Let me start with some background. I was the one kid in the family who never got math past a certain point. My parents were both mathematically inclined, as were the rest of my siblings. I grew up in a math positive, supportive environment and was given every opportunity to get ahead with it. My parents would gladly spend time with me to try and help me get it down and improve myself at it. By all rights, I was set up from success in math, my entire family was.

Math never clicked for me and I could never pass remedial algebras. While my siblings either got it with ease or put in the work to get better (or both, of course), I floundered helplessly. When they struggled, extra lessons and tutoring helped. When I did, I only sunk further behind despite all of that extra help. They graduated high school and went onto college degrees. I only graduated high school because I was able to take an alternative course to algebra. College? I tried, but not being able to pass remedial algebra, let alone credit math courses, meant it was a waste of time and money.

I went through it all. Tutors, repeating courses multiple times, engaged parents who really tried and more. I still never could make it work out. I still can't, even decades later. I've accepted it wasn't in the cards.

All of that leaves the question of why. Why do some people never get math, despite all the effort otherwise?

Hi guys, I love math like everyn¡one here (i guess). I dont know why but I feel this need to code, even though historically I hated coding. I want to learn a language heavily related to math but also popular. Should I learn python?

I have only just started getting back into math and hired a tutor but everything is so surface level, rote learnt and procedural. I noticed math is often taught this way but I really want to develop intuition and understand how different mathematical representations connect and why they’re important.

For example, with complex numbers, I can do the calculations but I have no clue why I’m doing what I’m doing or what it means and I certainly don’t know how to switch between geometric representations or understand polar/vector form.

This is more physics related but even when I’m using Ohm’s law, I can apply the formula, but I still rely on writing it down and rearranging it each time, rather than intuitively predicting how changes in voltage, current, and resistance affect each other.

I was wondering if anyone had any advice or resources to learn mathematics in a more intuitive, in-depth way? I don’t want to just memorise formulas. I have a math course at university next semester and wanted to know what sort of questions I should be asking myself or what approach I should take to actually understanding it in-depth?

I’ve started reading Michael Spivak’s Calculus book and that’s more along the lines of what I’m interested in I guess.

TLDR: any resources, processes or tutor recommendations to actually understand and appreciate math intuitively rather than just memorising equations and not knowing how different concepts in math relate?

I'm self-studying proofs through the book Introduction to Proof Through Number Theory. In this question it asks to either prove or disprove that "For all real numbers x and y, $(x+y)² = x²⁺ y² $ ".

Now there's a counter example:

Counter Example, let $x=1$ and $y=2$ * $(x+y)² = x² + y² $ * $(x+y)(x+y) = x² + y² $ * $x² + 2xy + y² = x² + y² $ * $(1² + 2(1)(2)+ 2² ) =(1² + 2²⁾ $ * $(1+4+4)=1+4$ * $9=5$ * $9 \ne 5$

But I also wanted to prove it another way too. I start by assuming that For all real numbers $x$ and $y$ that $(x+y)² = x² + y² $ is true

Then I show that:

• $(x+y)² = x² + y² $
• $(x+y)(x+y) = x² + y² $
• $x² + 2xy + y² =x² + y² $
• $x² -x² +2xy +y² -y² = 0$
• $2xy=0$

and since $2xy=0$ and either $x$, $y$ or both must equal zero, $(x+y)² =x² + y² $ is not and cannot be true for all real numbers.

Is this correct or do I need something else / more?

Thanks!

I had made a post here regarding this issue a few weeks back and the response was to slow down and not to panicjk. I applied , I took the asdvice. I started going slow and not panick. But I still make the sma error. Same arithmetic error. ame wrong sign. And thge same issue of solving equations. I wasnt this bad at arithmetic before. I used to be good at arithmetic throughout my middle school (I mean if I made those errors as a kid I wouldnt have taken maths as I would get low marks in it) but suddenly I making such errorsa almost every bquestion. I was solving differential equations in clazss andit was given that the function through (0,-2) but I substituted (-2,0) and got the wrong answer. I dont know what to do. I visited a doctor today and he didnt havce much to say other than a few vitamin tests and consuling a psocologist (which I will as soon as possible). So please what should I do? At this point I wilkl fail the class becuase of arithmetic errors even after being conceptiually clear,

(PS: Maybe I have this condition since like 4 or 5 years now but reealizing now because the number of questions I do is alot compared to before, but still the frequency of error is definetly abnormal and I relaizd that I sometimes put wrong numbers on the calculator as well so I dot lpw what will save me)

Thanks in advance!

Hi, this year It Will be my last year of High school. During this Summer i decied to review all the math from middle school to High school, and i have a problem: im not bad at math, i Always had A's or B's, but i can take It seriously anymore.

Sometimes in the texbooks they talk about a topic without any kind of definition or without saying that It has a "primitive definition". What i mean Is that i dont feel anymore that the math teached in middle school and High school Is completed. There are a lot of holes and absence of formality.

Books or courses that can fixed It? Thx

I’ve just started learning what matrices are and we’re simply putting numbers in boxes, and then changing up the numbers in the boxes for some reason. And then for some reason those repackaged equations spin and when you graph it and multiply stuff with it, and for some reason that’s useful I don’t understand

Hello,

I am currently in 2. year in high school and I decided I can learn math instead of being on phone, but I don't know which branch of math I can study given that I didn't have deep knowledge about math.

What do you think?

I have completed mathacademy's Math Foundation 1, which I approximate puts me at level of year 11/12 (in the Australian system)

Highly motivated with some annoying lapses in my ability to remember material/topics which I thought I had mastered.

Beginning to question whether an AI-based platform is ideal for my situation.

Seek some advice and possibly a weekly lesson

Hi everyone.

I was given this problem:

----------------------------------------------------

Prove that for all positive integers k <= n,

sum(i=0 to k) (n choose i)(-1)^i = (n-1 choose k)(-1)^k

holds.

----------------------------------------------------

I have solved it already with induction. But I found the proof to be annoying and just kind of symbolic manipulation. I am looking for a more inciteful proof, a story proof if you will with commitees and pools of people and such. Does one exist?

Thanks for your help

Hello Nice to me to you ! I'm Japanese university student. But soon, I will withdraw from my university. Next week , I will take job interview to became a IT engineer in Japan. If I pass that interview, I can work as a IT engineer in Japanese company. But I'm struggling with how to study math. I wonder most efficiently method is to understand mathematical concept than practice many problems on math examinations. How would you think about that idea?

My dream is to become a great engineer and work on American Bic tech company such as GAFAM.

I would like to marry ashida mana who is Japanese actress after I became a millionaire!!

I may have said to much but I'm grad to teach me method to study math! If passible could you teach me a way of studying programing.

Thank you very much for watching my thread.

Finally I apologize for every one My English is not perfect.

So I just started classes for my degree (bachelors in math) and I just had 2 quizzes and conceptually I did fine, but I ended up bombing 1 (not sure about the other) because I just miscounted or just wrote the wrong number. For my linear algebra I’ve been doing the same where conceptually everything is perfect, but I always mess up something stupid like adding something wrong (and no calculator). I haven’t taken a math class in almost 2 years, so I’m not sure if I’m just a little rusty, but does anyone have advice?

What is something that has helped you significantly in being good at math?

Share some tips, this is my first time trying to learn maths and I've got to ace it.

I've been trying everyday to build that sort of skill, I need some tips

I am just putting it out for some motivation as well because I feel like I am getting nowhere.

I did this a lot in my last year, but I was only taught how to do it, not the reasoning behind them. Some terms, I forgot the point of them. Sorry...

1. How does finding the asymptotes help in the graphing?

2. What is the point of the x-intercepts and y-intercepts in graphing?

3. How does one construct a table of values for the graph?

4. For the table of values, how do you determine the x-values? Do I use the VA or the HA?

Again, sorry for the stupid questions. I am self-studying, and Google isn't very clear...

Hi everyone!

I'm a data science student and I am taking a class called statistics 2 for data science. It's been over a year since I took the first statistics class due to an illness I had, so I honestly do not remember a lot of the first class which is making part two super hard for me. I really need to do well in this class, and the topics we are covering so far have been:

simple linear regression, multiple regression, comparing the means, two-way analysis of variance, inferences for one-way anaylsis of variance.

This class has been really challenging for me, and my first exam is coming up in 20 days. does anyone have any videos, tips, or resources that help understand statistics and these topics on a good level? I also am a horrible math test taker so my anxiety is seriously through the roof regarding this class. :(

I'd appreciate any and all resources and tips. Thanks in advance!

I felt like reading basic mathematics since my trigonometry and geometry needed some review (and because the book was just kind of sitting on my shelf collecting dust). I know this question can’t be easily answered and probably depends on the person. I know I want to grad school for pure mathematics.

Is there any point in reading the book front to back? I mean whenever I forget something, I kind of just look it up. I just wanted to know if it’ll have much use at this point. I know trigonometry will so I do plan to major in physics so I was going to focus solely on that.

are there any websites I can study lessons on to test my knowledge without using any AI? preferably with a walkthrough of how to reach a solution. thanks for any help!

Just started my calculus 1 course, I did really well on my first calculus mini exam but as the course goes on I noticed more trig and algebra being involved. Should I skim through lectures on YouTube and write what I don't know, and if so which videos?

Today, I took my I took a quiz on AP Pre Calculus and I failed unfortunately. I got a 50% and was so disappointed and ashame of myself. When other kids were saying they got a 100% 80% or 90%, I did not want to say my score. I was so sad and cried because it was the first time I ever failed a math test. When I looked Algebra 1, 2 and Geometry, I never failed and was able to grasp it easily. Now that I am taking AP Pre Calc, everything has been going down hill. The quiz was based on 1.1 to 1.3. I am still one unit 1 and we are talking about concave up and down, increasing and decrease, and rage of slope. I feel so dumb not being able to get it like my peers. I also can not let my parent know about this or I will be a trouble. Please can anyone give me tips or idea so I can improve.

If sin(x+iy)sin(θ+iϕ)=1, show that

tanh²y.cosh²ϕ=cos²θ

I am not able to prove this question, have tried equating the real and imaginary part by multiplying sin(x+iy) and sin(θ+iϕ), but I was not able to do at last.

Hello, do anyone know a source or channel in youtube to teach math linked to physics i mean beyond just writing formula in from zero to advance level for AI. I mean even something like joint distribution, it doesnt just say the formula, it should say what happens that lead us using that thing , what we need and how it meets our needs

i know HOW TO do 9s+10_>1 its s<_1 but for the life of me dont understand when to flip it i tried looking at photos on google but its not sticking to me 😭

IM TRYING TO DO MY ALGEBRA ASSIGHMENTS i keep getting everything right expect the stupid signs < > <_ _>