As an IBDP Math AA HL student with a consistent 90% accuracy rate in every Math summative and excellent results in Math competitions such as Euclid (CEMC), AMC12, AIME, USAMO. I have developed a comprehensive study guide based on my personal experience and effective learning strategies to help more IB students to achieve 7 in Math AA course!
“Knowing how you learn best is one of the best ways to give your education a boost.”.
– UWS
1. Pre-study and Preparation
Pre-study is crucial to understanding what you are about to learn! I used to preview all the chapters and concepts at the beginning of each term based on the syllabus provided by the teacher. This not only helped me keep up with the teacher in class, but also enabled me to prepare for any queries in advance, effectively increasing class participation.
2. Effective Note-Taking Technique
I used the Cornell note-taking method. This method of organising information through a clear structure (keyword area, notes area and summary area) has greatly improved my revision efficiency. For example, when studying the concept of “integration”, I would list the terms “indefinite integral”, “definite integral” and “integral law” in the keyword area, and “integral law” in the notes area. I will list the terms “indefinite integral”, “definite integral” and “integral law” in the keywords section, record the formulas and problem-solving steps in detail in the notes section, and summarise the main ideas and personal understanding in the summary section.
3. Regular Practice and Memory Cycle
Regular practice is the key to consolidating new knowledge. Combined with the memory cycle theory, I practice new concepts immediately after I first learn them and then review them at intervals of 24 hours, a week and a month. In addition, I have an error book dedicated to those questions that I have answered incorrectly or found difficult. By reviewing this error book on a regular basis, I not only reduce the chances of repeating my mistakes, but also deepen my understanding of mathematical concepts.
4. Learning by teaching
Explaining math concepts to others is definitely an effective way to deepen understanding. I would share my understanding of a concept in a study group or help answer others’ questions in an online forum. This process not only reinforces my knowledge points, but also improves my communication and presentation skills.
5. Extensive Reading and Use of Resources
I also enriched my learning by reading additional maths books and online resources. These extended readings not only deepened my mathematical understanding but also stimulated my interest in mathematics. Recommended titles include platform resources from the ‘The Art of Problem Solving’ series and ‘Mathematics: Its Content, Methods and Meaning’. In addition, maths courses on online platforms such as Khan Academy and Coursera are excellent supplementary materials.
FQA
- When should I revise if I have too much homework ?
Preferably the night before the class, you don’t need a lot of time just to look at the general idea.
During intense study, it is more important to make use of the fragmented time to prepare and review some concepts, you can make some small cards or notes on the Internet to help memorise.
In fact, I think you only need to choose to do the classic type of questions to do, figure out the set of questions in this category after you do not have to be in the constant repetition.
- What are the differences in content between notes taken at different time?
Before class, I tend to get a general idea of what I’m interested in and what I’m confused about, so I can focus on it when I listen to the class.It is also a good habit to ask the teacher questions after class and take notes.
- Any examples of learning by teaching?
You can try to explain problems to other students in your class, and of course, you can visit ‘art of problem solving’ , the world’s largest maths communication platform, to communicate with students from other countries.
- Can you give some specific learning platforms or materials that are suitable for students based on their performance?
Khan Academy is more suited to basic students. For students who already have a good foundation of math, my advice would be to try to do AMC12 or BMO questions when you have time to spare.
Although some of the knowledge of number theory used in the competitions will simplify your steps in the proofs in IB to a great extent, I would suggest going for a systematic study with a professional tutor, otherwise you may lose sight of the bigger picture!
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