Is ommiting precalc and geomtry good for a school to be doing?

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Discussion Overview

The discussion revolves around the curriculum choices of two-year colleges regarding the omission of geometry and precalculus courses before students progress to calculus. Participants explore the implications of such omissions on students' preparedness for calculus and the content covered in different courses.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants question what concepts might be omitted by colleges that do not offer geometry or precalculus, suggesting this could hinder students' success in calculus.
  • Others argue that the necessity of geometry and precalculus for calculus may depend on the specific content of the courses rather than their titles.
  • One participant claims that geometry and precalculus are not essential for calculus, noting that these subjects are often included in high school curricula.
  • A participant shares their experience of taking algebra and trigonometry before moving directly into calculus, suggesting that precalculus topics were integrated into their earlier courses.
  • Another participant reflects on their community college experience, describing precalculus as a recap of previous topics and questioning its value in the curriculum.
  • There is a request for clarification regarding which class is considered pointless, indicating some ambiguity in the discussion about the relevance of precalculus versus other courses.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of geometry and precalculus for calculus, with no consensus reached on whether omitting these subjects is beneficial or detrimental to students' mathematical education.

Contextual Notes

Participants acknowledge that the content of courses with the same name may vary across institutions, which could influence the effectiveness of the curriculum.

Jurrasic
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There are a few 2 year colleges around, anyways, one of them never offers geometry or trig, they just want students to go straight from trig to calculus, but all the other 2 year colleges offer, geometry then college algebra, then trig, then precalc. then calc.
What concepts are probably being omitted by the one school, by offering only college algebra, then trig then straight to calculus? They don't offer geometry or calculus at their school. And doesn't this make is difficult for anyone to do well in calculus this way? This is at a 2 year college.
All of the other 2 year colleges have students take geometry, and precalculus along with all the other classes to be taken before trig, so what gives?
 
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Surely it depends on what's in the courses, not what they are called. Are you sure that the content of the courses with the same name are the same at different colleges?
 
Besides, I would say that neither geometry nor precalculus are necessary requirements for calculus. Those tend to be in the curriculum for high schools that I have seen. I haven't actually seen a college offering Precalc. Heck, the only use trig serves is familiarity with the trig functions. That said, I think each plays a fundamental role in adding tools to any mathematician's toolbox.
 
Jurrasic said:
There are a few 2 year colleges around, anyways, one of them never offers geometry or trig, they just want students to go straight from trig to calculus, but all the other 2 year colleges offer, geometry then college algebra, then trig, then precalc. then calc.
What concepts are probably being omitted by the one school, by offering only college algebra, then trig then straight to calculus? They don't offer geometry or calculus at their school. And doesn't this make is difficult for anyone to do well in calculus this way? This is at a 2 year college.
All of the other 2 year colleges have students take geometry, and precalculus along with all the other classes to be taken before trig, so what gives?

If you end up really understanding calculus, then you will easily understand the specific circumstances that yield the results you find in pre-calc and lower end classes.
 
I am currently attending a two year college, and I've seen nothing about geometry or pre-calc.

I started with basic Algebra, worked into college level Algebra, and am just now finishing up my trig class. Next semester I move straight into Calculus.

I think that most of the pre-calculus topics were thrown in at the end of trig and algebra.
 
I attended a community college before the university, and there was a huge gap between when I was out of high school and when I started college so I wanted to redo a great deal of math. I took Intermediate-Alg, College-Alg, and then Precalc and Trig at the same time, before starting Calculus and so on..

I can fully understand why it is a a rather pointless class. I remember it was basically a re-cap of Log, Functions, Conics and a brief introduction to some calculus topics like limits and the difference quotient. I rather enjoyed trig though, even though much of what I learned in that class I have yet to use.
 
QuarkCharmer said:
I attended a community college before the university, and there was a huge gap between when I was out of high school and when I started college so I wanted to redo a great deal of math. I took Intermediate-Alg, College-Alg, and then Precalc and Trig at the same time, before starting Calculus and so on..

I can fully understand why it is a a rather pointless class. I remember it was basically a re-cap of Log, Functions, Conics and a brief introduction to some calculus topics like limits and the difference quotient. I rather enjoyed trig though, even though much of what I learned in that class I have yet to use.

"I can fully understand why it is a a rather pointless class."
Are you referring to Pre-calc being pointless, or which one?
 
cristo said:
Surely it depends on what's in the courses, not what they are called. Are you sure that the content of the courses with the same name are the same at different colleges?

True
 

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