Mathematical Beauty

e + 1 = 0

Euler’s identity is often cited as an example of deep mathematical beauty.

Constance Reid: Euler’s identity is “the most famous formula in all mathematics”.

Euler’s Identity is a special case of his formula from complex analysis suggested by Swiss mathematician Euler in  1748.

The identity links five fundamental mathematical constants:

  • The number 0
  • The number 1
  • The number π (π = 3.141 . . .)
  • The number e (e = 2.718 . . .)
  • The number i, the imaginary unit of the complex numbers.

Euler’s Identity “is absolutely paradoxical; we cannot understand it, and we don’t know what it means, but we have proved it, and therefore we know it must be the truth”. – Benjamin Peirce.

aplusclickEulerIdentity

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We Lack Numeracy Skills

Alan Smith reported amazing statistics of adult numeracy:

2011 England Survey: 49 of 100 adults lacked of numeracy Level 1 skills (fractions, percentage, and decimals).  The figure is only shocking for 51% of population.

OECD reported (PIAACX2012) that forty percent of USA young people aged 16-19 were below Level 2.

This is statistics. Statistics is a part of mathematics and it is about us as a group.

There are two categories of people who can and who cannot do numbers.

Are You in a category of people who are comfortable with numbers? Check / train yourself at the website A+Click

Mystic Number 7

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Why we frequently use number 7?

Why there are seven days of week? seven deadly sins? seven wonders? . . . .

Look for the answer in the night sky or at aplusclick.org

Liar’s Math

Aplusclick Pinocchio

Pinocchio lies

When Pinocchio lies, his nose gets twice as long. When he tells the truth, his nose gets 1 cm shorter.

Today, his nose was 1 cm long in the morning, and it is 100 cm long in the evening.

What is the least possible number of times he opened his mouth today?

True and Random

Two gods  are called True and Random. True always speaks truly and Random speaks randomly truly or falsely. You don’t know who is who.

Determine the identities of the gods by asking yes-no questions; each question must be put to exactly one god.aplusclickgods

Adapted from G. Boolos. ‘The hardest logic puzzle ever’, The Harvard Review of Philosophy (6), 1996.

 

You find the answers to the questions in Grade 12 questions at www.aplusclick.com

Aplusclick Math Apps for Grades 1 Through 12 Are on Apple Store and Google Play


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5000 A+Click Math Problems are available offline. If you have problems with Internet, Aplusclick has a solution for you. Aplusclick problems are now available on App Store and Google Play. You can solve all of 5000 problems working offline.

Aplusclick has just launched a series of apps for iPhone, iPad, and Android. It includes Math for grade 1 through 12. You can track your progress or reset your score anytime. Perfect practice makes perfect!

Where do you get it?

Online: www.aplusclick.com ,   iPhone or iPad,    Android: search for Aplusclick

aplusclickAppsStore     AplusclickGooglePlay

Mathematical Intelligence

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WHAT IS IT?

Mathematical reasoning is an essential part of literacy.

Literacy is “an individual’s ability to read, write and speak in English, and compute and solve problems at levels of proficiency necessary to function on the job and in society to achieve one’s goals, and develop one’s knowledge and potential.”  – American National Literacy Act of 1991

HOW TO GET IT?

Mary Matthews of Blitz Games Studio, UK says ” Exploration, experimentation, team building, problem-solving and independent, personalized, differentiated experiences [will tap into] the full potential games can offer for learning.”

SOURCE:

http://www.huffingtonpost.com/suren-ramasubbu/using-technology-to-improve-mathematical-intelligence_b_6907886.html

Mathematical Problems of Love

Are there math problems of Love. Certainly, there are many of them. The theme is very important for teenagers.Professional dancers

  • What are chances of being chosen?
  • How long do gentlemen wait ladies?
  • How many roses are needed?
  • How much do I spend for a present?
  • How Gerry must to play so that Jane always wins?
  • How to share the family income?
  • How to manage family projects?

There are many examples of such simple questions and answers at the page www.aplusclick.com/love.htm

AplusclickLove

Gerry Geek’s love story in for of math problems is passionately described in his book at Amazon.

Hannah Fry’s TED Talk on the subject: