I am unsure of my ability to learn higher math

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Discussion Overview

The discussion centers around the challenges of progressing through higher mathematics courses, specifically Algebra+Trig, Pre-calc, and Calculus. Participants share their experiences and concerns regarding retention of material, teaching quality, and the potential for encountering difficulties in future courses.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses concern about their ability to retain material and fears hitting a wall in Pre-calc, despite feeling confident about passing Algebra+Trig.
  • Another participant suggests that retention and understanding improve when there is a specific goal in mind, contrasting this with traditional educational approaches.
  • A suggestion is made to review previous material and work through additional resources, such as a specific algebra book, to strengthen understanding.
  • One participant emphasizes that while courses generally become more challenging, it does not imply that learning is impossible, and offers various strategies for overcoming potential obstacles.
  • Concerns are raised about the lack of geometry courses at some schools, which may hinder students' understanding of calculus and mechanics due to missing foundational knowledge.

Areas of Agreement / Disagreement

Participants express a mix of agreement and differing views on the challenges of learning higher math. While some share strategies for overcoming difficulties, others highlight the importance of foundational knowledge and the potential for encountering obstacles at various stages.

Contextual Notes

Some participants note the importance of reviewing material and the impact of teaching quality on learning outcomes. There are references to specific courses and their prerequisites, but no consensus on the best approach to learning is reached.

Who May Find This Useful

This discussion may be useful for students transitioning to higher mathematics courses, educators seeking insights into student challenges, and individuals interested in strategies for improving math retention and understanding.

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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