The Mathenæum Blog » Arithmetic http://www.thewessens.net/blog Discussing mathematical explorations, games, and learning Fri, 03 Jul 2015 01:35:49 +0000 en-AU hourly 1 http://wordpress.org/?v=4.1.5 Ratios — calculations from the dawn of mathematics http://www.thewessens.net/blog/2015/03/19/ratios-the-super-fractions/ http://www.thewessens.net/blog/2015/03/19/ratios-the-super-fractions/#comments Thu, 19 Mar 2015 08:29:57 +0000 http://www.thewessens.net/blog/?p=316 Ratios and fractions are very similar things, since they are both arise from comparing the relative sizes of quantities. Let’s quickly review what exactly a fraction is. If you think of a “whole” as made up of some number of …

]]> Ratios and fractions are very similar things, since they are both arise from comparing the relative sizes of quantities. Let’s quickly review what exactly a fraction is. If you think of a “whole” as made up of some number of …

]]> http://www.thewessens.net/blog/2015/03/19/ratios-the-super-fractions/feed/ 2 Recurring decimals are cool! http://www.thewessens.net/blog/2015/03/16/recurring-decimals-are-cool/ http://www.thewessens.net/blog/2015/03/16/recurring-decimals-are-cool/#comments Mon, 16 Mar 2015 08:03:21 +0000 http://www.thewessens.net/blog/?p=256 I was thinking about maths teaching the other day (I’m sure you’ll not be surprised to know this is something I often do) and in particular about the different approaches teachers bring to the subject. Teaching maths is a challenge …

]]> I was thinking about maths teaching the other day (I’m sure you’ll not be surprised to know this is something I often do) and in particular about the different approaches teachers bring to the subject. Teaching maths is a challenge …

]]> http://www.thewessens.net/blog/2015/03/16/recurring-decimals-are-cool/feed/ 0 Puzzles with 4 numbers, and the amazing power of powers http://www.thewessens.net/blog/2015/03/14/4-numbers/ http://www.thewessens.net/blog/2015/03/14/4-numbers/#comments Sat, 14 Mar 2015 12:14:34 +0000 http://www.thewessens.net/blog/?p=178 A fun puzzle is to choose a number between 1 and 10, then using that number exactly four times in an expression involving basic mathematical operations, i.e. at least +,_,\times,\div but also possibly \sqrt{~~}, n^n, see what values you can create.

For …

]]> A fun puzzle is to choose a number between 1 and 10, then using that number exactly four times in an expression involving basic mathematical operations, i.e. at least +,_,\times,\div but also possibly \sqrt{~~}, n^n, see what values you can create.

For …

]]> http://www.thewessens.net/blog/2015/03/14/4-numbers/feed/ 0