A math problem went wrong: use one worked example to find the next step

Find one useful question, not a verdict on the page

Set aside the red mark for a moment and ask what the problem was asking the child to work out. A wrong answer might come from misreading the question, choosing an operation that does not fit, losing track of a step, or making a small calculation error. Those are different problems, and “try harder” does not tell a child which one to fix.

Keep the conversation specific and neutral: “Show me the line where you felt sure about what to do.” If the child cannot explain it now, that is information too. You do not need to diagnose a gap or decide the child is careless. The goal is simply to locate one decision that can be examined together.

Put a worked example beside the problem

Choose a solved example that uses the same kind of reasoning and is close enough to compare. The What Works Clearinghouse elementary mathematics guide recommends explicit instruction, including worked-out examples for word problems. It is an evidence-based practice guide for teachers and intervention settings; it does not promise that a parent-led review will fix every difficulty. ^[1]

For example, suppose the assignment asks: “There are 28 apples. Four children share them equally. How many does each child get?” Put beside it a solved example such as 20 counters shared among five children. Ask the child to point out what is the same: both describe equal groups, and the question asks for the number in each group. Then ask what differs: the totals and group counts. Counters, a quick drawing, or a bar model can make the relationship visible before the child writes 28 ÷ 4.

Say the decisions aloud, then hand the pencil back

Work through the example by naming choices, not just writing operations: “I need four equal groups because four children share the apples. I can split 28 into 20 and 8. Twenty shared among four is five; eight shared among four is two; five plus two is seven.” Ask the child to explain a step in their own words or show it with objects. A drawing and an equation are both useful if they represent the same quantities.

Now return to the original question. Cover the solved example and let the child try the first step. If needed, uncover one line at a time. After you have reasoned through it together, give a nearby problem to solve without a model, such as sharing 24 apples among four children. This independent try shows whether the child can carry the idea across a small change. It is practice, not a test of character.

Keep the support proportional

Do not complete a page of homework for the child or insist that every mistake be corrected before bedtime. One carefully chosen comparison may be enough for that sitting. If the assignment is still confusing, write down the exact question and the step that caused difficulty so the child can ask the teacher. The IES guide is intended to inform instruction and intervention, not to replace the child’s curriculum or the teacher’s guidance.

If a teacher has taught a particular method, use the class method when you can. A different shortcut may produce the right answer but leave the student unsure how to show work in class. If you are not sure what method is expected, ask the teacher to clarify rather than turning home practice into a debate about which method is best.

Notice the thinking that became clearer

A useful review can end with a small observation: “You noticed that equal sharing meant four groups,” or “The drawing helped you see what the 8 represented.” Specific feedback tells the child what they did, without promising that one good attempt means they have mastered the whole topic. Keep a note of repeated sticking points and share concrete examples with the teacher if the same type of step keeps blocking homework.