August 15, 2024

Important Days in Mathematics

 1. Euler Day

Every year on 7th Feb (2/7) is celebrated as Euler day because  Leonhard Euler had calculated the value of e (a constant) to be 2.7182818. The first two number 2/7 is 7th  February.

2. International Day of Mathematics

UNESCO’s 40th General Conference proclaimed 14 March of every year International Day of Mathematics in November 2019.

3. World Pi Day

March 14 (3/14) is celebrated as Pi Day around the world. U.S. House of Representatives passed legislation to formally recognize Pi Day in 2009 and since then it is celebrated on 14th March which is also the birthday of Einstein. The idea of celebrating Pi day came in the mind of Physicist Larry Shaw in 1988 but it took 21 years to get the final idea adopted by the world.

4. Women in Mathematics Day

12th May is celebrated as Women in Mathematics Day around the world. On 31st July 2018, the Women Committee of Iranian Mathematics Society presented a proposal that Maryam Mirzakhani’s birthday – May 12th be recognised as Women in Mathematics Day which was approved by World Meeting for Women in Mathematics by a vast majority.

5. Tau Day

Like Pi, Tau is a constant and it is double of pi in approximation. Hence on Every 28th June (6/28) Tau is celebrated around the world

6. National Statistics Day

National Statistics Day is celebrated on June 29 every year to acknowledge and appreciate the exceptional contributions made by statisticians in India, particularly honoring the birth anniversary of eminent statistician (Late) Prof. Prasanta Chandra Mahalanobis. 

7. Pi Approximation Day

On 22nd July, we celebrate Pi Approximation Day (22/7)

8. Math Storytelling Day

Math Storytelling Day is celebrated on 25th September every year. It was created by Maria Droujkova and Sue VanHattum in 2009. This day is celebrated to encourage people to tell stories about Mathematicians, their struggle and contribution and to appreciate the discovery in the mathematics.

9. Fibonacci Day

On 23rd November (11/23) is celebrated as Fibonacci day because 11 and 23 both are a part of Fibonacci Sequence .

10. National Mathematics Day

Dr Manmohan Singh in 2011 announced that every year 22nd December should be celebrated as National Mathematics Day because, the child prodigy Srinivasa Ramanujan was born on this day.

11. Pythagorean Day

This day is not celebrated every year but any year where the date, month and year makes a Pythagorean triplet is termed as Pythagorean day. In 2025, 24/7/25 will be Pythagorean Day as – 242 + 72 = 252

 


August 14, 2024

Independence Day Quiz by MATH OLYMPIAD FOUNDATION







 HAPPY 78TH INDEPENDENCE DAY TO ALL

Mathematics Olympiad Foundation is happy to organize a unique Independence Day quiz where you can explore about Indian Freedom Movement. 

The 25 questions will test your knowledge about Indian Freedom Movement, the contributions of freedom fighters and their journey from struggle to get a free country from the clutches of Britishers.

Since this quiz is being organized by Mathematics Olympiad Foundation, so there will be 5 Mathematics Question to test your mathematical skill also. The mathematics questions are on Mathematicians, Mathematical Society, and 6-8 graded questions.

Total Number of Questions : - 30

Marks : 150

Passing Marks : - 50%

Certificate will be given to all participants who score 50% marks and above. You can download the certificate from your mail. 

CLICK HERE TO PLAY THE QUIZ


August 13, 2024

Mathematical Lab Kit for D. El. Ed Students

 

Dear Students,
Here is the list of some of the math lab kits, that you can see in Primary and Upper Primary Math Lab. 
Counters for Counting/ Integers Addition + Subtraction teaching purposes

2. Number Mats


2 D shapes 

4. Place Value Abacus 

5. Decimal Abacus 

6. Base 10 Blocks 

3 D Solid 

Isometric Geo Board
Circular Geo Board



Exterior Angle Theorem Proving 
Angle Sum Property of a Triangle 

Folding Solid Shape
Mensuration Cube

Number Balancing Scale 

Cuisenaire Rods


Roman Number Kit

Tessellation Kit


Fraction Bar 

Fraction Wheel 


Circle Kit
Dummy Clock

Dummy Note

Dice

Mensuration Kit
Square of (a + b + c)
Square of (a + b)


Cube of (a + b)


Clinometer 


Multiplication Table 
3 D Nets



Please make a group of 10 - 12 students and design 2 Mathematical Kit. This is a course assignment, and you will be marked on it.
                                                                  Pentominoes


Dr Rajesh Kr Thakur













August 9, 2024

Think and Reflect

 


Look at the Picture and answer the following?

1. How can you make such pattern in Mathematics Lab?

2. What do you notice?

3. How would you describe, what you see here?


Problem 2 :- 

Here, 3 squares are seen overlapping each other.
What is the greatest number of squares you can make by overlapping three squares of the same size?

Happy Learning 



July 21, 2024

PI APPROXIMATION DAY (22/07) QUIZ

 Dear All

On the occasion of Pi Approximation Day being celebrated on 22nd July (22/7) every year, Here is one very interesting quiz dedicated to Pi. There are 40 questions related to Pi. Let's know the mysterious number pi. Don't forget to share with your known/students/teachers/

Just give a TRY

 The story of pi is more than 4000 years old but the race to find its value is still continued.

Interesting Facts:-

1.  
                                             (Courtesy:- From the Tweet of @Cliff Pickover)

2. 22nd July is the birthday of -- GAUSTAV HERTZ      ---- WILHELM BESSEL  and great Indian mathematician - SHREERAM SHANKAR ABHYANKAR 

3. 22nd July 2024 is the 204th day of the year.  204 is the sum of consecutive primes in two different ways: ---
a) sum of a twin prime (101 + 103) 
b) sum of six consecutive primes (23 + 29 + 31 + 37 + 41 + 43).

204 is the sum of squares of first eight consecutive natural numbers
204 = 1²+2²+3²+4²+5²+6²+7²+8².

                                                      A brief Introduction of Pi

Value of Pi = 22/7 is probably taken because Archimedes (born in 287 BC) calculated the ratio of circumference to diameter coming out to be lying between 223/71 and 22/7.

Aryabhata (born in 476AD) was the first Indian mathematician who calculated the value of pi correct up to 4 decimal places. His value of pi was 3.1416. 

The Mahabharta decodes the value of pi as 3.

योजनानां सहस्राणि विष्कम्भो द्वादशास्य वै ॥ 6-12-40
परिणाहेन षट्त्रिंशद्विपुलत्वेन चानघ ।
षष्टिमाहुः शतान्यस्य बुधाः पौराणिकास्तथा ॥ 6-12-41
चन्द्रमास्तु सहस्राणि राजन्नेकादश स्मृतः ।
विष्कम्भेण कुरुश्रेष्ठ त्रयस्त्रिंशत्तु मण्डलम् ॥ 6-12-42
एकोनषष्टिविष्कम्भं शीतरश्मेर्महात्मनः ॥ 6-12-43
सूर्यस्त्वष्टौ सहस्राणि द्वे चान्ये कुरुनन्दन।
विष्कम्भेण ततो राजन्मण्डलं त्रिंशता समम् ॥ 6-12-44
अष्टपञ्चाशतं राजन्विपुलत्वेन चानघ।
श्रूयते परमोदारः पतगोऽसौ विभावसुः ॥ 6-12-45
एतत्प्रमाणमर्कस्य निर्दिष्टमिह भारत ।

The Moon is handed down by memory to be eleven thousand yojanas in diameter. Its peripheral circle happens to be thirty three thousand yojanas when calculated.

The Sun is eight thousand yojanas and another two thousand yojanas in diameter. From that its peripheral circle comes to be equal to thirty thousand yojanas.


The Bible says -

Also he made a molten sea of ten cubits from brim to brim round in compass and five cubits the height thereof; and a line of thirty cubits and compass it round about.  --- Old Testament

William L Schoff says -

Probably no symbol in mathematics has evolved much mystery, romanticism, misconception and human interest as the number of pi.

      

          Buffon

Buffon calculated the value of pi using needle. Ancient Hebrews who built Solomon's temple used pi = 3 while Shatapatha Brahmin calculated the value of pi equals to 3.085.

In 1901, Italian mathematician Mario Lazzarini Performed the Buffon Needle experiment tossing a needle 3408 times, he obtained the approximation of pi which was a very accurate value. 

Archimedes in 3rd century inscribed and circumscribed regular polygons up to 96 sides and showed the upper limit is 22/7 and lower limit is 223/71.

           Pi  Day = March 14 (3/14)


Aryabhata calculated the value of pi correct  up to 4 decimal places and can be termed as the first mathematician to do so.
Add 4 to 100, multiply it by 8 and then add 62000. The result is approximately the circumference of a circle of diameter 20000.

Madhava, the founder of Kerala School of Mathematics also calculated the value of pi before James Gregory using the infinite series.

व्यासे वारिधिनिहते रूपहृते व्याससागराभिहते।

त्रिशरादिविषमसंख्यामत्तमृणं स्वं पृथक् क्रमात् कुर्यात्

यत्संख्ययात्र हरणे कृते निवृत्ता हृतिस्तु जामितया।

                         तस्या उर्धगताया समसंख्या तद्दालं गुणोऽन्ते स्यात् \\

Ramanujan made several attempt and calculated the value of pi through numerous formula.
You can also calculate the value of pi using his formula.

Yale Bablonian Tablet known as YBC 7302 also approximates pi as 3.125 . . .

Interesting Facts About Pi:- 

At position 763 which is also known as Feynman Point, there are six nines in a row. 

Johann Lambert proved Pi is irrational in 1768.

I hope you have read the information shared here. It is the time to play quiz to explore your knowledge about pi. 

CLICK HERE FOR QUIZ

A certificate is attached with the quiz provided you score 75% marks so try your luck and win certificate.

Rajesh K Thakur



google.com, pub-5194588720185623, DIRECT, f08c47fec0942fa0 google.com, pub-5194588720185623, DIRECT, f08c47fec0942fa0

July 2, 2024

CLASSROOM TEST FOR D.EL.ED 2ND YEAR

 Dear Students

This is a test to understand how you prepare yourself after your class and how much time do you devote on your study at home.

This test is based on Unit -1 and Unit - 2. Moreover, 5 questions are based on Mathematical pedagogy.

Number of questions for each section will be different. There are 20 questions of 2 marks each. Every correct answer will give you +2 and every wrong answer will deduct your -1 mark.

Time allowed = 30 minutes

There are 3 numerical questions that may require pen and paper while the other questions are based on your mathematical understanding of the concept taught in the class -room.


CLICK HERE TO OPEN THE TEST



May 22, 2024

Question Making is an Art -- Dr Rajesh Thakur

 






















Thank You


Dr Rajesh Kumar Thakur