Scholarly and Creative Works
2024
- Melhuish, K. M., Strickland, S. K., Han, S., & Sorto, M. A. (2024). Why Ask Why? An Analysis of Teachers’ Why-Questions in Elementary and Middle Grade Mathematics Classrooms. Journal of Mathematics Teacher Education.
- Namakshi, N., Warshauer, H. K., Sorto, M. A., & White, A. (2024). Investigating prospective teachers’ assessment of student thinking and their mathematical knowledge for teaching. In Proceedings of the forty-sixth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Kent, Ohio, USA: Kent State University.
- Sorto, M. A. (n.d.). Constructing the observables, claiming the unobservables: The challenges of analytic tools in mathematics education.
2023
- Ortiz, A. M., Sorto, M. A., Perea, P., & Rojas Annicchiarico, C. D. (2023). Exploring Engineering Engagement and Career Consideration through an Integrated Engineering Design and Algebraic Program for Students in Honduras. Denton, Texas: American Society for Engineering Education.
- Melhuish, K. M., Ellis, B. M., & Sorto, M. A. (2023). Using a formative evaluation framework to validate a teaching observation tool. In T. Lamberg & D. Moss (Eds.). Proceedings of the Forty-Fifth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) (Vol. 1, pp. 760–769). https://doi.org/https://doi.org/10.51272/pmena.45.2023
- Sorto, M. A., & Civil, M. (2023). Learning how to incorporate sociocultural elements in Mathematics Education. In P. Scott, Y. Morales, & A. Ruiz (Eds.), Educación Matemática en las Américas 2023 Trabajos invitados de la XVI CIAEM (pp. 245–250).
- Civil, M., & Sorto, M. A. (2023). Equity in Mathematics Education: Experiences based on a sociocultural approach. In P. Scott, Y. Morales, & A. Ruiz (Eds.), Educación Matemática en las Américas 2023 Trabajos invitados de la XVI CIAEM (pp. 112–122).
- Krell, M. W., Dirdak, A., Quintos, B., Wilson, J., Sorto, M. A., & Galindo, C. (2023). Multilingual classrooms: Development of an observational analytic tool to examine mathematics instruction. In T. Lamberg & D. Moss (Eds.), Proceedings of the forty-fifth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) (pp. 927–931).
2021
- Melhuish, K. M., White, A., Sorto, M. A., & Thanheiser, E. (2021). Two Replication Studies of the Relationships between Mathematical Knowledge for Teaching, Mathematical Quality of Instruction, and Student Achievement. Implementation and Replication Studies in Mathematics Education.
- Melhuish, K. M., Byeonguk Han, S., Sorto, M. A., & Strickland, S. K. (2021). An exploration of teachers’ why-questions in the mathematics classroom. In In Olanoff, D., Johnson, K., & Spitzer, S.M. (Eds.) Proceedings of the Forty-third annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA).
2020
- Marshall, J. H., & Sorto, M. A. (2020). What are the main challenges to learning mathematics in Latin America and the Caribbean? In E. Arias, J. Cristia, & S. Cueto (Eds.), Learning Mathematics in the 21st Century. Adding Technology to the Equation (pp. 141–179). Washington D.C., United States: Inter-American Development Bank.
- Sugimoto, A., Thanheiser, E., Sorto, M. A., & Melhuish, K. M. (2020). Operationalizing access for students: making meaning of tasks, contexts, and language. In In Sacristán, A.I., Cortés-Zavala, J.C. & Ruiz-Arias, P.M. (Eds.). Mathematics Education Across Cultures: Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.
- Wilkerson, T. L., Sorto, M. A., Jasper, W. A., Cooper, S., Mallan, W., Eddy, C. M., … Ward, E. K. (2020). A Framework for Measuring Algebra Teacher Self-efficacy. In P. M. Jenlink (Ed.), A commitment to teaching: Toward more efficacious teacher preparation (pp. 45–71). Lanham, MD, USA: Rowman and Littlefield.
2019
- Harrell-Williams, L. M., Lovett, J. N., Lee, H. S., Pierce, R. L., Lesser, L. M., & Sorto, M. A. (2019). Validation of scores from the High School version of the self-efficacy to teach statistics (SETS-HS) instrument using pre-service mathematics teachers. Journal of Psychoeducational Assessment, 37(2), 194–208. Retrieved from http://journals.sagepub.com/eprint/wnjZIbWTkK5mY9VkdwUM/full
- Harrell-Williams, L. M., Lovett, J. N., Lesser, L. M., Lee, H. S., Pierce, R. L., Murphy, T. J., & Sorto, M. A. (2019). Measuring Self-Efficacy to Teach Statistics in Grades 6-12 Mathematics Teachers. In J. Bostic, E. Krupa, & J. Shih (Eds.), Assessment in mathematics education contexts: Theoretical frameworks and new directions (pp. 147–171). New York, NY: Routledge.
- Sorto, M. A., Melhuish, K. M., Thanheiser, E., Zied, K., Koehne, C., Sugimoto, A., … Strickland, S. K. (2019). Components of High-Quality Mathematics Classrooms: Attending to Learning Opportunities for English Language Learners. In In S. Otten, A. G. Candela, Z. de Araujo, C. Haines, & C. Munter (Eds.) Proceedings of the forty-first annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) (pp. 1594–1603).
2018
- Wilkerson, T., Eddy, C., Quebec-Fuentes, S., Sorto, M. A., Gupta, A., Ward, L., … Kerschen, K. (2018). Development and Validation of the Algebra Teachers’ Self-Efficacy Instrument: Assessment of Algebra Teachers’ Knowledge and Personal Teaching Efficacy. School Science Mathematics Journal, 118(6), 206–217. https://doi.org/10.1111/ssm.12291
- Harrell-Williams, L. M., Lovett, J. N., Sorto, M. A., Pierce, R. L., Lesser, L. M., & Murphy, T. J. (2018). Using the SETS Level A Items to Classify Pre-service Teachers’ Self-Efficacy to Teach Statistics: An Application of the Mixture Rasch Model. In M. A. Sorto, A. White, & L. Guyot (Eds.), Proceedings of the Tenth International Conference on Teaching Statistics (ICOTS10). Voorburg, The Netherlands: International Statistical Institute. Retrieved from http://iase-web.org/icots/10/proceedings/pdfs/ICOTS10_C220.pdf
- Sorto, M. A., Wilson, A. T., & White, A. (2018). Teacher Knowledge and Teaching Practices in Linguistically Diverse Classrooms. In J. Moschkovich, D. Wagner, A. Bose, J. Rodrigues, & M. Schütte (Eds.), Language and communication in mathematics education: International perspectives (pp. 219–231). Dordrecht: Springer.
- Sorto, M. A. (2018). Exploring the Volume of Mayan and Egyptian Pyramids. In S. McMillen, E. Friedland, & P. del P. Hill (Eds.), Integrating Math across the K-6 Curriculum. Reston, VA, USA: NCTM.
- Wilson, A. T., Kim, H. W., & Sorto, M. A. (2018). Exchanging deficit for affordance: Developing preservice teachers’ capacity to see emergent bilingual students’ resources. In T. E. Hodges, G. J. Roy, & A. M. Tyminski (Eds.), Proceedings of the 40th Annual Conference of the North American Meeting of the International Group for the Psychology of Mathematics Education (pp. 811–814). Greenville, SC: University of South Carolina & Clemson University.
2017
- Harrell-Williams, L. M., Lovett, J. N., Pierce, R. L., Sorto, M. A., Lee, H. S., & Lesser, L. M. (2017). The middle grades SETS instrument: Psychometric comparison of middle and high school pre-service mathematics teachers (pp. 1064–1067). Indianapolis, IN, USA: Hoosier Association of Mathematics Teacher Educators.
- Sorto, M. A., & Bower, R. S. G. (2017). Quality of instruction in linguistically diverse classrooms It matters! In A. Fernandes, S. Crespo, & M. Civil (Eds.), Access and Equity: Promoting high quality mathematics in grades 6-8 (pp. 27–40). Reston, VA, United States: NCTM.
- Sorto, M. A. (2017). CAREER: Mathematical Instruction for English Language Learners: Year 5 Report.
2016
- McBroom, E. S., Jiang, Z., Sorto, M. A., White, A., & Dickey, E. (2016). Dynamic Approach to Teaching Geometry: A Study of Teachers’ TPACK Development. In M. Niess, S. Driskell, & K. Hollebrands (Eds.), Handbook of Research on Transforming Teacher Education in the Digital Age (pp. 519–550). Hershey, PA, United States: IGI Global.
- Sorto, M. A., Bower, R. S., & Salazar, T. L. (2016). Effects of teacher knowledge and quality of instruction on linguistically diverse learners. In M. B. Wood, E. E. Turner, M. Civil, & J. A. Eli (Eds.) (pp. 1376–1379).
- Sorto, M. A., Jiang, Z., White, A., & Strickland, S. K. (2016). Reprint: An Observational Protocol Measuring Secondary Teachers’ Implementation of Dynamic Geometry Approach. In E. Dickey, Z. Jiang, A. White, & B. Webre (Eds.), Findings of the Dynamic Geometry in the Classroom Project at Texas State University.
- Cueto, S., Leon, J., Sorto, M. A., & Miranda, A. (2016). Teachers’ Pedagogical Content Knowledge and Mathematics Achievement in Peru. Educational Studies in Mathematics, 94(3), 329–345. https://doi.org/10.1007/s10649-016-9735-2
- Sorto, M. A. (2016). CAREER: Mathematical Instruction for English Language Learners: Year 4 Report.
2015
- Sorto, M. A., Jiang, Z., White, A., & Strickland, S. (2015). An Observational Protocol Measuring Secondary Teachers’ Implementation of Dynamic Geometry Approach. Mathematics Teaching – Research Journal, 7(4).
- Harrell- Williams, L. M., Sorto, M. A., Pierce, R. L., Lesser, L. M., & Murphy, T. J. (2015). Identifying Statistical Concepts Associated with High and Low Levels of Self-Efficacy to Teach Statistics to Middle Grades. Journal of Statistics Education, 23(1). Retrieved from http://www.amstat.org/publications/jse/contents_2015.html
- Eddy, C. M., Quebec Fuentes, S., Ward, E. K., Parker, Y. A., Cooper, S., Mallam, W., … Wilkerson, T. (2015). Unifying the algebra for all movement. Journal of Advanced Academics, 26(1), 59–92. https://doi.org/10.1177/1932202X14562393
- Jiang, Z., White, A., Sorto, M. A., Dickey, E., McBroom, E. S., & Rosenwasser, A. (2015). A Dynamic Geometry-Centered Professional Development Program and its Impact. In T. G. Bartell, K. N. Bieda, R. T. Putnam, K. Bradfield, & H. Dominguez (Eds.) (pp. 1202–1209).
- Jiang, Z., White, A., Sorto, A., Dickey, E., McBroom, E., & Rosenwasser, A. (2015). A Dynamic Geometry-Centered Professional Development Program and Its Impact.
2014
- Shalem, Y., Sapire, I., & Sorto, M. A. (2014). Teachers’ explanations of learners’ errors in a standardised mathematics assessment. Pythagoras Journal of the Association for Mathematics Education of South Africa, 35(1). https://doi.org/10.4102/pythagoras.v35i1.254
- Harrell- Williams, L. M., Sorto, M. A., Pierce, R. L., Lesser, L. M., & Murphy, T. J. (2014). Validation of scores from a measure of teachers’ self-efficacy to teach middle grades statistics. Journal of Psychoeducational Assessment, 32(1), 40–50. https://doi.org/10.1177/0734282913486256
- White, A., Sorto, M. A., & Oktavia, R. (2014). Featured STEW Lesson Plan: The Gumball Machine. Online Journal of K-12 Statistics Lesson Plans. Retrieved from http://www.amstat.org/education/stew
- Eddy, C. M., Jasper, W. A., Wilkerson, T. L., Sorto, M. A., Cooper, S., Ward, E., … Parker, Y. A. (2014). A conceptual model for algebra teacher self-efficacy. In G. T. Mattney & S. M. Che (Eds.), Proceedings of the 41st Annual Meeting of the Research Council on Mathematics Learning (pp. 129–137).
- Oktavia, R., & Sorto, M. A. (2014). Confirmatory and exploratory factor analyses of students’ developmental levels in learning statistics. In K. Makar, B. de Sausa, & R. Gould (Eds.). Voorburg, The Netherlands: International Statistical Institute. Retrieved from http://icots.net/9/
- Harrell- Williams, L. M., Sorto, M. A., Pierce, R. L., Lesser, L. M., & Murphy, T. J. (2014). Using the SETS instruments to investigate source of variation in levels of pre-service teacher efficacy to teach statistics. Retrieved from http://icots.net/9/
- Chandia, E., Araneda, A., & Sorto, M. A. (2014). Statistics and probability curriculum development for future elementary teachers in Chile: Collaboration among countries. Retrieved from http://icots.net/9/
- Sorto, M. A. (2014). CAREER: Mathematical Instruction for English Language Learners: Year 3 Report.
- Sorto, M. A., Mejía Colindres, C. A., & Wilson, A. T. (2014). Uncovering and eliciting mathematical perceptions in linguistically diverse classrooms. Mathematics Teaching in the Middle School, 20(2), 72–77.
2013
- Araneda, A., Chandia, E., & Sorto, M. A. (2013). Datos y Azar para Futuros Profesores de Educación Básica. [Data and Chance for Future Elementary School Teachers]. Providencia, Santiago, Chile: Ediciones SM Chile S. A.
- Sorto, M. A. (2013). CAREER: Mathematical Instruction for English Language Learners: Year 2 Report.
2012
- Sorto, M. A., & Sapire, I. (2012). Teacher proficiency to teach mathematics. In M. Carnoy, L. Chisholm, & B. Chilisa (Eds.), The low achievement trap. Comparing schools in Botswana and South Africa (pp. 105–113). Cape Town, South Africa: HSRC Press.
- Sapire, I., & Sorto, M. A. (2012). Analyzing teaching quality in Botswana and South Africa. Prospects Quarterly Review of Comparative Education, 42(4), 433–451. Retrieved from http://www.ibe.unesco.org/en/document/comparing-learner-performance-southern-africa-prospects-164
- Marshall, J. H., & Sorto, M. A. (2012). The Effects of Teacher Mathematics Knowledge and Pedagogy on Student Achievement in Rural Guatemala. International Review of Education, 58(2), 173–197. Retrieved from https://link.springer.com/article/10.1007/s11159-012-9276-6
- Sorto, M. A. (2012). CAREER: Mathematical Instruction for English Language Learners: Year 1 Report.
2011
- Sorto, M. A. (2011). Statistical training of Central American teachers. In C. Batanero & C. Reading (Eds.), Teaching Statistics in School Mathematics - Challenges for Teaching and Teacher Education: A joint ICMI/IASE Study (pp. 47–51). New York, United States: Springer.
- Sorto, M. A., & Sapire, I. (2011). The teaching quality of mathematics lesson in South Africa schools. Journal of Education, 23(51), 93–114. Retrieved from http://joe.ukzn.ac.za/Libraries/No_51_2011/The_teaching_quality_of_mathematics_lessons_in_South_African_schools.sflb.ashx
- Sorto, M. A., White, A., & Lesser, L. (2011). Students’ own methods for determining best line of fit: Implications for teaching. Teaching Statistics Journal, 33(2), 49–52. Retrieved from http://onlinelibrary.wiley.com/doi/10.1111/j.1467-9639.2010.00458.x/pdf
- Sorto, M. A. (2011). Identifying Statistical Knowledge for Middle School Teachers: An Analysis of Content Standards. School Science and Mathematics Journal, 111(3), 118–125. Retrieved from http://onlinelibrary.wiley.com/doi/10.1111/j.1949-8594.2010.00068.x/full
2010
- Warshauer, M. L., McCabe, T., Sorto, M. A., Strickland, S., Warshauer, H. K., & White, A. (2010). Equity. In M. Saul, S. Assouline, & L. J. Sheffield (Eds.), The Peak in the Middle: Developing mathematically gifted students in the middle grades (pp. 155–170). San Marcos, United States: NCTM.
- Sorto, M. A., & Luschie, T. (2010). Teacher education, supervision, and evaluation in Costa Rica. In K. G. Karras, G. Mavroides, & C. C. Wolhuter (Eds.), International Handbook on Teacher Education (pp. 665–675). Nicosia, Cyprus: UNESCO Chair of Education and University of Nicosia Press.
- Luschie, T., & Sorto, M. A. (2010). Teacher education, supervision, and evaluation in Panama. In K. G. Karras, G. Mavroides, & C. C. Wolhuter (Eds.), International Handbook on Teacher Education (pp. 727–745). Nicosia, Cyprus: UNESCO Chair of Education and University of Nicosia Press.
- Sorto, M. A. (2010). Investigating Teaching Practices in Latin America: Reflections for English Learners Teacher Preparation. Teaching for Excellence and Equity in Mathematics, 2(1), 14–21.
- McCabe, T., Sorto, M. A., & White, A. (2010). Algebra on the Number Line. Mathematics Teacher, 104(5), 379–386.
- Sorto, M. A. (2010). Comparing Students and Teachers’ Statistical Knowledge in Botswana and South Africa: Some Preliminary Results. In C. Reading (Ed.), Proceeding of the Eighth International Conference on Teaching Statistics (CD-ROM). Voorburg, The Netherlands: International Statistics Institute.
- Sorto, M. A., Harrell, L. M., Pierce, R. L., Murphy, T. J., Enders, F. B., & Lesser, L. M. (2010). Experts’ Perceptions in Linking GAISE Guidelines to the Self-Efficacy to Teach Statistics Instrument (pp. 4289–4294). Alexandria, VA: American Statistical Association.
- Sorto, M. A., & Sapire, I. (2010). Comparative Analysis of Mathematical Teaching Quality in Botswana, South Africa, and Kenya.
2009
- Sorto, M. A., Marshall, J. H., Luchei, T. F., & Carnoy, M. (2009). Teacher knowledge and teaching in Panama and Costa Rica: a comparative study in primary and secondary education. Revista Latinoamericana de Investigación En Matemática Educativa, 12(2), 251–290.
- Sorto, M. A. (2009). Exploring Volume of Mayan and Egyptian Pyramids. Mathematics Teaching in the Middle School, 15(5), 294–300.
- Sorto, M. A. (2009). [Review of Mentoring Bilingual Mathematics Teachers, by G. Zimmerman, P. Guinee, L. M. Fulmore, & E. Murray]. In Empowering the Mentors of the Experience Mathematics Teacher (pp. 57–58). Reston, VA, United States: NCTM.
- Sorto, M. A., & Lesser, L. (2009). Towards measuring technological pedagogical content knowledge in statistics: A pilot survey of middle school teachers using graphing calculators. Retrieved from http://www.stat.auckland.ac.nz/~iase/publications.php
- Harrell, L. M., Pierce, R. L., Sorto, M. A., Murphy, T. J., Lesser, L. M., & Enders, F. B. (2009). On the importance and measurement of pre-service teachers’ efficacy to teach statistics: Results and lessons learned from the development and testing of a GAISE-based instrument (pp. 3396–3403). Alexandria, VA: American Statistical Association. Retrieved from http://www.statlit.org/pdf/2009HarrellEtAlASA.pdf
- Sorto, M. A., McCabe, T., Warshauer, M., & Warshauer, H. K. (2009). Understanding the value of a question: an analysis of a lesson. Journal of Mathematical Sciences and Mathematics Education, 4(1), 50–60.
2008
- Sorto, M. A. (2008). The Statistical Performance in a Comparative Study Between Central American Teachers. In C. Batanero, G. Burril, C. Reading, & A. Rossman (Eds.), Proceedings of the ICMI Study 18 Conference and IASE 2008 Round Table Conference. Retrieved from http://www.ugr.es/~icmi/iase_study/
- Sorto, M. A. (2008). Collaborative Projects in Statistics Education Research. In J. Dustin (Ed.), Proceedings of the Second Conference on Mathematics Education Research in Texas (pp. 14–17).
- Hilton, S., Kaplan, J., Hooks, T., Harrel, L. M., Fisher, D., & Sorto, M. A. (2008). Collaborative projects in statistics education. In Proceedings of the Second Conference on Mathematics Education Research in Texas (pp. 752–756).
- Sorto, M. A., & Sapire, I. (2008). Video Analysis for South Africa Grade 6 schools.
- Sorto, M. A., & White, A. (2008). The gumball machine: Linking research and practice about the concept of variability. Journal of Statistics Education, 16(2). Retrieved from http://www.amstat.org/publications/jse/
2007
- Sorto, M. A. (2007). Assessing the Knowledge of Future Middle School Teachers in Statistics by Lesson Design. Retrieved from http://www.stat.auckland.ac.nz/~iase/publications/sat07/Sorto.pdf
- Sorto, M. A. (2007). Recomendaciones generales para el diseño de pruebas estandarizadas de Matemáticas. [General recommendations for the design of standardized tests in Mathematics].
- Sorto, M. A. (2007). Informe de Viaje.
- Sorto, M. A., & Marshall, J. H. (2007). A Profile of Mathematics Instruction in Panama Basic Education.
2006
- Sorto, M. A. (2006). Identifying Content Knowledge for Teaching Statistics. In A. Rossman & B. Chance (Eds.), Proceedings of the Seventh International Conference on Teaching Statistics, Brazil. Retrieved from http://www.stat.auckland.ac.nz/~iase/publications.php?show=17
- Sorto, M. A. (2006). Statistical Knowledge of Prospective Teachers and its Application to Teaching. Retrieved from http://www.hicstatistics.org/Proceedings_Stats.htm
- Sorto, M. A. (2006). Informe de Consultaría para la Revisión del Listado Preliminar de Estándares Educativos de Primaria (K – 3).
1993
- Kaigh, W. D., & Sorto, M. A. (1993). Subsampling quantile estimator majorization inequalities. Statistics and Probability Letters, 18(55), 373–379.