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CAUSAL SEM OF MATHEMATICAL COMPETENCES IN TEACHER EDUCATION

Year 2016, Volume: 4 , 117 - 122, 01.09.2016

Abstract

In this paper, authors defined mathematical
competences in teacher education. The basic objective was to measure the
mathematical competence or mathematical knowledge, skills and abilities in
mathematical education. Mathematical competences were grouped in following
areas:

Basic mathematical competences, Arithmetic
competences, Functions competences, Combinatory competences, Geometry
competences. Statistical set for the research consisted of 80 students from the
Faculty of Teacher Education, University of Zagreb, Croatia. Authors had 17
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 students in teacher education. This paper is a result of our previous
research on causal modeling of mathematical competences in kindergarten (Tepeš
at. all. 2013, 2014 and 2015) and in elementary education.

References

  • 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 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, 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, 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/
Year 2016, Volume: 4 , 117 - 122, 01.09.2016

Abstract

References

  • 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 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, 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, 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/
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Details

Journal Section Articles
Authors

Božidar Tepeš This is me

Marija Jurıčıć Devčıć This is me

Maja Katarina Tomıć This is me

Krunoslav Tepeš This is me

Publication Date September 1, 2016
Published in Issue Year 2016 Volume: 4

Cite

APA Tepeš, B., Jurıčıć Devčıć, M., Tomıć, M. K., Tepeš, K. (2016). CAUSAL SEM OF MATHEMATICAL COMPETENCES IN TEACHER EDUCATION. The Eurasia Proceedings of Educational and Social Sciences, 4, 117-122.