CAUSAL SEM OF MATHEMATICAL COMPETENCES IN ELEMENTARY EDUCATION

Yıl 2016, Cilt: 4 , 101 - 108, 01.09.2016

Božidar Tepeš İvan Mrkonjıć Gordana Paıć Krunoslav Tepeš

Öz

In this paper, authors defined mathematical
competences for 7^th year elementary school. The basic objective was
to measure the mathematical competence or mathematical knowledge, skills and
abilities in mathematical educations. Mathematical competences were grouped in
following areas:
Algebra and functions, Space and shapes, Measurements and Data.  Statistical set
for the research consisted of 48 children from the Elementary school Dr. Ivan
Merz in Zagreb, Croatia. Authors had 15 measuring variables together with the
evaluated results of described tasks. With statistical set with
variables as measured mathematical competences the authors make the causal
structural equation model (SEM) of mathematical competences. The authors use
free software Tetrad 5.2.1-3 (Tetrad project 2015). In the results we describe
structural equations between the mathematical competitions for 7^th
year elementary school children. This paper is a result of our previous
research on causal modeling of mathematical competences in kindergarten (Tepeš
at. all. 2013, 2014 and 2015)

Anahtar Kelimeler

mathematical competences, structural equation model and causal model

Kaynakça

• Boolen, K. A. (2007). An Overview of Equation Models with Latent Variables, Miami University Symposium on Computational Research, March 1-2, 1-51, http://www.units.miamioh.edu/cacr/activities/documents/LatentVariable-tutorial.pdf Hyarinen, A. and Oja, E. (2000). Independent Component Analysis: Algorithms and Applications, Neural Networks, 13(4-5): 411-430 National Curriculum Framework for Pre-school Education and General Compulsory and Secondary Education, (2011), Ministry of Science, Education and Sport of the Republic of Croatia, http://public.mzos.hr/Default.aspx?sec=2497 Paić G., Bošnjak Ž., Čulina B. (2014). Mathematical challenges 7 – textbook with workbook, Alfa, Zagreb, (Croatian), http://www.alfa.hr/artikl/info/53aba7930c45d9da18000850#list-top Paić G., Bošnjak Ž., Čulina B. (2014). Mathematical challenges 7 – worksheets, Alfa, Zagreb, (Croatian), http://www.alfa.hr/artikl/info/4fa0a1d93988ccee67000033#list-top Paić G., Bošnjak Ž., Čulina B. (2014). Mathematical challenges 7 – tests, Alfa, Zagreb Pearl, J. (2000) Causality: Models, Reasoning, and Inference, Cambridge University Press Scheines, R., Ramsey, J., Spirters, P. and Glymor, C. (2015). Causal Model Search, Gentle introduction to Tetrad, http://www.phil.cmu.edu/tetrad/ Shimizu, S. (2014). LiNGAM: Non-Gaussian Methods for Estimating Causal Structures, Behaviormetrika 41(1), 65-98 Tepeš, B. (2009), Statistical Models on Graphs (Croatian). Faculty of Humanities and Social Sciences, bozidartepes.net/ Tepeš, B., Lešin, G & Hrkač,A. (2013). Causal Modelling in Mathematical Education, The 1st International Conference on “Research and Education - Challenges Towards the Future, Schroder, Albania, www.unishk.edu.al./Pub.html Tepeš, B., Šimović V. and Tepeš, K.(2014). Causal Model of Mathematical Competences in Kindergarten, International Teacher Education Conference 2014, Proceeding Book, pp. 102 – 107, UAE Dubai http://www.ite-c.net Tepeš, B., Šimović V. and Tepeš, K. (2015). A Note on Modeling of Mathematical Competences, 14th Hawaii International Conference on Education 2015, Proceeding Book, USA Hawaii, www.hiceducation.org, The Tetrad Project (2015), Launch Tetrad 5.2.1-3, www.phil.cmu.edu/tetrad/