All Questions

Filter by
Sorted by
Tagged with
0 votes
0 answers
14 views

Importance of standardization of definitions of mathematical terms

Don't we need to use internationally recognized standards in defining mathematical terms since differences in definitions play very much important role in finding a unique solution for a given problem ...
user avatar
4 votes
1 answer
250 views

Definition for Mathematical Formula

Imagine that you were writing an elementary book, for example for high school learners, and at the beginning you had a glossary where you wanted to write the definitions for common mathematical words (...
user avatar
1 vote
2 answers
129 views

Tangent line to a curve

How would you define tangent line to a curve at a given point on the curve? I think in secondary education it is not sufficient to say a tangent line is a straight line touching a curve at a given ...
user avatar
0 votes
0 answers
61 views

Symmetry of mathematical expressions in problem solving

**How would you use symmetry of mathematical expressions in problem solving in order to save time by minimizing simplifications? This is not related to geometrical symmetry which is very much ...
user avatar
-3 votes
0 answers
66 views

Why when someone is reading it is so hard to keep attention up? [closed]

Why when someone is reading it is so hard to keep attention up? I would like to add tags like: neuroscience voice sound strategy attention speech but those are not in the list of tags
user avatar
5 votes
5 answers
1k views

Explaining difference between improper integrals that converge and diverge

How would you explain the difference in the results given by integration of the two functions $y = \frac{1}{1+x}$ and $y = \frac{1}{1+x^2}$ ? The graphs of these two function look so similar on ...
user avatar
1 vote
2 answers
171 views

What is the MOST efficient paper/mental multiplication algorithm for integers?

What is the most efficient (fastest) multiplication strategy that can be done mentally or with a pencil/paper? We can include strategies that use interesting tools like Napiers Bones or Soroban math. ...
user avatar
  • 175
11 votes
3 answers
209 views

For students who don't have instant recall with basic arithmetic, should I be stubborn about training them to have instant recall before moving on?

I'm a maths tutor, and my students/tutees are aged $11 - 18.$ Obviously I have limited time with students, usually one hour per week. Moreover, if parents don't see improvement over a year or two they ...
user avatar
4 votes
5 answers
285 views

How do I teach the difference between Linear Equations and Equation of a Line

I am more of an Intuitive Learner and Teacher so while looking at Linear Equations chapter I see that they are teaching Equations of Line there, which in my opinion is wrong. See How I understand it ...
user avatar
4 votes
0 answers
109 views

What are your experiences with Buck’s Advanced Calculus?

I stumbled across the book when searching for rigorous alternatives to Rudin with some solutions. It’s an “old school” (1965) calculus text but, I think, covers similar material to Rudin in a more ...
user avatar
  • 141
-1 votes
2 answers
384 views

Motivating Students Through "Random Teaching"

I am recently into a sort of teaching which I shall term "Random Teaching". It involves: Asking student for a random word (not related to math remotely, say "cake") Preforming a ...
user avatar
6 votes
1 answer
189 views

Multivariable Calculus Project Ideas

Next semester, I am going to teach a small section of advanced high school students a class of Multivariable Calculus (it's about 3-4 students that have completed AP Calculus BC). Multivariable ...
user avatar
  • 1,982
6 votes
2 answers
160 views

Are there pre-printed wall images that might engender understanding in a very young child?

I just read Moebius Noodles. (Thanks for the recommendation Sue). Part of the book talks about keeping images about math around the house. My child's 18 months. But I figure, why not now. It's passive;...
user avatar
  • 579
1 vote
0 answers
81 views

References to learn modern functions applied to integration and numerical series problems and how to teach them to Calculus students

I think most of us have met integration problems concerning the trigonometric, polynomial, exponential, hyperbolic and power functions in the calculus courses. But many of the problems in this website ...
user avatar
2 votes
0 answers
68 views

What software can I use for remote math tutoring?

I am preparing to do some remote tutoring and I am looking for software to help me out. Requirements: Drawing area shared by the tutor and the student, both can draw on the page Multiple drawing ...
user avatar
  • 129
3 votes
3 answers
790 views

Walter Warwick Sawyer: How has reading his works changed your learning or teaching? [closed]

I recently worked my way through Walter Warwick Sawyer's book, Mathematician's Delight, which has opened my eyes to Maths. I used to fear maths, feeling I was incapable. Sawyer (among other authors) ...
user avatar
4 votes
1 answer
229 views

Is there a widely respected early childhood math curriculum?

If it's a good idea to work on reading and language from early childhood, I'd bet that it's a good idea to work on math and quantities too. I have an 18 month old. I've pretty much been winging it ...
user avatar
  • 579
3 votes
5 answers
428 views

Can a science educator teach math?

I don't mean to sound rude and denigrating to math educators but I always imagined that a science teacher (physics/chemistry), who has to know math, would be eligible to teach math? Ignoring the ...
user avatar
  • 797
6 votes
0 answers
91 views

How does the average level of expected mathematical sophistication at Highschool level increase?

I remember reading some old Calculus book (1920-1930 time) and in the pre-face it was written it was being revolutionary in being one which could be used to teach in highschool out of. Nowadays, that ...
user avatar
5 votes
2 answers
918 views

Is "Annular Ring" redundant?

I've come across the term annular ring in parentheses following washer in my calculus textbook: "has the shape of a washer (an annular ring)". The definition of the word "annular" ...
user avatar
  • 153
3 votes
0 answers
86 views

How to let students answer a Moodle Quiz by typing (or pasting) LaTeX code?

Good morning, I use Moodle for Mathematics High Schools Students. They have to reply to questions by writing some short formulas. I've not yet figured out a way of doing this without installing ...
user avatar
3 votes
1 answer
219 views

Simple way to explain Sine theorem applications

what is the simplest way to explain how to determine whether the resolution of a triangle (finding all its sides and angles, given 3 of them) using the sine theorem gives one or two solutions and ...
user avatar
  • 39
3 votes
2 answers
149 views

How to study for a mathematics undergraduate entrance examination?

TL;DR: Tell me which topics should i study the most, based on this three tests: Mathematics (A): 2020 2019 2018 This question may sound a bit weird, since the natural answer would be "study ...
user avatar
  • 39
4 votes
2 answers
1k views

Is the Wronskian still assumed for graduate education?

About thirty years ago, in a practice GRE (Graduate Record Exam) math test in the US, a question assumed the student knew the definition of the Wronskian. I had never heard of this determinant before. ...
user avatar
6 votes
3 answers
947 views

How can I improve my Retake Policy?

I teach Pre-Calculus at a public high school in the United States. This school year, I allowed my students to retake any assessment regardless of how they performed on their first attempt. However, ...
user avatar
  • 1,019
4 votes
1 answer
105 views

How to create a platform for students asking questions quickly and privately?

When studying math in class, many students have a few moments falling behind, and they are reluctant to ask a quick question. Do we have a way (like an online web page or tool) for students to quicky ...
user avatar
1 vote
2 answers
180 views

Importance of exploring skills in mathematics

How can you improve exploring skills in high school mathematics education in order to guide students to get better opportunities to become mathematicians ? Here are my suggestions, Let students to ...
user avatar
2 votes
0 answers
111 views

Generating exercises about extrema of $f(x,y)$

(I have asked this question on math.stackexchange.com and according to a suggestion from comments I am re-asking it here.) I can generate many examples of functions $f(x,y)$ for which finding local ...
user avatar
5 votes
3 answers
336 views

Is there anything one can do for students who have given up?

In each class, there are often a few students who seem to have given up early on. In my recent discrete math class, when I asked a student a question, he said he was working on his graduation project. ...
user avatar
12 votes
14 answers
3k views

Examples of relations that are not functions

When teaching functions, one key aspect of the definition of a function is the fact that each input is assigned exactly one output. I always felt that the "exactly one" part is confusing to ...
user avatar
  • 2,182
17 votes
4 answers
5k views

Explaining why volume of cone is a third of cylinder

I came across this video explaining to kids why the volume of a cone is a third of the cylinder of same cross-sectional radius and height. Essentially the explainer presents pre-created cylindrical ...
user avatar
  • 273
2 votes
3 answers
608 views

Equation of a straight line on two dimensional Cartesian plane

What is the most appropriate way to write equation of a straight line through a given point $(\alpha,\beta)$? If you write it using the standard form $y- \beta = m (x - \alpha )$ Where m is the ...
user avatar
-1 votes
5 answers
289 views

Is it considered a mistake to use different correct notation for writing intervals?

Standard definition of writing interval states that it should be written (a,b) where a<b Due to this being arbitrary and just a convention that we all use, would it be considered a mistake to write ...
user avatar
9 votes
1 answer
238 views

How well can students learn abstract concepts through concrete examples?

In my own personal experience in teaching linear algebra, where many students encounter abstract ideas for the first time, I find that most students have trouble consolidating observations from ...
user avatar
  • 191
3 votes
3 answers
3k views

What are some examples of great functions that are not too elementary (easy)?

I am teaching precalculus/basic calculus to my class (high schoolers of around 18 years of age), and I'm always searching for nice functions to plot and study (finding the domain, the function's sign, ...
user avatar
0 votes
3 answers
198 views

A good way to learn differential equations rigorously

What would be a good books of learning differential equations for a student who likes to learn things rigorously and has a good background on analysis and topology?
user avatar
  • 11
11 votes
6 answers
507 views

What are best practices for building a dedicated space for mathematics majors?

The math department at my institution (a private, four-year college with a total enrollment of about 4000) is in the process of brainstorming about a dedicated study/community space for our math ...
user avatar
  • 1,049
6 votes
2 answers
152 views

Where can I find a collection of bad/misleading data visualizations?

Are there any collections or blogs of bad data visualizations? I know I've seen such misleading graphics in the news or in print, made misleading either maliciously or thoughtlessly, but I usually see ...
user avatar
  • 4,412
7 votes
3 answers
390 views

How can you elicit the $\log x = {\log} \cdot x$ error?

You know the error, when you're watching a student work through an algebraic calculation to solve for a variable trapped in the argument of a function, usually $\log$ or a trig function, and you watch ...
user avatar
  • 4,412
3 votes
5 answers
2k views

What term describes the relationship between tenth, hundredth, thousandth and the number ten?

What term describes the relationship between tenth, hundredth, thousandth, et cetera (1/10, 1/100, 1/1000, ...) and the number ten? (Despite what some may say, I don't accept that "decimal" ...
user avatar
10 votes
2 answers
602 views

Real-world applications of taxicab metric

The taxicab metric can be used to measure distances in idealized gridded cities. However, usually this serves only as a fun exercise for students. I'm looking for engaging (as non-technical as ...
user avatar
  • 251
3 votes
4 answers
378 views

Student forgets to remove dx after integrating

I am tutoring another US college student in a Calculus 1 class. Initially, she was having trouble with basic concepts, but after much prodding most of the conceptual difficulties seem to have been ...
user avatar
  • 137
0 votes
6 answers
821 views

Finding an analogy to explain the function of a binary adder

I want to find an intuitive analogy to explain how binary addition (more precise: an adder circuit in a computer) works. The point here is to explain the abstract process of adding something by ...
user avatar
3 votes
2 answers
202 views

How to understand the book and the material to the deepest possible level?

I'm a first year mathematics major and I have a problem with my learning process. In my university, I only have books and questions that the university published, so I have to learn the most of the ...
user avatar
3 votes
5 answers
1k views

Do we need to practice equation derivation while learning math if equations will be chunked and automatized?

When I was learning the Pythagorean theorem(at time A), I was just told to memorize it. I used it often before trying to derive the equation(at time B), and I think actually I have forgotten the ...
user avatar
8 votes
0 answers
166 views

References for mathematical notation for foreign students in the U.S

I teach quite a few foreign students at a U.S. university. Frequently students are placed in our most remedial math class due to not having placement scores and failing to test out of the course. I ...
user avatar
  • 301
7 votes
1 answer
120 views

Resources for Teaching Parameterization of Curves/Surfaces

In classes like Calc 3 or Computer Graphics, I want my students to be comfortable describing common curves and surfaces parametrically (such as lines, triangles, circles, or surfaces of revolution). ...
user avatar
  • 1,939
9 votes
2 answers
284 views

Is it normal for a child to strongly prefer addition to subtraction?

My six-year-old daughter enjoys addition but not subtraction. When we walk together, I like to give her some "mental mathematics" questions, such as "What is 13 plus 33" and she ...
user avatar
  • 4,015
10 votes
6 answers
4k views

What should be memorized in math and what should be reference table?

I can never figure out what should be a memorization concept and what should be in a reference table. For example, in calculus, you are expected to memorize all the derivatives and integrals but in ...
user avatar
  • 797
3 votes
1 answer
221 views

What kind of general advice for studying math we can offer undergraduate studens who do not major in math?

I have received request from a student, who is not in math major, asking me for advice on How to keep motivated when studying math (calculus, linear algebra, etc.) What does one need to do beyond ...
user avatar

15 30 50 per page
1
2 3 4 5
67