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Showing posts with the label General Math

Mathematics Workshop at Mahavir Sr. Model school

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Dear All I have attended a one day workshop at Mahavir Senior Model School today. It was organised by www.ganitgurooz.com . The main theme was to share few interesting ideas to celebrate 2012 as a Mathematics Year. Visit here to know more about 2102 MY  .  Well, I was surprised to see my blog on the presentation by Dr. Atul Nishal , Founder and Chairperson of Ganitgurooz.com . He shared my blog address with all the teacher who were present there (about 100) from different schools. He also invited me to share my experience about blogging. It was really a great learning experience.     I recommend all the mathematics teachers and students to visit www.g anitgurooz.com and enjoy the great math stuff available there. Regards, Amit Bajaj  

Top 10 Reasons Why I love Maths

Dear All, You must watch this video... Hope you like it! Amit Bajaj

MATH QUOTES WRITTEN BY ME

1.     For me teaching, learning and sharing mathematics is equivalent to worship a god. 2.       Learn and discover the beauty of mathematics. Or else do some other work. There are many other mad’s who are doing it. 3.      Who says that mathematicians are half mad? They only approximate to it. 4.      Do you want to keep someone very busy? Ask him to locate a point nearest to zero. 5.      Which amongst the following is better- math, maths or mathematics?

Sudoku on web

Hello All I just found an excellent Sudoku website. You all must explore and enjoy this! http://www.websudoku.com/ Amit Bajaj

Do you know today is a special day, Mathematically...

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Dear All Do you know what’s special about today,   22 July?  Well, today is Pi Approximation Day. Pi Approximation Day celebrates the mathematical constant Ï€ (pi). It is observed on July 22, due to Ï€ being roughly equal to 22/7. The fractional approximation of Ï€ , 22 ⁄ 7 , resembles the date July 22 in the   day/month   format, where it is written 22/7. Pi Approximation Day is therefore celebrated on July 22. In geometry, pi is defined as the ratio of a circle's circumference to its diameter. July 22, often written as 22/7, is an appropriate day to explore pi, since 22 divided by 7 is an approximation of pi. Pi Approximation Day is celebrated in a number of ways, including contests to memorize pi to the most decimal places, solving math problems involving pi, discovering the history of pi, ruminating on how life would be different without pi and—of course—eating pie. So, enjoy this mathematical day ... Amit Sir 

Models of Platonic & Archimedean Solids

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Dear All Finally, I am done… I had been working for the last three weeks over my birthday gift for myself! I have finally completed making the three-dimensional models of Platonic and Archimedean Solids. Yet again! Surely, those forty-fifty hours while I was making them paid off well.  Although I had made these solids five years ago as well but the methodology and the type of paper used then was not the best way they could be. And I figured that out soon when I saw those models perishing. But of course, my past experience helped me a lot this time. I got the nets of these solids printed out on 12”X18” photo paper and then used ‘half-cut’ method on paper to get the proper nets and hence the solids. Click here to see the step wise procedure I followed. Click  here  to download all the models I have made: To know more about these solids click here and here . To check the various good resources, web links click here . To view these solids, downlo...

What is the best way to study mathematics

Dear All Once open a time a lady wanted to hire a cook for her restaurant. She interviewed many candidates and finally she selected the one who impressed her in the interview. Lady was very impressed with his knowledge of cooking. He was like a cooking encyclopedia. On his first day of the job, lady thought of taking his trial. She asked him to cook “Kadai Chicken“. She started eagerly waiting for the food. Food was served and she had her first bite. It was pathetic in taste. She could not swallow even a single bite of it. The lady was shocked and asked the man “It is so horrible in taste. Are you sure you can cook food?” He replied, “Madam, sorry for the food. Actually I have never done cooking before. I just had taken lessons on cooking from experts and during my training classes, I saw the instructor cooking. Also, I have read and learned all the recipes of making excellent food.” Moral of the story is, there is a difference in knowing how to do things and actually being able to do ...

MATH FUN

Dear All Let me take only a minute Just do the following multiplication : 13837 x Your Age x 73 = ? ? ? You get very interesting resut, let me know. You get the same result if you multiply 10001 * your age * 101 How is that?

INTERSTING NUMBER 37

NUMBER 37 IS AN INTERESTING NUMBER: SEE THE PATTERN: 111/(1+1+1)=37 222/(2+2+2)=37 333/(3+3+3)=37 444/(4+4+4)=37 555/5+5+5=37 666/(6+6+6)=37 777/(7+7+7)=37 888/(8+8+8)=37 999/(9+9+9)=37 hope you like it... do you have other number patterns to share... do write in comment section.

Nature by Numbers

One minute Question Paper in Ireland

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Hello Just got this in one email by my friend. very interesting. Try solving the paper before looking at the solution. (cheating is not allowed!) Scroll Down for Answer: *** *** *** *** *** *** *** ***

PLATONIC SOLIDS AND THEIR NETS

Definition REGULAR POLYHEDRA: A 3-dimensional object bounded by regular polygons. Can you guess how many regular polyhedra exist? SURPRISINGLY…. There are only FIVE regular solids composed of just 3 regular polygons: the triangle, square and pentagon. The five regular polyhedrons are Tetrahedron, Cube, Octahedron, Icosahedron and Dodecahedron. Also, if you combine 2 regular polygons triangle with square, pentagon with triangle and so on, you can make other polyhedra. There are 13 such more solids known as “Archimedian Solids”. Click here to download the nets of Platonic Solids. Note: Right click the above link and select the option "Save link as " Visit the following sites to know more : Site 1 Site 2 Site 3 Site 4 Site 5

Solve it - Question 8

Dear All One of my student (now not studying in CRPF School)shared this math problem with me. Let us all try together to solve it. check website www.shubhamsuman.co.nr (Must Visit) The question is as follows: Let two cyclists A and B start from a point 100kms apart from each other with the speed of 10kms towards each other. As they start a bee takes off from the nose of a cyclist a and heads towards B's nose.It turns back and heads towards A's nose.It continues this back and forth movement till it gets squashed between cyclist.in doing this how much total distance does the bee covers? Given speed of bee is 20 km/hr. Well, he also shared this piece of information. Hope all the readers will like it... HANGING NECKLACE Borrow a necklace from a shop and hold it up in the air by its two ends at the same level so that it hangs downwards.The necklace assumes the shape of a curve.This curve is named as catenoid. the problem posed by jacob bernoulli was to find the equation for the cu...

MOBIUS STRIP

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Dear All If we take a rectangular strip of paper, then make a half twist and join the ends we come up with a Mobius strip. If we were to draw a line through the center of the strip without lifting the pencil off the paper, we would come back to the starting point but on the "opposite" side of the paper. Logically, this is only possible if the surface has only one side and only one boundary, meaning that while the Mobius strip appears to have two sides, it actually has one. FEW EXPERIMENTS WITH MOBIUS STRIP: Experiment 1 : Draw a line through the center of the strip. We would have to go round the loop twice to get back to the starting point. This is a key feature of the Mobius strip because it's what describes it as a non orientable surface. Experiment 2 : Cut through the center line. In general, if we cut a rectangular strip of paper lengthwise through the middle from end to end, we would expect to get two strips. This is not the case with the Mobius strip. Instead of get...

A view of Mathsland

DEAR ALL To most people, mathematics is that subject they have always had difficulty understanding. It is a form of communication, a kind of strange language in which complete sentences must have something called an equals sign or some other equally strange symbol. It appears to be a form of the English language but interlaced with rows of austere symbols and incomprehensible formulae (some Martian language!). For different reasons, the majority of the world's `educated' population, by the time they graduate from high school, have already made up their minds that mathematics is difficult and that nothing new ever happens in mathematics. My suspicion is that this uninformed majority spreading these unfounded rumors have no personal experience with mathematics. They probably heard this story from a friend who in turn had heard rumors from elder brothers and sisters that mathematics is a difficult subject. Believing this lie and obviously lacking self-confidence and motiva...

Why is there no Nobel Prize in Mathematics?

Dear All Six Nobel Prizes are awarded each year, one in each of the following categories: literature, physics, chemistry, peace, economics and medicine. Notably absent from this list is an award for Mathematics. The reason for this conspicuous omission has been subject of extensive speculations, some of which are discussed below. One of the most common reasons as to why Nobel decided against a Nobel prize in math is that [a woman he proposed to/his wife/his mistress] [rejected him beacuse of/cheated him with] a famous mathematician. Gosta Mittag-Leffler is often claimed to be the guilty party. There is no historical evidence to support the story. For one, Mr. Nobel was never married. Click here to read the complete article.

Train alert!

A group of people were asked the following question. ``Say there are 2 people tied to a railway track, and a train is fast approaching. You have time to save just one of them. Which one would you save?'' The politician replied ``After arranging for a television crew to be present, and preferably making sure there was a press conference afterwards, I would rescue the one with the louder screams.'' The accountant replied ``I would rescue the one who offered to pay me most.'' The journalist replied ``I would ask the train driver to delay the collision till I could get a camera.'' The lawyer replied ``I would jump into the train and offer my services to the driver, who will almost certainly be sued by relatives of the two. '' The physicist replied ``I would derail the train, as your question did not place any limitations on the safety of those in the train.'' The statistician replied ``I would toss a coin to pick one of them. The...

Measuring the height of trees

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Dear All Some Native Americans had a very interesting way of doing this. To see how high a tree was, they would find a spot where, looking under their legs (as shown), they could just see the top of the tree. The distance from such a spot to the base of the tree was approximately the height of the tree. Why does this work? The reason is quite simple. For a normal, healthy adult, the angle formed by looking under one's legs is approximately 45 o . Hence, the distance to the tree must be around the same as the height of the tree.

Fermat's Last Theorem

Dear All In the margin of his copy of a book by Diophantus, Pierre de Fermat wrote that it is possible to have a square be the sum of two squares, but that a cube can not be the sum of two cubes, nor a fourth power be a sum of two fourth powers, and so on. Further, he wrote that he had found a truly marvelous proof which the margin was too small to contain. Fermat's Last Theorem states that x n + y n = z n has no non-zero integer solutions for x, y and z when n > 2 . That is to say, there are no integers x, y, z such that x 3 + y 3 = z 3 or integers x, y, z such that x 7 + y 7 = z 7 . Although this is easily stated, it has proved to be one of the most puzzling problems in the whole history of mathematics. Long after all the other statements made by Fermat had been either proved or disproved, this remained; hence it is called Fermat's Last Theorem (actually, Conjecture would be more accurate than Theorem). This conjecture was worked on by many famous...

Number of Tangents

Dear All Today a student asked me a question: How many tangents can we draw at a point on a sphere? We are well aware that to a point on a circle, the answer is ONE. You may imagine a football (sphere) lying on the floor (tangent plane). What are your views? Do share.