Back to School – Friendship Math

Group Of Children Sitting On Bench In Mall

It is the first day of a new school year, and this class has only 10 students.  Ashley has 9 friends, Betty has 8, Caleb has 7, Derek has 6, Elaine has 5, Graham has 4, Henri has 3, Ivana has 2, Julie has 1.  Name one of Fred’s friends.

Answer

friends4In a group of 4 school children, each child has exactly two friends, just one of which is their best friend. What is the minimum possible number of children for whom their best friend is also that friend’s best friend?

Answer

 

It is the first day of a new school year, and this class has only 10 students.  Ashley has 9 friends, Betty has 8, Caleb has 7, Derek has 6, Elaine has 5, Graham has 4, Henri has 3, Ivana has 2, Julie has 1.  How many friends does Fred have?

Answer

It is the first day of a new school year, and this class has only 5 students. Amy has no friends yet. Betty has one friend. Chris has three friends. Derek has two friends.  How many friends does Ellie have?

Answer

In a group of five students, Ann has one real friend among them, Betty has two,  Craig has three, and Dianna has two. How many real friends does Edgar have in the group?

Answer

Math Symbols

We use math symbols to express complex mathematical texts in a shorter form.

=   replaces   “is equal to

+ replaces “and

×   replaces   “multiplied by

. . . .

There are many Greek symbols like   π ∑   and special symbols like   √ ∞ ∈   in mathematics.

John David Walters explains where math symbols come from in the video:

Interesting Maths Facts

 

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  • Notches (cuts or indentation) on animal bones prove that humans have been doing mathematics since around 30,000 BC.
  • Ancient Greeks used little rocks to represent numbers. The name of Calculus means pebbles in Greek.
  • The = sign (“equals sign”) was invented by 16th Century Welsh mathematician Robert Recorde, who was fed up with writing “is equal to” in his equations.
  • The word hundred is derived from the word “hundrath”, which actually means 120 and not 100.
  • Zero (0) is the only number which cannot be represented by Roman numerals.
  • Many Chinese hospitals do not have a 4th floor  because the words four in Japanese, Cantonese, Mandarin and Korean (shi, sei, si, sa) sound the same as the words in those languages for death.
  • Forty is the only number with letters in alphabetical order, while one is the only one with letters in reverse order.
  • The number 5 is pronounced as ‘Ha‘ in Thai language. 555 is also used by some as slang for ‘HaHaHa’.
  • Zero is an even number. Mathematicians remember it. Many people take longer to decide whether it is even or odd.

Estimate or Calculate?

” in the real world, we constantly settle for estimates, whereas mathematics — see the SAT — demands that you get the answer precisely right.” – Andrew Hacker in The New York Times article “The Wrong Way We Teach Math

 

boy sitting on money, money concept

Estimate or Calculate?

My answer is one of them and do it fast.

Mathematically Correct Way to Cut a Cake

What is wrong with cutting a cake? We always do it in a wrong way. What is better way? Alex Bellos gives the answer.

WSJ: Mathematician is The Best Job

Starting from 2009, The Wall Street Journal repeats “Another day, another reason to get better at math.” Mathematicians top the list of the Best Job:

The 10 Best Jobs of 2014Financial charts with lighthouse on the background

There are not many positions that are called “mathematician”. When you are good in math you work as a Problem Solver and have different titles: engineer, project manager, CIO, CTO, CEO, software engineer, business developer, etc.

Choose the Best Job = be good in Math!

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 form of math problems is passionately described in his book at Amazon.

Hannah Fry’s TED Talk on the subject: