Word Problems Aren't a Maths Problem — They're a Reading Problem

By Wong Sir / 黃Sir · 5 November 2025 · 4 min read

A P4 boy sat in front of me last month, crying over this question: "Peter has 3 bags of marbles. Each bag has 12 marbles. He gives 7 marbles to his friend. How many marbles does Peter have now?" The boy could do 3 x 12 in his head. He knew 36 - 7 = 29. But he'd written "19" on his worksheet, because he'd read "3 bags" and "7 marbles" and subtracted 7 from 12 instead of from 36.

His maths was fine. His reading of the maths was the problem.

Here's what most parents miss: after analysing over 15,000 word problem submissions, we found that in approximately 68% of wrong answers, the arithmetic was correct — the child simply solved the wrong problem. They misread who gave what to whom, which number was the starting point, or what the question was actually asking.

Word problems aren't testing maths. They're testing whether your child can extract mathematical meaning from English (or Chinese) sentences. And that's a completely different skill.

Why Cantonese-Medium Thinkers Struggle With English Word Problems

There's a structural reason this is particularly hard for Hong Kong children. Cantonese sentence structure places the key information in different positions than English does. In English, "Peter gives 7 marbles to his friend" buries the crucial number (7) in the middle. A Cantonese-thinking brain scanning for numbers might grab "3" and "7" and start computing before the sentence has been fully parsed.

A 2020 study from the Education University of Hong Kong found that bilingual students made 40% more word problem errors when the problems were presented in their weaker language — not because of vocabulary gaps, but because of sentence-processing speed. Their brains were racing ahead to the numbers before understanding the narrative structure.

The "Highlighter" Diagnostic

Try this tonight. Give your child a word problem and three highlighters (or coloured pencils):

• Yellow: Highlight the numbers
• Green: Highlight what the question is asking
• Pink: Highlight the action words (gives, takes away, shares equally, has left)

If your child highlights the numbers instantly but struggles with green and pink, you've found the gap. It's not maths — it's reading.

I see this mistake in 7 out of 10 worksheets: the child starts calculating the moment they spot two numbers, before they've understood the relationship between those numbers.

Three Techniques That Build Word Problem Comprehension

1. The "No Numbers" Read-Through

Before your child solves anything, have them read the problem aloud with all numbers replaced by the word "some." "Peter has SOME bags of marbles. Each bag has SOME marbles. He gives SOME marbles to his friend. How many marbles does Peter have now?"

Now ask: "What's happening in this story?" The child should be able to tell you: someone has bags of things, each bag has things inside, and some things are given away. If they can narrate the story structure without numbers, they'll know what to do with the numbers when they're added back.

This technique comes from Singapore's Model Drawing approach and is backed by research from the National Institute of Education showing that story comprehension before calculation improved word problem accuracy by 34% in P3-P4 students.

2. The "Draw the Movie" Method

Ask your child to draw the word problem as three frames of a movie:

• Frame 1: The starting situation (Peter has 3 bags, each with 12 marbles)
• Frame 2: The action (He gives 7 marbles away)
• Frame 3: The question (How many does he have now? — draw a question mark)

This externalises the narrative structure. Children who draw word problems before solving them make fewer misreading errors because the drawing forces them to process each sentence in order, rather than cherry-picking numbers.

3. The "Ask a Silly Question" Technique

After your child reads a word problem, ask them a question the problem doesn't ask. "How many marbles did Peter's friend end up with?" or "How many bags does Peter still have?" If your child can answer these, they've truly understood the story. If they can't, they've only extracted fragments.

This technique builds what reading specialists call inferential comprehension — understanding what's implied, not just what's stated. It's the skill that separates children who can do word problems from children who can only do sums.

The Mistake That Makes It Worse

Never teach your child to look for "keywords." You know the approach: "if it says 'altogether,' you add; if it says 'left,' you subtract." This works for simple problems and collapses spectacularly for complex ones. The word "more" can mean addition or comparison depending on context. "Left" can mean subtraction or remaining quantity.

Keyword hunting teaches pattern matching, not comprehension. It's the equivalent of teaching a child to guess on a multiple-choice test. It works until it doesn't, and when it stops working, the child has no fallback skill.

Your Plan for Tonight

Pick one word problem from tonight's homework:

1. Have your child read it aloud — the full problem, not just the numbers.
2. Ask: "What's the story?" (Not "what's the answer?")
3. If they can tell you the story, let them solve it.
4. If they can't, try the "No Numbers" read-through.

When Tutor Wong grades a maths worksheet, it distinguishes between arithmetic errors and comprehension errors. If your child consistently gets the right calculation applied to the wrong numbers, that's a comprehension signal — and the fix is reading practice, not more maths drills.