## H2 Maths Tuition Pedagogy

We see the key to excelling in Mathematics as mastery of two aspects.

### First- Understanding.

Mathematics can sometimes be abstract and complex. Our H2 Maths Tuition helps students better understand by breaking down the topics into simple components and using real-life examples in our teaching. By simplifying core concepts, we hope to not only aid students’ understanding but also application of formulae and methodologies.

### Second- Problem Solving.

You will often hear that practice is key to excelling in Mathematics. We believe that with proper guidance and understanding of techniques, practice would be doubly effective. This is why at Quintessential, our H2 Maths Tuition classes have developed simple yet effective problem solving techniques to help students through the process of answering questions.

For each topic, we will start by building a firm foundational understanding of the concepts, following which we will focus on problem solving techniques and hone the students familiarity and achieve H2 Mathematics finesse through practice.

We help weaker students build a strong foundation, and help the stronger ones score well in exams. Our effective H2 Maths Tuition lessons have been translated into excellent results.

## Our H2 Maths tuition curriculum includes:

**Pure Mathematics**

- Functions and graphs
- Inequalities
- Sequences and series
- Vectors
- Complex numbers
- Trigonometric Identities
- Differentiation and integration
- Maclaurin’s series
- Differential Equations

**Statistics (a particular weakness among most students)**

- Permutation and Combinations
- Probability
- Sampling Methods
- Binomial, Poisson and Normal Distribution
- Hypothesis Testing
- Linear Correlation

Click here for SEAB’s H1 Maths Syllabus and H2 Maths Syllabus 2016.

**Willy Heng (BBA NTU)**

My teaching journey started as early as from when I was in Junior College. Back then I started with my peers, and then moved on to students while serving my National Service. To me, sharing knowledge and helping others to excel is a joy. Having started from teaching peers, I understand the difficulties that students encounter, and see the importance of simplifying complex mathematical theories into easily understood concepts. Rather than teaching answers, I focuses my lessons on cultivating techniques to help students build understanding, and provide them with tools to tackle increasingly demanding and creative Mathematics examination questions.

I believe that each student’s results are dependant not only on their resilience when faced with difficulties, but also on having a good tutor who can provide good explanations and help clear any doubts that the student may have. My students always feel assured of being able to attain the results they set out for, and I always have faith that they will be able to do well in their examinations!

**Mr Timothy Gan (B.Sc, NUS Mech. Eng.)**

Albert Einstein’s quote “If you can’t explain it simply, you don’t understand it well enough” is the bedrock of my teaching strategy. I strongly believe that keeping explanations simple, and utilising layman terms during lessons is the most effective method to relate to my students and to reaffirm their basic Mathematics knowledge. I enjoy injecting jokes into my teaching to make lessons more interesting and fun. I think that it is important for me to build up a good rapport with my students so that I can better attract and retain their attention. I hope that my cold jokes will allow students to warm up to me! 😉

Through my numerous years of experience teaching both the JC and Secondary Mathematics syllabus, I feel that the poor understanding of concepts and presence of other school commitments are two key factors that have severely hindered students from having constant practice with Mathematics questions. This acute lack of practice is usually a student’s main obstacle to obtaining better grades for Math. Everyone can excel in Mathematics, and excellent grades are not hard to achieve. What a student needs is perseverance, proper guidance and practice to succeed. Hence, in my lessons I would first shore up my student’s foundations and conceptual understanding before moving on to more rigorous practice questions.

I group my tutorial questions accordingly to their level of difficulty so that both weak and stronger students are able to pace themselves within the same class. This arrangement provides me with sufficient leeway to tackle each student’s weaknesses individually. Group tuition provides a competitive element towards learning, which is a great motivating factor for students to strive harder and learn from one another, in order to avoid making common errors. I believe that this provides for a much more conducive environment for learning as compared to one to one tuition.

An avid lover of both music and basketball, I welcome all students to have a leisure chat and trade pointers with me regarding these two topics outside of Mathematics!

**Ms Wei Wei** **(B.Sc, NUS Maths)**

Hello, I’m Wei Wei! I graduated with a Bachelor of Mathematics from NUS and was awarded the Postgraduate Diploma in Education (PGDE) in Teaching by NIE. Driven by my love and passion for teaching, I am a proud recipient of the Outstanding Contribution Award (Team) in 2015. I strongly believe that every student has the potential to achieve excellent results. Known for my fun-loving Mathematics lessons, clarity in explanations and my efforts in going the extra mile, I have won the trust of many parents and students. Over my years of teaching, I have guided numerous students in achieving outstanding results in the ‘O’ Level examinations.

The teaching of Mathematics has a significant impact on the outcomes of student learning. Below are three main beliefs of my teaching methodologies 🙂

__Caring beyond classrooms & Building Confidence__

Teachers are the most important resource for developing students’ mathematical abilities. As such, I truly believe that passion for teaching Mathematics first begins with a greater passion for teaching students. I invest immense effort in getting to know my students. Students will naturally rise to the challenge and be motivated once they know the teacher is sincerely concerned about their understanding.

__Differentiated Drill & Practice __

Of course in Mathematics, we can’t escape practicing! Drill and practice is only effective when students have had a complete understanding of the concept. If understanding doesn’t come, it will only hinder their learning. I believe in emphasising links between different mathematical concepts. I divide my drill packages into different difficulty levels, progressively introducing concepts based on prior knowledge. Differentiated practices will raise their confidence in their capacity to learn and to make sense of Mathematics.

__Assessment for Learning __

Apart from teaching, I also design various assessments to monitor my students’ progress. For instance, students will complete a ‘Check-in’ quiz once a concept is taught. Through this, I am then able to identify any learning issues and determine what to do next. I constantly observe how my students learn, what interests them and how much they have progressed so as to make informed decisions to better cater to their individual learning needs.

An advocate of running, playing music and backpacking, I love to connect with my students through the sharing of my personal experiences outside of Mathematics as well!

“Nothing worth having comes easy.” Working hard will bring you far in excelling in Mathematics!

**Malcolm Ong (B.ES NUS)**

Hi, my name is Malcolm 🙂 I graduated from National Junior College and later NUS with a Bachelor in Engineering Science with top honours and was on the Dean’s list for outstanding academic achievements. I have also taught at 2 local schools (covering Physics and Mathematics) and eventually moved on to a well known firm in the Reits sector. Nevertheless, I find myself going back to teaching as I find it a joy to be able to connect with students and give them the push they need to excel in their studies. I prefer being a mentor rather than a dictator towards my students, as I find it much more effective to engage with my students after I have gotten to know them on a personal level.

You will never find me giving out final answers in class without first providing ample explanation and reasoning as to how I derived the solution. By breaking the process down for my students, I believe that not only would it help with their understanding of both Math or Physics formulae, but it would also facilitate their ability to apply the relevant concepts to other questions.

**David Yuen, RI 2015, H2 MATHS: A**

Mr Heng is an amicable and approachable teacher. He is not only friendly but his teaching methods are incredibly effective. Whenever we have questions, he would explain them patiently to us until we understood. As someone whose Maths was never that good, attending his tuition really helped me gain strong fundamental understanding in Math and improved my scores. He imparted the various strategies to solve the common problems so that we could confidently tackle challenging problems that I faced. He also shared several study tips that helped immensely in our understanding of the concepts.

**Brent Tan, RI 2015, H2 MATHS: A**

Mr Gan is a patient and caring teacher. He is very friendly and easy to talk to. When I struggled with certain topics, he would explain them to me until I fully understood them and leave no stones unturned. He would also teach me different methods to solve questions and made sure I understood the reasoning behind each method. With his guidance, I became much more confident in my math ability and my results improved dramatically. I also appreciated that the classes were extremely easy to follow as he could explain difficult concepts in very simple term. I truly appreciate being under his class.

**Milly W, 2015 RVHS, H2 MATHS: A**

Mr Timothy is a really dedicated and passionate teacher. I used to really dislike math but slowly grew to love the subject after being under his wing for the entire year in J2. He’s able to make learning math so much more interesting and is really patient with us. When we encountered difficult questions, he would use different approaches to ensure that all of us understand clearly. I also saw a remarkable improvement in my math result in the short span of one year under his guidance. He would always come to the centre earlier to clear our doubts or even stay back slightly later to answer our questions. Overall, I really enjoyed the Maths Tuition lessons by him.

**Goh Tze Wee Muhd Hykel, TPJC 2014, H2 MATHS: B**

I joined Mr Heng’s lesson at the start of JC 1. Under his guidance, I was able to learn quickly and understand math concepts more easily, especially since he strives to ensure that concepts that are complicated become easy to comprehend. Furthermore, Mr Heng was very thorough and made sure that every important detail was covered. Also, his friendliness made it such that lessons were very enjoyable. Overall this had led me to do Math better and do well in school.

**Lee Chong Hon, NYJC 2014, H2 MATHS: A**

It has been an enjoyable 2 years with Mr Heng as my math tutor. His lessons are engaging and his explanations are clear. Mr Heng puts in a lot of effort in his teaching as he makes sure that we understand the maths concepts before moving on to the next chapter and he took a lot of time to make a summary of each chapter right before our ‘A’ levels. Extra practices were also given each week in year 2, and I saw a large improvement in my Maths grade, from an E to an A. Mr Heng is also very approachable as he helps us with our questions not only during lessons but also through Whatsapp.

**Wong Wei Leong, ACJC 2014, H2 MATHS: A**

Mr Gan has been a very committed and passionate tutor to me. I learnt so much from him and found that it was very easy to grasp and understand the concepts in his class. The practices also helped significantly, which was more intensive and progressive than those I had in school. Overall, Mr Gan is very dedicated in his teaching and it has enabled me to improve significantly in my studies. I am thankful for his great help.

## Resources

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### H2 Maths Tuition by Quintessential Education

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