how to study MATH EFFECTIVELY | get STRAIGHT A's in exams
Summary
TLDRIn this video, the host shares personal tips for excelling in math, emphasizing the importance of understanding concepts over mere memorization. They discuss the necessity of mastering foundational knowledge to tackle more complex problems in algebra, calculus, and other math branches. The host advises consistent practice, using resources like textbooks and online questions, and understanding solutions to enhance learning. They stress breaking down problems and foundational concepts, encouraging viewers to seek help from teachers and utilize available resources to improve their math skills. The video aims to help viewers achieve better grades by focusing on comprehension and practice.
Takeaways
- 🧠 Understanding is Key: The speaker emphasizes the importance of truly understanding math concepts rather than just memorizing them.
- 🏗️ Building a Strong Foundation: The script suggests that a solid base in fundamental math concepts is crucial for tackling more complex problems.
- 🔍 Deep Dive into Algebra: The video focuses on the need to comprehend algebraic expressions and the process of isolating variables to solve equations.
- 📚 Utilize Textbooks: It is recommended to use textbooks for practice, especially the initial questions in chapters that lay the groundwork for more complex topics.
- 🤯 Breaking Down Complex Problems: When faced with difficult questions, breaking them down into simpler parts and applying basic knowledge is advised.
- 📉 The Importance of Basics in All Math Branches: The script highlights that a basic understanding is essential across all areas of mathematics, including calculus and geometry.
- 🚫 Avoid Memorization: The speaker warns against merely memorizing solutions and instead encourages understanding the underlying principles.
- 📈 Practice Makes Perfect: Consistent practice is stressed as a way to improve in math and to develop muscle memory for problem-solving.
- 🔎 Seek Help When Stuck: If a problem is too challenging, it's suggested to look at solutions to understand them, rather than spending excessive time on one question.
- 🌐 Online Resources: The video mentions using online resources and teachers for additional practice questions and to check understanding.
- 🛎️ Importance of Feedback: The script suggests getting feedback on practice work, either from teachers or by using answer keys, to ensure correct understanding.
Q & A
Why does the speaker feel the need to clarify their proficiency in math is not solely due to their ethnicity?
-The speaker feels the need to clarify this because they have experienced people attributing their math skills to their Asian heritage rather than the effort they put into understanding and learning math.
What is the primary focus of the speaker's tips for understanding math?
-The primary focus is on the importance of truly understanding the foundational concepts of math, rather than just memorizing formulas or procedures.
Why is understanding the 'why' behind mathematical operations important according to the speaker?
-Understanding the 'why' is important because it allows one to apply mathematical concepts flexibly and solve a variety of problems, not just those they have memorized.
What analogy does the speaker use to explain the importance of a strong foundation in math?
-The speaker uses the analogy of a building, stating that without a strong foundation, the building will not stand, similarly, without understanding the basics, one cannot excel in math.
How does the speaker suggest dealing with difficult algebraic questions during an exam?
-The speaker suggests breaking down the problem and applying foundational algebraic knowledge to simplify and solve the problem step by step.
What is the speaker's advice on how to approach practicing math problems?
-The speaker advises to practice consistently, starting with the basics, and to use solutions as a guide to understand the process if one gets stuck.
Why is it beneficial to write down equations and place them at the front of your reference?
-Writing down equations helps to reinforce the foundational concepts and serves as a quick reference for understanding and solving problems.
What should one do if they encounter a challenging question while studying for a math exam?
-One should attempt the question, and if unable to solve it, look at the solutions to understand the process, ensuring not to just memorize but to comprehend the solution.
How does the speaker emphasize the universality of math?
-The speaker emphasizes the universality of math by stating that it is a language that everyone understands, implying that math concepts are consistent and recognizable across different cultures and regions.
What is the speaker's view on the relationship between practice and understanding in math?
-The speaker believes that consistent practice leads to muscle memory and a deeper understanding of math concepts, making problem-solving more intuitive.
What is the speaker's recommendation for students who are pressed for time before an exam?
-The speaker recommends focusing on understanding the basic laws and concepts of the subject, as this foundational knowledge can still help secure some marks even if the rest of the content is not fully learned.
Outlines
📚 Understanding the Fundamentals of Math
The speaker emphasizes the importance of truly understanding the basics of math rather than just memorizing formulas. They share personal experiences of excelling in math due to self-teaching and comprehension rather than racial stereotypes. The video aims to provide tips for grasping mathematical concepts, starting with the foundation and building upon it. The speaker uses the analogy of a building's foundation to explain the necessity of a strong base for advanced topics. They suggest writing down equations and practicing foundational problems from textbooks to reinforce understanding. The summary also touches on the importance of tackling difficult problems by breaking them down and applying foundational knowledge, which is applicable across all areas of mathematics.
🧠 The Power of Practice in Mastering Math
Mindmap
Keywords
💡Math
💡Memorizing
💡Understanding
💡Algebra
💡Foundation
💡Variable
💡Simultaneous Equations
💡Quadratics
💡Practice
💡Derivatives
💡Efficiency
Highlights
The speaker emphasizes that their math skills are not due to ethnicity but self-taught understanding.
The importance of understanding math concepts over mere memorization is stressed.
The analogy of a child's times table chart to explain the difference between memorization and understanding.
The concept that algebraic variables can change and understanding this variability is crucial.
The foundational knowledge in math is compared to the base of a building, essential for stability and growth.
The necessity to understand basic algebraic expressions to progress in more complex topics.
The strategy of writing down and practicing equations to solidify understanding.
Using textbook questions as a starting point for learning and practicing math topics.
The scenario of encountering a difficult algebraic question during an exam and the approach to tackle it.
The advice to break down complex problems into simpler parts to understand and solve them.
The speaker's personal experience and tips for dealing with challenging math questions.
The principle that understanding fundamental concepts applies to all branches of math, including calculus and geometry.
The recommendation to learn basic laws in subjects like calculus even when short on time.
The old adage 'practice makes perfect' is applied to math and the importance of consistent practice.
The suggestion to use solutions to understand difficult questions and not just memorize them.
The idea of approaching teachers or using online resources for additional math practice questions.
The importance of having an answer key for practice questions to check understanding and correctness.
The final encouragement for viewers to engage with the content, subscribe, and follow for more educational videos.
Transcripts
now throughout my years of Uni and High School math has always been one of my
strongest subjects however whenever I get a good grade on a math test people are like oh
my god it must be because you're Asian... um that's not true... mostly it's because
growing up I taught myself to understand math and today I'm going to share with
you some of my tips so you can understand math as well and get a pluses on every exam
hey guys welcome back to my channel and today we are going to talk about
math and how to study it math is everyone's favourite subject
I lied and likewise with math time is of the
essence so I'm going to get straight into the first tip
so with math memorizing is one thing but understanding is the next level of things
because 2 x 2 = 4 but do you understand why it equals 4 or do you just remember from that
childhood times table chart that every kid had in the back of their bathroom door for some reason
or every Primary School had it as well same with algebra like if you remember that x = 2 for one of
the questions that doesn't necessarily mean that you understand every algebraic question because
in every algebraic expression X isn't always going to equal two and the variable isn't always going
to be X either it could be A it could be B it could be C XYZ blah blah blah blah blah now
this is why you might not understand what's going on because often with math one concept
that base foundation links to everything else that you will be taught in that topic because
without a foundation you can't excel and you can't build on top of it it's like a building
if you don't have that foundation it just topples down and it *extra noise* explodes because you're
not going to be able to answer the question now in algebraic terms if you don't understand the basic
algebraic expression like let's say 10 = 2x + 5 how are you going to get the answer for that if
you don't understand the fact that you need to get X by itself and when you move on to harder topics
in algebra such as simultaneous equations where you have two or two or more variables that you
don't know or if you move on to quadratics where you need to understand the quadratic formula and
also the idea of like factorization and stuff like that you're not going to be able to do it
because you don't understand that base concept of getting an unknown variable by itself so you
can find the answer so your best bet with maths is to truly understand the basics like even if
it means that you're a little bit behind your class understanding the basics will set you up
to at least get a few marks even if you don't learn the rest of the content so long as you
have that foundation you're bound to get a few more marks and even if it means you might have
to put a bit of extra hours into studying or a bit more effort into studying you'll still be able to
excel so long as you learn the foundation and the best way to understand the basics is if you have
equations and stuff like that write them down put them at the front of your reference and then you
can do some questions so the best place to find questions is in your textbook if you have one
and go to the chapter that concerns you and do the first few questions because usually the first few
questions of a textbook chapter is the foundation the basics basically getting you comfortable with
that topic that you're learning and then you can move on to the other questions okay now
picture this you're in a test or exam room and you're going through the questions you smashed
out most of the questions you're halfway through the exam and it's been really easy so far smooth
sailing because you understand the foundation and then boom you hit with a hard algebraic question
a simultaneous equation but you don't know how to do this because you've only spent your time
studying how to do single equations where you just have to find one variable so what
you should what should you do now what do what do you do you're stressing out you're about to
start crying what should you do you need to break everything down I'm sure you've heard
this a lot but breaking it down is the B all or end all of this question and you're looking at
it I'm like how the hell am I supposed to find two variables and why am I given two equations
oh stress oh my god stress oh my god
well think about it you go to to your go to your base algebraic knowledge you're you need
to understand what you're being asked first you're asked to find X and Y well if I use my algebraic
knowledge I can probably still try to get X by itself like what can I do with this well maybe
I can put it into the second equation oh look at that there's no more X variables now in the
second equation it's just y so maybe I can get y by itself now and then after you find y you can
put it back into equation one and you're like hey I can find X wow so amazing and yeah like
even if you don't do all of this you're still bound to get one or two marks for that because
you're still showing that foundational algebraic knowledge and you're still showing some sort of
understanding of the fact that you should should be getting an unknown variable by itself now this
rule of breaking things down and this rule of understanding fundamental concepts applies to
all branches of math calculus geometry Etc like with Calculus for example if you don't understand
the basic laws of derivatives or anti-derivatives there's a very high chance that you're not going
to be able to understand the rest of the calculus topics that you're doing which is why it is so
important to have that base ground for yourself even if you don't learn the rest of the subject
as I said earlier you're still bound to get a few marks because of your base understanding of
calculus I wouldn't recommend that but if you are really stretched on time and it's one day before
your exam and you haven't studied one bit just try to learn the law basic laws and you should
still be able to apply some of that knowledge to even holler questions as well now as all
the oldies say practice makes perfect with math and many problem-based subjects such as segments
of chemistry and physics practice practice practice you will get good at the subject if you
consistently practice expose yourself to that good old vitamin M M is for math if in case you didn't
assume that already like if you consistently practice math the questions will become muscle
memory for you even if there are different values different numbers and different things you have to
find you will be able to find it because you understand all of them unfortunately I just
have to say it straight up you need to do the questions even if it's a challenging questions
you have to do them I have said this in my how to study smart video which should show up here or in
the description but to practice I recommend you do do the question first look at the solutions you
if you want to study efficiently you don't want to spend too much time on one question because
there are like an abundance of other questions so if you can't understand it do it with the
help of the solutions and try to understand those Solutions you need to look at the solutions and
understand it otherwise it'll just get to the point where you're just memorizing questions
again and you don't want to do that you want to understand the question not memorize them if you
want more practice questions than what the course already provides you approach your teacher or use
Google as I said earlier there will be heaps of questions online because as I said math is
a universal language that everyone understands now if you should make sure that there is a good
answer key in the in under the questions because you want to be able to see the solutions basically
and if there isn't an answer key and you still want to do the questions you can approach your
teacher to mark the questions whether or not you did it right now I hope this video helped you guys
in some way check out my socials and don't forget to like and subscribe and click the notification
Bell so you are notified every Friday when I release a video and I'll see you in the next one
k bye
mmm she a devil she a bad little b**** she a rebel
she put the foot to the pedal it'll take a whole lot for me to settle
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