Self Study (Part - 2) - K Bhanumoorthy

Self—study (Part II)

                                      In continuation of Self - study  part I , I would like to put across and share what has been carried out during the tenure as principal in a  school. I have mentioned, in the article self- study, in classroom.  In a school there  may  be  occasions  where teachers might be on leave  on  some  personal  grounds; On some occasions official duty outside. In that situation a teacher is put on duty to manage the class (as substitution duty) so that no untoward incidents take place in class rooms, a teacher is a must .Classes above 8^th ,the under mentioned, approach  can be tried out under the  supervision or without supervision and be implemented.

    

                    Quote from Sh. A P J  Abdul Kalam ji  formal  president of our country.

                   “ Personal  development is not something you achieve within a week or a year . It’s a  life long  process of learning ,improving different skills and qualities.  Suppose to be aware  of  strengths  and weaknesses of self ,they will certainly push up for self -development.”

                    Every class is allotted to a specified teacher as Class teacher of that particular Class. Class teacher has  to  work  earnestly,  co-opt in executing the project taking the support and required help from  colleagues, be implemented in letter and spirit. The first requite is to maintain a self- study notebook.  In the Index page the under mentioned  columns  be made .

                    1. Sl. No.,  2. Date,  3.  Period  ,  4. Subject ,  5.  Unit  learnt,  6. Sign of Cl Tr., 7. Sign  Of  Principal, (Head of Institution), 8. Remarks ( CL Tr  means class teacher ).

                    How  can be done ?

                    Student are asked to study themselves. If  no teacher  is  there , self -  disciplined  to be maintained to the core, the whole class. Students are permitted to study whatever interested in. The work or the contents what studied to be  noted  as per  format , given in the index page. 

                            At the end of the month the notebooks are to be submitted to the Principal ( the  Institution head—whoever  I / C on the seat).Students are shown the right path ,how to be self- disciplined and how could help themselves in learning  process. I would like to stress no group work only individual study. In case teachers have planned their leave well in advance , students  might be intimated what to study, a sort of  preparation for any, forth coming  internal assignment.

                          Let me conclude with a Quote:

                          “ Tell me and I forget

                             Teach me and I remember

                              Involve me and I learn.”

                                                                                   -------Benjamin Franklin

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Self - study ( Practice) IN LEARNING Mathematics .- Mr K Bhanumoorthy

Self - study ( Practice)  IN  LEARNING   Mathematics .    Part I

 

 

Self- study is an another method of learning. In this method students are directly involved .This kind of learning, might take place inside the classroom or outside the classroom, with direct supervision or without  direct supervision. Self- study, definitely helps an individual to retain the knowledge and to proceed further ,quite useful to enhance one’s learning experience ,shall be able to go beyond textbooks and the  knowledge already gathered / gained/acquired , from their teachers.

                                     

Now the question is how to motivate, self-study   ?

 

Generally students do read comics, novels, magazines of their own interest, under reading habits, according to their taste to enhance the eyes span, comprehension ability, to acquire general knowledge in certain areas of study, derive pleasure. In the same way, students can take up study materials, available with reference to the related topics/units. This is possible only when?   Learning has to be a joyful experience.

                                    

Fear complex in the subject is to be removed, so to say phobia. This can be done by conceptual teaching learning process. The subject is to be linked with daily life situations where  it  is applied ,make the students realize  and be motivated  why to study mathematics .Teaching has to be effective by using various techniques, using appropriate teaching aids, activity oriented lessons .Students are  to be involved in project  oriented activities, the teacher  can adopt  new  method / approach, be innovative so that  even difficult topic/unit be made easy. By these means whatever is learnt, is retained ever.

 

Benefits of Self- study   :  

 

1.   Students are actively engaged, ponder over linkage, applications relevant to the topics whatever is being studied.

2.   Students shall be able to search for additional information to be thorough in the topic/ unit.

3.   Students become more confident, independent, thereby their self-esteem goes up.

4.   Curiosity is raised to know more, why, why not, how to proceed, alternate methods (open ended approach).

5.   Feel comfortable, learn one’s own pace.                                                                   

 

                          Ways  and  Means :  By TEACHERS.

 

1.   To suggest appropriate, standard reference books, articles, magazines, even the authorized and approved Videos.

2.   To give graded questions for practice, follow up there upon, if mistakes are committed, guiding them to realize and rectify.

3.   To give application questions, to solve in classroom or outside classroom. Ample opportunities are to be provided to interact and exposure, to find the solution. Praise and appreciation for good work done however small it could be .

4.   Plan your work, work for your plan, keeping your, specific objectives, desired learning outcomes.

 

                         Have Vision and Mission. 

 

Sincere                    Expertise                  Learning                    Fabulous;

Salient    Testimony                    Upright                    Dignified     Yield.          

 

Dear Teachers in this write up, I have shared  my  experiences , as a teacher.

Let me end up with a quote:

 The will to win, the desire to succeed, the urge to reach your potential ……….. .These are the keys that will unlock the door to personal excellence.

 

                                                                                        -----------Confucius

 

Mr. Bhanumoorthy Krishnamoorthy is a retired KV principal. He is presently living in Bangluru. A dedicated author with more than 30 years of teaching experience is a Director of Southern Region of All India Ramanujan Maths Club, Gujarat

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Birthday Magic Square- T R Jothilingam

                                  Magic squares

                               Picture Credit: -    

 (https://momath.org/civicrm/?page=CiviCRM&q=civicrm/event/info&id=1001&reset=1 )      

Magic squares are a set of numbers, arranged in a set of 3 × 3 or 4 ×4 or      5 × 5 squares, in which all the Vertical, Horizontal and both diagonal totals are equal. 

Normally a 3 × 3 magic square natural numbers 1 to 9 are used, and for 4 × 4 numbers 1 to 16 are to be used.  In general for a “n × n” magic square numbers    “1 to n²” are to be used.  And the total of the magic square must be “(1 + n ²)   divided by two and multiplied by ‘n’ (number of rows.). (First number plus last number to be added,  and divided by two, and multiplied by the number of rows).    These magic squares can be done from 3 ×3, 4×4…..up to any highest number in the world.

Do you know the the first Magic Square with Magical constant 15 is called Lo-shu Magic square?

King Yu found a tortoise in 12th century with magical constant 15 on its top.

Magic squares can also be made with using fractions, zeros, negative numbers, with squares, cubes also.  We can make magic squares for a given date of birth, or for a given number etc. etc.

Example:

For 3 × 3 magic square numbers 1 to 9 are to be used.

The row total will be 1+9=10 /2 =5 × 3=15.

3  × 3 Magic square: Total 15.                     3 × 3 Total 2019

8	1	6
3	5	7
4	9	2

676	669	674
671	673	675
672	677	670

                 

   

4 × 4 Magic square total 34.    

   {(1+ 16) /2} × 4 = 34                                 4 × 4   Total  2022

16	2	3	13
5	11	10	8
9	7	6	12
4	14	15	1

513	499	500	510
502	508	507	505
506	504	503	509
501	511	512	498

                                                                                             

  5 × 5 Magic square  Total 2020                  5 × 5  Magic Square Total =65

408	415	392	399	406
414	396	398	405	407
395	397	404	411	413
401	403	410	412	394
402	409	416	393	400

17	24	1	8	15
23	5	7	14	16
4	6	13	20	22
10	12	19	21	3
11	18	25	2	9

 Total 1+25= 26/2=13                                  

  Srinivasa Ramanujan Birthday Magic Square 

                    (Srinivasa Ramanujan 22-12-1887 to 26-04-1920)

Kindly follow the simple procedure to unlock the mystery to do the same.The following is a table with variables, which we will use in the explanation

22	12	18	87
68	50	17	4
35	21	51	32
14	56	53	16

        Total    139

A	B	C	D
E	F	G	H
P	Q	R	S
W	X	Y	Z

1)      Write the date in the top row first square (22), month in the second square (12) and year in two parts in the third (18)  and fourth square (87)

2)      Add all the four numbers and write on the top of the square (139).

3)      Now we have to make a 4 × 4 magic square for the Total 139

4)      Draw a empty 4 × 4 square and replace 22 by A, 12 by B, 18 by C and 87 by D.

5)      Now we know A, B, C and D. Rest of the values we have to find out.

6)      Count all numbers in the total 1+ 3 + 9 = 13. Then 1+ 3 = 4. (add all numbers and make it a single digit.  Write this in the H square

7)      Now add B + C ( 12 + 18 = 30). Spilt  30 into two parts. i.e 14 and 16. Write 14 in W square and 16 in the Z square

8)      By using the properties of Magic square, i.e all vertical, Horizontal and both Diagonal totals are equal, we are going to solve this Magic Square.

9)      In the Fourth vertical column, we know the values of D, H, Z.   We have to find Out the value of S. Hence S = 139 – ( D + H + Z ) = 139 — ( 87 + 4 + 16 ) = 139 – 107 = 32. This is the value of S. Write 32 in the S square

10)  Now in Diagonals, we know the value of  A and Z . Hence the value of F + R = 139 – (22 + 16) = 139 - 38= 101. Split  101  into two parts 50 and 51 and write it in the F and R squares. F = 50 and R = 51.

11)  In another diagonal, we know the value of D and W . Hence the value of G + Q = 139 – ( 87 + 14 ) = 139 - 101 = 38. Split it into two parts 17 and 21 and write it in the F and R squares. G = 17 and Q = 21.

12)  In the second row, we know the value of F, G, H. Hence value of E = 139 - ( F + G + H ) = 139 – ( 50 + 17 + 4 )= 139 – 71 = 68. Write 68 in E.

13)  In the third row, we know the value of Q , R , S. Hence value of  P = 139 - ( Q + R+S) = 139 – ( 21 + 51 + 32 ) = 139 – 104 = 35. Write 35 in P.

14)  Now in the second vertical column, we know the values of B, F, Q. Hence value of  X = 139 – (12 + 50 + 21 ) = 139 - 83 = 56. Write 56 in X

15)  Now in the third vertical column, we know the values of C, G, R. Hence value of       Y = 139  – ( 18 + 17 + 51 ) = 139 - 86 = 53. Write 53 in Y

16)  Now add the values of W, X, Y and Z.  You will get 139,   the total of the Magic square

VOW !!!   MAGIC SQUARE FOR 22 - 12 - 1887 IS READY.  All the vertical, Horizontal and both diagonal totals are equal to 139.

Enjoy Magic square for your date of Birth too !!!

Author:- T R Jothilingam
Enjoy more Puzzles in my website and blogs :  http://www.jollymaths.com/