10/1:Algebra: Language of Process and Generalizations
"The Volume of a Pyramid:
Low-Tech and High-Tech Approaches" by Masha Albrecht
"Geometric Meaning in the Geometric Mean Means More Meaningful Mathematics" by Matt Fluster
10/8: Variables and Algebraic Symbols
Text: Chapter 6
10/15: Variables and Algebraic Symbols
"The Many Uses of
Algebraic Variables" by R. Philipp
"Teaching Algebraic
Expressions in a Meaningful Way" by L. Chalouh & N. Herscovics
"From Words to Algebra:
Mending Misconceptions" by J. Lochhead & J. Mestre
10/22: Technology in the Teaching of Algebra
Text: Chapter 7
10/29: Expanding the Notion of Function
Text: Chapter 5
"A Function is a Mail Carrier" by M. Sand
11/3: Expanding the Notion of Function
"Making Sense of Slope" by A. Crawford & W. Scott
"Understanding Connections between Equations and Graphs" by E. Knuth
"Blake's Slope-Intercept Surprise" by J. Misener
11/12: Linking Multiple Representations
"Why Representations?" by J. Schultz
& M. Waters
"Multiple Representations and Connections Using Technology"
by C. Embse and V. Yoder
"Kinematics and Graphs: Students' Difficulties and CBLs" by P. Hale
11/17: Role of Proof
"Types of Students' Justifications" by L. Sowder & G.
Harel
"Ideas for Developing Students' Reasoning: A Hungarian
Perspective" by A. Szombathelyi & T. Szarvas
"A Unified Framework for Proof and Disproof" by S. Epp
"Prove It!" by Amy Prince
"I Would Consider the Following to be a Proof …" by W. Dodge, K. Goto & P. Mallinson
11/24: Expanding
Students' Understanding of Algebraic Equivalence or Identity
"Enhancing Discourse on Equations" by M.Lee
"Equivalent Representations in the Learning of Algebra" by F. van Dyke and T. Craine