Effectiveness of Concept Mapping’s Efficiency in Differential Equations

Resumen

One of the existing approaches in students’ performance evaluation is to use concept mapping. There are lots of studies indicate that concept mappings can be used to evaluate the knowledge of mathematical concepts in a useful way. The best and most comprehensive way of learning is organizing study. Organizing is an expanding meaning strategy. Concept mapping is a simple way to organize and relate information, if vaguely. Lines, words, signs, and symbols are used in concept mappings. In this study, the use of concept mappings in differential equations has been investigated. To do so, a case study of understanding differential equations unit has been conducted in 90 students from Azad University. To begin with, the students went under seven sessions of differential equations of grade one, and another group was taught differential equations in a traditional way. After that, the results obtained were evaluated using SPSS software and Mann-Whitney U test to reach the conclusion. The results indicate the effectiveness of concept mappings. The students show ability to recognize the structure of differential equations that cannot be seen in the results of a traditional teaching method. In addition, the misunderstandings in misconceptions of such structures can be revealed. Therefore, it can be recommended to use the concept maps about differential equations as a complementary assessment tool along with common written tests. 

 

 

 

 

 

 

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Biografía del autor/a

Fatemeh Moradi, Islamic Azad University

Faculty of Basic sciences, Department of Mathematics, Yadegar -e- Imam Khomeini (RAH) Shahre-Rey Branch Branch, Islamic Azad University, Tehran, Iran.

Citas

Asmari, A. A. (2013). Investigation of writing strategies, writing apprehension and writing achievement among Saudi EFL-major students. International Education Studies, 6(11). http://dx.doi.org/10.108/01463378109369412.

Ajaja, O. P. (2011). Concept Mapping as a Study Skill: Effects on Students Achievement in Biology. Int JEdu Sci, 3(1), 49-57

Ajaja, O. P. (2011). Concept Mapping as a Study Skill: Effects on Students Achievement in Biology. Int J Edu Sci, 3(1), 49-57

Ausubel, D. P., Joseph, N., & Helen, H. (1980). Psychologies des Unretracts. Wenham und Basel: Beltz Verlag

Ausubel, D. P., Novak, J. D., & Hanesian, H. (1978). Educational Psychology: A Cognitive View (2nd ed.). New York: Holt, Rinehart and Winston.

Baralos, G. (2002). Concept mapping as evaluation tool in mathematics. Paper presented at the 2nd International Conference on the Teaching of Mathematics

Boyce, W. E., DiPrima, R. C., & Mitrea, D. (2010). Elementary differential equations and boundary value problems, Wiley

Bloom, B. S. (1975). Human characteristics and school learning. McGraw-Hill

Chiu, Ch. (2008). The effect of concept mapping on students learning achievements and interests. Innovation’s in education and teaching international, 45(4), 38-53.

Chiu, C.-H. (2004). Evaluating system-based strategies for managing conflict in collaborative concept mapping. J. of Computer Assisted Learning, 20, 124-132.

Camacho, M., Perdomo, J., & Santos, M. (2012), An exploration of students’ conceptual knowledge built in a first ordinary differential equations course (part I), The Teaching of Mathematics, xv, 1-20.

Coleman, L. J. (2005). Nurturing talent in high school: Life in the fast lane. Teachers College Press New York, NY

Dahncke, H. (2008). Testing achievement with concept mapping in school physics. Conference of concept mapping Tallinn, Estonia & Helsiniki, F.

Dochy, F. J. R. C. (1996). Assessment of domain-specific and domain-transcending prior knowledge: Entry assessment and the use of profile analysis. In M. Birenbaum & F. J. R. C. Dochy (Eds.) Alternatives in assessment of achievements, learning process and prior knowledge (pp. 93-129). Boston, MA: Kluwer Academic Publishers

Duffy, T. M., & Jonassen, D. H. (1991). Constructivism: New implications for instruction technolo-gy. Educational Technology, 31(3), 7-12

Eggen, P., & Kauchak, D. (2001). Educational Psychology (5th ed). Upper Saddle River.NJ: Merril/ Prentice

Erdoğan, Y. (2017). An Investigation of the Effectiveness of Concept Mapping on Turkish Students’ Academic Success. Journal of Education and Training Studies, 4(6), 1-9

Goldsmith, T. E., Johnson, P. J., & Acton, W. H. (1991). Assessing structural Knowledge. Journal of Educational Psychology, 83(1), 88-96

Hsu, L., & Hsien S. (2005). Concept maps as assessment tool in a nursing course. Journal of professional Nursing, 21(3), 141-149.

Habre, A. (2010). Traditional instruction of differential equations and conceptual learning. Teaching Mathematics and Its Applications, 29, 94-107

Hatami, J., Abbasi, R., & Mirzaei, A. (2009). Improving the quality of teaching concepts. Journal of Educational Technolog, 3(4), 281-296

Kasiyah, J. (2018). Assessing Students’ Mathematical Misconceptions through Concept Maps and Online Discussion Transcripts: Inner Product Spaces, Proceedings of the 26th International Conference on Computers in Education. Philippines: Asia-Pacific Society for Computers in Education.

Khodaie, E. (2010), Effective factors on passing in national entrance exam in7. Postgraduate level. Quarterly Journal of Research and Planning in Higher Education, 15(6), 19-34.

Kavak, K. (2012). İlköğretim 8. sınıf fen ve teknoloji dersi ‘maddenin halleri ve ısı’ ünitesinde ka¬vram haritası tekniği kullanımının öğrencilerin başarısına, bilgilerin kalıcılığına ve fene karşı tutumlarına etkisi. Doctoral Dissertation, Atatürk University, Erzurum.

Karami, R. (2009). Psychology of memory and learning with cognitive approach. Samt.Tehran

Lopes, M. C. & Fernandes, G. L. (2012), A comprehensive approach towards academic failure: the case of mathematics I in ISEG graduation, European education research conference education, Development and Freedom, Universidad of Cadiz

Morse, D. & Jutrus, F. (2008). Implementing Concept-based Learning in a Large Undergraduate Classroom. CBS 2008 Summer, 7(2), 243–253

Msrabady, J. (2008). the effects of concept mapping (presentation and construction learners’ entry characteristics on cognitive performance - emotional learning biology. Ph.D. Thesis. Tabriz University.

Novak, J. D. & Cañas, A. J. (2008). The theory underlying concept maps and how to construct and use them. Journal of Research in Science Teaching, 28, 10. Technical Report IHMC Campstools. Florida Institute for Human and Machine Cognition. Retrieved May18, 2014 from http://www.ssu.ac.ir/fileadmin/templates/fa/Moavenatha/Moavenate-Amozeshi/edicupload/olymp-3.pdf

Novak, J.D. & Canas, A.J. (2006). The origins of the concept mapping tool and the continuing evaluation of the tool. Information Visualization Journal, 5(3), 108-132

Nancy, L. G. (2013). Concept mapping for learners of all ages, Journal for Educators, Teachers and Trainers, 4 (1), 59-72.

Novak, J.D. (2002). Meaningful learning: the essential factor for conceptual change in limited or appropriate Propositional hierarchies (LIPHs) leading to empowerment of learners. Science Education, 86, 548-571

NCTM (National Council of Teachers of Mathematics). (1995). Principles to actions: Ensuring mathematical success for all. Reston, VA: NCTM

Orhan, A. (2012). Alternatif ölçme ve değerlendirme etkinliklerinin 6. sınıf fen ve teknoloji dersi yaşamımızdaki elektrik ünitesindeki öğrenci başarısına etkisi. Master’s Thesis, Ahi Evran University, Kırşehir.

Reynolds., J. A.& Thompson, R. J. (2002). Want to improve undergraduate. Thesis writing engage students and their faculty readers in scientific peer review.

Rasmussen, C., and K. Whitehead. (2003). Learning and teaching ordinary differential equations. MAA Online Research Sampler. Retrieved January 2013 from: http://calculus-course.maa.org/t_and_l/sampler/rs_7.html#support.

Rasmussen, C. L. (2001). New directions in differential equations a framework for interpreting stu-dents’ understandings and difficulties. The Journal of Mathematical Behavior, 20(1), 55-87

Ruiz-Primo, M. A. & Shavelson, R. J. (1996a). Problems and issues in the use of concept maps in science assessment. Journal of Research in Science Teaching, 33(6), 569-600.

Sakiyo,J. & Waziri,K.(2015). Concept Mapping Strategy: An Effective Tool for Improving Students’ Academic Achievement in Biology. Journal of Education in Science, Environment and Health. (JESEH),1(1), 56-62

Stoddart,T. Abrams, R., Gasper, E.,& Canaday, D. (2000). Concept maps as assessment in science inquiry learning report of methodology. International Journal of Science Education, 22(12), 1221-1246.

Saeidi, A., Seif, A., Asadzadeh, H., & Ebrahimi, S. (2012). The Effect of studying through Concept Maps on the comprehension of the Third-Year High School Students. Journal of Information and Communication Technology in Education, 3(1), 131-143.

Seif, A. (2002). Educational Psychology (Learning in education) book. AGAH Publisher.

Seif, A. (2005). Comparison of effectiveness Methods of presenting and preparing concept maps on comprehension. Journal of School Psychology, 3(2), 125-143

Sánchez, J. J. B. (2012), The analysis of errors in the solution of ordinary differential equations, Proceedings in ARSA-Advanced Research in Scientific Areas.

Trochim, W. M. K., Cook, J. A., & Setze, R. J. (1994). Using Concept Mapping to Develop a Conceptual Framework of Staff’s Views of a Supported Employment Program for Persons with Severe Mental Illness. Journal of Consulting and Clinical Psychology, 62(4), 766-775

Tan, S., Erdimez, O., & Zimmerman, R. (2017). Concept Mapping as a Tool to Develop and Measure Students’ Understanding in Science. Acta Didactica Napocensia, 10(2), 109-122

Publicado
2020-12-22
Cómo citar
MoradiF. (2020). Effectiveness of Concept Mapping’s Efficiency in Differential Equations. Uni-Pluriversidad, 20(2), 1-23. https://doi.org/10.17533/udea.unipluri.20.2.07
Sección
INFORMES DE INVESTIGACIÓN Y ENSAYOS INÉDITOS