Articles

Link

Graphing Calculator Use in Algebra Teaching (with Brenda L. Dewey and Ted J. Singletary), School Science and Mathematics (2009)

This study examines graphing calculator technology availability, characteristics of teachers who use it, teacher attitudes,...

 

Explicating a Mechanism for Conceptual Learning: Elaborating the Construct of Reflective Abstraction (with Martin A. Simon, Ron Tzur, and Karen Heinz), Journal for Research in Mathematics Education (2004)

We articulate and explicate a mechanism for mathematics conceptual learning that can serve as a...

 

Link

An Account of a Teacher's Perspective on Learning and Teaching Mathematics: Implications for Teacher Development (with Ron Tzur, Martin A. Simon, and Karen Heinz), Journal of Mathematics Teacher Education (2001)

This report presents an account of one teacher's mathematics teaching and a perspective that underlies...

 

Linking Task Characteristics to the Development of Symbol Sense, Mathematics Teacher (2001)

Kinzel attempts to characterize tasks with notational potential and discusses implications for the secondary classroom....

 

Understanding Algebraic Notation from the Students' Perspective, The Mathematics Teacher (1999)

Kinzel looks at algebraic notation from the students' perspective in an effort to prevent future...

 

Contributions to Books

Representational Awareness: Using Algebraic Notation to Illuminate Mathematical Situations, Pennsylvania Council of Teachers of Mathematics Yearbook (2002)
 

Presentations

Thinking About Definitions: What Students Say and What Students Do (with Laurie O. Cavey), National Council of Teachers of Mathematics Annual Conference (2011)

Do your students struggle with mathematical definitions? The speakers will share their analysis of interview...

 

PDF

How Do Mathematicians Make Sense of Definitions? (with Laurie O. Cavey, Thomas A. Kinzel, Kathleen L. Rohrig, and Sharon B. Walen), Research in Undergraduate Mathematics Education (2011)

It seems clear that students’ activity while working with definitions differs from that of mathematicians....

 

Beyond Cross Multiplication: Making Sense of Proportional Situations, Idaho Council of Teachers of Mathematics (2009)