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Archive for August, 2013

Students with autism outperform their peers at Mathematics

August27

Children with autism and average IQs consistently demonstrated superior math skills compared with nonautistic children in the same IQ range, according to a study by researchers at the Stanford University School of Medicine and Lucile Packard Children’s Hospital. “There appears to be a unique pattern of brain organization that underlies superior problem-solving abilities in children with autism,” said Vinod […]

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Is Math the language of the universe?

August24

In 2008 the Boston Globe paper carried an article about Mario Livio, an astrophysicist at the Space Telescope Science Institute in Baltimore “whose work and worldview…depends on math and an underlying faith in its incredible power to explain the universe. But over the years, he has been nagged by a bewildering thought. Scientific progress, in everything […]

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Calculus and 3 types of Math Models

August22

  Why do we learn Mathematics? Why is Calculus important? How does Mathematics help in designing spacecraft? What are some practical applications of the kind of mathematics I might do when I get to college? Click on this short video for some ideas!

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How Mathematics is used on the International Space Station

August20

Related video on Volume and Mass  

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8th Grade Exam from 1912

August16

“This copy of the Eighth Grade Exam for Bullitt County Schools (Kentucky, USA) in 1912 was donated to the museum…This version of the exam was probably a master version given out to the schools (note that the spelling words wouldn’t be written on a test.) The museum has been told that the exam was handed […]

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Thinking Mathematically!

August15

What a mental adventure mathematicians have! Questioning, visualising, exploring, reasoning, justifying, thinking, questioning, problem-solving, representing and modelling! These are all aspects of thinking mathematically. Click on this link for more information and examples from nrich maths.

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3D Printing – “Beam me down, Scotty!”

August10

“The original TV series Star Trek was revived in the 1980s with Star Trek: The Next Generation. The new series featured technology in the 24th century, including a replicator (seen in this picture). This make-believe device had the ability to create inanimate matter into a desired molecular structure such as tools, assembly parts, weapons, and food. Fast […]

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Trig Ratios – Part 2

August9

Look at the following equations and see if you can find the mathematical pattern; Sin 30 = 0.5 Cos 60 = 0.5 Sin 60 = 0.866 Cos 30 = 0.866 Sin 0    = 0 Cos 90 = 0 Sin 45 = 0.707 Cos 45 = 0.707 Sin 80 = 0.985 Cos 10 = 0.985 […]

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The Three Trig Ratios

August8

If you look at a scientific calculator you will notice that there are three unusual buttons labelled “Sin”, “Cos” and “Tan”. These are the 3 Trig Ratios, used to find the length of sides on a right-angled triangle (like the one below). I have found, from years of teaching, that it is easiest to remember […]

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MoMath founder, on math’s image problem…

August6

Glen Whitney, founder of MoMath, makes interesting comments on the image issue common in Mathematics education today (article source from Smartplanet); And you’re the only math museum in North America. That’s correct. Sounds like Germany really likes math. Well, there’s a very distinguished history of mathematics there. It’s likely that the museums are a reflection of the […]

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Post Support

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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