PhD in mathematics education

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  • PhD in mathematics education
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Area

natural Sciences

Sub-Discipline

Math

Pontificia Universidad Catolica de Valparaìso

Pontifical Catholic University of Valparaíso

  • City: Valparaìso,
  • Commune: Valparaìso,
  • Region: Valparaìso Region
goals

• To train high-level PhDs in Mathematics Didactics, capable of developing and supporting research, development and innovation proposals that contribute to the discipline, to the needs of education and to other priority local or global areas.
• To train internationally recognized quality PhDs in Mathematics Education, capable of carrying out original scientific research autonomously and collaboratively, using and developing explicit theoretical or conceptual frameworks.
• To train PhDs in Mathematics Education capable of working in higher education or research institutions, contributing to the development of advanced human capital in the field of education.
• To train PhDs in Mathematics Education capable of formulating innovative proposals that contribute to the needs of mathematics education and to the development of public policies that lead to processes of change and the development of the country and the region.

Applicant Profile

• The program is aimed at graduates or Masters in Mathematics Education or related fields, whose objective is to improve their skills in the field of mathematics education and with an interest in developing research in the same area.

Graduate profile

Upon completion of this program, graduates will be qualified to design and conduct original and rigorous research in Mathematics Education, both independently and collaboratively, using and developing explicit theoretical and conceptual frameworks. They will also be able to contribute to the dissemination of the discipline and the development of advanced human capital in the field of education, working in higher education institutions, educational program management, and research. Furthermore, graduates will be able to formulate innovative proposals that address the needs of mathematics education and contribute to the development of public policies that lead to processes of change and the development of the country and the region.

Lines of investigation

According to their interests and scientific production, the members of the faculty of the Doctorate in Didactics of Mathematics are affiliated to the following lines of research: Teacher training, Modeling and Technology, Specific mathematical thinking.

The Teacher Training research line focuses on knowledge production and the development of training processes for mathematics teachers, based on theoretical and conceptual frameworks of Mathematics Education, with the aim of improving teacher training and classroom practices. This is achieved through the study of topics such as (a) teacher knowledge, (b) teacher practice, and (c) teacher professional development. Research projects are designed from both qualitative perspectives, such as case studies and action research using Lesson Studies, and quantitative perspectives, such as those related to teaching effectiveness in relation to teacher characteristics and their context.

The Modeling and Technology research line studies mathematical modeling from different perspectives - as a cognitive and social process - as a tool for knowledge construction, which promotes mathematical thinking and as a skill to collaboratively address problems from different disciplines (STEAM), as well as studying the impact of the use of technology in various teaching-learning environments and how it can be addressed by the teacher.

The Specific Mathematical Thinking research line focuses on the study of aspects of teaching and learning related to the diverse thinking employed in different areas of elementary and advanced mathematics. Thus, research is conducted on numerical and algebraic thinking, computational thinking, linear algebra, geometric thinking, calculus, probability, and statistics, among others. To this end, various theoretical and conceptual frameworks are used, reflecting both cognitive and socio-historical-cultural approaches.