Araştırma Makalesi
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Matematik Öğretmen Adaylarının Problem Çözme Sürecinde Sergiledikleri Olumsuz Zihinsel Davranışlar

Yıl 2021, Cilt: 10 Sayı: 4, 2176 - 2190, 20.10.2021

Mustafa Obay Halil Coşkun Çelik

https://doi.org/10.33206/mjss.887111
Cited By: 1

Öz

Bu araştırmanın amacı matematik öğretmen adaylarının matematik problemi çözme sürecinde çözümü engelleyen birtakım nedenleri ortaya koymaktır. Araştırmada nitel araştırma yaklaşımına uygun olarak durum çalışması kullanılmıştır. Araştırmanın katılımcıları bir devlet üniversitesinin eğitim fakültesi, matematik eğitimi anabilim dalında okuyan, amaçlı örnekleme yöntemiyle seçilen 24 öğretmen adayıdır. Verilerin toplanmasında katılımcı gözlem süreci ve görüşme formu kullanılmıştır. Araştırmanın sonuçlarına göre matematik öğretmen adaylarının; problem çözme sürecinde çözüm için tekdüze yaklaşımlar kullandıkları, bilgi yetersizliklerinin olduğu, kaygı ve önyargılarının bulunduğu, ayrıca bir takım zihinsel hatalar sergiledikleri belirlenmiştir.

Anahtar Kelimeler

Akıl Yürütme Matematik Bilgisi İlişkilendirme Problem Çözme Zihinsel Hatalar.

Kaynakça

  • Altun, M., Memnun, D. S., & Yazgan, Y. (2007). Primary school teacher trainees’ skills and opinions on solving non-routine mathematical problems. Elementary Education Online, 6(1), 127-143.
  • Arjudin, Sutawidjaja, A., Irawan, E. B., & Sa’dijah, C. (2016). Characterization of mathematical connection errors in derivative problem solving. IOSR Journal of Research & Method in Education, 6(5), 7-12. Atkinson, R.L, Atkinson, R.C, Smith, E.E., Bem, D.J., & Nolan-Hoeksema, S. (2010). Introduction to Psychology (5th Edt.). Ankara: Arkadaş publisher.
  • Aydoğdu, M. & Ayaz, M. F. (2008). Redounding problem-solving skill to students in mathematics. e-Journal of New World Sciences Academy, 3(4), 588-596.
  • Baki, A. (2018). Knowledge of teaching math. Ankara: Pegem Academy Publishing.
  • Ball, D. L., & Bass, H. (2003). Making mathematics reasonable in school. In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 27–44). Reston, VA: National Council of Teachers of Mathematics.
  • Babakhani, N. (2011). The effect of teaching the cognitive and meta-cognitive strategies (self-instruction procedure) on verbal math problem-solving performance of primary school students with verbal problem- solving difficulties. Procedia Social and Behavioral Sciences, 15, 563–570. Doi: 10.1016/j.sbspro.2011.03.142
  • Bergqvist, T., & Lithner, J. (2012). Mathematical reasoning in teachers’ presentations. Journal of Mathematical Behavior, 31, 252–269. Doi: 10.1016/j.jmathb.2011.12.002
  • Biber, B. T., Aylar, E., Ay, Z.S., & İspir, O. A. (2017). Pre-service primary school mathematics teachers' pedagogical content knowledge of problem solving through interviews and in-course practice observations. Kastamonu Education Journal, 25(4), 1483-1498.
  • Breakwell, G.M., Smith, J. A. & Wright, D. B. (2012). Research methods in psychology (4th ed.). Los Angeles: Sage Publications.
  • Businskas, A. M. (2008). Conversations about connections: How secondary mathematics teachers conceptualize and contend with mathematical connections (Unpublished doctorate dissertation). Simon Fraser University, Canada.
  • Creswell, J. W. (2013). Research design (S. B. Demir, Trans.). Ankara: Educating Book.
  • Dede, Y. (2004). Identifying students’ solution strategies in writing algebraic word problems as equations. Educational Science and Practice, 3(6), 175-192.
  • Driscoll, M. P. (2012). Learning psychology. (Ö. F. Tutkun, S. Okay & E. Şahin, Trans.). Ankara: Anı Publishing.
  • Engel, A. (1998). Problem-solving strategies. New York: Springer-Verlag
  • Erbaş, A. K., & Okur, S. (2012). Researching students’ strategies, episodes, and metacognitions in mathematical problem solving. Qual Quant, 46, 89-102. Doi: 10.1007/s11135-010-9329-5
  • Erden, M. (1986). Behaviors of students attending the first phase of primary schools while solving four operational problems. Hacettepe University Journal of Education, 1(1), 105-113.
  • Ersoy, E., & Güner, P. (2014). Mathematics teaching and mathematical thinking. Journal of Research in Education and Teaching, 3(2), 102-112.
  • Ersoy, E., & Güner, P. (2015). The place of problem solving and mathematical thinking in the mathematical teaching. The Online Journal of New Horizons in Education, 5(1), 120-130.
  • Fernandez, M.L., Hadaway, N., & Wilson, J. W. (1994). Problem solving: Managing it. The Mathematics Teacher, 87(3), 195-199.
  • Gümüş, F. Ö. & Umay, A. (2017). Effect of problem-solving strategies instruction on preservice elementary mathematics teachers’ conceptual /procedural solution preferences and problem-solving performance. İlköğretim Online, 16(2), 746-764. Doi: 10.17051/ilkonline.2017.304731.
  • Gurat, M.G. (2018). Mathematical problem-solving strategies among student teachers. Journal on Efficiency and Responsibility in Education and Science, 11(3), 53-64. Doi: 10.7160/ eriesj.2018.110302.
  • Gümüş, F. Ö. (2015). Analysing preservice elementary mathematics teachers’ problem-solving strategies preferences and mathematics self-efficacies. Electronic Journal of Social Sciences, 14(52), 34-42.
  • Intaros, P., Inprasitha, M., &, Srisawadi, N. (2014). Students’ problem-solving strategies in problem solving- mathematics classroom. Procedia - Social and Behavioral Sciences, 116, 4119 – 4123. Doi: 10.1016/j.sbspro.2014.01.901
  • Lithner, J. (2000) Mathematical reasoning and familiar procedures. International Journal of Mathematical Education in Science and Technology, 31(1), 83-95. Doi: 10.1080/002073900287417
  • Merriam, S.B. (2013). Qualitative research (S. Turan, Trans.). Ankara: Nobel Academic Publishing.
  • Ministry of National Education (MoNE) (2013). Secondary school mathematics lesson (5th, 6th, 7th and 8th grades) curriculum. Ankara: Board of Education and Discipline.
  • Norqvist, M. (2016). On mathematical reasoning-being told or finding out. Print & Media, Umeå University Umeå, Sverige. Rerieved January 02, 2020 from https://umu.diva-portal.org/smash/get/diva2:954413/FULLTEXT01.pdf
  • Patton, M. Q. (2014). Qualitative research & Evaluation methods (M. Bütün & S. B. Demir, Trans.). Ankara: Pegem Akademi.
  • Posamentier, A. S., & Krulik, S. (2016). Problem solving in Mathematics (L. Akgün, T. Kar, & M. F. Öçal, Trans.). Ankara: Pegem Academy Publishing.
  • Punch, K. F. (2005). Introduction to social research (D. Bayrak, H. B. Aslan, & Z. Akyüz, Trans.). Ankara: Political Bookstore.
  • Saygılı, S. (2017). Examining the problem-solving skills and the strategies used by high school students in solving non-routine problems. E-International Journal of Educational Research, 8(2), 91-114.
  • Schoenfeld, A. H. (1985). Mathematical problem solving. New York: Academic Press.
  • Tall, D. (2002). Advanced mathematical thinking. New York: Kluwer Academic Publishers.
  • Tambychik, T., & Meerah, T.S.M. (2010). Students’ difficulties in mathematics problem-solving: What do they say? Procedia Social and Behavioral Sciences, 8, 142–151. Doi: 10.1016/j.sbspro.2010.12.020
  • Thanheiser, E., Browning, C., Edson, A. J., Lo, J. J., Whitacre, I., Olanoff, D., & Morton, C. (2014). Pre-service elementary mathematics teacher content knowledge: What do we know, what do we not know, and where do we go? The Mathematics Enthusiast, 11, 433–448. Tjoe, H. (2019). “Looking Back” to solve differently: Familiarity, fluency, and flexibility. In P. Liljedahl & M. Santos-Trigo, (Eds.), Mathematical problem-solving current themes, trends, and research (pp. 3-20). Cham, Switzerland: Springer International Publishing.
  • Umay, A., & Kaf, Y. (2005). A study on flawed reasoning in Mathematics. Hacettepe University Journal of Education, 28, 188-195.
  • Wes Maciejewski (2019). Future-oriented thinking and activity in mathematical problem solving. In P. Liljedahl, M. Santos-Trigo (Eds.). Mathematical problem solving: Current themes, trends and research (pp.21-38), Switzerland: Springer International Publishing.
  • Yıldırım, A. & Şimşek. (2004). Qualitative research methods in the social sciences. Ankara: Seçkin Publishing.

Mathematical Problem-Solving Process: Negative Mental Behaviours Displayed by Pre-Service Mathematics Teachers

Yıl 2021, Cilt: 10 Sayı: 4, 2176 - 2190, 20.10.2021

Mustafa Obay Halil Coşkun Çelik

https://doi.org/10.33206/mjss.887111
Cited By: 1

Öz

The aim of this study is to reveal various reasons that prevent the solution of pre-service mathematics teachers in their mathematical problem-solving process. The case study was used in the research in accordance with the qualitative research approach. Participants of the study consisted of 24 pre-service teachers who were selected by purposeful sampling method and studying mathematics education department of education faculty in a state university. Participant observation process and interview form were used to collect the data. According to the results of the study, it was determined that the pre-service mathematics teachers used monotonous approaches for the solution in the problem-solving process, they had insufficient knowledge, had anxiety and prejudices, and also displayed some mental errors.

Anahtar Kelimeler

Reasoning Mathematics Knowledge Connection Problem-Solving Mental Errors

Kaynakça

  • Altun, M., Memnun, D. S., & Yazgan, Y. (2007). Primary school teacher trainees’ skills and opinions on solving non-routine mathematical problems. Elementary Education Online, 6(1), 127-143.
  • Arjudin, Sutawidjaja, A., Irawan, E. B., & Sa’dijah, C. (2016). Characterization of mathematical connection errors in derivative problem solving. IOSR Journal of Research & Method in Education, 6(5), 7-12. Atkinson, R.L, Atkinson, R.C, Smith, E.E., Bem, D.J., & Nolan-Hoeksema, S. (2010). Introduction to Psychology (5th Edt.). Ankara: Arkadaş publisher.
  • Aydoğdu, M. & Ayaz, M. F. (2008). Redounding problem-solving skill to students in mathematics. e-Journal of New World Sciences Academy, 3(4), 588-596.
  • Baki, A. (2018). Knowledge of teaching math. Ankara: Pegem Academy Publishing.
  • Ball, D. L., & Bass, H. (2003). Making mathematics reasonable in school. In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 27–44). Reston, VA: National Council of Teachers of Mathematics.
  • Babakhani, N. (2011). The effect of teaching the cognitive and meta-cognitive strategies (self-instruction procedure) on verbal math problem-solving performance of primary school students with verbal problem- solving difficulties. Procedia Social and Behavioral Sciences, 15, 563–570. Doi: 10.1016/j.sbspro.2011.03.142
  • Bergqvist, T., & Lithner, J. (2012). Mathematical reasoning in teachers’ presentations. Journal of Mathematical Behavior, 31, 252–269. Doi: 10.1016/j.jmathb.2011.12.002
  • Biber, B. T., Aylar, E., Ay, Z.S., & İspir, O. A. (2017). Pre-service primary school mathematics teachers' pedagogical content knowledge of problem solving through interviews and in-course practice observations. Kastamonu Education Journal, 25(4), 1483-1498.
  • Breakwell, G.M., Smith, J. A. & Wright, D. B. (2012). Research methods in psychology (4th ed.). Los Angeles: Sage Publications.
  • Businskas, A. M. (2008). Conversations about connections: How secondary mathematics teachers conceptualize and contend with mathematical connections (Unpublished doctorate dissertation). Simon Fraser University, Canada.
  • Creswell, J. W. (2013). Research design (S. B. Demir, Trans.). Ankara: Educating Book.
  • Dede, Y. (2004). Identifying students’ solution strategies in writing algebraic word problems as equations. Educational Science and Practice, 3(6), 175-192.
  • Driscoll, M. P. (2012). Learning psychology. (Ö. F. Tutkun, S. Okay & E. Şahin, Trans.). Ankara: Anı Publishing.
  • Engel, A. (1998). Problem-solving strategies. New York: Springer-Verlag
  • Erbaş, A. K., & Okur, S. (2012). Researching students’ strategies, episodes, and metacognitions in mathematical problem solving. Qual Quant, 46, 89-102. Doi: 10.1007/s11135-010-9329-5
  • Erden, M. (1986). Behaviors of students attending the first phase of primary schools while solving four operational problems. Hacettepe University Journal of Education, 1(1), 105-113.
  • Ersoy, E., & Güner, P. (2014). Mathematics teaching and mathematical thinking. Journal of Research in Education and Teaching, 3(2), 102-112.
  • Ersoy, E., & Güner, P. (2015). The place of problem solving and mathematical thinking in the mathematical teaching. The Online Journal of New Horizons in Education, 5(1), 120-130.
  • Fernandez, M.L., Hadaway, N., & Wilson, J. W. (1994). Problem solving: Managing it. The Mathematics Teacher, 87(3), 195-199.
  • Gümüş, F. Ö. & Umay, A. (2017). Effect of problem-solving strategies instruction on preservice elementary mathematics teachers’ conceptual /procedural solution preferences and problem-solving performance. İlköğretim Online, 16(2), 746-764. Doi: 10.17051/ilkonline.2017.304731.
  • Gurat, M.G. (2018). Mathematical problem-solving strategies among student teachers. Journal on Efficiency and Responsibility in Education and Science, 11(3), 53-64. Doi: 10.7160/ eriesj.2018.110302.
  • Gümüş, F. Ö. (2015). Analysing preservice elementary mathematics teachers’ problem-solving strategies preferences and mathematics self-efficacies. Electronic Journal of Social Sciences, 14(52), 34-42.
  • Intaros, P., Inprasitha, M., &, Srisawadi, N. (2014). Students’ problem-solving strategies in problem solving- mathematics classroom. Procedia - Social and Behavioral Sciences, 116, 4119 – 4123. Doi: 10.1016/j.sbspro.2014.01.901
  • Lithner, J. (2000) Mathematical reasoning and familiar procedures. International Journal of Mathematical Education in Science and Technology, 31(1), 83-95. Doi: 10.1080/002073900287417
  • Merriam, S.B. (2013). Qualitative research (S. Turan, Trans.). Ankara: Nobel Academic Publishing.
  • Ministry of National Education (MoNE) (2013). Secondary school mathematics lesson (5th, 6th, 7th and 8th grades) curriculum. Ankara: Board of Education and Discipline.
  • Norqvist, M. (2016). On mathematical reasoning-being told or finding out. Print & Media, Umeå University Umeå, Sverige. Rerieved January 02, 2020 from https://umu.diva-portal.org/smash/get/diva2:954413/FULLTEXT01.pdf
  • Patton, M. Q. (2014). Qualitative research & Evaluation methods (M. Bütün & S. B. Demir, Trans.). Ankara: Pegem Akademi.
  • Posamentier, A. S., & Krulik, S. (2016). Problem solving in Mathematics (L. Akgün, T. Kar, & M. F. Öçal, Trans.). Ankara: Pegem Academy Publishing.
  • Punch, K. F. (2005). Introduction to social research (D. Bayrak, H. B. Aslan, & Z. Akyüz, Trans.). Ankara: Political Bookstore.
  • Saygılı, S. (2017). Examining the problem-solving skills and the strategies used by high school students in solving non-routine problems. E-International Journal of Educational Research, 8(2), 91-114.
  • Schoenfeld, A. H. (1985). Mathematical problem solving. New York: Academic Press.
  • Tall, D. (2002). Advanced mathematical thinking. New York: Kluwer Academic Publishers.
  • Tambychik, T., & Meerah, T.S.M. (2010). Students’ difficulties in mathematics problem-solving: What do they say? Procedia Social and Behavioral Sciences, 8, 142–151. Doi: 10.1016/j.sbspro.2010.12.020
  • Thanheiser, E., Browning, C., Edson, A. J., Lo, J. J., Whitacre, I., Olanoff, D., & Morton, C. (2014). Pre-service elementary mathematics teacher content knowledge: What do we know, what do we not know, and where do we go? The Mathematics Enthusiast, 11, 433–448. Tjoe, H. (2019). “Looking Back” to solve differently: Familiarity, fluency, and flexibility. In P. Liljedahl & M. Santos-Trigo, (Eds.), Mathematical problem-solving current themes, trends, and research (pp. 3-20). Cham, Switzerland: Springer International Publishing.
  • Umay, A., & Kaf, Y. (2005). A study on flawed reasoning in Mathematics. Hacettepe University Journal of Education, 28, 188-195.
  • Wes Maciejewski (2019). Future-oriented thinking and activity in mathematical problem solving. In P. Liljedahl, M. Santos-Trigo (Eds.). Mathematical problem solving: Current themes, trends and research (pp.21-38), Switzerland: Springer International Publishing.
  • Yıldırım, A. & Şimşek. (2004). Qualitative research methods in the social sciences. Ankara: Seçkin Publishing.
Toplam 38 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Mustafa Obay 0000-0002-2537-9438

Halil Coşkun Çelik 0000-0003-0056-5338

Yayımlanma Tarihi 20 Ekim 2021
Gönderilme Tarihi 26 Şubat 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 10 Sayı: 4

Kaynak Göster

APA Obay, M., & Çelik, H. C. (2021). Mathematical Problem-Solving Process: Negative Mental Behaviours Displayed by Pre-Service Mathematics Teachers. MANAS Sosyal Araştırmalar Dergisi, 10(4), 2176-2190. https://doi.org/10.33206/mjss.887111
AMA Obay M, Çelik HC. Mathematical Problem-Solving Process: Negative Mental Behaviours Displayed by Pre-Service Mathematics Teachers. MJSS. Ekim 2021;10(4):2176-2190. doi:10.33206/mjss.887111
Chicago Obay, Mustafa, ve Halil Coşkun Çelik. “Mathematical Problem-Solving Process: Negative Mental Behaviours Displayed by Pre-Service Mathematics Teachers”. MANAS Sosyal Araştırmalar Dergisi 10, sy. 4 (Ekim 2021): 2176-90. https://doi.org/10.33206/mjss.887111.
EndNote Obay M, Çelik HC (01 Ekim 2021) Mathematical Problem-Solving Process: Negative Mental Behaviours Displayed by Pre-Service Mathematics Teachers. MANAS Sosyal Araştırmalar Dergisi 10 4 2176–2190.
IEEE M. Obay ve H. C. Çelik, “Mathematical Problem-Solving Process: Negative Mental Behaviours Displayed by Pre-Service Mathematics Teachers”, MJSS, c. 10, sy. 4, ss. 2176–2190, 2021, doi: 10.33206/mjss.887111.
ISNAD Obay, Mustafa - Çelik, Halil Coşkun. “Mathematical Problem-Solving Process: Negative Mental Behaviours Displayed by Pre-Service Mathematics Teachers”. MANAS Sosyal Araştırmalar Dergisi 10/4 (Ekim 2021), 2176-2190. https://doi.org/10.33206/mjss.887111.
JAMA Obay M, Çelik HC. Mathematical Problem-Solving Process: Negative Mental Behaviours Displayed by Pre-Service Mathematics Teachers. MJSS. 2021;10:2176–2190.
MLA Obay, Mustafa ve Halil Coşkun Çelik. “Mathematical Problem-Solving Process: Negative Mental Behaviours Displayed by Pre-Service Mathematics Teachers”. MANAS Sosyal Araştırmalar Dergisi, c. 10, sy. 4, 2021, ss. 2176-90, doi:10.33206/mjss.887111.
Vancouver Obay M, Çelik HC. Mathematical Problem-Solving Process: Negative Mental Behaviours Displayed by Pre-Service Mathematics Teachers. MJSS. 2021;10(4):2176-90.

Cited By

Yabancı Uyruklu Öğretmen Adaylarının Matematikte Problem Çözme ve Problem Kurma Becerilerinin İncelenmesi: Siirt Üniversitesi Örneği
Afyon Kocatepe Üniversitesi Sosyal Bilimler Dergisi
https://doi.org/10.32709/akusosbil.1051813

MANAS Journal of Social Studies (MANAS Sosyal Araştırmalar Dergisi)     


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