Stop Trying to Understand Math, Do THIS Instead

The Math Sorcerer
29 Oct 202105:21
EducationalLearning
32 Likes 10 Comments

TLDRThe transcript emphasizes the importance of managing time effectively when tackling mathematical problems. It advises learners to accept that not understanding everything is normal and encourages strategic prioritization. The speaker shares personal experiences, including the advice from an Argentinean advisor to not get stuck on a single problem. The transcript suggests practical steps for overcoming confusion, such as taking a walk, shifting to a different mathematical topic, and acknowledging that everyone struggles with learning. It concludes by highlighting the beauty and interconnectedness of mathematics, and the sense of fulfillment that comes from understanding and teaching it, which is only achieved through hard work.

Takeaways
  • πŸ™Œ Don't be afraid to ask questions in class, even if the answer initially doesn't make sense.
  • πŸ” If you can't find the answer through online search or your teacher's response, it's okay to move on.
  • ⏳ Prioritize your time wisely; don't spend too much time on a single problem.
  • 🌐 The internet can be a helpful resource when you're stuck, but it's not always the answer.
  • πŸ€” Accept that there will be times when you won't understand something, and that's normal.
  • 🚫 Avoid getting stuck on a problem with a typo or error; it's not worth losing valuable time over.
  • πŸ§˜β€β™‚οΈ Sometimes, stepping away from the problem and focusing on something else can help clear your mind.
  • πŸšΆβ€β™‚οΈ Taking a walk can help you reset and come back to the problem with a fresh perspective.
  • πŸ”„ Switching to a completely different topic or area of study can provide a mental break and may indirectly help with the original problem.
  • πŸ€·β€β™€οΈ It's okay to be stuck; everyone experiences difficulty when learning complex subjects like math.
  • πŸ’‘ Recognize the beauty and interconnectedness of math, and understand that understanding and teaching it comes with hard work and personal fulfillment.
Q & A
  • What should one do when they don't understand something in class?

    -If you don't understand something in class, you should raise your hand and ask the teacher. If the response is still unclear, you can try looking up the topic online or email your teacher for further clarification.

  • Why is it important to manage time effectively when studying mathematics?

    -Managing time effectively is crucial because it allows you to prioritize your efforts and not get stuck on a single problem for too long. This prevents wasting time on issues that may be trivial, such as typos, and ensures you can progress in your studies.

  • What was the advice given by the speaker's advisor?

    -The speaker's advisor advised them to manage their time wisely and not to spend too much time on any one particular problem, emphasizing the importance of strategic time management in academic success.

  • Why is it sometimes beneficial to accept that you might not understand a concept immediately?

    -Accepting that you might not understand a concept immediately allows you to prioritize your time and focus on other areas of study. It's about being strategic with your learning and knowing when to move on to prevent frustration and stagnation.

  • What does the speaker suggest doing when you're stuck on a math problem?

    -The speaker suggests taking a walk to clear your mind, moving on to a completely different subject or area of study, and recognizing that it's normal to get stuck and that everyone finds math challenging.

  • How can taking a walk help when you're stuck on a math problem?

    -Taking a walk can help by allowing your mind to relax and your thoughts to wander. It provides a physical change of scenery, fresh air, and a chance for your subconscious to work on the problem, often leading to new insights upon returning to the problem.

  • What is the benefit of working on a different area of mathematics when you're stuck?

    -Working on a different area of mathematics can provide a mental break from the problem you're stuck on. It also helps maintain your interest and engagement with the subject, and you might even find insights that can be applied to the problem you were initially struggling with.

  • Why is it important to realize that everyone struggles with learning, especially in a subject like math?

    -Realizing that everyone struggles with learning, including those who are brilliant, helps to normalize the experience of difficulty and can reduce feelings of frustration or inadequacy. It fosters a sense of shared experience and encourages perseverance.

  • What does the speaker mean when they say that mathematics is interconnected?

    -The speaker is referring to the way different areas of mathematics are related and can inform one another. Understanding one concept or solving one problem can provide insights into other areas, contributing to a deeper and more comprehensive understanding of the subject.

  • What is the key to personal fulfillment in mathematics, according to the speaker?

    -The key to personal fulfillment in mathematics is the satisfaction that comes from understanding complex concepts and being able to explain them to others. This fulfillment is achieved through hard work and the overcoming of challenges.

  • Why does the speaker get goosebumps thinking about mathematics?

    -The speaker gets goosebumps because they find mathematics to be truly beautiful, especially when considering its interconnectedness and the sense of achievement that comes from understanding and explaining its concepts.

Outlines
00:00
πŸ€” Overcoming Math Confusion

The first paragraph emphasizes the importance of managing time effectively when studying mathematics. It discusses the common experience of encountering a problem that doesn't make sense, the frustration of not finding answers online or from a teacher, and the realization that sometimes it's necessary to accept that not all problems will be immediately solvable. The speaker shares a personal anecdote about getting stuck on a problem with a typo, which cost valuable time. The advice given is to prioritize time, strategically give up on unsolvable problems, and focus on other areas of study. The benefits of walking and switching to a different subject to clear the mind are also highlighted.

05:00
πŸ“š The Beauty and Challenge of Math

The second paragraph focuses on the inherent difficulty of mathematics and the personal satisfaction that comes from understanding and explaining mathematical concepts. It acknowledges that the sense of achievement in math is the result of hard work and that the beauty of the subject is revealed through persistent study. The speaker expresses a deep appreciation for the interconnectedness of mathematical concepts and encourages viewers to embrace the struggle as part of the learning process.

Mindmap
Keywords
πŸ’‘understand
The term 'understand' refers to the mental grasp or comprehension of a concept or information. In the video's theme, it is central to the idea that students often face difficulties in grasping mathematical concepts. The script mentions the struggle to understand during class and the frustration that comes with not getting a satisfactory response, such as when the response 'makes no sense at all'.
πŸ’‘google
'Google' is used in the script to represent the act of seeking information online, a common approach when one does not understand a concept and is looking for additional resources. The speaker mentions 'going on the internet' and 'typing it on google' to illustrate the process of trying to find answers independently when traditional classroom methods fail.
πŸ’‘email
In the context of the video, 'email' is presented as another method of seeking help, specifically from a teacher. The script describes a scenario where the student emails their teacher for clarification but does not receive a helpful response, highlighting the challenges in getting assistance when one is stuck.
πŸ’‘prioritize
'Prioritize' means to arrange tasks or issues in order of importance. The video emphasizes the importance of prioritizing time and not getting stuck on a single problem, as illustrated by the speaker's experience of wasting time on a problem with a typo. This concept is key to the video's message about efficient learning.
πŸ’‘strategically
The term 'strategically' is used to describe a planned and thoughtful approach to managing one's efforts and resources. In the script, it is mentioned in the context of 'giving up strategically' when faced with a problem that is not understood, suggesting a smart way to allocate time and energy.
πŸ’‘advisor
An 'advisor' is someone who provides guidance or advice, often in an academic or professional setting. The script mentions the speaker's advisor, a brilliant mathematician, who imparts valuable advice on time management, which the speaker later acknowledges as crucial.
πŸ’‘focus
'Focus' refers to the act of concentrating one's attention on a particular object or activity. The video suggests that when students don't understand something, they should mentally 'focus on something else' to avoid getting stuck. This is part of the broader strategy for overcoming learning obstacles.
πŸ’‘self-study
Self-study is the process of learning independently, without formal instruction. The script praises self-study for allowing individuals to choose what and how they learn, which can be particularly beneficial when one is struggling with a concept in a formal educational setting.
πŸ’‘interconnected
The term 'interconnected' suggests that elements are linked or related in a complex way. In the context of the video, it is used to describe the beauty of mathematics, indicating that understanding one concept can lead to insights in other areas, reinforcing the idea that learning is a holistic process.
πŸ’‘personal fulfillment
'Personal fulfillment' refers to a deep sense of satisfaction and achievement that comes from accomplishing a goal or overcoming a challenge. The video concludes by mentioning the 'personal fulfillment' that one gets from understanding and explaining math, emphasizing the rewarding nature of the learning process.
πŸ’‘goosebumps
The phrase 'getting goosebumps' is used metaphorically in the script to express a strong emotional response, such as awe or excitement. The speaker mentions 'getting goosebumps' when talking about the beauty of math, indicating a profound appreciation and emotional connection to the subject.
Highlights

The importance of not understanding everything in class and seeking help through various means.

The suggestion to use the internet and Google when faced with confusion in understanding.

The potential frustration of not receiving a helpful response from a teacher via email.

The advice to spend time on math problems rather than just trying to understand why.

The strategy of accepting that sometimes you won't understand a concept and prioritizing time effectively.

The anecdote about a grad school advisor from Argentina emphasizing time management.

The personal experience of wasting time on a problem with a typo due to not following advice.

The encouragement to let go and move on when stuck on a problem in mathematics.

The assertion that it's normal not to understand everything in math, as it's a challenging subject.

The idea that if math were easy, everyone would do it without formal education.

The emphasis on the hard work required by both brilliant and not-so-brilliant people in math.

The suggestion to focus on something else when you don't understand a concept in math.

The recommendation to take a walk to clear the mind when stuck on a math problem.

The strategy of moving on to a completely different area of study when faced with difficulty.

The realization that everyone struggles with learning and it's okay to be stuck.

The personal fulfillment and satisfaction that comes from understanding and explaining math.

The beauty and interconnectedness of math as a subject, and the hard work required to appreciate it.

Transcripts
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