Empowering teachers as drivers of educational change The role of teachers’ knowledge in achieving inclusive and equitable high-quality mathematics education
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Abstract
This study, grounded in Senge’s change theory, investigates the role of teachers’ knowledge in achieving inclusive and equitable quality mathematics education for all students. Specifically, it examines teachers’ understanding of concept-based mathematics teaching and their knowledge of the Standards for Mathematical Practice (SMPs), revealing knowledge gaps that may impact educational equity. This study’s findings indicate that teachers’ familiarity with the SMPs and their understanding of concept-based mathematics teaching are limited, potentially restricting students’ access to rigorous mathematics education. Furthermore, many teachers equate solving real-world problems with having a conceptual understanding of mathematics—a misconception that may hinder their ability to promote rigorous mathematics education. To address these challenges, professional development initiatives are proposed for achieving the United Nations’ Sustainable Development Goal 4, that is, providing equitable, high-quality education. This study recommends a collaborative and continuous improvement approach to professional development that integrates Senge’s concepts of personal mastery and team learning to foster a shared learning culture. While focusing on the U.S. context, these findings have global relevance, suggesting that mathematics education leaders worldwide should assess the gaps among educational policies, resources, and teachers’ knowledge within their systems.
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References
Association of Mathematics Teacher Educators, Standards for preparing teachers of mathematics, 2017. https://amte.net/sites/default/files/SPTM.pdf
Barshay, J., “Is it better to teach pure math instead of applied math? OECD study of 64 countries and regions finds significant rich-poor divide on math instruction”. The Hechinger Report, 2016. https://hechingerreport.org/pure-math-better-applied-math/
Brandt, J.-O., Barth, M., Hale, A., & Merritt, E., “Developing ESD-specific professional action competence for teachers: Knowledge, skills, and attitudes in implementing ESD at the school level”, Environmental Education Research, vol. 28(12), pp. 1691–1729, 2022. https://doi.org/10.1080/13504622.2022.2064973 DOI: https://doi.org/10.1080/13504622.2022.2064973
Cai, Y. & Wolff, L.-A., “Education and sustainable development goals”, Sustainability, vol. 15(1), p. 643, 2023. https://doi.org/10.3390/su15010643 DOI: https://doi.org/10.3390/su15010643
Creswell, J. W. & Clark, V. L. P., Designing and conducting mixed methods research (3rd ed.). Sage Publications, 2018.
Creswell, J. W., & Creswell, J. D., Research design: Qualitative, quantitative, and mixed methods approaches (5th ed.). Sage Publications, 2018.
Dykema, K., Let’s make sense. National Council of Teachers of Mathematics, 2022. Retrieved December 1, 2024. https://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Kevin-Dykema/Let_s-Make-Sense/
Deming, W. E., The new economics: For industry, government, education. MIT Press, 2018. DOI: https://doi.org/10.7551/mitpress/11458.001.0001
EdReports., Review criteria mathematics grades K–8. EdReports, n. d. https://cdn.edreports.org/reviewtools/ag9zfmVkcmVwb3J0cy13ZWJyIAsSB1N1YmplY3QYBQwLEgpSZXZpZXdUb29sGLH6mzsM/review-tool.pdf
Erickson, L., Concept-based teaching and learning. International Baccalaureate Organization, 2012. http://www.ibmidatlantic.org/Concept_Based_Teaching_Learning.pdf
Fowler, F. J., Jr., Survey research methods (5th ed.). Sage Publications, 2014.
Garvin, D. A. Learning in action: A guide to putting the learning organization to work. Harvard Business School Press, 2000.
Huinker, D. & Bill, V. “Taking action: Implementing effective mathematics teaching practices in K-grade 5”, National Council of Teachers of Mathematics, 2017.
International Labour Organization, Strengthening the teaching profession: Policies, strategies and practices. International Labour Organization, 2023. https://www.ilo.org/sites/default/files/wcmsp5/groups/public/%40ed_dialogue/%40sector/documents/publication/wcms_912921.pdf
Jamali, S. M., Nader, A. E., & Jamali, F., “The role of STEM education in improving the quality of education: A bibliometric study”, International Journal of Technology and Design Education, vol. 33(3), pp. 819–840, 2022. https://doi.org/10.1007/s10798-022-09762-1 DOI: https://doi.org/10.1007/s10798-022-09762-1
Larson, M. Mathematics learning: A journey, not a sprint. 2017. https://my.nctm.org/blogs/matthew-larson/2017/12/20/mathematics-learning-a-journey-not-a-sprint
Leikin, R. “The education of mathematically gifted students: Some complexities and questions”, The Mathematics Enthusiast, vol. 8(1–2), pp. 167–188, 2011. https://doi.org/10.54870/1551-3440.1211 DOI: https://doi.org/10.54870/1551-3440.1211
Michalek, J. “Shifting math instruction: Rigor in the classroom”. 2019. https://portal.ct.gov/-/media/SDE/NetStat/NetStat_11_15_19/Shifting_Math_Instruction_Rigor_in_the_Classroom.pdf
National Council of Teachers of Mathematics, Principles to actions: Ensuring mathematical success for all. National Council of Teachers of Mathematics, 2014.
National Council of Teachers of Mathematics, NCTM position statement: Procedural fluency: Reasoning and decision-making, not rote application of procedures. Position, 2023. https://www.nctm.org/uploadedFiles/Standards_and_Positions/Position_Statements/PROCEDURAL_FLUENCY.pdf
National Governors Association Center for Best Practices & Council of Chief State School Officers, Common Core State Standards Mathematics. National Governors Association Center for Best Practices, Council of Chief State School Officers, 2010.
National Research Council, Adding it up: Helping children learn mathematics. National Academies Press, 2001. https://doi.org/10.17226/9822. DOI: https://doi.org/10.17226/9822
National Science Foundation, STEM education for the future: A visioning report. National Science Foundation, 2020. https://www.nsf.gov/edu/Materials/STEM%20Education%20for%20the%20Future%20-%202020%20Visioning%20Report.pdf
Organisation for Economic Co-operation and Development, PISA 2022 Mathematics Framework (Draft). Organisation for Economic Co-operation and Development, 2018.
https://pisa2022maths.oecd.org/files/PISA%202022%20Mathematics%20Framework%20Draft.pdf
Pink, D. H., A whole new mind: Why right-brainers will rule the future. Riverhead Books, 2005.
Powell, S. R., Connecting evidence-based practice with implementation opportunities in special education mathematics preparation. Intervention in School & Clinic, vol. 51(2), pp. 90–96, 2015. https://doi.org/10.1177/1053451215579269 DOI: https://doi.org/10.1177/1053451215579269
Rutherford, K., What do the Standards for Mathematical Practice mean to you? [Blog post]. National Council of Teachers of Mathematics, 2015. https://www.nctm.org/Publications/TCM-blog/Blog/What-Do-the-Standards-for-Mathematical-Practice-Mean-to-You_/
Schmidt, W., PISA and TIMSS: A distinction without a difference? Shanker Institute, 2014. https://www.shankerinstitute.org/blog/pisa-and-timss-distinction-without-difference
Senge, P., The fifth discipline: The art and practice of the learning organization. Random House Books, 2006.
Senge, P. M., Kleiner, A., Roberts, C., Ross, R. B., & Smith, B. J., The fifth discipline fieldbook: Strategies and tools for building a learning organization. Crown Currency, 1994.
Senge, P. M., Kleiner, A., Roberts, C., Ross, R. B., Roth, G., & Smith, B. J., The dance of change: The challenges of sustaining momentum in learning organizations. Nicholas Brealey Publishing, 1999. DOI: https://doi.org/10.1002/pfi.4140380511
Senge, P. M., Cambron-McCabe, N., Lucas, T., Smith, B., & Dutton, J., Schools that learn: A fifth discipline fieldbook for educators, parents and everyone who cares about education (First revision). Crown Business, 2012.
Smith, L., Deep dive: How math practices 1–3 help all students access math learning and build skills for the future. EdReports, 2004. https://web.edreports.org/resources/article/deep-dive-how-math-practices-1-3-help-all-students-access-math-learning-and-build-skills-for-the-future
Snyder, K. M., Expanding how we think about quality in education. In K. J. Snyder & K. M. Snyder (Eds.), Systems thinking for sustainable schooling: A mindshift for educators to lead and achieve quality schools (pp. 25–42). Rowman & Littlefield, 2023. DOI: https://doi.org/10.5771/9781475866414
Snyder, K. M., Acker-Hocevar, M., & Snyder K. J., Living on the edge of chaos: Leading schools into the global age. ASQ Quality Press, 2008.
United Nations Educational, Scientific and Cultural Organization (UNESCO), Unpacking Sustainable Development Goal 4: Education 2030. UNESCO, 2017. https://unesdoc.unesco.org/ark:/48223/pf0000246300
UNESCO, UN Secretary-General’s high-level panel on the teaching profession puts forward recommendations to allow teachers to thrive. UNESCO, 2023. https://www.unesco.org/sdg4education2030/en/articles/un-secretary-generals-high-level-panel-teaching-profession-puts-forward-recommendations-allow
UNESCO, UN recommendations on the teaching profession: What you need to know. UNESCO, 2024. https://www.unesco.org/sdg4education2030/en/articles/un-recommendations-teaching-profession-what-you-need-know
Wathall, J. T. H., Concept-based mathematics: Teaching for deep understanding in secondary classrooms. Corwin Press, 2016. DOI: https://doi.org/10.4135/9781071872697