The Magic Formula: How Many Hours of Math Daily?
Summary
TLDRThe speaker emphasizes the importance of daily math practice for developing discipline and mental sharpness. They suggest starting with a single problem daily to avoid burnout and decision paralysis. The speaker shares personal experiences and tips for maintaining a consistent study routine, highlighting the benefits of morning study sessions. They also briefly discusses various books on math, physics, and computer science, encouraging viewers to find a routine that works for them.
Takeaways
- 📚 The speaker emphasizes the importance of discipline in studying mathematics daily, rather than focusing on the quantity of hours spent.
- 🔄 The speaker suggests starting with the goal of doing at least one math problem every day to build a habit, rather than setting high expectations that could lead to burnout.
- 🚫 The speaker warns against decision paralysis, which can hinder starting a routine of daily math practice.
- 🧠 Mental strength and discipline are highlighted as key to maintaining a consistent study routine.
- 🏃♂️ The speaker recommends starting math practice early in the day to keep the concepts fresh in the mind throughout the day.
- 🌱 The speaker believes that doing math daily, even if it's just one problem, can lead to gradual progress and prevent cramming.
- 📈 The speaker shares personal experiences from graduate school, where doing a set number of proofs daily was challenging but helped in building discipline.
- 📖 The speaker mentions various books that cover different areas of study, including trading, physics, vector analysis, and computer science.
- 💡 The speaker encourages viewers to share their own study routines and how they maintain a daily math practice.
- 🔗 The speaker provides links to resources for learning more about math and offers courses on math sourcer.
Q & A
What is the main question the speaker addresses in the transcript?
-The main question addressed is how many hours a day one should dedicate to studying mathematics.
What was the speaker's personal goal when he was a graduate student?
-The speaker's personal goal was to complete 20 proofs a day.
Why did the speaker sometimes do easy proofs to meet his daily goal?
-The speaker did easy proofs to meet his daily goal to avoid burnout and to maintain consistency in his study routine.
What does the speaker suggest is the starting point for building a math study routine?
-The speaker suggests starting with the discipline of doing math every day.
What is the speaker's advice for getting started with daily math practice?
-The speaker advises telling oneself to do at least one math problem every single day.
Why does the speaker believe setting expectations too high can be detrimental?
-Setting expectations too high can lead to decision paralysis and breaking the routine, which can hinder consistency.
What does the speaker consider the best time to do math problems?
-The speaker believes the best time to do math problems is in the morning, right after waking up.
What is the speaker's opinion on the effectiveness of cramming for tests?
-The speaker thinks cramming is not as effective as gradual progress and can be detrimental to learning.
What is the title of the trading book mentioned by the speaker?
-The title of the trading book is 'High Probability Trading'.
What is the name of the free book on vector analysis recommended by the speaker?
-The name of the free book on vector analysis is 'Vector Analysis' by HB Phillips.
What is the speaker's final recommendation for maintaining a math study routine?
-The speaker's final recommendation is to commit to doing at least one math problem every day.
Outlines
📚 Consistent Daily Math Practice
The speaker discusses the importance of discipline in studying mathematics daily. They share their own experience as a student with a goal of completing 20 proofs a day, but found it challenging and resorted to easier problems to meet the goal. They emphasize that consistency is more important than the quantity of work done. The speaker suggests starting with the mindset of doing at least one math problem every day to build discipline, as opposed to setting high expectations that could lead to burnout. They also touch on the idea of decision paralysis and how it affects people from pursuing their goals, including in mathematics.
🌅 Morning Study for Effective Learning
The speaker advocates for morning study sessions as the best time for self-study, suggesting that starting the day with a math problem can lead to better retention and understanding throughout the day. They argue that this method is superior to cramming and can help build discipline. The speaker also shares a personal anecdote about a teacher who advised doing a little bit of math every day, which they now appreciate but did not follow at the time. They caution against setting expectations too high, recommending starting with the goal of doing at least one problem daily and then gradually increasing expectations without disrupting the routine.
📘 Book Recommendations for Math Enthusiasts
In the final paragraph, the speaker briefly mentions a few books they have on hand, including a trading book, a physics book for beginners, a free online book on vector analysis by HB Phillips, and a computer science book. They express their enthusiasm for these books and their belief in the value of diverse mathematical knowledge. The speaker also encourages viewers to share their own math study routines and to check out their courses on math sourcer for further learning.
Mindmap
Keywords
💡Mathematics
💡Discipline
💡Burnout
💡Self-study
💡Decision Paralysis
💡Mental Strength
💡Problem-solving
💡Productivity
💡Routine
💡External Motivation
💡Gradual Progress
Highlights
The ideal amount of daily mathematics study varies and should start with discipline.
Aiming for a certain number of problems daily can be challenging, especially in grad school.
The speaker used to do easy proofs to meet a daily goal of 20 proofs.
It's important to do math every day to build discipline, rather than focusing on quantity.
The real question should be how to get oneself to do math every day.
Starting with small goals like one problem per day can prevent burnout.
Discipline is key to doing math daily, and it's better to start small than not at all.
Decision paralysis can prevent people from starting their math studies.
Doing at least one math problem daily can lead to more productive days.
The mental aspect of committing to one problem daily can lead to consistent progress.
The speaker suggests not overthinking and just starting with one problem.
On days when one doesn't want to work, doing one problem can sometimes lead to productivity.
It's important to reflect on daily progress and ensure enough math problems are done.
External motivation like grades can help enforce discipline in school.
For self-study, discipline is crucial and can be built by starting with small goals.
The speaker recommends doing math in the morning after waking up.
Consistent daily math practice is better than cramming.
A teacher's advice to do a little bit every day is emphasized.
Setting expectations too high can be a barrier to starting a daily routine.
Doing math every day makes a significant difference in learning.
The speaker shares a personal anecdote about setting daily goals and their difficulty.
The speaker reviews a book called 'High Probability Trading' and its real-life experiences.
A recommendation for a physics book for beginners, 'Gianoli Physics'.
A free book on Vector analysis by HB Phillips is mentioned.
A computer science book 'Everything You Need to Ace Computer Science and Coding' is recommended.
The speaker encourages viewers to develop a routine of doing at least one math problem daily.
Transcripts
how many hours a day should you do
mathematics this is a question that
people always ask and it's a question
that I've always asked when I was a
student even when I was a grad student
when I was a grad student I did so much
math and I tried to do like a certain
number of problems every day I remember
I had a goal of I think it was 20 proofs
a day it was very hard to keep up it's
it's very hard to do 20 mathematical
proofs every single day especially when
you're in grad school so what I would do
is I would go back and I would do easy
proofs proofs that perhaps I've already
done just to hit that magic number of
20 you can you can do stuff like that
you can and it's good but you're going
to burn out you're you're going to burn
out so I think the right answer to the
question you how much math should you do
every day has to start from a different
place it has to start from a place of
discipline and that discipline is built
upon doing math every day so I think
instead of asking you know how much math
should you do every day the real
question should be how can I get myself
to do math every
day it's like that old saying you can't
learn to run until you learn to walk
the same thing with mathematics right
you're not going to be able to sit down
and do five hours of mathematics every
day if if you're not even doing
math and I think that it comes down to
decision
paralysis that is the thing that affects
most people in all areas of life I have
a lot of friends who have great
ideas and they don't do them I have
ideas and I don't do them but I try and
I'm aware of it and at least I do math
every single day every single day I do
mathematics every day no matter what I
do at least one problem keeps my mind
sharp and it's worth it it's worth it so
how can you get yourself to do math
every
day well I think the best way and this
is the way I do it this is why I think
it's the best way is to tell yourself
you're going to do at least one problem
every single day
because when you tell yourself you're
going to do at least one problem every
single day chances are you're going to
do it if you tell yourself oh I'm only
going to do 30 minutes that already is
creating perhaps some negativity in your
mind because maybe you wake up today and
you don't want to do any math at all
right zero so looking forward to the
prospect of having to do 30 minutes is a
very negative thing so it's all it's all
mental it's all up here if you can
control your mind everything else is
going to be great you just have to be
able to have a strong mind and math is
is one way to do that I think
mathematics I also think physical
activity both of those things are
extremely important and they'll help
your
mind so tell yourself you're going to do
at least one problem a day I think
that's that's a good way to do it and do
it right just do it don't overthink it
don't fall into the decision paralysis
trap of oh what type of math should I do
you know what math book should I use I
mean these aren't M math books actually
one's a computer science book one's a
math book one's a physics book and one's
a finance book so they're all different
um yeah all great books we'll talk about
those books later in this video maybe
but yeah at least one problem a day
that's the best way if you can get
yourself to do that then that's the
starting point and what's going to
happen when you do that is on those days
when you don't want to work on those
days when you don't want to do anything
and you do that one problem sometimes
those days will end up being productive
sometimes you just have to start and
once you start it's like it's like a
it's like a ball of ice rolling down a
hill like in the cartoons you know it
just gets bigger and bigger and bigger
the snowball just grows the farther it
goes a lot of times that's how it
happens with mathematics sometimes
you'll do one problem you'll be like no
oh I'm done I can't think today my mind
is in a fog I need to go do something
else and then you go do something else
but at least you did one problem you
want to look back on the end of every
single day and say did I do enough did I
do enough today to progress my life did
did you do enough math problems did you
train whatever it is you're doing in
your life whatever you're trying to do
did you do enough to progress for many
of you if you're in school it's pretty
easy well easier because you have this
external motivation you know the Spectre
of grades you know it's hovering over
you it's like you have to you have to
succeed you have grades to pressure you
that doesn't make it fun but it forces
discipline upon you but for many of you
self-study is the way and in order to
self-study you have to have discipline
it makes you stronger and I always think
that the morning is the best time you
know if if you do a problem right when
you wake up after you have coffee or
whatever just do just do a problem do an
integral whatever just do some math it's
going to stay with you for for the rest
of the day you know you'll be able to
look back later in the day and say Hey
Oh yeah I remember that that integration
problem I was doing you know earlier in
the day that yeah oh that was a really
interesting substitution or oh yeah I
remember using partial fractions to
solve that or maybe you did a proof oh
that was a really cool proof you know we
took the maximum of a finite set to
create an upper bound on the sequence or
you know
whatever those things those ideas that
you have in the math they stay with you
and you think about them and it gives
you time it lets your mind progress it's
much better than cramming that's why
they say cramming doesn't work I mean it
does work to an extent I've crammed for
so many tests I mean we all
procrastinate right
but cramming is not as good as like that
gradual progress at had a teacher as an
undergrad and he always used to say oh
just do a little bit every day he always
used to say that and I remember when he
said that I thought oh that's a great
idea but I never took his advice
I I never just did a little bit every
day why because I tend to be like most
people right so you have to kind of
break from that you kind of have to
build that discipline you know try to do
a little bit every day it it makes such
a difference and again I I think what
holds people back is they set
expectations that are too high so don't
set any expectations just set the
expectation of I'm going to do at least
one math problem once you can do that a
couple times then you can start having
you know higher expectation but be
careful right be careful because you
don't want to set them too high and you
don't want to break your routine you
want to make sure that you do it every
single day do math every day it it makes
such a difference makes such a
difference so that's all I wanted to say
in this video so let me show you these
books really quick I'll just talk about
them here so this is a
book it's called high probability
trading and I reviewed this book long
ago and I think
there was a YouTube user named Marcel
link and he posted on the video and I
thought whoa is it really him but I
don't think it's him I think it was just
someone else with the same name this is
a book about trading okay so um trading
is dangerous you know I'm not a
financial adviser all that stuff but
it's a good book because I feel like it
has some real life experiences and it's
worth it I'll leave links to these in
the description of this video in case
you want to check him out great physics
book for beginners fantastic book
gianoli physics
totally worth
it this one is free it's called Vector
analysis by HB
Phillips great book you just Google it
it's free on the internet it's uh it's
on Vector analysis it's got mathematics
that you need for electricity and
hydrodynamics that's that's what the
focus is so it's got all the math you
need for electricity and hydrodynamics
that's why he wrote the book HB Phillips
was a math professor at MIT and he was
the chair of the MIT math department for
several years years so and he wrote a
bunch of books almost all of them I
think perhaps are in the public domain
now because they're so old um the actual
physical books are hard to find but I'll
try to find some copies I probably won't
be able to find that many but I'll leave
the links in the description in case you
want to check them out it's a rare book
they're very rare I collect all his
books and then this one here is a great
book on computer science widely
available popular book it's a fun book
to get you uh into computer science it's
called everything you need to Ace
computer science and coding and one big
fat notebook but yeah I I think that
that um that's the best way to do math
is tell yourself you're going to do at
least one
problem what do you think what do you
think the best way is to get in a
routine of doing math every day what do
you do what's your self-study routine
how do you do it do you have a certain
number of problems you do is it is it
timed I'm interested what you think the
best way is also if you're interested in
learning more math check out my courses
on math sourcer
use the links on my website or in the
description of any of my videos you get
the lowest possible price I'm pretty
sure I'm pretty sure I set the price as
low as I could and every time I click on
one of my links it's like really low
it's even lower sometimes so I'm like
okay it's working you is weird with
their prices they have sales and stuff
and I don't know really how it works but
I know if you use my links please use
those math sourcer
docomo have an Instagram the real math
sourcer in case you want to follow me
there hopefully this video has helped
you and try to that routine right that's
the most important thing you should take
away from this video try to do at least
one problem a day good luck
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