23-07-2008 (by Tlaulli Rocío Preciado)
El morelense Aldo Pacchiano Camacho ganó la medalla de plata en la Cuadragésima Novena Olimpiada Internacional de Matemáticas, celebrada en Madrid, España, que es considerada la más importante a nivel internacional.
Este martes concluyó dicha competencia, en la que participaron 535 concursantes de 97 países de los cinco continentes del planeta. La delegación mexicana estuvo conformada por: Aldo Pacchiano Camacho y Andrés Campero Núñez, de Morelos; así como Manuel Guillermo Buenfil, de Chihuahua; Manuel Jesús Novelo Puc, de Yucatán; Malors Emilio Espinoza Lara y Rodrigo Mendoza Orozco, ambos de Jalisco.
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La justa de conocimientos, que comenzó el 10 de julio y concluyó este martes, se desarrolló en Madrid, España. Cabe señalar que
la Olimpiada Internacional de Matemáticas es la competencia mundial más importante a nivel internacional en dicha matera. En ella participan alumnos inscritos en los niveles medio básico o medio superior.
El objetivo principal de dichas olimpiadas, en cualquiera de sus versiones –nacional, regional o internacional–, es crear y promover el interés por las matemáticas para impulsar el desarrollo de la ciencia y la tecnología en los respectivos países. Con tal fin se enfrenta a los estudiantes a problemas que requieren para su solución, además de esfuerzo, una buena dosis de creatividad, imaginación e ingenio.
Ambos investigadores mencionaron que los problemas de olimpiadas matemáticas no son los problemas a los que un alumno se enfrenta dentro del aula, pero se mantienen dentro del ámbito de los temas de matemáticas de la educación media básica y media superior, tales como Geometría, Teoría de Números (aritmética), Combinatoria y Álgebra.
El concurso se realiza en dos sesiones de cuatro horas y media, en cada una de éstas los estudiantes se enfrentan a un examen escrito consistente en tres problemas. Éstos son calificados por el jurado, constituido por los jefes de delegación, profesores del país sede y miembros del tribunal internacional.
En este tipo de concursos se busca premiar a la mitad de los participantes, por lo que la distribución de las medallas se realiza de la siguiente manera: una doceava parte obtiene medalla de oro, dos doceavas partes obtienen medalla de plata y finalmente tres doceavas partes obtienen medalla de bronce.
Cabe recordar que Pablo Soberón Bravo, también estudiante de Morelos, ganó en la edición del año 2006, efectuada en Eslovenia, la medalla de oro en esta misma contienda.
1) What is needed to solve difficult mathematic problems?
2) Solve the problem with fractions that tells us how many participants have received a medal.
Wow!!! That’s incredible. Obtain the silver medal when there were 535
participants, that’s good. But, I don’t know why they wanted to reward at the
half of the participants. Well, I think this new haven’t got more things to
discuss. Se You Soon!!!
Now I’m going to answer the questions:
1) Well I think that to solve difficult mathematics problems, you need a good, a
very good, and a very very very good brain. Also, I think that mavy you need a
little of imagination and translate the problem to the real life. I don’t know if
you understands me, but If you don’t, is not my problem.
2) Wow!!! With Fractions you obtain more punctuation. That’s strange
because I don’t know how to solve problems with fractions, well, I’m not sure
that I can now use fractions in other aspects.
Here there are the aswers to the questions you had proposed:
1) For solving difficult math problem i would say the same as Joan: imagination and find a exaple on the real life.
2) The half of the participants received a medal. Maybe you wont be agree with me but this big giving of medals is because as there is very low people going there and they give a lot of medals (to the half of the participants) to encourage people to participate.
I’m going to answer the questions;
1) I think that to solve a difficult mathematic problems you have to have a big brain and with many information of “the world of the mathematics. On the other hand, also, you have to have imagination and creativity.
2) Well if I solve a problem with a dificult fraction I think that if they’ll give me a medal, but I’m not sure that all the people that do maths on a class or elsewhere know solve a very difficult and complex fraction if they are on the first cycle.
1) The text says that to solve problems we need efford, creativity and imagination but I think that if don’t have knowledge and if you are not good at maths, you have nothing to do there.
2) There are 535 persons 1/12 win gold medal, 44,58.
2/12 win the second medal, 89,16
3/12 win the third medal, 133,75
Well, these are my answers for your questions:
1) What is needed to solve difficult mathematic problems?
The text tell us that we need our effort, creativity and imagination for solve difficult mathematic problems, but I think it’s not only that what you need. It’s true that with effort you could solve it, but I think the most important thing you need for solve a diffucult problem is some knowledge of what you’re doing. Because if you don’t know anything of maths you can not solve the problem.
2) Solve the problem with fractions that tells us how many participants have received a medal.
The text says us that:
-There are 535 persons.
-1/12 win gold medal.
-2/12 win silver medal.
-3/12 win bronze medal.
If you add the fractions (1/12 + 2/12 + 3/12 = 6/12) you see that the half of the participants get a medal.
Answer: 6/12 of the participants had a medal. So, more or less 268 participants (the half) get a medal.
Here are the answers for your questions:
1)What is needed to solve difficult mathematic problems?
The text says that you need effort, creativity and imagination for solve this type of problems, but I think that you have to know something about maths, because, if you do not know what are you doing, you can’t solve a problem , with imagination. Imagination? First of all you have to know what means the problem, then think about the possible solution and then with the effort and your theories, you will solve it.
But if you fail, then, you can consider the problem with another way, with creativity or, perhaps with your imagination, but I think that what you need to solve a problem is a big brain with many information of “the world of the mathematics” like Maria says.
2) Solve the problem with fractions that tells us how many participants have received a medal.
The text says there are 535 persons and that the 1 / 2 has won the gold medal, 2 / 12 has won the silver medal and the 3 / 12 has won the bronze medal. Then you add all the fractions and the result is 6/12.
So, the half of the participants has won a medal.
1)What is needed to solve difficult mathematic problems?
The text says that to solve problem we need efford, creativity and imagination to solve difficult problems, but I think that only with this we can’t solve any problem, because we need to understand the problem too. So if we have a difficult problem, if we don’t understand what the problem is about, we can’t do anything. I’m agree with Raquel about she says that if a person are not good at maths this person has nothing to do.
2) Solve the problem with fractions that tells us how many participants have received a medal.
·There are 535 participants:
-1/12 has won the Gold medal.
-2/12 has won the Silver medal.
-3/12 has won the Bronze medal.
·The operation is:
1/12 + 2/12 + 3/12= 6/12
·Answer:
The half of the participants have won a medal.
1) What is needed to solve difficult mathematic problems?
I think to solve difficult mathematic problems you need above all things to see a little intelligent and you need to have interest for mathematics. When you have this you need to be creative, imaginative and ingenious.
2) Solve the problem with fractions that tells us how many participants have received a medal.
There are 535 participants and 1/12 of them recived the Gold medal, 2/12 of them recived the Silver medal and 3/12 of them recived the Bronze medal.
The half of the participants have a medal.
I think that now it’s a little bit unnecessarilyanswer the question two we already know that the result is that the half of the people that participate there won a medal that is 6/12 but I think that all my mates have forgot to simplificate it: 1/2 (one half).
And in my opinion the first question is interesting an my answer is:
Noelia said the other day that all humans can calculate, so she can do it too. And I think that is more or less the same: all the humans can solve problems (in his daily life) so I can did it too. I think that you don’t need something special every one in this world can solve a difficult problem. But you need something very important, may be the most difficult thing: is desire and commitment of doing it. It seems easy but few people have it. And we should think about it and take time to solve a difficult problem, because it probably would help us.
Mariona,
I hope you enjoyed my little reflection.
Hey!!!
1) Answering question one, I think that for solve difficult mathematic problems, first of all you have to love maths! If not, you won’t enjoy the experience. Second: you have to know a lot of math, pure and nature. Third: you have to make an effort to be creative, ingenious and original with your work. Conclusion: You have to be crazy!!!
2) Ok. Let’s see:
If there are 535 people that participate and:
1/12 has won the Gold medal, 2/12 has won the Silver medal and 3/12 has won the Bronze medal you have to sum it and… 1/12 + 2/12 + 3/12= 6/12=1/2
So: The half of the participants have won a medal (that’s not exactly because 535 It’s not a even number). That’s all!
Hey!, I’m going to answer the two questions of the new.
1)What is needed to solve difficult mathematic problems?
The text says us that to solve a difficult mathematic problem you need imagination, effort and creativity, but I think that you need to understand the problem and you need knowledge.
2)Solve the problem with fractions that tells us how many participants have received a medal.
Well, If there are 535 participants:
1/12 win the gold
2/12 win the silver
3/12 win the bronze
Because if we sum the three fractions we obtain 6/12 that equals the half and the text says us that only the half of partcipants won a medal.
The last coment is from Clàudia Perona.
This is the answer of the questions:
1) What is needed to solve difficult mathematic problems?
I think that you need to have like the text says, creativity, imagination and ingenuity, but you need some thiks more like understand the problem and love math that you can imaginate the question.
2) Solve the problem with fractions that tells us how many participants have received a medal
The fraction is this:
1/12 has won the Gold medal: It is 48.53 that it is between 44 and 45 persons that have gold medals.
2/12 has won the Silver medal: is 89.16 that is between 89 and 90 person that have silver medals.
3/12 has won the Bronze medal:It is 133.75 that is between 133 and 134 persons that have bronze medals.
This is the operation:
1/12 + 2/12 + 3/12= 6/12
The half of participants have medals but specifically beetween 266 to 269
Hey, what’s up, guys? I would like to answer these questions:
1) First of all: PATIENCE. Second: MORE PATIENCE. Third: Imagination, creativity, and… EVEN MORE PATIENCE. Logically, you must understand a problem (a math problem or whatever kind of problem) if you want to solve it, right? And at last, but not least, you MUST enjoy maths. If not… let’s say you won’t have a pretty good time, heheh.
2) Right: we have 535 people participating.
1/12 won a gold medal, which are more or less 44-45 people recieving a gold medal.
2/12 won a silver medal, which would be 89-90 winnig a silver medal.
3/12 won a bronze medal; that is, 133-134 people.
We sum up everything and… what do we get? –> 6/12= 1/2, which is the half of the participants that were rewarded (266-269).
Well, you had a 50% chance of being rewarded if you had been doing an effort. Not bad, right?
Well, here you are my answers:
1) As the text says, you need effort, creativity, imagination and ingenuity. But what I really tihnk you need to solve a very difficult problem is organization and a espectacular mind.
2) So, if we sum all this fractions we obtain the half of the people that has got a medal (because just the half of the people have a medal).
1/12 + 2/12 + 3/12 = 6/12 is the fraction that represents the half of the people.
supposing that 12 are all the people (535)…
6/12 = x/535 where x = 6 · 535 / 12 = 267.5
I know that’s impossible, but I can’t understand why the text says that they give a medal to the half of the people if the total of the people is an odd number.
Well, that’s the end of my conclusion.