Rebecca H Mcgraw

Interests

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Courses

Scholarly Contributions

Chapters

• Arbaugh, F., Mcgraw, R. H., & Patterson, C. L. (2019). Collaborations between mathematics educators and mathematicians for mathematics teacher education in the United States. In International Handbook of Mathematics Teacher Education, Volume 3(pp 153-181). Brill. doi:https://doi.org/10.1163/9789004419230_007
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  Arbaugh, F., McGraw, R., & Patterson, C. L. (2019). Collaborations between mathematics educators and mathematicians for mathematics teacher education in the United States. In G. M. Lloyd & O. Chapman, International Handbook of Mathematics Teacher Education, Volume 3, 153-181. Boston: Brill. https://doi.org/10.1163/9789004419230_007
• Eli, J. A., Mcgraw, R. H., Anhalt, C. O., & Civil, M. (2019). Stronger together: The Arizona Mathematics Teaching (MaTh) Noyce Program’s Collaborative Model for Secondary Teacher Preparation. In Recruiting, retaining, and preparing STEM teachers for a global generation. Rotterdam, Netherlands: Sense.
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  Eli, J., McGraw R., Anhalt, C., & Civil, M. (2019). Stronger Together: The AZ Mathematics Teaching (MaTh) Noyce Program’s Collaborative Model for Secondary Teacher Preparation. Book chapter in J. Leonard, A. Burrows, and R. Kitchen (Eds.), Recruiting, Preparing, and Retaining STEM Teachers for a Global Generation. Sense Publishers, The Netherlands.
• Mcgraw, R. H. (2010). How teachers' actions affect what students learn in secondary school mathematics classrooms. In Teaching and learning mathematics: Translating research for secondary school teachers(pp 61-66). Reston, VA: National Council of Teachers of Mathematics.

Journals/Publications

• Mcgraw, R. H. (2024). Unpacking mathematics preservice teachers' conceptions of equity. Mathematics Education Research Journal, 36, 645-670. doi:https://doi.org/10.1007/s13394-023-00463-z
• Mcgraw, R. H., Anthony, F., Aubrey, N., & Jennifer, W. A. (2020). Pre-Service Mathematics Teachers’ Learning About Equity: Methods and Early Results of Our Study. Advancing Research & Innovation in STEM Education (ARISE), online blog.
• Mcgraw, R. H., & Patterson, C. L. (2019). Establishing Problem Spaces and Boundaries During Small Group Work on a Contextualized Problem. Journal of Mathematics Education, 12(2), 1-17. doi:https://doi.org/10.26711/007577152790044
• McGraw, R. H. (2018). Planning for A Poster Fair. Arizona Association of Teacher of Mathematics: OnCore, 9-14.
• Patterson, C. L., & McGraw, R. (2018). When time is an implicit variable: An investigation of students’ ways of understanding graphing tasks. Mathematical Thinking and Learning, 20(4), 295-323. doi:10.1080/10986065.2018.1509421
• McGraw, R. H. (2017). Quadrilateral Diagonals and Area. The Mathematics Teacher, 110(7), 499-504.
• Mcgraw, R. H., Rubinstein-Avila, E., Sox, A., & Kaplan, S. (2015). Does biliteracy + mathematical discourse = binumeracy. Urban Education.
• Romero, D., Mcgraw, R., & Krueger, R. (2006). How Far Up Am I? The Mathematics of Stadium Seating. Mathematics Teacher: Learning and Teaching PK–12, 100(4), 248-253. doi:10.5951/mt.100.4.0248

Proceedings Publications

• Ekmekci, A., Aqazade, M., Callard, C., Gibson, D., Rushton, G., & Mcgraw, R. H. (2022, November). The role of self-efficacy, leadership, school-work environment, diversity beliefs, and social networks in teacher retention
  
  . In The North American Chapter of the International Group for the Psychology of Mathematics Education, 44, 986-987.
• Mcgraw, R. H., Fernandes, A., Jarnutowski, B., & Wolfe, J. A. (2022, November). Preservice and Beginning Teachers' Perspectives on Equity. In The North American Chapter of the International Group for the Psychology of Mathematics Education, 44, 1225-1229.
• Mcgraw, R. H. (2021, Fall). Extractive and Inferential Discourses for Equation Solving. In North American Chapter of the International Group for Psychology of Mathematics Education, 390-394.
• Mcgraw, R. H., Katrina, P., Lynda, W., Dias, A., Goncalves, H., Hall, J., Hodge, A., Kersey, B., Rubel, L., & Wilkey, D. (2019, November). Working Group on Gender and Sexuality in Mathematics Education: Experiences of People Across Cultures. In PME-NA (Psychology of Mathematics Education - North American Chapter), 41, 1940-1953.
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  Otten, S., Candela, A. G., de Araujo, Z., Haines, C., & Munter, C. (2019). Proceedings of the forty-first annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. St Louis, MO: University of Missouri.
• Mcgraw, R. H. (2018, November). K-8 Teachers' Stories of Mathematics-Related Transformation. In Psychology of Mathematics Education - North American Chapter, 40, 402-405.
• Mcgraw, R. H. (2018, November). Working Group on Gender and Sexuality in Mathematics Education: Linking the Past to the Future. In Psychology of Mathematics Education - North American Chapter, 40, 1459-1468.
• Mcgraw, R. H., & Patterson, C. (2017, November). Contextualized Mathematics Problems and Transfer of Knowledge: Establishing Problem Spaces and Boundaries. In 39th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, 661-668.
• Mcgraw, R. H., & Torres, A. J. (2016, Fall 2016). Pre-Service Teachers' Ways of Thinking about Area and Formulas. In 38th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, 290-293.
• Patterson, C., & Mcgraw, R. H. (2016, Fall 2016). Teachers' Covariational Reasoning in Context: Responses to a Graphing Task. In 38th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, 208.
• Mcgraw, R. H., Prasad, P. V., & Blackburn, C. (2011, October). Integrating Content and Pedagogy in Secondary Teacher Preparation: Collaborating Across the Disciplinary Boundaries of Mathematics and Mathematics Education.. In Thirty-Third Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.

Presentations

• Mcgraw, R. H. (2022, January). Why Giants Can't Exist: Surface Area and Volume in the Real World. Mathematics Educator Appreciation Day. Tucson, Arizona: Center for Recruitment and Retention of Mathematics Teachers and Tucson Unified School District.
• Mcgraw, R. H. (2021, January). Covariational Reasoning and Mathematics Teacher Preparation. AMS/MAA Joint Meetings. Virtual: American Mathematical Society and Mathematical Association of America.
• Mcgraw, R. H., & Aubrey, N. (2020, February). Connecting Preservice Teachers’ Learning of Mathematics and Pedagogy to Social Justice and Culturally Responsive Teaching. Annual Conference of the Association for Mathematics Teacher Education (AMTE). Phoenix, AZ.
• Mcgraw, R. H. (2019, February). Teacher Education for Equitable Mathematics Instruction (TEEM): An Exploratory Noyce Track 4 Research Study. Western Regional Noyce Conference. Tucson, AZ: NSF - Noyce.
• Mcgraw, R. H. (2018, October). “I’m having trouble getting my head out of thinking time and distance”: An exploratory study of students’ solutions to graphing tasks in which time is an implicit variable. Invited Talk (Penn State). Pennsylvania State University.
• Mcgraw, R. H., & Neihaus, A. (2018, February). Transformative Learning Experiences: Professional Learning from the Teacher’s Perspective and Implications for Professional Development Programs. Annual Conference of the Association for Mathematics Teacher Educators (AMTE). Houston, TX: Assocation of Mathematics Teacher Educators (AMTE).
• Patterson, C., & Mcgraw, R. H. (2018, January). Making Sense of Students' Thinking about Graphing, Covariation, and Linearity. Joint Mathematics Meetings/ MAA Session on Mathematical Knowledge for Teaching. San Diego, CA: AMS/MAA.
• Mcgraw, R. H. (2016, December). Contextualized Mathematics Problems and Transfer of Knowledge: Establishing Problem Spaces and Boundaries. Mathematics Colloquia at the University of Texas - San Antonio. University of Texas - San Antonio: Mathematics Department University of San Antonio.
• Mcgraw, R. H. (2015, February). Making, Testing, and Proving Mathematical Conjectures in a Computer Environment:. Undergraduate Research Assistant (URA) seminar. Tucson, AZ.
• Mcgraw, R. H. (2014, April). From K-12 to the University and Back Again: Preparing Future Teachers with an Eye to the Common Core. American Mathematics Society Western Sectional Meeting. Albuquerque, NM: AMS.

Poster Presentations

• Wolfe, J. A., Fernandes, A., Jarnutowski, B., & Mcgraw, R. H. (2022, September). Preservice Secondary Mathematics Teachers’ Perspectives of Equity. National Council of Teachers of Mathematics Research Conference. Los Angeles, California: National Council of Teachers of Mathematics.