Monday, 25 December 2017
Mathematics puzzle
Can you find the correct number which should replace the question mark in the picture below
Solution:
3
simple Mathematics puzzle- Ratio
Can you find the area of the green shaded region labelled with a question mark?
Solution:
This problem can be solved with similar triangles property.
The White triangle is similar to the Red one
Now Ratio of sides is 2:3 (as ratio of areas = ratio of based if the height is same)
Seeking that, White triangle = 9/4 * Yellow triangle = 9/2
Following all the above, the Green region = 5.5 units
The White triangle is similar to the Red one
Now Ratio of sides is 2:3 (as ratio of areas = ratio of based if the height is same)
Seeking that, White triangle = 9/4 * Yellow triangle = 9/2
Following all the above, the Green region = 5.5 units
Saturday, 23 December 2017
stroy behind Ramanujan number
Before his return to India, Srinivasa Ramanujan was lying on the hospital bed of Colinette House, a few miles southwest of London. Hardy came to visit Ramanujam by a taxi-cab, the number of which happened to be 1729.Enquiring after the latter's health, Hardy blurted out that 1729 was rather a dull number, adding that he hoped that wasn't a bad omen.
"No Hardy," said Ramanujan instantly. "It is a very interesting number. It is the smallest number expressible as the sum of 2 cubes in 2 different ways: 12 cubed+1 cubed as well as 10 cubed+9 cubed.
Finding numbers that are the sum of one pair of cubes is easy. For instance, 2 cubed+3 cubed=35. But can we get to 35 by adding some other pair of cubes? We can't. As we try the integers one by one, it is the same story. One pair is easy, two pairs never--never, that is, until we reached 1729.
Hardy was astounded at the lightening insight of Ramanujan's razor-sharp brain even during the worst of his debilitating health and in the face of his imminent death
National Mathematics Day
National mathematics day: India remembers Srinivasa Ramanujan
Updated: Dec 22, 2017 | 17:30 IST | Times Now Digital
Srinivas Ramanujan
New Delhi: On the 130th birth anniversary of famed mathematician Srinivasa Ramanujan, India celebrates December 22 as National Mathematics Day. His contributions to number theory, infinite series, mathematical analysis and continued fractions have found itself as the basis for future research.
Born in a Tamil Brahmin family in Tamil Nadu on December 22, 1887, Ramanujan grew up to excel in the field without any formal training in pure Mathematics.
Ramanujan's genius came to light in 1913 when English mathematician GH Hardy at the University of Cambridge in England recognised the samples sent to him to via post as 'extraordinary'. Hardy later arranged for Ramanujan's travel to Cambridge.
Comparing Ramanujan's excellence with the likes of Euler and Jacobi, Hardy stated that a 'single look' was sufficient to establish his work of the highest calibre.
Apart from being the first Indian to be elected a Fellow of Trinity College, Cambridge, Ramanujan put together nearly 4,000 results such as identities and equations. His notable works include Ramanujan conjecture, Landau-Ramanujam constant, Mock theta functions, Ramanujan Prime, Ramanujan-Soldner constant, Ramanujan's sum, Ramanujan's master theorem among others.
Nearly all his propositions and claims with respect to the field of mathematics have been proven accurate, and his formulas and theories have inspired further research.
Being a Tamil Iyengar, Ramanujan was a pure vegetarian and religious. 'An equation for me has no meaning unless it expresses a thought of God,' he had once said. Married at the early age of 12, Ramanujan's child bride Janaki was only about 10. He died at a very young age of 32 in 1920 owing to hepatic amoebiasis, according to reports
National Mathematics day - December22
New Delhi: To commemorate the birth anniversary of great mathematician Srinivasa Ramanujan, India today celebrates National Mathematics Day.The declaration to observe 22 December as National Mathematics Day was made by former Prime Minister Dr. Manmohan Singh on 26 February 2012 at Madras University on the occasion of 125th birth anniversary of Ramanujan.On this occasion, India and UNESCO agreed to work jointly in spreading the joy of mathematics and knowledge to students and learners across the world.An unparalleled genius and a self-taught mathematician, Ramanujan found his true calling in numbers and made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. His love for maths was so much so that he failed most of the subjects in school.He didn't live long but in his short life he compiled more than 3900 mathematical results and equations, and his discoveries namely Ramanujam Prime and Ramanujam theta inspired further research on the subject
Sunday, 17 December 2017
Friday, 8 December 2017
TEACHING PRACTICE WEEKLY REPORT
TEACHING PRACTICE WEEKLY REPORT- 4
WEEK 4 (04-12-2017 to 08-12-2017)
This was the fourth week of our teaching practice. In this week there
were five working days. As l hoped things went well in this week. In this week I
got 7 periods in my class. The last week was the sub district kalothsavam held
at Boys Higher Secondary school Punalur. In this Kalothsavam our school (St
Goretti H S S Punalur) won the overall champions(both High School section as
well as Arabic Section). So the school was a very happy atmosphere. On Monday morning
there was a school assembly especially for applauding the winners of sub
district Kalothsavam and well wishing the students who have been selected to
participate in the State level. On the Thursday morning also there was a
special assembly in order to congratulate the winners of Social science Fair.As
the State level Kalothsavam was going on and the teachers had to accompany
those students participating different items we got many classes to engage. Through
this week I completed the portions needed for Christmas exam.
On Monday , fourth December
there was a special assembly. As per the timetable I have two classes today. Third
period and sixth period. on the first period I completed the section “Construction
of Trapeziums”. On the sixth period l started the new topic Quadrilaterals
using Concept Attainment model. The students are very interesting while using
the models of teaching. Today I observe the classes of Veena Valsan (second
period -8D) and Lincy Varghese (fourth period -8H)as part of Peer Review. Both of
them belonging to Mathematics option. Many of my peers had observe my class and
gave me good comments on my teaching .i got some substitution periods in 9A,,8F,
7D
On Tuesday, as per
timetable I have no classes today but I got one substitution period. Our Mathematics
(option) teacher Dr. Tharamma George observes my class during the fourth
period. She said some good words about my teaching and gives some suggestions for
further improvement. Iam very happy today😊. Today I got substitutions in 7F, 8A,
9E, 9D
On Wednesday I got
two classes in 8J. On the fourth period l completed the section Construction of
Quadrilaterals as well as the portions needed for Christmas exam. On the last period l conclude the chapter by
saying the different methods for constructing different quadrilaterals. As part
of Peer review today I observe the class of Juby Jose(8G). Today I got
substitutions in 7F, 9D only.
On Thursday I got
only one period. On the fourth period I conduct
an Achievement test based on the chapters Ratio and Construction of
Quadrilaterals. On Friday I got one substitution period on 8J . In this period
l give back the corrected answer sheet and clarify their doubts.
Today (Friday) we leaving the
school due to the commencement of Christmas examination and vacation. After a
short period of time we will be back to
our school.😊😊😊😊😊😊😊😊😊
Friday, 1 December 2017
WEEKLY REFLECTION 3
TEACHING
PRACTICE WEEKLY REPORT-3
WEEK 3(27-11-2017 to
1-12-2017)
This was the third week of our teaching practice. There
are only four working days in the school this week because Friday (First December)
is a public holiday (Nabidinam).The sub district kalothsavam was held at
Punalur Boys Higher Secondary school from this Monday to Thursday. In this week
also some students were busy in the practices of different programmes. Our
children have been successful in many programmes. On the Tuesday morning, there
was a milk supply in the school. We will also help for serving milk. We would
also help to serve lunch at school. In this week we got a number of
substitutions in different classes.
In this week I got seven periods in
my class. I was able to complete the section “Construction of Parallelogram”
and started the next section “Construction of Trapeziums”. I used paper cut-outs
of parallelogram, Rhombus, Trapezium, Isosceles trapezium, charts depicting the
steps of certain constructions as teaching aids.
As per timetable I had two classes
on Monday, third and sixth period. Both periods I teach different methods of
constructing Parallelogram and Rhombus using given data. As a part of the peer
review I observed the class of Lincy Varghese of Mathematics option . She had
good interaction with students and managed her class well. She dealt with the
topic Area of quadrilateral in the class 8 H. She use activity card as teaching
aid. Apart from that I also observed the class of Juby Jose(8G). She dealt with
the topic construction of trapezium .She also managed the class well.
On Tuesday I had no classes as per
timetable but I got two substitution periods on 8j. on the first period I teach
the construction of some patterns and next period I took a remedial teaching
class on the basis of diagnostic test. During the fifth period I observe the
class of Shynu Shams of Mathematics Option. The topic dealt was construction of
rectangle.
On Wednesday
I had two classes as timetable fourth and seventh period. I teach the remaining
patterns of Parallelogram. Today as part of peer review I observed the class of
Veena Valsan (8D). She dealt with the topic construction of trapezium. She used
chart as teaching aid. During the fifth period I observed the class of Lincy Varghese.
On Thursday I got two periods in my class. I completed
the “construction of parallelogram” and started the new topic “Construction of
Trapeziums”. Friday is holiday (Nabidinam).😢
Overall this week
was a very good experience for me . In this week we (Veena B and Varghese)plan an outline for our conscientization programme .Our topic was
DEFORESTATION Waiting for a beautiful week😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊
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