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Examination of a middle School mathematics preservice teacher’s interpretation skills

Year 2021, , 413 - 437, 31.08.2021
https://doi.org/10.30900/kafkasegt.959043

Abstract

This study aims to explore one preservice teacher’s interpretation of students’ mathematical thinking using pattern recognition and linear function tasks. Specifically, the research question for this study was as follows: How does a preservice middle grade mathematics teacher interpret students’ mathematical thinking using tasks designed to test students’ pattern recognition and linear function abilities? The preservice teacher, Amy, was a middle school preservice teacher from the Mathematics and Science Education Department of a major land-grant university in the southeastern Unites States. The data consists of Amy’s responses during a face-to-face, semi-structured interview, written work she produced during the interview, and a careful analysis of a transcript of the interview. With regards to interpreting important mathematical ideas in students’ work in the National Council of Teachers of Mathematics [NCTM] videos, this study found that the preservice teacher provided explanations of specific important mathematical ideas and their meaning. When the preservice teacher interpreted students’ mistakes or misconceptions, she explained the misconceptions mathematically rather than providing specific examples from the video. In terms of interpreting the similarities between students’ reasoning, the preservice teacher’s description of the similarities between students’ reasoning was broad. Depending on the task and how many times she watched the videos, either one or two times, the extent to which she provided evidence varied when she interpreted the differences between students’ reasoning. This study revealed that the strength of the preservice teacher’s interpretation strategies varied depending on the tasks. The preservice teacher did not provide detailed explanations of students’ reasonings when watching NCTM videos even though she solved all the tasks in multiple ways and explained the key concepts while solving the problems.

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Thank you very much for your consideration and interest.

References

  • Amador, J. M., Carter, I., Hudson, R. A., & Galindo, E. (2017). Following a teacher’s mathematical and scientific noticing across career progression from field experiences to classroom teaching. In Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 161–181). Cham: Springer.
  • Blömeke, S., Gustafsson, J. E., & Shavelson, R. J. (2015a). Beyond dichotomies: Competence viewed as a continuum. Zeitschrift für Psychologie, 223(1), 3–13.
  • Callejo, M. L., & Zapatera, A. (2017). Prospective primary teachers’ noticing of students’ understanding of pattern generalization. Journal of Mathematics Teacher Education, 20(4), 309–333.
  • Choppin, J. (2011). The impact of professional noticing on teachers' adaptations of challenging tasks. Mathematical Thinking and Learning, 13(3), 175–197.
  • Didis, M. G., Erbas, A. K., Cetinkaya, B., Cakiroglu, E., & Alacaci, C. (2016). Exploring prospective secondary mathematics teachers’ interpretation of student thinking through analysing students’ work in modelling. Mathematics Education Research Journal, 28(3), 349–378.
  • Dreher, A., & Kuntze, S. (2015). Teachers’ professional knowledge and noticing: The case of multiple representations in the mathematics classroom. Educational Studies in Mathematics, 88(1), 89–114.
  • Dyer, E. B., & Sherin, M. G. (2016). Instructional reasoning about interpretations of student thinking that supports responsive teaching in secondary mathematics. ZDM, 48(1-2), 69–82.
  • Fernández, C., Llinares, S., & Valls, J. (2013). Primary school teacher's noticing of students' mathematical thinking in problem solving. The Mathematics Enthusiast, 10(1-2), 441–468.
  • Fisher, M. H., Thomas, J., Schack, E. O., Jong, C., & Tassell, J. (2018). Noticing numeracy now! Examining changes in preservice teachers’ noticing, knowledge, and attitudes. Mathematics Education Research Journal, 30(2), 209–232.
  • Heinrichs, H., & Kaiser, G. (2018). Diagnostic competence for dealing with students’ errors: Fostering diagnostic competence in error situations. In T. Leuders, K. Philipp, & J. Leuders (Eds.), Diagnostic competence of mathematics teachers (pp. 79-94). Cham: Springer.
  • Herppich, S., Praetorius, A. K., Förster, N., Glogger-Frey, I., Karst, K., Leutner, D., ... & Südkamp, A. (2018). Teachers' assessment competence: Integrating knowledge-, process, and product-oriented approaches into a competence-oriented conceptual model. Teaching and Teacher Education, 76, 181–193.
  • Hines, E., & McMahon, M. T. (2005). Interpreting middle school students' proportional reasoning strategies: Observations from preservice teachers. School Science and Mathematics, 105(2), 88–105.
  • Ingram, J. (2014). Supporting student teachers in developing and applying professional knowledge with videoed events. European Journal of Teacher Education, 37(1), 51–62.
  • Jacobs, V. R., & Empson, S. B. (2016). Responding to children’s mathematical thinking in the moment: an emerging framework of teaching moves. ZDM, 48(1-2), 185–197.
  • Jakobsen, A., Ribeiro, C. M., & Mellone, M. (2014). Norwegian prospective teachers’ MKT when interpreting pupils’ productions on a fraction task. Nordic Studies in Mathematics Education, 19(3-4), 135–150.
  • Jong, C., Thomas, J. N., Fisher, M. H., Schack, E. O., Davis, M. A., & Bickett, M. E. (2017). Decimal Dilemmas: Interpreting and Addressing Misconceptions. Ohio Journal of School Mathematics, 75(1), 13–20.
  • Kaiser, G., Busse, A., Hoth, J., König, J., & Blömeke, S. (2015). About the complexities of video-based assessments: Theoretical and methodological approaches to overcoming shortcomings of research on teachers’ competence. International Journal of Science and Mathematics Education, 13(2), 369–387.
  • Kersting, N. (2008). Using video clips of mathematics classroom instruction as item prompts to measure teachers' knowledge of teaching mathematics. Educational and Psychological Measurement, 68(5), 845–861.
  • Kilic, H. (2018). Pre-service Mathematics Teachers’ Noticing Skills and Scaffolding Practices. International Journal of Science and Mathematics Education, 16(2), 377–400.
  • Kilic, H. & Dogan, O. (2021) Preservice Mathematics Teachers’ Noticing in Action and in Reflection. International Journal of Science and Mathematics Education, https://doi.org/10.1007/s10763-020-10141-2
  • Knievel, I., Lindmeier, A. M., & Heinze, A. (2015). Beyond knowledge: Measuring primary teachers’ subject-specific competences in and for teaching mathematics with items based on video vignettes. International Journal of Science and Mathematics Education, 13(2), 309–329.
  • König, J., Blömeke, S., Klein, P., Suhl, U., Busse, A., & Kaiser, G. (2014). Is teachers' general pedagogical knowledge a premise for noticing and interpreting classroom situations? A video-based assessment approach. Teaching and Teacher Education, 38, 76–88.
  • Krupa, E. E., Huey, M., Lesseig, K., Casey, S., & Monson, D. (2017). Investigating secondary preservice teacher noticing of students’ mathematical thinking. In E. O. Schack, M. H. Fisher, & J. Wilhelm, (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 49–72). Cham: Springer.
  • Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the Unites States. Mahwah, NJ: Lawrence Erlbaum.
  • Mason, J. (2002). Researching your own practice: The discipline of noticing. London: Routhledge-Falmer.
  • Mason, J. (2011). Noticing: Roots and branches. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 35–50). New York: Routledge.
  • Maxwell, J. A. (1996) Qualitative research design: An interactive approach. Thousand Oaks, CA: Sage Publications.
  • McDuffie, A. R., Foote, M. Q., Bolson, C., Turner, E. E., Aguirre, J. M., Bartell, T. G., ... & Land, T. (2014). Using video analysis to support prospective K-8 teachers’ noticing of students’ multiple mathematical knowledge bases. Journal of Mathematics Teacher Education, 17(3), 245–270.
  • Mitchell, R. N., & Marin, K. A. (2015). Examining the use of a structured analysis framework to support prospective teacher noticing. Journal of Mathematics Teacher Education, 18(6), 551–575.
  • Nickerson, S. D., Lamb, L., & LaRochelle, R. (2017). Challenges in measuring secondary mathematics teachers’ professional noticing of students’ mathematical thinking. In E. O. Schack, M. H. Fisher, & J. Wilhelm, (Eds.), Teacher noticing: bridging and broadening perspectives, contexts, and frameworks (pp. 381-398). Cham: Springer.
  • Norton, A., McCloskey, A., & Hudson, R. A. (2011). Prediction assessments: Using video-based predictions to assess prospective teachers’ knowledge of students’ mathematical thinking. Journal of Mathematics Teacher Education, 14(4), 305–325.
  • Phelps-Gregory, C. M., & Spitzer, S. M. (2018). Developing prospective teachers’ ability to diagnose evidence of student thinking: Replicating a classroom intervention. In T. Leuders, K. Philipp, & J. Leuders, (Eds.), Diagnostic competence of mathematics teachers (pp. 223–240). Cham: Springer.
  • Santagata, R., & Yeh, C. (2016). The role of perception, interpretation, and decision making in the development of beginning teachers’ competence. ZDM, 48(1-2), 153–165.
  • Schack, E. O., Fisher, M. H., Thomas, J. N., Eisenhardt, S., Tassell, J., & Yoder, M. (2013). Prospective elementary school teachers’ professional noticing of children’s early numeracy. Journal of Mathematics Teacher Education, 16(5), 379–397.
  • Sánchez-Matamoros, G., Fernández, C., & Llinares, S. (2015). Developing preservice teachers’ noticing of students’ understanding of the derivative concept. International Journal of Science and Mathematics Education, 13(6), 1305–1329.
  • Sánchez-Matamoros, G., Fernández, C., & Llinares, S. (2019). Relationships among prospective secondary mathematics teachers’ skills of attending, interpreting and responding to students’ understanding. Educational Studies in Mathematics, 100(1), 83–99.
  • Schäfer, S., & Seidel, T. (2015). Noticing and reasoning of teaching and learning components by pre-service teachers. Journal for Educational Research Online, 7(2), 34–58.
  • Scherrer, J., & Stein, M. K. (2013). Effects of a coding intervention on what teachers learn to notice during whole-group discussion. Journal of Mathematics Teacher Education, 16(2), 105–124.
  • Sharpe, L., Hu, C., Crawford, L., Gopinathan, S., Khine, M., & Moo, S. (2003). Enhancing multipoint desktop video conferencing (MDVC) with lesson video clips: Recent developments in pre-service teaching practice in Singapore. Teaching and Teacher Education, 19(5), 529–541.
  • Simpson, A., & Haltiwanger, L. (2017). “This is the First Time I’ve Done This”: Exploring secondary prospective mathematics teachers’ noticing of students’ mathematical thinking. Journal of Mathematics Teacher Education, 20(4), 335–355.
  • Son, J. W. (2013). How preservice teachers interpret and respond to student errors: ratio and proportion in similar rectangles. Educational Studies in Mathematics, 84(1), 49–70.
  • Superfine, A. C., Fisher, A., Bragelman, J., & Amador, J. M. (2017). Shifting perspectives on preservice teachers’ noticing of children’s mathematical thinking. In E. O. Schack, M. H. Fisher, & J. Wilhelm, (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 409–426). Cham: Springer.
  • Patton, M. Q. (2002). Qualitative research and evaluation methods (3rd ed.). Thousand Oaks, CA: Sage.
  • Tanışlı, D., Yavuzsoy Köse, N., Camci, F. (2017). Matematik Öğretmen Adaylarının Örüntüler Bağlamında Genelleme ve Doğrulama Bilgileri. Eğitimde Nitel Araştırmalar Dergisi, 5(3), 195–222.
  • Teuscher, D., Leatham, K. R., & Peterson, B. E. (2017). From a framework to a lens: Learning to notice student mathematical thinking. In E. O. Schack, M. H. Fisher, & J. Wilhelm, (Eds.), Teacher noticing: Bridging and broadening perspectives, Contexts, and Frameworks (pp. 31–48). Cham: Springer.
  • Tunney, J. W., & van Es, E. A. (2016). Using video for teacher-educator professional development. The New Educator, 12(1), 105–127.
  • Ulusoy, F. (2020). Prospective teachers’ skills of attending, interpreting and responding to content-specific characteristics of mathematics instruction in classroom videos. Teaching and Teacher Education, 94, https://doi.org/10.1016/j.tate.2020.103103
  • Ulusoy, F., & Çakıroğlu, E. (2020). Exploring prospective teachers’ noticing of students' understanding through micro-case videos. Journal of Mathematics Teacher Education, 24(3), 253–282.
  • van den Kieboom, L. A., Magiera, M. T., & Moyer, J. C. (2017). Learning to notice student thinking about the equal sign: K-8 preservice teachers’ experiences in a teacher preparation program. In E. O. Schack, M. H. Fisher, & J. Wilhelm, (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 49–72). Cham: Springer.

Bir ortaokul matematik öğretmen adayının yorumlama becerilerinin incelenmesi

Year 2021, , 413 - 437, 31.08.2021
https://doi.org/10.30900/kafkasegt.959043

Abstract

Bu çalışmanın amacı, bir öğretmen adayının, örüntü tanıma ve doğrusal fonksiyon görevlerini kullanarak öğrencilerin matematiksel düşüncelerini yorumlamasını incelemektir. Spesifik olarak, bu çalışma için araştırma sorusu şu şekildedir: Bir ortaokul matematik öğretmeni adayı, öğrencilerin örüntü tanıma ve doğrusal fonksiyon yeteneklerini test etmek için tasarlanmış görevleri kullanarak öğrencilerin matematiksel düşünmesini nasıl yorumlar? Öğretmen adayı Amy, Amerika Birleşik Devletleri'nin güneydoğusundaki büyük bir üniversitenin Matematik ve Fen Eğitimi Bölümü'nden bir ortaokul öğretmen adayıydı. Veriler, Amy'nin yüz yüze, yarı yapılandırılmış görüşme sırasında verdiği yanıtlar ve görüşme sırasında ürettiği yazılı çalışma ile görüşmenin transkriptinden oluşmaktadır. Bu çalışma, NCTM videolarındaki öğrencilerin çalışmalarında yer alan önemli matematiksel fikirlerin yorumlanması açısından, öğretmen adayının spesifik önemli matematiksel fikirleri ve onların anlamlarını açıkladığını tespit etmiştir. Öğretmen adayı öğrencilerin hatalarını veya kavram yanılgılarını yorumlarken videodan belirli örnekler vermekten ziyade kavram yanılgılarını matematiksel olarak açıklamıştır. Öğrencilerin akıl yürütmeleri arasındaki benzerlikleri yorumlama açısından, öğretmen adayının öğrencilerin akıl yürütmeleri arasındaki benzerliklere ilişkin açıklaması yüzeysel olmuştur. Göreve ve videoları kaç kez, bir veya iki kez, izlediğine bağlı olarak, öğretmen adayının öğrencilerin akıl yürütmeleri arasındaki farklılıkları yorumlarken kanıt sunma derecesi çeşitlilik gösterdi. Bu çalışma, öğretmen adayının yorumlama stratejilerinin gücünün görevlere bağlı olarak değiştiğini ortaya koymuştur. Öğretmen adayı tüm görevleri birden fazla şekilde çözmüş ve problemleri çözerken anahtar kavramları açıklamış olmasına rağmen derinlemesine yorumlama stratejileri sağlamamıştır.

References

  • Amador, J. M., Carter, I., Hudson, R. A., & Galindo, E. (2017). Following a teacher’s mathematical and scientific noticing across career progression from field experiences to classroom teaching. In Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 161–181). Cham: Springer.
  • Blömeke, S., Gustafsson, J. E., & Shavelson, R. J. (2015a). Beyond dichotomies: Competence viewed as a continuum. Zeitschrift für Psychologie, 223(1), 3–13.
  • Callejo, M. L., & Zapatera, A. (2017). Prospective primary teachers’ noticing of students’ understanding of pattern generalization. Journal of Mathematics Teacher Education, 20(4), 309–333.
  • Choppin, J. (2011). The impact of professional noticing on teachers' adaptations of challenging tasks. Mathematical Thinking and Learning, 13(3), 175–197.
  • Didis, M. G., Erbas, A. K., Cetinkaya, B., Cakiroglu, E., & Alacaci, C. (2016). Exploring prospective secondary mathematics teachers’ interpretation of student thinking through analysing students’ work in modelling. Mathematics Education Research Journal, 28(3), 349–378.
  • Dreher, A., & Kuntze, S. (2015). Teachers’ professional knowledge and noticing: The case of multiple representations in the mathematics classroom. Educational Studies in Mathematics, 88(1), 89–114.
  • Dyer, E. B., & Sherin, M. G. (2016). Instructional reasoning about interpretations of student thinking that supports responsive teaching in secondary mathematics. ZDM, 48(1-2), 69–82.
  • Fernández, C., Llinares, S., & Valls, J. (2013). Primary school teacher's noticing of students' mathematical thinking in problem solving. The Mathematics Enthusiast, 10(1-2), 441–468.
  • Fisher, M. H., Thomas, J., Schack, E. O., Jong, C., & Tassell, J. (2018). Noticing numeracy now! Examining changes in preservice teachers’ noticing, knowledge, and attitudes. Mathematics Education Research Journal, 30(2), 209–232.
  • Heinrichs, H., & Kaiser, G. (2018). Diagnostic competence for dealing with students’ errors: Fostering diagnostic competence in error situations. In T. Leuders, K. Philipp, & J. Leuders (Eds.), Diagnostic competence of mathematics teachers (pp. 79-94). Cham: Springer.
  • Herppich, S., Praetorius, A. K., Förster, N., Glogger-Frey, I., Karst, K., Leutner, D., ... & Südkamp, A. (2018). Teachers' assessment competence: Integrating knowledge-, process, and product-oriented approaches into a competence-oriented conceptual model. Teaching and Teacher Education, 76, 181–193.
  • Hines, E., & McMahon, M. T. (2005). Interpreting middle school students' proportional reasoning strategies: Observations from preservice teachers. School Science and Mathematics, 105(2), 88–105.
  • Ingram, J. (2014). Supporting student teachers in developing and applying professional knowledge with videoed events. European Journal of Teacher Education, 37(1), 51–62.
  • Jacobs, V. R., & Empson, S. B. (2016). Responding to children’s mathematical thinking in the moment: an emerging framework of teaching moves. ZDM, 48(1-2), 185–197.
  • Jakobsen, A., Ribeiro, C. M., & Mellone, M. (2014). Norwegian prospective teachers’ MKT when interpreting pupils’ productions on a fraction task. Nordic Studies in Mathematics Education, 19(3-4), 135–150.
  • Jong, C., Thomas, J. N., Fisher, M. H., Schack, E. O., Davis, M. A., & Bickett, M. E. (2017). Decimal Dilemmas: Interpreting and Addressing Misconceptions. Ohio Journal of School Mathematics, 75(1), 13–20.
  • Kaiser, G., Busse, A., Hoth, J., König, J., & Blömeke, S. (2015). About the complexities of video-based assessments: Theoretical and methodological approaches to overcoming shortcomings of research on teachers’ competence. International Journal of Science and Mathematics Education, 13(2), 369–387.
  • Kersting, N. (2008). Using video clips of mathematics classroom instruction as item prompts to measure teachers' knowledge of teaching mathematics. Educational and Psychological Measurement, 68(5), 845–861.
  • Kilic, H. (2018). Pre-service Mathematics Teachers’ Noticing Skills and Scaffolding Practices. International Journal of Science and Mathematics Education, 16(2), 377–400.
  • Kilic, H. & Dogan, O. (2021) Preservice Mathematics Teachers’ Noticing in Action and in Reflection. International Journal of Science and Mathematics Education, https://doi.org/10.1007/s10763-020-10141-2
  • Knievel, I., Lindmeier, A. M., & Heinze, A. (2015). Beyond knowledge: Measuring primary teachers’ subject-specific competences in and for teaching mathematics with items based on video vignettes. International Journal of Science and Mathematics Education, 13(2), 309–329.
  • König, J., Blömeke, S., Klein, P., Suhl, U., Busse, A., & Kaiser, G. (2014). Is teachers' general pedagogical knowledge a premise for noticing and interpreting classroom situations? A video-based assessment approach. Teaching and Teacher Education, 38, 76–88.
  • Krupa, E. E., Huey, M., Lesseig, K., Casey, S., & Monson, D. (2017). Investigating secondary preservice teacher noticing of students’ mathematical thinking. In E. O. Schack, M. H. Fisher, & J. Wilhelm, (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 49–72). Cham: Springer.
  • Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the Unites States. Mahwah, NJ: Lawrence Erlbaum.
  • Mason, J. (2002). Researching your own practice: The discipline of noticing. London: Routhledge-Falmer.
  • Mason, J. (2011). Noticing: Roots and branches. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 35–50). New York: Routledge.
  • Maxwell, J. A. (1996) Qualitative research design: An interactive approach. Thousand Oaks, CA: Sage Publications.
  • McDuffie, A. R., Foote, M. Q., Bolson, C., Turner, E. E., Aguirre, J. M., Bartell, T. G., ... & Land, T. (2014). Using video analysis to support prospective K-8 teachers’ noticing of students’ multiple mathematical knowledge bases. Journal of Mathematics Teacher Education, 17(3), 245–270.
  • Mitchell, R. N., & Marin, K. A. (2015). Examining the use of a structured analysis framework to support prospective teacher noticing. Journal of Mathematics Teacher Education, 18(6), 551–575.
  • Nickerson, S. D., Lamb, L., & LaRochelle, R. (2017). Challenges in measuring secondary mathematics teachers’ professional noticing of students’ mathematical thinking. In E. O. Schack, M. H. Fisher, & J. Wilhelm, (Eds.), Teacher noticing: bridging and broadening perspectives, contexts, and frameworks (pp. 381-398). Cham: Springer.
  • Norton, A., McCloskey, A., & Hudson, R. A. (2011). Prediction assessments: Using video-based predictions to assess prospective teachers’ knowledge of students’ mathematical thinking. Journal of Mathematics Teacher Education, 14(4), 305–325.
  • Phelps-Gregory, C. M., & Spitzer, S. M. (2018). Developing prospective teachers’ ability to diagnose evidence of student thinking: Replicating a classroom intervention. In T. Leuders, K. Philipp, & J. Leuders, (Eds.), Diagnostic competence of mathematics teachers (pp. 223–240). Cham: Springer.
  • Santagata, R., & Yeh, C. (2016). The role of perception, interpretation, and decision making in the development of beginning teachers’ competence. ZDM, 48(1-2), 153–165.
  • Schack, E. O., Fisher, M. H., Thomas, J. N., Eisenhardt, S., Tassell, J., & Yoder, M. (2013). Prospective elementary school teachers’ professional noticing of children’s early numeracy. Journal of Mathematics Teacher Education, 16(5), 379–397.
  • Sánchez-Matamoros, G., Fernández, C., & Llinares, S. (2015). Developing preservice teachers’ noticing of students’ understanding of the derivative concept. International Journal of Science and Mathematics Education, 13(6), 1305–1329.
  • Sánchez-Matamoros, G., Fernández, C., & Llinares, S. (2019). Relationships among prospective secondary mathematics teachers’ skills of attending, interpreting and responding to students’ understanding. Educational Studies in Mathematics, 100(1), 83–99.
  • Schäfer, S., & Seidel, T. (2015). Noticing and reasoning of teaching and learning components by pre-service teachers. Journal for Educational Research Online, 7(2), 34–58.
  • Scherrer, J., & Stein, M. K. (2013). Effects of a coding intervention on what teachers learn to notice during whole-group discussion. Journal of Mathematics Teacher Education, 16(2), 105–124.
  • Sharpe, L., Hu, C., Crawford, L., Gopinathan, S., Khine, M., & Moo, S. (2003). Enhancing multipoint desktop video conferencing (MDVC) with lesson video clips: Recent developments in pre-service teaching practice in Singapore. Teaching and Teacher Education, 19(5), 529–541.
  • Simpson, A., & Haltiwanger, L. (2017). “This is the First Time I’ve Done This”: Exploring secondary prospective mathematics teachers’ noticing of students’ mathematical thinking. Journal of Mathematics Teacher Education, 20(4), 335–355.
  • Son, J. W. (2013). How preservice teachers interpret and respond to student errors: ratio and proportion in similar rectangles. Educational Studies in Mathematics, 84(1), 49–70.
  • Superfine, A. C., Fisher, A., Bragelman, J., & Amador, J. M. (2017). Shifting perspectives on preservice teachers’ noticing of children’s mathematical thinking. In E. O. Schack, M. H. Fisher, & J. Wilhelm, (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 409–426). Cham: Springer.
  • Patton, M. Q. (2002). Qualitative research and evaluation methods (3rd ed.). Thousand Oaks, CA: Sage.
  • Tanışlı, D., Yavuzsoy Köse, N., Camci, F. (2017). Matematik Öğretmen Adaylarının Örüntüler Bağlamında Genelleme ve Doğrulama Bilgileri. Eğitimde Nitel Araştırmalar Dergisi, 5(3), 195–222.
  • Teuscher, D., Leatham, K. R., & Peterson, B. E. (2017). From a framework to a lens: Learning to notice student mathematical thinking. In E. O. Schack, M. H. Fisher, & J. Wilhelm, (Eds.), Teacher noticing: Bridging and broadening perspectives, Contexts, and Frameworks (pp. 31–48). Cham: Springer.
  • Tunney, J. W., & van Es, E. A. (2016). Using video for teacher-educator professional development. The New Educator, 12(1), 105–127.
  • Ulusoy, F. (2020). Prospective teachers’ skills of attending, interpreting and responding to content-specific characteristics of mathematics instruction in classroom videos. Teaching and Teacher Education, 94, https://doi.org/10.1016/j.tate.2020.103103
  • Ulusoy, F., & Çakıroğlu, E. (2020). Exploring prospective teachers’ noticing of students' understanding through micro-case videos. Journal of Mathematics Teacher Education, 24(3), 253–282.
  • van den Kieboom, L. A., Magiera, M. T., & Moyer, J. C. (2017). Learning to notice student thinking about the equal sign: K-8 preservice teachers’ experiences in a teacher preparation program. In E. O. Schack, M. H. Fisher, & J. Wilhelm, (Eds.), Teacher noticing: Bridging and broadening perspectives, contexts, and frameworks (pp. 49–72). Cham: Springer.
There are 49 citations in total.

Details

Primary Language English
Subjects Other Fields of Education
Journal Section Makaleler
Authors

Ebru Ersarı 0000-0002-0324-3185

Publication Date August 31, 2021
Submission Date June 28, 2021
Published in Issue Year 2021

Cite

APA Ersarı, E. (2021). Examination of a middle School mathematics preservice teacher’s interpretation skills. E-Kafkas Journal of Educational Research, 8(2), 413-437. https://doi.org/10.30900/kafkasegt.959043

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