On Curriculum and Pedagogy
- About Teaching
- The Art of Teaching
- Ceding the Survey: Depth vs. Breadth in Secondary Curriculum (with Jonathan Howland)
- Group Work
- Heterogeneous Classes
- Nothing Works: article | outline
- Professional Development from the Inside: Teacher Collaboration (with Jonathan Howland)
- Serving our Strongest Students
- Teaching in the Long Period
- Algebra for All?
- Algebra Manipulatives
- For a Tool-Rich Pedagogy
- The Lab Gear | Demo
- Math: Visual and Interactive!
- A New Algebra
- A Proposal for Early Mathematics Education
- The Pythagorean Geoboard
- Reply to Critic
- Seeking Depth in Algebra 2
- Teaching Proof
- The Turtle and the Mouse
- What are Themes, Tools, and Concepts?
Curricular Materials
- Abstract Algebra
- Angles
- Building Block Numbers (the "McNuggets Problem")
- Completing the Square
- Complex numbers, matrices: worksheets | TI-89 files
- Conic Sections
- Constant Sums, Constant Products
- Dream Team (Fathom)
- Equations
- Exponential Functions: Rolling Dice
- Factoring a Trinomial
- Function Diagrams
- Galileo's Dialogue on Infinity
- Geometric Construction | Teachers' Guide
- Geometric transformations:
- Cabri files
- Complex numbers, matrices: worksheets | TI-89 files
- Geometric Puzzles in the Classroom
- The Geometry of Linear Graphs
- Geometry of the Conic Sections: 2D | 3D
- Geometry of the Parabola: 2D | 3D
-
Infinity: Presentation | Teacher's Guide
- Galileo's Dialogue
- Lewis Carroll's "Two-Part Invention"
- Interpreting Graphs
- Iterating Functions (includes several Fathom files)
- Linear
- Notes | Worksheets (The Mathematics Teacher)
- Notes | Worksheets (Algebra: Themes, Tools, Concepts)
- Explicit Formula
- Non-Linear
- Linear
- Knot Theory
- The Lab Gear | Factoring | Geometry-Graphing Connection
- Lewis Carroll's "Two-Part Invention"
- Linear Functions
-
Logarithms: Super-Scientific Notation
Make Your Own Slide Rule - Parabolas and Quadratics
- Maximizing Area | Condensed version
- Factored Form of Quadratic Functions | Applet
- From Factored to Standard Form
- Geometry-Graphing Connection
- Moving Parabolas Around
- Quadratic Forms
- Make these parabolas: TI-83/84, TI-89
- Quadratic Parameters
- Completing the Square
- A Graphical Approach to the Quadratic Formula
- A Different Approach to the Quadratic Formula
- Geometry of the Parabola: 2D | 3D
- Parallelogram area
- Probability (an introduction)
- Proof
- Pythagorean theorem
- Rubik's Cube (notes)
- Sequences and Series
- Arithmetic: Notes | Worksheets
- Geometric: Notes | Worksheets
- Slide Rule (Make Your Own)
-
Space
- Presentations: Longer | Shorter | Grades 7-10
- Abstract Algebra
- Geometric transformations:
- Cabri files
- Complex numbers, matrices: worksheets | TI-89 files
- Square Roots
- Sum of Cubes
- Super-Scientific Notation
-
Teachers' Mathematics
- Abstract Algebra
- A Different Approach to the Quadratic Formula
- Function Diagrams
- Geometry of Linear Graphs
- Geometry of the Parabola: 2D | 3D
- Geometry of the Conic Sections: 2D | 3D
- Iterating f(x)=2|x|-2
- Mapping Triangles to Points
- Pattern Block Trains
- Some of what I did at the Park City Mathematics Institute in 2006
- Staircases
- Trigonometry: The Ten-Centimeter Circle
- Using the Graphing Calculator
- Make These Designs: Notes | Worksheet: TI-83/84, TI-89
- Make these parabolas: TI-83/84, TI-89
- Find These Polynomials
- STAIR | Staircases: TI-83/84 | TI-89
- Which Is Greater? TI-83/84, TI-89 | Left or Right?
- Parabolas and Quadratics
- Rolling Dice: TI-83/84, Fathom
- Super-Scientific Notation
- Graphing Square Roots: TI-83/84, TI-89
- Complex numbers, matrices: worksheets | TI-89 files
- Make These Designs: Notes | Worksheet: TI-83/84, TI-89
- Volume of a Pyramid (Cabri 3D)