FEN VE MATEMATİK EĞİTİMİNDE KAVRAM YANILGILARI ÜZERİNE FARKINDALIK: ÖĞRETMEN ADAYLARININ ALGI VE DENEYİMLERİ
Yıl 2017,
Cilt: 18 Sayı: 2, 525 - 545, 01.05.2017
Canan Mesutoğlu
Bengi Birgili
Öz
Bu çalışma, fen ve matematik öğretmen adaylarının kavram yanılgıları hakkındaki algılarını ve deneyimlerini ortaya çıkarmayı amaçlamaktadır. Öğretmen adaylarının öğrencilerdeki kavram yanılgılarının ne kadar farkında oldukları ve kavram yanılgılarını belirlerken ve kavram yanılgıları ile çalışırken neler deneyimledikleri bu çalışmanın kapsamı içerisindedir. Fen ve matematik eğitimi bölümlerinden 11 öğretmen adayları ile yarı yapılandırılmış görüşmeler gerçekleştirilmiştir. Çalışmanın sonuçları göstermektedir ki öğretmen adayları kavram yanılgılarının doğası ile ilgili bir farkındalığa sahip olmakla beraber tanımlama yapmakta zorlanmaktadırlar. Kavram yanılgıları sıklıkla ek örnekler yoluyla tespit edilmektedir. Öğretmen adayları kavram yanılgılarının sonuçlarını akademik başarısızlık, diğer konuları öğrenmeye olumsuz etki, psikolojiye olumsuz etki ve sınıf yönetimi sorunları olarak görmektedirler. Bulgular son olarak bir SWOT analizi ile geliştirilerek sunulmuştur. Sonuçlar aracılığı ile algı ve deneyimlerinin ortaya konması öğretmen adaylarının geliştirilebilir yönlerine işaret etmektedir.
Kaynakça
- An, S., & Wu, Z. (2012). Enhancing mathematics teachers’ knowledge of students’ thinking from assessing and analyzing misconceptions in homework. International Journal of Science and Mathematics Education, 10(3), 717–753.
- Ausubel, D. P. (1968). Educational psychology: A cognitive view. New York: Holt, Rinehart and Winston.
- Ashlock, R. B. (2006). Error patterns in computation: Using error patterns to improve instruction. Pearson: Merrill-Prentice Hall.
- Aydın, F., & Taşar, F. (2010). An investigation of pre-service science teachers' cognitive structures and ideas about the nature of technology. Journal of Kırşehir Education Faculty, 11(4), 209–221.
- Badenhorst, E., Mamede, S., Hartman, N., & Schmidt, H.G. (2015). Exploring lecturers’ views of first-year health science students’ misconceptions in biomedical domains. Advances in Health Sciences Education, 20(2), 403–420. Doi: 10.1007/s10459-014-9535-3.
- Bair, S. L., & Rich, B. S. (2011). Characterizing the development of specialized mathematical content knowledge for teaching in algebraic reasoning and number theory. Mathematical Thinking and Learning, 13(4), 292–321.
- Barcellos, A. (2005). Mathematical misconceptions of college-age algebra students. Unpublished dissertation. University of California, Davis.
- Başarmak, U., & Gelibolu, M. F. (2010). Determining teacher candidates’ levels of understanding some concepts and misconceptions on internet. Journal of Kırşehir Education Faculty, 11(3), 249–262.
- Bayraktar, Ş. (2009). Misconceptions of Turkish pre-service teachers about force and motion. International Journal of Science and Mathematics Education, 7(2), 273–291.
- Biber, A. C., Tuna, A., & Aktaş, O. (2013). Students’ misconceptions of fractions and its effect on solving fractions problems. Trakya University Journal of Education, 3(2), 152–162.
- Billings, L., & Fitzgerald, J. (2002). Dialogic discussion and the Paideia seminar. American Educational Research Journal, (39)4, 907–941
- Bransford, J., Brown, A. L., & Cocking, R. R. (Eds.). (2000). How people learn: Brain, mind, experience, and school: Expanded edition. Washington, D.C.: National Academy Press.
- Bush, S. B., & Karp, K. S. (2013). Prerequisite algebra skills and associated misconceptions of middle grade students: A review. Journal of Mathematical Behavior, 32(3), 613–632.
- Chew, S. L. (2007). Study more Study harder Students’ and teachers’ faulty beliefs about how people learn. General Psychologist, 42(7), 8–10.
- Chick, H. L., & Baker, M. K. (2005). Investigating teachers’ responses to student misconceptions.
- International
Group for the Psychology of Mathematics Education, 2, 249– 256. Melbourne: PME. of the 29 th Conference of
- the Çepni, S., Ayvacı, H., & Keleş, E. (2000). Sertifika öğrencilerinin fizik kavramlarını anlama düzeyleri [Certificate students’ understanding levels of physics concepts]. X. Ulusal Egitim Bilimleri Kongresi. [X. National Educational Sciences Congress] Bolu: Abant İzzet Baysal University.
- Coştu, B., Ayas, A., & Ünal, S. (2007). Kavram yanılgıları ve olası nedenleri: Kaynama kavramı [Misconceptions about boiling and their possible reasons]. Kastamonu Education Journal, 15(1), 123–136.
- Fisher, K. (1985). A misconception in biology: Amino acids and translation. Journal of Biology Education, 22, 53–62.
- Fraenkel, J., Wallen, N., & Hyun, H.H. (2012). How to design and evaluate research in education (8th ed.). New York: McGraw Hill.
- Gomez-Zweip, S. (2008). Elementary teachers’ understanding of students’ science misconceptions: Implications for practice and teacher education. Journal of Science Teacher Education, 19(5), 437–454.
- Gürel, D. K., & Eryılmaz, A. (2013). A content analysis of physics textbooks as a probable source of misconceptions in geometric optics. Hacettepe University Education Faculty Journal, 28(2), 234–245.
- Gürel, D., Eryılmaz, A. & McDermott, L.C. (2015). A review and comparison of diagnostic instruments to identify students’ misconceptions in science. EURASIA Journal of Mathematics, Science & Technology Education, 11(5), 989–1008.
- Halim, L., & Meerah, S. M. (2002). Science trainee teachers’ pedagogical content knowledge and its influence on physics teaching. Research in Science & Technological Education, 20(2), 215–225.
- Hare, M. K., & Graber, K. C. (2000). Student misconceptions during two invasion game units in physical education: A qualitative investigation of student thought processing. Journal of Teaching in Physical Education, 20(1), 55–77.
- Holmes, V. L., Miedema, C., Nieuwkoop, L., & Haugen, N. (2013). Data-driven intervention: Correcting mathematics students’ misconceptions, not mistakes. The Mathematics Educator, 23(1), 22–44.
- Kıcı, D. (2012). Using technology in science education: A courseware to overcome misconceptions and learning difficulties about photosynthesis. International Journal of New Trends in Arts, Sports & Science Education, 1(2), 30–40.
- Kidron, I., & Zehavi, N. (2002). The role of animation in teaching the limit concept. International Journal of Computer Algebra in Mathematics Education, 9(3), 205–227.
- Kılıç, H. (2011). Pre-service secondary mathematics teachers’ knowledge of students. Turkish Online Journal of Qualitative Inquiry, 2(2), 17–35.
- Kızıltepe, Z. (2015). Içerik analizi [Content analysis]. In F. N. Seggie & Y. Bayyurt (Eds.), pp. 253–266. Ankara: Ani Publication.
- Korur (2015). Exploring seventh-grade students’ and pre-service science teachers’ misconceptions in astronomical concepts. Journal of Mathematics, Science & Technology Education, 11(5), 1041–1060.
- Köprülü, F. (2014). Position, socioeconomic values, and future of supplementary education centers in the educational system. Retrieved May 1, 2016 from http://www.ozdebir.org.tr/fls/20140121142008_79cf13dcc0e89062adc0234a9d1 c362c.pdf
- Krippendorff, K. (2004). Content analysis: An introduction to its methodology. (2nd ed.) Thousand Oaks: Sage.
- Küçük A., & Demir, B. (2009). İlköğretim 6-8. Sınıflarda matematik öğretiminde karşılaşılan bazı kavram yanılgıları üzerine bir çalışma [A study on some misperceived concepts in the teaching of mathematics in 6th-8th grades]. Dicle University Ziya Gokalp Faculty of Education Journal, 13, 97–112.
- Larkin, D. (2012). Misconceptions about “misconceptions”: Pre-service secondary science teachers’ views on the value and role of student ideas. Science Education, 96(5), 927–959.
- Lazarowitz, R., & Lieb, C. (2006). Formative assessment pre-test to identify college students’ prior knowledge, misconceptions and learning difficulties in biology. International Journal of Science and Mathematics Education, 4(4), 741–762.
- Maxwell, J. A. (2012). The importance of qualitative research for causal explanation in education. Qualitative Inquiry, 18(8), 655-661.
- McNeil, N. M., & Alibali, M. W. (2005). Knowledge change as a function of mathematics experience: All contexts are not created equal. Journal of Cognition and Development, 6(2), 285–306. Doi: 10.1207/s15327647jcd0602_6
- Meyer, H. (2004). Novice and expert teachers’ conceptions of learners’ prior knowledge. Science Teacher Education, 88(6), 970–983.
- Naah, B. M. (2015). Enhancing pre-service teachers’ understanding of students’ misconceptions in learning chemistry. Journal of College Science Teaching, 45(2), 41–47.
- Navarro, M., & Carreras, P. (2006). Constructing a concept image of convergence of sequences in the van Hiele framework. Research in Collegiate Mathematics Education, 6(13), 61–98.
- Öksüz, C. (2010). Seventh grade gifted students’ misconceptions on “point, line and plane” concepts. Elementary Education Online, 9(2), 508–525.
- Osana, H. P., & Royea, D. A. (2011). Obstacles and challenges in preservice teachers’ explorations with fractions: A view from a small-scale intervention study. The Journal of Mathematical Behavior, 30(4), 333–352.
- Özgür, S. (2013). The persistence of misconceptions about the human blood circulatory system among students in different grade levels. International Journal of Environmental and Science Education, 8(2), 255–268.
- Patton, M. Q. (2002). Qualitative evaluation and research methods (3rd Edition). Thousand Oaks, California: Sage Publications.
- Raven, S. P., & Kittleson, J. M. (2014). Secondary science students' knowledge of molecule movement, concentration gradients, and equilibrium through multiple learning contexts. Presented at the NARST Annual Meeting, Pittsburgh, PA.
- Sawyer, R. K. (Ed.). (2005). The Cambridge handbook of the learning sciences. Cambridge University Press.
- Seggie, F. N., & Akbulut-Yıldırmış, (2015). Nitel araştırmanın desenlenmesi [Designing qualitative research]. In F. N. Seggie & Y. Bayyurt (Eds.), pp. 23–42. Ankara: Anı Publication.
- Seggie, F. N., & Bayyurt, Y. (Eds.). (2015). Nitel arastırma: yöntem, teknik, analiz ve yaklasımları [Qualitative research: method, technique, analysis and approaches]. Ankara: Anı Publication.
- Smith, J. P., diSessa, A. A., & Roschelle, J. (1993). Misconceptions reconceived: A constructivist analysis of knowledge in transition. The Journal of the Learning Sciences, 3(2), 115–163.
- Stern, E. (1996). Rethinking prior knowledge: Facets instead of misconceptions. Issues in Education, 2(2), 195–199.
- Strauss, A.L., & Corbin, J. (1990). Basics of qualitative research: Grounded theory procedures and techniques. Newbury Park, CA: Sage.
- Svinicki, M. (1994). What they don’t know can hurt them: The role of prior knowledge in learning. The Professional & Organizational Development Network in Higher Education, 5(4).
- Thomas, S., Chie, Q. T., Abraham, M., Raj, S. J., & Beh, L. S. (2014). A qualitative review of literature on peer review of teaching in higher education: An application of the SWOT framework. Review of Educational Research, 84(1), 112–159.
- Tshuma, T., & Sanders, M. (2015). Textbooks as a possible influence on unscientific ideas about evolution. Journal of Biological Education, 49(4), 354–369.
- Watson, J. M. (2002). Inferential reasoning and the influence of cognitive conflict. Educational Studies in Mathematics, 51(3), 225–256.
- Yıldırım, A., & Şimşek, H. (2013). Sosyal bilimlerde nitel araştırma yöntemleri [Qualitative research methods in education]. Ankara, Turkey: Seçkin Publishing House.
- Yüksel, İ., & Dağdeviren, M. (2007). Using the analytic network process in a SWOT analysis: A case study for a textile firm. Information Sciences, 177(16), 3364– 3382.
Awareness of Misconceptions in Science and Mathematics Education: Perceptions and Experiences of Pre-service Teachers
Yıl 2017,
Cilt: 18 Sayı: 2, 525 - 545, 01.05.2017
Canan Mesutoğlu
Bengi Birgili
Öz
This study aimed to reveal elementary science and mathematics pre-service teachers’ perceptions and experiences on misconceptions. To what extent pre-service teachers are aware of students’ misconceptions, and what they experienced about identifying and working with misconceptions were of interest for this study. Semi-structured interviews were conducted with 11 pre-service teachers from elementary science education and mathematics education programs. The results revealed that pre-service teachers had awareness on nature of misconceptions while having difficulties in providing more concise definitions of misconceptions. The misconceptions were mostly realized while giving additional examples compared to students’ explanation during teaching learning process. Another finding showed pre-service teachers believed that misconceptions might lead to academic underachievement, can have impact on other topics, can create negative symptoms of psychology, and classroom management problems. The findings were further structured into a SWOT analysis framework that can help future researchers
Kaynakça
- An, S., & Wu, Z. (2012). Enhancing mathematics teachers’ knowledge of students’ thinking from assessing and analyzing misconceptions in homework. International Journal of Science and Mathematics Education, 10(3), 717–753.
- Ausubel, D. P. (1968). Educational psychology: A cognitive view. New York: Holt, Rinehart and Winston.
- Ashlock, R. B. (2006). Error patterns in computation: Using error patterns to improve instruction. Pearson: Merrill-Prentice Hall.
- Aydın, F., & Taşar, F. (2010). An investigation of pre-service science teachers' cognitive structures and ideas about the nature of technology. Journal of Kırşehir Education Faculty, 11(4), 209–221.
- Badenhorst, E., Mamede, S., Hartman, N., & Schmidt, H.G. (2015). Exploring lecturers’ views of first-year health science students’ misconceptions in biomedical domains. Advances in Health Sciences Education, 20(2), 403–420. Doi: 10.1007/s10459-014-9535-3.
- Bair, S. L., & Rich, B. S. (2011). Characterizing the development of specialized mathematical content knowledge for teaching in algebraic reasoning and number theory. Mathematical Thinking and Learning, 13(4), 292–321.
- Barcellos, A. (2005). Mathematical misconceptions of college-age algebra students. Unpublished dissertation. University of California, Davis.
- Başarmak, U., & Gelibolu, M. F. (2010). Determining teacher candidates’ levels of understanding some concepts and misconceptions on internet. Journal of Kırşehir Education Faculty, 11(3), 249–262.
- Bayraktar, Ş. (2009). Misconceptions of Turkish pre-service teachers about force and motion. International Journal of Science and Mathematics Education, 7(2), 273–291.
- Biber, A. C., Tuna, A., & Aktaş, O. (2013). Students’ misconceptions of fractions and its effect on solving fractions problems. Trakya University Journal of Education, 3(2), 152–162.
- Billings, L., & Fitzgerald, J. (2002). Dialogic discussion and the Paideia seminar. American Educational Research Journal, (39)4, 907–941
- Bransford, J., Brown, A. L., & Cocking, R. R. (Eds.). (2000). How people learn: Brain, mind, experience, and school: Expanded edition. Washington, D.C.: National Academy Press.
- Bush, S. B., & Karp, K. S. (2013). Prerequisite algebra skills and associated misconceptions of middle grade students: A review. Journal of Mathematical Behavior, 32(3), 613–632.
- Chew, S. L. (2007). Study more Study harder Students’ and teachers’ faulty beliefs about how people learn. General Psychologist, 42(7), 8–10.
- Chick, H. L., & Baker, M. K. (2005). Investigating teachers’ responses to student misconceptions.
- International
Group for the Psychology of Mathematics Education, 2, 249– 256. Melbourne: PME. of the 29 th Conference of
- the Çepni, S., Ayvacı, H., & Keleş, E. (2000). Sertifika öğrencilerinin fizik kavramlarını anlama düzeyleri [Certificate students’ understanding levels of physics concepts]. X. Ulusal Egitim Bilimleri Kongresi. [X. National Educational Sciences Congress] Bolu: Abant İzzet Baysal University.
- Coştu, B., Ayas, A., & Ünal, S. (2007). Kavram yanılgıları ve olası nedenleri: Kaynama kavramı [Misconceptions about boiling and their possible reasons]. Kastamonu Education Journal, 15(1), 123–136.
- Fisher, K. (1985). A misconception in biology: Amino acids and translation. Journal of Biology Education, 22, 53–62.
- Fraenkel, J., Wallen, N., & Hyun, H.H. (2012). How to design and evaluate research in education (8th ed.). New York: McGraw Hill.
- Gomez-Zweip, S. (2008). Elementary teachers’ understanding of students’ science misconceptions: Implications for practice and teacher education. Journal of Science Teacher Education, 19(5), 437–454.
- Gürel, D. K., & Eryılmaz, A. (2013). A content analysis of physics textbooks as a probable source of misconceptions in geometric optics. Hacettepe University Education Faculty Journal, 28(2), 234–245.
- Gürel, D., Eryılmaz, A. & McDermott, L.C. (2015). A review and comparison of diagnostic instruments to identify students’ misconceptions in science. EURASIA Journal of Mathematics, Science & Technology Education, 11(5), 989–1008.
- Halim, L., & Meerah, S. M. (2002). Science trainee teachers’ pedagogical content knowledge and its influence on physics teaching. Research in Science & Technological Education, 20(2), 215–225.
- Hare, M. K., & Graber, K. C. (2000). Student misconceptions during two invasion game units in physical education: A qualitative investigation of student thought processing. Journal of Teaching in Physical Education, 20(1), 55–77.
- Holmes, V. L., Miedema, C., Nieuwkoop, L., & Haugen, N. (2013). Data-driven intervention: Correcting mathematics students’ misconceptions, not mistakes. The Mathematics Educator, 23(1), 22–44.
- Kıcı, D. (2012). Using technology in science education: A courseware to overcome misconceptions and learning difficulties about photosynthesis. International Journal of New Trends in Arts, Sports & Science Education, 1(2), 30–40.
- Kidron, I., & Zehavi, N. (2002). The role of animation in teaching the limit concept. International Journal of Computer Algebra in Mathematics Education, 9(3), 205–227.
- Kılıç, H. (2011). Pre-service secondary mathematics teachers’ knowledge of students. Turkish Online Journal of Qualitative Inquiry, 2(2), 17–35.
- Kızıltepe, Z. (2015). Içerik analizi [Content analysis]. In F. N. Seggie & Y. Bayyurt (Eds.), pp. 253–266. Ankara: Ani Publication.
- Korur (2015). Exploring seventh-grade students’ and pre-service science teachers’ misconceptions in astronomical concepts. Journal of Mathematics, Science & Technology Education, 11(5), 1041–1060.
- Köprülü, F. (2014). Position, socioeconomic values, and future of supplementary education centers in the educational system. Retrieved May 1, 2016 from http://www.ozdebir.org.tr/fls/20140121142008_79cf13dcc0e89062adc0234a9d1 c362c.pdf
- Krippendorff, K. (2004). Content analysis: An introduction to its methodology. (2nd ed.) Thousand Oaks: Sage.
- Küçük A., & Demir, B. (2009). İlköğretim 6-8. Sınıflarda matematik öğretiminde karşılaşılan bazı kavram yanılgıları üzerine bir çalışma [A study on some misperceived concepts in the teaching of mathematics in 6th-8th grades]. Dicle University Ziya Gokalp Faculty of Education Journal, 13, 97–112.
- Larkin, D. (2012). Misconceptions about “misconceptions”: Pre-service secondary science teachers’ views on the value and role of student ideas. Science Education, 96(5), 927–959.
- Lazarowitz, R., & Lieb, C. (2006). Formative assessment pre-test to identify college students’ prior knowledge, misconceptions and learning difficulties in biology. International Journal of Science and Mathematics Education, 4(4), 741–762.
- Maxwell, J. A. (2012). The importance of qualitative research for causal explanation in education. Qualitative Inquiry, 18(8), 655-661.
- McNeil, N. M., & Alibali, M. W. (2005). Knowledge change as a function of mathematics experience: All contexts are not created equal. Journal of Cognition and Development, 6(2), 285–306. Doi: 10.1207/s15327647jcd0602_6
- Meyer, H. (2004). Novice and expert teachers’ conceptions of learners’ prior knowledge. Science Teacher Education, 88(6), 970–983.
- Naah, B. M. (2015). Enhancing pre-service teachers’ understanding of students’ misconceptions in learning chemistry. Journal of College Science Teaching, 45(2), 41–47.
- Navarro, M., & Carreras, P. (2006). Constructing a concept image of convergence of sequences in the van Hiele framework. Research in Collegiate Mathematics Education, 6(13), 61–98.
- Öksüz, C. (2010). Seventh grade gifted students’ misconceptions on “point, line and plane” concepts. Elementary Education Online, 9(2), 508–525.
- Osana, H. P., & Royea, D. A. (2011). Obstacles and challenges in preservice teachers’ explorations with fractions: A view from a small-scale intervention study. The Journal of Mathematical Behavior, 30(4), 333–352.
- Özgür, S. (2013). The persistence of misconceptions about the human blood circulatory system among students in different grade levels. International Journal of Environmental and Science Education, 8(2), 255–268.
- Patton, M. Q. (2002). Qualitative evaluation and research methods (3rd Edition). Thousand Oaks, California: Sage Publications.
- Raven, S. P., & Kittleson, J. M. (2014). Secondary science students' knowledge of molecule movement, concentration gradients, and equilibrium through multiple learning contexts. Presented at the NARST Annual Meeting, Pittsburgh, PA.
- Sawyer, R. K. (Ed.). (2005). The Cambridge handbook of the learning sciences. Cambridge University Press.
- Seggie, F. N., & Akbulut-Yıldırmış, (2015). Nitel araştırmanın desenlenmesi [Designing qualitative research]. In F. N. Seggie & Y. Bayyurt (Eds.), pp. 23–42. Ankara: Anı Publication.
- Seggie, F. N., & Bayyurt, Y. (Eds.). (2015). Nitel arastırma: yöntem, teknik, analiz ve yaklasımları [Qualitative research: method, technique, analysis and approaches]. Ankara: Anı Publication.
- Smith, J. P., diSessa, A. A., & Roschelle, J. (1993). Misconceptions reconceived: A constructivist analysis of knowledge in transition. The Journal of the Learning Sciences, 3(2), 115–163.
- Stern, E. (1996). Rethinking prior knowledge: Facets instead of misconceptions. Issues in Education, 2(2), 195–199.
- Strauss, A.L., & Corbin, J. (1990). Basics of qualitative research: Grounded theory procedures and techniques. Newbury Park, CA: Sage.
- Svinicki, M. (1994). What they don’t know can hurt them: The role of prior knowledge in learning. The Professional & Organizational Development Network in Higher Education, 5(4).
- Thomas, S., Chie, Q. T., Abraham, M., Raj, S. J., & Beh, L. S. (2014). A qualitative review of literature on peer review of teaching in higher education: An application of the SWOT framework. Review of Educational Research, 84(1), 112–159.
- Tshuma, T., & Sanders, M. (2015). Textbooks as a possible influence on unscientific ideas about evolution. Journal of Biological Education, 49(4), 354–369.
- Watson, J. M. (2002). Inferential reasoning and the influence of cognitive conflict. Educational Studies in Mathematics, 51(3), 225–256.
- Yıldırım, A., & Şimşek, H. (2013). Sosyal bilimlerde nitel araştırma yöntemleri [Qualitative research methods in education]. Ankara, Turkey: Seçkin Publishing House.
- Yüksel, İ., & Dağdeviren, M. (2007). Using the analytic network process in a SWOT analysis: A case study for a textile firm. Information Sciences, 177(16), 3364– 3382.