Plans and Elevations – Wisweb Applets

This week I need some resources to demonstrate plans and elevations. There are several Wisweb applets from the Freudenthal Institute which are excellent for this topic. These work well on  the interactive whiteboard for demonstrating to students, they are also ideal for students to explore themselves.

Cube houses shows several models with their elevations, select drawing then 3d-model to give a model you can rotate  to generate different views.

Readers familiar with the excellent Improving Learning in Mathematics materials may recognise the applets for building houses; these are described in SS6 – Representing 3D shapes which has suggested lesson activities and describes the applets (see pages 4 and 5).

Building Houses allows you to create buildings and see the plan, front and side elevations as you build.
You can add (build) or remove (break down) bricks and control the size of the square base.

Building houses with side views challenges students to construct 3D models given the plans and elevations; the task is made more challenging by specifying that as few cubes as possible should be used.

Note that in order to achieve the minimum number of cubes, ‘floating’ cubes are needed.

Note that these resources have been added to the ‘explore‘ series of pages on the companion blog for students.

Readers interested in the Improving Learning in Mathematics materials further may find IWB Resources  useful as it has a flipchart and notebook file for each of the activities. This site is a result of the NCETM research project: Enabling enhanced mathematics teaching with some interactive whiteboards (September 2006- September 2008) and is supported by the IWB research team at Keele University and the www.iwbmaths.co.uk team. See also the link on the reading page to Malcolm Swan’s Improving Learning in Mathematics – Challenges and Strategies.

Numbers in love with themsleves!

Watch the video from Numberphile to learn why 153 is in love with itself!

Numberphile launched their first video appropriately on 11th November 2011.

The Numberphile site which has a series of videos from Brady Haran has been added to the Videos collection in this Evernote notebook.

Another recent addition to this collection is PatrickJMT’s – Just Maths Tutorials – an extensive collection for students.

Note that there are suggested collections of videos to direct students to on the videos page of Mathematics For Students.

See also this related post on Mathematics Videos.

Happy 2012!

Happy 2012! The above image is from Jesse Vig’s geoGreeting site where you can enter a message and obtain a link which you could send in an email. It is also possible to send as an E-card. Jesse Vig noticed whilst working on a Google Maps project that a number of buildings looked like letters of the alphabet when viewed from above. and his website was born!
A rather novel way to obtain images of numbers!

So to complete the new year greeting we need of course some number properties of 2012.
We can turn to the Mathematical Association’s number a day blog. (Click on the image for the full post).

Or we could use Tanya Khovanova’s site: Number Gossip where we learn that 2012 is evil!

WolframAlpha can of course supply some number properties of 2012 or provide a calendar for the year …or even send us best wishes for the new year! Wishing everyone a great 2012!

Forgotten Posts of 2011

All over the blogosphere bloggers are posting about their top posts of the year – myself included!

So I thought I’d take a look at my WordPress statistics for 2011 and see which posts are nearer the bottom of the list in terms of page views!
I present some posts I think worthy of attention; I have updated some for clarity.

Thinkfinity – including a great resource for introducing probability.

Storybird – write stories about Mathematics? Why not?!

Words with WolframAlpha - WolframAlpha is so good at Mathematics – did you know it’s good with vocabulary as well?

Triptico – some great resources for the interactive whiteboard

Mudd Math Fun Facts - a searchable collection of Mathematics fun facts from Harvey Mudd College Math Department

Videosthe list of sources of  videos has been added to since this post was first written

To complete the collection – some posts of a lighter nature – check the counting chimp watch a bubble sort – danced, or listen to some songs!

Infographics for Mathematics

An infographic is a graphic visual representations of information, data or knowledge designed to present complex information clearly.

There are many excellent examples available on the web such as the one below on just how hard Santa has to work, which not only convey information clearly but also in a very attractive manner. Something our students would perhaps enjoy creating.

For further resources see this collection which includes a series from the New York Times on teaching using infographics and resources on their creation (and note Scoop.it! an excellent and easy way to share information, for a further example see this on solving equations).

Click on the graphic below to see just how hard Santa works! (Published: December 2010 by Advertising Agency: Benedict & Helfer, Hungary.)

Christmas is coming!

We are near the end of term and teachers turn their thoughts to fun but educational activities they can use with their classes.

The always wonderful Nrich have several Christmas problems and advent calendars for both primary and secondary school students.

For another advent calendar see the Plus Magazine (always an excellent read) 2011 advent calendar.

Mark McCourt has an excellent selection on emaths.

From The Franklin Institute comes this collection of Christmas problems.

Teaching Expertise are offering free downloads of Christmas Activities for younger students.

Why not take a look at this class clip from BBC Learning Zone and think about how much paper is needed to wrap a present?

We could do the annual calculation and work out how many gifts are received over the 12 days of Christmas. Murray Bourne has all the answers and more on squareCircleZ or have a look at this YouTube video.

WolframAlpha will of course help you count the days and even wish you a Merry Christmas!

…..and thank you WordPress.com  for the snow!

MathsFlash & Starters

MathsFlash a website by a London Maths teacher offers a collection of short activities linking Mathematics to current issues and real world problems, activities are added daily. These could be displayed on the interactive whiteboard and would make excellent lesson starters as well as activities for the teaching of various topics. For example your students could try a ratio problem on mobile phone sales or calculate some percentages using X factor viewing figures,

It is possible to search by category, activity type, topic and difficulty level.

This site has been added to the Mathematics Starters collection.

Circle Theorems

A collection of excellent free resources for demonstrating the various circle theorems:
Tim Devereux has created GeoGebra applets which allow exploration of the circle theorems. You can access each theorem from the menu on the left which includes a useful summary of all the theorems.

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Top Posts and Pages

A new page on this blog is on Top Posts and Pages which I can see from the WordPress statistics has been a popular page itself this week.

Top Posts and Pages details the most popular posts and pages in the last seven days and also for all time (since starting this blog in January 2009).

Top 10 – last 7 days
World Maths Day 2012
Top >10 Mathematics Websites
Top 100 Tools for Learning 2011
Four Nations Maths Challenge
Manga High
For Students….
Bloomin’ Mathematics
Useful Links
Rich Tasks
Top Posts
Top 10 – All time
World Maths Day 2012
Online whiteboards
Useful Links
For Students….
WisWeb Applets
Sumdog – practice with those directed numbers….
Top >10 Mathematics Websites
Manga High
Bloomin’ Mathematics
Wordle – create word clouds

It is interesting that some recent posts such as Top>10 Mathematics Websites have made it very quickly into the top posts and pages for all time.

Top Posts and Pages will be updated regularly.