GeoGebra Geometry Software Evaluation Case Study Using the MUSA Mathematical Model

Volume 8, Issue 4, August 2023     |     PP. 107-129      |     PDF (1616 K)    |     Pub. Date: September 18, 2023
DOI: 10.54647/mathematics110425    75 Downloads     163099 Views  

Author(s)

Nikolaos Manikaros, PhD Candidate University of the Aegean, Faculty of Humanities, Pedagogical Department of Primary Education,Greece
Evgenios Avgerinos, Professor, University of the Aegean, Faculty of Humanities, Pedagogical Department of Primary Education, Greece
Roza Vlachou, Dr, University of the Aegean, Faculty of Humanities, Pedagogical Department of Primary Education,Greece

Abstract
In this work and in the context of the preparation of the Doctoral Dissertation on the subject "Study of Mathematical Modeling for Creation and Mining of Knowledge with the aim of producing new Evaluation Models - Certification of Resource Management Criteria with the help of IT, conducting a Comparative Study and Application for the Cases: a) In Education Organizations and b) In Self-Government Organizations” will be presented part of the research conducted with a questionnaire sent to 50 respondents, who rated the criteria of the GeoGebra educational Geometry Software. results were entered into the advanced MUSA Mathematical Model, where the criteria-variables were evaluated by drawing conclusions and improvement actions.

Keywords
Evaluation Model, MUSA, GeoGebra.

Cite this paper
Nikolaos Manikaros, Evgenios Avgerinos, Roza Vlachou, GeoGebra Geometry Software Evaluation Case Study Using the MUSA Mathematical Model , SCIREA Journal of Mathematics. Volume 8, Issue 4, August 2023 | PP. 107-129. 10.54647/mathematics110425

References

[ 1 ] Aguirre, J. and Speer, N. (2000). Examining the relationship between beliefs and goals in teacher practice. Journal of Mathematical Behavior , 18(3), 327-356.
[ 2 ] Angilella, S., Corrente, S., Greco, S., & Słowi´nski, R. (2014). MUSA-INT: Multicriteria customer satisfaction analysis with interacting criteria. Omega , 42 (1), 189–200.
[ 3 ] Aouadni I., Abdelwaheb R., Christodoulakis N., Siskos Y. (2014) Job satisfaction measurement: The multi-criteria satisfaction analysis. International Journal of Applied Decision Sciences, 7(2), 867-885
[ 4 ] Aouadni, I., & Rebai, A. (2017). Decision support system based on genetic algorithm and multi-criteria satisfaction analysis (MUSA) method for measuring job satisfaction. Annals of Operations Research , 256 (1), 3-20.
[ 5 ] Arqub, OA, & Abo-Hammour, Z. (2014). Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm. Information Sciences , 279 , 396–415.
[ 6 ] Babaii, E. & Damankesh, M. (2015). On students' test-taking and test-preparation strategies. Studies in Educational Evaluation, 45, 62-69.
[ 7 ] Black, P. and William, D. (2009). Developing the theory of formative assessment. Educational Assessment, Evaluation and Accountability, 21(1), 5-31.
[ 8 ] Black, P., & Williams, D. (1998). Inside the black box: Raising standards through classroom assessment. Phi Delta Kappan , 80(2), 139-148.
[ 9 ] Brown, M. and Reifel, R. (2009). Social contexts of early education, and reconceptualizing play . Bingley: Emerald Group Publishing Limited.
[ 10 ] Clark, T. (2007). Digital Learners: A Moodle Environment to Promote Life-Long Learning. In C. Crawford et al. (Eds.), Proceedings of Society for Information Technology and Teacher Education International Conference 2007, Chesapeake, VA: AACE, pp. 267-272.
[ 11 ] Clarke, A. (1996). Professional development in practicum settings: Reflective practice under scrutiny. Teaching and Teacher Education , 11, 243–261.
[ 12 ] Drier, HS (2001). Beliefs, experiences, and reflections that affect the development of techno-mathematical knowledge . Paper presented at the Society for Information Technology and Teacher Education, Orlando, FL.
[ 13 ] Dugdale, C. (1999). The role of electronic reserves in serving and shaping new teaching and learning environments in UK universities. Journal of Information Science , 25 (3), 183–192. https://doi.org/10.1177/016555159902500302
[ 14 ] Duncan, CR, & Noonan, B. (2007). Factors affecting teachers' grading and assessment practices. The Alberta Journal of Educational Researc h, 53(1), 1-21.
[ 15 ] Duncan, LG, Coatsworth, JD, & Greenberg, MT (2009). Pilot study to gauge acceptability of a mindfulness-based, family-focused preventive intervention. The Journal of Primary Prevention , 30(5), 18-25.
[ 16 ] Finzer, W., & Jackiw, N. (1998). Dynamic manipulation of mathematical objects . White paper presented to the NCTM 2000 Electronic Format Group. http://www.dynamicgeometry.com/documents/recentTalks/s2k/DynamicManipulation.doc .
[ 17 ] Gotch, C. & French, B. (2011). Development of and validity evidence for the teacher educational measurement literacy scale. Paper presented at the annual meeting of the national council on measurement in education conference. New Orleans, LA.
[ 18 ] Griffiths, V. (2006). Book reviews. Review of Professional values and practice: meeting the standards. Journal of Education for Teaching: International Research and Pedagogy , 32(3), 227-240.
[ 19 ] Grigoroudis, E., & Siskos, Y. (2002). Preference disaggregation for measuring and analyzing customer satisfaction: The MUSA method. European Journal Operational Research , 143 , 148–170.
[ 20 ] Grigoroudis, E., & Siskos, Y. (2009). Customer satisfaction evaluation: Methods for measuring and implementing service quality (Vol. 139). Berlin: Springer.
[ 21 ] Grigoroudis, E., Siskos, Y., & Saurais, O. (2000). TELOS: A customer satisfaction evaluation software. Computers & Operations Research , 27(7), 799-817.
[ 22 ] Guskey, TR (2003). How classroom assessments improve learning. Educational Leadership , 60(5), 6-11.
[ 23 ] Harlen, W. (2005). Teachers' summative practices and assessment for learning - tensions and synergies. The Curriculum Journal , 16 (2), 207-223.
[ 24 ] Hokanson, B., & Hooper, S. (2000). Computers as cognitive media: Examining the potential of computers in education. Computers in Human Behavior , 16 (5), 537-552. https://doi.org/10.1016/S0747-5632(00)00016-9
[ 25 ] João, IM, e Costa, CAB, & Figueira, JR (2010). An ordinal regression method for multicriteria analysis of customer satisfaction. In Multiple criteria decision making for sustainable energy and transportation systems (pp. 167–176). Berlin, Heidelberg: Springer.
[ 26 ] Khtou, H. (2011). Assessment in higher education: Students and teachers' perceptions . Published doctoral dissertation, Saarbrucken: Lambert academic publishing.
[ 27 ] Koilias, C., Tourna, E., & Koukouletsos, K. (2012). Job satisfaction of higher education graduates. Operational Research , 12 (3), 421–437.
[ 28 ] Leighton, Jane & Bird, Geoffrey & Orsini, Caitlin & Heyes, Cecilia. (2010). Social attitudes modulate automatic imitation. Journal of Experimental Social Psychology . 46, 905-910.
[ 29 ] Leung, Allen. (2008). Dragging in a Dynamic Geometry Environment Through the Lens of Variation. International Journal of Computers for Mathematical Learning. 13. 135-157. 10.1007/s10758-008-9130-x.
[ 30 ] Liu, XS, & Ramsey, J. (2008). Teachers' job satisfaction: Analyzes of the teacher follow-up survey in the United States for 2000-2001. Teaching and Teacher Education , 24, 1173-1184.
[ 31 ] Liu, XS, Mengqiao H., Fang G., Peihong X. (2008). An empirical study of online shopping customer satisfaction in China: a holistic perspective , International Journal of Retail & Distribution Management, 36(11), 919-940
[ 32 ] Pitta-Pantazi, D., & Christou, C. (2009). Cognitive Styles, Dynamic Geometry and Measurement Performance. Educational Studies in Mathematics , 70 (1), 5–26. http://www.jstor.org/stable/40284556
[ 33 ] Remesal, A. (2006). Problem solving in assessment practices of mathematics education in compulsory school: Ideas of teachers and pupils , Doctoral thesis, University of Barcelona, Barcelona, Spain.
[ 34 ] Roopa, S., & Rani, MS (2012). Questionnaire designing for a survey. The Journal of Indian Orthodontic Society , 46 (4), 273–277.
[ 35 ] Siskos, Y , Kyriazopoulos, P., Yannacopoulos, D., Spyridakos, A.,., & Grigoroudis, E. (2007). Implementing internal marketing through employee's motivation. In POMS Conference .
[ 36 ] Siskos, Y., & Grigoroudis, E. (2010). New trends in aggregation-disaggregation approaches. Handbook of Multicriteria Analysis, 189-214.
[ 37 ] Vaden-Goad, RE (2009). Leveraging summative assessment for formative purposes. College Teaching , 57 (3), 153-155.
[ 38 ] Van De Panne, C. (1975). A node method for multi-parametric linear programming. Management Science , 21 (9), 1014–1020.
[ 39 ] Z afeiropoulos , K. (2015). How to do a scientific paper: Scientific research and paper writing (2nd ed.). Athens: Kritiki Publications.