Build It, Draw It, Write It: A Simple Routine That Makes Math Stick
Some students hear a math problem and immediately picture it in their mind.
Others need to see it.
Some need to touch it.
And many, especially those still building confidence, need a pathway that makes the thinking visible and doable.
That’s where Build It, Draw It, Write It (often called BiDiWi) comes in.
It’s one of the simplest, most powerful structures you can add to your math block; especially if you teach early learners, intervention groups, or students who struggle with abstract reasoning.
Why BiDiWi Works
BiDiWi gives students a clear progression from hands-on understanding → visual representation → symbolic expression.
If this sounds familiar, it’s because it aligns beautifully with CRA (Concrete → Representational → Abstract).
But BiDiWi is a classroom-friendly organizer that teachers and students can use daily.
It helps students:
- See the math
- Touch the math
- Draw the math
- Record the math
In other words, students don’t jump into abstraction, they build toward it. For many learners, that’s the difference between confusion and clarity.
What BiDiWi Looks Like in Action
Let’s say your students are working on addition within 10.
Build It
Students use physical tools to model the problem.
“Show me 4. Now show me 3 more. Count them together.”
This might mean counters, cubes, touchpoints, fingers; something real and consistent they can manipulate.
Draw It
Students move from physical objects to representational drawing.
“Draw what you built; four dots, then three dots. Count to find the total.”
This step cements understanding by connecting hands-on to visual.
Write It
Students record the equation or number sentence.
“Let’s write the equation: 4 + 3 = 7.”
The symbols now make sense because they earn meaning, rather than replace it too soon.
Why It Helps Struggling Learners
For students with unfinished learning or math anxiety, symbolic math can feel like a wall.
BiDiWi builds a bridge instead it:
- Reduces memory demands
- Prevents guessing
- Encourages verbal reasoning
- Creates a predictable success routine
- Reinforces number sense in multiple ways
And most importantly?
It protects understanding before speed.
Tips for Making BiDiWi Habitual
Here’s how to embed it into daily instruction:
- Use it during warm-ups
- Model it first, every time (I do → We do → You do)
- Narrate your thinking
- Keep tools consistent
- Praise the process, not just the answer
A powerful routine becomes even more powerful when it’s predictable.
Try This Script with Students
“First we build it so our brains can see and touch the math.
Then we draw it so our brains can picture the math.
Then we write it so our brains can show the math.”
Students quickly internalize the idea that math lives in hands → brain → paper — not the other way around.
Whether you’re a brand-new teacher, a veteran building intervention skills, or someone working tirelessly to help students rebuild confidence, BiDiWi gives you a structure you can trust.
It slows math down just enough for sense-making.
It honors how students learn.
And it gives students three chances to say,
“I can do this.”
Because when students see themselves succeed not once, but at each stage their belief grows. And belief is the beginning of mastery.