Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2024, Cilt: 17 Sayı: 3, 563 - 591, 25.07.2024
https://doi.org/10.30831/akukeg.1323295

Öz

Kaynakça

  • Akhtar, Z., Rashid, A., & Hussain, S. (2020). Writing equations in algebra: Investigation of students’ misconceptions. Sir Syed Journal of Education & Social Research, 3(4), 22-28. https://doi.org/10.36902/sjesr-vol3-iss4-2020(22-28)
  • 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. https://doi.org/doi:10.1007/s10763-011-9324-x
  • An, S., Kulm, G., & Wu, Z. (2004). The pedagogical content knowledge of middle school mathematics teachers in China and the U.S. Journal of Mathematics Teacher Education, 7 (2), 145–172. https://doi.org/10.1023/B:JMTE.0000021943.35739.1c
  • Aydin-Güç, F., & Aygün, D. (2021). Errors and misconceptions of eighth-grade students regarding operations with algebraic expressions. International Online Journal of Education and Teaching, 8(2), 1106-1126.
  • Baki, A. (1999). Cebirle ilgili işlem yanılgılarının değerlendirilmesi [Evaluation of algebra-related computing misconceptions]. In III. Ulusal Fen Eğitimi Sempozyumu Bildirileri Kitabı [National Science Education Symposium Proceedings Book] (pp.46-49). MEB.
  • Baki, A. (2008). Kuramdan uygulamaya matematik eğitimi [Mathematics education from theory to practice]. Harf Eğitim.
  • Barbieri, C. A., Miller-Cotto, D., & Booth, J. L. (2019). Lessening the load of misconceptions: Design-based principles for algebra learning. Journal of the Learning Sciences, 28(3), 381-417. https://doi.org/10.1080/10508406.2019.1573428
  • Baş, S., Erbaş, A. K. & Çetinkaya, B. (2011). Öğretmenlerin dokuzuncu sınıf öğrencilerinin cebirsel düşünme yapılarıyla ilgili görüşleri [Teachers’ knowledge about ninth grade students’ ways of algebraic thinking]. Education and Science, 36(159), 41-55.
  • Baykul, Y. (2014). Ortaokulda matematik öğretimi (5-8. sınıflar) [Teaching mathematics in secondary school (5th-8th grades)]. Pegem.
  • Bingölbali, F. (2010). The causes of students’ difficulties encountered during the task implementation in mathematics teaching and types of teachers’ interventions [Unpublished master thesis]. Gaziantep University, Gaziantep.
  • Birgin, O., & Demirören, K. (2020). Sekizinci sınıf öğrencilerinin basit görsel ve cebirsel ifadeler konusundaki hata ve kavram yanılgılarının incelenmesi [Investigation of the preservice science teachers’ views and suggestions on the application of the cooperative learning model in distance education environments]. International Journal of Social and Educational Sciences, 7(14), 233-247.
  • Borko, H., & Putnam, R. T. (1996). Learning to teach. In D.C. Berliner and R.C. Calfee (Eds.), Handbook of educational psychology (pp. 673–708). Simon and Schuster Macmillan.
  • Brown, C., & Borko, H. (1992). Becoming a mathematics teacher. In D.A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 209-239). Macmillan Publishing.
  • Bukova-Güzel, E. (2016). Matematik eğitiminde matematiksel modelleme [Mathematical modeling in mathematics education]. Pegem.
  • Bursali, G. 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/ doi: 10.18009/jcer.639384
  • Bush, S. B., & Karp, K. S. (2013). Prerequisite algebra skills and associated misconceptions of middle grade students: a review. The Journal of Mathematical Behavior, 32(3), 613-632. https://doi.org/10.1016/j.jmathb.2013.07.002
  • Çakmak Gürel, Z., & Okur, M. (2018). 7. ve 8. sınıf öğrencilerinin eşitlik ve denklem konusundaki kavram yanılgıları [The misconceptions of 7th and 8th graders on the equality and equation topics]. Cumhuriyet International Journal of Education, 6(4), 479-507. https://doi.org/10.30703/cije.342074
  • Chick, H. L., & Baker, M. K. (2005). Investigating teachers’ responses to student misconceptions. In H. L. Chick, and J. L. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (pp. 249-256). PME.
  • Cochran, K. F., DeRuiter, J. A., & King, R. A. (1993). Pedagogical content knowing: An integrative model for teacher preparation. Journal of Teacher Education, 44(4), 263-272. https://doi.org/10.1177/002248719304400400
  • Dede, Y., & Peker, M. (2007). Students’ errors and misunderstanding towards algebra: Pre-service mathematics teachers’ prediction skills of error and misunderstanding and solution suggestions. Elementary Education Online, 6(1), 35-49.
  • Demirören, K. (2019). Investigation of the 8th grade students' mistakes and misconceptions about algebrary expressions [Unpublished master thesis]. Uşak University, Uşak.
  • Di Martino, P., Gregorio, F., & Iannone, P. (2023). The transition from school to university mathematics in different contexts: affective and sociocultural issues in students’ crisis. Educational Studies in Mathematics, 113(1), 79-106. https://doi.org/10.1007/s10649-022-10179-9
  • Driver, R., & Easley, J. (1978). Pupils and paradigms: A review of literature related to concept development in adolescent science students. Studies in Science Education, 5(1978), 61- 84. https://doi.org/10.1080/03057267808559857
  • Ebenezer, J. V., & Fraser, D. M. (2001). First year chemical engineering students' conceptions of energy in solution processes: Phenomenographic categories for common knowledge construction. Science Education, 85(5), 509-535. https://doi.org/10.1002/sce.1021
  • Erdem, Ö., & Sarpkaya Aktaş, G. (2018). Assessment of activity-based instruction in overcoming 7th grade middle school students’ misconceptions in algebra. Turkish Journal of Computer and Mathematics Education, 9(2), 312-338. https://doi.org/ doi: 10.16949/turkbilmat.333612
  • Ersoy, Y., & Erbaş, A. K. (2005). Kassel projesi cebir testinde bir grup Türk öğrencinin genel başarısı ve öğrenme güçlükleri [General achievement and learning difficulties of a group of Turkish students in the Kassel project algebra test]. Elementary Education Online, 4(1), 18-39.
  • Even, R., & Tirosh, D. (1995). Subject matter knowledge and knowledge about students as sources of teacher presentations of the subject-matter. Educational Studies in Mathematics, 29(1), 1-20. https://doi.org/10.1007/BF01273897
  • Fennema, E., & Franke, M. L. (1992). Teachers' knowledge and its impact. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics (pp. 47–164). Macmillan.
  • Gelbal, S., & Kelecioğlu, H. (2007). Öğretmenlerin ölçme ve değerlendirme yöntemleri hakkındaki yeterlik algıları ve karşılaştıkları sorunlar [Teachers’ proficiency perceptions of about the measurement and evaluation techniques and the problems they confront]. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi [Hacettepe University Journal of Education], 33, 135-145.
  • Gökkurt-Özdemir, B., & Soylu, Y. (2017). Examination of the pedagogical content knowledge of mathematics teachers. International Online Journal of Primary Education, 6(1), 26-39.
  • Grouws, D., & Schultz, K. (1996). Mathematics teacher education. In J. Sikula (Ed.), Handbook of research on teacher education. Macmillan.
  • Güler, M. (2014). Investigating pre-service teachers' knowledge for teaching mathematics: the sample of algebra [Unpublished master thesis]. Karadeniz Technical University, Trabzon. Gür, H., & Kobak Demir, M. (2019). Matematik öğretmenlerinin öğretim profillerinin belirlenmesi [Determining teaching profiles of mathematics teachers]. Uluslararası Eğitim Bilim ve Teknoloji Dergisi [International Journal of Education Science and Technology], 5(2), 67-105.
  • Kaya, D. (2015). A study on the effects of multiple representations-based instruction on students’ algebraic reasoning skills, algebraic thinking levels and attitudes towards mathematics [Unpublished master thesis]. Dokuz Eylül University, İzmir.
  • Kieran, C. (1992). The learning and teaching of school algebra. In D.A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp.390-419). Macmillan.
  • Kılcan, S. A. (2006). The levels of elementary mathematics teachers' conceptual knowledge of the division with fractions [Unpublished master thesis]. Abant İzzet Baysal University, Bolu.
  • Kılıç, H. (2011). Preservice secondary mathematics teachers’ knowledge of students. Turkish Online Journal of Qualitative Inquiry, 2(2), 17-35. https://doi.org/10.17569/tojqi.93311
  • Kimii, C., & Declark. G. (1985). Young children reinvent arithmetic: Implications of Piaget’s theory. Teachers College Press.
  • Kinach, B. M. (2002a). A cognitive strategy for developing pedagogical content knowledge in the secondary mathematics methods course: Toward a model of effective practice. Teaching and Teacher Education, 18(1), 51-71. https://doi.org/10.1016/S0742-051X(01)00050-6
  • Kinach, B. M. (2002b). Understanding and learning-to-explain by representing mathematics: Epistemological dilemmas facing teacher educators in the secondary mathematics “methods'' course. Journal of Mathematics Teacher Education, 5(2), 153-186. https://doi.org/10.1023/A:1015822104536
  • Lambdin, D. V. (1993). The NCTM's 1989 evaluation standards. Recycled ideas whose time has come? In N. L. Webb (Eds.), Assessment in the mathematics classroom: 1993 yearbook (pp. 7-16). National Council of Teachers of Mathematics.
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Examining the Process of Middle School Math Teachers Diagnosing and Eliminating Student Misconceptions in Algebra

Yıl 2024, Cilt: 17 Sayı: 3, 563 - 591, 25.07.2024
https://doi.org/10.30831/akukeg.1323295

Öz

The aim of this study is to examine how middle school mathematics teachers diagnose and attempt to eliminate students' misconceptions in algebra. The study employed a case study method and embedded single-case design within its scope. The research was conducted with three mathematics teachers working in different state schools and having different professional experiences, as well as ten students from the eighth-grade classes of the same schools. The data collection instruments used in the study included the Diagnostic Test developed by researchers to identify students with misconceptions, the Assessment Framework prepared for the evaluation of teacher performances in diagnosing and eliminating student misconceptions, and Semi-Structured Interviews conducted between students and teachers, which were recorded and made available in audio/video format. The study revealed that teachers generally resorted to conventional methods in the process of diagnosing and eliminating students' misconceptions. In most cases, teachers superficially addressed students' errors and did not fully focus on students' thinking. Regarding the processes aimed at eliminating student misconceptions, it was observed that teachers preferred to directly inform students that their answers were incorrect, rather than facilitating students in recognizing their own errors. The findings of this study highlight the need to increase teachers' awareness and student knowledge regarding misconceptions in algebra.

Kaynakça

  • Akhtar, Z., Rashid, A., & Hussain, S. (2020). Writing equations in algebra: Investigation of students’ misconceptions. Sir Syed Journal of Education & Social Research, 3(4), 22-28. https://doi.org/10.36902/sjesr-vol3-iss4-2020(22-28)
  • 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. https://doi.org/doi:10.1007/s10763-011-9324-x
  • An, S., Kulm, G., & Wu, Z. (2004). The pedagogical content knowledge of middle school mathematics teachers in China and the U.S. Journal of Mathematics Teacher Education, 7 (2), 145–172. https://doi.org/10.1023/B:JMTE.0000021943.35739.1c
  • Aydin-Güç, F., & Aygün, D. (2021). Errors and misconceptions of eighth-grade students regarding operations with algebraic expressions. International Online Journal of Education and Teaching, 8(2), 1106-1126.
  • Baki, A. (1999). Cebirle ilgili işlem yanılgılarının değerlendirilmesi [Evaluation of algebra-related computing misconceptions]. In III. Ulusal Fen Eğitimi Sempozyumu Bildirileri Kitabı [National Science Education Symposium Proceedings Book] (pp.46-49). MEB.
  • Baki, A. (2008). Kuramdan uygulamaya matematik eğitimi [Mathematics education from theory to practice]. Harf Eğitim.
  • Barbieri, C. A., Miller-Cotto, D., & Booth, J. L. (2019). Lessening the load of misconceptions: Design-based principles for algebra learning. Journal of the Learning Sciences, 28(3), 381-417. https://doi.org/10.1080/10508406.2019.1573428
  • Baş, S., Erbaş, A. K. & Çetinkaya, B. (2011). Öğretmenlerin dokuzuncu sınıf öğrencilerinin cebirsel düşünme yapılarıyla ilgili görüşleri [Teachers’ knowledge about ninth grade students’ ways of algebraic thinking]. Education and Science, 36(159), 41-55.
  • Baykul, Y. (2014). Ortaokulda matematik öğretimi (5-8. sınıflar) [Teaching mathematics in secondary school (5th-8th grades)]. Pegem.
  • Bingölbali, F. (2010). The causes of students’ difficulties encountered during the task implementation in mathematics teaching and types of teachers’ interventions [Unpublished master thesis]. Gaziantep University, Gaziantep.
  • Birgin, O., & Demirören, K. (2020). Sekizinci sınıf öğrencilerinin basit görsel ve cebirsel ifadeler konusundaki hata ve kavram yanılgılarının incelenmesi [Investigation of the preservice science teachers’ views and suggestions on the application of the cooperative learning model in distance education environments]. International Journal of Social and Educational Sciences, 7(14), 233-247.
  • Borko, H., & Putnam, R. T. (1996). Learning to teach. In D.C. Berliner and R.C. Calfee (Eds.), Handbook of educational psychology (pp. 673–708). Simon and Schuster Macmillan.
  • Brown, C., & Borko, H. (1992). Becoming a mathematics teacher. In D.A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 209-239). Macmillan Publishing.
  • Bukova-Güzel, E. (2016). Matematik eğitiminde matematiksel modelleme [Mathematical modeling in mathematics education]. Pegem.
  • Bursali, G. 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/ doi: 10.18009/jcer.639384
  • Bush, S. B., & Karp, K. S. (2013). Prerequisite algebra skills and associated misconceptions of middle grade students: a review. The Journal of Mathematical Behavior, 32(3), 613-632. https://doi.org/10.1016/j.jmathb.2013.07.002
  • Çakmak Gürel, Z., & Okur, M. (2018). 7. ve 8. sınıf öğrencilerinin eşitlik ve denklem konusundaki kavram yanılgıları [The misconceptions of 7th and 8th graders on the equality and equation topics]. Cumhuriyet International Journal of Education, 6(4), 479-507. https://doi.org/10.30703/cije.342074
  • Chick, H. L., & Baker, M. K. (2005). Investigating teachers’ responses to student misconceptions. In H. L. Chick, and J. L. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (pp. 249-256). PME.
  • Cochran, K. F., DeRuiter, J. A., & King, R. A. (1993). Pedagogical content knowing: An integrative model for teacher preparation. Journal of Teacher Education, 44(4), 263-272. https://doi.org/10.1177/002248719304400400
  • Dede, Y., & Peker, M. (2007). Students’ errors and misunderstanding towards algebra: Pre-service mathematics teachers’ prediction skills of error and misunderstanding and solution suggestions. Elementary Education Online, 6(1), 35-49.
  • Demirören, K. (2019). Investigation of the 8th grade students' mistakes and misconceptions about algebrary expressions [Unpublished master thesis]. Uşak University, Uşak.
  • Di Martino, P., Gregorio, F., & Iannone, P. (2023). The transition from school to university mathematics in different contexts: affective and sociocultural issues in students’ crisis. Educational Studies in Mathematics, 113(1), 79-106. https://doi.org/10.1007/s10649-022-10179-9
  • Driver, R., & Easley, J. (1978). Pupils and paradigms: A review of literature related to concept development in adolescent science students. Studies in Science Education, 5(1978), 61- 84. https://doi.org/10.1080/03057267808559857
  • Ebenezer, J. V., & Fraser, D. M. (2001). First year chemical engineering students' conceptions of energy in solution processes: Phenomenographic categories for common knowledge construction. Science Education, 85(5), 509-535. https://doi.org/10.1002/sce.1021
  • Erdem, Ö., & Sarpkaya Aktaş, G. (2018). Assessment of activity-based instruction in overcoming 7th grade middle school students’ misconceptions in algebra. Turkish Journal of Computer and Mathematics Education, 9(2), 312-338. https://doi.org/ doi: 10.16949/turkbilmat.333612
  • Ersoy, Y., & Erbaş, A. K. (2005). Kassel projesi cebir testinde bir grup Türk öğrencinin genel başarısı ve öğrenme güçlükleri [General achievement and learning difficulties of a group of Turkish students in the Kassel project algebra test]. Elementary Education Online, 4(1), 18-39.
  • Even, R., & Tirosh, D. (1995). Subject matter knowledge and knowledge about students as sources of teacher presentations of the subject-matter. Educational Studies in Mathematics, 29(1), 1-20. https://doi.org/10.1007/BF01273897
  • Fennema, E., & Franke, M. L. (1992). Teachers' knowledge and its impact. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics (pp. 47–164). Macmillan.
  • Gelbal, S., & Kelecioğlu, H. (2007). Öğretmenlerin ölçme ve değerlendirme yöntemleri hakkındaki yeterlik algıları ve karşılaştıkları sorunlar [Teachers’ proficiency perceptions of about the measurement and evaluation techniques and the problems they confront]. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi [Hacettepe University Journal of Education], 33, 135-145.
  • Gökkurt-Özdemir, B., & Soylu, Y. (2017). Examination of the pedagogical content knowledge of mathematics teachers. International Online Journal of Primary Education, 6(1), 26-39.
  • Grouws, D., & Schultz, K. (1996). Mathematics teacher education. In J. Sikula (Ed.), Handbook of research on teacher education. Macmillan.
  • Güler, M. (2014). Investigating pre-service teachers' knowledge for teaching mathematics: the sample of algebra [Unpublished master thesis]. Karadeniz Technical University, Trabzon. Gür, H., & Kobak Demir, M. (2019). Matematik öğretmenlerinin öğretim profillerinin belirlenmesi [Determining teaching profiles of mathematics teachers]. Uluslararası Eğitim Bilim ve Teknoloji Dergisi [International Journal of Education Science and Technology], 5(2), 67-105.
  • Kaya, D. (2015). A study on the effects of multiple representations-based instruction on students’ algebraic reasoning skills, algebraic thinking levels and attitudes towards mathematics [Unpublished master thesis]. Dokuz Eylül University, İzmir.
  • Kieran, C. (1992). The learning and teaching of school algebra. In D.A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp.390-419). Macmillan.
  • Kılcan, S. A. (2006). The levels of elementary mathematics teachers' conceptual knowledge of the division with fractions [Unpublished master thesis]. Abant İzzet Baysal University, Bolu.
  • Kılıç, H. (2011). Preservice secondary mathematics teachers’ knowledge of students. Turkish Online Journal of Qualitative Inquiry, 2(2), 17-35. https://doi.org/10.17569/tojqi.93311
  • Kimii, C., & Declark. G. (1985). Young children reinvent arithmetic: Implications of Piaget’s theory. Teachers College Press.
  • Kinach, B. M. (2002a). A cognitive strategy for developing pedagogical content knowledge in the secondary mathematics methods course: Toward a model of effective practice. Teaching and Teacher Education, 18(1), 51-71. https://doi.org/10.1016/S0742-051X(01)00050-6
  • Kinach, B. M. (2002b). Understanding and learning-to-explain by representing mathematics: Epistemological dilemmas facing teacher educators in the secondary mathematics “methods'' course. Journal of Mathematics Teacher Education, 5(2), 153-186. https://doi.org/10.1023/A:1015822104536
  • Lambdin, D. V. (1993). The NCTM's 1989 evaluation standards. Recycled ideas whose time has come? In N. L. Webb (Eds.), Assessment in the mathematics classroom: 1993 yearbook (pp. 7-16). National Council of Teachers of Mathematics.
  • Lew, H. C. (2004). Developing algebraic thinking in early grades: case study of Korean elementary school mathematics. The Mathematics Educator, 8(1), 88-106.
  • Lucariello, J., Tine, M. T., & Ganley, C. M. (2014). A formative assessment of students’ algebraic variable misconceptions. The Journal of Mathematical Behavior, 33, 30-41. https://doi.org/10.1016/j.jmathb.2013.09.001
  • Minstrell, J. (1982). Explaining the “at Rest” condition of an object. The Physics Teacher, 20(1), 10-14. https://doi.org/10.1119/1.2340924
  • Morine-Dershimer, G., & Kent, T. (1999). The complex nature and sources of teachers’ pedagogical knowledge. In Examining pedagogical content knowledge (pp.21-50). Springer.
  • Moses, B. (2000). Exploring our world through algebraic thinking. In Mathematics Education Dialogues, 3(2), 1−17.
  • Mulungye, M. M. (2016). Sources of students’ errors and misconceptions in algebra and influence of classroom practice remediation in secondary schools Machakos sub-county, Kenya [Unpublished Master thesis]. Kenyatta University, Kenya.
  • National Council of Teachers of Mathematics [NCTM]. (2000). Principles and standards for school mathematics. Author.
  • Ojose, B. (2015). Students’ misconceptions in mathematics: Analysis of remedies and what research says. Ohio Journal of School Mathematics, 72, 30–35.
  • O'Leary, K., Fitzpatrick, C. L., & Hallett, D. (2017). Math anxiety is related to some, but not all, experiences with math. Frontiers in Psychology, 8, 2067. https://doi.org/10.3389/fpsyg.2017.02067
  • Önen, F., Saka, M., Erdem, A., Uzal, G., & Gürdal, A. (2008). Hizmet içi eğitime katılan fen bilgisi öğretmenlerinin öğretim tekniklerine ilişkin bilgilerindeki değişimin tespiti: Tekirdağ örneği [The knowledges about the methods and technics of teaching relating to teachers who attended to the in service education: sample of Tekirdağ]. Ahi Evran Üniversitesi Kırşehir Eğitim Fakültesi Dergisi [Ahi Evran University Faculty of Education], 9(1), 45-57.
  • Örnekçi, A. (2019). Examination of 8th grade students' errors and misconceptions about the slope of mathematics lesson [Unpublished master thesis]. Erzincan Binali Yıldırım University, Erzincan.
  • Özaltun, A. (2014). Professional development of mathematics teachers: Reflection of knowledge of student thinking on teaching [Unpublished master thesis]. Dokuz Eylül University, İzmir.
  • Ralston, N., & Li, M. (2022). Student conceptions of the equal sign: Knowledge trajectories across the elementary grades. The Elementary School Journal, 122(3), 411-432. https://doi.org/10.1086/717999
  • Rathnayake, R., & Jayakody, G. N. (2022). Diagnosing mathematics ability of technology students: misconceptions in algebra. Advances in Technology, 2(1), 31-37. https://doi.org/10.31357/ait.v2i1.5477
  • Reyes, J. D., Insorio, A. O., Ingreso, M. V., Hilario, F. F., & Gutierrez, C. (2019). Conception and application of contextualization in mathematics education. International Journal of Educational Studies in Mathematics, 6(1), 1-18.
  • Şahin, Ö., & Soylu, Y. (2019). Elementary mathematics teachers canditates’ development of instructional strategies knowledge about algebra. Cumhuriyet International Journal of Education, 8(3), 887-912. https://doi.org/10.30703/cije.582921
  • Sahin, Ö., & Soylu. Y. (2011). Mistakes and misconceptions of elementary school students about the concept of variable. Procedia-Social and Behavioral Sciences, 15, 3322-3327. https://doi.org/10.1016/j.sbspro.2011.04.293
  • Şahin, Ö., Gökkurt, B., & Soylu, Y. (2016). Examining prospective mathematics teachers' pedagogical content knowledge on fractions in terms of students' mistakes. International Journal of Mathematical Education in Science and Technology, 47(4), 531-551. https://doi.org/10.1080/0020739X.2015.1092178
  • Şahin, S. (2011). The influence of a professional development program related to students' mathematical difficulties on teachers’ ways of handling difficulties [Unpublished master thesis]. Gaziantep University, Gaziantep.
  • Şahiner, F. (2018). Misconceptions on algebraic expressions in maths lesson for secondary school 8th grade students [Unpublished master thesis]. Akdeniz University, Antalya.
  • Sarpkaya-Aktaş, G. (Ed.). (2019). Uygulama örnekleriyle cebirsel düşünme ve öğretimi [Algebraic thinking and its teaching with application examples]. Pegem.
  • Schleppenbach, M., Flevares, L. M., Sims, L. M., & Perry, M. (2007). Teachers’ responses to student mistakes in Chinese and US mathematics classrooms. The Elementary School Journal, 108(2), 131-147. https://doi.org/10.1086/525551
  • Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1-22. https://doi.org/10.17763/haer.57.1.j463w79r56455411
  • Strong, D. S., & Cobb., N. B. (2000). Algebra for all: It's a matter of equity, expectations, and effectiveness. In Mathematics Education Dialogues, 3(2), 1-17. National Council of Teachers of Mathematics.
  • Suparno, P. (2005). Miskonsepsi dan perubahan konsep dalam pendidikan fisika [Misconceptions and concept changes in physics education]. Grasindo.
  • Tafara, C. (2015). A study into secondary school students’ misconceptions in algebraic expressions. A case of a secondary school in Bindura district [Unpublished PhD thesis]. Bindura University, Zimbabwe.
  • Thompson, A. G. (1992). Teachers’ beliefs and conceptions: a synthesis of research. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127–146). Macmillan.
  • Tunç, M. P., Durmuş, S., & Akkaya, R. (2014). İlköğretim matematik öğretmen adaylarının matematik öğretiminde somut materyalleri ve sanal öğrenme nesnelerini kullanma yeterlikleri [Primary school mathematics teacher candidates’ competencies in using concrete materials and virtual learning objects in teaching mathematics]. MATDER Mathematics Education Journal, (1), 13-20.
  • Uçar-Sarımanoğlu, N. (2019). The investigation of middle school students’ misconceptions about algebra. Studies in Educational Research and Development, 3(1), 1-22.
  • Welder, R. M. (2012). Improving algebra preparation: implications from research on student misconceptions and difficulties. School Science and Mathematics, 112(4), 255-264. https://doi.org/10.1111/j.1949-8594.2012.00136.x
  • Yang, X., Kaiser, G., König, J., & Blömeke, S. (2020). Relationship between pre-service mathematics teachers’ knowledge, beliefs and instructional practices in China. ZDM, 52, 281-294. https://doi.org/10.1007/s11858-020-01145-x
  • Yasseen, A. R., Yew, W. T., & Meng, C. C. (2020). Misconceptions in school algebra. International Journal of Academic Research in Business and Social Sciences, 10(5), 803-812. https://doi.org/10.6007/IJARBSS/v10-i5/7250
  • Yin, R. K. (2018). Case study research: Design and methods (6th ed.). SAGE.
Toplam 73 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Hüseyin Kabadaş 0000-0002-1679-6088

Hayal Yavuz Mumcu 0000-0002-6720-509X

Yayımlanma Tarihi 25 Temmuz 2024
Gönderilme Tarihi 5 Temmuz 2023
Yayımlandığı Sayı Yıl 2024 Cilt: 17 Sayı: 3

Kaynak Göster

APA Kabadaş, H., & Yavuz Mumcu, H. (2024). Examining the Process of Middle School Math Teachers Diagnosing and Eliminating Student Misconceptions in Algebra. Journal of Theoretical Educational Science, 17(3), 563-591. https://doi.org/10.30831/akukeg.1323295