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An examplary application of mathematics teaching based on formative assessment

Year 2023, Volume: 10 Issue: 4, 741 - 764, 23.12.2023
https://doi.org/10.21449/ijate.1352605

Abstract

Mathematics, by nature, has a spiral structure. The fact that the students fail to acquire an achievement in the mathematics course negatively affects other achievements. Therefore, students' mathematics failure continues exponentially. In this context, it is important to identify and eliminate students’ weaknesses, if any, with the formative assessments in the learning process. The present study aimed to improve the success level of the students with the formative assessment-based teaching practice about circle and circular region in secondary school seventh-grade mathematics teaching and implement an exemplary application for formative assessment-based teaching.
Since the study sought to evaluate the learning process of the students and eliminate the weaknesses identified in the process, an action research design, one of the methods of qualitative research, was used. The study was carried out with 34 seventh-grade secondary school students. Data were collected and analyzed descriptively through observation, interview and various formative assessment tools used in the process. At the end of the three-week implementation period, substantial improvement was observed in the achievements of low and medium-achieving students, and the overall success of the students changed positively at the end of the process.

Ethical Statement

Eskişehir Osmangazi University, 25.01.2022, 2022-02

References

  • Agwagah, U.N.V., & Ezieke, E.N. (2023). Effect of formative assessment practice on students’ academic achievement in upper basic mathematics in Enugu East LGA, Enugu State, Nigeria. Godfrey Okoye University International Journal of Education, 3(1), 1-10.
  • Aksu, Z. (2019). Pre-service mathematics teachers' pedagogical content knowledge regarding student mistakes on the subject of circle. International Journal of Evaluation and Research in Education, 8(3), 440-445. https://files.eric.ed.gov/fulltext/EJ1232322.pdf
  • Amankonah, F.O. (2013). K-8 teachers' self-efficacy beliefs for teaching mathematics [Unpublished doctoral dissertation]. University of Nevada. https://search.proquest.com/docview/1496775105?accountid=15725
  • Arseven, Z. (2013). İlköğretim matematik öğretmenlerinin 2005 ilköğretim matematik programında yer alan alternatif değerlendirme yaklaşımları uygulayabilme yeterliliklerinin incelenmesi [Examining the competencies of primary school mathematics teachers in applying alternative assessment approaches in the 2005 primary mathematics program] [Master's thesis]. Uludağ University.
  • Austin Hurd, B.G. (2015). How educators conduct formative assessment with middle school students in order to improve student achievement [Unpublished doctoral dissertation]. Capella University.
  • Bennett, R.E. (2011). Formative assessment: A critical review. Assessment in Education: Principles, Policy & Practice, 18(1), 5 25. https://doi.org/10.1080/0969594X.2010.513678
  • Black, P., & Wiliam, D. (1998). Assessment and classroom learning. Assessment in Education: Principles, Policy & Practice, 5(1), 7-74. https://doi.org/10.1080/0969595980050102
  • Burns, M.K., Klingbeil, D.A., & Ysseldyke, J. (2010). The effects of technology‐enhanced formative evaluation on student performance on state accountability math tests. Psychology in the Schools, 47(6), 582-591. https://doi.org/10.1002/pits.20492
  • Büyüköztürk, Ş., Kılıç Çakmak, E., Akgün, Ö.E., Karadeniz, Ş., & Demirel, F. (2020). Bilimsel araştırma yöntemleri [Scientific research methods]. Pegem Academy.
  • Collins, N.M. (2012). The impact of assessment for learning: Benefits and barriers to student achievement [Unpublished doctoral dissertation]. Cardinal Stritch University.
  • Evirgen, O., & İkikardeş, N.Y. (2019). 7. sınıf matematik dersinde zorlanılan konulara ilişkin öğrenci görüşlerinin incelenmesi [Examining students' opinions on difficult topics in the 7th grade mathematics course]. Journal of Balıkesir University Institute of Science and Technology, 21(1), 416-435. https://doi.org/10.25092/baunfbed.548560
  • Fatima, I. (2022). Examining the implementation of formative assessment practices in middle school mathematics: A basic qualitative study [Doctoral dissertation]. Capella University.
  • Foster, D., & Poppers, A. (2009). Using formative assessment to drive learning. The Silicon Valley Mathematics Initiative: The Noyce Foundation. http://www.brjonesphd.com/uploads/1/6/9/4/16946150/using_formative_assessment_to_drive_learning_reduced.pdf
  • Görgüt, R.Ç. (2020). Matematik öğretmen adaylarının matematiksel anlama boyutlarına yönelik etkinlik tasarım süreçlerinin incelenmesi: Çember ve daire [Examining pre-service mathematics teachers' activity design processes for mathematical understanding dimensions: Circle and circle] [Unpublished doctoral thesis]. Ankara University.
  • Hiloma, K.A., & Briones, R.R. (2022). Learning activity sheets using interactive formative assessment and feedback mechanism for grade 9 mathematics. International Journal of Research, 11(7), 201-222. https://doi.org/10.5861/ijrse.2022.331
  • Kâhtalı, B.D., & Çelik, Ş. (2020). 2019 Türkçe öğretim programı’nda ölçme ve değerlendirme ile türkçe öğretmenlerinin ölçme ve değerlendirme araçlarını kullanma düzeyleri [Measurement and evaluation in the Turkish curriculum and Turkish teachers' levels of use of measurement and evaluation tools]. Journal of Educational Theory and Practice Research, 6(2), 237-244.
  • Kara, G. (2021). Türkiye’de yayınlanan ortaokul matematik eğitimindeki kavram yanılgıları çalışmalarının incelenmesi [Examination of studies on misconceptions in secondary school mathematics education published in Turkey] [Unpublished master's thesis]. Hacettepe University.
  • Karakuş, M., & Yeşilpınar, M. (2013). İlköğretim altıncı sınıf matematik dersinde uygulanan etkinliklerin ve ölçme-değerlendirme sürecinin incelenmesi: Bir durum çalışması [Examining the activities and measurement-evaluation process applied in the sixth-grade mathematics course of primary school: A case study]. Pegem Journal of Education and Training, 3(1), 35 54. https://dergipark.org.tr/en/pub/pegegog/issue/22585/241233
  • Kline, A.J. (2013). Effects of formative assessment on middle school student achievement in mathematics and reading [Unpublished doctoral dissertation]. North Carolina University.
  • Kültür, Y.Z. (2021). Biçimlendirici değerlendirmenin ortaöğretim öğrencilerinin matematik ders başarısına ve tutumlarına etkisi [The effect of formative assessment on secondary school students' mathematics course achievement and attitudes] [Doctoral thesis]. Çukurova University.
  • Martin, C., Mraz, M., & Polly, D. (2022). Examining elementary school teachers’ perceptions of and use of formative assessment in mathematics. International Electronic Journal of Elementary Education, 14(3), 417 425. https://www.iejee.com/index.php/IEJEE/article/view/1764
  • Milli Eğitim Bakanlığı [MEB]. (2018). Matematik dersi öğretim programı (İlkokul ve Ortaokul 1,2, 3, 4, 5, 6, 7 ve 8. sınıflar) [Mathematics course curriculum (Primary and Secondary School 1,2, 3, 4, 5, 6, 7 and 8th grades)]. http://mufredat.meb.gov.tr/Dosyalar/201813017165445 MATE MAT%C4%B0K%20%C3%96%C4%9ERET%C4%B0M%20PROGRAMI%202018v.pdf
  • Milli Eğitim Bakanlığı [MEB]. (2020). Okul ve sınıf tabanlı değerlendirmeye dayalı öğretmen kapasitesinin güçlendirilmesi matematik dersi öğretmen rehber kitapçığı [Strengthening teacher capacity based on school and classroom-based assessment mathematics lesson teacher guidebook]. https://odsgm.meb.gov.tr/meb_iys_dosyalar/2020_08/26145631_Matematik.pdf
  • Milli Eğitim Bakanlığı [MEB]. (2022a). Ortaöğretim kurumlarına ilişkin merkezi sınav [Central examination for secondary education institutions]. Access: 03 September 2022, https://cdn.eba.gov.tr/icerik/2022/06/2022_LGS_rapor.pdf.
  • Milli Eğitim Bakanlığı [MEB]. (2022b). PISA 2018 Türkiye ön raporu [PISA 2018 Türkiye preliminary report]. http://www.meb.gov.tr/meb_iys_dosyalar/2019_12/03105347_PISA_2018_Turkiye_On_Raporu.pdf.
  • Miller, N. (2019). Formative assessment as a method to improve student performance in the sciences. Honors Projects, 461. https://scholarworks.bgsu.edu/honorsprojects/461
  • Ozan, C. (2017). Biçimlendirici değerlendirmenin öğrencilerin akademik başarı, tutum ve öz düzenleme becerilerine etkisi [The effect of formative assessment on students' academic achievement, attitude and self-regulation skills] [Doctoral thesis]. Atatürk University.
  • Önel, F., Dalkılınç, F., Özel, N., Deniz, Ş., Balkaya, T., & Birel, G. (2020). Ortaokul matematik öğretmenleri ölçme-değerlendirmeyi nasıl yapıyor? Bir durum çalışması [How do secondary school mathematics teachers conduct assessment and evaluation? A case study]. Journal of Kastamonu Education, 28(3), 1448 1459. https://doi.org/10.24106/kefdergi.4113
  • Tekin, E.G. (2010). Matematik eğitiminde biçimlendirici değerlendirmenin etkisi [The effect of formative assessment in mathematics education] [Published master's thesis]. Marmara University.
  • Van de Walle, J.A., Karp, K.S., Bay-Williams, J.W., & Durmuş, S. (Ed). (2019). İlkokul ve ortaokul matematiği gelişimsel yaklaşımla öğretim [Teaching primary and secondary school mathematics with a developmental approach]. Nobel Publications.
  • Wafubwa, R.N., & Csíkos, C. (2022). Impact of formative assessment instructional approach on students' mathematics achievement and their metacognitive awareness. International Journal of Instruction, 15(2), 119-138. https://eric.ed.gov/?id=EJ1341771
  • Yıldırım, A., & Şimşek A. (2021). Sosyal bilimlerde nitel araştırma yöntemleri [Qualitative research methods in the social sciences]. Seckin Publishing.

An examplary application of mathematics teaching based on formative assessment

Year 2023, Volume: 10 Issue: 4, 741 - 764, 23.12.2023
https://doi.org/10.21449/ijate.1352605

Abstract

Mathematics, by nature, has a spiral structure. The fact that the students fail to acquire an achievement in the mathematics course negatively affects other achievements. Therefore, students' mathematics failure continues exponentially. In this context, it is important to identify and eliminate students’ weaknesses, if any, with the formative assessments in the learning process. The present study aimed to improve the success level of the students with the formative assessment-based teaching practice about circle and circular region in secondary school seventh-grade mathematics teaching and implement an exemplary application for formative assessment-based teaching.
Since the study sought to evaluate the learning process of the students and eliminate the weaknesses identified in the process, an action research design, one of the methods of qualitative research, was used. The study was carried out with 34 seventh-grade secondary school students. Data were collected and analyzed descriptively through observation, interview and various formative assessment tools used in the process. At the end of the three-week implementation period, substantial improvement was observed in the achievements of low and medium-achieving students, and the overall success of the students changed positively at the end of the process.

References

  • Agwagah, U.N.V., & Ezieke, E.N. (2023). Effect of formative assessment practice on students’ academic achievement in upper basic mathematics in Enugu East LGA, Enugu State, Nigeria. Godfrey Okoye University International Journal of Education, 3(1), 1-10.
  • Aksu, Z. (2019). Pre-service mathematics teachers' pedagogical content knowledge regarding student mistakes on the subject of circle. International Journal of Evaluation and Research in Education, 8(3), 440-445. https://files.eric.ed.gov/fulltext/EJ1232322.pdf
  • Amankonah, F.O. (2013). K-8 teachers' self-efficacy beliefs for teaching mathematics [Unpublished doctoral dissertation]. University of Nevada. https://search.proquest.com/docview/1496775105?accountid=15725
  • Arseven, Z. (2013). İlköğretim matematik öğretmenlerinin 2005 ilköğretim matematik programında yer alan alternatif değerlendirme yaklaşımları uygulayabilme yeterliliklerinin incelenmesi [Examining the competencies of primary school mathematics teachers in applying alternative assessment approaches in the 2005 primary mathematics program] [Master's thesis]. Uludağ University.
  • Austin Hurd, B.G. (2015). How educators conduct formative assessment with middle school students in order to improve student achievement [Unpublished doctoral dissertation]. Capella University.
  • Bennett, R.E. (2011). Formative assessment: A critical review. Assessment in Education: Principles, Policy & Practice, 18(1), 5 25. https://doi.org/10.1080/0969594X.2010.513678
  • Black, P., & Wiliam, D. (1998). Assessment and classroom learning. Assessment in Education: Principles, Policy & Practice, 5(1), 7-74. https://doi.org/10.1080/0969595980050102
  • Burns, M.K., Klingbeil, D.A., & Ysseldyke, J. (2010). The effects of technology‐enhanced formative evaluation on student performance on state accountability math tests. Psychology in the Schools, 47(6), 582-591. https://doi.org/10.1002/pits.20492
  • Büyüköztürk, Ş., Kılıç Çakmak, E., Akgün, Ö.E., Karadeniz, Ş., & Demirel, F. (2020). Bilimsel araştırma yöntemleri [Scientific research methods]. Pegem Academy.
  • Collins, N.M. (2012). The impact of assessment for learning: Benefits and barriers to student achievement [Unpublished doctoral dissertation]. Cardinal Stritch University.
  • Evirgen, O., & İkikardeş, N.Y. (2019). 7. sınıf matematik dersinde zorlanılan konulara ilişkin öğrenci görüşlerinin incelenmesi [Examining students' opinions on difficult topics in the 7th grade mathematics course]. Journal of Balıkesir University Institute of Science and Technology, 21(1), 416-435. https://doi.org/10.25092/baunfbed.548560
  • Fatima, I. (2022). Examining the implementation of formative assessment practices in middle school mathematics: A basic qualitative study [Doctoral dissertation]. Capella University.
  • Foster, D., & Poppers, A. (2009). Using formative assessment to drive learning. The Silicon Valley Mathematics Initiative: The Noyce Foundation. http://www.brjonesphd.com/uploads/1/6/9/4/16946150/using_formative_assessment_to_drive_learning_reduced.pdf
  • Görgüt, R.Ç. (2020). Matematik öğretmen adaylarının matematiksel anlama boyutlarına yönelik etkinlik tasarım süreçlerinin incelenmesi: Çember ve daire [Examining pre-service mathematics teachers' activity design processes for mathematical understanding dimensions: Circle and circle] [Unpublished doctoral thesis]. Ankara University.
  • Hiloma, K.A., & Briones, R.R. (2022). Learning activity sheets using interactive formative assessment and feedback mechanism for grade 9 mathematics. International Journal of Research, 11(7), 201-222. https://doi.org/10.5861/ijrse.2022.331
  • Kâhtalı, B.D., & Çelik, Ş. (2020). 2019 Türkçe öğretim programı’nda ölçme ve değerlendirme ile türkçe öğretmenlerinin ölçme ve değerlendirme araçlarını kullanma düzeyleri [Measurement and evaluation in the Turkish curriculum and Turkish teachers' levels of use of measurement and evaluation tools]. Journal of Educational Theory and Practice Research, 6(2), 237-244.
  • Kara, G. (2021). Türkiye’de yayınlanan ortaokul matematik eğitimindeki kavram yanılgıları çalışmalarının incelenmesi [Examination of studies on misconceptions in secondary school mathematics education published in Turkey] [Unpublished master's thesis]. Hacettepe University.
  • Karakuş, M., & Yeşilpınar, M. (2013). İlköğretim altıncı sınıf matematik dersinde uygulanan etkinliklerin ve ölçme-değerlendirme sürecinin incelenmesi: Bir durum çalışması [Examining the activities and measurement-evaluation process applied in the sixth-grade mathematics course of primary school: A case study]. Pegem Journal of Education and Training, 3(1), 35 54. https://dergipark.org.tr/en/pub/pegegog/issue/22585/241233
  • Kline, A.J. (2013). Effects of formative assessment on middle school student achievement in mathematics and reading [Unpublished doctoral dissertation]. North Carolina University.
  • Kültür, Y.Z. (2021). Biçimlendirici değerlendirmenin ortaöğretim öğrencilerinin matematik ders başarısına ve tutumlarına etkisi [The effect of formative assessment on secondary school students' mathematics course achievement and attitudes] [Doctoral thesis]. Çukurova University.
  • Martin, C., Mraz, M., & Polly, D. (2022). Examining elementary school teachers’ perceptions of and use of formative assessment in mathematics. International Electronic Journal of Elementary Education, 14(3), 417 425. https://www.iejee.com/index.php/IEJEE/article/view/1764
  • Milli Eğitim Bakanlığı [MEB]. (2018). Matematik dersi öğretim programı (İlkokul ve Ortaokul 1,2, 3, 4, 5, 6, 7 ve 8. sınıflar) [Mathematics course curriculum (Primary and Secondary School 1,2, 3, 4, 5, 6, 7 and 8th grades)]. http://mufredat.meb.gov.tr/Dosyalar/201813017165445 MATE MAT%C4%B0K%20%C3%96%C4%9ERET%C4%B0M%20PROGRAMI%202018v.pdf
  • Milli Eğitim Bakanlığı [MEB]. (2020). Okul ve sınıf tabanlı değerlendirmeye dayalı öğretmen kapasitesinin güçlendirilmesi matematik dersi öğretmen rehber kitapçığı [Strengthening teacher capacity based on school and classroom-based assessment mathematics lesson teacher guidebook]. https://odsgm.meb.gov.tr/meb_iys_dosyalar/2020_08/26145631_Matematik.pdf
  • Milli Eğitim Bakanlığı [MEB]. (2022a). Ortaöğretim kurumlarına ilişkin merkezi sınav [Central examination for secondary education institutions]. Access: 03 September 2022, https://cdn.eba.gov.tr/icerik/2022/06/2022_LGS_rapor.pdf.
  • Milli Eğitim Bakanlığı [MEB]. (2022b). PISA 2018 Türkiye ön raporu [PISA 2018 Türkiye preliminary report]. http://www.meb.gov.tr/meb_iys_dosyalar/2019_12/03105347_PISA_2018_Turkiye_On_Raporu.pdf.
  • Miller, N. (2019). Formative assessment as a method to improve student performance in the sciences. Honors Projects, 461. https://scholarworks.bgsu.edu/honorsprojects/461
  • Ozan, C. (2017). Biçimlendirici değerlendirmenin öğrencilerin akademik başarı, tutum ve öz düzenleme becerilerine etkisi [The effect of formative assessment on students' academic achievement, attitude and self-regulation skills] [Doctoral thesis]. Atatürk University.
  • Önel, F., Dalkılınç, F., Özel, N., Deniz, Ş., Balkaya, T., & Birel, G. (2020). Ortaokul matematik öğretmenleri ölçme-değerlendirmeyi nasıl yapıyor? Bir durum çalışması [How do secondary school mathematics teachers conduct assessment and evaluation? A case study]. Journal of Kastamonu Education, 28(3), 1448 1459. https://doi.org/10.24106/kefdergi.4113
  • Tekin, E.G. (2010). Matematik eğitiminde biçimlendirici değerlendirmenin etkisi [The effect of formative assessment in mathematics education] [Published master's thesis]. Marmara University.
  • Van de Walle, J.A., Karp, K.S., Bay-Williams, J.W., & Durmuş, S. (Ed). (2019). İlkokul ve ortaokul matematiği gelişimsel yaklaşımla öğretim [Teaching primary and secondary school mathematics with a developmental approach]. Nobel Publications.
  • Wafubwa, R.N., & Csíkos, C. (2022). Impact of formative assessment instructional approach on students' mathematics achievement and their metacognitive awareness. International Journal of Instruction, 15(2), 119-138. https://eric.ed.gov/?id=EJ1341771
  • Yıldırım, A., & Şimşek A. (2021). Sosyal bilimlerde nitel araştırma yöntemleri [Qualitative research methods in the social sciences]. Seckin Publishing.
There are 32 citations in total.

Details

Primary Language English
Subjects Measurement and Evaluation in Education (Other)
Journal Section Articles
Authors

Hilal Özcan 0000-0002-7460-1488

Aytaç Kurtuluş 0000-0003-2397-3510

Publication Date December 23, 2023
Submission Date August 31, 2023
Published in Issue Year 2023 Volume: 10 Issue: 4

Cite

APA Özcan, H., & Kurtuluş, A. (2023). An examplary application of mathematics teaching based on formative assessment. International Journal of Assessment Tools in Education, 10(4), 741-764. https://doi.org/10.21449/ijate.1352605

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