At what level of math skill can you start teaching highschool calculus?

In summary, the conversation discusses the desire to become a math teacher with enough proficiency to never have to use a textbook for lesson planning and to be able to write notes on the blackboard using only one's head. The importance of experience and hard work in developing this level of understanding is emphasized, with the suggestion that a PhD in mathematics is necessary. The conversation also highlights the challenges of teaching and the importance of preparation and continual improvement in teaching skills.
  • #1
kramer733
323
0
So i think i want to be a math teacher at a high school. But i want enough math skill to never have to look at the textbook for a lesson plan. I want to have enoguh proefficiency in math to just start writing down notes on the blackboard just by using my head. My friends tell me profs do this all the time (I just graduated high school). I would love for my life to be that easy. Does anybody know how long it will take to get this skill?
 
Physics news on Phys.org
  • #2
I had a professor who could do that in pre-calc. He had a doctorate in secondary education, but his only math background was a minor.
 
  • #3
There is no better way to learn any subject well, than by teaching it.

If you teach the same subject more than once, you will have this ability you want.

I recommend you put this worry out of your mind and focus on the more difficult parts of teaching. Motivating your students to want to learn and presenting the subject in a way that is easier for them to learn are much more challenging skills to develop, but they also come with experience.
 
  • #4
If you went to my high school, you could teach calculus at the same time as taking at the community college!

Really though, planning your lesson out will always be important. You need to think about what you are going to lecture on and work through some examples. Otherwise you risk of wasting everyone's time, being an less effective teacher and looking foolish when you have to stop and think.
 
  • #5
The only professor I know who can teach without notes has been doing it for decades. Some professors have been doing it for decades and still can't do that. For one, some people simply can't remember everything! Some professors want to follow a textbook and even if they have everything memorized, maybe they want notes so they remember the order as well.

Experience is the key though, you can go get a phd in math and probably still need to look back at a textbook to explain things at the lower levels (although ok, at high school you probably wouldn't... ). You don't spend all of your college career learning stuff that high schoolers need to know so it makes sense that you wouldn't be able to master it and be able to present without notes until after a while teaching.
 
  • #6
Major in math.
 
  • #7
kramer733 said:
So i think i want to be a math teacher at a high school. But i want enough math skill to never have to look at the textbook for a lesson plan. I want to have enoguh proefficiency in math to just start writing down notes on the blackboard just by using my head. My friends tell me profs do this all the time (I just graduated high school). I would love for my life to be that easy. Does anybody know how long it will take to get this skill?

That level of knowledge is not skill, it is the result of understanding. The requisite level of understanding is quite common among professional mathematicians, which means PhD mathematicians.

It is not that easy, but is the result of a lot of study and hard work. Nothing in life that is wothwhile is easy, but if you have the interest in mathematics then the work is hard but pleasant.
 
  • #8
=) Well thankfully i do have enoguh interest to do a math degree. Thanks guys. I guess there really is no easy way to actually do a lesson except to prepare for it. That kinda sucks haha.
 
  • #9
It's called a job. It requires work. No surprise there

My friends tell me profs do this all the time

Unless your friends are spying on their professors the night before/morning of their lectures, they really don't know what kind of preparation went into the lecture
 
  • #10
One important point to make is that the best teachers teach the student how to think, not just the subject itself.


Office_Shredder said:
Unless your friends are spying on their professors the night before/morning of their lectures, they really don't know what kind of preparation went into the lecture
We sometimes do know the preparation. Some professors tell the students directly. Some grad students know the profs personally and know their habits. I once overheard one professor on the phone bragging to his friend how he did no preparation at all ( by the way, this fact was reflected in his poor teaching).

A good professor will always need to put a tremendous effort into teaching the first time through a course, but it gets easier each time. Eventually the prof knows the lectures cold, but if he is good, he will keep thinking of ways to improve the presentation.
 
  • #11
kramer733 said:
I would love for my life to be that easy.

First of all, the actual classroom teaching is the easy part. Parents, paperwork, and discipline are all much harder and more time consuming.

Secondly, don't worry about teaching calculus, worry about teaching remedial algebra. Because as a new teacher, that's what you will probably be given... :smile:
 
Last edited:

1. What specific math skills are necessary for teaching high school calculus?

To teach high school calculus, a strong understanding of algebra, trigonometry, and precalculus concepts is necessary. This includes topics such as functions, limits, derivatives, and integrals.

2. At what grade level should students be introduced to these necessary math skills?

Students should be familiar with algebra, trigonometry, and precalculus by the time they reach high school. These concepts are typically introduced in middle school and reinforced in early high school years.

3. Can a student with a strong foundation in math start learning calculus before high school?

Yes, it is possible for students to begin learning calculus before high school if they have a strong foundation in math and an interest in the subject. Many schools offer advanced math courses for students who are ready to move beyond the standard curriculum.

4. Are there any other important factors besides math skills that are necessary for teaching high school calculus?

In addition to a strong understanding of math concepts, effective communication and teaching skills are also important for teaching high school calculus. Being able to explain complex concepts in a clear and understandable way is crucial for helping students learn and succeed in calculus.

5. Is it necessary to have a degree in mathematics to teach high school calculus?

In most cases, a degree in mathematics or a related field is required to teach high school calculus. Some schools may also require a teaching certification. However, there may be exceptions for individuals with extensive knowledge and experience in mathematics who are able to pass licensing exams and meet other qualifications set by the state or school district.

Similar threads

  • STEM Career Guidance
Replies
11
Views
2K
Replies
26
Views
1K
  • STEM Career Guidance
Replies
14
Views
2K
  • STEM Career Guidance
Replies
12
Views
3K
Replies
127
Views
16K
  • STEM Career Guidance
Replies
4
Views
589
  • STEM Educators and Teaching
2
Replies
36
Views
4K
  • STEM Career Guidance
Replies
9
Views
1K
  • STEM Career Guidance
Replies
33
Views
2K
  • STEM Career Guidance
Replies
2
Views
1K
Back
Top