Summary of Become good at Math in 9 mins: How to self-study Math easily
Summary of "Become good at Math in 9 mins: How to self-study Math easily"
Main Ideas and Concepts:
- The speaker, H, emphasizes the importance of self-studying math, sharing personal experiences from their time at Columbia University.
- The video outlines a structured framework for self-studying math effectively, which includes four key components: definitions, examples, knowledge gaps, and exercises.
- The speaker provides a step-by-step methodology for approaching math topics, encouraging engagement and practice to enhance understanding.
Step-by-Step Methodology for Self-Studying Math:
- Understanding Definitions:
- Start by reading the definitions of the math topic from a textbook.
- Highlight important definitions and try to grasp their meaning.
- Focus on how to use definitions rather than memorizing them.
- Working Through Examples:
- After understanding the definitions, read through examples that illustrate their application.
- Work through the examples step-by-step to see how the definitions are applied in practice.
- Relate definitions to practical uses, akin to learning how to use a tool.
- Filling Knowledge Gaps:
- If there are concepts or terms that are unclear while reading definitions or examples, look them up.
- Be specific in your searches to avoid being overwhelmed by information.
- Avoid getting sidetracked; mark areas of confusion to revisit later.
- Practicing Exercises:
- After understanding examples, attempt practice questions (10-20 per topic).
- Check answers against the answer key to learn from mistakes.
- Focus on the process of solving problems rather than just getting the correct answer.
- Spend the majority of study time on practice questions, as math requires active application.
- Memorization Techniques:
- Repeated practice will aid in memorizing definitions and theorems.
- Create a formula sheet to consolidate essential information and use it during practice.
- Dedicate time to write out formulas from memory to reinforce learning.
Conclusion:
The speaker encourages viewers to adopt this self-studying method and invites feedback on their experiences.
Speakers/Sources Featured:
- H (the speaker, a math student from Columbia University)
- Skillshare (mentioned as a learning resource)
Notable Quotes
— 00:41 — « I would say that math self-studying is the most important skill I learned after roughly 7,500 hours of studying math. »
— 02:18 — « A definition, a theorem, or rule is like a tool; just like you learn about cups, you not only learn about what the cup is and how it looks, but more importantly, you learn about the different ways to use it. »
— 07:27 — « Math is really about exercising your brain and actually applying all the definitions or theorems to solve problems. »
Category
Educational