Can Students’ Misconceptions regarding Decimal Notation be Eliminated with the 5E Model Enriched with Digital Concept Cartoons?

Yıl 2023, Cilt: 7 Sayı: 15, 859 - 883, 21.10.2023

Tuba Yenil , Burçin Gökkurt Özdemir

https://doi.org/10.31458/iejes.1362080

Cited By: 1

Öz

This study eliminates students’ misconceptions about decimal notation with the teaching method implemented according to the 5E model enriched with Digital Concept Cartoons (DCCs). The study was conducted with eight sixth grade students. In this study conducted using the action research method, lesson plans were designed based on the 5E model enriched with DCCs to eliminate misconceptions. The data were collected from Misconception Identification Forms 1 and 2, observation notes, and interviews conducted during the implementation process. Qualitative data analysis techniques were employed to analyze the data. Consequently, it was revealed that most students’ misconceptions about decimal notation decreased with the application of the 5E model enriched with DCCs. After the implementation, it was observed that most of the students’ misconceptions about sorting, place value, addition–subtraction, marking the numbers on the number line, and rounding in decimal notation were largely eliminated. In contrast, it was observed that students’ misconceptions regarding the multiplication/division operations and problems in decimal notation did not decrease.

Anahtar Kelimeler

Decimal notation, digital concept cartoons, mathematics education, misconception, 5e model

Etik Beyan

This study is derived from the master thesis “The Correction of 6th-Grade Students' Misconceptions on Decimal Notation with Digital Concept Cartoons Designed According to the 5E Model”" which was completed by Tuba YENIL under the supervision of Assoc. Prof. Dr. Burcin GOKKURT OZDEMIR. This study has been presented as a oral paper at the international symposium of limitless education and research (ISLER 2020) conference. Data are available upon request.

Destekleyen Kurum

Bartın Üniversitesi Bilimsel Araştırma Projeleri Koordinasyon Birimi

Proje Numarası

2020-SOS-CY- 003

Teşekkür

This study was produced from some of the data from the master's thesis submitted by the first author to Trabzon University, Graduate Education Institute, under the supervision of the second author. This study has been presented as a oral paper at the international symposium of limitless education and research (ISLER 2020) conference. Data are available upon request. We thank the students for sharing their knowledge with us.

Kaynakça

• Adıgüzel, T., Şimşir, F., Çubukluöz, Ö. & Gokkurt-Özdemir, B. (2018). Master’s theses and doctoral dissertations on misconceptions in mathematics and science education in Turkey: A thematic analysis. Journal of Bayburt Education Faculty, 13(25), 57-92.
• Ang, L. H. & Shahrill, M. (2014). Identifying students’ specific misconceptions in learning probability. International Journal of Probability and Statistics, 3(2), 23-29. https://doi.org/10.5923/j.ijps.20140302.01
• Arnaodin, M. & Mintzes, J. (1985). Students’ alternative conceptions of the human circulatory system: A crossage study. Science Education, 69(5), 721-733. https://doi.org/10.1002/sce.3730690513
• Arvanitaki, M. & Zaranis, N. (2020). The use of ICT in teaching geometry in primary school. Education and Information Technologies, 25(6). https://doi.org/10.1007/s10639-020-10210-7
• Baki, A. (2008). Mathematics education from theory to practice(4th Edition). Ankara: Harf Publishing
• Balım, A. G., İnel, D. & Evrekli, E. (2008). The effects the using of concept cartoons in science education on students’ academic achievements and enquiry learning skill perceptions. Elementary Education Online, 7(1), 188-202.
• Başer, E. T. (2008). The influence of teaching activities appropriate for 5E model on 7th grade students? academic achievement in mathematics lesson. (Unpublished master’s thesis). Gazi University, Ankara.
• Birisci, S., Metin, M. & Karakas, M. (2010). Pre-service elementary teachers’ views on concept cartoons: A sample from Turkey. Middle-East Journal of Scientific Research, 5(2), 91-97.
• Bülbül, Y. (2010). Effects of 7E learning cycle model accompanied with computer animations on understanding of diffusion and osmosis concepts. (Unpublished master’s thesis). Middle East Technical University, Ankara.
• Bursalı, G. & Gökkurt-Özdemir, B. (2019). Instructional explanations of mathematics teachers and preservice teachers on misconceptions: The subject of probability. Journal of Computer and Education Research, 7(14), 642-672. https://doi.org/10.18009/jcer.639384
• Bybee, R. W. (2009). The BSCS 5E instructional model and 21st century skills. Retrieved from https://sites.nationalacademies.org/cs/groups/dbassesite/documents/webpage/dbasse_073327.pdf
• Bybee, R., Taylor, J., Gardner, A., Van Scotter, P., Carlson, J., Westbrook, A. & Landes, N. (2006). The BSCS 5E instructional model: Origins and effectiveness. Retrieved from https://www.bates.edu/research/files/2018/07/BSCS_5E_Executive_Summary.pdf
• Carin, A., Bass, J. & Contant, T. L. (2005). Teaching science as inquiry (9th Ed.). Upper Saddle River, NJ: Pearson Prentice Hall.
• Çepni, S. & Şahin, Ç. (2012). Effect of different teaching methods and techniques embedded in the 5E instructional model on students' learning about buoyancy force. International Journal of Physics & Chemistry Education, 4(2), 97-127.
• Chin, C. & Teou, L. Y. (2009). Using concept cartoons in formative assessment: Scaffolding students’ argumentation. International Journal of Science Education, 31(10), 1307-1332. https://doi.org/10.1080/09500690801953179
• Chin-Siong, L., Yunn-Tyug, O., Phang, F. A., & Pusppanathan, J. (2023). The use of concept cartoons in overcoming the misconception in electricity concepts . Participatory Educational Research, 10(1), 310-329. https://doi.org/10.17275/per.23.17.10.1
• Çavaş, B., Çavaş, P., & Anagün, Ş. (2023). Assessment and evaluation in science and technology education. In B. Akpan, B. Cavas, T. Kennedy (Eds.), Contemporary issues in science and technology education. contemporary trends and issues in science education, vol 56. Springer, Cham. https://doi.org/10.1007/978-3-031-24259-5-6
• Drijvers, P., Doorman, M., Boon, P., Reed, H., & Gravemeijer, K. (2010). The teacher and the tool: Instrumental orchestrations in the technology-rich mathematics classroom. Educational Studies in Mathematics, 75(2), 213-234. https://doi.org/10.1007/s10649-010-9254-5
• Elby, A. (2001). Helping physics students learn how to learn. American Journal of Physics, Physics Education Research Supplement, 69(1), 54-64. https://doi.org/10.1119/1.1377283
• Erdoğan, A. & Ozsevgec, L. C. (2012). The effects of concept cartoons on eliminating students’ misconceptions: Greenhouse effect and global warming. Turkish Journal of Education, 1(2), 38-50. https://doi.org/10.19128/turje.181046
• Ertem-Akbaş, E. & Kılıç, E. (2023). Examining the structure of observed learning outcomes of 8th grade students by using concept cartoons activities: An example of reflection. Journal of Computer and Education Research, 11(21), 67-94. https://doi.org/10.18009/jcer.1209579
• Fisher, K. (1983). Amino acids and tranlation: A misconceptions in biology. Helm, H. & Novak,J. (Eds.), In Proceedings of the International Seminar on Misconceptions in Science and Mathematics Department of Education. (pp. 407-419). Newyork, Cornell University: Ithaca.
• Genç, H. N. (2020). A content analysis related to theses about concept cartoons in science education: The case of Turkey (2007-2019). International Journal of Humanities and Education, 6(13), 267-290.
• Gökkurt-Özdemir, B. (2019). Use of concept maps and concept cartoons as an assessment tool in teaching and learning mathematics. Çepni, S. (Ed.), In Current studies in educational measurement evaluation (pp. 191-208). Paradigma Publisher: Çanakkale.
• Gökkurt, B., Örnek, T., Hayat, F. & Soylu, Y. (2015). Assessing students’ problem-solving and problem-posing skills. Bartın University Journal of Faculty of Education, 4(2), 751-774. https://doi.org/10.14686/buefad.v4i2.5000145637
• Guven, G., Kozcu Cakir, N., Sulun, Y., Cetin, G. & Guven, E. (2020). Arduino-assisted robotics coding applications integrated into the 5E learning model in science teaching. Journal of Research on Technology in Education, 54(1), 108-126. https://doi.org/10.1080/15391523.2020.1812136
• Hanley, S. (1994). On constructivism. Maryland collaborative for teacher preparation. Retrieved from http://www.inform.umd.edu/UMS+State/UMD-Projects/MCTP/Essays/Constructivism.txt
• Hashweh, M. (1988). Descriptive studies of students’ conceptions in science. Journal of Research in Science Teaching, 25(2), 121-134. https://doi.org/10.1002/tea.3660250204
• Hendricks, C. (2009). Improving schools through action research. A comprehensive guide for educators. Pearson: Upper Saddle River, NJ Merrill.
• Hewson, P. W. & Hewson, M. A. (1984). The role of conceptual conflict in conceptual change and the design of science instruction. Instructional Science, 13(1), 1-13. https://doi.org/10.1007/BF00051837
• Hiçcan, B. (2008). The influence of teaching activities with respect to 5E learning cycle model on academic achievements in mathematics lesson of 7th grade students in primary school about linear equations in one variable. (Unpublished master’s thesis). Gazi University, Ankara.
• Jobrack, B. (2013). The 5E instructional model: engage explore explain evaluate extend. From Science, Technology, Engineering and Mathematics. [03.05.2023]
• Kaplan, A., Altaylı, D. & Öztürk, M. (2014). Removing the misconceptions met in root numbers by concept cartoons. Journal of Uludag University of Faculty of Education, 27(1), 85-102. https://doi.org/10.19171/uuefd.31919
• Karaoglan-Yılmaz, F., Gökkurt-Özdemir, B., & Yasar, Z. (2018). Using digital stories to reduce misconceptions and mistakes about fractions: An action study. International Journal of Mathematical Education in Science and Technology, 49(6), 867-898. https://doi.org/10.1080/0020739X.2017.1418919
• Kaya, R. (2015). Investigation of the 6th grade students' misconceptions about representations of the decimal numbers. (Unpublished master’s thesis). Uşak University, Uşak. Keogh, B. & Naylor, S. (1996, September). Teaching and learning in science: a new perspective. Paper presented at the BERA Conference, Lancaster, UK.
• Keogh, B. & Naylor, S. (1998). Teaching and learning in science using concept cartoons. Primary Science Review, 51, 14–16.
• Keogh, B., Naylor, S. & Wilson, C. (1998). Concept cartoons: A new perspective on physics education. Physis Education, 33(4), 219-224. https://doi.org/10.1080/095006999290642
• Keogh, B., Naylor, S., de Boo, M., & Rosemary, F. (2002). Formative assessment using concept cartoons: Initial teacher training in the UK. Behrendt, H., Dahncke, H., Duit, R., Gräber,W., Komorek, M., Kross, A. & Reiska, P. (Eds.), In Research in science education Past, present, and future (pp. 137–142). Amsterdam: Kluwer Academic Publishers.
• Korucu, S. (2009). Comparison of cartoons and computer-assisted teaching methods on polygons. (Unpublished master’s thesis). Marmara University, İstanbul.
• Köken, C. B. (2020). The correction of mathematics teacher candidates’ misconceptions or errors on geometric concepts with digital concept maps. (Unpublished master’s thesis). Bartın University, Bartın.
• Miles, M. B. & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook (Second Edition). Thousand Oaks, CA: Sage Publications: USA.
• Mills, G. E. (2003). Action research: A guide for the teacher researcher (Second Edition). Merrill Prentice Hall: Upper Saddle River, NJ Merrill.
• Ministry of National Education [MoNE], (2018). Mathematics lesson curriculum (1, 2, 3, 4, 5, 6, 7, and 8. Class), Ankara.
• Mohd-Rustam, M. R. & Azlina, M. K. (2016). Challenges in mathematics learning: a study from school student’s perspective. Aqeel, K., Mohamed Najib, A. G., Abdul Rahin, H., & Rohaya, T. (Eds.), In Research on educational studies (pp. 286-303). New Delhi: Serials Publication.
• Naidoo, J. (2014). Responsive and innovative pedagogies: Exploring postgraduate students’ insights into the use of technology in mathematics teaching. Alternation, 12(1), 99-123.
• National Council of Teachers of Mathematics [NCTM] (1989). Curriculum and evaluation standards for school mathematics, Reston, VA.
• Naylor, S. & Keogh, B. (2000). Concept cartoons in science education. UK: Millgate House.
• Önal, H. & Çilingir-Altiner, E. (2022) The effect of the use of concept cartoons on students’ success in mathematics (time measurement). The Journal of Educational Research, 115(4), 246-257, https://doi.org/10.1080/00220671.2022.2117127
• Russell, E. S. (1945). The directiveness of organic activities. Nature, 156(3973), 731–732. https://doi.org/10.1038/156731a0
• Sezgin-Memnun, D. (2015). Secondary school students’ metaphors about mathematical problem and change of metaphors according to grade levels. Necatibey Faculty of Education Electronic Journal of Science and Mathematics Education, 9(1), 351-374. https://doi.org/10.17522/nefefmed.30643
• Shallcross, D. E. & Harrison, T. G. (2007). Lectures: Electronic presentations versus chalk and talk – a chemist’s view. Chemistry Education Research and Practice, 8(1), 73-79. https://doi.org/10.1039/B6RP90021F
• Smith, J. P., Disessa, A. A., & Roschelle, J. (1994). Misconceptions reconceived: A constructivist analysis of knowledge in transition. The Journal of the Learning Sciences, 3(2), 115-163. https://doi.org/10.1207/s15327809jls0302_1
• Şahin, Y. (2018). The effect of concept cartoons usage, enriched with 5E model, on students’ concept learning and critical thinking skills in geography education. (Unpublished master’s thesis). Karadeniz Teknik University, Trabzon.
• Tanner, K. (2010). Order matters: Using the 5E model to align teaching with how people learn. CBE-Life Sciences Education, 9(3), 159–164. https://doi.org/10.1187/cbe.10-06-0082
• Taslidere, E. & Yıldırım, B. (2023). Effect of conceptual change–oriented instruction on students’ conceptual understanding and attitudes towards simple electricity. Int J of Sci and Math Educ 21, 1567–1589. https://doi.org/10.1007/s10763-022-10319-w
• Teltik-Başer, E. (2008). The influence of teaching activities appropriate for 5E model on 7th grade students? Academic achievement in mathematics lesson. (Unpublished master’s thesis). Gazi University, Ankara.
• Tuna, A. (2011). The effect of the 5E learning cycle model on students? mathematical thinking and academic achievements in teaching trigonometry. (Unpublished doctoral dissertation). Gazi University, Ankara.
• Türkdoğan, A., Güler, M., Bülbül, B. Ö. & Danışman, Ş. (2015). Studies about misconceptions in mathematics education in Turkey: A thematic review. Mersin University Journal of the Faculty of Education, 11(2), 215-236. https://doi.org/10.17860/efd.26545
• Uğurel, I. & Moralı, S. (2006). Cartoons and their use in mathematics teaching. National Education Journal, 34(170), 1-10.
• Usta, A. (2018). Investigation of problems regarding multiplication and division with natural numbers in primary school mathematics textbooks. (Unpublished master’s thesis). Recep Tayyip Erdogan University, Rize.
• Üçüncü, K. (2010). Primary school (2-5. grades) teachers? opinions regarding teaching multiplication and students? reachability levels of the objectives. (Unpublished master’s thesis). Gazi University, Ankara.
• Yavuz-Mumcu, H. (2015). Grade 6, 7 and 8 students’ misconceptions about decimal fractions and their reasons. Dicle University Journal of Ziya Gökalp Education Faculty, 24, 294-338.
• Yılmaz, A. (2018). The influence of 5E model supported by concept cartoons application on the attainment of mathematics achievement, learning performance and attitutes of middle school students. (Unpublished master’s thesis). Bartın University, Bartın.
• Yılmaz, Z. (2007). Misconceptions of second degree primary school students about decimal numbers (The case of Uşak). (Unpublished master’s thesis). Eskisehir Osmangazi University, Eskişehir.
• Yong, C. L. & Kee, C. Z. (2017). Utilizing concept cartoons to diagnose and remediate misconceptions related to photosynthesis among primary school students. In M. Karpudewan, A. N. Md., Zain, A. L., Chandrasegaran, (Eds.), Overcoming students' misconceptions in science. Springer, Singapore.
• Yorulmaz, A. (2018). The impact of realistic mathematics education on correcting the mistakes in number operations skills of fourth grade primary school students. (Unpublished doctoral dissertation). Marmara University, İstanbul.
• Yürekli, A. & Gökçek T. (2019). Identifying misconceptions regarding integers, and the role of concept cartoons in resolving them. Baki, A., Güven, B. & Güler, M. (Eds.), 4th International Symposium of Turkish Computer and Mathematics Education (pp. 157-165), İzmir, Turkey.
• Zaslavsky, O. & Shir, K. (2005). Students’ conceptions of a mathematical definition. Journal for Research in Mathematics Education, 36(4), 317-346. https://doi.org/10.2307/30035043