Did you know that a child can calculate accurately and still misunderstand the equals sign? In Mathematics, “=” means that the expression on the left has the same value as the expression on the right. It does not mean “now write the answer.” This distinction matters from Primary arithmetic through Secondary equations and algebra.
Try one diagnostic before giving another worksheet: ask whether 7 = 7, 7 = 5 + 2 and 5 + 2 = 4 + 3 are all true. Then ask for the missing number in 8 + 4 = □ + 5. The answer is 7 because both sides must equal 12.
If the child writes 12 in the box, do not label the mistake as carelessness. They may be reading the symbol as a one-way command. Ask the tutor to teach equality as a relationship, then check the idea on a fresh equation with the blank in a different position.
eduKateSG · Bukit Timah · Parent learning guide
Find your next learning step
- Identify the one-way reading
- Teach balance without a slogan
- Use a revealing missing-number check
- Connect the idea to algebra
- Check independent transfer
Choose another question in the Primary to SEC series guide
SECTION 1 OF 5
Find out what the equals sign means to the child
Ask, “What does this symbol tell us?” A child who says “it tells me to do the sum” may be describing a procedure rather than equality. Keep the explanation neutral so the pupil can show their current model.
Use true-or-false statements before asking the child to solve anything: 6 + 3 = 9, 9 = 6 + 3, 6 + 3 = 5 + 4 and 6 + 3 = 8. Ask the pupil to justify each decision.
A student may accept the first statement but reject the next two because the calculation appears on the “wrong” side. That pattern is stronger evidence than one wrong missing-number answer.
SECTION 2 OF 5
Build equality as a relationship between two values
Read an equation aloud as “has the same value as.” For example, 14 − 6 = 3 + 5 says that both expressions have value 8. The expressions look different, but the equality is true.
A balance image can help, but connect it to the numbers. If the same amount is added to, subtracted from, multiplied on or divided from both sides under valid conditions, equality is preserved. Avoid teaching “move it across and change the sign” before the relationship is understood.
In a 3-pax lesson, students can compare two different expressions that make the same value, explain why they match and then write one of their own. Each learner should still justify an individual example.
SECTION 3 OF 5
Change where the unknown appears
Original teaching illustration: ask 9 + 6 = □ + 8. The left side is 15, so the missing number is 7. Check by calculating both sides, not by following every number from left to right.
Next use □ = 11 − 4 and 3 × 4 = 6 × □. The answers are 7 and 2. Moving the blank changes the surface but not the meaning of equality.
Record whether the child needed a balance drawing, a prompt to calculate both sides or no help. A later fresh item shows whether the meaning is beginning to travel with the symbol.
SECTION 4 OF 5
Show why equality matters in Secondary Mathematics
An equation such as 3x = 21 is not a queue of calculations. It states that two quantities have equal value. Solving finds the value of x that makes the statement true.
When a valid operation is applied to both sides, the equality is maintained. For 3x = 21, dividing both sides by 3 gives x = 7. Substitution checks the result: 3 × 7 = 21.
This principle supports Primary missing-number work, PSLE problem solving and later equations at the student’s actual subject level. Match notation and difficulty to what has been taught rather than rushing into symbolic rules.
SECTION 5 OF 5
Decide whether the repair is working
Give one familiar equation and one changed equation a day or two later. Ask the child to state what the equals sign means, decide whether each statement is true and correct a false one.
Look for a shift from “I did the sum” to “both sides have the same value.” Accuracy matters, but the explanation reveals whether the child can control the relationship instead of guessing from position.
If the same one-way reading persists, share the examples with the school teacher and tutor. Agree on one small target: reading equality correctly, checking both sides or maintaining equality through one valid step.
Contents · Previous · Discuss your next step
Bring one useful example to a consultation
Bring two equations the child completed, including one that places the blank before or between expressions. Ask which interpretation caused the error, what model will be taught and how a fresh independent equation will be checked. Confirm suitable 3-pax arrangements directly.
Continue with the closest guide
- Bukit Timah Primary to SEC tuition-help series
- Why Does My Child Choose the Wrong Operation in Maths Word Problems?
- What Should My Child Do When a Maths Answer Must Be Given in a Different Form?
- My Child Gets the Right Answer but Cannot Explain It—Is Tuition Working?
Sources and scope
The examples are original teaching illustrations. The routines are practical educational guidance, not measured student outcomes, grade promises or universal mastery thresholds. The teaching approach follows the diagnosis, clear explanation and independent-practice principles in the eduKateSG reference below. Current examination context was checked on 11 October 2026. Use the syllabus for the student’s actual subject, level, candidate type and examination year.