Extraordinary Math Teaching by Dan Finkel

Dan Finkel suggested principles of extraordinary math teaching:

Math can the best of time or the worst of time.

 

 

1) Start with a question.

2) Thinking happens only when you have time to struggle.

3) (Teacher), you are not the answer key.

4) Say yes to your students’ ideas.

5) Play!

A marvelous quotation is attributed to the most brilliant scientist of the modern age, Albert Einstein: “Play is the highest form of research.”

 

 

 

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

A+Click 2014 Numbers

Education by computer2014 Annual Statistics

4600+ challenging problems for students in grades one through twelve;

500,000+ sessions on websites http://www.aplusclick.com and http://www.aplusclick.ru in 2014;

5’30” is the average duration of a session;

190 countries: USA 45%; India 9%; Canada 7%; Australia 5%; UK 5%;

10,000+ cities: top cities are  Brisbane, Australia; Chicago, USA; New Delhi, India;

25% visitors via mobile or tablets;

500 stars is the Best Score of the A+Click Challenge in 2014. Suhas, Bangalore, India is the best performer of 2014.

100 Best Performers of the A+Click Challenge in 2014: USA – 28%; Cambodia – 26%; India – 15%; Canada – 6%.

2,000+ people passed IQ Test; 454 people scored over 100;

100+ suggestions from users;

18,500 downloads of A+Click eBooks on iTunes;

A+Click continues the adventure in 2015!

aplusclick2014

The man who counted

The man who counted

“In 1932 Malba Tahan published what would became one of the most successful books ever written in Brazil – O Homem que Calculava – The Man Who Counted.”

No Math. No Problem!

John said:

No Math . . .  No Problem!

Real Word vs Math Word ???

SAT is a measure how much rich the guy’s parents are.

THE MOST IMPORTANT MATH SIGN

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A discussion on LinkedIn group «Math, Math Education, Math Culture» includes a simple question:

« What is the most important math sign (symbol) ? »

The question is vague, so everybody can differently interpret it.

There were more than 30 comments.

The proposals include:

0   1 +  =  ! …  <  * pi f(x) “all of them”

The several people mentioned “equals” sign (=).

Robert Recorde (1512–1558), a Welsh physician and mathematician introduced the modern “equals” sign (=) in 1557.

We can simplify something (2 + 3 = 5) or complicate the things (5 = 4 + 1) by using the sign. 

It is also my favorite.

Mr Barton’s Web Whizz Video on A+ Click Math

“I love NRICH, & whilst it remains my number one stop for rich maths puzzles & problems, this website might just be number two. There are literally 100s of puzzle & problems for students to solve. They are beautifully laid out on the page, making them absolutely ideal to project on the board to use as starter activities or extension work. I also suggest using them in the computer room as the website keeps a handy record of students’ progress through a series of puzzles. With the development of students creative thinking & problem solving growing in importance, this website is a must!” – Craig Barton

The Best Math Word Problems

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What are real-life math problems?

What are the funniest word problems?

What are the shortest word problems?

What are the most difficult word problems?

What are the best word problems?

Math and logic word problems. Here my preferred word problems go:

Practical:

How many tennis balls can fit in a school bus?

A goldfish need 1000 cubic inches of water to live in. 
An aquarium is 20 inches in diameter. 

How many fish can live in an aquarium?

Funny:

1 costs $10; 20 costs $20. How much does 100 cost?

99% of nuts and 99% of a nut cost as much as all nuts. How many nuts are there?

At least two Londoners have the same number of hair. Correct?

80% of IT projects fail, and 20% of managers are female. How many male managers succeed?

Short:

Does clock hands overlap 22 times in 24h?

How many zeros are at the end of 99!?

Make 33 by using three 3s and any signs.

Difficult:

Six Millennium Prize Problems set by the Clay Mathematics Institute have yet to be solved.

http://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics

The Best:

Short + Funny + Practical + Difficult = Best

My preferred math and logic word problems are at www.aplusclick.org

The latest collection of the best free A+Click Puzzles are at Apple App Store

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A+Click SMS Part 4

SMS stands for Short Math Situation. The SMS questions are limited to 64 characters.

91. How many 5-digit passwords are the same backwards as forwards? Answer

92. Which digit do I use less if I number 999 pages? Answer

93. How many digits are there in the result of 1001 power 11? Answer

94. How many are there symmetrical capital letters of the alphabet? Answer

95. Four cowboys fired once. What is probability that all are dead? Answer

96. What is the largest sum of two integers which product is 787? Answer

97. The time left today is half of the time passed. What’s time now? Answer

98. How many trials are needed to identify 3 keys for 3 keyholes? Answer

99. How many 2-digit integers have the sum of the digits equals 10? Answer

100. How much paper is needed to entirely cover a 40x30x12 box? Answer

101. How many apples were sold if 33, or 11% of the total, are left. Answer

102. What area does a line cover? It is 0.25 mm thick and 8 km long. Answer

103. 3 apples weigh in pairs 200, 204, and 208. Find their weights. Answer

104. What is the angle between the hour and minute hands at 14:20? Answer

105. How many small pieces of cheese you can get using only 5 cuts? Answer

106. How many Ancient Olympic Games were held from 776 BC to 393 AD? Answer

107. How much ribbon do you need to wrap around a 12x30x40 box? Answer

108. How many 7-digit phone numbers are there? Answer

109. Estimate the height of a lighthouse from which I can see 11km. Answer

110. Which days of the week occurred more frequently in 2012? Answer

111. 33 years, 33 months, 33 weeks, 33 days, 33 hours. How old am I? Answer

112. What is the smallest 5 digit integer with 5 different digits? Answer

The full collection of 100 SMS can be found at A+Click SMS.

A+Click SMS Part 2

A+ Click

SMS stands for Short Math Situation. The SMS questions are limited to 64 characters.

31. How many diagonals does a regular octagon have? Answer

32. How many times heavier than a rabbit is an elephant? Answer

33. If you live 100 years, how many times will your heart beat? Answer

34. How many handshakes take place at a 100 men meeting? Answer

35. How many 4-digit pass codes are there? All digits are different. Answer

36. What part of the American flag is red? Answer

37. 99% of N nuts and 99% of a nut cost as much as all nuts. Find N. Answer

38. Find the smallest number divisible by all numbers from 1 to 20. Answer

39. Work out the sum of all the integers below 100. Answer

40. I buy 5 eggs for $1 and sells 1egg for $5. What’s my profit? Answer

41. How to split $4, $5, and $6 in a ratio of 1:2:3? Answer

42. What is the probability that two kittens are boys? Answer

43. What is the probability that one of 3 idiots survives in a duel? Answer

44. At least 2 Londoners have the same number of hairs. Is it true? Answer

45. Is it possible to plant 10 trees in 5 rows of 4 trees? Answer

46. How many triangles can I make with six line segments on a plane? Answer

47. Divide $1234 into the ratio 1:2:3:4. Answer

48. How much costs an item after three successive discounts of 20%? Answer

49. One of 240 coins is odd. How do you use a scale to find it? Answer

50. Tom’s income and spending are 7/8 that of Tim. Who saves more? Answer

51. How many 11-digit numbers can you make using 0, 1? Answer

52. Find the smallest integer that is 4 times the sum of its digits. Answer

53. How many 0s are at the end of the product of 2-digit integers? Answer

54. Guesstimate the number of your ancestors in 200 years. Answer

55. How many tennis balls can fit in a school bus? Answer

56. O T T F F S S What is the next letter in this series? Answer

57. Find the angle between two diagonals of a cube. Answer

58. For which capital letter would you use more paint? Answer

59. How many $1 bills are numbered from AB01234567 to AB11111111? Answer

60. What occurs once in a minute, twice in a week, once in a year? Answer

A+Click SMS Part 1 (questions 1 – 30)

A+Click SMS Part 3 (questions 61 – 90)