## KAT Papers, Presentations, and Items

**Knowledge of Algebra for Teaching: A Framework of knowledge and practices. **

**Mathematical Knowledge
for Teaching Algebra: Validating an Assessment of Teacher Knowledge.**
Presentation at the AMTE annual meeting, January 2007.

**Knowledge of Algebra
for Teaching: Framework, Item Development, and Pilot Results. **Presentation at NCTM Research Presession,
April 25, 2006.

**Assessing
Pre-Service Secondary School Teachers’ Mathematical Knowledge for Teaching
Algebra **Presentation at MAA-AMS Join Meeting, January 12, 2006.

**A Conceptual Framework for
Knowledge for Teaching School Algebra **(paper submitted to *Educational Studies in Mathematics* in November 2005. Please do not
quote or cite without author permission)** **Figure 1 Knowledge for Teaching Algebra Framework

KAT Item Development Matrix. This short paper describes a tool used in item development. The three dimensional matrix specifies two content domains within algebra, three knowledge domains, and four aspects of mathematical knowledge.

ICMI Study Presentation. International Commission on Mathematical Instruction, Study 15: The Professional Education and Development of Teachers of Mathematics. The KAT project conducted an interactive work session at the study conference in May 2005. The paper linked here is the handout we used during the work session.

**Presentations at AERA 2005
Symposium. **This symposium at the AERA annual meeting in

**List of
references on Mathematics Knowledge for Teaching (**by Xuhui Li)