Mathematics teachers’ practices in light of the effective teaching practices

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Published: Aug 6, 2024
DOI: https://doi.org/10.22460/infinity.v14i1.p1-20
Keywords:
Effective teaching Mathematics teachers NCTM Teaching practices

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Bakri M. Awaji
Department of Curriculum and Instruction, University of Bisha, Bisha, Saudi Arabia
https://orcid.org/0000-0001-5831-8482
Rasha Hashim Abdel-Hamid
Faculty of Women, Ain Shams University, Cairo, Egypt
https://orcid.org/0000-0002-4716-5545
Ibrahim Alhussain Khalil
Department of Curriculum and Instruction, University of Bisha, Bisha, Saudi Arabia
https://orcid.org/0000-0002-3103-7549
Rully Charitas Indra Prahmana
Ethno-Realistic Mathematics Education Research Center, Universitas Ahmad Dahlan, Yogyakarta and Department of Mathematics Education, Universitas Ahmad Dahlan, Yogyakarta, Indonesia
https://orcid.org/0000-0002-9406-689X

Abstract

Recognising the pivotal role of effective teaching practices in enhancing student learning outcomes, the National Council of Teachers of Mathematics (NCTM) has outlined a comprehensive framework of key strategies. However, empirical research on these practices remains limited. Therefore, this study aimed to investigate the extent to which mathematics teachers apply NCTM-identified effective teaching practices and examine potential differences attributable to teachers' gender and teaching experience. Adopting a quantitative approach and employing a descriptive survey, the study systematically assessed eight designated practices using a validated observation checklist in the Jazan Education Administration, observing 38 mathematics teachers during routine classes. The results indicated a moderate level of implementation overall, with ten practices demonstrating high application. Statistical analyses found no significant differences in practice implementation based on gender or teaching experience at the .05 level. The limitations included the study's relatively small sample size, potentially limiting generalisability, and the observational nature of the checklist, which may not fully capture nuanced teaching dynamics. Future research could focus on developing training initiatives to enhance educators' application of NCTM-recommended practices and undertake qualitative inquiries to understand barriers to integration and teachers' attitudes towards these practices. Finally, this study contributes to the discourse on effective mathematics teaching by providing empirical insights into current practices and highlighting avenues for further investigation and professional development in educational settings.

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Issue
Vol. 14 No. 1 (2025): VOLUME 14, NUMBER 1, INFINITY
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Articles
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References

Achievement Network. (2022). Instructional approaches for math rigor. Learning Together. https://rb.gy/d0xef

Albalawi, A. M. (2018). The beliefs of mathematics teachers in Riyadh about formative assessment. International Journal of Educational and Psychological Studies, 4(1), 42-56. https://doi.org/10.31559/EPS2018.4.1.3

Al-Essa, M. (2019). Evaluate the knowledge of science teachers about the steps of scientific investigation in teaching science and the obstacles that face them from their point of view. Educational Journal, 68(68), 394-424. https://doi.org/10.21608/edusohag.2019.54721

Al-Harbi, S. H., & Al-Ruwais, A. M. (2022). The relationship between beliefs associated with the guiding principles for school mathematics and effective mathematics teaching practices among secondary school female teachers. Journal of mathematics Education, 25(7), 1-31. https://doi.org/10.21608/armin.2022.270363

Al-Imam, Y., Badawi, R., & Hamouda, S. (2022). The effectiveness of meaningful mathematical discourse in enhancing mathematical beliefs among sixth-grade Al-Azhar students. Journal of mathematics Education, 25(7), 236-271. https://doi.org/10.21608/armin.2022.270369

Al-Khidr, N., & Ar-Rasheedi, S. (2021). The effectiveness of a strategy based on self-questioning and reflective writing in developing mathematical problem-solving skills among first-year secondary school students. Journal of Culture and Development, 16(2), 1-85.

Al-Maliki, I. A., & As-Salouli, M. S. (2018). The level of the teaching practices of primary school mathematics teachers in the light of the standards of teaching and learning mathematics. Journal of mathematics Education, 21(2), 135-160. https://doi.org/10.21608/armin.2018.81050

Al-Olayan, F. A. R. (2022). Teaching practices for middle school mathematics teachers supporting development the of twenty-first century skills in light of the mutual dimensions of the education and training evaluation commission standards. Educational Journal, 100(100), 327-397. https://doi.org/10.21608/edusohag.2022.257362

Al-Otaibi, F. S., & Al-Matham, K. A. (2022). The performance level of mathematics teachers at the secondary level in light of NCTM's practices for effective teaching. International Journal of Research in Educational Sciences (IJRES), 5(4), 343-412. https://doi.org/10.29009/ijres.5.4.9

Al-Qurashi, M. A. S. (2021). Evaluating the teaching practices of mathematics teachers in the light of the requirements for developing the mental dimensions of mathematical prowess among middle school stage students. Journal of mathematics Education, 24(2), 237-299. https://doi.org/10.21608/armin.2021.146169

Al-Shammari, A., & Al-Arini, H. (2019). The reality of teaching practices among primary school mathematics teachers in light of mathematical prowess. Journal of mathematics Education, 22(6), 85-137. https://doi.org/10.21608/armin.2019.81212

Anderson-Pence, K. L. (2017). Techno-mathematical discourse: A conceptual framework for analyzing classroom discussions. Education Sciences, 7(1), 40. https://doi.org/10.3390/educsci7010040

Anwar, R. B., Yuwono, I., As'ari, A. R., Sisworo, S., & Dwi, R. (2016). Mathematical representation by students in building relational understanding on concepts of area and perimeter of rectangle. Educational Research and Reviews, 11(21), 2002-2008. https://doi.org/10.5897/ERR2016.2813

Ar-Rashidi, N. A. (2021). Evaluating the teaching practices of middle school mathematics teachers: Classroom observations. Journal of Educational Sciences, 29(1), 1-40.

Ash-Shalhoub, S., Al-Khathami, F., Al-Dabyan, O., & Al-Otaibi, T. (2022). A proposed framework of a training program based on the eight practices of teaching mathematics to support all students in learning mathematics. Journal of mathematics Education, 25(7), 115-157. https://doi.org/10.21608/armin.2022.270366

As-Salahi, M. b. E. (2019). Mathematics teachers’ teaching practices that support understanding mathematical concepts at the primary stage. Journal of mathematics Education, 22(9), 173-197. https://doi.org/10.21608/armin.2019.81242

As-Surayhi, A. H. (2022). The performance practices of primary school mathematics teachers within the specialized standards of the education and training evaluation commission from the point of view of supervisors in Madinah. Arab Journal for Scientific Publication, 42, 821-852. https://shorturl.at/aQzHT

Baker, K., Jessup, N. A., Jacobs, V. R., Empson, S. B., & Case, J. (2020). Productive struggle in action. Mathematics Teacher: Learning and Teaching PK-12 MTLT, 113(5), 361-367. https://doi.org/10.5951/mtlt.2019.0060

Bal, A. P. (2014). The examination of representations used by classroom teacher candidates in solving mathematical problems. Educational sciences: Theory and practice, 14(6), 2349-2365. https://files.eric.ed.gov/fulltext/EJ1050592.pdf

Ballard, D. (2017). Discourse in math–Don’t just talk about it. Consortium on Reaching Excellence in Education. https://meredith4math.com/files/discourse-in-math-whitepaper.pdf

Barrenechea, I., Beech, J., & Rivas, A. (2023). How can education systems improve? A systematic literature review. Journal of Educational Change, 24(3), 479-499. https://doi.org/10.1007/s10833-022-09453-7

Courtney, S. A., & Caniglia, J. (2021). Comparing the mathematical practices pre-service teachers and mathematics teacher educators identified as relevant to problems and tasks. International Journal of Research in Education and Science, 7(3), 954-971. https://doi.org/10.46328/ijres.2335

Fredagsvik, M. S. (2023). The challenge of supporting creativity in problem-solving projects in science: a study of teachers’ conversational practices with students. Research in Science & Technological Education, 41(1), 289-305. https://doi.org/10.1080/02635143.2021.1898359

Gningue, S. M., Peach, R., & Schroder, B. (2013). Developing effective mathematics teaching: Assessing content and pedagogical knowledge, student-centered teaching, and student engagement. The Mathematics Enthusiast, 10(3), 621-646. https://doi.org/10.54870/1551-3440.1282

Grosser-Clarkson, D., & Neel, M. A. (2020). Contrast, commonality, and a call for clarity: A review of the use of core practices in teacher education. Journal of Teacher Education, 71(4), 464-476. https://doi.org/10.1177/0022487119880162

Gupta, D., Soto, M., Dick, L., Broderick, S. D., & Appelgate, M. (2018). Noticing and deciding the next steps for teaching: A cross-university study with elementary pre-service teachers. In G. J. Stylianides & K. Hino (Eds.), Research advances in the mathematical education of pre-service elementary teachers: An international perspective (pp. 261-275). Springer International Publishing. https://doi.org/10.1007/978-3-319-68342-3_18

Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students’ learning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 371-404). https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=3b2e2aabd07c64bb65408a3891902be4b7277cd6

Hull, T. H., Miles, R. H., & Balka, D. S. (2014). Realizing rigor in the mathematics classroom. SAGE. https://doi.org/10.4135/9781483394367

Khalil, I., Hashim, R., Wardat, Y., & Alasmari, N. (2023). Exploring primary school mathematics teachers’ strategies for enhancing students’ mathematical writing skills. Journal of Educational and Social Research, 13(4), 196-205. https://doi.org/10.36941/jesr-2023-0102

Khalil, I. A. (2024). The effectiveness of an educational program in developing mathematical achievement as well as developing productive struggle among students of intermediate stage. International Journal for Research in Education,, 48(1), 66-98. https://doi.org/10.36771/ijre.48.1.24-pp66-98

Lithner, J. (2017). Principles for designing mathematical tasks that enhance imitative and creative reasoning. Zdm, 49(6), 937-949. https://doi.org/10.1007/s11858-017-0867-3

McCarthy, P., Sithole, A., McCarthy, P., Cho, J.-p., & Gyan, E. (2016). Teacher questioning strategies in mathematical classroom discourse: A case study of two grade eight teachers in Tennessee, USA. Journal of Education and Practice, 7(21), 80-89. https://iiste.org/Journals/index.php/JEP/article/view/31975/32845

McCormick, M. (2018). Experimenting with reform-orientated approaches: Difficulties and advantages experienced by primary mathematics teachers. Mathematics Education Research Group of Australasia, 543-550. https://files.eric.ed.gov/fulltext/ED592448.pdf

Mohamed, R. H., Khalil, I. A., & Awaji, B. M. (2023). Mathematics teachers’ awareness of effective teaching practices: A comparative study. Eurasia Journal of Mathematics, Science and Technology Education, 19(2), em2230. https://doi.org/10.29333/ejmste/12962

NCTM. (2014). Principles ro actions: Ensuring mathematical success for all. National Council of Teachers of Mathematics.

Pepkolaj, L., Arnal-Palacián, M., Begué, N., & Prahmana, R. C. I. (2024). Demotivating factors in teaching mathematics: A study of Albanian teachers. Infinity Journal, 13(1), 27-44. https://doi.org/10.22460/infinity.v13i1.p27-44

Polit, D. F., Beck, C. T., & Owen, S. V. (2007). Is the CVI an acceptable indicator of content validity? Appraisal and recommendations. Research in Nursing & Health, 30(4), 459-467. https://doi.org/10.1002/nur.20199

Prahmana, R. C. I., Kusaka, S., Peni, N. R. N., Endo, H., Azhari, A., & Tanikawa, K. (2024). Cross-cultural insights on computational thinking in geometry: Indonesian and Japanese students’ perspectives. Journal on Mathematics Education, 15(2), 613-638. https://doi.org/10.22342/jme.v15i2.pp613-638

Rittle-Johnson, B., Schneider, M., & Star, J. R. (2015). Not a one-way street: Bidirectional relations between procedural and conceptual knowledge of mathematics. Educational Psychology Review, 27(4), 587-597. https://doi.org/10.1007/s10648-015-9302-x

Sari, E. P., & Karyati, K. (2022). CORE learning model (connecting, organizing, reflecting & extending) to improve mathematical representation ability. AIP Conference Proceedings, 2575(1), 050016. https://doi.org/10.1063/5.0110217

Schoenfeld, A. H. (2022). Why are learning and teaching mathematics so difficult? In M. Danesi (Ed.), Handbook of cognitive mathematics (pp. 1-35). Springer International Publishing. https://doi.org/10.1007/978-3-030-44982-7_10-1

Shahrill, M., Nurhasanah, F., Ibrahim, S. A., Prahmana, R. C. I., Asamoah, D., Mohammad, H., & Gan, A. L. (2023). Exploring students’ perceptions of private mathematics tutoring in three countries. Infinity Journal, 12(2), 339-358. https://doi.org/10.22460/infinity.v12i2.p339-358

Shaughnessy, M., & Boerst, T. (2018). Designing simulations to learn about pre-service teachers’ capabilities with eliciting and interpreting student thinking. In G. J. Stylianides & K. Hino (Eds.), Research advances in the mathematical education of pre-service elementary teachers: An international perspective (pp. 125-140). Springer International Publishing. https://doi.org/10.1007/978-3-319-68342-3_9

Shelton, R., Kerschen, K., & Cooper, S. (2020). The impact of a varied field experience on preservice teachers’ perceptions of their personal growth: A summer mathematics academy for early learners. The Teacher Educator, 55(1), 28-46. https://doi.org/10.1080/08878730.2019.1618424

Voon, X. P., Wong, S. L., Wong, L. H., Khambari, M. N. M., & Abdullah, S. I. S. S. (2022). Developing computational thinking competencies through constructivist argumentation learning: A problem-solving perspective. International Journal of Information and Education Technology, 12(6), 529-539. https://doi.org/10.18178/ijiet.2022.12.6.1650

Wakhata, R., Balimuttajjo, S., & Mutarutinya, V. (2024). Relationship between students’ attitude towards, and performance in mathematics word problems. PLoS One, 19(2), e0278593. https://doi.org/10.1371/journal.pone.0278593

Walkowiak, T. A., Berry, R. Q., Meyer, J. P., Rimm-Kaufman, S. E., & Ottmar, E. R. (2014). Introducing an observational measure of standards-based mathematics teaching practices: Evidence of validity and score reliability. Educational Studies in Mathematics, 85(1), 109-128. https://doi.org/10.1007/s10649-013-9499-x

Warshauer, H. K. (2015). Productive struggle in middle school mathematics classrooms. Journal of Mathematics Teacher Education, 18(4), 375-400. https://doi.org/10.1007/s10857-014-9286-3

Wernet, J. L., Lawrence, K. A., & Gilbertson, N. J. (2015). Making the most of modeling tasks. Mathematics Teaching in the Middle School, 21(5), 303-307. https://doi.org/10.5951/mathteacmiddscho.21.5.0303

Wilburne, J., Polly, D., Franz, D., & Wagstaff, D. A. (2018). Mathematics teachers' implementation of high-leverage teaching practices: A Q-sort study. School Science and Mathematics, 118(6), 232-243. https://doi.org/10.1111/ssm.12293

Wiliam, D. (2009). An Integrative Summary of the Research Literature and Implications for a New Theory of Formative Assessment. In H. L. Andrade & G. J. Cizek (Eds.), Handbook of formative assessment in the disciplines (pp. 18-40). Routledge. https://doi.org/10.4324/9780203874851

Yin, H., Shi, L., Tam, W. W. Y., & Lu, G. (2020). Linking university mathematics classroom environments to student achievement: The mediation of mathematics beliefs. Studies in Educational Evaluation, 66, 100905. https://doi.org/10.1016/j.stueduc.2020.100905

Zohar, A., & Ben-Ari, G. (2022). Teachers’ knowledge and professional development for metacognitive instruction in the context of higher order thinking. Metacognition and Learning, 17(3), 855-895. https://doi.org/10.1007/s11409-022-09310-1