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-2
votes
3answers
398 views

Why's math more complicated to understand than philosophy? [closed]

Why's math more abstruse, perplexing than philosophy? This feels true, as intelligent laypeople can understand unsolved philosophy problems and competing possible solutions, but can't understand or ...
-2
votes
2answers
115 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 ...
-2
votes
1answer
192 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 ...
-2
votes
1answer
313 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 ...
-2
votes
1answer
105 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
1answer
74 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 ...
-2
votes
1answer
156 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 ...
-2
votes
1answer
102 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 ...
-2
votes
1answer
119 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 ...
-2
votes
2answers
102 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 ?
-2
votes
1answer
82 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.
-2
votes
4answers
299 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 ...
-2
votes
1answer
60 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 ...
-2
votes
1answer
180 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?
-3
votes
3answers
619 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 ...
-3
votes
1answer
171 views

Why focus on GCD and LCM, not LCD or GCM? [closed]

Introductory Number Theory courses, and even in high school, focus on GCD and LCM. Why don't we learn more about Lowest Common Divisor and Greatest Common Multiple?
-3
votes
1answer
172 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 ...
-3
votes
2answers
281 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 ...
-3
votes
1answer
247 views

About Rote learning [closed]

Has learning through doing repetitive exercises and mechanical non-creative exercises been researched and analysed sufficiently for College and University level courses? Have there been surveys and ...
-4
votes
4answers
680 views

Why we mistaken coin toss to be an example of classical probability?

It is now well known that a random coin toss has 1/6000 probability of landing on its edge. So the out-dated model that a coin toss always land on either heads or tails with probability 1/2 is wrong. ...
-4
votes
7answers
509 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
2answers
387 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 ...
-4
votes
1answer
206 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
1answer
154 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, ...
-4
votes
1answer
103 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 ...
-5
votes
4answers
422 views

How to write an individual real number? [closed]

I just read an interesting book: "Classical and nonclassical logics", Princeton Univ. Press (2005) by Eric Schechter. On p. 208 he writes: Also for simplicity of notation, we have chosen an ...
-5
votes
2answers
135 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 ...
-5
votes
1answer
112 views

Possible Educational Outcomes of “Riemann Hypothesis” [closed]

I know the consequences of Riemann Hypothesis which are used in Number theory and Analysis. But I want to know what could possibly be the Educational Outcomes of Riemann Hypothesis, if it is ...
-5
votes
1answer
174 views

Mathematics acts as a filter to higher education [closed]

I need to comment on this topic. I think it indirectly asks about the importance of Mathematics in higher education. Am I correct ? Kindly provide the desired arguments. Thanks& regards
-6
votes
1answer
174 views

math norms for all kind of ruls [closed]

Want to ask if someone knows a official site where all kind of rules like $\infty-\infty$ or $\infty^0$ are classified. Ment an paper rule collector for that kind of definitions which has an certified ...
-8
votes
2answers
455 views

How can we explain and justify different results of universal quantification? [closed]

I will give some examples of universal quantification where the "for all" aspect holds or is violated in the limit. In some examples a failure is preserved, in others it is not. (1) $\forall$ $n \in \...

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