Math and Multimedia Blog Carnival #14

Welcome to the Math and Multimedia Blog Carnival #14.

As is the usual tradition we’ll start with some properties of 14, first words to WolframAlpha which provides properties for any number entered including the prime factorisation and various properties. If we choose to investigate fourteen as word instead we could look for example at the frequency of use over time as well as definitions of the word.

We could even find out the Scrabble score for fourteen!

A great site for investigating number properties is Tanya Khovanova’s Number Gossip site, here we learn that 14 is a Catalan number, composite, deficient, even, odious and square free. The site gives clear definitions of all the terms used.

Teaching

Having discussed number properties it seems appropriate to move to the first carnival submission where Jonathan Walsh presents Improve your Mental Maths posted at Smart Blog.

Erlina Ronda presents Introducing triangle congruence at Mathematics for Teaching.

William Emeny illustrates an excellent resource for illustrating the Monty Hall problem in Stay or Switch? The Monty Hall Problem at Great Maths Teaching Ideas.

Shari has written a thoughtful post Is Math Black and Whiteat Math + Technology = Fun.

Thinking about older students including those going into higher education Colleen Young (that’s me!) wrote this post ‘For Students‘.

Problem Solving and Proofs

Guillermo P. Bautista Jr. presents Paper Folding: Locating the square root of a number on the number line posted at Mathematics and Multimedia.

Real Life Mathematics

Pat Oaklief presents How You Can Support Your Daughter in Math and Science posted at her Amigram Blog.

David Wetzel discusses making real world connections in the teaching of algebra at Teaching Science and Math and David Wees has fitted a parabola to the curve of a leaning plant in Leaning Plants at 21st Century Educator.

Technology

John Golden has been trying out Doink and presents Linear Animation posted at Mathhombre.

You will see I have mentioned Evernote in the above blog post ‘For Students‘ – it seems appropriate to illustrate an Evernote shared notebook with this one I created for Carnival resources.

This is a carnival so we should really end with some music – mathematical songs of course!

That concludes this edition. Thank you for reading. Submit your blog article to the next edition of Mathematics and Multimedia Blog Carnival using our carnival submission form. Past posts and future hosts can be found on our blog carnival index page.

For Students….

With older students in mind including those about to enter higher education, there are many free resources available to support students in their study of Mathematics.
Note that a new blog aimed at students is now available.

There are many sources of excellent notes online. See this Evernote shared notebook: Mathematics notes for useful links. (You do not need an Evernote account to view the notebook). Some of these sites include videos, for an extensive collection of videos try Khan Academy.
Alternatively, use the Livebinders version of Mathematics Notes.

On the subject of Evernote – it is a valuable tool for any student or teacher.
Other tools which may be of interest are on Digital Tools for Students.

Students going on to study Mathematics degrees have a look at Kevin Houston’s ‘How not to get a good mathematics degree‘ and ‘How to get a good mathematics degree‘. He also has provided a pdf file you can download: 10 Ways to Think Like a Mathematician. Kevin Houston works at the University of Leeds.

I would advise students of any subject to learn to use WolframAlpha. Suppose you wish to do some revision on techniques for differentiation for example – ask WolframAlpha to differentiate x2sinx, and the derivative will be returned with possible working available if  ‘Show steps’ is selected. (Further Calculus examples). WolframAlpha provides an excellent way to check your work.

WolframAlpha will plot graphs, there are many other free and excellent online graphing tools, see the Desmos Graphing Calculator for example and many other online graphing tools. (See this page for polar curve plotters).

Thinking longer term – have a look at the excellent Maths Careers site.

Mathematics Crosswords

angles crossword

Crosswords provide a good way to improve Mathematical vocabulary. There are various resources available online including puzzles to play and software to create your own puzzles.

The MathsGoodies site includes some free interactive crossword puzzles.

A variation on crosswords are crossnums where the clues are all sums, see for example a good selection of Crossums from Teacher Resources on Line (a site developed by the late Frank Tapson, who worked with CIMT which is well worth exploring). This collection includes a blank template so students can create their own puzzles.

Make your own crosswords with excellent free software – Eclipse. The grid shown in the image above was generated by the Eclipse program. Click on the image to download the crossword and solutions as a pdf. The program is very straightforward to use and includes a clear tutorial section. See these posts on reference resources for inspiration for crossword clues. Transum created this interactive crossword with the software from Eclipse. (The crossword is in fact one of the resources on their excellent ‘Starter of the Day‘)

Note that the links to the interactive crosswords have been added to a new page on Mathematics Games.

Words with WolframAlpha

WolframAlpha can be used for vocabulary, for example try typing ‘plus’ into WolframAlpha.

Note that WolframAlpha has assumed plus is a character but you can choose to refer to a mathematical definition or a word (or an internet architecture topic). Choosing word will not only give definitions but a wealth of other information that you would not find in a dictionary such as the first known use of the word, frequency of use, rhyming words and much more!

Other sites of interest for Mathematics vocabulary have been mentioned in this Mathematics Reference post. If you are interested in the first know use of mathematical words then try Jeff Miller’s ‘Earliest Known Uses of  Some of the Words of Mathematics‘.

Mathematical Carnivals

The Math and Multimedia Carnival 13 is published today on Math and Multimedia. If you have not seen any blog carnivals before they can be an excellent way to explore new blogs and learn more about what is available out there!

I will be hosting Carnival 14 here, articles may be submitted using this link. (Submission deadline for Carnival 14: August 27th).

Note that there is now a new page under Reading with links to all the carnivals to date and further information about the type of article required.

Image: Salvatore Vuono / FreeDigitalPhotos.net