1. Teacher Models → Student Mimics

The standard sequence:

“I do → We do → You do”

Sounds logical. Feels supportive.

But it shifts the cognitive load:

• The teacher does the thinking first

• Students copy the pattern

• Understanding becomes optional

Students learn:

“Wait for the steps. Then follow them.”

2. Correctness Becomes the Goal

When the system rewards answers, students optimize for answers.

Not reasoning. Not strategy. Not sense-making.

Just:

“What gets me the checkmark?”

That’s not laziness. That’s efficiency.

3. Work Becomes Performance

Students quickly learn how to:

• Show enough steps to look legitimate

• Use familiar patterns

• Avoid risk

This is what research describes as “studenting” behaviors:

• Mimicking

• Stalling

• Faking

• Withdrawing

They are not failures of character.

They are successful adaptations to the system.

The illusion holds… until it doesn’t.

The moment a student encounters:

• A novel problem

• A shifted context

• A missing scaffold

The strategy fails.

Because what they built wasn’t understanding.

It was:

fragile procedural knowledge

And fragile knowledge doesn’t transfer.

Here’s the part that changes everything:

The Shift

The issue isn’t that students are getting things wrong.

It’s that:

they can get things right without ever thinking

That should fundamentally change how we define learning.

What Real Learning Requires

Real mathematical learning requires:

• Sense-making (Does this make sense?)

• Strategy selection (Why this approach?)

• Adaptation (What changes if the problem changes?)

• Explanation (Can I justify this?)

These are not side skills.

They are the work.

Bottom Line

Correct answers are not evidence of understanding.
Thinking is.

And if your system doesn’t require thinking, most students will find a way around it.

Because they’re not broken.

They’re adapting.