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Designing Courseware on Algorithms for Active Learning with Virtual Board Games Nils Faltin Department of Computer Science University of Oldenburg [email protected]
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Designing Courseware on Algorithms for Active Learning with Virtual Board Games

Nils Faltin

Department of Computer Science

University of Oldenburg

[email protected]

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Contents

• Didactical Goals in learning an algorithm• Textbook vs. courseware, role of exercises• Design method SALA

– Structuring into sections– Treatment of functions– Virtual board game

• Material prototype tests• Example courseware products

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Goals in Learning an Algorithm

algorithm operationsdata-linking

data-properties

steps-which

steps-why

modify analyze code

compare

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From textbook to courseware

?

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Structuring Algorithm Courseware into Sections

Why split into sections?

Typical sections:• Problem• Comparison of Algorithms• Link structure and ordering properties• Functions of the Algorithm• Implementation

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Structuring the Heapsort Courseware

• Sorting problem• Heapsort vs. other sorting

algoritms

• Complete binary tree

• Heap property

• Each Function

• Storing the heap and the result list

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Heapsort Functions

heapify-locally

heapsort

move-maxheapify

*

build-heap

*

sort

*

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Learning an Algorithm Function

1 Problem statement– purpose of new function– available functions– sketch code of new function?

2 Problem solving exercise– sequence of applying av. functions to data example– experiment: virtual board game

3 Standard solution– explain the function code – student practices the steps (virtual board game)

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Virtual board game

• Visual display of data structure• Functions by direct manipulation• Room for errors• Visual and textual feedback• Name: „virtual board game“

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Using the heapify function

pre-condition: child trees heap ordered

post-condition

heapify

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Virtual board game for build-heap

heapify

heapify-locally

swap

Done

Wrong! child trees must be heap

Redundant!

OK! Heapified

OK! Heapified

OK! Heapified

OK! Heapified

You succeeded!

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Material Game Prototypes

• Test vbg-idea, learning process• Card board and flanell prototype• Informal tests

– aid in explaining– students liked it– alternative solutions– linked tree?

• Prototype test good for courseware design

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Courseware: Binomial heap

• Courseware we developped– Master thesis– Web based

• Binomial heap courseware– developed after SALA– formally evaluated– demo: union function

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Union function

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Courseware: ESPRESSO logic minimizer

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Courseware: LALR parser generator

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Conclusion and future work

• Method SALA (PhD thesis)• Courseware for active learning

– www-cg-hci.informatik.uni-oldenburg.de

• Positive feedback from authors and users• Qualitative and quantitative evaluation• Potential of courseware for active learning


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