# Software and Supporting MEI Resources

There are many programs and web resources that can be used in the teaching and learning of mathematics; many of these are free to download. MEI has produced resources to support the use of several of these software programs in the classroom. Links to free MEI resources will appear in the software sections below:

## Autograph

Autograph is an essential tool for the Mathematics classroom allowing for statistical, 2D and 3D graphs to be plotted easily.

Please follow the links below to access MEI resources supporting the use of Autograph:

Use of the constant controller in Autograph

Useful Autograph tools for Interactive Whiteboards

C4 Vectors with Autograph

Advanced Vector Geometry in Autograph

Transformations in Autograph

Teaching and learning resources for using Autograph at A level

## Desmos

Desmos is is a free graphing calculator that is available online or as an Android/iOS app. There are also lots of free teaching activities and materials on their website: www.desmos.com/

## Excel

Spreadsheets are a very useful tool in the Mathematics classroom and can be used for many types of investigations.

Students are likely to benefit greatly from learning how to enter formulae into spreadsheets. This can help them remember important formulae and the technique will obviously be useful to them in other areas. In addition to this they will have to learn the specific syntax of the package they are using; this will allow the importance of conventions for syntax to be emphasised. A good example is to have students set up a spreadsheet that solves the quadratic equation ax2 + bx + c = 0, when the values of a, b and c are entered in separate cells. For more details see NCETM Mathemapedia: Spreadsheet Algebra

The 'Forms' toolbar on Excel allows for scroll-bars/sliders to be added to worksheets. These are excellent for displaying the effect of varying parameters in a situation. They work well with IWBs as they can be operated from the board, removing the need for key-entry.

Please follow the links below to access MEI resources supporting the use of Excel:

For guidance on using Excel, including tutorials with screen-shots see: www.excel-easy.com

## GeoGebra

Geogebra is free mathematics software featuring interactive graphics, geometry, algebra and spreadsheet. Hundreds of thousands of prepared materials are available on the site.

MEI is a GeoGebra Institute supporting teachers through workshops, professional development materials and creation of resources: GeoGebra Institute of MEI.

Geogebra can be used to create dynamic demonstrations for mechanics. Demonstrations for every question on the January 2007 Mechanics 1 paper have been produced and are available to be downloaded. Using Geogebra in this way highlights how mechanics is an application of both geometry and algebra.

Please follow the links below to access MEI resources supporting the use of Geogebra:

Teaching and learning resources for using Geogebra at A level

Use of ICT in AS Core

Use of ICT in A2 Core

GeoGebra for Beginners

GeoGebra in Mechanics

## TI-Nspire™

TI-Nspire is a suite of learning tools, available as a handheld device and as computer software.  Both the handheld and software have Calculator, Graphs, Geometry, Lists & Spreadsheets, Data & Statistics and an interactive Notes applications.  The handheld includes a Touchpad, which operates just like a computer mousepad, to aid navigation and manipulation of objects. A CAS (Computer Algebra System) version of TI-Nspire is also available

TI-Nspire Teacher software features a handheld emulator and a Question application to provide flexibility in lesson planning and delivery.  A free 90-day trial version of the Teacher software is available.  Resources, including lesson ready TI-Nspire documents, are available free at Nspiring Learning.

The applications of TI-Nspire can be dynamically linked to show multiple representations of the same problem and to allow learners to see how changes to one representation affect another.  For example, it is possible to “Grab-and-move” a graph and watch as the equation of the graph changes, while changes to measurements are automatically recorded in a spreadsheet.  With the document structure work can be saved, reviewed and distributed using TI Connect-to-Class software and the TI-Nspire Navigator wireless system.

Texas Instruments offers free professional development provided by T3 (Teachers Teaching with Technology™) .

Teaching and learning resources for using TI-Nspire at A level

Exploring and solving problems in 6th form mathematics using special features of the TI-nspire graphic calculator

## LINDO

LINDO (Linear, INteractive, and Discrete Optimizer) is a Linear Programming package which is needed for the computer-based module Decision & Discrete Computation. It is also suitable for use in teaching the other modules in this strand. LINDO can be ordered from MEI using the LINDO order form; you can also read the LINDO manual.

## Tarsia (Jigsaw Software)

Formulator Tarsia (previously known as Jigsaw 2005 or Activity Template Software) allows you to create mathematical jigsaws, dominoes and other card-sort activities in an easily printable form. It is free to download from Hermitech Laboratory.

## Mechanics Online

Mechanics online is mechanics software that allows dynamic models to be built and animated. The models are interactive - parameters can be varied and data plotted/exported.

## Maxima (free CAS software)

Maxima is a full-featured CAS that specializes in symbolic operations but it also offers numerical capabilities such as arbitrary-precision arithmetic: integers and rational numbers which can grow to sizes limited only by machine memory, and floating point numbers whose precision can be set arbitrarily large ("bfloats").

## Other Geometry software (Geometer's Sketchpad, Cabri II Plus and Cabri 3D)

Cabri Geometry II Plus lets you dynamically explore Euclidean, transformational and coordinate geometry. You can construct any geometrical object, including vectors and conics (inc. ellipses and hyperbolas) and see equations of lines, circles, ellipses, loci, and coordinates of points. See:

Cabri 3D v2 lets you construct, manipulate and explore solid and space geometry in 3 dimensions.

Geometer's Sketchpad is dynamic geometry software offering exploration of wide range of mathematics, featuring enhanced support for algebra and calculus as well as geometry.

## MEI Flash resources

“Graphs” features a variety of movable graphs covering most curves needed for C1 and C2. The graphs can be moved on axes that are displayed without scales. Pens are provided to annotate the graphs. It is designed to be used with a PC, projector and whiteboard (interactive or traditional).

Graphs (html)

Graphs (swf) - requires Flash player

Graphs (exe) - does not require Flash player