Secondary Four students worry about their O Level Mathematics examinations because:

- They are still mixing up concepts
- They are still very weak in presenting their answers accurately during examinations
- They fear not being able to achieve their ideal O Level results

From our experience…
- Many Secondary Four students who are not strong in Mathematics tend to follow the wrong strategies and end up losing marks that they could have gotten easily
- Students are anxious because they don’t know efficient revision techniques

Why your child needs help with Secondary Four Mathematics right now

➡️ Our Mathematics coach can offer pertinent advice and tips to add value within a short period of time.

➡️ While we cannot perform a miracle at the last minute, a runway of six months can help your child immensely.

At Cognitus Academy, our students will get to develop a keen interest in abstract mathematical concepts, learn how to present the solutions coherently and strengthen their skills and techniques in solving the questions efficaciously.

Conquering Mathematics through the DEPTH Framework

Our curriculum methodology provides 5 key elements to help students learn effectively during our Mathematics lessons.
This framework evaluates students’ current ability, helps to clear doubts, and expose students to exam-based questions.

Our curriculum structure includes asking probing questions in class to encourage students to explore, discover and build their confidence in Mathematics.

Deepened Curriculum, Heightened Learning

Apart from what is learnt from the school syllabus, students will develop a deeper insight into the curriculum. Understanding the core concepts deeply will also enhance students’ ability to apply heuristics to handle higher-order thinking questions.

Eliminated Errors and Misconceptions

Drills and practices develop fluency and heighten students’ awareness of their carelessness when solving Mathematics questions. Training students to understand their own tendencies greatly improves the accuracy of their calculations.

Practical and Authentic (Real World) Mathematics Teasers

Learning out of real-world context requires abstract thinking. This requirement stumps some students who need to see concrete examples. Students will learn to link Mathematics to authentic real-world problems, enhancing their number sense and conceptual development.

Think Critically and Mathematically

Thinking critically requires habits of mind and problem-solving skills. Merging critical and mathematical thinking makes the learning of Mathematics exciting and engaging. Learning Mathematics in this way unlocks the fun and challenging aspects of the subject.

Honed Precision

With carefully selected tasks for each lesson, students will learn how to be quick and accurate in their computations. Beyond procedural accuracy, students will also develop structural thinking that provides repeatable steps for analysing non-routine questions.

Developing Concepts in Secondary Four Elementary Mathematics

Our Secondary Four Elementary Mathematics Programme focuses on building foundations for acquiring critical knowledge, sharpening critical thinking skills and applying concepts effectively.

Acquire Knowledge

➡️ Learn new topics such as Set Theory, Matrices and Vectors
➡️ Expand knowledge on previously learnt topics from Secondary One to Secondary Three

Sharpen Skills

➡️ Use and interpret Set theory symbols and Venn diagrams and apply the concept of Probability in solving questions
➡️ Revise and master all the Lower Secondary and Upper Secondary topics through our spaced repetition learning technique.

Apply Concepts

➡️ Consolidate and apply effective strategies to answer commonly tested questions through our practice papers
➡️ Able to confidently solve questions and do self-checking error analysis

Secondary Three Elementary Mathematics Topics

Our Secondary Four Elementary Mathematics programme is modelled closely to the latest MOE syllabus,
covering the following topics in our lessons:

Revision for all topics from Secondary One to Four

Developing Concepts in Secondary Four Additional Mathematics

Our Secondary Four Additional Mathematics Programme focuses on building foundations for acquiring critical knowledge, sharpening critical thinking skills and applying concepts effectively.

Acquire Knowledge

➡️ Learn the different advanced geometric theorems, such as the midpoint theorem
➡️ Learn the techniques of Differentiation and Integration with polynomials, exponents, logarithms and trigonometrical functions

Sharpen Skills

➡️ Use the advanced geometric theorems to prove geometrical statements to be true or false
➡️ Solve questions involving graphs, tangent and its Normal, stationary points, and related rate of change through the use of Calculus
➡️ Combine Calculus and Kinematics concepts to solve problems involving the motion of an object
➡️ Revise and master all the Secondary Three and Secondary Four topics through our spaced repetition learning technique

Apply Concepts

➡️ Consolidate and apply effective strategies to answer commonly tested questions through our practice papers
➡️ Able to confidently solve questions and do self-checking error analysis

Secondary Four Additional Mathematics Topics

Differentiation Techniques
Tangent, Normal and Rate of Change
Maxima and Minima
Differentiation of Trigonometry, Exponentials and Logarithms
Integration Techniques
Integration and Area
Integration and Kinematics

Termly Assessment

Our students come from a range of different schools with different academic cultures.

Do you know how your child compares with another student from a different school?

We conduct termly assessments for our students to assess their current progress and see where they stand relative to their classmates from different schools.

Our tests comprise of the most challenging questions from past year exams and will be able to diagnose students' weaknesses. From there, we will reinforce Mathematical skills and exam strategies.

Excellent strategies require excellent execution

Our team of experienced teachers and Mathematics specialists are well-versed in the DEPTH Framework and
are fully dedicated to help your child grow and improve.

Mr Stewart Teng

Chief Mathematics Consultant

As an experienced Mathematics educator of more than 20 years, Mr Teng has coached hundreds of Primary and Secondary students towards scoring distinctions for their Maths exams. It is no surprise that students who apply his methods consistently score distinctions in their Maths exams. In fact, his students’ distinction rates of 88% for PSLE students and 80% for O Level students are way above national averages.

A testament to an illustrious career in the Ministry of Education, Mr Teng has been awarded the prestigious Outstanding Youth in Education (OYEA) Award and made vital contributions to education in his capacity as Head of Department and Vice-Principal (Designate) of one of the top performing schools in Singapore. Throughout his stellar MOE career, Mr Teng’s passion in maths education never wavered.

Mr Joel Chang

Education Consultant / Teacher

Mr Joel Chang teaches Mathematics at the Secondary and Pre-University levels. A Mathematics fanatic since primary school, he deeply enjoys the rigour of learning complex levels of Mathematics, allowing him to consistently ace Mathematics and graduate from NUS with First Class Honours (projected). Learning Mathematics at an advanced level gives Mr Chang the opportunity to combine his passion for mathematical theory and application through his research on machine learning.

Always the enthusiastic Mathematics teacher, Mr Chang has taught Mathematics at various levels of understanding—from high school students to university undergraduates—equipping students to form insightful connections intuitively and propels them to excel academically. Mr Chang finds deep satisfaction in igniting interest in Mathematics among his students, and pushing them to explore concepts beyond the school curriculum.

Our Teaching Team

Cognitus Academy takes pride in helping our students achieve breakthroughs in their results.
We are able to do that because of the strong team that we have built to teach, organise and administer our robust Mathematics programmes.

Having been a teacher trainer at the National Institute of Education (NIE), Dr Daniel Chua has not only crafted a solid curriculum for our students, but also an effective training programme for our teachers.

At Cognitus Academy, teachers form the foundation of our Mathematics programmes. Prospective teachers are screened meticulously and undergo a rigorous 3-month training programme to develop core competencies of a teacher. Teaching interns also develop academic and philosophical roots in their pedagogy by studying the relevant materials in-depth and observing senior teachers in action before they enter the classrooms to teach.

After the completion of formal training, new teachers will continue to go through robust training and meet regularly to sharpen their problem-solving skills, explore innovative and effective curriculum for students, and refine teaching methods to enhance the students' mastery of the subject.

Our curriculum and pedagogy are continuously refined and updated in accordance with the changes in the education system by our curriculum team comprising of ex-MOE teachers, Heads of Department, Senior Teachers, PSLE markers and experienced Cognitus teachers.

Interested to find out if Cognitus Academy's Secondary Regular Mathematics Programme fits your child's learning needs?

All new students are offered an immersion session to get a taste of the quality teaching and engagement in our classrooms.

✅ Students should email us their recent test papers in advance for our teachers to look through. A 15-minute pre-lesson diagnostic assessment will be scheduled with the student.

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✅ Experience our teachers’ lively and engaging classroom teaching, as they optimise student engagement and provide easily comprehensible instructions in our immersion session.

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✅ Evaluation of the student’s learning in class will be given to parents after the immersion session.

Class Size

In order to optimise precious time in every lesson, we have kept our class sizes small. Small class sizes ensure that every student gets the attention from their teachers and have meaningful interaction among classmates and teachers. Such a setting is conducive for clarifying doubts and sharing different points of view.


The DEPTH Framework develops critical thinking and takes time to master. Although some students see improvement right away, most will take 2-3 months to see results.

In order to help your child improve his/her Mathematics results as soon as possible, schedule an immersion session with us today!

Additional support for Members of our Community

Apart from delivering the strongest Mathematics curriculum possible, what else can we do to add value to our students? While we will never stop innovating, we are currently supplementing our Mathematics courses with the following package we like to call Cognitus Plus.

Cognitus Online

Our very own student portal, Cognitus Online, provides supplementary materials and past exam papers for students to practise. This is a portal that not only supports our online students but, also our students attending physical classes.
To learn more about Cognitus Online, click READ MORE.


Our Blog pages feature study tips, exam techniques and model compositions to support our students and parents.
To learn more about blog, click READ MORE.

Good strategies will only be able to transform students' results if they are motivated

Your child may have been attending Mathematics tuition but has not been seeing improvement.

Why is that so?

The fact is, the lessons your child has been attending are not pitched according to his/her level of readiness.
If students are unable to grasp the lesson, forcing them to finish their Maths assignments demotivates them.
If the lessons are too simple, your child will be bored and unmotivated.

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At Cognitus Academy, our programme is crafted to MEET every child’s level of readiness and motivate them to achieve their FULL potential.

Through our own passion for the subject, our trained and experienced teachers ignite students’ LOVE and INTEREST in Mathematics .

Frequently Asked Questions

How is your Secondary Mathematics programme different from other Mathematics tuition programmes?
Cognitus Academy applies the DEPTH Framework where we ensure that learning does not simply come from drill and practice. DEPTH Framework focuses on real-life application of Mathematics and problem-solving skills. We follow a structured lesson plan where students apply their knowledge in bite-size practices and move on to problem sums to build their confidence. Students who are strong in Mathematics will be stretched through practices with non-routine questions.
How does my child build up his/her foundation in Mathematics?
One key foundation in the DEPTH Framework is the ability to connect mathematical concepts with real-life examples. Starting from the concrete application of Mathematics, your child can then develop understanding in using abstract (numbers and models) forms of presentation for their interpretation and solution of each question. Our experienced teachers will also pace your child towards success by helping them to create small victories that lead to big success in Mathematics.
If my child has Mathematics questions from school that he is unable to solve, can he consult the centre’s teachers?
Certainly! The purpose of conducting a small-class Mathematics tuition is to create a structured, yet individualised learning experience for our students. Please send all your child’s questions from school and individual practices our way.
How is a typical lesson like?
Each lesson runs for 120 minutes.
– For the first 15 minutes, we will go through corrections from previous homework. This step is critical in helping students correct misconceptions.
– The remaining part of the lesson will focus on problem sums where students are taught effective and efficient steps to solve higher-order thinking questions.
What is the difference between IP/IB and O level Mathematics?
90% of the IP/IB Mathematics topics are similar to that of the O level Mathematics. Our programmes are created to teach our students the concepts and to stretch them further to higher order thinking. Hence, IP/IB students will continue to feel engaged during lessons while the O level students’ potential are stretched.

Still can’t decide which Mathematics Programme to enrol in?

We understand that choosing the right programme is an important decision because we have worked with hundreds of parents who are just as concerned as you about their child’s results. If you would like to discuss your needs with one of our curriculum specialists, fill out the form below and we will be in touch with you.