How do I tell a reading gap from a math gap?
Give the same calculation twice, once bare and once wrapped. 24 ÷ 4, then 'twenty-four stickers shared between four children'. A child who gets the first and not the second has a comprehension gap. A child who misses both has an arithmetic gap. A child who misses only the bare one is unusual and generally just bored.
This matters because the two need opposite responses. The comprehension gap needs less calculating practice and more work on turning a sentence into a question; the arithmetic gap needs the retrieval practice that the comprehension gap does not.
What actually goes wrong inside a word problem?
- Keyword hunting. Children are often taught that 'altogether' means add and 'left' means subtract. It works until a problem is written by someone who did not get the memo, and then it fails silently.
- Holding two steps at once. A two-step problem asks a child to remember an intermediate result while doing something else with it. That is a working-memory load, and it is exactly the load finger counting is already consuming.
- Unfamiliar situation, familiar math. A child who has never seen a bus timetable cannot model a bus timetable question, however good their subtraction is.
- Not knowing what the answer should look like. 'How many buses are needed' has a whole-number answer. Children who never form an expectation cannot notice that 4.3 buses is wrong.
What is the one question that helps most?
Before any calculating: “What is this question actually asking you to find?” Make them answer in their own words, with the problem face down if they can manage it. Almost every failure mode above is caught by that one habit, and it is the only intervention here a parent can do in ten seconds at a kitchen table.
A second one, afterwards: “Does that answer make sense?” Estimation is a check children are rarely taught to run, and it catches the misplaced decimal and the impossible remainder without any adult marking anything.