20 votes

Are women better math teachers for little children?

Most of the research on gender and math education is focused on student gender differences. However, a few references can be found that focus on the what differences there may be based on the gender ...
  • 7,385
16 votes

Commonly taught method divides by zero

The method is mathematically incorrect, but whether it is wrong or not, depends on whether people know what they're doing or not. The possible division by zero is a mistake, yes. But it is a mistake ...
  • 824
16 votes

What is the required mathematical background of a US elementary school math teacher?

Based on my experience in the US, most school districts teachers teach all subjects including mathematics in the elementary schools. There typically aren't "mathematics teachers" at this level ...
14 votes
Accepted

What is the required mathematical background of a US elementary school math teacher?

Supporting the answer by Brian Borchers, and also the comment by aparante001: K-6 elementary teachers in the U.S. will know effectively zero math, or even a negative amount of math in many cases. It's ...
12 votes

Algebra 2 textbooks that incorrectly claim that all solutions of polynomial equations can be found

At the moment, I can answer bullet point two: Are there any high school textbooks that explicitly acknowledge that the methods included in the text are not adequate to solve all 3rd and 4th degree ...
12 votes

What is the required mathematical background of a US elementary school math teacher?

Despite what the negative answers, there are elementary teachers who are good at math. I count myself among them. The problem is that there are a broad range of abilities and attitudes among those ...
  • 7,065
12 votes

Are women better math teachers for little children?

A study I have read indicates that female teachers' math anxiety (negatively) affects girls' math achievement at the elementary level, which would run counter to your claim that women are "better" for ...
  • 3,694
11 votes

Confirmation bias in math education

Is the teacher's confirmation bias a serious problem? Yes and this is not specific to math class. Example of Confirmation Bias in Assessment On Monday, the teacher thinks: "If my students have ...
10 votes

What is gratifying in being a mathematics teacher?

Since one point was not made very forcefully in the other answers: I like teaching mathematics because, even on the worst days, I get to talk/think/engage about mathematics... which I somehow find ...
  • 13.7k
9 votes
Accepted

How to choose the school for practising teaching?

First off, I would like to commend your desire to teach at a high school level. It is a very challenging and tiring profession but it is so rewarding and IMHO is one of the most useful settings that ...
  • 4,870
8 votes

Teaching math by serving it as games with rules first, not intuition?

You may be overestimating how much students learn from symbolic rules. Most textbooks already teach symbolic rules first then put word problems last. This is backasswards. Most students succeed at ...
8 votes

What is the required mathematical background of a US elementary school math teacher?

Here are the requirements for Teacher Certification in Massachusetts: The Massachusetts Teaching and Certification Resource Become a Teacher in Massachusetts An image pasted from the latter link: ...
8 votes

Do mathematics teaching professional organizations publish hiring recommendations?

The MAA has a document (for undergraduate institutions) titled "Guidelines for Programs and Departments in Undergraduate Mathematical Sciences" and addresses some of this in Section C: "Program ...
  • 6,524
7 votes

What is gratifying in being a mathematics teacher?

With respect to Benjamin's answer, the top reason in his graphic "to make a difference." I received the note above at the end of the last school year. The first few reasons listed are slight ...
5 votes

What is the required mathematical background of a US elementary school math teacher?

Academic, applied, and research math is the world where you come from. [Edit: Much of] Elementary "math" is a whole different world. If you want to know why quotation marks are literally necessary ...
4 votes

Limit of questions that a student should ask in class without upsetting professor?

I think this depends a lot on the type of questions (or rather prompts); If you keep asking the professor "again, please", you shouldn't do it perhaps more than once. Most likely, (s)he will repeat ...
  • 2,191
4 votes
Accepted

Limit of questions that a student should ask in class without upsetting professor?

How many times one can ask a given professor a question depends on the professor. There are professors who do not like questions ("this is not a good question"). There are professors who will forget ...
  • 5,131
4 votes

What is gratifying in being a mathematics teacher?

Since the other posts here are positive, I'll go ahead and say that it's not, or at least not necessarily, gratifying. You're talking about undergrad-level education, presumably something like ...
  • 505
3 votes

What is gratifying in being a mathematics teacher?

I would answer it with a story: My aunt whom I stay with is a Math lecturer for last 21 years and she tells me things happening everyday. From all that, what I could collect is this: The starting ...
3 votes

Seminal Professional Development writings

If you are still doing research on PD, here are references specifically related to implementation of reform recommendations. These articles are based on the fact that successful implementation of ...
2 votes

Limit of questions that a student should ask in class without upsetting professor?

As a math professor myself, I want to point out one of the biggest things students in your position tend to forget: you are not alone. If you're confused about something, odds are that lots of other ...
2 votes

Who are in the current top 10-20 applied mathematics educators and in what fields?

Maybe look at recipients of major prizes in applied mathematics? Norbert Wiener Prize, William Benter Prize, John von Neumann Lecture, ...
  • 6,418
2 votes

Algebra 2 textbooks that incorrectly claim that all solutions of polynomial equations can be found

I think every textbook I've used for pre-calculus (at community college level) has the Fundamental Theorem of Algebra in it, so I add the context that, "Yeah, we know there are n solutions to an nth ...
  • 18.1k
2 votes

Teaching math by serving it as games with rules first, not intuition?

The approach you envision aligns with that of the Bourbaki group. They espoused a formal, self-contained, and abstract approach to mathematics. Their thinking influenced the School Mathematics Study ...
  • 8,113
1 vote

Inefficient methods

The three methods for solving for the zeros of a quadratic equation - Factoring (and perhaps realizing that when the discriminant isn't a perfect square, no integer solution) Completing the Square - ...
1 vote

CoTeaching Elementary Linear Algebra

This is a student perspective. In Moscow (during my third year) I took an algebraic topology course which was split between class lecture and a problem-solving session. These roles were not strictly ...
1 vote

Teaching measurement to 4th grade students by projects?

"What type of things are measured? In What units? and "Where do these units come from?" These are good jump off points for this age group. After that decide as a group (or small groups) the ...
1 vote

Commonly taught method divides by zero

I believe this also happens when doing partial fraction decomposition. Often students are encouraged to plug in values of x that would lead to division by zero, but this is never really mentioned or ...
1 vote

Teaching online when living outside america

Teaching Math online is non-trivial. 1. You need both some form of blackboard/whiteboard link that updates in near real time. (Delay of no more than a second or two.) 2. You need a good audio link ...

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