How to ACE Year 12 Maths (99.95 ATAR Tips - Methods and Specialist)

Summary

The video explains how to study Year 12 maths effectively, emphasizing understanding concepts rather than relying only on repeated practice questions. The speaker argues that maths ability is not simply a matter of being “a maths person”: a growth mindset, strong foundations, and deliberate reflection can all help students improve.

Main Ideas

• Adopt a growth mindset. Replace “I’m not a maths person” with the idea that there is more to learn. Fixed beliefs can affect motivation and behavior, while most people can improve at maths with suitable learning and effort.
• Build strong foundations. New topics are easier to learn when they connect to existing knowledge. Difficulties in later years may reflect gaps in earlier understanding rather than an inability to do maths.
• Learn concepts deeply. Understand why methods work, what concepts mean, and how ideas relate to one another. This is especially important for unfamiliar or “curveball” exam questions that may not resemble practiced examples.
• Connect ideas. Mind maps can make relationships between mathematical concepts explicit. Creating them can be challenging because it requires a sound understanding of the concepts and how they fit together.
• Use practice questions thoughtfully. Repeating questions without reflection can be inefficient. Use questions to develop understanding, identify gaps, and test how well you can apply concepts—not simply to accumulate a high question count.

Use Kolb’s Experiential Learning Cycle

Kolb’s cycle offers a framework for learning from practice:

1. Experience: Try a new question or question type, even if you are unsure how to solve it.
2. Reflect: Look beyond whether your answer was right. Review the worked solution, compare its reasoning with your own, and consider alternative approaches.
3. Abstract: Form a general lesson or hypothesis from the attempt, such as a different strategy to try next time. You might also consider what would happen if you changed part of your method.
4. Experiment: Test your idea on another question. That attempt creates a new experience and begins the cycle again.

Mistakes are useful when they are followed by reflection. If you get a question wrong, try to work through it further before immediately looking at the solution. Errors made with high confidence can be particularly instructive.

How to Learn Maths

• Attempt problems before being shown the method. The speaker calls this the generation effect: trying an unfamiliar problem using what you already know can prepare you for unseen exam questions and make learning more active than simply copying a worked example.
• Use worked solutions actively. After attempting a problem, compare your reasoning with the solution, even if you got the right answer. Consider whether the solution offers a clearer or more general method.
• Prioritize understanding over volume. You may perform well after completing fewer questions if you understand the concepts and can recognize how to apply them in new situations.
• Ask inquiry-based questions. Investigate why a method works, why a topic matters, and how it connects to material you have already learned.
• Create challenging questions. Once you have a solid grasp of a topic, create your own questions. This can be useful when revision materials are limited or when you want to test whether your understanding is robust.

How to Revise for Maths

1. Start with untimed practice. Establish whether you can solve questions accurately without time pressure, and use this stage to identify content weaknesses.
2. Address weak areas. When needed, step back from practice and review the concepts behind questions you struggled with.
3. Move on to timed practice. Once you can handle the content, use timed questions to test whether you can maintain accuracy at speed.
4. Save full practice tests and exams for later. Use them to simulate the test experience rather than as your main way of learning. They can help assess time management, concentration, focus, anxiety, and performance on a random selection of questions.
5. Use practice exams carefully. They are valuable resources, so avoid using them before you have built and reviewed your knowledge. After some time has passed, retrying a question you got wrong can be helpful—particularly if you no longer remember the solution.

Formula Sheets and Notes

• A formula sheet crowded with worked examples and question templates may indicate that the underlying concepts are not secure.
• Use the sheet mainly for information that genuinely needs memorizing, such as certain definitions or formulas.
• Avoid relying on specific example types appearing in the exam. The goal is to know how to apply ideas across many possible questions.

Speakers and Sources Featured

• Archer: The video’s sole speaker, who discusses his experience studying Year 12 maths and tutoring maths.
• Kolb’s experiential learning cycle: The learning framework discussed by the speaker.
• Bloom’s taxonomy: Briefly mentioned in connection with creating challenging problems.