Categories
Linear, Quadratic, and Exponential Models* slope

Slope of Parallel and Perpendicular Lines

Why is this mistake attractive to the student? How could you make it unattractive?

Thanks to Tina Cardone for the submission.

Categories
Expressions High School: Functions

Evaluating Expressions

What’s interesting about these mistakes?

Categories
Graphing High School: Modeling linear functions Linear, Quadratic, and Exponential Models*

Linear Modeling and Graphing

What’s the mistake? How would you help?

Thanks to John Weisenfeld for the submission.

Categories
Algebra 1 linear functions Linear, Quadratic, and Exponential Models* slope

Slippery Slope

The submitter of this mistake reports that the student is a “high flyer.”

  1. What is this student’s confusion?
  2. Why made this mistake so tempting? After all, if a student just doesn’t understand “slope” there are a million things that they could do wrong. Why this one?

Thanks to Jeff de Varona for the submission. Go check out his blog and follow him on twitter.

Categories
Building Functions Functions High School: Functions

Inverse Functions

What does the student know, and what does he misunderstand? How would you help?

Today’s submission comes via Christopher Danielson, who blogs at Overthinking my teaching.

Categories
Building Functions High School: Functions

Following a recursively defined rule

What does the student understand about recursive functions? What’s she confused by? How would you help?

Categories
Building Functions exponents High School: Functions

Matching a recursive function to a table

What does the student know? What’s the mistake? How would you help?

Categories
Functions Interpreting Functions

Function Notation

How do you teach function notation? How would you help your students avoid this sort of mistake?

Categories
Graphing Linear, Quadratic, and Exponential Models* slope

Slopedy Slope Slope

Say something intelligent about this bit of student work.

Categories
Graphing Linear, Quadratic, and Exponential Models* Quadratics

Axis of symmetry and vertex

What does this mistake reveal about the kid’s thinking? How would you take the kid’s thinking to the next level?