. 1–6). Sense. http://stemcentre.ru/uploads/media/documents/doc5b98abd338a755.73991485.pdf
  7. Casa, T. M., MacSwan, J. R., LaMonica, K. E., Colonnese, M. W., & Firmender, J. M. (2019). An analysis of the amount and characteristics of writing prompts in Grade 3 mathematics student books. School Science and Mathematics, 119(4), 176–189. https://doi.org/https://doi.org/10.1111/ssm.12333
  8. Chikasanda, V. K. M., Otrel-Cass, K., Williams, J., & Jones, A. (2013). Enhancing teachers’ technological pedagogical knowledge and practices: A professional development model for technology teachers in Malawi. International Journal of Technology and Design Education, 23(3), 597–622. https://doi.org/https://doi.org/10.1007/s10798-012-9206-8
  9. Clarke, B., Grevholm, B., & Millman, R. (2009). Tasks in primary mathematics teacher education. Springer. https://doi.org/https://doi.org/10.1007/978-0-387-09669-8
  10. Clarke, D., & Roche, A. (2018). Using contextualized tasks to engage students in meaningful and worthwhile mathematics learning. The Journal of Mathematical Behavior, 51, 95–108. https://doi.org/https://doi.org/10.1016/j.jmathb.2017.11.006
  11. CrossFrancis, D., Rapacki, L., & Eker, A. (2015). The individual, the context, and practice: A review of the research on teachers’ beliefs related to mathematics. In H. Fives & M. G. Gill (Eds.), International Handbook of research on teachers’ beliefs (pp. 336–352). Routledge. https://doi.org/https://doi.org/doi:10.4324/9
  12. de Araujo, Z., & Singletary, L. M. (2011). Secondary mathematics teachers’ conceptions of worthwhile tasks. In L. R. Wiest & T. Lamberg (Eds.), Proceedings of the 33rd annual meeting of the North American chapter of the international group for the psychology of mathematics education (pp. 1207–1215). University of Nevada, Reno. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.688.797&rep=rep1&type=pdf#page=1215
  13. Delisle, R. (1997). How to use problem-based learning in the classroom. Ascd. ISBN 0-87120-291-3.
  14. Desimone, L. M. (2009). Improving impact studies of teachers’ professional development: Toward better conceptualizations and measures. Educational Researcher, 38(3), 181–199. https://doi.org/10.3102/0013189X08331140
  15. Egert, F., Fukkink, R. G., & Eckhardt, A. G. (2018). Impact of in-service professional development programs for early childhood teachers on quality ratings and child outcomes: A meta-analysis. Review of Educational Research, 88(3), 401–433. https://doi.org/10.3102/0034654317751918
  16. Elliott, J. C. (2017). The evolution from traditional to online professional development: A review. Journal of Digital Learning in Teacher Education, 33(3), 114–125. https://doi.org/https://doi.org/10.1080/21532974.2017.1305304
  17. Even, R., & Olsher, S. (2014). Teachers as participants in textbook development: The integrated mathematics wiki-book project. In Y. Li & G. Lappan (Eds.), Mathematics curriculum in school education (pp. 333–350). Springer. https://doi.org/https://doi.org/10.1007/978-94-007-7560-2
  18. Gabriel, D. M. (2004). Teacher-Centered Professional Development Association for Supervision & Curriculum Development. Association for Supervision, VA. ISBN 0-87120-859-8. http://62.182.86.140/main/510000/aa1b64731a59c0c92a46a709d19bce54/Gabriel%20Diaz-Maggioli%20-%20Teacher-Centered%20Professional%20Development%20%282004%29.pdf.
  19. Glasnovic Gracin, D. (2018). Requirements in mathematics textbooks: a five-dimensional analysis of textbook exercises and examples. International Journal of Mathematical Education in Science and Technology, 49(7), 1003–1024. https://doi.org/https://doi.org/10.1080/0020739X.2018.1431849
  20. Glava, C. C., & Glava, A. E. (2010). Teaching skills training through e-learning. Procedia-Social and Behavioral Sciences, 2(2), 1752–1756. https://doi.org/10.1016/j.sbspro.2010.03.978
  21. Grevholm, B., Millman, R., & Clarke, B. (2005). Function, form and focus: The role of tasks in elementary mathematics teacher education. In Tasks in primary mathematics teacher education (pp. 1–5). Springer, Boston, MA. https://doi.org/https://doi.org/10.1007/978-0-387-09669-8
  22. Günter, T., & Alpat, S. K. (2017). The effects of problem-based learning (PBL) on the academic achievement of students studying ‘Electrochemistry’’.’ Chemistry Education Research and Practice, 18(1), 78–98. https://doi.org/10.1039/C6RP00176A
  23. Haruehansawasin, S., & Kiattikomol, P. (2018). Scaffolding in problem-based learning for low achieving learners. The Journal of Educational Research, 111(3), 363–370. https://doi.org/https://doi.org/10.1080/00220671.2017.1287045
  24. Hendriana, H., Johanto, T., & Sumarmo, U. (2018). The Role of Problem-Based Learning to Improve Students’ Mathematical Problem-Solving Ability and Self Confidence. Journal on Mathematics Education, 9(2), 291–300. https://files.eric.ed.gov/fulltext/EJ1194294.pdf
  25. Hiemstra, R., & Brockett, R. G. (1994). Resistance to self‐direction in learning can be overcome. New Directions for Adult and Continuing Education, 1994(64), 89–92. https://www.academia.edu/download/51620040/ace.3671994641320170203-6565-1a8gm14.pdf
  26. Hmelo-Silver, C. E. (2004). Problem-based learning: What and how do students learn? Educational Psychology Review, 16(3), 235–266. https://doi.org/1040-726X/04/0900-0235/0
  27. Jackson, K., Garrison, A., Wilson, J., Gibbons, L., & Shahan, E. (2013). Exploring relationships between setting up complex tasks and opportunities to learn in concluding whole-class discussions in middle-grades mathematics instruction. Journal for Research in Mathematics Education, 44(4), 646–682. http://mathedseminar.pbworks.com/w/file/fetch/69060017/JReseMathEduc.44.4.0646.pdf
  28. Karaçalli, S., & Korur, F. (2014). The effects of project‐based learning on students’ academic achievement, attitude, and retention of knowledge: The subject of “electricity in our lives.” School Science and Mathematics, 114(5), 224–235. https://doi.org/https://doi.org/10.1111/ssm.12071
  29. Kemendikbud. (2016). Permendikbud Nomor 22 Tahun 2016 Tentang Standar Proses Pendidikan Dan Menengah. Kemendikbud.
  30. Lavie, I., Steiner, A., & Sfard, A. (2019). Routines we live by: From ritual to exploration. Educational Studies in Mathematics, 101(2), 153–176. https://doi.org/https://doi.org/10.1007/s10649-018-9817-4
  31. Lee, H. C., & Blanchard, M. R. (2019). Why teach with PBL? Motivational factors underlying middle and high school teachers’ use of problem-based learning. Interdisciplinary Journal of Problem-Based Learning, 13(1), 2. https://doi.org/https://doi.org/10.7771/1541-5015.1719
  32. Merritt, J., Lee, M. Y., Rillero, P., & Kinach, B. M. (2017). Problem-based learning in K–8 mathematics and science education: A literature review. Interdisciplinary Journal of Problem-Based Learning, 11(2), 3. https://doi.org/https://doi.org/10.7771/1541-5015.1674
  33. Napitupulu, E. E., Suryadi, D., & Kusumah, Y. S. (2016). Cultivating Upper Secondary Students’ Mathematical Reasoning-Ability and Attitude towards Mathematics Through Problem-Based Learning. Journal on Mathematics Education, 7(2), 117–128. https://ejournal.unsri.ac.id/index.php/jme/article/download/3542/1882
  34. NCTM. (2000). Nasional Council of principles and standards for school mathematics. NCTM. https://www.nctm.org/uploadedFiles/Standards_and_Positions/PSSM_ExecutiveSummary.pdf
  35. Nelson, G., & Powell, S. R. (2018). A systematic review of longitudinal studies of mathematics difficulty. Journal of Learning Disabilities, 51(6), 523–539. https://doi.org/10.1177/0022219417714773
  36. Nicol, C., & Krykorka, F. (2016). The Place of Problems in Problem Based Learning: A Case of Mathematics and Teacher Education. In Problem-Based Learning in Teacher Education (pp. 173–186). Springer, Cham. https://doi.org/https://doi.org/10.1007/978-3-319-02003-7
  37. Parsons, S. A., Hutchison, A. C., Hall, L. A., Parsons, A. W., Ives, S. T., & Leggett, A. B. (2019). U.S. teachers’ perceptions of online professional development. Teaching and Teacher Education, 82, 33–42. https://doi.org/https://doi.org/doi:10.1016/j.tate.2019.03.006
  38. Pepin, B., Gueudet, G., & Trouche, L. (2013). Re-sourcing teacher work and interaction: New perspectives on resource design, use and teacher collaboration. ZDM: The International Journal of Mathematics Education, 45(7), 929–943. https://doi.org/10.1007/s11858-013-0534-2
  39. Powell, C. G., & Bodur, Y. (2019). Teachers’ perceptions of an online professional development experience: Implications for a design and implementation framework. Teaching and Teacher Education, 77, 19–30. https://doi.org/https://doi.org/10.1016/j.tate.2018.09.004
  40. Prendergast, M., Breen, C., Bray, A., Faulkner, F., Carroll, B., Quinn, D., & Carr, M. (2018). Investigating secondary students beliefs about mathematical problem-solving. International Journal of Mathematical Education in Science and Technology, 49(8), 1203–1218. https://doi.org/https://doi.org/10.1080/0020739X.2018.1440325
  41. Ratnayake, I., Thomas, M., & Kensington-Miller, B. (2020). Professional development for digital technology task design by secondary mathematics teachers. ZDM, 52(7), 1423–1437. https://doi.org/https://doi.org/10.1007/s11858-020-01180-8
  42. Ruthven, K., & Hennessy, S. (2002). A practitioner model of the use of computer-based tools and resources to support mathematics teaching and learning. Educational Studies in Mathematics, 49(1), 47–88. https://files.eric.ed.gov/fulltext/ED463748.pdf
  43. Salmon, G. (2012). E-moderating: The key to teaching and learning online. Routledge. https://doi.org/10.4324/9780203816684
  44. Schleicher, A. (2019). PISA 2018: Insights and Interpretations. OECD Publishing. https://www.oecd.org/pisa/PISA%202018%20Insights%20and%20Interpretations%20FINAL%20PDF.pdf
  45. Schoenfeld, A. H. (2022). Why are learning and teaching mathematics so difficult? In Handbook of cognitive mathematics (pp. 1–35). Springer. https://doi.org/https://doi.org/10.1007/978-3-030-44982-7
  46. Sims, S., & Fletcher-Wood, H. (2021). Identifying the characteristics of effective teacher professional development: a critical review. School Effectiveness and School Improvement, 32(1), 47–63. https://doi.org/https://doi.org/10.1080/09243453.2020.1772841
  47. Sullivan, P., Clarke, D., & Clarke, B. (2012). Teaching with tasks for effective mathematics learning. Springer. https://doi.org/10.1007/978-1-4614-4681-1
  48. Swan, M. (2011). Designing tasks that challenge values, beliefs and practices: A model for the professional development of practicing teachers. In In Constructing knowledge for teaching secondary mathematics (pp. 57–71). Springer, Boston, MA. https://doi.org/https://doi.org/10.1007/978-0-387-09812-8
  49. Takahashi, Y. (2008). Problem-based learning and task-based learning: a practical synthesis. The Kaohsiung Journal of Medical Sciences, 24(3), S31–S33. https://doi.org/https://onlinelibrary.wiley.com/doi/pdf/ 10.1016/S1607-551X%2808%2970091-3
  50. Trinter, C. P., Moon, T. R., & Brighton, C. M. (2015). Characteristics of students’ mathematical promise when engaging with problem-based learning units in primary classrooms. Journal of Advanced Academics, 26(1), 24–58. https://doi.org/https://doi.org/10.1177/1932202X14562394
  51. Tschida, C. M., Hodge, E. M., & Schmidt, S. W. (2016). Learning to teach online: Negotiating issues of platform, pedagogy, and professional development. In Handbook of research on learning outcomes and opportunities in the digital age (pp. 664–684). IG.
  52. Uden, L. (2003). Problem-Based Task Knowledge Structures in Projects. 4th Annual Conference of the LTNS Centre for Information and Computer Science. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.500.5522&rep=rep1&type=pdf
  53. van Barneveld, A., & Strobel, J. (2009). Problem-based learning: effectiveness, drivers, and implementation challenges. In Research on PBL practice in engineering education (pp. 35–44). Brill Sense.
  54. Verschaffel, L., Schukajlow, S., Star, J., & Van Dooren, W. (2020). Word problems in mathematics education: A survey. ZDM, 52(1), 1–16. https://doi.org/https://doi.org/10.1007/s11858-020-01130-4
  55. Westwood, P. (2011). The problem with problems: Potential difficulties in implementing problem-based learning as the core method in primary school mathematics. Australian Journal of Learning Difficulties, 16(1), 5–18. https://doi.org/https://doi.org/10.1080/19404158.2011.563475
  56. Wijaya, A., van den Heuvel-Panhuizen, M., & Doorman, M. (2015). Teachers’ teaching practices and beliefs regarding context-based tasks and their relation with students’ difficulties in solving these tasks. Mathematics Education Research Journal, 27(4), 637–662. https://doi.org/10.1007/s13394-015-0157-8
  57. Wijnen, M., Loyens, S., Smeets, G., Kroeze, M., & van der Molen, H. (2017). Students’ and teachers’ experiences with the implementation of problem-based learning at a university law school. Interdisciplinary Journal of Problem-Based Learning, 11(2). https://doi.org/https://doi.org/10.7771/1541-5015.1681
  58. Yeo, J. B. (2017). Development of a framework to characterise the openness of mathematical tasks. International Journal of Science and Mathematics Education, 15(1), 175–191. https://doi.org/https://doi.org/10.1007/s10763-015-9675-9
  59. Zaslavsky, O., & Sullivan, P. (2011). Constructing knowledge for teaching secondary mathematics: Tasks to enhance prospective and practicing teacher learning. Springer. https://doi.org/https://doi.org/10.1007/978-0-387-09812-8