I'm 16 and quite a late-start in math. I was home-schooled for a while and just got interested in math recently. I would like to make a footprint in the field of mathematics when I'm older and would like to know my logical next path for achieving that goal. Currently I am using the Art of Problem Solving's Intro to Algebra and Intermediate Algebra. During my winter break I plan to go on to Counting & Probability and then the Introduction to Number Theory, and when I get the time I will finish their Intro to Geometry. I have no experience prior to Algebra in homeschool as I didn't study much math in homeschool between grades 3-8. My current prior experience includes Algebra 1 and 2, and Intermediate Algebra in college. The reason I am using the AoPS books is because I feel lied to from my school because I thought I was doing well, and then I look onto problems like the IMO, AMC 8, 10,12 and I have no clue where to start. This is why I would like to begin studying math, intensively. Thank you all
2026-02-22 19:47:17.1771789637
Steps to Studying in Math
151 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in ALGEBRA-PRECALCULUS
- How to show that $k < m_1+2$?
- What are the functions satisfying $f\left(2\sum_{i=0}^{\infty}\frac{a_i}{3^i}\right)=\sum_{i=0}^{\infty}\frac{a_i}{2^i}$
- Finding the value of cot 142.5°
- Why is the following $\frac{3^n}{3^{n+1}}$ equal to $\frac{1}{3}$?
- Extracting the S from formula
- Using trigonometric identities to simply the following expression $\tan\frac{\pi}{5} + 2\tan\frac{2\pi}{5}+ 4\cot\frac{4\pi}{5}=\cot\frac{\pi}{5}$
- Solving an equation involving binomial coefficients
- Is division inherently the last operation when using fraction notation or is the order of operation always PEMDAS?
- How is $\frac{\left(2\left(n+1\right)\right)!}{\left(n+1\right)!}\cdot \frac{n!}{\left(2n\right)!}$ simplified like that?
- How to solve algebraic equation
Related Questions in CAREER-DEVELOPMENT
- Online resources for networking and creating new mathematical collaborations
- Where to study category theory?
- What kind of side work can math professors (researchers) do for extra income?
- Steps to Studying in Math
- Roadmap to be a good mathematician
- Is pursuing a maths degree right for me?
- Graduate School (Can I be a Mathematician?)
- General Advice on choosing Mathematics as career path
- Reading material for mathematical applications in physics and engineering
- Mathematics teaching positions in the UK
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
Yup. AOPS is a good start. Their website also has a forum like this one that you can use to ask and answer questions I believe.
Math is a big topic. You may use the texts you reference above to explore Number theory, Probablity, Algebra, etc. But the real issue is that there isn't really a "right" path to learning math. Study the things that you find interesting. Take those interests seriously. When you have a number theory puzzle you are curious about: document the question. Sit with a few days. Try and solve it. Can't? See if the Aops text on number theory is a rewarding resource. If it is: great. It isn't? Document the question again on the AOPS website. Can they help? No? Ask the question again here.
Here is the issue: no one can tell you that you should study X then Y then Z. Educators will tell you that but honestly they don't know that studying differential equations will be more relevant to your life than studying discrete structures. My point is you should study the things that make you happy and worry less about "making a footprint" or being confident that you are the same level as students who are taking the AMC 8,10,12. These are quiet enjoyable/challenging puzzles that one can look at. It should be noted that work of mathematics discovery and solving a challenging puzzle on a timed test are connected only in a very superficial way.
I think your school may be communicating to you that are you doing fine in math... because you are doing fine in math. It is not their job to supply you with all the resources for you to do the things you want to do... Want to study number theory? Go for it.