Yıl 2024,
Cilt: 6 Sayı: 2, 294 - 321, 24.09.2024
Tuğba Horzum
,
Anıl Ayseli Duran
Kaynakça
- Adleff, A. K., Ross, N., König, J., & Kaiser, G. (2023). Types of mathematical tasks in lower secondary classrooms in Germany: Statistical findings from a latent class analysis based on general mathematical competencies. Educational Studies in Mathematics, 114(3), 371-392. https://doi.org/10.1007/s10649-023-10254-9
- Agterberg, D. A., Oostdam, R. J. & Janssen, F. J. J. M. (2022). From speck to story: relating history of mathematics to the cognitive demand level of tasks. Educational Studies in Mathematics, 110, 49–64. https://doi.org/10.1007/s10649-021-10093-6
- Aktan, O. (2019). İlkokul matematik öğretim programı dersi kazanımlarının yenilenen Bloom Taksonomisine göre incelenmesi [Investigation of primary school mathematics curriculum lesson acquisitions according to renewed Bloom Taxonomy]. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi 48(1), 15-36. https://doi.org/10.9779/pauefd.523545 (Turkish)
- Alayont, F., Karaali, G., & Pehlivan, L. (2023). Analysis of calculus textbook problems via Bloom's Taxonomy. PRIMUS, 33(3), 203-218. https://doi.org/10.1080/10511970.2022.2048931
- Ashcraft, M. H., & Krause, J. A. (2007). Working memory, math performance, and math anxiety. Psychonomic Bulletin & Review, 14, 243-248. https://doi.org/10.3758/BF03194059
- Ayres, P. (2006). Impact of reducing intrinsic cognitive load on learning in a mathematical domain. Applied Cognitive Psychology, 20(3), 287-298. https://doi.org/10.1002/acp.1245
- Ball, D. L., & Cohen, D. K. (1996). Reform by the book: What is—or might be—the role of curriculum materials in teacher learning and instructional reform? Educational researcher, 25(9), 6-14. https://doi.org/10.3102/0013189X025009006
- Barnett, J. H., Can, C., & Otero, D. E. (2024). Tagging opportunities to learn: A coding scheme for student tasks. The Mathematics Enthusiast, 21(1), 225-268. https://doi.org/10.54870/1551-3440.1625
- Basyal, D., Jones, D. L., & Thapa, M. (2023). Cognitive demand of mathematics tasks in Nepali middle school mathematics textbooks. International Journal of Science and Mathematics Education, 21(3), 863-879. https://doi.org/10.1007/s10763-022-10269-3
- Bayazıt, I. (2013). Quality of the tasks in the new Turkish elementary mathematics textbooks: The case of proportional reasoning. International Journal of Science and Mathematics Education, 11, 651-682. https://doi.org/10.1007/s10763-012-9358-8
- Borromeo Ferri, R. (2018). Task competency: For your instructional flexibility. Learning how to teach mathematical modeling in school and teacher education (pp. 41-75). Springer, Cham. https://link.springer.com/chapter/10.1007/978-3-319-68072-9_3
- Boston, M. D., & Smith, M. S. (2011). A ‘task-centric approach to professional development: Enhancing and sustaining mathematics teachers’ ability to implement cognitively challenging mathematical tasks. ZDM, 43, 965-977. https://doi.org/10.1007/s11858-011-0353-2
- Bowen, G. A. (2009). Document analysis as a qualitative research method. Qualitative Research Journal, 9(2), 27-40. https://doi.org/10.3316/QRJ0902027
- Bozkurt, A., & Yılmaz, Ş. (2020). An examination of the activities in 8th-grade mathematics textbooks based on the levels of cognitive demand. İlköğretim Online, 19(1), 133-146. https://doi.org/10.17051/ilkonline.2020.647122
- 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
- Creswell, J. W. (2012). Educational research: Planning, conducting and evaluating qualitative and quantitative research (5th ed.). Boston: Pearson
- Deringöl, Y., & Guseinova, E. (2023). Problem-posing activities in primary school mathematics textbooks in Russia and Azerbaijan, Mimbar Sekolah Dasar, 9(3), 535-551. https://doi.org/10.53400/mimbar-sd.v9i3.44863
- Duran, A. A. (2024). Liselere geçiş sistemi matematik sorularının bilişsel istem düzeyleri bağlamında değerlendirilmesi [Evaluation of high school entrance system mathematics questions in terms of cognitive demand levels]. Necmettin Erbakan Üniversitesi Ereğli Eğitim Fakültesi Dergisi, 6(1), 65-85. https://dergipark.org.tr/tr/pub/neueefd/issue/85157/1328984 (Turkish)
- Ecemiş, U. O. (2017). A comparison of cognitive demand levels of tasks in 5th grade mathematics textbook used in Singapore, the United States, and Turkey. EJMS European Journal of Multidisciplinary Studies Articles, 5(1), 469-469.
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An examination of the cognitive demand levels posed by problems in the middle grades mathematics textbooks
Yıl 2024,
Cilt: 6 Sayı: 2, 294 - 321, 24.09.2024
Tuğba Horzum
,
Anıl Ayseli Duran
Öz
This research investigated the cognitive demand levels of mathematics tasks within the middle school mathematics textbooks endorsed by the Ministry of National Education for the academic year of the 2023-2024. To achieve this, a qualitative research method was utilized, and document analysis was performed. In this direction, the textbooks were analyzed using descriptive analysis. The tasks within the textbooks were examined through the lens of Smith and Stein’s (1998) theoretical framework. The findings indicate that the majority of mathematics tasks in middle school mathematics textbooks exhibit a low level of cognitive demand. It was found that over 80% of the tasks fell into the categories of memorization and procedures without connections levels. It has been revealed that tasks at the levels of procedures with connections and doing mathematics, which are high cognitive demand levels, are uncommon. This shows that textbooks do not sufficiently support the potential of students to develop mathematical thinking and problem-solving skills. Based on these results, various suggestions have been made for textbooks. The most important of these suggestions include ensuring that students are cognitively exposed to higher level tasks and increasing the number of tasks that will improve their mathematical thinking skills. Thus, it will be possible for students to have a more effective learning process by deepening their mathematical understanding.
Etik Beyan
This study analyzed textbooks that are publicly available at https://www.kimyadenizi.com/mat-ort/. Consequently, there were no ethical issues associated with the conduct of the research, and there was no requirement for ethics committee approval.
Kaynakça
- Adleff, A. K., Ross, N., König, J., & Kaiser, G. (2023). Types of mathematical tasks in lower secondary classrooms in Germany: Statistical findings from a latent class analysis based on general mathematical competencies. Educational Studies in Mathematics, 114(3), 371-392. https://doi.org/10.1007/s10649-023-10254-9
- Agterberg, D. A., Oostdam, R. J. & Janssen, F. J. J. M. (2022). From speck to story: relating history of mathematics to the cognitive demand level of tasks. Educational Studies in Mathematics, 110, 49–64. https://doi.org/10.1007/s10649-021-10093-6
- Aktan, O. (2019). İlkokul matematik öğretim programı dersi kazanımlarının yenilenen Bloom Taksonomisine göre incelenmesi [Investigation of primary school mathematics curriculum lesson acquisitions according to renewed Bloom Taxonomy]. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi 48(1), 15-36. https://doi.org/10.9779/pauefd.523545 (Turkish)
- Alayont, F., Karaali, G., & Pehlivan, L. (2023). Analysis of calculus textbook problems via Bloom's Taxonomy. PRIMUS, 33(3), 203-218. https://doi.org/10.1080/10511970.2022.2048931
- Ashcraft, M. H., & Krause, J. A. (2007). Working memory, math performance, and math anxiety. Psychonomic Bulletin & Review, 14, 243-248. https://doi.org/10.3758/BF03194059
- Ayres, P. (2006). Impact of reducing intrinsic cognitive load on learning in a mathematical domain. Applied Cognitive Psychology, 20(3), 287-298. https://doi.org/10.1002/acp.1245
- Ball, D. L., & Cohen, D. K. (1996). Reform by the book: What is—or might be—the role of curriculum materials in teacher learning and instructional reform? Educational researcher, 25(9), 6-14. https://doi.org/10.3102/0013189X025009006
- Barnett, J. H., Can, C., & Otero, D. E. (2024). Tagging opportunities to learn: A coding scheme for student tasks. The Mathematics Enthusiast, 21(1), 225-268. https://doi.org/10.54870/1551-3440.1625
- Basyal, D., Jones, D. L., & Thapa, M. (2023). Cognitive demand of mathematics tasks in Nepali middle school mathematics textbooks. International Journal of Science and Mathematics Education, 21(3), 863-879. https://doi.org/10.1007/s10763-022-10269-3
- Bayazıt, I. (2013). Quality of the tasks in the new Turkish elementary mathematics textbooks: The case of proportional reasoning. International Journal of Science and Mathematics Education, 11, 651-682. https://doi.org/10.1007/s10763-012-9358-8
- Borromeo Ferri, R. (2018). Task competency: For your instructional flexibility. Learning how to teach mathematical modeling in school and teacher education (pp. 41-75). Springer, Cham. https://link.springer.com/chapter/10.1007/978-3-319-68072-9_3
- Boston, M. D., & Smith, M. S. (2011). A ‘task-centric approach to professional development: Enhancing and sustaining mathematics teachers’ ability to implement cognitively challenging mathematical tasks. ZDM, 43, 965-977. https://doi.org/10.1007/s11858-011-0353-2
- Bowen, G. A. (2009). Document analysis as a qualitative research method. Qualitative Research Journal, 9(2), 27-40. https://doi.org/10.3316/QRJ0902027
- Bozkurt, A., & Yılmaz, Ş. (2020). An examination of the activities in 8th-grade mathematics textbooks based on the levels of cognitive demand. İlköğretim Online, 19(1), 133-146. https://doi.org/10.17051/ilkonline.2020.647122
- 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
- Creswell, J. W. (2012). Educational research: Planning, conducting and evaluating qualitative and quantitative research (5th ed.). Boston: Pearson
- Deringöl, Y., & Guseinova, E. (2023). Problem-posing activities in primary school mathematics textbooks in Russia and Azerbaijan, Mimbar Sekolah Dasar, 9(3), 535-551. https://doi.org/10.53400/mimbar-sd.v9i3.44863
- Duran, A. A. (2024). Liselere geçiş sistemi matematik sorularının bilişsel istem düzeyleri bağlamında değerlendirilmesi [Evaluation of high school entrance system mathematics questions in terms of cognitive demand levels]. Necmettin Erbakan Üniversitesi Ereğli Eğitim Fakültesi Dergisi, 6(1), 65-85. https://dergipark.org.tr/tr/pub/neueefd/issue/85157/1328984 (Turkish)
- Ecemiş, U. O. (2017). A comparison of cognitive demand levels of tasks in 5th grade mathematics textbook used in Singapore, the United States, and Turkey. EJMS European Journal of Multidisciplinary Studies Articles, 5(1), 469-469.
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