Armando Preciado Babb

Director - Math Minds Initiative

Dr. Preciado has a backwround in mathematics, including both a bachelor and a masters from UNAM, Mexico. During these studies he was also involved in education at high school and undergraduate levels. Additionally, he participated as trainer for the Mathematics Olympiad team at provincial and national levels in México. He has been an instructor for other trainers including teachers at different grade levels. In 2011 Dr. Preciado earned a PhD degree in mathematics education at Simon Fraser University. He was a postdoctoral fellow at Galileo Educational Network Association from 2011 to 2014 conducting professional development for mathematics and science teachers.

Currently, Dr. Preciado holds the position of Director - Math Minds (Early Mathematics Initiative), comprising several partners including: Calgary Catholic School Distric, Golden Hills School Division, the Werklund School of Education, JUMP Math. The overarching goals of the Research Partnership within the Math Minds initiative are to:

• Increase student engagement, self-esteem and achievement in mathematics;
• Deepen teacher’s conceptual understanding of mathematics and to apply mathematical knowledge to enhance classroom instruction; and
• Showcase excellence in teaching and learning math concepts to the wider community (parents, pre-service teachers, in-service teachers, graduate students, and the public, including media).

 In addtion to Math Minds, Dr. Preciado participates activelly in several projects related to mathematics education.

Currently Dr. Preciado Babb is the Director - Early Mathematics Initiative, a 5-year partnership involving the Catholic School Distric, JUMP Math and the Werklund School of Education, and funded by Canadian Oil Sands and Suncor Energy Fundation. This project aims at the mathematical knowledge teachers need to know to teach well.

Dr. Preciado Babb has focused on the collaborative design of tasks and lessons aimed at promoting deep mathematical understanding through intellectual engagement. His research also includes projects at high school for science, social sciences, and English language and arts. These projects were also aimed at engage students intellectually in the corresponding disciple through integration of mobile technology in the classroom.

He has been conducting concept study with teacher in different courses at the Werklund School of Education. Recently, a workshop he proposed to BIRS has been accepted for the new station in Oaxaca, Mexico for 2015, CMO . The purpose of this workshop is to conduct concept study with teachers speaking English, Spanish and native languages in order to expand our understanding of mathematical meanings across languages and cultures.

Current Projects:

• Math Minds Initiative
• Learning Mathematics at Kainai Board of Education

PhD Mathematics Education
Simon Fraser University

Masters in Science (Mathematics)
Universidad Nacional Autónoma de México

Bachelor of Mathematics
Universidad Nacional Autónoma de México

Dr. Preciado Babb has been on professional development for teachers in mathematics. This includes both undergraduate courses for education and programs for practicing teachers. He has long experience working collaboratively in the design of rich mathematical tasks with teachers and other stake-holders.

Book Chapters

Preciado-Babb, A. P., Metz, M., Davis, B., & Sabbaghan, S. (In Press). Transcending contemporary obsessions: The development of a model for teacher professional development. In S. Llinares & O. Chapman (Eds.), Tools and Processes in Mathematics Teacher Education, Volume 2 of The International Handbook of Mathematics Teacher Education (2nd Ed). SENSE|Brill Publishers. 

Preciado-Babb, A. P., Metz, M., & Davis, B. (2019). How variance and invariance can inform teachers’ enactment of mathematics lessons? In R. Huang, A. Takahashi & J. P. da Ponte (Eds.), Theory and practice of lesson study in mathematics: An international perspective. Springer, Cham. Online: https://link.springer.com/chapter/10.1007/978-3-030-04031-4_17

Preciado-Babb, A. P., Metz, M., Sabbaghan, S. & Davis, B. (2018). The role of continuous assessment and effective teacher response in engaging all students. In R. Hunter, M. Civil, Herbel-Eisenmann, N. Planas & D. Wagner (Eds.) Mathematical discourse that breaks barriers and creates space for marginalized learners (pp. 101-120).  Rotterdam: Sense Publishers. Online: https://doi.org/10.1163/9789463512541_006

Thom, J., D’Amour, L., Preciado Babb, A. P. (2015). Spatial knowing, doing, and being. In B. Davis (Ed.) Spatial Reasoning in the Early Years: Principles, Assertions, and Speculations. New York: Routledge.

Davis, B. & Preciado-Babb A. P. (2015). Elementary Mathematics Instruction and Student Diversity, In J. J. W. Andrews & J. L. Lupart (Eds.), Diversity Education: Understanding and Addressing Diversity. Nelson Education Limited.

Davis, B. & Preciado-Babb A. P. (2015). Secondary Mathematics Instruction and Student Diversity, In J. J. W. Andrews & J. L. Lupart (Eds.), Diversity Education: Understanding and Addressing Diversity. Nelson Education Limited.

Metz, M., Preciado Babb, A. P., & Marcotte, C. (2014).  A Phenomenological Study of Teachers' Professional Learning and Their Understanding of Mathematics-for-Teaching. In A. P. Preciado Babb, A. Solares Rojas & K. Francis (Eds.), What, How and Why: An international conversation on mathematics teacher learning. Mexico, Mexico: Universidad Pedagógica Nacional. http://dspace.ucalgary.ca/handle/1880/50422

Delfín-Madariaga M. N., & Preciado-Babb, A. P. (2006). Diseño y construcción de objetos a partir de una visión Matemática-Plástica con motivo de Día de Muertos. En el Cuaderno de apoyo a la docencia, 2, pp. 39-46. Mexico City, Mexico: Sistema de Bachillerato del Gobierno del DF.

Articles in peer review journals

Carrasco, E., Carrión, V., Hernández, E., Preciado, P., Arrieta, J., Díaz, L. (2017, August). Complejidad en el acto de conocer: Segunda sesión. Acta Latinoamericana de Matemática Educativa, 30, 139-147.

Preciado-Babb, A. P., Takeuchi, M. A., Alonso-Yáñez, G., Francis, K., Gereluk, D., & Friesen, S. (2016). Pioneering STEM Education for Pre-Service Teachers. International Journal of Engineering Pedagogy, 6 (4), 4-11. http://online-journals.org/index.php/i-jep/article/view/5965 

Preciado-Babb, A. P., Metz, M., & Marcotte, C. (2015). Awareness as an enactivist framework for the mathematical learning of teachers, mentors and institutions. ZDM, 47(2), 257-268.

Preciado-Babb, A. P., Saar, C., Brandon, J., & Friesen, S. (2015). Engaging High School Students in an Engineering Thermodynamics Project. International Journal of Engineering Pedagogy, 5(1), 12-19. http://online-journals.org/index.php/i-jep/article/view/4046

Preciado Babb, A. P., Saar, C. Marcotte, C., Brandon, J. & Friesen, S. (2013).  Using Mobile Technology for Fostering Intellectual Engagement: A High School Project. International Journal of Interactive Mobile Technologies 7(3), p. 46 - 53. http://online-journals.org/index.php/i-jep/article/view/4046

Preciado Babb, A. P. (2012). Incorporating the iPad2 in the mathematics classroom: Extending the mind into the Collective. International Journal of engineering Education 2(2), p. 23 - 29. http://online-journals.org/index.php/i-jep/article/view/2084

Preciado, A. P. & Liljedahl, P. (2012) Three cases of teachers’ collaborative design: Perspectives from those involved. Canadian Journal of Science, Mathematics and Technology Education, 12(2). p. 22 - 35. DOI: 10.1080/14926156.2012.649052

Proceedings (peer reviewed)

Solares-Rojas, A., Preciado-Babb, A. P., Peña, F., Ortiz, A., Sandoval-Rosas, M., Soriano-Velasco, R., Carrión Vázquez, V., & Farrugia-Fuentes, M.  (2018). Latinamerican trends in mathematical modeling. In T. E. Hodges, G. J. Roy & A. M. Tyminski (Eds.), Proceedings of the 40th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 94 - 100). Greenville, SC: University of South Carolina & Clemson University.

Preciado-Babb, A.P., Solares-Rojas, A., Peña, F., Ortiz, A., Sandoval-Rosas, M., Soriano-Velasco, R., Carrión-Vázquez, V. & Farrugia-Fuentes, M. (2018). Exploring perspectives on mathematical modelling: A literature survey. In E. Bergqvist, M. Österholm, C. Granberg, & L. Sumpter (Eds.). Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education Vol. 4, 3-10. Umeå, Sweden: PME.

Francis, K., Alonzo Yáñez, G., Chapman, O., Cherkowski, G., Dodsworth, D., Friesen, S., Gereluk, D., Knowlton Cockett, P., Preciado Babb, A. P., Shanahan, M. C., Takeuchi, M., Thomas, C., Turner, F. (2018). Forming and transforming STEM teacher education: A follow up to Pioneering STEM education. In IEEE (Ed.) 2018 IEEE Global Engineering Education Conference (EDUCON): Proceedings of a meeting held 18 to 20 April 2018, Santa Cruz de Tenerife, Canary Islands, Spain (pp. 692-699). Institute of Electrical and Electronics Engineers.

Alonso-Yáñez, G., Preciado-Babb, A. P., Brown, B., & Friesen, S.  (April, 2018). Studying pedagogical leadership in school system change: Lessons from complex system thinking. In Proceedings of the American Education Research Association Annual Meeting 2018.

Preciado Babb, A. P., Alonso-Yáñez, G., & Solares Rojas, A. (November, 2017). Teachers' collective knowledge: An approach based on concept study and network analysis (poster). In E. Galindo & J. Newton (Eds.) Proceedings of the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, pp. 633-634. Indianapolis, IN: Hoosier Association of Mathematics Teacher Educators.

Martínez Ortega, M., Preciado Babb, A. P., & Mejía Velasco, H. (May, 2017). Making meaning of periodic functions through body movements. In P. Preciado Babb, L. Yeworiew, & S. Sabbaghan (Eds.). Selected Proceedings of the IDEAS Conference: Leading Educational Change, pp. 159-168. Calgary, Canada: Werklund School of Education, University of Calgary. http://hdl.handle.net/1880/52123

Metz, M., Preciado-Babb, A. P., Sabbaghan, S., Davis, B., & Ashebir, A. (May, 2017). Using variation to critique and adapt mathematical tasks. In P. Preciado Babb, L. Yeworiew, & S. Sabbaghan (Eds.). Selected Proceedings of the IDEAS Conference: Leading Educational Change, pp. 169-178. Calgary, Canada: Werklund School of Education, University of Calgary. http://hdl.handle.net/1880/52124 

Metz, M., Preciado-Babb, A. P., Sabbaghan, S., Davis, B., & Ashebir, A. (May, 2017). Attending and responding to what matters: A protocol to enhance mathematics pedagogy. In P. Preciado Babb, L. Yeworiew, & S. Sabbaghan (Eds.). Selected Proceedings of the IDEAS Conference: Leading Educational Change, pp. 179-190. Calgary, Canada: Werklund School of Education, University of Calgary. http://hdl.handle.net/1880/52125

Preciado-Babb, A. P., Sabbaghan, S., & Yeworiew, L. (May, 2017). Foreword: Leading Educational Change. In P. Preciado Babb, L. Yeworiew, & S. Sabbaghan (Eds.). Selected Proceedings of the IDEAS Conference: Leading Educational Change, pp. 1-6. Calgary, Canada: Werklund School of Education, University of Calgary. http://hdl.handle.net/1880/52096

Aljarrah, A., Preciado Babb, A. P., Metz, M., Sabbaghan, S., Pinchbeck, G. G., & Davis, B. (2016). Transforming mathematics classroom settings into spaces of expanding possibilities. In M. Takeuchi, A.P. Preciado Babb, & J. Lock. (Eds.) IDEAS 2016: Designing for Innovation Selected Proceedings (pp. 162-170). Calgary, Canada: Werklund School of Education. http://hdl.handle.net/1880/51201

Metz, M., Preciado Babb, A. P., Sabbaghan, S., Aljarrah, A., Pinchbeck, G., & Davis, B. (2016). Transcending traditional/Reform dichotomies in mathematics education. In M. B. Wood, E. E. Turner, M. Civil & J. A. Eli (Eds.) Proceedings of the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1253-1258). Tucson, AZ: The University of Arizona. http://www.pmena.org/pmenaproceedings/PMENA 38 2016 Proceedings.pdf

Metz, M., Preciado Babb, A. P., Sabbaghan, S., Pinchbeck, G., Aljarrah, A., & Davis, B. (2016). Teachers’ awareness of variation. In M. Takeuchi, A.P. Preciado Babb, & J. Lock. (Eds.) IDEAS 2016: Designing for Innovation Selected Proceedings (pp. 182-191). Calgary, Canada: Werklund School of Education. http://hdl.handle.net/1880/51222

Pavón Pérez, N., Solares Rojas, A., & Preciado Babb, A. P. (2016). El estudio de las funciones lineales como una introducción del álgebra en educación secundaria (poster). In M. B. Wood, E. E. Turner, M. Civil & J. A. Eli (Eds.) Proceedings of the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 210-211). Tucson, AZ: The University of Arizona. http://www.pmena.org/pmenaproceedings/PMENA 38 2016 Proceedings.pdf

Preciado Babb, A. P., Aljarrah, A., Sabbaghan, S., Metz, M., Pinchbeck, G. G., Davis, B. (2016). Teachers’ perceived difficulties for creating mathematical extension at the boundary of students’ discernments (short oral presentation). In M. B. Wood, E. E. Turner, M. Civil & J. A. Eli (Eds.) Proceedings of the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 514-517). Tucson, AZ: The University of Arizona. http://www.pmena.org/pmenaproceedings/PMENA 38 2016 Proceedings.pdf

Preciado Babb, A. P., Metz, M., Sabbaghan, S., Pinchbeck, G. G., Aljarrah, A., & Davis, B. (2016). Addressing the challenge of differentiation in elementary mathematics classrooms. In M. Takeuchi, A.P. Preciado Babb, & J. Lock. (Eds.) IDEAS 2016: Designing for Innovation Selected Proceedings (pp 203-212). Calgary, Canada: Werklund School of Education. http://hdl.handle.net/1880/51226

Sabbaghan, S., Preciado Babb, A. P., Metz, M., Aljarrah, A., Pinchbeck, G. G., & Davis, B. (2016).  Juxtaposing mathematical extensions with cognitively loaded questions in the mathematics classroom. In M. Takeuchi, A.P. Preciado Babb, & J. Lock. (Eds.) IDEAS 2016: Designing for Innovation Selected Proceedings (pp. 213-223). Calgary, Canada: Werklund School of Education. http://hdl.handle.net/1880/51227

Preciado Babb, A. P., Metz, M., Sabbaghan, S., Davis, B. (2016). Fine-Grained, Continuous Assessment for the Diverse Classroom: A Key Factor to Increase Performance in Mathematics. In Proceedings of the American Education Research Association Annual Meeting 2016 (pp. 1-20). http://www.aera.net/Publications/Online-Paper-Repository/AERA-Online-Paper-Repository/Owner/973698

Preciado Babb, A. P., Miwa, T.; Dianne, G.; Alonso Yáñez, G.; Krista, F.; Friesen, S. (2016). Pioneering STEM in undergraduate education: A course for pre-Service teachers. In IEEE (Ed.) 2016 IEEE Global Engineering Education Conference (EDUCON 2016): Proceedings of a meeting held 10 to 13 April 2016, Abu Dhabi, UEA 2016 (pp. 324-331). Institute of Electrical and Electronics Engineers.

Preciado Babb, A. P., Metz, M., Sabbaghan, S., & Davis, B. (2015). Insights on the relationships between mathematics knowledge for teachers and curricular material. In T. G. Bartell, K. N. Bieda, R. T. Putnam, K. Bradfield & H. Dominguez (Eds.), Proceedings of the 37th annual meeting of the North American chapter of the international group for the Psychology of Mathematics Education (pp. 796-803). Lansing, MI: Michigan State University. https://www.msu.edu/~brakoni1/PMENA-2015-PROCEEDINGS-2015-11-04.pdf

Preciado Babb, A. P., MaInnis, V., Metz, M., Sabbaghan, S., & Davis, B. (2015). Epiphanies in mathematics teaching: The personal learning experience of an elementary teacher in the Math Minds Initiative. In A. P. Preciado Babb, Takeuchi, M., & Lock, J (Eds.) Proceedings of the IDEAS 2015: Design Responsive Conference, pp. 187-197. Calgary, Canada: Werklund School of Education. http://dspace.ucalgary.ca/handle/1880/50873

Metz, M., Sabbaghan, S., Preciado Babb, A. P., & Davis, B. (2015). One step back, three forward success through mediated challenge. In A. P. Preciado Babb, Takeuchi, M., & Lock, J (Eds.) Proceedings of the IDEAS 2015: Design Responsive Conference, pp. 178-186. Calgary, Canada: Werklund School of Education. http://dspace.ucalgary.ca/handle/1880/50872

Sabbaghan, S., Preciado Babb, A. P., Metz, M., & Davis, B. (2015). Dynamic responsive pedagogy: Implications of micro-level scaffolding. In A. P. Preciado Babb, Takeuchi, M., & Lock, J (Eds.) Proceedings of the IDEAS 2015: Design Responsive Conference, pp. 198-207. Calgary, Canada: Werklund School of Education.  http://dspace.ucalgary.ca/handle/1880/50874

Preciado Babb, A. P. (2014). Learning about research by research design: Students' perceptions of a master’s online course in education. In P. Preciado Babb (Ed.). Proceedings of the IDEAS 2014:  Rising to Challenge Conference, pp. 189 - 19710.  Calgary, Canada: Werklund School Education, University of Calgary. http://dspace.ucalgary.ca/handle/1880/50604

Brandon, J., Saar, C., Friesen, S., Preciado Babb, P., Alonso, G. "Supporting Pedagogical Leadership in Area III". 2014. In P. Preciado Babb (Ed.). Proceedings of the IDEAS: Rising to Challenge Conference, pp. 15-24. Calgary, Canada: Werklund School of Education, University of Calgary. http://dspace.ucalgary.ca/handle/1880/50590

Preciado Babb, A. P. (2014). Assessing teachers' profound understanding of emergent mathematics in masters course. Proceedings of the 34^th Conference of the International Group for the Psychology of Mathematics Education. Vancouver, Canada: PME.

Preciado Babb, A. P., Saar, C. Marcotte, C., Brandon, J. & Friesen, S. (2014).  Engaging high school students in an engineering thermodynamics project. In IEEE (Ed.) 2014 IEEE Global Engineering Education Conference (EDUCON 2014): Proceedings of a meeting held 3 to 5 April 2014, Istanbul, Turkey 2014, pp. 222 – 228. Institute of Electrical and Electronics Engineers.

Preciado Babb, A. P., Saar, C. Marcotte, C., Brandon, J. & Friesen, S. (2013).  Using Mobile Technology for Fostering Intellectual Engagement: A High School Project. In IEEE (Ed.) 2013 IEEE Global Engineering Education Conference (EDUCON 2013): Proceedings of a meeting held 13-15 March 2013, Berlin, Germany 2013 Vol. 2, pp. 367-374. Institute of Electrical and Electronics Engineers.

Preciado Babb, Metz, M., & Marcotte, C. (2013). A phenomenological study of teachers' professional learning and their understanding of mathematics-for-teaching. In A. P. Preciado Babb, A. Solares Rojas, I. T. Sandoval Cáceres, & C. Butto Zarzar (Eds.) Proceedings of the First Meeting between the National Pedagogic University and the Faculty of Education of the University of Calgary. Calgary, Canada: Faculty of Education of the University of Calgary.  http://dspace.ucalgary.ca/handle/1880/49736

Preciado Babb, A. P. (2012). Incorporating the iPad in the mathematics classroom: Extending the mind into the Collective. In IEEE (Ed.) 2012 IEEE Global Engineering Education Conference (EDUCON 2012): Proceedings of a meeting held 17-20 April 2012, Marrakech, Morocco 2012 Vol. 2, pp. 1226-1230. Institute of Electrical and Electronics Engineers. ISBN:978-1-46731-457-2. 

Edited books and proceedings

Preciado Babb, A. P., Yeworiew, L., & Sabbaghan, S. (Eds.) (2017, May). Selected Proceedings of the IDEAS Conference 2017: Leading Educational Change. Calgary, Canada: Werklund School of Education, University of Calgary. http://hdl.handle.net/1880/52096

Takeuchi, M. A., Preciado Babb, A. P., & Lock, J, (Eds.) (2016, May). IDEAS 2016: Designing for Innovation Selected Proceedings. Calgary, Canada: Werklund School of Education, University of Calgary. http://hdl.handle.net/1880/51231

Preciado Babb, A. P., Takeuchi, M., & Lock, J (Eds.) (2015). Proceedings of the IDEAS 2015: Design Responsive Pedagogy Conference. Calgary, Canada: Werklund School of Education.  ISBN: 978-0-88953-384-4. http://dspace.ucalgary.ca/handle/1880/50608

Solares Rojas, A., Preciado Babb, A. P.,  & Francis, K. (Eds.) (2014). What, How and Why: An international conversation on mathematics teacher learning. Mexico, Mexico: Universidad Pedagógica Nacional. http://dspace.ucalgary.ca/handle/1880/50422

Preciado Babb, A. P. (Ed. ) (2014). Proceedings of the Ideas 2014: Rising to the Challenge Conference. University of Calgary. ISBN: 978-0-88953-376-9. http://hdl.handle.net/1880/50141

Preciado Babb, A. P., Solares Rojas, A., Sandoval Cáceres, I. T., & Butto Zarzar, C. (Eds.) (2013). Proceedings of the First Meeting between the National Pedagogic University and the Faculty of Education of the University of Calgary. Calgary, Canada: Faculty of Education of the University of Calgary. ISBN:            978-0-88953-366-0. http://dspace.ucalgary.ca/handle/1880/49746

• Best Student Presentation. Institute of Electrical and Electronics Engineers, Global Engineering Education Conference 2012. Marrakesh, Morocco.
• Graduate Fellowship (2010). Awarded to graduate students at the Faculty of Education at Simon Fraser University, $6250.
• President’s Stipend (2008) Awarded to graduate students in the Faculty of education at Simon Fraser University, $6250.
• Doctoral Scholarship (2002-2006) Awarded to Mexican doctoral students, Mexican National Council for Science and Technology, $48,645.

Videos

Designing as engineers: An inquiry project in thermodynamics, video, 2013, http://galileo.org/cbe-and-galileo/thermodynamics/

Websites

First meeting between the Pedagogical national University and the Faculty of Educaiton of the University of Calgary. https://people.ucalgary.ca/~apprecia/UPN_UC/en

Interactive educational resources

Funciones Tangente y Secante. Interactive website to explore trigonometric functions.
www.tareasya.com.mx/micrositios/bachillerato_matematicas/tangente_secante.html

Funciones Cotangente y Cosecante. Interactive website to explore trigonometric functions. www.tareasya.com.mx/micrositios/bachillerato_matematicas/cotangente_y_cosecante.html

• Courses