A student can memorise a formula, reproduce a definition and still struggle when faced with a question they have never seen before.
This is one of the biggest differences between knowing an answer and understanding a concept.
In Mathematics and Science, students are often expected to do more than remember information. They need to interpret questions, connect ideas, apply principles and work through problems they may not have encountered before.
That is why genuine understanding matters.
Memorising Can Help, But It Has Limits
Memorisation has an important place in education.
Students need to remember mathematical formulas, scientific terms, definitions, equations and important facts. The problem begins when memorisation becomes the primary method of learning.
A student may remember that:
Area of a circle = πr²
But can they recognise when the formula should be used?
Can they rearrange the information in a question to find the radius?
Can they explain what happens to the area when the radius changes?
Can they apply the concept to a problem presented in an unfamiliar way?
Understanding allows students to go beyond simply recalling information.
Understanding Gives Students Something to Build On
Academic subjects become progressively more demanding.
A student who understands fractions is better prepared to work with algebraic expressions. A student who understands basic algebra has a stronger foundation for equations, functions and more advanced Mathematics.
The same principle applies to Science.
Understanding forces students to see the relationship between ideas rather than treating every topic as a separate collection of facts.
For example, in Physics, understanding the relationship between force, mass and acceleration gives a student a foundation for solving different types of problems.
In Chemistry, understanding why reactions occur is more useful than simply memorising a list of reactions.
In Biology, understanding how biological systems work makes it easier to interpret unfamiliar information and answer application-based questions.
What Happens When a Student Truly Understands?
A student who understands a concept can usually do more than reproduce what they have been shown.
They can:
- Explain an idea in their own words
- Identify what a question is asking
- Connect new information to what they already know
- Choose an appropriate method
- Apply knowledge to unfamiliar problems
- Recognise and correct mistakes
- Explain why an answer makes sense
These skills become increasingly important as students progress through school and prepare for more demanding examinations.
The Importance of Asking "Why?"
One simple way to move from memorisation to understanding is to encourage students to ask:
Why does this work?
Instead of simply learning:
"Use this formula."
Ask:
"Why does this formula work?"
Instead of:
"This is the answer."
Ask:
"How did we arrive at this answer?"
Instead of:
"This is the method."
Ask:
"Why is this the right method for this problem?"
These questions encourage students to think about the principles behind what they are learning.
Understanding Makes Mistakes More Useful
Mistakes are not necessarily evidence that a student cannot learn a subject.
In many cases, mistakes reveal exactly where understanding breaks down.
A student might make an error because they:
- Misunderstood the question
- Applied the wrong formula
- Skipped an important step
- Confused two related concepts
- Made an arithmetic error
- Did not understand why a particular method was required
When the underlying mistake is identified, the student can correct the reasoning rather than simply memorising the correct answer.
This creates a more useful learning experience.
How Parents Can Encourage Deeper Learning
Parents do not need to become their child's teacher to encourage understanding.
When your child is working through a difficult question, try asking:
"Can you explain how you got that answer?"
Or:
"What do you think the question is asking you to find?"
You can also ask:
"Can you think of another way to solve it?"
These questions encourage your child to explain their thinking rather than simply search for the correct answer.
If they cannot explain their reasoning, that can be a useful indication that the concept needs further attention.
The Goal Is Independent Problem-Solving
The ultimate goal of effective academic support should not be to make a student dependent on a tutor.
It should help the student become increasingly capable of working independently.
A strong learning process should gradually move a student from:
"I don't understand this."
to:
"I understand the concept."
Then:
"I can solve this with some guidance."
And eventually:
"I can work this out myself."
That progression is much more valuable than simply getting the right answer to one question.
Understanding Builds Confidence
Confidence in Mathematics and Science does not have to come from always getting questions right.
It can come from knowing what to do when a difficult question appears.
When students understand the principles behind what they are learning, an unfamiliar problem becomes less intimidating. They have something to work from, even when they do not immediately know the answer.
That is the kind of confidence that can continue to develop as academic demands increase.
Learning Beyond the Answer
At Onayemi Academy, the focus is not simply on helping students find the correct answer.
Lessons are designed to help students understand concepts, develop problem-solving skills, and apply their knowledge to different types of questions.
Because every student starts from a different point, the approach can be adapted to their current ability, learning needs, and academic goals.
The objective is simple:
Help students understand what they are learning, know how to use it, and become more confident in solving problems independently.
Does Your Child Know the Answer or Understand It?
If your child can memorise a method but struggles when a question is presented differently, it may be time to focus more deeply on understanding.
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