Other I am unsure of my ability to learn higher math

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SUMMARY

The discussion centers on the challenges faced by a student transitioning from Algebra to higher-level math courses, specifically Algebra+Trig, Pre-Calculus, and Calculus. The student received a "B" in Algebra but struggled with retention due to ineffective teaching methods. Participants emphasize the importance of reviewing material, seeking tutoring, and ensuring a solid foundation in geometry to prevent hitting a wall in future courses. Recommendations include using Harold Jacobson's book on Algebra for summer study and selecting courses with strong instructors to facilitate learning.

PREREQUISITES
  • Understanding of Algebra concepts, including functions and sequences.
  • Familiarity with Geometry principles, which are crucial for higher math.
  • Basic knowledge of Trigonometry, as it is part of the upcoming coursework.
  • Experience with study techniques, such as frequent review and tutoring.
NEXT STEPS
  • Study Harold Jacobson's book "Algebra" to reinforce foundational concepts.
  • Research effective study techniques for math retention, such as spaced repetition.
  • Explore local community colleges for courses with rigorous math instructors.
  • Learn about the importance of Geometry in Pre-Calculus and Calculus to avoid gaps in knowledge.
USEFUL FOR

This discussion is beneficial for students preparing for higher-level math courses, educators seeking to improve teaching methods, and anyone looking to enhance their math retention strategies.

Avner
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I have just completed my algebra class. In ascending order I have to take Algebra+Trig, Pre-calc, and Calc. I received a "B" in my algebra class; it's a passing grade, but not particularly good. I had a hard time retaining the previous material, when learning new concepts. I will say, that my professor for the class was not a great teacher. He would project a paper with the material already answered(lots of incorrect answers too), quickly read over it, and move on. I have picked a professor for my next class, who has phenomenal reviews, so I'm hoping that will help.

Anyways, I have looked in the Calculus section here and all the variables are very intimidating. Will I have a natural progression as I move up the list(assuming I put the required effort into it)? I am confident I will pass ALG-Trig; but come time for Pre-calc, I am afraid I will hit a wall. Any tips, knowledge, or experiences with my situation are greatly appreciated.
 
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I don't know if this is at all helpful but I've always found my ability to retain/understand a subject depends strongly on my required use of the subject. In school subjects are taught as an end in themselves. If I didn't happen to share those ends my retention was limited. However, when there is a goal in mind that requires learning, things become easier. People for which the goal is getting a good grade are called good students. People like myself, learning impaired.
 
it helps to review. since you got a B, there are topics you need more work on. I suggest getting Harold Jacobson's book Algebra and working through it over the summer.
 
Avner wants to know:
Anyways, I have looked in the Calculus section here and all the variables are very intimidating. Will I have a natural progression as I move up the list(assuming I put the required effort into it)? I am confident I will pass ALG-Trig; but come time for Pre-calc, I am afraid I will hit a wall. Any tips, knowledge, or experiences with my situation are greatly appreciated.

This forum, as much as any forum, is not an instructional textbook. Attending courses, reading the expected sections from the book, doing homework exercises, will be much better structured. You WILL find a logical progression in each course and from one course to the next one.

You very well could hit a wall at some point. Maybe Pre-Calculus will be that wall. Maybe something before it; maybe something after it.

You did not say which Algebra you recently earned your B grade. That is not a bad grade. If you just finished Algebra 1 or "Introductory Algebra", then the next course to do would be either Geometry, or Algebra 2 (Intermediate Algebra). The courses generally become harder as you go, but that does not mean you would be unable to learn.

Hit the wall? You have ways to break this wall. Some of them, anyway. Reviewing on your own what you may have already studied; review and get tutoring; doing a course a second time (although there is academic risk in this one); LONGER AND MORE FREQUENT STUDY. Doing MORE exercises than are assigned in class.
 
Avner said:
I have just completed my algebra class. In ascending order I have to take Algebra+Trig, Pre-calc, and Calc. I received a "B" in my algebra class; it's a passing grade, but not particularly good. I had a hard time retaining the previous material, when learning new concepts. I will say, that my professor for the class was not a great teacher. He would project a paper with the material already answered(lots of incorrect answers too), quickly read over it, and move on. I have picked a professor for my next class, who has phenomenal reviews, so I'm hoping that will help.

Anyways, I have looked in the Calculus section here and all the variables are very intimidating. Will I have a natural progression as I move up the list(assuming I put the required effort into it)? I am confident I will pass ALG-Trig; but come time for Pre-calc, I am afraid I will hit a wall. Any tips, knowledge, or experiences with my situation are greatly appreciated.

I review back and forth. Working as a tutor has also helped me retain concepts.
 
If your school does not offer a geometry course, find a school near you that does. At one of the community colleges I attended and tutored at, there was no geometry course. I went to either school to take my math classes, depending on what school had the more rigorous teacher teaching the class I needed. Hence, I did not have problems in this area.Students simply passed an intermediate algebra course (functions, composite functions, sequences, logs, inverse functions, conics, etc). Then they moved onto trigonometry and pre-calculus. Needless to say, students at that school had problems with portions of mechanics and calculus, that required use of geometric facts to set up the problems. Many students could not follow some derivations, because they lacked the geometric background.
 
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