1. Types of numbers Discuss the different number types and explain the relationships between the types.· Explore the followingnatural numberswhole numbersintegersrational numbersirrational numbersetc.· Write the information about the origin of various types of numbers.· Explore the information about the history of numbers.Explorehttp://id.mind.net/~zona/mmts/miscellaneousMath/typesOfNumbers/typesOfNumbers.htmlMake a project on it. 2.Matchstick Games Matchsticks games link http://www.puzz.com/matchstickpuzzles.html You can prepare a project on matchstick games . 3.Number Spirals Know about number spiral and explore the beauty of hidden mathematics in it.http://www.numberspiral.com/index.html 4. Number Systems of the world This is an interesting link which contain interesting information about the number systems of the world. Explore this site and make an interesting project.http://www.sf.airnet.ne.jp/ts/language/number.html 5.Fibbonacci Numbers
The Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, ... Each number in the Sequence is obtained by summing the previous two numbers. Observe the sequence and write the next 20 terms. Explore about it in nature... For example, when counting the number of petals of a flower, it is most probable that they will correspond to one of the Fibonacci Numbers. It is seen that:o Lilies have 3 petalso Buttercups commonly have 5 petalso Delphiniums have 8 petalso Ragworts have 13 petalso Asters have 21 petalsFind more information of such kind on the internet. Explore the information about Leonardo Pisano Fibonacci 1170 - 1250 You can take the help from the following link http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html
You can make a project on fibonacci sequence and its presence in nature.The Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, ... (add the last two to get the next) .It is called the Fibonacci series after Leonardo of Pisa or (Filius Bonacci), alias Leonardo Fibonacci, born in 1175, whose great book The Liber Abaci (1202) , on arithmetic, was a standard work for 200 years and is still considered the best book written on arithmetic.The following link will help you to gather useful information.http://britton.disted.camosun.bc.ca/fibslide/jbfibslide.htm
6.Symbols in mathematics
In the previous session, one of the students made a project on mathematical symbols,their origin and utility.You can also try this one .Some of the information is given below. Search for more information .
The factorial symbol n!
The symbol n!, called factorial n, was introduced in 1808 by Christian Kramp of Strassbourg, who chose it so as to circumvent printing difficulties incurred by the previously used symbol thus illustrated on the right. The symbol n! for "factorial n", now universally used in algebra, is due to Christian Kramp (1760-1826) of Strassburg, who used it in 1808.
The symbols for similarity and congruency
Our familiar signs, in geometry, for similar, and for congruent) are due to Leibniz (1646-1715.) Leibniz made important contributions to the notation of mathematics .
The symbol for angle and right angle
In 1923, the National Committee on Mathematical Requirements, sponsored by the Mathematical Association of America, recommended this symbol as standard usage for angle in the United States. Historically, Pierre Herigone, in a French work in 1634, was apparently the first person to use a symbol for angle.
The symbol for pi
(This symbol for pi was used by the early English mathematicians William Oughtred (1574 -1660), Isaac Barrow (1630-1677), and David Gregory (1661-1701) to designate the circumference , or periphery, of a circle. The first to use the symbol for the ratio of the circumference to the diameter was the English writer, William Jones, in a publication in 1706. The symbol was not generally used in this sense, however, until Euler (1707-1783) adopted it in 1737.
The symbol for infinity
John Wallis (1616-1703) was one of the most original English mathematicians of his day. He was educated for the Church at Cambridge and entered Holy Orders, but his genius was employed chiefly in the study of mathematics. The Arithmetica infinitorum, published in 1655, is his greatest work. This symbol for infinity is first found in print in his 1655 publication Arithmetica Infinitorum.
The symbols for ratio and proportion
The symbol : to indicate ratio seems to have originated in England early in the 17th century. It appears in a text entitled Johnson’s Arithmetick ; In two Bookes (London.1633), but to indicate a fraction, three quarters being written 3:4.Have fun exploring mathematics.
Click on the given link to know the detail.
Explore the following:
What is a magic square?
Explore on its historical background.
What is an odd ordered magic square?
Explain methods of making them.
What is a dated magic square?
How to make a dated magic square?
8. Making Koch tetrahedron
Click on the link given below and have fun making Koch tetrahedron http://classes.yale.edu/fractals/Labs/KochTetra/KochTetra.html
The following model of Koch's tetrahedron is made by a student at K.H.M.S. Planet Infinity.