Teachers’ Knowledge of Children’s Mathematical Development

Mery Noviyanti


This research was conducted due to the importance value of mathematics for early childhood and the fact some researches showed the early childhood education (ECE) teachers' low level of basic mathematical knowledge, especially the one related to childhood developmental stages. The participants of this research were 35 ECE teachers from one of the cities in West Java province with teaching experience approximately ten years. In this research, 30 minutes was given to the participants to solve 20 questions, which tested teachers' knowledge related to verbal counting sequence, counting, the ordinal number of words, addition/subtraction, divisions of sets, written number symbols, and words. Besides, the interview was conducted to get more in-depth information from the participants. The quantitative descriptive analysis was used to identify the frequency, percentage, mean value, and standard deviation. The result of the research showed that ECE teachers had limited knowledge of children's mathematical development. It was revealed by the result of the mean value of the teachers’ responses, which were only 33% correct answers and 16% no idea answers. This result can become input for the stakeholders to hold a professional development program which aims to increase the quality of ECE teachers related to mathematical development activity.


Teachers’ Knowledge, Children’s Mathematical Development


Baroody, A. J., Lai, M.-l. and Mix, K. S. The development of young children’s early number and operation sense and its implications for early childhood education. Handbook of research on the education of young children, 2 (2006), 187-221.

Seo, K.-H. and Ginsburg, H. P. What is developmentally appropriate in early childhood mathematics education? Lessons from new research. Engaging young children in mathematics: Standards for early childhood mathematics education (2004), 91-104.

Lee, J. S. and Ginsburg, H. P. Early childhood teachers' misconceptions about mathematics education for young children in the United States. Australasian Journal of Early Childhood, 34, 4 (2009), 37-46.

Ginsburg, H. P. and Ertle, B. Knowing the mathematics in early childhood mathematics. Contemporary perspectives on mathematics in early childhood education (2008), 45-66.

NRC, N. R. C. Mathematics learning in early childhood: Paths toward excellence and equity. National Academies Press, 2009.

Sarama, J. and Clements, D. H. Early childhood mathematics education research: Learning trajectories for young children. Routledge, 2009.

NCTM, N. C. o. T. o. M. Executive Summary Principles and Standards for School Mathematics. City, 2017.

NAEYC, N. A. f. t. E. o. Y. C. and NCTM, N. C. o. T. o. M. Early Childhood Mathematics: Promoting Good Beginnings 2010.

Nguyen, T., Watts, T. W., Duncan, G. J., Clements, D. H., Sarama, J. S., Wolfe, C. and Spitler, M. E. Which preschool mathematics competencies are most predictive of fifth grade achievement? Early childhood research quarterly, 36 (2016), 550-560.

Clements, D. H., Sarama, J. and DiBiase, A.-M. Engaging young children in mathematics: Standards for early childhood mathematics education. Routledge, 2003.

Clements, D. H. and Sarama, J. Learning and teaching early math: The learning trajectories approach. Routledge, 2014.

Clements, D. H., Fuson, K. C. and Sarama, J. The research-based balance in early childhood mathematics: A response to Common Core criticisms. Early Childhood Research Quarterly, 40 (2017), 150-162.

Clements, D. H. Curriculum research: Toward a framework for" research-based curricula". Journal for Research in Mathematics Education (2007), 35-70.

Vygotsky, L. S. Mind in society. M. Cole, V. John-Steiner, S. Scribner, & E. Souberman, Eds.

, 1978.

Vygotsky, L. S. Thought and language-Revised edition, 1986.

Vygotsky, L. S. Play and Its Role in the Mental Development of the Child. Soviet Psychology, 5, 3 (2014), 6-18.

Hebe, H. N. Towards a Theory–driven Integration of Environmental Education: The Application of Piaget and Vygotsky in Grade R. International Journal of Environmental and Science Education (2017).

DeVries, R. Vygotsky, Piaget, and education: A reciprocal assimilation of theories and educational practices. New ideas in Psychology, 18, 2-3 (2000), 187-213.

Derry, J. Vygotsky-Philosophy and Education. Wiley Blackwell, 2013.

Berger, M. Vygotsky's Theory of Concept Formation and Mathematics Education. International Group for the Psychology of Mathematics Education, 2 (2005), 153-160.

Vygotsky, L. S. Concrete human psychology. Soviet psychology, 27, 2 (1989), 53-77.

Shabani, K. J. C. e. Applications of Vygotsky’s sociocultural approach for teachers’ professional development, 3, 1 (2016), 1252177.

Kozulin, A., Gindis, B., Ageyev, V. S. and Miller, S. M. Vygotsky's educational theory in cultural context. Cambridge University Press, 2003.

McCool, J. K. Measurement learning trajectories: A tool for professional development. Illinois State University, 2009.

Platas, L. M. Measuring teachers' knowledge of early mathematical development and their beliefs about mathematics teaching and learning in the preschool classroom. University of California, Berkeley, 2008.


Carpenter, T. P., Fennema, E., Franke, M. L., Levi, L. and Empson, S. B. Cognitively Guided Instruction: A Research-Based Teacher Professional Development Program for Elementary School Mathematics. Research Report (2000).

Schifter, D. and Riddle, M. Teachers become investigators of students' ideas about math. The Learning Professional, 25, 4 (2004), 28.

Jordan, N. C., Kaplan, D., Nabors Oláh, L. and Locuniak, M. N. Number sense growth in kindergarten: A longitudinal investigation of children at risk for mathematics difficulties. Child development, 77, 1 (2006), 153-175.

Baumert, J., Kunter, M., Blum, W., Brunner, M., Voss, T., Jordan, A., Klusmann, U., Krauss, S., Neubrand, M. and Tsai, Y.-M. Teachers’ mathematical knowledge, cognitive activation in the classroom, and student progress. American educational research journal, 47, 1 (2010), 133-180.