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APP155 Hardware expansion and software applications for the ...

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given throughout <strong>and</strong> solutions to <strong>the</strong><br />

problems are checked after <strong>the</strong> students<br />

have attempted <strong>the</strong>m.<br />

A suitable versionis required if this<br />

product is to be installed from a hard<br />

disc or from Econet.<br />

A site licence is required.<br />

For Archimedes 305 <strong>and</strong> above<br />

Maths Translations<br />

AVP Computing<br />

COM 8<br />

£24.50<br />

This program deals with <strong>the</strong> translation<br />

of triangles <strong>and</strong> quadrilaterals on a<br />

progressive scale. There is a facility <strong>for</strong><br />

varying <strong>the</strong> speed of progress. It<br />

explains how to move triangles <strong>and</strong><br />

quadrilaterals on a grid. Matrix<br />

calculations are explained. At <strong>the</strong> end<br />

of each section <strong>the</strong>re are tests with a<br />

revision if scores are not adequate. The<br />

progressive nature of <strong>the</strong> program<br />

makes it ideal <strong>for</strong> individual teaching<br />

<strong>and</strong> revision, as well as <strong>for</strong> pupil use.<br />

A suitable version is required when<br />

it is to be installed on <strong>and</strong> executed<br />

from a hard disc, or from Econet.<br />

A site licence is required.<br />

For Archimedes 305 <strong>and</strong> above<br />

Angles <strong>and</strong> Trigonometry<br />

AVP Computing<br />

COM 39<br />

£24.50<br />

These programs are suitable <strong>for</strong> use by<br />

teachers or students of ma<strong>the</strong>matics or<br />

physics.<br />

Each of <strong>the</strong> programs presents<br />

important principles <strong>and</strong> facts<br />

concerning trigonometry. The<br />

relationships between angles <strong>and</strong> <strong>the</strong>ir<br />

trigonometrical functions can be<br />

difficult to grasp by reading <strong>and</strong> <strong>the</strong><br />

study of static diagrams. These<br />

programs present <strong>the</strong> facts through <strong>the</strong><br />

use of moving diagrams <strong>and</strong> graphs.<br />

The intention is to aid <strong>the</strong> student to<br />

underst<strong>and</strong> <strong>the</strong> important concepts<br />

involved in each case.<br />

The programs provide <strong>the</strong> teacher<br />

with an 'animated blackboard' as a very<br />

clear way of introducing or illustrating<br />

<strong>the</strong> topic. For example, graphs are<br />

quickly produced which are of <strong>the</strong><br />

correct shape <strong>and</strong> have more impact<br />

than freeh<strong>and</strong> drawings. The programs<br />

are a means of displaying changing<br />

quantities in a convenient <strong>and</strong> clear<br />

way <strong>and</strong> <strong>the</strong> fact that <strong>the</strong> model<br />

responds to <strong>the</strong> learner's input, allow<br />

him to test his own underst<strong>and</strong>ing <strong>and</strong><br />

makes it an efficient learning aid. The<br />

programs are also suitable as a revision<br />

aid to <strong>the</strong> topics.<br />

A suitable version is required if this<br />

is to be installed on <strong>and</strong> executed from<br />

a hard disc, or from Econet.<br />

A site licence is required.<br />

For Archimedes 305 <strong>and</strong> above<br />

EDUCATION CURRICULUM AREAS<br />

Trans<strong>for</strong>mations<br />

AVP Computing<br />

COM 136<br />

£24.50<br />

This is a package which investigates<br />

combinations of <strong>the</strong> simple<br />

trans<strong>for</strong>mations, rotation,<br />

enlargement, reflection, translation<br />

<strong>and</strong> shear with an animated display of<br />

up to five successive trans<strong>for</strong>mations,<br />

which may be replayed as often as you<br />

wish. The object to be trans<strong>for</strong>med<br />

may be a st<strong>and</strong>ard triangle or a simple<br />

figure that you input yourself, on <strong>the</strong><br />

same disc, graph allows up to three<br />

graphs to be drawn in different colours<br />

using <strong>the</strong> input of functions in<br />

algebraic <strong>for</strong>m ra<strong>the</strong>r than in computer<br />

<strong>for</strong>m <strong>and</strong> a variety of trig functions<br />

using single-key entry.<br />

A suitable version is required if this<br />

is to be installed on <strong>and</strong> executed from<br />

a hard disc, or from Econet.<br />

A site licence is required.<br />

For Archimedes 305 <strong>and</strong> above<br />

A -level Maths with Statistics<br />

AVP Computing<br />

COM 137<br />

£24.50<br />

A package of programs designed <strong>for</strong><br />

students working towards <strong>the</strong><br />

combined A-level in most syllabuses.<br />

Graph allows up to three graphs to<br />

be displayed at any one time. Input is<br />

in algebraic <strong>for</strong>m, with single-key entry<br />

<strong>for</strong> a variety of functions. Angles can<br />

be in degrees or radians, <strong>and</strong><br />

combinations of previous graphs can be<br />

simple entered. Dy/dx builds up<br />

families of solutions of differential<br />

equations of <strong>the</strong> <strong>for</strong>m dy/dx f (x.y)<br />

with <strong>the</strong> user specifying a starting point<br />

<strong>and</strong> an incremental step along <strong>the</strong><br />

tangent.<br />

Samples introduces <strong>the</strong> student to<br />

r<strong>and</strong>om sampling <strong>and</strong> <strong>the</strong> Central<br />

Limit Theorem <strong>for</strong> means <strong>and</strong><br />

proportions from a population of<br />

names. Ei<strong>the</strong>r <strong>the</strong> sample or histogram<br />

is displayed.<br />

Binomial demonstrates <strong>the</strong><br />

relationship between <strong>the</strong> Binomial,<br />

Normal <strong>and</strong> Poisson distributions.<br />

Scatter allows entry of a scatter<br />

diagram, <strong>and</strong> takes <strong>the</strong> student through<br />

<strong>the</strong> steps of drawing two regression<br />

lines using ideas related to Kendall's<br />

rank correlation coefficient.<br />

A special version is required when it<br />

is to be installed on <strong>and</strong> executed from<br />

a hard disc, or from Econet.<br />

A site licence is required.<br />

For Archimedes 305 <strong>and</strong> above<br />

A-Level Matrices<br />

AVP Computing<br />

COM 141<br />

£24.50<br />

This disc covers <strong>the</strong> principal matrix<br />

topics needed <strong>for</strong> A-level, especially<br />

planes <strong>and</strong> <strong>the</strong> solution of 3 x 3<br />

equations, matric inversion <strong>and</strong><br />

determinants.<br />

The first program gives practical<br />

examples of sketching planes <strong>and</strong> <strong>the</strong><br />

next illustrates <strong>the</strong> intersection of three<br />

planes <strong>and</strong> <strong>the</strong>ir various possible<br />

configurations. This ends with a test.<br />

Ano<strong>the</strong>r program shows graphically<br />

<strong>the</strong> principal trans<strong>for</strong>mations of <strong>the</strong><br />

unit cube, especially squashing<br />

trans<strong>for</strong>mations. Row operations are<br />

considered in detail <strong>and</strong> users are <strong>the</strong>n<br />

invited to solve equations <strong>and</strong> invert<br />

matrices by entering matrix elements<br />

on <strong>the</strong> screen.<br />

Help is given when needed.<br />

The programs are written <strong>for</strong> Alevel<br />

c<strong>and</strong>idates ei<strong>the</strong>r with one<br />

computer in classroom or with access to<br />

a network.<br />

A suitable version is required also<br />

when it is to be installed on <strong>and</strong><br />

executed from Econet.<br />

A site licence is required.<br />

For Archimedes 305 <strong>and</strong> above<br />

The Puzzle Palace<br />

AVP Computing<br />

COM 194<br />

£24.50<br />

Trapped in <strong>the</strong> Puzzle Palace on a cold<br />

<strong>and</strong> windy night, you make a desperate<br />

bid to escape through <strong>the</strong> creaking old<br />

door. However, this adventure is not<br />

<strong>for</strong> <strong>the</strong> rash or impulsive thinker. It<br />

dem<strong>and</strong>s all <strong>the</strong> pupils' problemsolving<br />

strategies in order to make <strong>the</strong>ir<br />

escape.<br />

Throughout <strong>the</strong> adventure, many<br />

varied ma<strong>the</strong>matical activites are<br />

encountered, <strong>the</strong>ir solutions necessary<br />

to collect objects essential to complete<br />

<strong>the</strong> journey.<br />

Decision-making, record-keeping,<br />

logic <strong>and</strong> map-making skills are fully<br />

encouraged. This program is designed<br />

to be used by small groups of<br />

adventurers, <strong>and</strong> to encourage rich<br />

ma<strong>the</strong>matical discussion. It captures<br />

<strong>the</strong> pupils' interest by its colourful<br />

presentation <strong>and</strong> challenging<br />

situations, is ma<strong>the</strong>matically<br />

dem<strong>and</strong>ing, but compulsive <strong>and</strong> fun.<br />

Suitable <strong>for</strong> 9 to 13 year olds.<br />

A suitable version is required if this<br />

is to be installed on <strong>and</strong> executed from<br />

a hard disc, or from Econet.<br />

For Archimedes 305 <strong>and</strong> above

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