# CTK Insights

• ## Pages

28 Jan

### A Christmas Warning to Parents

TweetA recent article at MailOnline by Laura Clark made public the findings of a research conducted over the past 5 years by the experts at the Higher Education Policy Institute. As many as 12,000 children a year miss out on university places because they were born in the summer, research shows. Children born late in […]

22 Jan

### Dividing Apples as a Motivation for Fraction Addition

TweetHow to divide evenly 7 apples between 12 boys? An obious answer is to divided each apple into twelve parts and give each boy seven of them. But assume there is a restriction: one does not know how to divide an apple into more than 5 parts. What do you do then? See Why 1/3 […]

19 Jan

TweetWonderment at the identity -1 = 1 + 2 + 4 + 8 + ... dwarfes the perennial question as to whether .9999... equals 1 or not. Still, it holds in exactly same sense as the limit of a convergent series. The sums of the successive powers of 2 converge in the 2-adic norm! Moreover, […]

12 Jan

### Latest at Interactive Mathematics Miscellany

Tweet  Equilateral triangle is the largest among all inscribed into the same circle http://www.cut-the-knot.org/triangle/InscribedEquilateral.shtml arctan(1)+arctan(1/2)+actan(1/3)=π/2, http://www.cut-the-knot.org/Curriculum/Geometry/ThreeSquares.shtml arctan(1)+arctan(2)+arctan(3)=π, http://www.cut-the-knot.org/pythagoras/PaperFolding/arctan123.shtml

04 Jan

### Stunning art

TweetArt in sand. No mathematics, but so beautiful.