Properties and Applications of Wrong Answers in Online Educational - - PowerPoint PPT Presentation

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Properties and Applications of Wrong Answers in Online Educational - - PowerPoint PPT Presentation

Properties and Applications of Wrong Answers in Online Educational Systems Radek Pel anek, Ji r Rih ak Masaryk University Brno Wrong answer Wrong answer Learner input to wrongly answered question Radek Pel anek,


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Properties and Applications of Wrong Answers in Online Educational Systems

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak

Masaryk University Brno

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Wrong answer

Wrong answer Learner input to wrongly answered question

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Wrong answers

Feedback for teachers

common mistakes of a class

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Wrong answers

Detecting level of knowledge 5 × 5 = 30 5 × 5 = 24 5 × 5 = 17

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Wrong answers

Question construction

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Wrong answers

Problem in user interface

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Wrong answers

. . . and much more

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Systems

matmat.cz basic arithmetic elementary school

  • utlinemaps.org

geography high school practiceanatomy.com human anatomy university

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Systems

simple tasks adaptivity - selection of questions > 200 000 answers

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Wrong Answers - Geography

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Common Wrong Answers Countries common border, similar size, same first latter importance of practice context - Madagascar

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Common Wrong Answers - Geography

...

Romania Norway Sweden

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Confusion Graph

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Item Clustering

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Cross-system Comparison

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Categories of Wrong Answers TopWA - most common wrong answer CWA - other common wrong answers - > 5% Other Missing - question skipped by learner

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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System comparison

Basic Arithmetic Geography Human Anatomy

frequency T

  • pWA

CWA Other Missing

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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System comparison - Response time

T

  • pWA

CWA Other Missing Correct

Basic Arithmetic Geography Human Anatomy

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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System comparison - Probability of Leaving

T

  • pWA

CWA Other Missing Correct

Basic Arithmetic Geography Human Anatomy

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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System comparison - Future Success

future success

T

  • pWA

CWA Other Missing Correct

Basic Arithmetic Geography Human Anatomy

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Categories of Wrong Answers TopWA, CWA, Other, Missing equally distributed linear behaviour similar behaviour in different domains good measure of wrongness - interval variable

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers

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Wrong Answers

Wrong answers

are easy to collect has many applications: question and hint construction, feedback and inspiration, . . . Contributions item clustering measure of wrongness

Radek Pel´ anek, Jiˇ r´ ı ˇ Rih´ ak Wrong Answers