Questions tagged [teacher-preparation]

Questions about the process of preparing pre-service (or supporting in-service) teachers for duties related to classroom instruction in mathematics.

19
votes
6answers
2k views

Teaching indefinite integrals that require special-casing

I encountered the following concern when teaching indefinite integrals. I believe that many of us may overlook this. May I be wrong? Let's consider the following example. Find the indefinite ...
5
votes
3answers
161 views

CoTeaching Elementary Linear Algebra

I and my colleague will teach an elementary linear algebra next few weeks, but the way our course is planned mostly is by turn teaching. By that I mean, my partner will teach the first 8 weeks of the ...
-5
votes
2answers
86 views

To what extent is MSE reputation an indication of potential in education? [closed]

Similar question as in Academia StackExchange except education instead of academia. Quote: High reputation on a technical Stack Exchange site might indicate that you're a good teacher of that ...
9
votes
5answers
493 views

teach that $\frac10$ not defined properly

there're some students, who belive that $$\frac10 = \infty $$ I need to teach them that this is not true and $\frac10 $ is undefined, mathematically and give a good picture (for there minds) what ...
15
votes
5answers
566 views

How should I introduce the concept of a function to a precalculus student?

My brother has not taken a math class in $10-15$ years. He is studying for the GRE so I have been teaching him a chapter or two from my precalculus book. So far, he has learned (and excelled at) basic ...
10
votes
3answers
805 views

Mathematics in UK vs Central Europe

Is mathematical education better outside UK and USA? Studying in UK I noticed that the Uk syllabus of 3-4 modules per area of mathematics, is often easily covered by one module in central Europe, for ...
2
votes
1answer
170 views

Core-Plus Mathematics: Similar Resources for grades 7-9

I'm looking for rich educational resources similar to core-plus mathematics, for grades 7, 8, and 9. Is there any such material?
5
votes
0answers
144 views

Does there exist an international certification of mathematical skill?

I think that an international certification of math level would be really important also for non-math educators. Here in Italy primary school teachers actually teach math without being proficient at ...
3
votes
0answers
112 views

Sketching paraboloids on paper

I have to teach sketching paraboloids on paper by looking at it's equation. Last year when I taught this topic no one was interested in learning this particular thing. They felt the topic difficult ...
15
votes
1answer
1k views

The general and particular in the psychology of mathematics education

Many students I have spoken with who are drawn to becoming mathematics teachers chose their mathematics major because they enjoyed doing routine exercises in high school. The comfort of a definite and ...
4
votes
1answer
146 views

Teaching measurement to 4th grade students by projects?

I'm going to be teaching measurement to 4th grade students and I want something a little more hands on. I believe that they would enjoy that more. So any helpful ideas or things you think would work ...
1
vote
1answer
571 views

A complete syllabus for preparing for International mathematical olympiad (IMO) [closed]

I want to create and develop a complete syllabus for mathematics Olympiad topics for my students. Would anyone help me to shape and create it? As you know its main topics are Geometry, Number Theory, ...
8
votes
2answers
247 views

Is multiplication by zero clear for and understood by K-3 students?

For K-3 students, perhaps it is not acceptable to introduce multiplication by zero as a property or definition. Instead, the child may think about multiplication as, e.g., repeated addition. ...
4
votes
1answer
89 views

Continuity of classes split between different days

Context: Because of organizational mess, there is a high chance that I'll be preparing a ~3h class for gifted students during a spring-camp (a week-long gathering full of all kinds of nice things to ...
6
votes
1answer
165 views

Grad school backup: high school teacher

I am currently a junior at a mid-tier college and am doing reasonably well in my math major, but not quite as well as I suspect necessary to get into well respected PhD programs as is my dream. I've ...
4
votes
1answer
189 views

How to: Learn how to solve a simple equation…in one hour!

The task is to plan a one hour lesson to teach 'one-on-one' someone (a 16 year old girl), who is at an F grade in maths, how to solve a simple equation like $$ 0.24 = \frac{1}{x} $$ I have done this ...
10
votes
2answers
217 views

Explaining mathematics, giving talks, and using the blackboard as a support

Normally, I am comfortable when I have to explain a piece of mathematics to a group of people using pen and papers as supports. However, I find it quite difficult to give small talks and explanations ...
9
votes
1answer
190 views

What courses should be a part of a Mathematics Education degree program?

I had asked the title question in an answer here, but it didn't get any recognition, so I'm posing it formally. The key word in the question is should. In my Mathematics Education degree education, I ...
11
votes
3answers
165 views

Regarding AMATYC's draft position statement on the academic preparation of mathematics faculty at two-year colleges

AMATYC has a draft position statement on the academic preparation of mathematics faculty at two-year colleges that will be voted on soon, if it hasn't happened already. The draft is attachment L in ...
8
votes
3answers
147 views

Organizing Old Notes

Since it's currently summer break, and I've a bit more time than normal, I've been organizing my old notes. I seem to have an almost unwieldy amount of old handouts and tests from classes previously ...
6
votes
2answers
804 views

How can a math teacher manage a class when unprepared?

Sometimes a math teacher becomes sick or depressed like any other human and is not able to be prepared for lecture. Sometimes a math teacher spends too much time on a research project and does not ...
8
votes
3answers
296 views

Common phrases having different meaning

When talking with students it frequently happens that they misunderstand what you meant. The common example is the amount of rigor that one would consider "a proof", but there are other things, like ...
7
votes
4answers
602 views

Devising backup plan to become HS teacher as a late undergrad

I am a junior math major in NY and will apply to PhD programs next year. I am terrified about getting rejected as I have not yet put any serious thought into a backup plan. I've tutored high school ...
15
votes
1answer
280 views

How do you fix a broken course plan?

The most terrifying thing about teaching my own class is 'do I actually know enough to effectively teach students?' I know this is anxiety brought on by a lack of experience but finding the tools to ...
25
votes
3answers
948 views

What do you do when you realize mid-lecture that your lesson plan is not working?

I had this happen today, and several times before. I had had difficulty preparing the material, because I knew my students strengths and it didn't seem suited to them. However, it seemed the right ...