Some students can read a word problem, understand every part of the story, and even tell you what’s happening in their own words but when it’s time to find the math, they’re completely stuck. They aren’t confused by the words; they’re confused by how those words connect to operations.
This is what I call a connection problem.
Students who struggle here understand what’s happening in the story, but they can’t yet connect the story to the operation. So how do we help them make that connection?
Let’s talk about three strategies that can support your students
1. Bring the Math to Life with Models
Word problems live at the abstract level. There is no visual support to help a student understand the story. Then, when we go to write an equation we are staying at that abstract level. When we ask students to go straight from reading a story to writing an equation, we’re asking them to reason entirely in the abstract world with no support in place. This can be extremely difficult for many students.
The solution? Models, models, models.
When we add concrete manipulatives or visual representations, we give students something they can see and touch. These models make the problem visible and help students reason about what’s happening. Yes, you can “Think CRA” when it comes to word problems too!
With a model in front of them, students can start to answer questions like:
- Are numbers being put together or taken apart?
- Are we comparing two quantities?
- Are we looking for a missing piece?
When students can see the situation they lower their cognitive load in terms of holding onto the story in their mind and they can shift away from the story to seeing what that model might mean in terms of operations.
2. Revisit What the Operations Mean
Here’s another common issue: students who know how to perform an operation but don’t really understand what it means.
If a student defines addition as “start at the big number and count on,” they know a procedure for solving addition problems but not the idea behind it. So when they come across a situation where numbers are being put together, they might not even think to use addition, because they don’t recognize addition as “the operation that puts numbers together.”
When I worked with my first graders, we started almost every lesson by writing a plus sign on the board and asking, “What is this sign? What does it do to numbers?” We didn’t move on until they clapped their hands together and announced that addition is an operation that puts parts together.
That simple conversation repeated over and over (and over and over) helps students internalize the meaning of the operations. And it’s not just for primary grades! Students at every level benefit from revisiting what each operation represents.
3. Match Models and Stories
Here’s a quick activity that helps students connect the story to the math:
- Write four or five story problems using the same numbers.
- Draw a matching tape diagram or bar model for each story.
- Mix up the stories and diagrams.
- Ask students to match each story to the correct model.
If students can match the stories to the models but still can’t decide which operation to use, that’s your signal that they need more experience with models and operation meaning before jumping into computation.
4. Check the Complexity
Sometimes students are ready and able to make the connection between comprehension and computation but the numbers or problem types are getting in the way.
If your students are struggling with multi-step problems, take a step back. Can they confidently solve all of the single-step problem types first? If not, that’s your starting point. (You can find a map of the problem types HERE. Head to page 88 and 89 of the document.)
It’s also worth considering the size of the numbers you’re using. If students can’t reason through a problem with larger numbers, scale back to two-digit numbers and see if that helps. Often, smaller numbers make it easier to focus on the structure of the problem rather than the computation itself.
When students find success with simpler numbers, it gives you a clear picture of what they do understand and what needs more support.
Bringing It All Together
When students can connect the story to the math, they stop guessing and start reasoning.
By grounding word problems in models, reinforcing the meaning of the operations, and adjusting the complexity as needed, we help students see what’s really happening so that problem solving starts to click.
Next week, we’ll wrap up this series by tackling the third big challenge: cognitive load and how to help students manage the mental work of word problems without feeling overwhelmed.
