Overcoming Algebra Struggles: Is Math My Downfall?

  • Context: Undergrad 
  • Thread starter Thread starter 7longhorn
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SUMMARY

The discussion centers on a student's struggle with Algebra 1 despite performing well in Calculus I. The student expresses concern about their ability to assist peers and future children with math, feeling embarrassed after failing to solve a basic rate problem. Recommendations include taking Linear Algebra, Calculus, Differential Equations, Analysis, Abstract Algebra, and a high-level honors Probability class to strengthen foundational skills. The consensus is that reviewing Algebra concepts will enhance confidence and competence in solving related rates problems.

PREREQUISITES
  • Understanding of basic algebraic concepts, particularly rate problems.
  • Familiarity with Calculus I principles and problem-solving techniques.
  • Knowledge of Linear Algebra fundamentals.
  • Basic understanding of Differential Equations and their applications.
NEXT STEPS
  • Review Algebra 1 concepts, focusing on related rates problems.
  • Study Linear Algebra to build a stronger mathematical foundation.
  • Learn Differential Equations to understand advanced mathematical relationships.
  • Explore Abstract Algebra to gain insights into higher-level mathematical structures.
USEFUL FOR

This discussion is beneficial for college students pursuing mathematics, educators seeking to enhance their teaching methods, and parents wanting to support their children's math education.

7longhorn
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Hi,

I posted this a few days ago but it disappeared along with my registration. Anyway, this is a concern about my algebra skills. I'm in a calculus I class at college and things are going well. I'm able to learn/understand/apply things at the expected proficiency.

My friend who is also a freshman is taking Algebra 1. A few weeks ago she asked me for homework help. I'm known for my love of mathematics, so I suppose she asked me for help thinking I'm a math expert. In truth, I don't think I am, and I don't make it apparent that I'm great at math or anything.

Well, sadly, I found that I was unable to help her with her Algebra 1 homework, which was a simple d=rt type rate problem, like "John is riding his bicycle at 2 different rates. If it takes him 90 minutes and he averages a speed of 20 mph and his rates are x and x-20, respectively, what are his individual rates?"

I felt embarrassed and ashamed that I was unable to solve the problem fully. I got far, but I couldn't come up with the answer. To make this feeling worse, I want to minor in mathematics. I just don't understand how I can be good at higher math but suffer with early high school math.

How am I supposed to fix this hole in my algebra background? Will learning calculus, linear algebra, and differential equations be enough (i.e. when I get my minor)? I'm just worried that I'll have a math minor but won't be able to help my future kids with their math homework. :frown:

Thanks.
 
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Take Linear algebra, calculus and Differential equations. Then take an Analysis class and an Abstract Algebra class. Follow this up with a high level honours probability class.

After all this you should be able to teach your kids some math
 
7Longhorn

No need to be worried about those related rates exercises from Algebra 1. You are still developing. You should have the competency of Algebra required for Calculus 1 since you are in it now and doing well. Just review the related rates problem solving approach which you learned in Algebra 1 and you will become good at them; better than when you studied Algebra 1 the first times.

EDIT: I did not mean to suggest that those types of problems are unimportant; only that you can easily enough study them again and understand the solution approach.
 

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