Multivariable Analysis Methods On Identifying Factors and Groups of Students in the Environment of the Discovery Learning/Constructivistic Approach Using Cognitive Tools

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  •   Konstantinos Korres

Abstract

This paper studies the environment of the discovery learning/constructivistic approach using cognitive tools regarding students’ performance in tests involving different kinds of learning and in the final formal examinations and students’ attitudes towards the approach in Mathematics’ higher education. In particular the paper aims in identifying factors regarding students’ scores and attitudes affected by the approach and groups of students with similar characteristics based on these factors. Data was obtained by a study realized at the Department of Statistics and Insurance Sciences of the University of Piraeus, concerning the application of the discovery learning/constructivistic approach using Mathematica on the course Calculus (Functions of multiple variables). Multivariable analysis methods are used in the data analysis, in particular factor analysis in identifying factors and cluster analysis in identifying groups of students with similar characteristics, in combination with inferential statistics’ methods. The statistical package SPSS was used for the data analysis.


Keywords: Discovery Learning/Constructivistic Approach, Cognitive Tools, Factor Analysis, Cluster Analysis

References

[1] K. Korres, “Students’ Attitudes towards Discovery Learning / Constructivistic Approach using Computers as Cognitive Tools in Higher Mathematics Education”, EJERS, European Journal of Engineering Research and Science Special Issue: CIE 2017, 2018.
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[7] K. Korres, “Discovery learning – constructivistic approach using Mathematica as a cognitive tool: Which form of application is more effective in university Mathematics’ courses?”, MIBES Transactions, 11(1), 2017, p. 48-62.
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[10] J. C. F. De Winter, D. Dodou and P. A. Wieringa, “Exploratory Factor Analysis with Small Sample Sizes”, Multivariate Behavioral Research, 44 (2), 2009, p. 147-181.

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How to Cite
[1]
Korres, K. 2019. Multivariable Analysis Methods On Identifying Factors and Groups of Students in the Environment of the Discovery Learning/Constructivistic Approach Using Cognitive Tools. European Journal of Engineering and Technology Research. CIE (Apr. 2019), 7-12. DOI:https://doi.org/10.24018/ejers.2019.0.CIE.1289.