A Learning Outcomes Assessment Analysis based on the Mathematical Modeling of RaschGSP Curve, GSM and MSM

Abstract

This paper presents an educational praxis of classroom assessment in curriculum and learning outcomes of “Introduction to Education”, and constructs assessment tool and analyzes them based on the mathematical modeling, the former with Q Matrix and ISM (Interpretive Structural Modeling), the latter mainly with Nagai’s GSP (Grey S-P) Chart, RaschGSP Curve, GSM (Grey Structural Modeling) and MSM (Matrix Based Structure Modeling). It aims: (1) To use and implement numerical value as the code for processing data, (2) To analyze and diagnose based on raw numerical values, (3) To illustrate and explain in visual diagraph analysis. Moreover, it is worth mentioning that applying mathematical logic in educational research, and such tools are not in favor of the quantitative approach, rather claimed unique feature of math logic, in benefit to: (1) Interface qualitative contextual analysis and quantitative numerical characters as the whole, (2) Convert teaching-learning praxis into binary numerical data, (3) Address alternative interdisciplinary educational research.

Supplier selection in Telecom supply chain management: a Fuzzy-Rasch based COPRAS-G method

“…Since the development of Rasch model, it has been used for evaluating the values of item and person parameters shown below (Ho et al 2016). Rasch model combined with Fuzzy Logic model of Perception (FLMP) gives far better result than those of fuzzy logic and utilizing fuzzy theory to score psychological measurement seems feasible.…”

“…-Peng et al (2013) applied Rasch model in data envelopment analysis (DEA) to analyse the performance of international tourist hotels located at seven district of Taiwan. -Ho et al (2016) constructed a learning outcome assessment tool to analyse curriculum and learning outcomes based on Rasch GSP curve, GSM (Grey Structural Modelling) and MSM (Matrix Based Structure Modelling).…”

Factor analysis of teacher professional development and evaluation based on math methods of RaschGSP curve, ISM, GSM and MSM

“…RaschGSP Curve has been shown: 1) To measure examinees' competence and calibrate items response quality effectively; 2) To visualize characteristic curve of sets of students and problems accurately; 3) To fit problem-solving small sample sizes with nonparametric methods mathematically. [15] The logistic regression model used in Rasch GSP method is the three parameters logistic model. Its mathematical formula is described as follows:…”