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CAA for adult numeracy
and algorithms
Martyn Thomas (Maths) &
and Jan Hanson (Computing)
Brunel University
Sigma project
• To develop questions on
proportionality within adult settings
e.g. employability aptitude tests,
money, pay, tax, reading charts and
graphs.
• Mostly straightforward numerical
input questions with randoms and full
feedback
• Very boring(!) but there is a huge
need, especially for maths phobic
Reading a
cumulative
table
Randoms in
numbers in
table and in
statement
wordings
here
From an actual aptitude test but original was wrong – that
author never played tennis!
Games/Sets/Matches
are partially
randomised
consistent with the
rules of tennis –
quite complicated to
code in fact!
Surface effects
- towns,
- given names (ethnic balance
- gender (balanced M/F)
- game/sets/match randomised
Accessibility
font sizes &
colours under
user’s control
Feedback has dire warnings
about borrowing on credit cards!
Reading a table
and synthesising
information
Lots of randoms here including stated grade and dynamic
diagrams via SVG
And now for something
more interesting (Brunel-
funded matching projects)!
1) Developing the maths
e.g. database
• Removing applet call so it will work on
mobile devices (phones and tablets)
• Extending the content
• Devising a protocol for question
inclusion/modification.
• Migrating to Local Server.
• Bug testing and reporting
• To be launched on an unsuspecting World
soon
maths e.g. is available for students at:
http://www.mathcentre.ac.uk:8081/mathseg/
and the teacher interface:
http://www.mathcentre.ac.uk:8081/mathsegteacher/
allows you to create your own tests (for free!)
2) Testing Algorithms
• Level 2 maths and computing
students (also engineers and MSc
level)
• Asymptotic order & operations
count
• Basic, clustering, fitness, heuristic,
packing, searching, sorting, TSP
algorithms
• Pseudocode
• Note: this is not about programming as such –
other questions test different languages (VB
Randomly-chosen algorithm
Options to select from
Detailed explanation
More feedback adds counts and operations count for given n or
as ORDER asked for here
Communication with marking scheme is difficult for free-form
Input, so here students are asked to order some pseudocode
(not all of which is needed).
Randomly chosen common algorithm with words that can
apply to all Tests students ability to distinguish between
various algorithms.
To be launched on an
unsuspecting students soon
and evaluated … watch this
space!

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CAA for adult numeracy and algorithms

  • 1. CAA for adult numeracy and algorithms Martyn Thomas (Maths) & and Jan Hanson (Computing) Brunel University
  • 2. Sigma project • To develop questions on proportionality within adult settings e.g. employability aptitude tests, money, pay, tax, reading charts and graphs. • Mostly straightforward numerical input questions with randoms and full feedback • Very boring(!) but there is a huge need, especially for maths phobic
  • 3. Reading a cumulative table Randoms in numbers in table and in statement wordings here
  • 4. From an actual aptitude test but original was wrong – that author never played tennis! Games/Sets/Matches are partially randomised consistent with the rules of tennis – quite complicated to code in fact! Surface effects - towns, - given names (ethnic balance - gender (balanced M/F) - game/sets/match randomised Accessibility font sizes & colours under user’s control
  • 5. Feedback has dire warnings about borrowing on credit cards! Reading a table and synthesising information
  • 6. Lots of randoms here including stated grade and dynamic diagrams via SVG
  • 7. And now for something more interesting (Brunel- funded matching projects)!
  • 8. 1) Developing the maths e.g. database • Removing applet call so it will work on mobile devices (phones and tablets) • Extending the content • Devising a protocol for question inclusion/modification. • Migrating to Local Server. • Bug testing and reporting • To be launched on an unsuspecting World soon maths e.g. is available for students at: http://www.mathcentre.ac.uk:8081/mathseg/ and the teacher interface: http://www.mathcentre.ac.uk:8081/mathsegteacher/ allows you to create your own tests (for free!)
  • 9. 2) Testing Algorithms • Level 2 maths and computing students (also engineers and MSc level) • Asymptotic order & operations count • Basic, clustering, fitness, heuristic, packing, searching, sorting, TSP algorithms • Pseudocode • Note: this is not about programming as such – other questions test different languages (VB
  • 10. Randomly-chosen algorithm Options to select from Detailed explanation More feedback adds counts and operations count for given n or as ORDER asked for here
  • 11. Communication with marking scheme is difficult for free-form Input, so here students are asked to order some pseudocode (not all of which is needed).
  • 12. Randomly chosen common algorithm with words that can apply to all Tests students ability to distinguish between various algorithms.
  • 13. To be launched on an unsuspecting students soon and evaluated … watch this space!