Steven+Williams

Current Research Interests and Projects
Proof and justification Embodied cognition Sociocultural perspectives, especially the work of James Gee How beliefs about mathematics affect decisions in mathematics teaching and curriculum Exploding myths surrounding current "reform" efforts by business and government

**Past Research and Interests**

Learning of calculus Learning of abstract algebra Discourse in mathematics classrooms The effects of teachers' and students' beliefs on mathematics learning

Other Topics I Would be Willing to Supervise
Learning and teaching of advanced mathematics (e.g. linear algebra, differential equations) Any topic that captures my interest.

Current Graduate Students
None. *sniff

Topics of Supervised Theses and Projects
Students' world views Students' beliefs about mathematics classrooms The effect of answer keys on mathematics discourse Examining mathematically anxious adults using theories of Mandler and McLeod Factors influencing preservice teachers' attempts to implement Standards during field work Eliciting teachers' beliefs using repertory grids Conceptual and procedural knowledge of calculus students in traditional and Harvard courses Students' understanding of functions How teachers integrate the internet into their mathematics classrooms Influences of reading research on teaching practice in a new teacher The effects of graphing calculator use on understanding in calculus Students' understanding of variable Dilemmas and discourse encountered in teaching mathematics for elementary school teachers Proof production in geometry Understanding of fraction multiplication and division in preservice elementary school teachers How a master teacher uses questioning in teaching Understanding of limits and continuity at a point in calculus students Use of Just-in-time teaching in mathematics classrooms Language and cultural challenges of ESL students in BYU mathematics courses The effect of the “star” model in developing student understandings of functions The gap between research and practice in mathematics education Common thought processes of students writing proofs Problem solving control mechanisms in 8th grade students