February 16, 2023

Maths Poem for Students and Teachers

 

Maths Poem

I hope you all will love the collection on Mathematical Poem. Here is a puzzle for you to begin with.

2. MATHEMATICS OF LIFE

BIDMAS FORMULA
HOW TO WRITE NUMBERS



WHY DO WE NEED MATHS?

MEASURMENT

POEM ON FIBONACCI NUMBER

WROTE 

A POEM 

ON A PAGE 

BUT THEN EACH LINE GREW

TO THE WORD SUM OF PREVIOUS TWO

UNTIL I BEGAN TO WORRY ABOUT ALL THESE WORDS COMING WITH SUCH FREQUENCY 

BECAUSE AS YOU CAN SEE IT CAN BE EASY TO RUN OUT OF A SPACE WHEN A POEM GETS ALL FIBONACCI SEQUENCY





(SOURCE :-  https://twitter.com/Mrs_Laura_Bass/status/856959729544941574)



Month Name and Days
I




Addition

Add up to 9?

Everything is fine.

10 or more?

Take ten next door, and

Leave the extra on the floor.

Subtraction

More on top?

No need to stop

More on the floor?

Go next door,

Take 10 more

Number is the same?

0 is the game.

Googol







Division

Commutative Law
 

Divisibility Rule
Ratio and Proportion
Measurement
3- D shapes
Number writing Skill
Decimal Place Value Reading

Fraction Calculation
Adding and Subtracting Fraction
that you see
Match the bottom Perfectly.
Multiplying Fractions no big problem
top times top over bottom times bottom
Dividing Fractions is easy as pie
Flip the second one and multiply.

FRACTION



Number Place System

Parallel and Intersecting lines

Parallel lines

Have a lot in common

But they never meet ever

You might think

That’s sad

But every other pair of lines

Meet once and then departs

Forever

That’s sad too

Time


Roman Numeral
Angles




SOLID FIGURE (3 D)



Claim:- All poems are taken from internet and this collection is meant for helping students and teachers. No poem is written by me.

CREDIT :- 
1.http://holyjoe.org/poetry/atherton.htm
2. https://in.pinterest.com/


Dr Rajesh Kr Thakur

















February 15, 2023

MATHEMATICS THROUGH THE LENSE OF HISTORY

This session was conducted by SCERT Delhi for the Directorate of Education's teacher at SCERT Auditorum in between 14 -16 February 2023.










Today is 15th February. 15 reminds us about the first 3 x 3 magic square whose magical constant is 15.
In India the first 4 x 4 magic square can be seen in  Khajurao (MP)




Look at the three questions:- 
The first question is based on BODMAS rule and the correct answer is 9 not 1.
In the second question, a teacher marks wrong for writing 5 + 5 + 5 for a question 5 x 3 = ? though the answer is correct because 5 x 3 = 3 x 5




Bakshali Manuscript (Red) shows the first zero symbol where a big dot seems to be used to indicate zero. The image at the bottom (right side) shows the number 270 written over it. It is known as Rama rock and can be seen in Chaturbhuja temple of Gwalior fort. It is said King Jayvardhana 2 used to pluck flowers to offer the god from his garden that was 270 hastas long and 184 hastas short. 


Think over it:- 
1. While bisecting a line segment we take the arc length more than half from both the sides. Why?
2. Why cutting the arc first time gives the angle 60 degree?
3. Read Einstein Car Puzzle 
4. Allow students to explore the possibilities of angles of triangles more than , less than or equal to 180 degrees.
5. Why 0/0 is not valid?
6. Why (- ) times (-) is plus?















Bhoot Samkhya is an art of writing numbers without the use of digits.

The Kavi Surya wrote a book in Sanskrit whose every line written in the reverse order makes the other two lines. This shows the Palindrome (121, 14641, 123454321- - -) character of a number where the third and fourth lines of every quadruple is obtained by reversing the first two lines. The beautiful part of this poem is that the first two lines is dedicated to Sri Rama whereas its reverse couplet is dedicated to Sri Krishna.









If the syllable of all four parts of the shlokas are placed together we see a beautiful symmetrical pattern.

In Shishu Pal Vadh sloka if every syllable are placed separately in a box and its mirror image is also placed together we get a 8 x 8 square matrix whose boarder is the first line of the shloka in all the directions.


 Magh wrote a book Shishu Pal Vadh that depicts the  mathematical beauty in it. If you place the first three lines in diagonal order then you find word (र) at the centre of the bottom layer. the fourth line starts with green in the first layer and alphabets are place in circle. The third inner most layer has the word (Shishupal Vadh शिशु पाल वध ) written in it



For any queries you can write to me 

Email:- rkthakur1974@gmail,com

Twitter:- @R_K_THAKUR

February 3, 2023

Concept of Algebra - K Bhanumoorthy

                                                            TO INTRODUCE ALGEBRA

 A quote by Stefan Banach .

“Mathematics is the most beautiful and most powerful creation of the human spirit.” 

Mathematics is a way of thinking, a way of reasoning. It is a creation of Human mind and gives us an insight into the power of Human mind. It is a language with concise symbolic representations. Mathematics can also be called as a study of pattern. It is also an Art. There is an order and harmony which produces the beauty. 



AIMS: 

  1. To express verbal statements in terms of appropriate symbols.

  2. To express abstract ideas.

  3. To inculcate the habit of analysis.

  4. To link to other science subjects and to generalize scientific truth.

  5. To appreciate and attach meaning to verbal statements.

MAIN USES/FUNCTIONS/RELEVANCE OF LEARNING ALGEBRA:


     i. It is very easy to decide what is to be done as there are symbols. It inculcates and helps us towards correct analysis.

              ii. It helps us in generalizing facts.

    iii. It helps us in calculations and to find solutions.

    iv. It gives great scope for creative thinking.'



Before algebra is taught, one has to be in conversant in operations in arithmetic; should have a grip over the language (comprehensive ability) and also exposure to many life situations where arithmetic is involved. Letters can be introduced by asking the following questions:

  1. I am aged 30 years. You are ‘X' years younger than me. What is your age?

  2. I have Rs. X with me. You have Rs.5 more. How much do you have?

  3. What is X% of Rs.500?

  4. The length of a rectangle is 15 mts. Find the area and perimeter of the rectangle if breadth is Y mts.



The above-mentioned questions train the students (pupils) to use the literal letters, to represent, to recognise the importance of arithmetical procedures, to drill the four fundamental operations already learnt.

Note: Before introducing letters, one can use numerals and then proceed. Eg : am 65  yrs, my son is 40 yrs younger, what is his age?

 Man is born with lots of curiosity.

As I had mentioned in the early paragraph, algebra is a language of patterns. By seeing the patterns one can learn algebra. I am not using the word ‘Variable’, instead I am using whether there is any change or no change. The explicit fashion is brought out (written). The questions are asked by giving the following pattern. What do the students observe?

33+33, 11+9, 13+15…... or an operation that is formed in the following manner:


A

B

C

7 + 6

5 + 5

10 + 5

7 + 4

3 + 3

6 + 7

7 + 1

6 + 6

9 + 2

7 + a

b + b

c + d


In column A, there are two columns 1st column is the same number 7 and the second column the number is not the same, hence it can be generalized as 7+ a where a can be assigned any value (number).

In column B, there are two columns 1st column and the second column have the same number, this can be generalized as b + b.

In column C, here again there are two columns, both the numbers are different, can be generalized as c+ d.

That is to say we have used literal letters to formulate the given data of numbers. 

NOTE: Instead of addition, you can even take subtraction.

We can take even two-digit numbers and find the pattern:

27 = 10*2+7

46 = 10*4+6

53 = 10*5+3

From these, one can understand how the numerical statement can be generalized.




                                                                                                    ---------- be continued