Introduction
Why do some students seem to understand mathematics effortlessly while others struggle with even simple calculations?
The answer is not always intelligence.
In many cases, top-performing students share one important skill:
Strong Number Sense.
Number sense is one of the biggest predictors of mathematical success. Students with strong number sense understand how numbers work, recognize patterns quickly, estimate answers accurately, and solve problems efficiently.
This is why educators worldwide are placing greater emphasis on mental mathematics, mental calculation, and mental arithmetic practice rather than relying solely on memorization.
Strong number sense helps children:
- Build maths confidence
- Improve problem-solving abilities
- Develop logical thinking
- Learn advanced mathematical concepts more easily
- Perform better in school and examinations
Let’s explore why number sense is becoming one of the most valuable skills children can develop.
What Is Number Sense?
Number sense is the ability to understand numbers and their relationships.
Children with strong number sense can:
- Estimate answers
- Compare quantities
- Recognize patterns
- Perform mental calculations
- Solve problems flexibly
For example:
A child with good number sense instantly knows that:
49 + 51 = 100
without needing paper or a calculator.
This understanding forms the foundation of strong mathematical thinking.
Why Top Students Have Strong Number Sense
Top-performing students do not simply memorize formulas.
They understand numbers.
When faced with a problem, they often think:
- Is there a faster way?
- Can I estimate first?
- Does the answer make sense?
This flexibility comes from regular mental arithmetic practice and exposure to various number sense activities.
Strong number sense allows students to approach challenges confidently instead of feeling overwhelmed.
How Mental Mathematics Builds Number Sense
One of the most effective ways to strengthen number sense is through mental mathematics.
Mental mathematics encourages children to think actively rather than depend on calculators.
Regular practice helps children:
- Understand place value
- Recognize patterns
- Improve estimation skills
- Develop mathematical confidence
Children who engage in mental mathematics often become faster and more accurate problem solvers.
Mental Math Examples That Improve Number Sense
Let’s look at some simple mental math examples used by top-performing students.
Example 1: Adding Mentally
Calculate:
48 + 27
Trick
Break 27 into:
20 + 7
48 + 20 = 68
68 + 7 = 75
Answer = 75
This technique improves flexibility in thinking.
Example 2: Fast Subtraction
Calculate:
100 − 47
Trick
Subtract 50 first:
100 − 50 = 50
Add back 3:
50 + 3 = 53
Answer = 53
Students who practice this type of mental calculation become more comfortable working with numbers.
Example 3: Multiplication Shortcut
Calculate:
25 × 12
Trick
25 × 10 = 250
25 × 2 = 50
250 + 50 = 300
Answer = 300
This method strengthens number relationships.
Why Mental Calculation Skills Matter
Strong mental calculation skills are useful far beyond the classroom.
Children use mental calculation when:
- Shopping
- Calculating discounts
- Managing money
- Estimating travel times
- Solving everyday problems
Students who regularly practice mental calculation develop confidence because they know they can handle numbers independently.
Number Sense Activities Every Child Should Try
Here are some powerful number sense activities that parents can use at home.
Activity 1: Estimate Before Calculating
Ask:
What is:
198 + 205
close to?
Children may estimate:
200 + 200 = 400
Actual answer:
403
This develops estimation skills.
Activity 2: Number Bonds
Find pairs that make 100:
60 + ?
75 + ?
42 + ?
Answers:
40, 25, 58
This activity strengthens mental flexibility.
Activity 3: Mental Multiplication Challenge
Calculate mentally:
15 × 10
15 × 20
15 × 30
Children begin noticing patterns.
Activity 4: Quick Daily Mental Arithmetic Practice
Spend five minutes daily solving:
35 + 28
94 − 36
12 × 8
25% of 200
Small daily exercises create significant long-term improvements.
Maths Confidence Begins with Small Successes
Many children believe they are “bad at maths.”
Often this happens because they struggle with basic calculations.
When children improve their mental arithmetic practice, they begin experiencing success more frequently.
They discover that:
- They can solve problems.
- They can answer quickly.
- They understand numbers.
These positive experiences gradually build maths confidence.
Confident students are more likely to participate in class and attempt challenging questions.
Mental Arithmetic Practice and Brain Development
Regular mental arithmetic practice acts as exercise for the brain.
Children must:
- Remember information
- Process numbers
- Make decisions
- Check answers
This strengthens:
- Working memory
- Concentration
- Logical reasoning
- Problem-solving skills
Many educators consider mental arithmetic one of the most effective forms of brain training for young learners.
Advanced Mental Math Examples
Example 4: Percentage Trick
Find 10% of 350
Trick
Move the decimal one place.
350 → 35
Answer = 35
Example 5: Find 5%
Find 5% of 200
Trick
10% of 200 = 20
Half of 20 = 10
Answer = 10
Example 6: Multiply by 11
Calculate:
34 × 11
Trick
34
3 + 4 = 7
Answer:
374
Check:
34 × 11 = 374
Students love these types of mental math examples because they make mathematics fun and engaging.
Why Calculators Should Not Replace Mental Mathematics
Calculators are useful tools.
However, relying on them too early can weaken number sense.
Students should first develop:
- Mental calculation skills
- Estimation abilities
- Number relationships
- Mathematical understanding
Once these foundations are strong, calculators become helpful tools rather than crutches.
The Hidden Advantage of Strong Number Sense
Students with strong number sense often:
- Learn algebra faster
- Understand fractions more easily
- Perform better in examinations
- Solve problems more efficiently
- Feel more confident in mathematics
This explains why top-performing students consistently invest time in mental mathematics and mental arithmetic practice.
They understand that strong foundations create long-term success.
Conclusion
What do top-performing students have in common?
More often than not, they possess strong number sense.
Through regular mental mathematics, mental arithmetic practice, and engaging number sense activities, children learn to understand numbers rather than simply memorize procedures.
The result is stronger mental calculation skills, greater maths confidence, and improved problem-solving abilities.
By introducing daily practice and encouraging flexible thinking, parents can help children build the strong mathematical foundation needed for future academic success.
Frequently Asked Questions
What is number sense in maths?
Number sense is the ability to understand numbers, estimate answers, recognize patterns, and solve problems efficiently.
Why is mental mathematics important?
Mental mathematics develops number sense, logical reasoning, confidence, and problem-solving abilities.
How can children improve mental calculation skills?
Regular practice through mental arithmetic exercises, number games, and mental math examples helps improve mental calculation skills.
What are some effective number sense activities?
Estimation games, number bonds, mental multiplication challenges, and daily mental arithmetic practice are excellent number sense activities.
How much mental arithmetic practice should children do?
Even 10–15 minutes of daily practice can significantly improve confidence and mathematical understanding.
About the Author
Niral Devnath is an experienced mathematics educator with over 15 years of teaching experience. Through Easy Teach Academy, he helps students worldwide develop mathematical confidence through Mental Maths, Abacus, Vedic Maths, and curriculum-based mathematics programs.
