Mathematics Education. Information technologies applied to education: learning mathematics and science through computer or video games, e-learning, educational data mining. Experimental studies and mathematical modeling of learning and cognition.

Thesis directed:
1) PhD. Thesis Advisor for: David Gómez Rojas, "Estudios experimentales y de modelación en Aprendizaje y Cognición Matemática", Thesis for the PhD program "Doctorado en Ciencias de la Ingeniería, mención Modelación Matemática" (PhD in mathematics modeling), Universidad de Chile, 2010.
2) Mathematics Engineering Thesis Advisor for: Gonzalo Mena Carrasco, "Aportes a la Teoría de Ecuaciones Diferenciales Estocásticas Reflejadas y al modelamiento de procesos neurobiológicos subyacentes a fenómenos cognitivos", Universidad de Chile, 2011
3) Mathematics Engineering Thesis Advisor for: Abelino Jiménez Gajardo, "Modelos matemáticos para la cognición numérica", Universidad de Chile, 2012
4) PhD. Thesis Advisor for: Jairo Navarrete Ulloa, "Algebraic models of conceptual metaphor: contributions to the understanding of mathematics learning processes", Thesis for the PhD program "Doctorado en Ciencias de la Ingeniería, mención Modelación Matemática" (PhD in mathematics modeling), Universidad de Chile, 2013
5) Mathematics Engineering Thesis Advisor for: Roberto Castillo N., Estudio de Modelo de Tópicos Aplicado a Transcripciones de Clases de Matemáticas, Memoria de Título de Ingeniería Civil Matemática, Universidad de Chile, 2016.
6) Psychology Thesis Advisor for: Orielle Cisternas y Mario Reyes, Creencias acerca del conocimiento y su relación con desempeños específicos: El caso de las fracciones en matemáticas, Memoria para el título de Psicólogo, Universidad de Chile, 2019.
7) Mathematics Engineering and Master in Applied Mathematics Thesis Advisor for: Pedro Ignacio Vergara Iglesias, Desarrollo de un algoritmo de asignación automática de ejercicios como herramienta de aprendizaje, basada en el desempeño de los estudiantes, Tesis de Magíster en Ciencias de la Ingenieria, mención Matemáticas Aplicadas y Memoria de Título de Ingeniería Civil Matemática, Universidad de Chile, 2021.

Courses Taught:
Every year a 1 month summer course for talented high school students on topics around real analysis. Universidad de Chile.
Every year at least two undergraduate mathematics courses, for the School of Engineering, Universidad de Chile.
In 2010 and 2012 the course "Experimentación y Modelación para el Estudio de la Cognición y Educación en Matemáticas" (Modeling and experiments for studying mathematics cognition and education), for students of Mathematics Engineering around their fifth year of studies. Universidad de Chile.
During the fall 2013: the PhD in mathematics modeling course "Advanced Mathematics Seminar I", which focused on modeling spacing effect between study sessions and learning achieved.

Member of the writing team for the Universidad de Chile-Ministry of Education (Mineduc) project that produced the standards for the pre-service teachers of mathematics curriculum (2010-2011).
Member of the FONDEF project D09I1023: Textbooks for the mathematics curriculum of elementary preservice teachers (2010-2013).
Deputy director and researcher of the ongoing FONDEF TIC-EDU project TE10I001: National tournaments of massive on-line science games (2011-2012).
Director and researcher of the ongoing FONDEF project D11I1009: Automatic feedback on teaching practices for mathematics teachers (2012-2015).
Support for the ministry of education and related agencies in several tasks related with mathematics curriculum and assessment. For instance, participation in a standard setting panel for the SIMCE assessment (for the Mineduc, 2013), or evaluating a proposal of Standards for Learning Mathematics (for the "Consejo Superior de Educación", 2012)