Graduates demonstrate understanding of research methods in mathematics education by showing they can a) locate an interesting and important problem; b) conduct a literature review to situate the problem; c) develop a conceptual framework; d) establish focused research questions; e) choose and implement appropriate methods for collecting and analyzing data; f) address issues of research quality such as validity, reliability, and significance; and g) effectively communicate their work both orally and in writing.

Graduates understand central concepts, tools of inquiry, and structures of the discipline of mathematics as well as core representations, canonical examples, and alternative algorithms germane to teaching school mathematics.

Graduates are able to analyze topics from school mathematics in the context of the literature on students' mathematical thinking, meaningfully apply research on teaching and learning mathematics in their teaching, and use scholarly inquiry as a lens to reflect on that teaching.

Graduates have developed a level of professionalism that enables and compels them to continually seek opportunities to improve their own practice, keep abreast of advances and developments in the field both locally and nationally, and provide leadership in professional, school, and community organizations.

Graduates strive to follow the example of Jesus Christ in both their personal and professional lives, seek consistency between their understanding of the restored gospel of Jesus Christ and principles of mathematics teaching and learning, and use this enriched understanding of teaching and learning to nurture the divine potential of all in their spheres of influence.