Predicting Student Grades Based on Their Usage of LMS Moodle Using Petri Nets
Abstract
:1. Introduction
2. Related Work
The Basic Concept of Petri Nets
- P = {p1,p2,…,pm} is a finite set of places. A place represents a circle, such as p1,p2 and p3 in Figure 1.
- T = {t1,t2,…,tn} is a finite set of transitions. A transition represents a bar, such as t1 in Figure 1. The intersection of P and T is an empty set, while the union of P and T is not an empty set, i.e., P∩T = ∅ and T∪P ≠ ∅.
- A⊆(PxT)∪(TxP) is a set of arcs connecting places and transitions, such as the arrowhead from p1 to t1 depicted in Figure 1.
- W:A→{1,2,3,…} is a weight function, whose weight value is positive integers. Arcs, i.e., arrowhead, are labeled with weights. For example, in Figure 1, the arrowhead from t1 to p3, which is labeled with “2”, is denoted as W(t1,p3) = 2. When the weight is unity and/or “1”, the label of arc is usually omitted, e.g., W(p1,t1) = 1 is omitted in Figure 1.
- M0:P→{0,1,2,3,…} is the initial marking. If there are k tokens inside place pi, it is said that pi is marked with k tokens. For example, in Figure 1a, p1 is marked with one token, which is denoted as M(p1) = 1. p2 is marked with two tokens, which is denoted as M(p2) = 2. If Figure 1a is the initial status, the initial marking is denoted as M0(p1,p2,p3) = {1,2,0}.
3. Materials and Methods
- A design of student behavior models in a virtual learning environment, i.e., study of materials in individual parts of the course, models of logical functions, loop models, condition models, deadlocks, etc. that could simulate the student behavior in the virtual education system and its subsequent rating.
- After creating the appropriate educational models, it was possible to create a new e-course and test it with the models created for the e-course.
- A creation of an e-course from the proposed Petri Network models.
- After result evaluation of the real e-course using models designed for the e-course, it was possible to find out which parts of the e-course were most used for study and especially which parts contributed the most to the better grades of the students.
3.1. Modeling Uncertainty with Petri Nets
3.2. Observing Student Movement in LMS
- Time
- User name
- Affected user
- Event context
- Component
- Event name
- Description
- Source
- IP
4. Results and Discussion
4.1. Model of the Final Exam in Petri Nets
4.2. Model of Grade Prediction
5. Conclusions
Author Contributions
Acknowledgments
Conflicts of Interest
References
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Visits | 0..4 | 5..12 | 13 | 14..17 | 18..29 | 30..56 |
Students | 22 | 18 | 6 | 2 | 6 | 4 |
A | 0 | 5 | 2 | 0 | 2 | 4 |
B | 2 | 1 | 2 | 0 | 4 | 0 |
C | 6 | 4 | 1 | 2 | 0 | 0 |
D | 4 | 1 | 1 | 0 | 0 | 0 |
E | 6 | 1 | 0 | 0 | 0 | 0 |
FX | 4 | 0 | 0 | 0 | 0 | 0 |
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Balogh, Z.; Kuchárik, M. Predicting Student Grades Based on Their Usage of LMS Moodle Using Petri Nets. Appl. Sci. 2019, 9, 4211. https://doi.org/10.3390/app9204211
Balogh Z, Kuchárik M. Predicting Student Grades Based on Their Usage of LMS Moodle Using Petri Nets. Applied Sciences. 2019; 9(20):4211. https://doi.org/10.3390/app9204211
Chicago/Turabian StyleBalogh, Zoltán, and Michal Kuchárik. 2019. "Predicting Student Grades Based on Their Usage of LMS Moodle Using Petri Nets" Applied Sciences 9, no. 20: 4211. https://doi.org/10.3390/app9204211
APA StyleBalogh, Z., & Kuchárik, M. (2019). Predicting Student Grades Based on Their Usage of LMS Moodle Using Petri Nets. Applied Sciences, 9(20), 4211. https://doi.org/10.3390/app9204211