e-learningSome examples of new ICT tools in action

- Alan Coop, July 2011

Use of snap tool in OneNote to cut anything from anywhere (see above, cut from Powerpoint)

Use of Microsoft Mathematics to extend expressions we can write using Word, Powerpoint etc

Eg:, = or I =

Geogebra• Interactive geometry software

for education• Dynamic interface, allowing

mathematically defined objects to be easily modified

• Widely used in schools • Free to download• Have found it to be an excellent

teaching tool as well as handy for creating custom worksheets

Y11 Maths:

Simultaneous EquationsFinding the point of intersection of 2 lines both graphically and algebraically

Simple case

More complex case

Y11 Simultaneous equations small.ggb

Y11 Simultaneous equations.ggb

Y11 Maths:

Linear Graphing Quickly create worksheets.Students to establish equations of lines shown

Students to establish gradient of lines shown and relationship between a line and its normal

Y11 Linear Graph ex 1.ggb

Y11 Linear Graph ex 2.ggb

Y11 sine.ggb

Y11 Maths:

Demonstrate trigonometric function (sine)Show variation in period and amplitude for

Y13 Calculus:

Trigonometric functions and their inverses

Ride a line along a sine wave

cos(x), &

x – cos(x) and its derivativex – ln(x) and its derivative

Calculus 12 - Trig functions.ggb

Calculus 12 - Trig functions - cosx2.ggb

Calculus 12 - Trig functions x - cosx.ggb

Y13 Calculus:

Log functions and their derivatives

Exponential function & derivativeVarying the base above and below e

Calculus 09 - Log functions - graph.ggb

Calculus 08 - Exponential functions - graph.ggb

Y13 Calculus:

Functions and their derivativesChanges can be made to demonstrate impact on the derivative

Function not differentiable at all points

3rd degree polynomial, 1st and 2nd derivative showing significance of turning points and max/min points

Calculus 14 - Turning Points & Graphs - graph.ggb

Calculus 05 - Diff from 1st principles - Gradient functions ex2.ggb

Calculus 04 - Diff from 1st principles - Gradient functions ex.ggb

Summary• The combination of OneNote snap tool and dynamic

graphing software has allowed easy creation of more meaningful presentations.

• Being able to adjust the objects in response to student discussion enables faster, more solid student understanding of a range of mathematical concepts.

• Students can freely use the same tools in their own study a well.