Sistematik Derlemeler ve Meta Analiz
BibTex RIS Kaynak Göster

Yıl 2023, Cilt: 10 Sayı: 4, 29 - 48, 01.07.2023

Makbule Gözde Didiş Kabar

https://doi.org/10.17275/per.23.58.10.4

Öz

Kaynakça

  • Allaire, P. R., & Bradley, R. E. (2001). Geometric approaches to quadratic equations from other times and places. The Mathematics Teacher, 94(4), 308-319.
  • Bellibaş, M. Ş. (2018). Sistematik derleme çalışmalarında betimsel içerik analizi [The descriptive content analysis in systematic review studies]. K. Beycioğlu, N. Özer & Y. Kondakçı (Eds.), Eğitim yönetiminde araştırma [Research in Educational Administration] (p.511-532). Ankara: Pegem Akademi.
  • Buran, E. (2005). The effect of technology based and traditional methods on teaching of quadratic equations and functions through realistic problem situations. (Unpublished master's thesis). Abant Izzet Baysal University, Bolu.
  • Bossé, M. J., & Nandakumar, N. R. (2005). The factorability of quadratics: Motivation for more techniques. Teaching Mathematics and its Applications, 24(4), 143-153.
  • Clark, K. M. (2012). History of mathematics: Illuminating understanding of school mathematics concepts for prospective mathematics teachers. Educational Studies in Mathematics, 81(1), 67-84.
  • Clinch, A. (2018). Factoring for roots. The Mathematics Teacher, 111(7), 528-534.
  • Clifford, A., & Son, J. W. (2018). Complete the what? The Mathematics Teacher, 112(3), 218-225.
  • Çalık, M., & Sözbilir, M. (2014). Parameters of content analysis. Education and Science, 39(174), 33-38.
  • Didis, M. G., & Erbas, A. K. (2015). Performance and difficulties of students in formulating and solving quadratic equations with one unknown. Educational Sciences: Theory & Practice, 15(4), 1137-1150.
  • Edwards, T. G., & Chelst, K. R. (2019). Finding meaning in the quadratic formula. The Mathematics Teacher, 112(4), 258-261.
  • Fried, M. N. (2001). Can mathematics education and history of mathematics coexist? Science & Education, 10, 391-408.
  • Genç., M., & Karataş İ. (2018). Integrating history of mathematics into mathematics teaching: Al-Khwarizmi’s completing the square method. Kastamonu Education Journal, 26(1), 219-230.
  • Harripersaud, A. (2021). The quadratic equation concept. American Journal of Mathematics and Statistics, (11)3, 2021, 67-71.
  • Huang, R., & Kulm, G. (2012). Prospective middle grade mathematics teachers’ knowledge of algebra for teaching. The Journal of Mathematical Behavior, 31(4), 417-430.
  • Irianti, O. F., & Qohar, A. (2019). Development of android based instructional media of algebraic tiles for quadratic equation. Journal of Physics: Conference Series, 1227 012021. IOP Publishing.
  • İnce, M. (2008). Students’ learning of quadratic equations through use of interactive whiteboard and graphing software. (Unpublished master's thesis). Middle East Technical University, Ankara.
  • Kurz, T. (2017). Finding linear and quadratic equations in integer patterns. The Mathematics Teacher, 110(6), 454-460.
  • López, J., Robles, I., & Martínez-Planell, R. (2016). Students' understanding of quadratic equations. International Journal of Mathematical Education in Science and Technology, 47(4), 552-572.
  • Olteanu, C., & Holmqvist, M. (2012). Differences in success in solving second-degree equations due to differences in classroom instruction. International Journal of Mathematical Education in Science and Technology, 43(5), 575-587.
  • Sağlam, R. (2012). A comparative analysis of quadratics in mathematics textbooks from Turkey, Singapore, and the International Baccalaureate Diploma Programme. (Unpublished doctoral dissertation). Bilkent University, Ankara.
  • Sönnerhed, W. W. (2021). Quadratic equations in Swedish textbooks for upper-secondary school. LUMAT: International Journal on Math, Science and Technology Education, 9(1), 518-545.
  • Tall, D., de Lima, R. N., & Healy, L. (2014). Evolving a three-world framework for solving algebraic equations in the light of what a student has met before. The Journal of Mathematical Behavior, 34, 1-13.
  • Tendere, J., & Mutambara, L. H. N. (2020). An analysis of errors and misconceptions in the study of quadratic equations. European Journal of Mathematics and Science Education, 1(2), 81-90.
  • Vaiyavutjamai, P., & Clements, M. A. (2006). Effects of classroom instruction on students' understanding of quadratic equations. Mathematics Education Research Journal, 18(1), 47.
  • Vaiyavutjamai, P., Ellerton, N. F., & Clements, M. A. (2005). Influences on student learning of quadratic equations. In P. Clarkson, A. Downton, D. Gronn, M. Horne, A. McDonough, R. Pierce, & A. Roche (Eds.), Building connections: Research, theory and practice (Vol. 2, pp. 735 742). Sydney: MERGA.
  • Vinogradova, N., & Wiest, L. R. (2007). Teacher to teacher: Solving quadratic equations by completing squares. Mathematics Teaching in the Middle School, 12(7), 403-405.
  • Zakaria, E., & Maat, S. M. (2010). Analysis of students' error in learning of quadratic equations. International Education Studies, 3(3), 105-110.
  • Hu, Q., Son, J. W., & Hodge, L. (2021). Algebra teachers’ interpretation and responses to student errors in solving quadratic equations. International Journal of Science and Mathematics Education, 20(3), 637-657.
  • Sengül, S., & Satir Altinel, Ç. (2021). The examination of argumentation based problem solving processes of 10th grade students in the context of quadratic equations. Acta Didactica Napocensia, 14(1), 46-64.
  • Thomas, D. S., & Mahmud, M. S. (2021). Analysis of students’ error in solving quadratic equations using Newman’s procedure. International Journal of Academic Research in Business and Social Sciences, 11(12), 222–237.
  • Sönnerhed, W. W. (2021). Quadratic equations in Swedish textbooks for upper-secondary school. LUMAT: International Journal on Math, Science and Technology Education, 9(1), 518-545.
  • Harripersaud, A. (2021). The quadratic equation concept. American Journal of Mathematics and Statistics, 11(3), 67-71.
  • Alhassan, M. N., & Agyei, D. D. (2020). Examining colleges of education mathematics tutors’ conceptions in teaching completing the square in Ghana. International Journal of Scientific and Research Publications (IJSRP), 10(3), 253-261.
  • Tendere, J., & Mutambara, L. H. N. (2020). An analysis of errors and misconceptions in the study of quadratic equations. European Journal of Mathematics and Science Education, 1(2), 81-90.
  • Slamet, Purwanto,Cholis, S., Santi, I., & Novi, P. (2020). Critical thinking ability of high school students in solving a quadratic equation problem. Journal of Critical Reviews, 7(6), 2061-2069.
  • McCarthy, J. (2020). Showing consistency and comprehension in solving quadratic equations. Ohio Journal of School Mathematics, 84, 71-89.
  • Damayanti, N. W., Parta, I. N., & Chandra, T. D. (2019). Student algebraic reasoning to solve quadratic equation problem. Journal of Physics: Conference Series 1227 012025. IOP Publishing.
  • Edwards, T. G., & Chelst, K. R. (2019). Finding meaning in the quadratic formula. The Mathematics Teacher, 112(4), 258-261.
  • Herawaty, D., Widada, W., Gede, W., Lusiana, D., Pusvita, Y., Widiarti, Y., et al. (2019). The cognitive process of students understanding quadratic equations. Journal of Physics: Conference Series 1731 012053. IOP Publishing
  • Irianti, O. F., & Qohar, A. (2019). Development of android based instructional media of algebraic tiles for quadratic equation. Journal of Physics: Conference Series, 1227 012021. IOP Publishing.
  • Mbewe, T. L., & Nkhata, B. (2019). Secondary teachers’ mathematics knowledge for teaching quadratic equations: A case of selected secondary schools in Katete District. Zambia Journal of Teacher Professional Growth (ZJTPG), 5(1), 38-55.
  • Pieronkiewicz, B., & Tanton, J. (2019). Different ways of solving quadratic equations. Annales Universitatis Paedagogicae Cracoviensis Studia ad Didacticam Mathematicae Pertinentia, 11, 103-125.
  • Cahyani, L., & Rahaju, E. B. (2019). Students’ reflective abstraction of middle school in reconstructing quadratic equation concept based on high mathematical ability. In Journal of Physics: Conference Series 1417 012044. IOP Publishing.
  • Widiyasari, R., & Nurlaelah, E. (2019). Analysis of student’s mathematical reasoning ability materials quadratic equation on selected topics subject of secondary school. Journal of Physics: Conference Series 1157 022120. IOP Publishing.
  • Alhassan, M. N., & Agyei, D. D. (2018). Colleges of education mathematics tutors’ problems and challenges associated with the teaching of quadratics using completing the square approach. International Journal of Science and Research (IJSR), 9(2), 1842-1853.
  • Clifford, A., & Son, J. W. (2018). Complete the what?. The Mathematics Teacher, 112(3), 218-225.
  • Genç., M., & Karataş İ. (2018). Integrating history of mathematics into mathematics teaching: Al-Khwarizmi’s completing the square method. Kastamonu Education Journal, 26(1), 219-230.
  • Didis-Kabar, M. G. (2018). Secondary school students' conception of quadratic equations with one unknown. International Journal for Mathematics Teaching and Learning, 19(1), 112-129.
  • Clinch, A. (2018). Factoring for roots. The Mathematics Teacher, 111(7), 528-534.
  • Güner, P. (2017). High school students’ achievement of solving quadratic equations. Bartın University Journal of Faculty of Education, 6(2), 447-467.
  • Jupri, A., & Sispiyati, R. (2017). Expert strategies in solving algebraic structure sense problems: The case of quadratic equations. Journal of Physics: Conference Series 812 012093. IOP Publishing.
  • Kurz, T. (2017). Finding linear and quadratic equations in integer patterns. The Mathematics Teacher, 110(6), 454-460.
  • Güner, P., & Uygun, T. (2016). Developmental process of quadratic equations from past to present and reflections on teaching-learning. HAYEF Journal of Education, 13(3), 149-163.
  • López, J., Robles, I., & Martínez-Planell, R. (2016). Students' understanding of quadratic equations. International Journal of Mathematical Education in Science and Technology, 47(4), 552-572.
  • Didis, M. G., & Erbas, A. K. (2015). Performance and difficulties of students in formulating and solving quadratic equations with one unknown. Educational Sciences: Theory & Practice, 15(4), 1137-1150.
  • Popovic, G. (2015). Irrational numbers, square roots, and quadratic equations. Mathematics Teaching in the Middle School, 20(8), 468-474.
  • Sezgin-Memnun, D., Aydin, B., Dinç, E., Çoban, M., & Sevindik, F. (2015). Failures and inabilities of high school students about quadratic equations and functions. Journal of Education and Training Studies, 3(6), 50-60.
  • Fachrudin, A. D., & Putri, R. I. I. (2014). Building students' understanding of quadratic equation concept using naïve geometry. Indonesian Mathematical Society Journal on Mathematics Education, 5(2), 192-202.
  • Hong, D. S., & Choi, K. M. (2014). A comparison of Korean and American secondary school textbooks: The case of quadratic equations. Educational Studies in Mathematics, 85(2), 241-263.
  • Tall, D., de Lima, R. N., & Healy, L. (2014). Evolving a three-world framework for solving algebraic equations in the light of what a student has met before. The Journal of Mathematical Behavior, 34, 1-13.
  • Olteanu, C., & Holmqvist, M. (2012). Differences in success in solving second-degree equations due to differences in classroom instruction. International Journal of Mathematical Education in Science and Technology, 43(5), 575-587.
  • Clark, K. M. (2012). History of mathematics: Illuminating understanding of school mathematics concepts for prospective mathematics teachers. Educational Studies in Mathematics, 81(1), 67-84.
  • Zakaria, E., & Maat, S. M. (2010). Analysis of students' error in learning of quadratic equations. International Education Studies, 3(3), 105-110.
  • Vinogradova, N., & Wiest, L. R. (2007). Teacher to teacher: Solving quadratic equations by completing squares. Mathematics Teaching in the Middle School, 12(7), 403-405.
  • Vaiyavutjamai, P., & Clements, M. A. (2006). Effects of classroom instruction on students' understanding of quadratic equations. Mathematics Education Research Journal, 18(1), 47.
  • Bossé, M. J., & Nandakumar, N. R. (2005). The factorability of quadratics: motivation for more techniques. Teaching Mathematics and its Applications, 24(4), 143-153.
  • Winsløw, C. (2004). Quadratics in Japanese. Nordic Studies in Mathematics Education, 9(1), 51–74.
  • Allaire, P. R., & Bradley, R. E. (2001). Geometric approaches to quadratic equations from other times and places. The Mathematics Teacher, 94(4), 308-319.
  • Radford, L., & Guérette, G. (2000). Second degree equations in the classroom: A Babylonian approach. Paleontological Society Papers, 6, 69-76.
  • Jaramillo, S. A. M. (2021). A learning trajectory for intermediate algebra students transitioning from solving linear equations to factorable quadratic equations. (Unpublished doctoral dissertation). Washington State University, Washington.
  • Sayin, E. (2021). A comparison of secondary mathematics textbooks from Singapore and the United States: The quadratic equations unit. (Unpublished doctoral dissertation). Southern Connecticut State University, New Haven, Connecticut.
  • Kh Elazzabı, A. A. (2020). Investigation of Turkish and Libyan students' algebraic thinking skills in quadratic equations with one unknown according to solo taxonomy. (Unpublished doctoral dissertation). Kastamonu University, Kastamonu.
  • Nielsen, L. E. J. (2015). Understanding quadratic functions and solving quadratic equations: An analysis of student thinking and reasoning. (Unpublished doctoral dissertation). University of Washington, Washington.
  • Sağlam, R. (2012). A comparative analysis of quadratics in mathematics textbooks from Turkey, Singapore, and the International Baccalaureate Diploma Programme. (Unpublished doctoral dissertation). Bilkent University, Ankara.
  • Makgakga, S. W. (2011). Effective teaching methods used by teachers to teach grade 11 quadratic equations in the context of South African schools of Limpopo Province. (Unpublished master’s thesis). University of Johannesburg, Johannesburg, Gauteng South Africa
  • Ikonne, O. S. (2011). The development of curricular modules using learning theories and research results to enhance student learning of completing the square. (Unpublished master’s thesis). The University of Texas, San Antonio.
  • İnce, M. (2008). Students’ learning of quadratic equations through use of interactive whiteboard and graphing software. (Unpublished master's thesis). Middle East Technical University, Ankara.
  • Buran, E. (2005). The effect of technology based and traditional methods on teaching of quadratic equations and functions through realistic problem situations. (Unpublished master's thesis). Abant Izzet Baysal University, Bolu

A Thematic Review of Quadratic Equation Studies in The Field of Mathematics Education

Yıl 2023, Cilt: 10 Sayı: 4, 29 - 48, 01.07.2023

Makbule Gözde Didiş Kabar

https://doi.org/10.17275/per.23.58.10.4

Öz

Quadratic equations are one of the fundamental topics of the secondary school curriculum. Current research in algebra education indicates an upswing in interest in quadratic equations research; however, the general trend of quadratic equation studies is not known. Research, which systematically analyzes quadratic equation studies in the field of mathematics education, will be a guide for the researchers who plan to research this subject matter. Furthermore, displaying the content of quadratic equation studies will be a guide for mathematics teachers in finding the resources to reach alternative teaching methods. This study aimed to review both descriptively and thematically the quadratic equation studies in the field of mathematics education conducted in the period of 2000 to 2021. For this aim, both descriptive and thematic content analysis were used. 42 articles and 9 theses conducted between 2000 and 2021 were examined and analyzed. The findings of this study displayed that although current research in algebra education showed interest in quadratic equation studies, the number of the studies was quite scarce, and the studies still lack sufficient scope. Particularly, more studies should be conducted by considering mathematics teachers’ and pre-service mathematics teachers’ knowledge for teaching quadratic equations from different perspectives. This study will provide a more collective understanding of quadratic equation studies in the field of mathematics education.

Anahtar Kelimeler

mathematics education, quadratic equations, thematic review

Kaynakça

  • Allaire, P. R., & Bradley, R. E. (2001). Geometric approaches to quadratic equations from other times and places. The Mathematics Teacher, 94(4), 308-319.
  • Bellibaş, M. Ş. (2018). Sistematik derleme çalışmalarında betimsel içerik analizi [The descriptive content analysis in systematic review studies]. K. Beycioğlu, N. Özer & Y. Kondakçı (Eds.), Eğitim yönetiminde araştırma [Research in Educational Administration] (p.511-532). Ankara: Pegem Akademi.
  • Buran, E. (2005). The effect of technology based and traditional methods on teaching of quadratic equations and functions through realistic problem situations. (Unpublished master's thesis). Abant Izzet Baysal University, Bolu.
  • Bossé, M. J., & Nandakumar, N. R. (2005). The factorability of quadratics: Motivation for more techniques. Teaching Mathematics and its Applications, 24(4), 143-153.
  • Clark, K. M. (2012). History of mathematics: Illuminating understanding of school mathematics concepts for prospective mathematics teachers. Educational Studies in Mathematics, 81(1), 67-84.
  • Clinch, A. (2018). Factoring for roots. The Mathematics Teacher, 111(7), 528-534.
  • Clifford, A., & Son, J. W. (2018). Complete the what? The Mathematics Teacher, 112(3), 218-225.
  • Çalık, M., & Sözbilir, M. (2014). Parameters of content analysis. Education and Science, 39(174), 33-38.
  • Didis, M. G., & Erbas, A. K. (2015). Performance and difficulties of students in formulating and solving quadratic equations with one unknown. Educational Sciences: Theory & Practice, 15(4), 1137-1150.
  • Edwards, T. G., & Chelst, K. R. (2019). Finding meaning in the quadratic formula. The Mathematics Teacher, 112(4), 258-261.
  • Fried, M. N. (2001). Can mathematics education and history of mathematics coexist? Science & Education, 10, 391-408.
  • Genç., M., & Karataş İ. (2018). Integrating history of mathematics into mathematics teaching: Al-Khwarizmi’s completing the square method. Kastamonu Education Journal, 26(1), 219-230.
  • Harripersaud, A. (2021). The quadratic equation concept. American Journal of Mathematics and Statistics, (11)3, 2021, 67-71.
  • Huang, R., & Kulm, G. (2012). Prospective middle grade mathematics teachers’ knowledge of algebra for teaching. The Journal of Mathematical Behavior, 31(4), 417-430.
  • Irianti, O. F., & Qohar, A. (2019). Development of android based instructional media of algebraic tiles for quadratic equation. Journal of Physics: Conference Series, 1227 012021. IOP Publishing.
  • İnce, M. (2008). Students’ learning of quadratic equations through use of interactive whiteboard and graphing software. (Unpublished master's thesis). Middle East Technical University, Ankara.
  • Kurz, T. (2017). Finding linear and quadratic equations in integer patterns. The Mathematics Teacher, 110(6), 454-460.
  • López, J., Robles, I., & Martínez-Planell, R. (2016). Students' understanding of quadratic equations. International Journal of Mathematical Education in Science and Technology, 47(4), 552-572.
  • Olteanu, C., & Holmqvist, M. (2012). Differences in success in solving second-degree equations due to differences in classroom instruction. International Journal of Mathematical Education in Science and Technology, 43(5), 575-587.
  • Sağlam, R. (2012). A comparative analysis of quadratics in mathematics textbooks from Turkey, Singapore, and the International Baccalaureate Diploma Programme. (Unpublished doctoral dissertation). Bilkent University, Ankara.
  • Sönnerhed, W. W. (2021). Quadratic equations in Swedish textbooks for upper-secondary school. LUMAT: International Journal on Math, Science and Technology Education, 9(1), 518-545.
  • Tall, D., de Lima, R. N., & Healy, L. (2014). Evolving a three-world framework for solving algebraic equations in the light of what a student has met before. The Journal of Mathematical Behavior, 34, 1-13.
  • Tendere, J., & Mutambara, L. H. N. (2020). An analysis of errors and misconceptions in the study of quadratic equations. European Journal of Mathematics and Science Education, 1(2), 81-90.
  • Vaiyavutjamai, P., & Clements, M. A. (2006). Effects of classroom instruction on students' understanding of quadratic equations. Mathematics Education Research Journal, 18(1), 47.
  • Vaiyavutjamai, P., Ellerton, N. F., & Clements, M. A. (2005). Influences on student learning of quadratic equations. In P. Clarkson, A. Downton, D. Gronn, M. Horne, A. McDonough, R. Pierce, & A. Roche (Eds.), Building connections: Research, theory and practice (Vol. 2, pp. 735 742). Sydney: MERGA.
  • Vinogradova, N., & Wiest, L. R. (2007). Teacher to teacher: Solving quadratic equations by completing squares. Mathematics Teaching in the Middle School, 12(7), 403-405.
  • Zakaria, E., & Maat, S. M. (2010). Analysis of students' error in learning of quadratic equations. International Education Studies, 3(3), 105-110.
  • Hu, Q., Son, J. W., & Hodge, L. (2021). Algebra teachers’ interpretation and responses to student errors in solving quadratic equations. International Journal of Science and Mathematics Education, 20(3), 637-657.
  • Sengül, S., & Satir Altinel, Ç. (2021). The examination of argumentation based problem solving processes of 10th grade students in the context of quadratic equations. Acta Didactica Napocensia, 14(1), 46-64.
  • Thomas, D. S., & Mahmud, M. S. (2021). Analysis of students’ error in solving quadratic equations using Newman’s procedure. International Journal of Academic Research in Business and Social Sciences, 11(12), 222–237.
  • Sönnerhed, W. W. (2021). Quadratic equations in Swedish textbooks for upper-secondary school. LUMAT: International Journal on Math, Science and Technology Education, 9(1), 518-545.
  • Harripersaud, A. (2021). The quadratic equation concept. American Journal of Mathematics and Statistics, 11(3), 67-71.
  • Alhassan, M. N., & Agyei, D. D. (2020). Examining colleges of education mathematics tutors’ conceptions in teaching completing the square in Ghana. International Journal of Scientific and Research Publications (IJSRP), 10(3), 253-261.
  • Tendere, J., & Mutambara, L. H. N. (2020). An analysis of errors and misconceptions in the study of quadratic equations. European Journal of Mathematics and Science Education, 1(2), 81-90.
  • Slamet, Purwanto,Cholis, S., Santi, I., & Novi, P. (2020). Critical thinking ability of high school students in solving a quadratic equation problem. Journal of Critical Reviews, 7(6), 2061-2069.
  • McCarthy, J. (2020). Showing consistency and comprehension in solving quadratic equations. Ohio Journal of School Mathematics, 84, 71-89.
  • Damayanti, N. W., Parta, I. N., & Chandra, T. D. (2019). Student algebraic reasoning to solve quadratic equation problem. Journal of Physics: Conference Series 1227 012025. IOP Publishing.
  • Edwards, T. G., & Chelst, K. R. (2019). Finding meaning in the quadratic formula. The Mathematics Teacher, 112(4), 258-261.
  • Herawaty, D., Widada, W., Gede, W., Lusiana, D., Pusvita, Y., Widiarti, Y., et al. (2019). The cognitive process of students understanding quadratic equations. Journal of Physics: Conference Series 1731 012053. IOP Publishing
  • Irianti, O. F., & Qohar, A. (2019). Development of android based instructional media of algebraic tiles for quadratic equation. Journal of Physics: Conference Series, 1227 012021. IOP Publishing.
  • Mbewe, T. L., & Nkhata, B. (2019). Secondary teachers’ mathematics knowledge for teaching quadratic equations: A case of selected secondary schools in Katete District. Zambia Journal of Teacher Professional Growth (ZJTPG), 5(1), 38-55.
  • Pieronkiewicz, B., & Tanton, J. (2019). Different ways of solving quadratic equations. Annales Universitatis Paedagogicae Cracoviensis Studia ad Didacticam Mathematicae Pertinentia, 11, 103-125.
  • Cahyani, L., & Rahaju, E. B. (2019). Students’ reflective abstraction of middle school in reconstructing quadratic equation concept based on high mathematical ability. In Journal of Physics: Conference Series 1417 012044. IOP Publishing.
  • Widiyasari, R., & Nurlaelah, E. (2019). Analysis of student’s mathematical reasoning ability materials quadratic equation on selected topics subject of secondary school. Journal of Physics: Conference Series 1157 022120. IOP Publishing.
  • Alhassan, M. N., & Agyei, D. D. (2018). Colleges of education mathematics tutors’ problems and challenges associated with the teaching of quadratics using completing the square approach. International Journal of Science and Research (IJSR), 9(2), 1842-1853.
  • Clifford, A., & Son, J. W. (2018). Complete the what?. The Mathematics Teacher, 112(3), 218-225.
  • Genç., M., & Karataş İ. (2018). Integrating history of mathematics into mathematics teaching: Al-Khwarizmi’s completing the square method. Kastamonu Education Journal, 26(1), 219-230.
  • Didis-Kabar, M. G. (2018). Secondary school students' conception of quadratic equations with one unknown. International Journal for Mathematics Teaching and Learning, 19(1), 112-129.
  • Clinch, A. (2018). Factoring for roots. The Mathematics Teacher, 111(7), 528-534.
  • Güner, P. (2017). High school students’ achievement of solving quadratic equations. Bartın University Journal of Faculty of Education, 6(2), 447-467.
  • Jupri, A., & Sispiyati, R. (2017). Expert strategies in solving algebraic structure sense problems: The case of quadratic equations. Journal of Physics: Conference Series 812 012093. IOP Publishing.
  • Kurz, T. (2017). Finding linear and quadratic equations in integer patterns. The Mathematics Teacher, 110(6), 454-460.
  • Güner, P., & Uygun, T. (2016). Developmental process of quadratic equations from past to present and reflections on teaching-learning. HAYEF Journal of Education, 13(3), 149-163.
  • López, J., Robles, I., & Martínez-Planell, R. (2016). Students' understanding of quadratic equations. International Journal of Mathematical Education in Science and Technology, 47(4), 552-572.
  • Didis, M. G., & Erbas, A. K. (2015). Performance and difficulties of students in formulating and solving quadratic equations with one unknown. Educational Sciences: Theory & Practice, 15(4), 1137-1150.
  • Popovic, G. (2015). Irrational numbers, square roots, and quadratic equations. Mathematics Teaching in the Middle School, 20(8), 468-474.
  • Sezgin-Memnun, D., Aydin, B., Dinç, E., Çoban, M., & Sevindik, F. (2015). Failures and inabilities of high school students about quadratic equations and functions. Journal of Education and Training Studies, 3(6), 50-60.
  • Fachrudin, A. D., & Putri, R. I. I. (2014). Building students' understanding of quadratic equation concept using naïve geometry. Indonesian Mathematical Society Journal on Mathematics Education, 5(2), 192-202.
  • Hong, D. S., & Choi, K. M. (2014). A comparison of Korean and American secondary school textbooks: The case of quadratic equations. Educational Studies in Mathematics, 85(2), 241-263.
  • Tall, D., de Lima, R. N., & Healy, L. (2014). Evolving a three-world framework for solving algebraic equations in the light of what a student has met before. The Journal of Mathematical Behavior, 34, 1-13.
  • Olteanu, C., & Holmqvist, M. (2012). Differences in success in solving second-degree equations due to differences in classroom instruction. International Journal of Mathematical Education in Science and Technology, 43(5), 575-587.
  • Clark, K. M. (2012). History of mathematics: Illuminating understanding of school mathematics concepts for prospective mathematics teachers. Educational Studies in Mathematics, 81(1), 67-84.
  • Zakaria, E., & Maat, S. M. (2010). Analysis of students' error in learning of quadratic equations. International Education Studies, 3(3), 105-110.
  • Vinogradova, N., & Wiest, L. R. (2007). Teacher to teacher: Solving quadratic equations by completing squares. Mathematics Teaching in the Middle School, 12(7), 403-405.
  • Vaiyavutjamai, P., & Clements, M. A. (2006). Effects of classroom instruction on students' understanding of quadratic equations. Mathematics Education Research Journal, 18(1), 47.
  • Bossé, M. J., & Nandakumar, N. R. (2005). The factorability of quadratics: motivation for more techniques. Teaching Mathematics and its Applications, 24(4), 143-153.
  • Winsløw, C. (2004). Quadratics in Japanese. Nordic Studies in Mathematics Education, 9(1), 51–74.
  • Allaire, P. R., & Bradley, R. E. (2001). Geometric approaches to quadratic equations from other times and places. The Mathematics Teacher, 94(4), 308-319.
  • Radford, L., & Guérette, G. (2000). Second degree equations in the classroom: A Babylonian approach. Paleontological Society Papers, 6, 69-76.
  • Jaramillo, S. A. M. (2021). A learning trajectory for intermediate algebra students transitioning from solving linear equations to factorable quadratic equations. (Unpublished doctoral dissertation). Washington State University, Washington.
  • Sayin, E. (2021). A comparison of secondary mathematics textbooks from Singapore and the United States: The quadratic equations unit. (Unpublished doctoral dissertation). Southern Connecticut State University, New Haven, Connecticut.
  • Kh Elazzabı, A. A. (2020). Investigation of Turkish and Libyan students' algebraic thinking skills in quadratic equations with one unknown according to solo taxonomy. (Unpublished doctoral dissertation). Kastamonu University, Kastamonu.
  • Nielsen, L. E. J. (2015). Understanding quadratic functions and solving quadratic equations: An analysis of student thinking and reasoning. (Unpublished doctoral dissertation). University of Washington, Washington.
  • Sağlam, R. (2012). A comparative analysis of quadratics in mathematics textbooks from Turkey, Singapore, and the International Baccalaureate Diploma Programme. (Unpublished doctoral dissertation). Bilkent University, Ankara.
  • Makgakga, S. W. (2011). Effective teaching methods used by teachers to teach grade 11 quadratic equations in the context of South African schools of Limpopo Province. (Unpublished master’s thesis). University of Johannesburg, Johannesburg, Gauteng South Africa
  • Ikonne, O. S. (2011). The development of curricular modules using learning theories and research results to enhance student learning of completing the square. (Unpublished master’s thesis). The University of Texas, San Antonio.
  • İnce, M. (2008). Students’ learning of quadratic equations through use of interactive whiteboard and graphing software. (Unpublished master's thesis). Middle East Technical University, Ankara.
  • Buran, E. (2005). The effect of technology based and traditional methods on teaching of quadratic equations and functions through realistic problem situations. (Unpublished master's thesis). Abant Izzet Baysal University, Bolu
Toplam 78 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Alan Eğitimleri
Bölüm Research Articles
Yazarlar

Makbule Gözde Didiş Kabar 0000-0003-4202-2323

Erken Görünüm Tarihi 6 Temmuz 2023
Yayımlanma Tarihi 1 Temmuz 2023
Kabul Tarihi 8 Mayıs 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 10 Sayı: 4

Kaynak Göster

APA Didiş Kabar, M. G. (2023). A Thematic Review of Quadratic Equation Studies in The Field of Mathematics Education. Participatory Educational Research, 10(4), 29-48. https://doi.org/10.17275/per.23.58.10.4
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