Abstract

Conclusion.  Improving ECE teachers' MKT requires targeted training, better resources, and focused professional development. The contribution of this research is that it can improve the quality of mathematics teaching in ECE and support children's mathematics achievements in the future.

Keywords: mathematical knowledge for teaching, early childhood education teachers, professional development program

Aguirre, J. M., Turner, E. E., Bartell, T. G., Kalinec-Craig, C., Foote, M. Q., Roth McDuffie, A., & Drake, C. (2013). Making connections in practice: how prospective elementary teachers connect to children’s mathematical thinking and community funds of knowledge in mathematics instruction. Journal of Teacher Education, 64(2), 178-192. https://doi.org/10.1177/0022487112466900

Ali, C. A., Asemani, E., & Tangkur, M. (2024). Pupils’ didactical Mileu in an inclusive discourse in basic triangle geometry. International Journal of Didactic Mathematics in Distance Education, 1(2), 70-82. https://doi.org/10.33830/ijdmde.v1i2.9523

Ball, D. L., & Bass, H. (2003). Toward a practice-based theory of mathematical knowledge for teaching. Annual Meeting of the Canadian Mathematics Education Study Group.

Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? In Journal of Teacher Education, 59(5), 389-407. https://doi.org/10.1177/0022487108324554

Baumert, J., Kunter, M., Blum, W., Brunner, M., Voss, T., Jordan, A., Klusmann, U., Krauss, S., Neubrand, M., & Tsai, Y. M. (2010). Teachers’ mathematical knowledge, cognitive activation in the classroom, and student progress. American Educational Research Journal, 47(1), 133-180. https://doi.org/10.3102/0002831209345157

Björklund, C., & Ahlskog-Björkman, E. (2017). Approaches to teaching in thematic work: early childhood teachers’ integration of mathematics and art. International Journal of Early Years Education, 25(2), 1-14. https://doi.org/10.1080/09669760.2017.1287061

Björklund, C., & Barendregt, W. (2016). Teachers’ pedagogical mathematical awareness in Swedish early childhood education. Scandinavian Journal of Educational Research, 60(3), 359–377. https://doi.org/10.1080/00313831.2015.1066426

Björklund, C., van den Heuvel-Panhuizen, M., & Kullberg, A. (2020). Research on early childhood mathematics teaching and learning. ZDM - Mathematics Education, 52(4), 607-619. https://doi.org/10.1007/s11858-020-01177-3

Briggs, M. (2018). Mathematics in the early years: a bolder start. FORUM, 60(3), 317-326. https://doi.org/10.15730/forum.2018.60.3.317

Carpenter, T. P., Fennema, E., & Franke, M. L. (1996). Cognitively guided instruction: a knowledge base for reform in primary mathematics instruction. Elementary School Journal, 97(1), 3–20. https://doi.org/10.1086/461846

Cerezci, B. (2020). Measuring the quality of early mathematics instruction: A review of six measures. Early Childhood Education Journal, 48(4), 507-520. https://doi.org/10.1007/s10643-019-01013-8

Chen, S., & McDunn, B. A. (2022). Metacognition: History, measurements, and the role in early childhood development and education. Learning and Motivation, 78, 101786. https://doi.org/10.1016/j.lmot.2022.101786

Clements, D. H., Fuson, K. C., & Sarama, J. (2017). What is developmentally appropriate teaching? Teaching Children Mathematics, 24(3), 178–188. https://doi.org/10.5951/teacchilmath.24.3.0178

Clements, D. H., & Sarama, J. (2011). Early childhood teacher education: The case of geometry. Journal of Mathematics Teacher Education, 14(2), 133–148. https://doi.org/10.1007/s10857-011-9173-0

Cockcroft, K. (2015). The role of working memory in childhood education: Five questions and answers. South African Journal of Childhood Education, 5(1), 1-18. https://doi.org/10.4102/sajce.v5i1.347

Drever, A. I., Odders-White, E., Kalish, C. W., Else-Quest, N. M., Hoagland, E. M., & Nelms, E. N. (2015). Foundations of financial well-being: Insights into the role of executive function, financial socialization, and experience-based learning in childhood and youth. Journal of Consumer Affairs, 49(1), 13–38. https://doi.org/10.1111/joca.12068

Dunphy, E. (2009). Early childhood mathematics teaching: challenges, difficulties and priorities of teachers of young children in primary schools in Ireland. International Journal of Early Years Education, 17(1), 3-16. https://doi.org/10.1080/09669760802699829

Efwan, N. S., Afriansyah, E. A., Luritawaty, I. P., Arwadi, F., & Yadav, D. K. (2024). The Level of students’ mathematical creative thinking skills as measured by their self-confidence. International Journal of Didactic Mathematics in Distance Education, 1(2), 125–136. https://doi.org/10.33830/ijdmde.v1i2.9355

Ekmekci, A., Corkin, D. M., & Fan, W. (2019). A multilevel analysis of the impact of teachers’ beliefs and mathematical knowledge for teaching on students’ mathematics achievement. Australian Journal of Teacher Education, 44(12), 57-80. https://doi.org/10.14221/ajte.2019v44n12.4

Falletta, S. V. (1998). Book review: evaluating training programs: the four levels. American Journal of Evaluation, 19(2), 259 – 279. https://doi.org/10.1177/109821409801900215

Fatihah, J. J., Sudirman, S., & Mellawaty, M. (2023). Improving geometric thinking skills through learning cycles assisted by interactive geometry books. International Journal of Mathematics and Sciences Education, 1(2), 81–85. https://doi.org/10.59965/ijmsed.v1i2.74

Fives, H., & Buehl, M. M. (2008). What do teachers believe? Developing a framework for examining beliefs about teachers’ knowledge and ability. Contemporary Educational Psychology, 33(2), 134–176. https://doi.org/10.1016/j.cedpsych.2008.01.001

Gasteiger, H., Bruns, J., Benz, C., Brunner, E., & Sprenger, P. (2020). Mathematical pedagogical content knowledge of early childhood teachers: a standardized situation-related measurement approach. ZDM - Mathematics Education, 52(2), 193–205. https://doi.org/10.1007/s11858-019-01103-2

Gess-Newsome, J., Taylor, J. A., Carlson, J., Gardner, A. L., Wilson, C. D., & Stuhlsatz, M. A. M. (2019). Teacher pedagogical content knowledge, practice, and student achievement. International Journal of Science Education, 41(7), 944-963. https://doi.org/10.1080/09500693.2016.1265158

Gifford, S. (2004). A new mathematics pedagogy for the early years: In search of principles for practice. International Journal of Early Years Education, 12(2), 99-115. https://doi.org/10.1080/0966976042000225507

Ginsburg, H. P., Lee, J. S., & Boyd, J. S. (2008). Mathematics education for young children: what it is and how to promote it. Social Policy Report, 22(1), 1-23. https://doi.org/10.1002/j.2379-3988.2008.tb00054.x

Hachey, A. C. (2013). The early childhood mathematics education revolution. Early Education and Development, 24(4), 419-430. https://doi.org/10.1080/10409289.2012.756223

Kermani, H., & Aldemir, J. (2015). Preparing children for success: integrating science, math, and technology in early childhood classroom. Early Child Development and Care, 185(9), 1504-1527. https://doi.org/10.1080/03004430.2015.1007371

Kilday, C. R., & Kinzie, M. B. (2009). An analysis of instruments that measure the quality of mathematics teaching in early childhood. Early Childhood Education Journal, 36(4), 365–372. https://doi.org/10.1007/s10643-008-0286-8

Kim, S. (2018). Technological, pedagogical, and content knowledge (TPACK) And beliefs of preservice secondary mathematics teachers: examining the relationships. Eurasia Journal of Mathematics, Science and Technology Education, 14(10), em1590. https://doi.org/10.29333/ejmste/93179

Kim, Y., Sherraden, M., Huang, J., & Clancy, M. (2015). Child development accounts and parental educational expectations for young children: Early evidence from a statewide social experiment. Social Service Review, 89(1), 99–137. https://doi.org/10.1086/680014

Kirkpatrick, D. L., & Kirkpatrick, J. D. (2006). Evaluating Training Programs: The Four Levels (3rd ed.). San Francisco, CA: Berrett-Koehler Publishers, Inc.

Krippendorff, K. (2018). Content analysis: An introduction to its methodology. Sage publications. https://doi.org/10.4135/9781071878781 

Kuntze, S. (2012). Pedagogical content beliefs: Global, content domain-related and situation-specific components. Educational Studies in Mathematics, 79(2), 273-292. https://doi.org/10.1007/s10649-011-9347-9

Leong, K. E., Meng, C. C., & Abdul Rahim, S. S. (2015). Understanding Malaysian pre-service teachers mathematical content knowledge and pedagogical content knowledge. Eurasia Journal of Mathematics, Science and Technology Education, 11(2), 363-370. https://doi.org/10.12973/eurasia.2015.1346a

Lino, D. (2016). Early childhood education: Key competences in teacher education. Educația Plus, 14(3), 7-15.

Mapolelo, D. C., & Akinsola, M. K. (2015). Preparation of mathematics teachers: lessons from review of literature on teachers’ knowledge, beliefs, and teacher education. American Journal of Educational Research, 3(4), 1-12. htpps://doi.org/10.12691/education-3-4-18

Mellawaty, M., Sudirman, S., Waluya, S. B., & Rochmad, R. (2019). Creative thinking ability on the integrating mathematical habits of mind in missouri mathematics project learning. In Journal of Physics: Conference Series (Vol. 1315, No. 1, p. 012083). IOP Publishing.

Mishra, P., Koehler, M., & Harris, J. (2009). Teachers’ technological pedagogical content knowledge and learning activity types: curriculum-based technology integration reframed. Journal of Research on Technology in Education, 41(4), 393-416. https://doi.org/10.1080/15391523.2009.10782536

Moore, S., & Cuevas, J. A. (2022). The effects of cognitively guided phonetic instruction on achievement and self-efficacy in elementary students in a response to intervention program. Journal of Pedagogical Research, 6(4), 35-49. https://doi.org/10.33902/JPR.202215063

National Council of Teachers of Mathematics (NCTM). (2000). Principles and Standards for School Mathematics. USA: NCTM

Noviyanti, M. (2020). Teachers’ knowledge of children’s mathematical development. Journal of Education and Learning, 14(3), 315-321. https://doi.org/10.11591/edulearn.v14i3.15872

Noviyanti, M. E. R. Y., & Suryadi, D. I. D. I. (2019). Basic mathematics knowledge of early childhood teachers. Journal of Engineering Science and Technology, 1, 19-27.

Noviyanti, M., Suryadi, D., Fatimah, S., & Adriany, V. (2020). Mathematics and children’s construction in early childhood education. In Early Childhood Education in the 21st Century. https://doi.org/10.1201/9780429434914-13

Papandreou, M., & Tsiouli, M. (2022). Noticing and understanding children’s everyday mathematics during play in early childhood classrooms. International Journal of Early Years Education, 30(4), 730-747. https://doi.org/10.1080/09669760.2020.1742673

Park, M. H., Dimitrov, D. M., Patterson, L. G., & Park, D. Y. (2017). Early childhood teachers’ beliefs about readiness for teaching science, technology, engineering, and mathematics. Journal of Early Childhood Research, 15(3), 730-747. https://doi.org/10.1177/1476718X15614040

Parks, A. N., & Wager, A. A. (2015). What knowledge is shaping teacher preparation in early childhood mathematics? Journal of Early Childhood Teacher Education, 36(2), 124-141.  https://doi.org/10.1080/10901027.2015.1030520

Pela, S. O., Le, N. N., Kaboro, P. G., & Nurjamil, A. (2023). Innovation of physics e-module: utilizing local wisdom of lampung’s handwritten batik in teaching heat and temperature material to foster students’ scientific attitude. Schrödinger: Journal of Physics Education, 4(4), 132–138. https://doi.org/10.37251/sjpe.v4i4.924

Piasta, S. B., Logan, J. A. R., Pelatti, C. Y., Capps, J. L., & Petrill, S. A. (2015). Professional development for early childhood educators: Efforts to improve math and science learning opportunities in early childhood classrooms. Journal of Educational Psychology, 107(2), 404-422. https://doi.org/10.1037/a0037621

Rini, R. Y., Mutaqin, M. F. T., & Fajari, L. E. W. (2023, December). Implementation of Learning with the Science Technology Engineering Art and Mathematics (STEAM) Approach in Bringing Up the Higher Order Thinking Skills (HOTS) Profile in Early Childhood. In Proceedings of the 6th International Conference on Learning Innovation and Quality Education (ICLIQE 2022) (Vol. 767, p. 80). Springer Nature.  https://doi.org/10.2991/978-2-38476-114-2_8

Sarama, J., DiBiase, A. M., Clements, D. H., & Spitler, M. E. (2003). The professional development challenge in preschool mathematics. In Engaging young children in mathematics (pp. 415-446). Routledge.

Sarwanto, S., Fajari, L. E. W., & Chumdari, C. (2020). Open-ended questions to assess critical-thinking skills in indonesian elementary school. International Journal of Instruction, 14(1), 615–630. https://doi.org/10.29333/IJI.2021.14137A

Sudirman, S., Mellawaty, M., Yaniawati, P., & Indrawan, R. (2021). Augmented reality application: What are the constraints and perceptions of the students during the covid 19 pendemic’s 3D geometry learning process?. In Journal of Physics: Conference Series (Vol. 1783, No. 1, p. 012007). IOP Publishing. https://doi.org/10.1088/1742-6596/1783/1/012007

Sudirman, S., Andrés Rodríguez-Nieto, C., Bongani Dhlamini, Z., Singh Chauhan, A., Baltaeva, U., Abubakar, A., O. Dejarlo, J., & Andriani, M. (2023). Ways of thinking 3D geometry: exploratory case study in junior high school students. Polyhedron International Journal in Mathematics Education, 1(1), 15–34. https://doi.org/10.59965/pijme.v1i1.5

Sudirman, S., García-García, J., Rodríguez-Nieto, C. A., & Son, A. L. (2024). Exploring junior high school students' geometry self-efficacy in solving 3D geometry problems through 5E instructional model intervention: A grounded theory study. Infinity Journal, 13(1), 215-232. https://doi.org/10.22460/infinity.v13i1.p215-232

Thiel, O. (2010). Teachers’ attitudes towards mathematics in early childhood education. European Early Childhood Education Research Journal, 18(1), 105-115. https://doi.org/10.1080/13502930903520090

Watts, T. W., Duncan, G. J., Clements, D. H., & Sarama, J. (2018). What is the long-run impact of learning mathematics during preschool? Child Development, 89(2), 539-555. https://doi.org/10.1111/cdev.12713

Whittaker, J. V., Kinzie, M. B., Vitiello, V., DeCoster, J., Mulcahy, C., & Barton, E. A. (2020). Impacts of an early childhood mathematics and science intervention on teaching practices and child outcomes. Journal of Research on Educational Effectiveness, 13(2), 177-212. https://doi.org/10.1080/19345747.2019.1710884

Yaniawati, P., Sudirman, S., Mellawaty, M., Indrawan, R., & Mubarika, M. P. (2023). The potential of mobile augmented reality as a didactic and pedagogical source in learning geometry 3D. Journal of Technology and Science Education, 13(1), 4-22. https://doi.org/10.3926/jotse.1661

Zaslow, M., Tout, K., Halle, T., Whittaker, J. V., & Lavelle, B. (2010). Toward the identification of features of effective professional development for early childhood educators. literature review. Office of Planning, Evaluation and Policy Development, US Department of Education.

Zhang, W., Li, L., & Disney, L. (2024). Chinese early childhood teachers’ perspectives on mathematics education in play-based contexts. Early Years, 44(3–4), 765-780. https://doi.org/10.1080/09575146.2023.2237205