What are some resources and tips for improving my understanding of mathematics?

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SUMMARY

The discussion centers on improving foundational understanding in mathematics for college students. The participant expresses a lack of comprehension in mathematical concepts, having only learned procedures without grasping the underlying principles. They seek a hierarchical list of mathematical subjects, such as arithmetic, pre-algebra, algebra, and geometry, along with recommendations for textbooks that cover these areas comprehensively. The goal is to build a solid foundation in mathematics to facilitate better learning and application.

PREREQUISITES
  • Basic familiarity with mathematical terminology
  • Understanding of high school-level math concepts
  • Ability to navigate educational resources and textbooks
  • Willingness to engage with structured learning materials
NEXT STEPS
  • Research the hierarchy of mathematical subjects, focusing on foundational areas like arithmetic and algebra
  • Explore textbooks such as "Mathematics: A Very Short Introduction" for broad coverage
  • Investigate online platforms like Khan Academy for structured learning paths
  • Look into study guides that connect mathematical concepts across different areas
USEFUL FOR

College students, educators, and anyone seeking to strengthen their foundational understanding of mathematics and improve their problem-solving skills.

jhe1984
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Hi,

I'm about halfway through college and have just begun to realize that my understanding of mathematics is rather dismal. This may sound obvious but I know that I can do math because, in high school, once I finally understood a process (which I did in about average time) I could apply it to specific examples. Unfortunately, I don't feel like I learned anything but a random assortment of specific procedures from pre-Algebra to pre-Calculus and nothing like a foundational understanding of why math works or how its connected. So now, when I go on Wikipedia to look up another a math term, the definition is basically in another language. Being taught by coaches was probably not a huge help either, lol.

What I'm looking for, then, are two things. First, I'd like a list of mathematical subject areas (like arithmetic(?), pre-algebra, algebra, geometry, etc) that I need to know, hopefully in a rather hiearchical structure, so that I can move from a basic topic to its extension. Second, if anyone has any ideas on a book or textbook for any of these areas, I'd also appreciate that. (Maybe one textbook covers multiple basic ideas). Either of these things - or references to them - would be really appreciated.

Thanks in advance!
 
Mathematics news on Phys.org
ahh, I've found some helpful resources on other parts of this site. i'll start there, but feel free to chime in with any thoughts.
 

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