Research Article
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Year 2021, Volume: 2 Issue: 2, 73 - 91, 19.11.2021
https://doi.org/10.5281/zenodo.7584295

Abstract

References

  • Adams, T. L. (2003). Reading mathematics: More than words can say. The Reading Teacher, 56(8), 786–795.
  • Akarsu, E. (2013). The investigation of using mathematical language of 7th graders on algebra. (Unpublished Master Thesis). Dokuz Eylül University, Izmir.
  • Altun, M. (2005). İlköğretim ikinci kademede (6, 7 ve 8. sınıflarda) matematik öğretimi. Bursa: Alfa Akademi.
  • Altun, M. (2015). Matematik Öğretimi. Bursa: Alfa Akademi.
  • Anghileri, J. (2005). Children’s Mathematical Thinking in Primary Years. London: Continuum.
  • Aydoğdu, T., & Oklun, S. (2004). Elementary school students’ successes in choosing an operation for additive Word problems. Eurasion Journal of Educational Research, 16(4), 27-38.
  • Baki, A., Karataş, İ., & Güven, B. (2002). Klinik mülakat yöntemi ile problem çözme becerilerinin değerlendirilmesi. Ulusal Fen Bilimleri ve Matematik Eğitimi Kongresi, Orta Doğu Teknik Üniversitesi 15-18 Eylül, Ankara.
  • Baykul, Y. (2014). Ortaokulda Matematik Öğretimi (5-8. sınıflar), (2. Baskı). Ankara: Pegem.
  • Baykul, Y. (2016). İlkokulda Matematik Öğretimi. Ankara: Pegem.
  • Brown, S. L., & Walter, M. I. (1983). The art of problem posing. Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Çakmak, Z. (2013). An investigation of the variables related to 8th grade students' mathematical language skills in statistics through structural equitation model. (Unpublished Master Thesis). Erzincan University, Erzincan.
  • Çalıkoğlu-Bali, G. (2002). Language in mathematics teaching scale. Hacettepe University Journal of Education, 23, 57-61.
  • Dur, Z. (2010). Exploring students’ ability of using mathematical language through writing stories in communication with respect to different variables (Unpublished Master Thesis) Hacettepe University, Ankara.
  • Duval, R. (2006). A cognitive analysis of problems of comprehension in a learning of mathematics. Educational studies in mathematics, 61(1-2), 103-131.
  • English, L. D., Lesh, R., & Fennewald, T. (2008). Future directions and perspectives for problem solving research and curriculum development. In Proceedings of the 11th International Congress on Mathematical Education.
  • Ferrari, P. L. (2004). Mathematical language and advanced mathematics learning. The 28th International Conference of The International Group For The Psychology of Mathematics Education, 2, 14–18.
  • Gonzales, N. A. (1998). A blueprint for problem posing. School Science and Mathematics, 98(8), 448-456.
  • Haylock, D., & Cockburn, A. (2014). Küçük Çocuklar için Matematiği Anlama.Zuhal Yılmaz (Çev. Ed). Ankara: Nobel.
  • Karaçay, T. (2011). Matematik ve dil. Mantık, Matematik ve Felsefe. IX. Ulusal Sempozyumu, Foça.
  • Karakuyu, E., & Şenyurt C. (2016). İlköğretim Matematik 4. Sınıf Öğretmen Kılavuz Kitabı. Karakuyu, P. (Ed), Ankara: Dikey.
  • Kula-Yeşil, D. (2015). Eighth grade students’ mathematical language usage in the context of quadrilaterals: syntax and semantic components. (Unpublished Master Thesis). Anadolu University, Eskişehir.
  • Leikin, R., Leikin, M., Waisman, I., & Shaul, S. (2013). Effect of the presence of external representations on accuracy and reaction time in solving mathematical double-choice problems by students of different levels of instruction. International Journal of Science and Mathematics Education, 11(5), 1049-1066.
  • Lesser, L., & Tchoshanov, M. (2005). The effect of representation and representational sequence on students’ understanding. In Lloyd, G. M., Wilson, M., Wilkins, J.L.M., & Behm, S.L. (Eds.). Proceedings of the 27th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.
  • Mason, L. (2003). High school students' beliefs about maths, mathematical problem solving, and their achievement in maths: A cross-sectional study. Educational psychology, 23(1), 73-85.
  • Mayer, R. E. (1982). The psychology of mathematical problem solving: In FK Lester & J. Garofalo (Eds.), Mathematical problem solving: Issues in research (pp. 1-13).
  • Mayer, R. E., & Hegarty, M. (1996). The process of understanding mathematical problems. In R. J. Sternberg & T. Ben-Zeev (Ed.), The nature of mathematical thinking (pp. .29-53). Mahwah, NJ: L. Erlbaum Associates.
  • Ministry of National Education (2015). İlkokul matematik dersi (1- 4. sınıflar) öğretim programı. Ankara: Milli Eğitim Bakanlığı Talim Terbiye Kurulu Başkanlığı. N ational Council of Teachers of Mathematics [NCTM] (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
  • Olkun, S., & Toluk, Z. (2014). İlköğretimde etkinlik temelli matematik öğretimi. Ankara: Eğiten Kitap.
  • Özsoy, G., & Kuruyer, H. G. (2012). Illusion of Knowing: Test Calibration of Mathematical problem solving. Dumlupınar University Journal of Social Sciences, 32(2), 229-238.
  • Pirie, S. E. B., & Schwarzenberger, R. L. E. (1988). Mathematical discussion and mathematical understanding. Educational Studies in mathematics, 19(4), 459-470.
  • Polya, G. (2004). How to solve it: A new aspect of mathematical method (No. 246). Princeton University Press.
  • Schleppegrell, M. J. (2007). The linguistic challenges of mathematics teaching and learning: A research review. Reading & Writing Quarterly, 23(2), 139-159.
  • Schoenfeld, A. H. (2016). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint). Journal of Education, 196(2), 1-38.
  • Schunk, D. H. (2011). Eğitimsel bir bakışla öğrenme teorileri Muzaffer Şahin. (Çev. Ed.). Ankara: Nobel.
  • Taşkın, N. (2013). Okul öncesi dönemde matematik ile dil arasındaki ilişki üzerine bir inceleme. (Yayımlanmamış Yüksek Lisans Tezi). Hacettepe Üniversitesi, Sosyal Bilimler Enstitüsü, Ankara.
  • Toptaş, V. (2015). An overview of mathematical language, International Journal of New Trends in Arts, Sports & Science Education 4(1), 18-22.
  • Ünal, Z. (2013). The investigation of 7th graders’ mathematical language use in the field of learning geometry. (Unpublished Master Thesis). Dokuz Eylül University, İzmir.
  • Van De Walle, A. J., Karp, S., K. & Bay-Williams, J., M. (2014). İlkokul ve Ortaokul Matematiği. Soner Durmuş (Çev. Ed.). Ankara: Nobel.
  • Warren, E. (2006). Comparative mathematical language in the elementary school: A longitudinal study. Educational Studies in Mathematics, 62(2), 169-189.
  • Yeşildere, S. (2007). İlköğretim matematik öğretmen adaylarının matematiksel alan dilini kullanma yeterlikleri. Boğaziçi Üniversitesi Eğitim Dergisi, 24 (2), 61-70.
  • Yıkmış, A. (2012). Etkileşime Dayalı Matematik Öğretimi. Ankara: Kök.
  • Yıldız, F. (2016). An investigation of 6th & 7th grade students’ mathematical verbal, symbolic and visual language comprehension and use abilities. (Unpublished Master Thesis) Marmara University, İstanbul.
  • Yüzerler, S. (2013). 6th and 7th grade students skills of using mathematical language. (Unpublished Master Thesis) Necmettin Erbakan University, Konya.
  • Zazkis, R. (2000). Using code-switching as a tool for learning mathematical language. For the learning of mathematics, 20(3), 38-43.

Examination of the Mathematical Language Used by Primary School Fourth Grade Students

Year 2021, Volume: 2 Issue: 2, 73 - 91, 19.11.2021
https://doi.org/10.5281/zenodo.7584295

Abstract

The purpose of this study is to examine the mathematical language of fourth-grade students. A nested multiple case design was used in the study. The study participants are 150 fourth-grade students (86 girls and 64 boys) attending three different primary schools in the same school district in Altınordu district of Ordu in 2016–2017 school year. The data were collected using the Mathematical Language Use Inventory. Both qualitative and quantitative analyses were used to evaluate the data at hand. Based on the quantitative analysis, the students were divided into the following three groups: low, medium, and high-level students. These groups were used as the sub-themes in the analysis of the qualitative data. Descriptive analysis was used to evaluate the qualitative data. Evaluations and comparisons were made on the status of the low, medium, and high-level students in terms of the use of mathematical language. The findings of the evaluations and comparisons on the low, medium, and high-level students revealed that the use of mathematical language varied from student to student.

References

  • Adams, T. L. (2003). Reading mathematics: More than words can say. The Reading Teacher, 56(8), 786–795.
  • Akarsu, E. (2013). The investigation of using mathematical language of 7th graders on algebra. (Unpublished Master Thesis). Dokuz Eylül University, Izmir.
  • Altun, M. (2005). İlköğretim ikinci kademede (6, 7 ve 8. sınıflarda) matematik öğretimi. Bursa: Alfa Akademi.
  • Altun, M. (2015). Matematik Öğretimi. Bursa: Alfa Akademi.
  • Anghileri, J. (2005). Children’s Mathematical Thinking in Primary Years. London: Continuum.
  • Aydoğdu, T., & Oklun, S. (2004). Elementary school students’ successes in choosing an operation for additive Word problems. Eurasion Journal of Educational Research, 16(4), 27-38.
  • Baki, A., Karataş, İ., & Güven, B. (2002). Klinik mülakat yöntemi ile problem çözme becerilerinin değerlendirilmesi. Ulusal Fen Bilimleri ve Matematik Eğitimi Kongresi, Orta Doğu Teknik Üniversitesi 15-18 Eylül, Ankara.
  • Baykul, Y. (2014). Ortaokulda Matematik Öğretimi (5-8. sınıflar), (2. Baskı). Ankara: Pegem.
  • Baykul, Y. (2016). İlkokulda Matematik Öğretimi. Ankara: Pegem.
  • Brown, S. L., & Walter, M. I. (1983). The art of problem posing. Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Çakmak, Z. (2013). An investigation of the variables related to 8th grade students' mathematical language skills in statistics through structural equitation model. (Unpublished Master Thesis). Erzincan University, Erzincan.
  • Çalıkoğlu-Bali, G. (2002). Language in mathematics teaching scale. Hacettepe University Journal of Education, 23, 57-61.
  • Dur, Z. (2010). Exploring students’ ability of using mathematical language through writing stories in communication with respect to different variables (Unpublished Master Thesis) Hacettepe University, Ankara.
  • Duval, R. (2006). A cognitive analysis of problems of comprehension in a learning of mathematics. Educational studies in mathematics, 61(1-2), 103-131.
  • English, L. D., Lesh, R., & Fennewald, T. (2008). Future directions and perspectives for problem solving research and curriculum development. In Proceedings of the 11th International Congress on Mathematical Education.
  • Ferrari, P. L. (2004). Mathematical language and advanced mathematics learning. The 28th International Conference of The International Group For The Psychology of Mathematics Education, 2, 14–18.
  • Gonzales, N. A. (1998). A blueprint for problem posing. School Science and Mathematics, 98(8), 448-456.
  • Haylock, D., & Cockburn, A. (2014). Küçük Çocuklar için Matematiği Anlama.Zuhal Yılmaz (Çev. Ed). Ankara: Nobel.
  • Karaçay, T. (2011). Matematik ve dil. Mantık, Matematik ve Felsefe. IX. Ulusal Sempozyumu, Foça.
  • Karakuyu, E., & Şenyurt C. (2016). İlköğretim Matematik 4. Sınıf Öğretmen Kılavuz Kitabı. Karakuyu, P. (Ed), Ankara: Dikey.
  • Kula-Yeşil, D. (2015). Eighth grade students’ mathematical language usage in the context of quadrilaterals: syntax and semantic components. (Unpublished Master Thesis). Anadolu University, Eskişehir.
  • Leikin, R., Leikin, M., Waisman, I., & Shaul, S. (2013). Effect of the presence of external representations on accuracy and reaction time in solving mathematical double-choice problems by students of different levels of instruction. International Journal of Science and Mathematics Education, 11(5), 1049-1066.
  • Lesser, L., & Tchoshanov, M. (2005). The effect of representation and representational sequence on students’ understanding. In Lloyd, G. M., Wilson, M., Wilkins, J.L.M., & Behm, S.L. (Eds.). Proceedings of the 27th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.
  • Mason, L. (2003). High school students' beliefs about maths, mathematical problem solving, and their achievement in maths: A cross-sectional study. Educational psychology, 23(1), 73-85.
  • Mayer, R. E. (1982). The psychology of mathematical problem solving: In FK Lester & J. Garofalo (Eds.), Mathematical problem solving: Issues in research (pp. 1-13).
  • Mayer, R. E., & Hegarty, M. (1996). The process of understanding mathematical problems. In R. J. Sternberg & T. Ben-Zeev (Ed.), The nature of mathematical thinking (pp. .29-53). Mahwah, NJ: L. Erlbaum Associates.
  • Ministry of National Education (2015). İlkokul matematik dersi (1- 4. sınıflar) öğretim programı. Ankara: Milli Eğitim Bakanlığı Talim Terbiye Kurulu Başkanlığı. N ational Council of Teachers of Mathematics [NCTM] (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
  • Olkun, S., & Toluk, Z. (2014). İlköğretimde etkinlik temelli matematik öğretimi. Ankara: Eğiten Kitap.
  • Özsoy, G., & Kuruyer, H. G. (2012). Illusion of Knowing: Test Calibration of Mathematical problem solving. Dumlupınar University Journal of Social Sciences, 32(2), 229-238.
  • Pirie, S. E. B., & Schwarzenberger, R. L. E. (1988). Mathematical discussion and mathematical understanding. Educational Studies in mathematics, 19(4), 459-470.
  • Polya, G. (2004). How to solve it: A new aspect of mathematical method (No. 246). Princeton University Press.
  • Schleppegrell, M. J. (2007). The linguistic challenges of mathematics teaching and learning: A research review. Reading & Writing Quarterly, 23(2), 139-159.
  • Schoenfeld, A. H. (2016). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint). Journal of Education, 196(2), 1-38.
  • Schunk, D. H. (2011). Eğitimsel bir bakışla öğrenme teorileri Muzaffer Şahin. (Çev. Ed.). Ankara: Nobel.
  • Taşkın, N. (2013). Okul öncesi dönemde matematik ile dil arasındaki ilişki üzerine bir inceleme. (Yayımlanmamış Yüksek Lisans Tezi). Hacettepe Üniversitesi, Sosyal Bilimler Enstitüsü, Ankara.
  • Toptaş, V. (2015). An overview of mathematical language, International Journal of New Trends in Arts, Sports & Science Education 4(1), 18-22.
  • Ünal, Z. (2013). The investigation of 7th graders’ mathematical language use in the field of learning geometry. (Unpublished Master Thesis). Dokuz Eylül University, İzmir.
  • Van De Walle, A. J., Karp, S., K. & Bay-Williams, J., M. (2014). İlkokul ve Ortaokul Matematiği. Soner Durmuş (Çev. Ed.). Ankara: Nobel.
  • Warren, E. (2006). Comparative mathematical language in the elementary school: A longitudinal study. Educational Studies in Mathematics, 62(2), 169-189.
  • Yeşildere, S. (2007). İlköğretim matematik öğretmen adaylarının matematiksel alan dilini kullanma yeterlikleri. Boğaziçi Üniversitesi Eğitim Dergisi, 24 (2), 61-70.
  • Yıkmış, A. (2012). Etkileşime Dayalı Matematik Öğretimi. Ankara: Kök.
  • Yıldız, F. (2016). An investigation of 6th & 7th grade students’ mathematical verbal, symbolic and visual language comprehension and use abilities. (Unpublished Master Thesis) Marmara University, İstanbul.
  • Yüzerler, S. (2013). 6th and 7th grade students skills of using mathematical language. (Unpublished Master Thesis) Necmettin Erbakan University, Konya.
  • Zazkis, R. (2000). Using code-switching as a tool for learning mathematical language. For the learning of mathematics, 20(3), 38-43.
There are 44 citations in total.

Details

Primary Language English
Subjects Curriculum and Instration (Other)
Journal Section Research Article
Authors

Neşe Aydoğan Belen This is me 0000-0001-7807-514X

Hayriye Gül Kuruyer 0000-0001-9017-8432

Publication Date November 19, 2021
Published in Issue Year 2021 Volume: 2 Issue: 2

Cite

APA Belen, N. A., & Kuruyer, H. G. (2021). Examination of the Mathematical Language Used by Primary School Fourth Grade Students. International Journal of Educational Studies and Policy, 2(2), 73-91. https://doi.org/10.5281/zenodo.7584295

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