Yogyakarta State University
The foundation of mathematics searches the status and the basis of mathematics education. Paul Ernest (1994) delivered various questions related to the foundation of mathematics education as follows:
“What is the basis of mathematics education as a field of knowledge? Is mathematics education a discipline, a field of enquiry, an interdisciplinary area, a domain of extra-disciplinary applications, or what? What is its relationship with other disciplines such as philosophy, sociology, psychology, linguistics, etc.? How do we come to know in mathematics education? What is the basis for knowledge claims in research in mathematics education? What research methods and methodologies are employed and what is their philosophical basis and status? How does the mathematics education research community judge knowledge claims? What standards are applied? What is the role and function of the researcher in mathematics education? What is the status of theories in mathematics education? Do we appropriate theories and concepts from other disciplines or ‘grow our own’? How have modern developments in philosophy (post-structuralism, post-modernism, Hermeneutics, semiotics, etc.) impacted on mathematics education? What is the impact of research in mathematics education on other disciplines? Can the philosophy of mathematics education have any impact on the practices of teaching and learning of mathematics, on research in mathematics education, or on other disciplines?”
It may emerge the notions that the foundation of mathematics education serves justification of getting the status and the basis for mathematics education in the case of its ontology, epistemology and axiology. Hence we will have the study of ontological foundation of mathematics education, epistemological foundation of mathematics education and axiological foundation of mathematics education; or the combination between the two or among the three.
Ernest, P., 1994, Mathematics, Education and Philosophy: An International Perspective. The Falmer Press: London.
Ernest, P., 2002, What Is The Philosophy Of Mathematics Education?
Paul Ernest University of Exeter, United Kingdom. Retrieved
Ernest, P., 2007, Mathematics Education Ideologies And Globalization. Retrieved