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Questions tagged [gifted-students]

For questions about "gifted" students, i.e. students who are talented, motivated, and predisposed to studying mathematics.

-2
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1answer
154 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 ...
9
votes
5answers
221 views

Mathematics exam — How to keep brain functioning through a four-hour exam?

So my question isn't directly related to math, but I think you might be able to help me. I'm a 17 year old, last year at school. My class specializes in math/physics (that's our educational system in ...
5
votes
4answers
255 views

Extension activities in Algebra II

I'm in Algebra II this year, and I have to admit, it's kind of boring. The only new thing we've touched on so far this year is how to graph piecewise functions, and those are really easy to graph. ...
10
votes
4answers
350 views

How to deal with a talented 11-year-old pupil?

Imagine a child aged 11. They have just finished primary education and now moving into secondary education. This child has shown a great mathematical talent/disposition since a very young age. By the ...
1
vote
1answer
138 views

Math Scholarships for the highly advanced

I was wondering if there are any special math scholarships in the United States of America for High School students with high capacity in mathematics. At the age of merely 16, I see great potential ...
7
votes
4answers
228 views

Teaching arithmetic operations ($+ - \times \div$) to a 3 year old

What is the best way to teach the standard arithmetic operations ($+ - \times \div$) to a 3 year old child? Also: How we do know if the child has really understood it? can a kid be 3 years old ...
3
votes
1answer
271 views

What are sources for non-routine problems involving quadratic functions (in one variable)?

I'm planning to get some sources which explain beautiful problems about quadratic function. I know that there are another kind of functions, but the quadratic function has different applications in ...
12
votes
3answers
941 views

Challenge questions for extremely bright kids

I suppose this is the place for my questions as much as any place is: I'm a math student coming on my 3rd year of undergrad, and I am working as a counselor at a Summer math camp. The camp is for 12-...
13
votes
1answer
863 views

High-school level algebra textbooks for gifted students

Note. I asked the question below on Math Stack Exchange (link), but didn't get a really satisfactory answer there, so I'm posting it here too. I am looking for high school algebra/mathematics ...
4
votes
1answer
85 views

Continuity of classes split between different days

Context: Because of organizational mess, there is a high chance that I'll be preparing a ~3h class for gifted students during a spring-camp (a week-long gathering full of all kinds of nice things to ...
32
votes
4answers
1k views

Effects of early study of advanced books

Context: There was recently a question on Math.SE: Inferior to Other Younger and Brighter Kids which starts as follows: I'm a high school student (Junior/Grade 11) and I'm currently studying ...
3
votes
3answers
933 views

interesting/challenging geometric constructions for gifted secondary students

I have three students in my secondary geometry class that just destroy everything I throw at them. I tasked them with writing the word problems for their midterms and one of the three wrote simply "...
17
votes
3answers
723 views

How can I teach Mathematics to genius students?

I'm a Math Teacher for highly talented students in High School. It's hard for me to determine how fast can I move through topics and how deeply can I dive into different math subjects for enhancing ...
5
votes
3answers
799 views

Honors project idea for linear algebra

At my institution there is an Honors program which encourages (or requires) students to petition classes for Honors. Basically, what this amounts to is the student has to write a 10 page (not set in ...
5
votes
2answers
172 views

Fractal Generation Project: How to Continue?

Three months ago, we defined a programming project for some gifted middle school students: Writing code to generate simple fractals. Two of them have finished writing Pascal programs already! The ...
16
votes
6answers
6k views

How to deal with fast students without neglecting weaker ones

In my class, what often happens is that some smart students do problems faster than other students. And they are actually going well ahead of my course plan. While I am teaching to other students a ...
6
votes
3answers
763 views

Problem of a talented student who doesn't like to solve too much problems

Recently I have been perplexed by a non-mathematical problem. One of my Indian student-friend is preparing for the next year's IMO exam but he says that he doesn't like simply doing hard and ...
46
votes
9answers
13k views

How to handle the situation where a student insists I am wrong during the class?

I had one very vocal student in my Calculus recitation last year. Sometimes she would point out if I made a mistake in the lecture. However, sometimes she would insist that I had made a mistake, ...
20
votes
3answers
1k views

How to advise students who want to do a “Bourbaki”-style study?

There are some good students who understand a lot and are very critical. Such students tend to think that they will only understand abstract algebra if they have followed a course about logic; or they ...
10
votes
2answers
153 views

How does an advisor effectively motivate progress on an independent project?

When an excellent student is working on an honors or independent study project, the advisor's job is to not only serve as the content expert, but also to motivate the student to complete the project. ...
18
votes
5answers
781 views

How to nurture a good student?

When you encounter a very bright student in a first-year (college/university) class (and who is therefore bored), what do you do? Leaving them to their own devices can be problematic. It can lead to ...
18
votes
5answers
509 views

Presenting a solution with a stroke of genius

When presenting the $3$-dimensional proof of the Desargues' theorem an average student might have, speaking informally, a "WTF moment". It is an extreme case, but a similar situation could happen in ...
13
votes
2answers
372 views

Splitting the students by abilities

Disclaimer: This question will use as an example a computer-science university program, because it is much easier for me to describe and give some statistics, but it applies to math as well. The ...
24
votes
2answers
1k views

Students who know high-level math before going to college

There is a high school in the city I live in which has some high-level math courses in their curriculum. It's a special math class mentored by some university lecturers, and the children basically do ...