Post with resources for studying mathematics, algebra, calculus and geometry content!
Studying math can be difficult for some, but it is not impossible and I want to share with you all the necessary resources to study the subjects you like! Whether for your projects, homework or exams. I would also like to share my study methods and tips and practices to improve in this subject. Personally, I was never good at anything that had to do with math, I always had a hard time with algebra and geometry and I spent long hours at school studying with help to be able to pass my exams, but then I understood that it is not that I am bad at this, but that I was simply giving it a different approach and I needed to understand it from another angle.
Intro
Mathematics is a fundamental skill that plays a crucial role in our daily lives and various fields such as science, engineering, finance, and technology. Whether you're a student, a professional, or simply someone who wants to improve their logical thinking, learning math can be both rewarding and challenging. In this guide, we will break down the best strategies and resources to help you learn math effectively.
Some may think that math is boring, however, studying math helps us find patterns and structure in our lives. In practice, math helps us price things, create graphs, build websites, build skyscrapers, and generally understand how things work or predict how they might change over time and under different conditions. Math is all about problem solving. Not only will you learn how to solve math problems, but the skills you develop while working on math functions will develop your problem solving skills in other ways!
The importance of math can be seen in hidden ways and in everyday use, all around us: computers, airplanes, body scanners, software, coding, and much more. Do you know what the golden ratio is? By studying math we discovered it and society was able to use it to our advantage: architects design buildings, scientists apply it to the recurring spiral arrangement of nature, and even artists use ratios in their artwork.
Where to start?
The best way to start learning math depends on your current skill level. Here are a few guidelines:
- Beginners: Start with basic arithmetic (addition, subtraction, multiplication, division) and gradually move to fractions, percentages, and decimals.
- Intermediate learners: Focus on algebra, geometry, and basic statistics. These topics lay the foundation for higher-level math.
- Advanced learners: If you have mastered the basics, move on to calculus, linear algebra, and differential equations.
It’s important to practice regularly and understand the concepts instead of just memorizing formulas. Think of math like a puzzle—enjoy the process of solving problems!
Study Resources
Choose the resources that best match your learning style and practice consistently to improve your mathematical skills!
- Khan Academy
- MathTV
- UKMathsTeacher
- ProfRobBob
- HippoCampus
- Professor Leonard
- IXL Learning
- Institute for Advanced Study
- 3Blue1Brown
- Numberphile
- Mathologer
- Large List of Recommended Books & Online Resources
- Brilliant
- Online Encyclopedia of Integer Sequences
- El Traductor de Ingeniería
- Carlos Hernández
- Demian Yael Vega
- MathPures
- r/math
- The Art of Problem Solving
- ¿Para qué sirven las matemáticas?
- Math Overflow's List of Free Online Lectures
- The Catsters - Category Theory Videos
- Math Dr. Bob
- IHES' YouTube Channel
- Worldwide Center of Mathematics
- Hausdorff Research Institute for Mathematics
- Standupmaths
- PBS Infinite Series
- National Council of Teachers of Mathematics
- APRENDE MATEMÁTICAS DESDE CERO
- ProfeAlex
- Matemáticas para la vida real
- Math Sorcerer Español
- Duolingo Math Blog
- EL ABC DE LAS MATEMÁTICAS
Developing the right mindset
Many people struggle with math because they believe they are "not a math person." This mindset can be limiting. The truth is, anyone can learn math with the right approach and perseverance.
- Embrace challenges—difficult problems help you grow.
- Understand that making mistakes is part of learning.
- Break down problems into smaller steps.
- Celebrate progress, no matter how small.
Developing confidence in math takes time, so be patient and keep practicing!
Effective study techniques
Here are some tried-and-true methods to help you learn math more effectively:
- Practice consistently: Set aside time each day to work on math problems.
- Use multiple approaches: Try different methods to solve the same problem.
- Teach someone else: Explaining concepts to others reinforces your understanding.
- Work on real-life applications: Apply math to daily situations like budgeting, measuring, and analyzing data.
- Stay organized: Keep a math journal with key formulas, concepts, and solved problems.
Common mistakes to avoid
Even the best learners make mistakes. Here are some pitfalls to watch out for:
- Skipping the basics: Make sure you have a strong foundation before moving to advanced topics.
- Memorizing without understanding: Focus on comprehension rather than rote memorization.
- Not practicing enough: Learning math is like exercising a muscle—it needs regular practice.
- Giving up too soon: Some problems take time and multiple attempts to solve. Don't be discouraged.
By recognizing these mistakes, you can become a more effective and confident math learner.