Graduate Writings

Thirty Years of Problem Solving in Mathematics Education: Policy and Promise

(Comprehensive
Exam -

Research in Education: Rigor and Relevance

(Comprehensive Exam -

Algebra Students’ Simplification of Rational Expression

(SME 927 -

Research and Practice: Problem Solving in Secondary Classrooms

(SME 927 -

Research and Practice: Proof in the Geometry Classroom

(SME 842 -

Explorations in Hyperbolic Geometry

(SME 842 -

Explorations in Spherical Geometry

(SME 842 -

Reflections on Two Pieces by Dewey

(CEP 911 -

Reflections on Edward L. Thorndike

(CEP 911 -

Reflections on Some Work of Jean Piaget

(CEP 911 -

Discourse Analysis in the Classroom: Summary of a Mini-

(SME 954 -

Down and to the Left: Student Movement Toward Negative Numbers

(SME 840 -

Grounding Negative Numbers: A Third Grade Student Plays Two Mathematical Games

(SME
840 -

Kupilikula by Harry G. West: A Brief Review

(TE 931 -

A Mathematician Reads the Newspaper by John A. Paulos

(EDUC 782 -

Essay on Mathematical Understanding

(EDUC 782 -

David Hume: His Method and Theory of Knowledge

(TE 924 -

Good Teaching: Can you know it when you see it?

In this essay, Sam discusses why he
believes that good teaching cannot be recognized by merely seeing someone teach.
In making this argument, some of Sam's own values about teaching come to light.

Characterizing Disciplines from Within and Without

Do popular perceptions of academic
disciplines align with expert's perceptions of their own disciplines? In this outreach
project, Sam responds to this question with respect to mathematics but also discusses
it with friends from other disciplines.

On Authority: The bible, mathematics textbooks, and reform

Mathematics is often seen
as an authoritative discipline with mathematics textbooks being the ultimate authority
in mathematics classrooms. Sam explores this issue by drawing analogies between mathematics
textbooks and the bible -