All Questions
3,559
questions
-1
votes
1
answer
166
views
Learning, exams, math degree
I have only passed the one fourth of my courses so far, which means like one year of the maths undergraduate studies. I live in a different place from where the university i study at is and try to ...
- 159
-1
votes
2
answers
83
views
Can anyone help give pointers of Mathematics Story Telling Animated Videos for Age Group 10 - 15?
Ideally, these videos should talk about a real life problem which student can relate to and then showing logically how the problem can be solved. Later bringing in the right mathematical tool to solve ...
- 151
-1
votes
1
answer
114
views
Math elementary textbooks [closed]
I’m a master student in Turkey. I’m researching math textbooks from different counties to compare them for my thesis. However, it is really difficult to find them. I need your suggestions. Or is there ...
-1
votes
1
answer
145
views
How helpful are university subject rankings when choosing a place to study math?
There are many university ranking consultancies trying to compare one leading maths department with another and to conclude which one is better. Although this doesn't seem to be a very reasonable ...
- 1,635
-1
votes
1
answer
143
views
Calculus book for basic calculus and repetition from videregående (Norwegian high school)
Does there exist a textbook in Norwegian (bokmål and nynorsk should both be fine) that covers the more advanced mathematics (needed for calculus) from videregående (secondary school, includes both ...
- 5,940
-1
votes
1
answer
113
views
books of mathematics [closed]
a)I am trying to get a book that would give describe all the coordinate systems and their transformations(e.g. cartesian,polar,spherical,homogeneous,curvilinear,generalized,etc).
b) And I need to ...
- 31
-1
votes
1
answer
185
views
Can I motivate kids to do math by giving them candies? [closed]
I am talking about literally asking for kids' time/attention by offering them candies: not giving them tasks about summing real candies, etc.
I try to teach math from time to time to my relatives of ...
- 127
-1
votes
1
answer
161
views
What textbook is this chapter from? [closed]
I was looking for a good explanation text on single-variable calculus, especially limits, introduction and examples. I found this pdf and I really like it and would like to read the whole book. I was ...
-2
votes
4
answers
352
views
How can students prognosticate to rewrite the same sum backwards, then add the same sum twice?
This comment doesn't fulfill my students or me, because it doesn't demystify this trick of writing $S_n$ forward, then backwards, then adding. What would spur students to action these unnatural steps? ...
user155
-2
votes
3
answers
179
views
A linear equation -- my approach
Here is an example of a lesson I did on linear equations where my objective was to show that they are equations of first degree. The reason I do it this way is because I tend to find that students ...
- 189
-2
votes
1
answer
359
views
Why are math test scores dropping in America? Lack of student responsibility movement [closed]
Someone asked me this question today. Why do you honestly believe that high school math test scores in America (particularly the United States) are low compared to other countries? I thought about ...
- 605
-2
votes
2
answers
111
views
Math questions for math game
I am building a math game, the Problem I am not a math teacher. :)
So I am trying to find the best way to create questions for different ages and different levels, I tried to google it but no luck.
In ...
- 105
-2
votes
2
answers
128
views
Should the limits of one system of elementary set theory be the limits of a student's mathematical world? [closed]
In teaching elementary set theory, suppose we refrain from emphasizing historical decisions that were made in theory construction.
Is there a danger that students may see the mathematical language ...
- 310
-2
votes
1
answer
213
views
Kid, 8 years old, developed a new calculation algorithm [closed]
I have a kid, 8 years old. The boy has phenomenal math skills. When he was 6 he was solving fractions with roots, writing Fibonacci series and much more.
Now he developed a new calculation algorithm ...
- 11
-2
votes
1
answer
148
views
Finite sum of infinite series
I have two issues related to finite sum of infinite series,
1) How you would to describe 2 when you talk about the infinite geometric series 1+ 1/2 + 1/4 + 1/8 + .....
2) How you would compare using ...
- 691
-2
votes
4
answers
346
views
Good textbooks for a college Basic Geometry course?
I will be teaching geometry for the first time ever this summer. I teach at a community college, and we only offer this course in the summer. (Mostly high school students take it, but it is a college ...
- 19.2k
-2
votes
1
answer
367
views
Proving basic Theorems and properties in high school [closed]
Why high school teachers do not emphasize knowing the proofs of properties and theorems in math. In my 40 years of teaching prospective high school teachers, I rarely found students who can derive ...
- 23
-2
votes
1
answer
117
views
Finding an error in a partial integration [closed]
There must be an error in this partial integration but I do not see it. Do you see it?
-2
votes
1
answer
103
views
Where can I find the partial order relation of prerequisites of undergraduate courses in the United States?
Let $A$ be the set of all undergraduate mathematical courses in the US and define a binary relation $\leq$ on $A$ such that for elements $a,b\in A$ (that is, $a$, $b$ are undergraduate mathematical ...
- 4,119
-2
votes
1
answer
166
views
Could students be taught the concept of rational numbers the same way as in the Formal construction section of the Wikipedia article rational number?
Link to article cited in title, Wikipedia rational number.
According to this answer, some students 14-18 are still struggling to understand fractions. Maybe some students know how to perform the ...
- 501
-2
votes
1
answer
115
views
On doing scientific research [closed]
What I want to ask is: can I use the results of others when doing scientific research, whether it is math, physics or other science, without trying to prove them myself or try to verify them? For ...
- 159
-2
votes
1
answer
129
views
When a geometrical figure a special case of another [closed]
Squares are special types of rectangles.
Are circles special types of ellipses/ovals?
Are cones special types of pyramids? I guess the answer is no because of the 2D basis: circles are not special ...
- 574
-2
votes
1
answer
130
views
symmetry of a square - is it possible pure geometric approach in didactics? [closed]
Consider a square : four points in a plane constructed with classical means (compass and straightedge). Since no point is different from others (no coordinates, no labels...) it seems that we can not ...
- 1
-2
votes
1
answer
182
views
Why do we use polysemy?
From Polysemy - Wikipedia:
Polysemy (/pəˈlɪsɪmi/ or /ˈpɒlɪˌsiːmi/; from Ancient Greek πολύ- (polý-) 'many', and σῆμα (sêma) 'sign') is the capacity for a sign (e.g. a symbol, a morpheme, a word, or a ...
- 1,482
-2
votes
1
answer
125
views
How to solve the simple elementary school math issue--calculate increase rate [closed]
A company report its net profit 1,000,000 in 2000,and earned 1,100,000 in 2001,so the earning increase rate from 2000 to 2001 is as below:
...
- 105
-2
votes
2
answers
118
views
What are the uses of calculus in every day life? [closed]
Can anybody say me what is differentiation and integration and what is the use of these ?
- 1
-2
votes
1
answer
88
views
How do I solve this ratio problem? [closed]
Here is the problem:
If Bill takes 3 hours to paint a room and James takes 5 hours to paint a room, how long
will it take to paint a room if they work together? Show your working.
Thank You.
- 1
-2
votes
4
answers
370
views
Inefficient methods
I see many teachers use slow methods to solve a given problem where there's another faster methods that doesn't demand much more effort. I'm not looking for mistakes like saying that $a$ is the slope ...
- 1,468
-2
votes
0
answers
53
views
Free Cash Flow Question [closed]
BEFORE READING. If this is going to be closed for being unrelated, could someone point me in the right direction? This will be my 6th failed post, can't find anywhere to accept it.
Q "A company ...
- 1
-2
votes
1
answer
201
views
math syllabus US education system 1-12th Grade
Please share links to websites / pdf files containing syllabus in subject mathematics in US education system Grades 1-12.
Thank you.
- 7
-2
votes
2
answers
175
views
Is applying maths a 'hard problem' and how does the profession help?
Question: Is there such a thing as an Applied Maths profession?
In my engineering experience we were often at a loss as to which mathematical approach to take, and there seemed no obvious way to find ...
- 5
-2
votes
1
answer
63
views
Relational understanding for a specific topic
I want to aproach the undertanding of the trigonometric function based on the concept of relacional undertanding, but I have problems to came up with and problemic situation for it. I mean I don´t ...
- 101
-2
votes
1
answer
208
views
What is the best way of introducing set theory? [closed]
The students are aware of mathematical logic and proof but have not come across any of the notions of a set. What is the most natural and motivating way to introduce set theory?
- 1,235
-3
votes
3
answers
685
views
How can I convince my brightest student of Cantor's theory?
At the end of the mathematical high-school education I usually introduce the easiest facts of set theory: counbtability and Cantor's proof as the basis of modern mathematics. Now my brightest student ...
user8455
-3
votes
3
answers
1k
views
Why so many single-variable calculus textbooks? But still no equivalents to Visual Group Theory or Complex Analysis for other subjects?
OUP published Visual Complex Analysis in 1999. MAA published Visual Group Theory in 2009. But no visualization counterparts have been published for other subjects like (Commutative) Algebra, ...
user155
-3
votes
1
answer
213
views
A role for a non-symmetric equality relation in teaching mathematics? [closed]
First, I will simply observe that it seems to be standard practice, in elementary set theory, to define relations to be sets of ordered pairs. If we had the option of introducing a "symmetric ...
- 310
-3
votes
1
answer
85
views
Abstract math and making proofs
What is abstract math about? I think we can not visualise probably what we read. Or can we? I am talking about the theorems, definitions and proofs in areas of math like Riemannian geometry, ...
- 159
-3
votes
2
answers
144
views
Best natural language(s) for conveying, conceptualizing, teaching, understanding, and learning Probabilistic & Statistical concepts & theory?
English can be precise but it is rather 'flowery' and easily gets in its' own way. East-Asian natural languages like Mandarin, Cantonese, Korean, and Japanese are notorious for permitting the ...
-4
votes
7
answers
560
views
How to correct a wrong mental picture of the limit?
According to my experience many students get in school a wrong mental picture of the limit as something that is realized after infinitely many steps. They think that $0.999...$ and $\sum\limits_{n=1}^\...
-4
votes
2
answers
436
views
Could schools jump straight into teaching real numbers first then teaching fractions later?
Some students really struggle to learn fractions. Not only that but also, once they've mastered an understanding of real numbers, they can learn about fractions so much faster and more efficiently ...
- 501
-4
votes
1
answer
176
views
Is there an **official** name for the following "digit reduction" operation? [closed]
In one of my programs I have a function I call reduce(n) which associates to n the recursive sum of ...
- 125
-4
votes
2
answers
148
views
Mathematics and love [closed]
This might seem a bit misplaced, but, is very relevant to mathematics education.
The question is, how can I love someone, and teach students to love, or attempt and complete actions of love, through ...
-4
votes
2
answers
187
views
What is the most fundamental continuous function in calculus after a constant (totally straight) line?
What would be to teach in most countries and education systems?
(Taught before "high education frames", i.e. before doing bachelor of arts in mathematics).
-4
votes
1
answer
239
views
When should the limit be introduced?
Usually school children are taught fractions and decimal representations way before the notion of limit. So they must come to the idea that infinite decimal sequences like 0.999... are the same as an ...
-4
votes
1
answer
223
views
Can you talk about (the rest of the) field axioms when the operations are not closed? [closed]
Note: Updated based on this.
In my course, my instructor posed the following exercise:
Let $S$ be the subset of $\mathbb R^n$, $S=\{(a_1,a_2,a_3...a_n) | a_2 = \pm a_1, a_3=...=a_n=0 \}$. Define ...
- 574
-4
votes
2
answers
336
views
Missing Step in Most Proofs of the Irrationality of $\sqrt{2}$ [closed]
Numerous online resources parrot the usual proof by contradiction of the irrationality of $\sqrt{2}$. These all rely upon the assumption that the rational form (say, $a/b$) is in its simplest ...
- 484
-4
votes
1
answer
176
views
Who are in the current top 10-20 applied mathematics educators and in what fields? [closed]
Who are in the current top 10-20 applied mathematics educators and in what fields? (Answers will be varied)
Applied mathematics educators that teaches applied math topics such as applied statistics, ...
- 91
-4
votes
2
answers
279
views
Is it nonsensical to try to 'prove' Euler's 'formula' in real numbers? What is Wikipedia/proofwiki even doing? [closed]
Edit re the close vote: I guess this 1 of those questions whose on-topic-ness depends on the answer. If the answer is no, then well maybe it's off-topic. But if the answer is yes, then I believe it's ...
- 574
-4
votes
1
answer
149
views
Is it weird for an undergrad or grad quant/applied maths(/even pure maths) programme to not teach that probabilities of 0 or 1 will never change? [closed]
Edit: i didn't mean it like this programme should do this or that. i mean other people are accusing me like 'your programme should've had this or that' (actually they're saying that i should know this ...
- 574
-4
votes
1
answer
87
views
Help me to prepare for my first job interview presentation
My First Job Interview presentation topic for a permanent assistant lecturer position in Mathematics and Data science is below:
''You have been asked by your Head of Department to design an elective ...
- 93