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Thanks ...

examination of "Elementary Mathematics from a higher point of view" is approaching ..

And at the end of this path which, besides giving me the opportunity to learn new things, introduced me to and use programs such as QQ.calcoliamo.03, Iperlogo, CmapTools, but also improve the ' Internet use (the primary means of research, etc. ..), I feel compelled to thank the prof.Giovanni Lariccia that there has always been close, proving always available to address the different concerns and issues that arose .

Thanks to him I learned about a new math so far unknown to me ... taught me aguerdarla under another point of view and I sincerely hope that one day I will also be able to pass it with love to my students!

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the word to a girl who likes math

One day I asked myself: "Why does not someone write something on my blog? ... In the end there ' is nothing wrong with that? "

Being a blog that has the purpose and topics to talk about very specific (math ...), right ... to keep in context, I decided to ask my dear friend, asking politely if I could write something: his views on mathematics, as is the daily bread for his university studies ...

So it was! Now the floor is yours ...

"Hello, my name is Chiara, I'm 20 years old and my second year of Civil Engineering at the Politecnico di Bari

Mathematics has always been my favorite subject perhaps because I had professors who were able to make me love!

I have always liked this area and how often I've gotten pretty good!

Maybe I thought she was mad, but I had fun and I enjoy it even now do the exercises.

then is the basis of my studies and I think it has been a push to choose engineering as an option ..

It 's a matter that is the basis of everything, and I think it's worth it to study and know. "

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Alonso's team! The problem

Here's the full team of Alonzo!

He could certainly miss our friend toponzo with his bike.

It 's finally ready for our QQ.storia!
Now on blackboard, as well as our other work for the examination, was finally published the story of Alonzo toponzo.

His team is very happy about that, because the arduous undertaking was successful!

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made iperlogo

On November 26, in the classroom of computers, the prof.ci taught to use the program iperlogo. It 's a program is not as easy to use, because you need to know to run several commands to the various problems that can be created for children of different classes of primary school.

So, me and my friend Cristina we came across this adventure: our goal was to create and be able to work a math problem for children in second to third grade.

The text of the problem was as follows:

" Luke has collected 10 flowers for her mom, Andrea has collected 6 flowers. Luke and Andrea meet. Luke gives flowers to Andrea 2. How many flowers will be all over Luke? ".

The real problem was certainly not solve the puzzle, but we found a number of difficulties in making the turtle draw of 10 flowers flowers and more precisely aligned.

After several attempts and after consulting the site http://www.mlab.it/ , we managed to draw the crowns of flowers.

The problem was not done here: we realized that there was a big mistake in the procedure because the flowers were not aligned.

Unfortunately the lesson was over and we had to go home.

So my friend, intestarditasi because he wanted to solve the problem at all costs, in the end we succeeded in doing!

The problem if you type the correct answer, the turtle draws exactly 8 flowers, otherwise remain displayed 10 flowers.

E 'was great to be able to make King such an experience!

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The soroban

The term seems to derive from the abacus ABQ Semitic word meaning "dust": This fact leads us to think that in other regions other than China that instrument is born of a basin containing dust or sand used as a "tablet for the calculation."
However we do not have specific dates in order to identify where and how the abacus is born. We can only say that the Arabs had ten abacus beads strung on each wire and no center pole, while the Chinese abacus was strung on each wire five balls separated by two upper and lower rod. Each of the balls on a wire above the abacus in China is equivalent to five balls on the lower edge. To find a number you slide balls placing them all'asticciola appropriate separation.
In Japanese elementary schools soroban is called and is still used today. E 'consisting of 25 vertical rows of five balls divided into four, plus one from a horizontal pole. Each ball under the bar corresponds to a unit, and each ball on a pole to a quintet. By moving the balls with carry-type semidecimale you can perform all arithmetic operations, calculating up to several millions, but also many operations of algebra, with speeds as fast as permitted by the pocket calculator, so that is used by many retailers, postal employees and banks (especially the change of currency).

calculations with the abacus
To see how they could be carried out calculations using the abacus, I tried to perform the four arithmetic operations with the process learned in school, but using the abacus instead of a pen and paper: the attempt is successful, although it requires a some skill in mental arithmetic, and this leads me to believe that the procedures used were not very different from ours.
L 'addition, of course, no problem: when the chips in a box, the value reached 10, simply replace them with a coin in the box Vivina left, and continue. For subtraction we follow a reverse procedure, taking a chip from the box to the left when the figure of the coin box sottraendoun left when the figure is higher than that of subtracting the minuend. The proliferation is already more complicated if the multiplier has more digits, you should do on the box of the relevant power of 10, like we do when we move one place to the left of each successive partial product. The operation
more complex the division, can not be put "in the column" intermediate results, but in this case was applicable to our calculation procedure, first testing a quotient with the first digit of the divisor, seeing if the next digit of the divisor "is" the next dividend, and so on, until the rest.


"The abacus proxy multi-sensory experience, in fact, the abaca balls move sees, hears the tinkle when bumping against each other, and perceive them as a whole. Surely there is another digital computer that has un'attendibilità so high in proportion to the low cost of purchase and maintenance. " Martin Gardner

NB The image you see above is the Soroban I along with my fellow group of mathematics, "TEAM ALONSO" , we have built to the point T07 examination.

(On this point I decided to add on my blog, as well as the image, some curiosity about this tool in Japan.)

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A U.S. study puts students before and monkeys The monkeys

According to a study in America it seems that numeracy is not a purely human prerogative, so that the monkeys do not do too bad with math.
Two neuroscientists at Duke University, Elizabeth Brannon and Jessica Cantlon, have published the results of their research on "PLoS Biology.

The study showed that these animals were able to perform tasks in mind, specifically additions, similar to the experiment umani.Durante students and monkeys were engaged in tests of arithmetic to the computer: it was necessary to add the values \u200b\u200bof two series of dots and then choose between two options, one of which carried the arithmetic sum of the two sets of addizionare.Gli results showed a 94% correct answers by students compared with 64% of the Apes: a fairly small difference, which also shows how both have fallen in the same traps.

Jessica Cantlon said: "We knew that animals can recognize quantities, but there was no evidence of their ability to perform mathematical operations like addition. Our study shows that monkeys can do it instead. "

The scientists concluded by asserting that the discovery of a common cognitive system for nonverbal arithmetic shows a kind of evolutionary relationship between their cognitive abilities.

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math and math

Monkeys have a semantic perception of numbers similar to that of humans and language-independent. It was discovered some cognitive neuroscientists at Duke University, expressed that the neural mechanism underlying numerical perception is evolutionarily innate.

Jessica Cantlon and Elizabeth Brannon described their study with macaque monkeys in an article published online in the journal Proceedings of the National Academy of Sciences. In their experiment, the researchers sought to determine whether monkeys exhibit a phenomenon called "semantic congruity" when making numerical comparisons. "When adult humans have to make a comparison, for example between the size of two animals," said Brannon, "wondering which one is bigger or smaller which are two different things. A man, in fact, is the first to say that the ant is small rather than saying that the rat is larger. However, if the two animals are both large, like a cow and an elephant, the man is quicker to say that the elephant is bigger instead of saying that the cow is smaller. This "semantic congruity 'holds for any type of comparison, even between numbers or between distances. It would seem entirely a linguistic effect, that is language dependent. We tried to figure out if this was also in monkeys, which do not have the word ".

Cantlon and Brannon showed the number of two macaques points placed randomly on a computer screen. The monkeys were trained to choose the number of points higher than when the bottom of the screen was blue, and the smaller number when the bottom was red.

As a reward, the animals received a sweet drink for each correct answer.

"The results," says Cantlon, "reveal a significant effect of semantic congruity.

For example, when the pairs of numbers were small, like 2 and 3, the monkeys were much faster if they had to choose the least amount. We were impressed by the high level of precision achieved animals to make this difficult discrimination. "

The discovery is further proof of the fundamental similarity in numerical thinking of men and non-human primates.

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Thoughts Nash

Nash considers the study what others are doing a waste of time, divert the mind from a higher tasks, everything you need is an open problem and an assurance by the academic community, which is relevant.

Basically Nash is a mathematician who worked in that border area between mathematics and economics from which developed and formalized the modern abstract approach.

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... learn to count in base 3 ...

Monday, November 26, 2007, thanks to the explanation and the help of prof. I learned to count in base 3.

Initially, I could not understand the various procedures, from an early age as we were accustomed to count in base 10 and then to consider the numbers 0 to 9.

However, using the ball of salt dough or simply by Dido, everything came to me easier.

To count in base 3, one must consider the numbers from 1 to 3.

The result will be what is shown in the figure above, where a group of three subgroups corresponds to hundreds, ten and two units.

I had fun to portray on paper the numbers 1 to 21 with their corresponding base 3, alternating a row of balls (white ones) without using the paste made with salt and subsequent balls (those orange) Dido.

• For example: a ball in base 3 corresponds to our 1;
• 2 balls under 3 correspond to our 2;
• 3 balls 3 are based, instead, to our 10;
• 4 balls correspond to 11 in base 3, because a group of 3 is the same as our 10 plus another ball (equivalent to one) you get 11;
• 100 in the base 3 will be represented with 9 balls (3gruppi of 3)

E 'was a great experience that gave me this the ability to understand the mechanisms rely on any other basis that is different from ours in base 10.

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And now we give the floor to the Nobel laureate John Nash



John Nash speaks to an interview and says
Russell Crowe? Looks like when I played my
disease



Nash: "My mind was saved by computer"
The celebrated scholar from the movie "A Beautiful Mind '
" The calculation was medicine to overcome the hallucinations "I
his delusions most frequently related to the visions of encrypted messages, even from extraterrestrials, believing to be the 'Emperor of Antarctica or the left foot of God, the head of a universal government. John F. Nash Jr., 80 years in 2008, is also considered among the most brilliant mathematicians of the original 900. The man who revolutionized the economy with his studies in applied mathematics to the Theory of Games, winning the Nobel Prize for Economics in 1994. To him, the American director Ron Howard has spent "A Beautiful Mind" starring Russell Crowe, winner of four Oscars in 2002. The film traces his personal odyssey through the tunnel of schizophrenia from which Nash is miraculously healed after 30 years of therapies such as electroshock, straitjackets and insulin injections, who have scored in the physical but not in the mind. Given that today continues to teach at Princeton, one of the most prestigious universities of America.

• What has helped to heal? "The mathematics, computing and computers were the medicine that brought me back to a more rational and logical, helping to reject the delusional thinking and orientation. Mathematics is curative and in America is used in occupational therapy instead of drugs. With excellent results. "
  
• Genius and mental illness are related? "The mental disorders are prevalent, especially among poets. Which tend to be depressed. "
• What do you think of the film on his life directed by Ron Howard? "When I saw the film at the beginning m'irrigidii chair. But as the minutes passed I've enjoyed the entertainment component. Too bad the Academy did not have any pecuniary reflection on us because we had already been compensated. "
• think that Russell Crowe has effectively dropped in his character? "I have not been close to me, except in the section on mental illness. But even there the film takes several poetic license, inventing incidents never occurred, as the visions or imaginary roommate. However, in the complex is able to convey my thoughts and distorted my mental illness. "
• What will you say at the Mathematics Festival of Rome? "I will be interviewed by Prof. Odifreddi and then I do not know what to talk about. There will be many interesting people who want to meet. "
• It is true that mathematics is related to the arts such as music, painting and poetry? "Mathematics is a Greek word that at first included the concepts of music and astronomy. Only contemporary nell'accezione has become a subject itself. But in my opinion continues to be intrinsically linked to many other disciplines'
• Which of these disciplines are feeling more and less attracted to? "The economics and business interest me very little while I love the music, although I have a selective approach. I find rock and pop do not like ugly and contemporary composers such as Luciano Berio, who prefer Vivaldi, Frescobaldi and Donizetti.
  
• Mathematics has a twin sister of the arts? 'architecture, which is applied mathematics. But the painting. I think of Vermeer, Leonardo, Michelangelo who have used proportions, perspective and three-dimensional geometry as if they were pure. "
  
• What is for you math? "It's never been digital storage. I can not memorize phone numbers and some even do not try to do it. I know people are able to store an almost infinite sequence of numbers, however, are not at all mathematically inclined. "
• how to teach a child to love math? "In an empirical way. It is not easy because you have to "show" and "apply" your theories; not just state them. I think I succeeded with my son who has taken my own career. My love for mathematics was born in the public school, where we soon began working with numbers. But it was the discovery of geometry, in elementary school, to open my mind. I dreamed of becoming an engineer like my father, then my path has gone in another direction. "
• What do you think of the thesis, the place cost the former president of Harvard, that mathematics is the inferiority of women in the genes? "It was a mistake both momentous and trivial, because everyone knows what can and can not be said today in America of political correctness. The irony is that he's just been replaced by a woman "
• The moral of the story? "What you do not know who the next genius mathematician in history. Do you think the Indian Aiyangar Srinivasa Ramanujan, a former child prodigy is completely self-taught to the 800 became one of the greatest mathematical geniuses from a little book. Or the great Hypatia of Alexandria, who lived in Egypt between the fourth and fifth centuries AD. I think women are biologically more suited to mathematics. "
• In what sense? "The study and application of mathematics do not require any physical strength. A man and a woman can not compete on the tennis court but may do so on a study of numbers, where the only force required is mental. "

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The interview with the genius next door.

I finally managed to find my genius to be interviewed!
Even though I had selected and contacted several people, none of these has been available for various reasons, to answer my questions. Returning home for the Christmas holidays, now demoralized because I did not know who to interview, I came as a genius, I immediately thought you could get from my father's cousin, Antonio Rocco Corvaglia, an engineer for 56 years, to address my questions, so it was
away ... And now the questions ...
1 - What was your course of studies to date: to go back rifarebbe the same choice ?
First I introduce myself, my name is Antonio Rocco Corvaglia, was born May 3, 1951, and I am 56 years old and live in Spongano, a village in the province of Lecce, where he carries my profession, that of an engineer.
After receiving a classical education in Maglie (LE), I moved to Turin, joined the Faculty of Electrical Engineering at the Polytechnic. Upon graduation from university the age of 27, I returned to my native country, Spongano, where I opened my studio engineer and army for more than 26 years with much passion this profession, like the first day.
willingly went back I would do this choice because I was very happy about the training he gave me both the High School, from the humanistic point of view, it is also the 'universities, the scientific point of view.
2 - I have just said that she undertook classical studies. How is it decided to conduct a scientific profession, as the engineer, rather than in the liberal arts?
Why we are children of farmers wanting to improve a bit, and then 'the culture of the family, or rather the larger group, there was no need to have only a sector-specific training, in my case over formation of a humanistic character, because I wanted to add to complete the scientific one. But that does not take you either to become excellent in one field or another, but I served and I am sure that my children will reach the excellence! Here's why the choice of the High School, and then not continue their studies in medicine and literature, but towards science subjects, in order to increase the basic culture. However, if now I'm here to practice an engineer, I have also the economic possibilities of my family, which helped maintain the study, being able to take both classical and scientific training.
3 - According to most polls conducted among adolescents, it was found that most of them now has a good relationship with mathematics. To her, instead, always loved since childhood? If so, how did your passion for this subject?
I always liked math, but not limited to this subject, we say that life is a succession of problem situations and then between mathematics, philosophy, literature is not difference, changing only the tools to solve specific problems. My passion for this subject arises naturally, curiosity leads to create problems, which can also be stupid, like, if I wanted to go to the streets, but I want to waste time, then I go to find the shortest route long. This is a mathematical problem to be solved with math, here comes the need to know math to solve problems.
4 - She is the engineer as a profession that is always in contact with the numbers. What is your relationship with mathematics in everyday life?
I have a good relationship with mathematics in everyday life, but it must be said that what I apply in my job is only a small mathematics, elementary compared to what I studied at university, because the problems that I find myself "fighting" are more linear, requiring the simplest means for resolution. But in the end has become an automatic, so it is a custom report.
5 - During his school career, has never encountered any difficulties in studying this matter?
I have not found any particular difficulties in studying this matter, I just used a little ' more time to understand some concepts, so that they internalize and develop them, however, no difficulties, I've always coped alone, with more or less expenditure of time .
6 - What advice would you give to anyone who undertakes a course of study similar to his, in the approach with this type of material?
The only advice I can give is to treat this matter as all the others, after all, the lack of love for mathematics is not attributable to the children, but teachers who, in my opinion, are poorly calibrated, as "children of the '60s and '70s, in which mathematics was seen as a "black sheep", but personally it never was!
A person who understands a logical syllogism in philosophy, can not understand a symmetric property in mathematics, it is absurd, so if you go well in literature, one can not be good at math, otherwise it means that the bases are were given incorrectly.
7 - At the end of his course and then with the conduct of his profession , I could tell that idea has gained in mathematics?
The mathematics part of all activities of the person, I do not think that is part of that person, even if it is used unconsciously by everyone, from counting money when you shop or when you're in the car, which is calculated braking time, because you have to slow down or turn . Every day he is in contact with mathematics, do not you realize this, because there is no rationalization of certain actions, but life is all about math already since he was born.

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Even in poetic phrases ...


"Life is like a math book ...
BROWSE ALL PAGE ... THAT IS A PROBLEM! "
Read the sentence a bit high ...
Surfing the internet I found myself on a site and at one point I focused my attention on this phrase.
The latter, I was struck by the way a little math, in which life is compared to a math book ...

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Mathematical Games. MY BIG FAMILY

Mathematical Games: s'appassiona someone and someone is afraid.
P hydronium be a way to make more agreeable approach to mathematics? Or who loves them, would love the same way the challenge posed by the calculation of an expression or solving an equation? And, conversely, as the mathematics involved in analyzing the games, which almost always have at least two components, one random and that's clever strategy, but often - as a life simulation game - involving more complex personal relationships?
The beauty of mathematics is that you can also play ... Perhaps not everyone will agree but there it is!
I report below the games of logic and even mathematics, which, very often, you can meet both tests to access certain university faculties, both in the quiz competitions.
same happened to me when I did the test to enter the faculty to which are now included, to resolve these type of questions of logic.
Have fun!

1. Complete sequence
   Complete the sequence with two other numeri1-1-2-3-5-8-.....-.....
2. The logical
   In what order are listed in the following numbers? 5 - 2 - 9 - 4 - 7-3 - 1
3. Ancient Greece
   Polycrates, King of the Island of Samos, Pythagoras asked how many students had. The master replied, half study mathematics one seventh of practicing meditation and silence, the eighth of studying nature and, furthermore, there are three students donne.Quanti pupils had Pythagoras?
4. The letters S, P and T are as many integers. You know the expression S x (P - P + T) evaluates to an odd number. Which statement is true?
   Let S and T are odd numbers
   both S and T are even numbers
   S is even, T is either equal to odd
   If S is equal to T is odd, and vice versa
   S is odd, T is either equal to that odd.
5. Two sides of a triangle (non-degenerate), each measuring 8 cm. The third side is a whole number of centimeters. How many centimeters can measure up to the perimeter of the triangle?
   
   a) 31 b) 32 c) 24 d) 16 e) 15
6. A school has 640 pupils last year, 350 of them participated in a contest of mathematical games and 480 at a literary competition. Knowing that only 30 did not participate in any competition, how many guys have faced both races?
   
   a) none b) 220 c) 610 d) 130 and) 190
7. Grazing ...
   A hunter met a shepherd who was grazing his sheep and asked: "How many sheep do you have?" The pastor said, "I have more than 500 and less than 600 and if I divide into groups of 5, or 9, or 12, I always get the same remainder, 7. How were the sheep that pastor?
8. The elephant and the mouse
   If an elephant and a mouse together weigh a ton and 100 grams a ton elephant weighs more than the mouse, as it will weigh?
   

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On October 22, 2007, the second lesson of the course "Elementary Mathematics from an higher point of view, "Prof. . Lariccia she recommends the use of CmapTools, a program that can create maps or diagrams of any kind relating to any topic.

Our goal as well as learn to use it, was to try to represent the family tree of each of us.

Initially I found myself in some difficulty, as having a very large family, I did not know how and who to include in my family tree.

So, I tried to put only the principal names, omitting, for reasons of space, much of it.

I really enjoyed to know and learn this program (although I'm a little crazy right arrows to steer towards the rectangles of various names, since I was a longer than another), and I hope that I can reuse it later, maybe with my future students, so they will be able to make the forms to your computer and thus facilitate the study of some matter-

This is the link to go to see my family tree!

http://blackboard.unicatt.it/webapps/portal/frameset.jsp?tab=courses&url=/bin/common/course.pl?course_id=_8324_1

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Even cartoons crazy with math!

... Even Ross, eponymous protagonist cartoon character, has to do with math, or better with math homework!

... So hatred towards this matter was also sent to her, which he continues to cry and ask:

"What is mathematics? What math? I can not

understand and perhaps never will understand, make me crazy I only know this! calculations, calculations, sum, multiply by ten, extract the square root, here is to lose your head ... "

I wonder why this matters, as always, is labeled as the" black sheep "of each of us!

All this is due to the fact that often you can not understand the rules and the various theorems, and therefore, not only to become "un'enigna" is quite difficult to solve the exercises.

The situation will remain the same until there is someone (I'm referring to future teachers, myself included) who can pass on to future generations to love this area, making them understand that mathematics is an essential component of life, and which are wrong to consider a waste of time to learn all those boring arithmetic formulas and geometry.

Qu esto video demonstration (in this case through the character of Ross) about how kids today eat a certain resentment in mathematics ...

's your vision of the video that may seem at first, very funny ...

http://it.youtube.com/watch?v=t55RE9_a-w4

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I'm back ...

Hello to all friends!

E 'for quite a while that I write on my blog! I know that I should do it, and I apologize in advance but are taken from various searches I've done, together the different jobs that I have published that part publish soon .. .

Eventually I came to the conclusion that wherever I go I have to do with math, our whole life is made of numbers, we will feel lost without it and life would not make sense!