I find that examples are the best way to learn, specifically if a real-world example can be used. That brings the maths to life and enables you to see the relevancy in what you are being taught.
Many schools teach you what to learn but never focus on what is the best way to learn. i.e. Utilising active recall methods, how to effectively write notes, etc. I like to share what I've learnt throughout my academic career which made it easier for myself.
I tend to follow a similar structure for each lesson.
What is the problem? Why do we need it?
What rule(s) will we require to solve a given issue?
Usually an example I have made up or that is in a textbook, these will vary in difficulty from easy to exam difficulty (and further difficult if need be)
Past Paper Questions
There's nothing quite like past papers! This enables you to see what you'll be asked in the exam. I'll go through exam tips and tricks.
This reinforces key ideas which leads to better recall.
Having graduated with a first class honours degree in Mathematics I have decided to take a year out before I do my masters at the London School Of Economics to gain professional experience. During my time at university I did a variety of modules, enabling me to gain a broad spectrum of knowledge across all areas of Mathematics.
Having struggled with my studies in the past I am fully aware of the challenges students face, I have since then overcome many obstacles and moreover I know the difference 1-1 tuition can make. I believe the key to learning is in having a clear structure, my degree has taught me how to be methodical and lay out complex information in a simple manner.
The modules I have done during my degree include:
Algebra I + II
Calculus I + II
Investigations and Problem Solving
Complex Variable I and Vector Calculus
Non-linear Differential Equations
Partial Differential Equations
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