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Lu, Xiaoli; Kaiser, Gabriele – Educational Studies in Mathematics, 2022
Modelling competencies are currently included in numerous curricula worldwide and are generally accepted as a complex, process-oriented construct. Therefore, effective measurement should include multiple dimensions, like the sub-competencies required throughout the modelling process. Departing from the characteristics of modelling problems as open…
Descriptors: Mathematical Models, Mathematics Skills, Creativity, Problem Solving
Xian, Sidong; Xia, Haibo; Yin, Yubo; Zhai, Zhansheng; Shang, Yan – Cogent Education, 2016
Teaching quality is the lifeline of the higher education. Many universities have made some effective achievement about evaluating the teaching quality. In this paper, we establish the Students' evaluation of teaching (SET) discriminant analysis model and algorithm based on principal component clustering analysis. Additionally, we classify the SET…
Descriptors: Discriminant Analysis, Factor Analysis, Student Evaluation of Teacher Performance, Instructional Effectiveness

D'Costa, Ayres – Mid-Western Educational Researcher, 1991
Introduces Rene Thom's catastrophe theory, which is based upon complex theorems in multidimensional geometry. Catastrophe theory analysis begins by identifying the occurrence of major discontinuities, or catastrophes, in a system such as civil service exams, resulting in catastrophic change. (KS)
Descriptors: Geometric Constructions, Heuristics, Mathematical Models, Measurement Techniques

D'Costa, Ayres – Mid-Western Educational Researcher, 1991
Analyzes the evolution of Chinese national examinations with the "catastrophe" model. Goals, content, form, and process of exams were influenced by social and political forces. Competence over 4,000 years of Chinese history was defined as military prowess, Confucian-style scholarship, Western-style military expertise, proletarian…
Descriptors: Asian History, Foreign Countries, Mathematical Models, Measurement Techniques