All Questions
Tagged with secondary-education number-theory
12 questions
-3
votes
2
answers
175
views
Is Induction implied within Definition of Recursion? [closed]
Hi I was reading about definition of Addition:
n + 0 = n
n + S(m) = S(n + m)
Between these two above mentioned steps, moving ...
- 391
0
votes
0
answers
116
views
Resources to introduce Modular arithmetic
We have Clock arithmetic in grades 5 , 6 and thereafter nothing related to the Modular arithmetic is taught until students enter to the universities. Since this is very important topic in Number ...
- 1,154
0
votes
1
answer
318
views
Limitations of applying the factor theorem
Here are three situations in which students might try to apply the factor theorem.
Proving that $x + 1$ is a factor of the polynomial $x^3 + x + 2$ can be done using the factor theorem by showing ...
- 1,154
1
vote
3
answers
193
views
Whole numbers as sets vs abstracted properties of sets
I recently landed on a book written for elementary school teachers which introduced the concept of whole numbers in the following manner:
We have a set $\{\alpha, \beta, \gamma\}$. There are other ...
- 457
5
votes
1
answer
196
views
Are there any mathematics based game apps which require students (between 10 - 16 years) to apply their maths knowledge to play the game
So, what we essentially mean is students will apply their knowledge on divisibility, factorization, prime numbers, lcm, gcf, decimals, fractions, etc to play the game. A somewhat different approach to ...
- 151
4
votes
1
answer
169
views
Making modular arithmetic interesting for school kids
This is a pattern even school kids could discover (when gently pointed to). I never did conciously, and cannot remember to have been pointed to explicitly, neither at school nor later:
$$\color{red}{\...
1
vote
2
answers
163
views
Interesting math lesson on integers, Euclid's Elements, polyhedra, prime numbers, non-Euclidean geometry, arithmetic functions or graphs
I have to deliver a lecture for secondary school, about one of these topics: integers, Euclid's Elements, polyhedra, prime numbers, non-Euclidean geometry, arithmetic functions or graphs.
It should ...
- 113
3
votes
0
answers
225
views
How do i deal with students who make these mistakes? [closed]
I came across some interesting mistakes in many area of mathematics with my students and do not let me also to tell you for university students level, I would like to know How do i deal with ...
- 287
10
votes
3
answers
349
views
Planning high school workshop on Goldbach Conjecture
So I'm doing a mathematics education extension for my current undergraduate maths course, and for one bit of the final assessment we're asked to create a detailed lesson plan on the (strong) Goldbach ...
- 101
9
votes
2
answers
467
views
Explaining difference between natural numbers, integers, rationals, reals, complex numbers, Gaussian integers
I am teaching an introduction to number theory for high schoolers right now, and there seems to be quite a bit of confusion on what the difference between the natural numbers, the integers, the ...
- 191
15
votes
3
answers
1k
views
Should Euclid's algorithm be taught as rigid or flexible?
Euclid's algorithm is a way to find the greatest common divisor of two natural numbers $a$ and $b$.
In the usual version of the algorithm one tries to find $p,q\in\mathbb N$ so that $a=pb+q$ and $0\...
- 3,770
5
votes
2
answers
548
views
Self Teaching Theory for Olympiad. Need advice
(Cross-posted in MSE 1301476.)
I want to start to do Olympiad type questions but have absolutely no knowledge on how to solve these apart from my school curriculum. I'm 16 but know maths up to the 18 ...
- 151