All Questions

Filter by
Sorted by
Tagged with
-2
votes
0answers
25 views

Chord of contact to a second order homogeneous equation [closed]

I was trying to proof the formula for chord of contact to a general second order homogeneous equation of form ax² + by² + 2hxy + 2gx + 2fy + c , which is T = 0, but I could not solve it. Can someone ...
-2
votes
0answers
30 views
4
votes
2answers
105 views

Graphing program for conceptualizing calculus

I'm taking integral calculus at the moment. I was understanding everything quite well until we started learning about finding volume of a solid of revolution. I understand the concept, but practicing ...
1
vote
1answer
101 views

Undergraduate Interview Maths Questions [closed]

I am trying to compile a document of preparation questions to use in mock interviews with students applying to study Maths at top UK Universities. I have many questions already, but it is always ...
3
votes
1answer
96 views

Teaching Approach at primary, middle and higher level

I would like to have a comparison or a big picture of how and why the approach for teaching math varies from primary (or pre primary) to middle to higher classes. I understand at every level one ...
30
votes
6answers
3k views

How to motivate an adolescent who has fallen behind in conceptual development?

I tutor a 16 year old girl. As far as I can tell, she has average talent and interest in math. However, her knowledge of math is that of a 10 year old or even below. She knows the basic operations on ...
8
votes
4answers
171 views

Math 3d animation software

I am looking for 3d-math animation software that is specifically meant for Visualization: That is geometry-based software that can aid in making visualizations as in https://www.youtube.com/watch?v=...
1
vote
1answer
177 views

What to call a symbol that denotes an “undisclosed” given number? [closed]

Students like to categorize notations to pin down their understanding of exactly what these notations stand for. Thus, given the expressions $f(x_{0})=f(x)|_{x\leftarrow x_{0}}$, $x=x_0+h$, or $lim_{x\...
5
votes
2answers
195 views

Looking for a HIERARCHY of math subjects

If you were to "map" mathematics onto a tree structure where the top is "Mathematics", and then below it the different branches, then sub-branches, etc. What do you suggest is a good structure, for ...
3
votes
1answer
194 views

Have there been attempts to base early math education on category theory?

The New Math curriculum built math eduction on set theory. Have there been any attempts to do something similar with category theory? I was fortunate to grow up in a relatively enlightened ...
3
votes
1answer
78 views

Is SQL relevant to statisticians' work?

I hope this is the right place for posting this, but if not, please let me know! I recently took a second class in Python programming which, toward the end, also taught a little bit of SQL. As it ...
1
vote
0answers
75 views

Is there a 'statistics theory' course plan for practitioners?

My job is starting to have me delve into categories that require things like regression analyses on data sets, essentially i'm being introduced to "Data Science" type material. Coming from a computer ...
9
votes
2answers
1k views

“Feynman effect” in teaching mathematics

In his book "Surely you're joking Mr. Feynman", Richard Feynman relates the following story. As he was supervising a group of calculators for Manhattan project, he at some point gave them a lecture on ...
14
votes
7answers
3k views

Why do some linear algebra courses focus on matrices rather than linear maps?

I hope the essence of the question is clear from the title. There are obvious advantages to making the linear map the central notion of a linear algebra course: the notion can be illustrated with ...
5
votes
3answers
162 views

Can you ace one branch of math, while bumbling another branch? [closed]

This r/math post spurred this question. To concretize the meaning of "ace", assume success means earning professorial tenure at a Top 100 world university. your liked stronger branch doesn't exactly ...
18
votes
0answers
277 views

How do I track down the sources of solutions which students have used to cheat on exams?

I recently taught an introduction to real analysis. I assigned a (covid-induced) take-home final, which included a question asking the students to find the closure of $$ \bigcup_{n=1}^\infty \left\{ \...
6
votes
1answer
150 views

Solving open problems through a misunderstanding

We all know the (apparently verified1) anecdote recounting George Dantzig arriving late to a lecture (by Jerzy Neyman), and later solving two open problems written on the board, mistaking them for ...
-4
votes
1answer
89 views

Legality of posting dictated video of publisher's slides [closed]

I typically will write my own slides for a course, and then may make a screen recorded video of me talking over the slides. Now I'm planning on doing a screen recording over slides the publisher has ...
16
votes
5answers
5k views

How rigorous should high school calculus be?

In the UK, calculus taught in secondary school focuses mainly on computation of derivatives and integrals and solving simple differential equations. There is a small amount of discussion about limits ...
12
votes
1answer
688 views

Proof by contradiction - more than one case

I am looking for some examples of when proof by contradiction is used in a problem with more than one case. In all the elementary examples, there are only two options (eg rational/irrational, ...
13
votes
7answers
2k views

Content for a 40-minute lecture on graph theory for high schoolers

I'm due to deliver a session on graph theory for 16–17-year old students (UK sixth formers) as a taster of what studying mathematics at university is like. What would you recommend as content, and a '...
10
votes
2answers
448 views

Is there research to back up the claim that math classes help develop analytical skills?

When I teach math classes, one goal I have in mind is to help students develop the cluster of thinking skills usually called analytical skills or critical thinking skills. And I think that math ...
28
votes
2answers
2k views

Interesting things you learned while grading?

What are some interesting mathematical things you have learned while grading student work (or marking, if you prefer)? It is final exams time here, so if anyone can help cast a more positive light on ...
1
vote
0answers
34 views

Waiver Form for Remote Video Class [migrated]

I will be teaching higher-level math classes in a Texas community college this coming Summer semesters. I will be using the same platform that I have been using for this Spring semester since the ...
0
votes
2answers
106 views

Examples for “good” exponential growth versus linear growth

I am writing up a small text about (increasing) exponential functions versus linear functions. I want to make the point that it is not true that if an exponential is bigger than a linear function that ...
1
vote
3answers
117 views

Does the “Find” in questions such as “Find the solution” imply the process of finding must be laid out?

I am currently marking a set of math assignment at university, and I am wondering about the following general point: in a question such as "Find the solutions to the equation $x^2 - 3 = 0$", does the ...
27
votes
10answers
7k views

Should LaTeX be taught in high school?

This semester, I was forced to learn LaTeX for my Real Analysis class. The professor wanted all homework assignments to be typed in LaTeX in order to produce "high-quality" work. At first I was ...
3
votes
1answer
102 views

Introductory Analysis lecture slides

I will be teaching an introductory analysis course (see topics below) and I need some source-code Latex slides or PPT slides, and am willing to choose my textbook based on these slides (rather than, ...
14
votes
8answers
4k views

Fun set theory for kids

Are there some fun results in set theory to set as landmarks while introducing to kids? For example, while introducing graph theory to kids, I could explain isomorphism via a pentagon and pentagram, ...
20
votes
5answers
2k views

What does it take to find a good math book for self study?

I'm 20 and I never learned math properly in my highschool. I found my interest in math last year and I've been searching for books since then. I tried Khan academy but I have difficulty paying ...
6
votes
4answers
2k views

What will my academic path look like after testing out of high school math classes?

I am currently a 15-year-old in the 9th grade, and I am studying to test out all of my high school math classes, which is something I didn't realize I could do in the 8th grade and would have if I had....
14
votes
4answers
4k views

(How) Do American undergraduate math programs teach complex numbers?

What kind of exposure to complex numbers can you expect in mathematics majors at American colleges? I teach at a very large public university. It occurred to me that it is possible to graduate in ...
4
votes
2answers
139 views

For an online assignment application, should different versions of the same assignment be allowed to have different numbers of questions?

For an online assignment application where you can configure different versions of a single assignment/test to have different questions, should it be possible to also have the different versions have ...
8
votes
3answers
317 views

Geometrical interpretation of the identity $\operatorname{lcm}(a,b) \operatorname{gcf}(a,b) = ab$

Does anyone know a good geometrical representation of the fact that $\DeclareMathOperator{lcm}{lcm}\DeclareMathOperator{gcf}{gcf}\lcm(a,b) \gcf(a,b) = ab$? Because $\lcm$ and $\gcf$ are abstract ...
5
votes
1answer
69 views

Ideas and/or references for Projects for a Business Calculus course

I have undertaken the teaching a Business Calculus course for this semester (spring II). The various assesments for the students, include quizzes/hw/midterms/final exams, adjusted with suitable ...
4
votes
0answers
177 views

Linguistic recursion issues while writing Mathematics textbooks for Basic School

In Linguistics, recursion is the ability to amend one sentence to another, combining them in different ways. Example: "After I saw the movie, I went to a cafeteria and then I ate a pizza." Without ...
6
votes
1answer
153 views

Fundamental Ideas in Mathematics

Andreas Vohns in his article Fundamental Ideas as a Guiding Category in Mathematics Education—Early Understandings, Developments in German- Speaking Countries and Relations to Subject Matter Didactics ...
6
votes
4answers
194 views

Courses equivalent to College Algebra in other countries?

In USA, there is a course called College Algebra and a course description may look like the following: This course provides students an opportunity to gain algebraic knowledge needed in ...
12
votes
8answers
1k views

Are these assumptions in statistics correct or beneficial?

(I hope the question in in scope, please see my question on Meta about that) My 15 yo son (2nde in France, this is the first year of the equivalent of a High School) is going through basic statistics....
5
votes
1answer
128 views

Do you teach different proofs or calculations of same question?

Recently I asked a question on math.stackechange about the most ways to differentiate the same function and it didn't seem to generate any interest - rather, the reason why I'd ask such a question was ...
4
votes
2answers
158 views

Has a List of Fundamental Mathematical Skills been compiled?

... in the literature. I an wondering is there a (considered) list of "fundamental mathematical skills". I am not sure can I give a solid definition of "fundamental mathematical skill". What I mean ...
10
votes
7answers
2k views

Do you have an efficient way to view student responses to remote assignments allowing them to type math symbols and steps? (Middle + High school)

Asking for a friend, this seems generally useful given #distanceLearning right now. Below is her message in a quote block followed by my response. I am using Google Classroom, G-sheets, G-Docs, G-...
3
votes
1answer
83 views

Dolciani and Sorgenfrey textbook collaboration

Would it be possible to get a complete list of math textbooks written jointly by Dr. Mary Dolciani and Dr. Robert Sorgenfrey? I'm particularly interested in focusing on how they collaborated while ...
5
votes
2answers
554 views

Textbooks for an independent study in point-set topology

I am planning to sign up for an undergraduate "course" in point-set topology next semester. It is really an "independent study" in that this course will not have any lectures. It will just have two ...
11
votes
13answers
1k views

Different ways to multiply decimals

I am an undergraduate secondary math education major. In $2$ weeks I have to give a Number Talk in my math ed class on the problem "$3.9$ times $7.5$". I need to come up with as many different ...
2
votes
2answers
103 views

Multiple extra credit questions in a homework set

Extra credit questions sometimes motivate students to study more. Occasionally I find several valuable questions which are all good as extra credit question choices but I have to limit the number of ...
0
votes
2answers
115 views

When assigning a late penalty for assignments is that penalty subtracted from the total or does it reduce the score by that percentage

When assigning a late penalty for assignments, is that penalty subtracted from the total or does it reduce the student's score by that percentage. Ex: Assignment is worth 10 points and the late ...
5
votes
0answers
75 views

Ressources for improving computational skills at the high school/university transition

Teaching first year undergraduates, I've noticed that what gives them the most trouble is simple computations like factoring, expanding, handling fractions, powers, especially when variables and other ...
5
votes
2answers
391 views

Mathematics minor requirements

My institution (in USA) is planning to introduce a minor in mathematics and here are the proposed course requirements: Calculus I Calculus II Calculus III or Differential Equations Any two of the ...
-1
votes
1answer
102 views

How to start tackling a 200 page big script? [closed]

I am really not sure how to tackle a 200 page huge script with a lot of information about the topic linear algebra. Writing down the definitions would not make sense in my opinion, because if I want ...

15 30 50 per page
1
2 3 4 5
55