International Association of Educators   |  ISSN: 2834-7919   |  e-ISSN: 1554-5210
International Journal of Progressive Education
International Association of Educators

Original article | International Journal of Progressive Education 2022, Vol. 18(4) 54-74

Comparative Analysis of The History of Mathematics Content in The Secondary School Mathematics Textbooks of Turkey, Singapore, Ireland and Canada

Nazan Mersin & Mehmet Aki̇f Karabörk

pp. 54 - 74   |  DOI: https://doi.org/10.29329/ijpe.2022.459.5   |  Manu. Number: MANU-2204-14-0008.R2

Published online: August 01, 2022  |   Number of Views: 183  |  Number of Download: 439

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Abstract

This study seeks to offer a comparative analysis of the History of Mathematics (HoM) elements identified in the secondary school mathematics textbooks of different countries. Drawing on document analysis method, this study analyzes the secondary school mathematics textbooks of Turkey, Singapore, Ireland and Canada. The HoM elements in the textbooks are examined in terms of famous mathematicians they present, civilization they are related to, content type, associated learning area and whereabouts they are inserted in the text. This study concludes that the textbooks of Ireland present the highest number of HoM elements quantitatively, and Ireland is followed by Turkey, Singapore and Canada, respectively. The most mentioned mathematicians in the HoM elements are Al-Khwarizmi and Pythagoras; further, the most mentioned civilization is Ancient Egypt. Further, Singapore and Canada prioritize discussion-project whereas Ireland and Turkey focus on history of concepts. Moreover, Turkey, Ireland and Canada present the highest number of HoM elements in the learning area of geometry and measurement.  Singapore has the highest number of HoM elements in the area of numbers and operations. This study reveals that the countries do not sufficiently incorporate HoM into their textbooks. The countries with relatively higher number of HoM elements like Ireland use HoM for motivational purposes, rather than for teaching purposes.

Keywords: History of Mathematics Textbooks, International Comparison, Comparative Education Mathematics Education

How to Cite this Article?

APA 6th edition
Mersin, N. & Karabork, M.A. (2022). Comparative Analysis of The History of Mathematics Content in The Secondary School Mathematics Textbooks of Turkey, Singapore, Ireland and Canada . International Journal of Progressive Education, 18(4), 54-74. doi: 10.29329/ijpe.2022.459.5

Harvard
Mersin, N. and Karabork, M. (2022). Comparative Analysis of The History of Mathematics Content in The Secondary School Mathematics Textbooks of Turkey, Singapore, Ireland and Canada . International Journal of Progressive Education, 18(4), pp. 54-74.

Chicago 16th edition
Mersin, Nazan and Mehmet Aki̇f Karabork (2022). "Comparative Analysis of The History of Mathematics Content in The Secondary School Mathematics Textbooks of Turkey, Singapore, Ireland and Canada ". International Journal of Progressive Education 18 (4):54-74. doi:10.29329/ijpe.2022.459.5.
References
  1. Albayrak, O. (2011). Effects of history of mathematics integrated instruction on mathematics self-efficacy and achievement [Unpublished master thesis]. Boğazici University, İstanbul. [Google Scholar]
  2. Amaral, R.B., Ribeiro, C.M. &Godoy, J.S. (2014). Choosıng textbooks wı-ithout looking at the textbooks: the role of the other’s interpretatıons, in: Jones, K., Bokhove, C., Howson, G., Fan, L. (Eds.), Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT-2014). University of Southampton, Southampton, pp. 153–158. [Google Scholar]
  3. Awosanya, A. (2001). Using history in the teaching of mathematics. Florida State University, Florida, USA. [Google Scholar]
  4. Bahadir Varol, G. (2019). The effects of integrating the history of math into the learning domain of arithmetic [Unpublished master thesis]. Aydin Adnan Menderes University, Aydin, Turkey. [Google Scholar]
  5. Baki, A. &Butuner, S.O. (2013). The ways of using the history of mathematics in 6th, 7th and 8th grade mathematics textbooks. Elementary Education Online 12, 849‐872. [Google Scholar]
  6. Bayam, S.B. (2012). The impact of a knowledge of the history of mathematics on primary school student mathematics achievement and attitudes [Unpublished master thesis]. Kastamonu University, Kastamonu, Turkey. [Google Scholar]
  7. Bowen, G.A. (2009) Document analysis as a qualitative research method. Qualitative Research Journal, 9, 27–40. https://doi.org/10.3316/QRJ0902027  [Google Scholar] [Crossref] 
  8. Byers, V. (1982). Why study the history of mathematics? International Journal of Mathematical Education in Science and Technology. 13(1), 59-66. https://doi.org/10.1080/0020739820130109 [Google Scholar] [Crossref] 
  9. Charalambous, C.Y., Delaney, S., Hsu, H.Y. &Mesa, V. (2010). A comparative analysis of the addition and subtraction of fractions in textbooks from three countries. Mathematical Thinking and Learning. 12 (2), 117-151. https://doi.org/10.1080/10986060903460070 [Google Scholar] [Crossref] 
  10. de Almeida, L.M.W.& da Silva, K.A.P. (2019). The learnıng of double ıntegral concept usıng a textbook. Platforms as Infrastructures for Mathematics Teachers’ Work with Resources, 16, 149. [Google Scholar]
  11. DES/NCCAA (Department of Education and Science/National Council for, Assessment) (2000). Mathematics syllabus: Higher, Ordinary, and Foundation level. Dublin: Stationery Office. [Google Scholar]
  12. Ding, M. &Li, X. (2010). A comparative analysis of the distributive property in US and Chinese elementary mathematics textbooks. Cognition and Instruction, 28(2) 146–180. [Google Scholar]
  13. Ekawati, R., Fiangga, S., Siswono, T.Y.E. (2018). Historical aspect of mathematics on Indonesian mathematics textbook, in: IOP Conference Series: Materials Science and Engineering, 434(1) https://doi.org/10.1088/1757-899X/434/1/012001 [Google Scholar] [Crossref] 
  14. Erdoğan, A., Eşmen, E. &Findik, S. (2015). History of mathematics in secondary school textbooks: an ecological analysis. Marmara Universsity Atatürk Education Faculty Education Science Journal, 42(42), 239–259. [Google Scholar]
  15. Ersoy, E. (2015). Effect of using history of mathematics on the elementary school 4th grade students’ academic success, retention and motivation level [Unpublished master thesis]. Adnan Menderes University, Aydin, Turkey. [Google Scholar]
  16. Fan, L., Zhu, Y. &Miao, Z. (2013). Textbook research in mathematics education: Development status and directions. ZDM Math. Education. 45(5) . https://doi.org/10.1007/s11858-013-0539-x [Google Scholar] [Crossref] 
  17. Fauvel, J. (1991). Using history in mathematics education. For the Learning Mathematics, 11(2), 3–6. [Google Scholar]
  18. Fried, M.N., 2007. Didactics and history of mathematics: Knowledge and self-knowledge. Educational Studies in Mathematics, 66(2), 203-223. https://doi.org/10.1007/s10649-006-9025-5 [Google Scholar] [Crossref] 
  19. Genc, M. &Karatas, İ. (2018). Integrating history of mathematics into mathematics teaching: Al-Khwarizmi’s completing the square method. Kastamonu Education Journal. 26(1), 219–230. [Google Scholar]
  20.  Gracin, D. G., Matić, L. J. (2016.) The role of mathematics textbooks in lower secondary education in Croatia: An empirical study. The Mathematics Educator 16(2), 31–58. [Google Scholar]
  21. Gracin, D.G. (2014). What can textbook research tell us about national mathematics education? Experiences from croatia, in: Jones, K., Bokhove, C., Howson, G., Fan, L. (Eds.), Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT-2014). University of Southampton, Southampton, pp. 251–256. [Google Scholar]
  22. Grugnetti, L., Rogers, L., Carvalho e Silva, J., Daniel, C., Coray, D., de Guzmán, M., …Vasco, C. (2002). Philosophical, multicultural and interdisciplinary issues, In History in mathematics education (pp. 39-62) Springer, Dordrecht. [Google Scholar]
  23. Gueudet, G., & Trouche, L. (2009). Towards new documentation systems for mathematics teachers? Educational Studies in Mathematics, 71(3), 199–218. https://doi.org/https://doi.org/10.1007/s10649-008-9159-8 [Google Scholar] [Crossref] 
  24. Gulikers, I., Blom, K. (2001). “A historical angle”, a survey of recent literature on the use and value of history in geometrical education. Educational Studies in Mathematics. 47 (2), 223-258. https://doi.org/10.1023/A:1014539212782 [Google Scholar] [Crossref] 
  25. Ho, W. (2008). Using history of mathematics in the teaching and learning of mathematics in Singapore., 1st RICE, Singapore:Raffles Junior College. [Google Scholar]
  26. Hong, D.S. &Choi, K.M. (2018). A comparative analysis of linear functions in Korean and American standards-based secondary textbooks. International Journal of Mathematical Education in Science and Technology, 49(7), 1025-1051. https://doi.org/10.1080/0020739X.2018.1440327 [Google Scholar] [Crossref] 
  27. İdikut, N. (2007). The effect of benefiting from history in education of mathematics on the student’s attitudes towards mathematics and their success on it [Unpublished master thesis].  Yuzuncu Yil University, Van, Turkey. [Google Scholar]
  28. Incikabi, L., Kepceoglu, I.&Kucukoglu, U. (2019). Examination of Mathematical History Contents in Middle School Mathematics Textbooks. Pamukkale University Journal of Education, 45, 144–158. [Google Scholar]
  29. Ishii, T. (2019). Limit of textbook in conceptual understanding. Platforms as Infrastructures for Mathematics Teachers’ Work with Resources, 16, 373. [Google Scholar]
  30. Jahnke, H.N., Arcavi, A., Barbin, E., Bekken, O., Furinghetti, F., El Idrissi, A., da Silva, C.M.S., Weeks, C. (2002). The use of original sources in the mathematics classroom. In History in mathematics education (pp.291-328). Springer, Dordrecht.  [Google Scholar]
  31. Jahnke, T. (2019). Report on the design and realisations of the workshop ‘writing maths textbooks.’ Platforms as Infrastructures Mathematics Teachers’ Work with Resources. 16, 203–208. [Google Scholar]
  32. Jankvist, U.T. (2009). A categorization of the “whys” and “hows” of using history in mathematics education. Educational Studies in Mathematics, 71(3), 235-261. https://doi.org/10.1007/s10649-008-9174-9 [Google Scholar] [Crossref] 
  33. Ju, M.K., Moon, J.E., &Song, R.J. (2016). History of mathematics in korean mathematics textbooks: Implication for using ethnomathematics in culturally diverse school. International Journal of Science and Mathematics Education, 14 (7), 1321-1338. https://doi.org/10.1007/s10763-015-9647-0 [Google Scholar] [Crossref] 
  34. Kajander, A., & Lovric, M. (2009). Mathematics textbooks and their potential role in supporting misconceptions. International Journal of Mathematical Education in Science and Technology, 40(2), 173-181. https://doi.org/10.1080/00207390701691558 [Google Scholar] [Crossref] 
  35. Kim, S.C. (2014). Utilization plan of primary 3-4 grade mathematics textbooks for ‘Flipped Classroom’. Education of Primary School Mathematics, 17(3), 265–276. [Google Scholar]
  36. Lawrence, S. (2008). History of mathematics making its way through the teacher networks: professional learning environment and the history of mathematics in mathematics curriculum, in: 10th International Congress on Mathematical Education, International Congress on Mathematics Education, Mexico. [Google Scholar]
  37. Li, N., &Fan, L. (2019). How are mathematicians represented in chinese mathematics textbooks? Platforms as Infrastructures for Mathematics Teachers’ Work with Resources, 16, 227–232. [Google Scholar]
  38. Li, Y., 2000. A comparison of problems that follow selected content presentations in American and Chinese mathematics textbooks. Journal for Research in Mathematics Education, 31(2), 234-241. https://doi.org/10.2307/749754. [Google Scholar] [Crossref] 
  39. Lim, S.Y.& Chapman, E. (2015). Effects of using history as a tool to teach mathematics on students’ attitudes, anxiety, motivation and achievement in grade 11 classrooms. Educational Studies in Mathematics, 90(2), 189-212. https://doi.org/10.1007/s10649-015-9620-4 [Google Scholar] [Crossref] 
  40. Lin, P.-J., & Tsai, W.H. (2014). Improvement in teachers’ interpretation of mathematics textbooks, in: Jones, K., Bokhove, C., Howson, G., Fan, L. (Eds.), Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT-2014). University of Southampton, UK, Southampton, UK, pp. 303–310. [Google Scholar]
  41. Man-Keung, S. (2000). The ABCD of using history of mathematics in the (undergraduate) classroom. Paleontological Society Papers, 6, 3–10. [Google Scholar]
  42. Marshall, G.L., & Rich, B.S. (2020). The Role of History in a Mathematics Class. The Mathematics Teacher. 93(8), 704-706. https://doi.org/10.5951/mt.93.8.0704 [Google Scholar] [Crossref] 
  43. McNeil, N.M., Grandau, L., Knuth, E.J., Alibali, M.W., Stephens, A.C., Hattikudur, S., & Krill, D.E. (2006). Middle-school students’ understanding of the equal sign: The books they read can’t help. Cognition and. Instruction, 24(3), 367-385. https://doi.org/10.1207/s1532690xci2403_3 [Google Scholar] [Crossref] 
  44. Meinerz, F.M., Doering, L.R. (2019). Analysıs of textbooks in three latin countries: resolution of equations and inequalities. Platforms as Infrastructures Mathematics Teachers’Work with Resources 16, 239–244. [Google Scholar]
  45. Mersin, N. (2019). Designing activities related to the history of mathematics for secondary school students and analysis of student reflections on these activities. Bolu Abant İzzet Baysal University. [Google Scholar]
  46. Mersin, N., & Durmus, S. (2020). Prospective Mathematics Teachers’ Perceptions of the History of Mathematics on the Role of Mathematics Education. Amasya Education Faculty Journal, 9(2), 258–317. [Google Scholar]
  47. Mersin, N. & Durmus, S. (2018). Place Of Mathematics History in Middle School Mathematics Textbooks. Bolu Abant Izzet Baysal University Journal of Faculty Education, 18(2), 997–1019. [Google Scholar]
  48. Mersin, N.& Karabork, M.A. (2021). The comparison of math textbooks in Turkey and Singapore in terms of technology integration: The comparison of math textbooks. International Journal of Curriculum and Instruction, 13(1), 552–573. [Google Scholar]
  49. Miles, M.B., & Huberman, A.M. (1994). Qualitative data analysis: An expanded sourcebook. sage. [Google Scholar]
  50. Ministry of Education, O. (2020). The Ontario Curriculum, Grades 1 and 8. Mathematics. Queen’s Printer for Ontario, Ontario. [Google Scholar]
  51. Ministry of Education, S. (2020). Mathematıcs Syllabuses Secondary One to Four Express Course Normal (Academic) Course. Ministry of Education, Singapore, Singapore. [Google Scholar]
  52. Ministry of Education, S. (2012). Primary mathematics teaching and learning syllabus. Ministry of Education, Singapore, Singapore. [Google Scholar]
  53. Ministy of National Education, T. (2018). Mathematics Course Teaching Programme (For elementary and middle school, 1-8. grade). Ministry of Education, Ankara. [Google Scholar]
  54. National Council for Curriculum and Assessment (NCCA) (2014). Maths in Practice – Report and Recommendations. National Council for Curriculum and Assessment, Dublin. [Google Scholar]
  55. National Council of Teachers of Mathematics (2000). Principles and Standards for School Mathematics, School Science Mathematics. 47. [Google Scholar]
  56. O’Halloran, K.L., Beezer, R.A., & Farmer, D.W. (2018). A new generation of mathematics textbook research and development. ZDM, 50(5), 863-879. https://doi.org/10.1007/s11858-018-0959-8. [Google Scholar] [Crossref] 
  57. Ozcan, D. (2014). With the history of mathematics applied to the anatolian high school students and the effects of enriched curriculum i̇n mathematics’success. İstanbul Sabahattin Zaim Üniversitesi, [Google Scholar]
  58. Philippou, G.N.& Christou, C. (1998). Beliefs, teacher education and the history of mathematics, in: PME 22 : Proceedings of the 22nd Conference of the International Group for the Psychology of Mathematics Education, 12-17 July 1998. Stellenbosch, South Africa, pp. 1–4. [Google Scholar]
  59. Radford, L. (1997). On psychology, historical epistemology, and the teaching of mathematics: Towards a socio-cultural history of mathematics. For the learning of mathematics, 17(1), 26-33. [Google Scholar]
  60. Radford, L., Furinghetti, F. &Katz, V. (2007). Introduction the topos of meaning or the encounter between past and present. Educational Studies in Mathematics, 66(2), 107-110. https://doi.org/10.1007/s10649-006-9076-7 [Google Scholar] [Crossref] 
  61. Reys, B.J., Reys, R.E. &Chávez, O. (2004). Why Mathematics Textbooks Matter. Educational Leadership, 61(5), 61-66. [Google Scholar]
  62. Sahin, Ö., Basibuyuk, H., Soylu, Y. (2016). The place of the history of mathematics in the sixth grade textbooks, in: International Conference on Education in Mathematics, Science & Technology (ICEMST-2016), Ersan Resort & Spa, Muğla. Muğla, Turkey, pp. 929–935. [Google Scholar]
  63. Schorcht, S. (2018). History of Mathematics in German Mathematics Textbooks.In Mathematics, Education and History (pp, 143-162). Springer, Cham. https://doi.org/10.1007/978-3-319-73924-3_8 [Google Scholar] [Crossref] 
  64. Schubring, G., & Fan, L. (2018). Recent advances in mathematics textbook research and development: An overview. ZDM, 50(5), 765-771. https://doi.org/10.1007/s11858-018-0979-4 [Google Scholar] [Crossref] 
  65. Senk, S.L., Thompson, D.R., &Wernet, J.L. (2014). Curriculum and Achievement in Algebra 2: Influences of Textbooks and Teachers on Students’ Learning about Functions.In Mathematics curriculum in school education (pp 515-540). Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7560-2_24 [Google Scholar] [Crossref] 
  66. Smestad, B. (2003). Historical topics in Norwegian textbooks, in: Study the Masters: The Abel-Fauvel Conference. pp. 153–168. [Google Scholar]
  67. Swetz, F.J. (2009). Word problems: Footprints from the history of mathematics, in: Words and Worlds. Brill Sense, pp. 71–91. https://doi.org/https://doi.org/10.1163/9789087909383_006 [Google Scholar] [Crossref] 
  68. Tan Sisman, G., & Kirez, B. (2018). History of mathematics in the Turkish middle school mathematics curriculum and textbooks. Cukurova University Faculty of Education Journal, 47(1), 188–215. https://doi.org/10.14812/cuefd.361176 [Google Scholar] [Crossref] 
  69. Toeplitz, J. (1963). Film Scholarship: Present and Prospective. Film Quarterly, 16(3), 27-37. https://doi.org/10.2307/1210727 [Google Scholar] [Crossref] 
  70. Toprak, Z. & Ozmantar, M.F. (2019). A Comparative Analysis of Turkey and Singapore 5th Grade Mathematics Textbooks in Terms of Worked Examples and Questions. Turkish Journal of Computer and Mathematics Education, 10(2), 539–566. [Google Scholar]
  71. Tzanakis, C., Arcavi, A., de Sa, C.C., Isoda, M., Lit, C.-K., Niss, M., de Carvalho, J.P., Rodriguez, M., Siu, M.-K (2002). Integrating history of mathematics in the classroom: an analytic survey. In History in mathematics education (pp. 201-240). [Google Scholar]
  72. Valverde, G.A., Bianchi, L.J., Wolfe, R.G., Schmidt, W.H., Houang, R.T. (2002). Physical Features of Textbooks, in: According to the Book. Springer, pp. 21–51. [Google Scholar]
  73. Wang, J., Yang, Z. (2015). Study on Application of Mathematical History in Mathematics Textbooks in Mainland China, in: Proceedings of the 2015 International Conference on Management, Education, Information and Control. https://doi.org/10.2991/meici-15.2015.274 [Google Scholar] [Crossref] 
  74. Xenofontos, C., Papadopoulos, C. (2015). Opportunities of learning through the history of mathematics: the example of national textbooks in Cyprus and Greece. International Journal for Mathematics Teaching and Learning, 16. [Google Scholar]
  75. Yang, D.C., & Sianturi, I.A. (2017). An Analysis of Singaporean versus Indonesian textbooks based on trigonometry content. Eurasia Journal of Mathematics Science and Technology Education, 13(7), 3829-3848. https://doi.org/10.12973/eurasia.2017.00760a [Google Scholar] [Crossref] 
  76. Zhu, Y., & Fan, L. (2006). Focus on the representation of problem types in intended curriculum: A comparison of selected mathematics textbooks from Mainland China and the United States. International Journal of Science and Mathematics Education, 4(4), 609-626. https://doi.org/10.1007/s10763-006-9036-9 [Google Scholar] [Crossref] 
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