Categories
Feedback Negative Numbers The Number System

Negative Numbers

What’s something that interests you about this student’s work?

Another quality submission fromĀ John Weisenfeld.

Categories
Expressions Seeing Structure in Expressions

Words –> Expressions

How would you help this student become sensitive to this language?

Another quality submission from John Weisenfeld.

Categories
exponents Expressions and Equations Feedback

What do powers mean, again?

Would the student have made this mistake if she were just given a^2 to evaluate? If yes, then what’s the misconception. If no, then what’s going on?

Oh, and go check out Chris Robinson’s stuff, and go follow him on twitter.

Categories
Arithmetic Distributive Property Expressions & Equations

Distributive Property

What does the kid think the distributive property is?

It’s easy to say: “Well, I’d avoid this mistake in my class by teaching the distributive property correctly.” Well, what’s the wrong way to teach this thing, then? What’s the smartest possible way to teach this, and still end up with your kids making that mistake?

After you’re done writing an awesome comment to this post, go check out Josh Weisenfeld’s blog. He spotted and submitted this gem of a mistake.

Categories
Reasoning with Equations and Inequalities Solving Linear Equations

Solving for “y”

How did this happen? How might you help?

Categories
Graphing Linear, Quadratic, and Exponential Models* slope

Slopedy Slope Slope

Say something intelligent about this bit of student work.

Categories
Arithmetic Negative Numbers The Real Number System

Order of Operations, Negative Numbers

Say something smart about this in the comments. When you’re done, go check out the blog from whence this mistake came.

Categories
Arithmetic with Polynomials and Rational Expressions Distributive Property exponents

Classic Mistakes with Exponents

Here are two classic mistakes:

Whenever I see a mistake that recurs at all different levels, and with all different students, I wonder: what makes this mistake so attractive? What’s the misconception? And what can we do about it?

Say something smart in the comments, and then go check out this post from Fawn Nguyen.

Categories
Reasoning with Equations and Inequalities Solving Linear Inequalities

Inequalities

What’s the mistake? Where’d it come from? How would you help?

When you’re done thinking about that, go check out where the mistake came from.

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?