Guiding Young Children in Mathematics
When teaching young children Mathematics, the goal is not simply to help them memorise formulas or obtain the correct answer. It is far more important to develop a strong understanding of numbers and how Mathematics relates to everyday life.
Parents may refer to the Singapore Ministry of Education (MOE) Primary Mathematics syllabus as a guide to understand the learning objectives at each level.
Key Teaching Principles
1. Help Children Understand the Meaning of Numbers (Primary 1 to Primary 4)
Children should learn that numbers represent real quantities, not just symbols written on paper.
Relate numbers to real-life experiences, such as:
Comparing 10 kg of rice with 1 kg of rice
Estimating the height of a door, a person, or different animals
Comparing the length of a bed, a car, or a train
Measuring the weight of fruits, school bags, or household objects
By connecting Mathematics to everyday experiences, children develop a much stronger sense of number value and magnitude.
2. Make Fractions Meaningful
Fractions should always be introduced using familiar situations before moving on to calculations.
For example:
One cake shared equally among 4 people
One cake shared equally among 8 people
Children can easily see that each person receives a larger piece when four people share the cake than when eight people share it.
This naturally leads them to understand that:
1/4 is larger than 1/8
without relying solely on memorisation.
3. Build Strong Foundation Skills
A solid mathematical foundation is essential before introducing more challenging topics.
Students should master:
Addition
Subtraction
Multiplication tables (times tables)
Basic division
Mental calculation strategies
Number bonds and place value
These fundamental skills improve speed, accuracy, and confidence in solving more complex questions.
Parents can also support learning at home by encouraging regular practice through math educational apps games. Many well-designed apps provide engaging exercises for addition, subtraction, multiplication, and division, allowing children to strengthen their basic arithmetic skills in a fun and interactive way. Short daily practice sessions of just 10–15 minutes can significantly improve speed, accuracy, and confidence.
However, while educational apps are excellent for reinforcing basic computational skills, they should complement—not replace—conceptual learning and problem-solving activities guided by parents or teachers.
4. Develop Model Drawing Skills (Primary 3 to Primary 4)
Model drawing is one of the most important problem-solving strategies in the Singapore Mathematics curriculum.
Instead of treating it as another method to memorise, children should first understand why models work.
One effective way is to use LEGO bricks, building blocks, or other physical objects to represent quantities. By arranging and comparing blocks, students can visualise relationships between numbers before drawing bar models on paper.
This hands-on approach helps children recognise that model drawing is a thinking tool, not merely a drawing exercise.
5. Focus on Understanding Rather Than Memorising
When solving word problems, encourage children to understand the meaning of each quantity and the relationships between them.
Instead of immediately searching for a formula, guide them to ask questions such as:
What does this number represent?
Is this quantity larger or smaller?
What information is already known?
What am I trying to find?
When students understand the value and purpose of each number, they become more confident and independent problem solvers.
A Strong Foundation Leads to Long-Term Success
Children who develop a deep understanding of mathematical concepts in the lower primary years (Primary 1 to Primary 4) are better prepared for upper primary Mathematics. Strong conceptual understanding reduces reliance on memorisation and enables students to solve unfamiliar and higher-order questions with confidence.
My teaching philosophy is simple: understand first, memorise later. When children truly understand the concepts, Mathematics becomes logical, meaningful, and enjoyable.