1 / 42

LIPSTICK

LIPSTICK. Creation and Analysis of a Problem Space Based on No-Feedback Exercises. Michael Bellem. Overview. Motivation / Goals Problem Solution / LIPSTICK Evaluation LIPSTICK Demo Discussion. Overview. Motivation / Goals Problem Solution / LIPSTICK Evaluation LIPSTICK Demo

camila
Download Presentation

LIPSTICK

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. LIPSTICK Creation and Analysis of a Problem Space Based on No-Feedback Exercises Michael Bellem

  2. Overview • Motivation / Goals • Problem • Solution / LIPSTICK • Evaluation • LIPSTICK Demo • Discussion

  3. Overview • Motivation / Goals • Problem • Solution / LIPSTICK • Evaluation • LIPSTICK Demo • Discussion

  4. Motivation / Goals • Analyze students’ problem solving behavior • Level of detail: exercise micro structure • Visualize it! • High-level overview + details • Use ActiveMath’s OpenMath-, metadata • Simplify complex problem spaces using contexts

  5. Overview • Motivation / Goals • Problem • Solution / LIPSTICK • Evaluation • LIPSTICK Demo • Discussion

  6. Problem • Extract information from user logs • Build individual problem spaces • Merge problem spaces • Display problem space • Collapse problem space

  7. Problem

  8. Overview • Motivation / Goals • Problem • Solution / LIPSTICK • Behavior Graphs • Workflow • Node / Edge Merging • Graph Collapsing • Contexts • Evaluation • LIPSTICK Demo • Discussion

  9. Solution / LIPSTICK • Log based • Interactive • Problem Space • Tool Incorporating a • Context Kit

  10. Solution / LIPSTICK • Behavior Graphs Start 2 1 1+3 3+1 1 1 1 5 4 2 1 Finish

  11. Solution / LIPSTICK • Node attributes: • ID • plainFormula • OMFormula • userID • exerciseID • mergeTarget • representedNodes

  12. Solution / LIPSTICK • Edge attributes: • ID • userID • exerciseID • traversalCount • accumulatedTraversalCount • mergeTarget • representedEdges

  13. Solution / LIPSTICK • Workflow: • Chose log files to import • Exercise IDs extracted, displayed • Select Exercise ID • Logs filtered and converted to GraphML (via XSL) • GraphML files loaded using prefuse • Subgraphs merged • Interactive graph + statistics displayed • Select context • Collapse graph by merging equivalent nodes

  14. Solution / LIPSTICK GraphML + XSL +prefuse prefuse, custom Collapsing, contexts Merging XML logs XML logs prefuse graphs merged prefuse graph prefuse, custom

  15. Solution / LIPSTICK • Node / Edge Merging: • Node formulas equivalent  merge • Requires redirecting / merging edges • Want to keep “merge victims”

  16. Solution / LIPSTICK Start 1 1 1 1+3 1+3 3+1 1 1 1 5 4 4 1 1 1 Finish

  17. Solution / LIPSTICK Start 1 1 1 1+3 1+3 3+1 1 1 1 5 4 4 1 1 1 Finish

  18. Solution / LIPSTICK Start 1 1 1 1+3 1+3 3+1 1 1 1 5 4 4 1 1 1 Finish

  19. Solution / LIPSTICK Start 1 1 1 1+3 1+3 3+1 1 1 1 5 4 4 1 1 1 Finish

  20. Solution / LIPSTICK Start 1 1 1 1+3 1+3 3+1 1 1 1 1 5 4 4 1 1 1 Finish

  21. Solution / LIPSTICK Start 1 1 1 1+3 1+3 3+1 1 1 1 1 1 5 4 4 1 2 1 Finish

  22. Solution / LIPSTICK • Graph Collapsing: • Merge all “equivalent” nodes • Equivalency relation determined by user, e.g. CAS

  23. Solution / LIPSTICK Start 3 1+3 2 1 5 2 1 Finish

  24. Solution / LIPSTICK • Contexts: • Rule: checks equivalence • Context: set of rules, applied recursively • Programmers can create new rules • Users can define new contexts Basic Context Associativity Commutativity Distributivity

  25. Overview • Motivation / Goals • Problem • Solution / LIPSTICK • Evaluation • Basis: No-Feedback Exercises • Graph Collapsing: Quantitative / Qualitative • Runtimes • Improvements • LIPSTICK Demo • Discussion

  26. Evaluation • No-Feedback Exercises: • Winter term 2005 • 10 students of basic seminar • 7 Exercises • No assistance from ActiveMath • Input several steps • Click finish, when you want

  27. Evaluation

  28. Evaluation

  29. Evaluation • Quantitative: Syntactical equivalence

  30. Evaluation • Associativity

  31. Evaluation • Commutativity

  32. Evaluation • YACAS

  33. Evaluation • Qualitative: • Contexts should enable teachers / tutors to find good representations / simplifications

  34. Evaluation

  35. Evaluation

  36. Evaluation • Runtimes: • Graph loading / saving fast • Importing logs slower:

  37. Evaluation • Improvements: • Performance optimization • More stable CAS (or better usage?) • More equivalency rules • Different system of contexts? • Better formula renderer (or better usage?) • Exercise generation • Manual editing of the behavior graph • Port to Linux • Real-world evaluation

  38. Overview • Motivation / Goals • Problem • Solution / LIPSTICK • Evaluation • LIPSTICK Demo • Discussion

  39. Overview • Motivation / Goals • Problem • Solution / LIPSTICK • Evaluation • LIPSTICK Demo • Discussion

  40. Discussion • Questions? • Remarks?  Thank You

  41. Additional Topics • Related Work – Behavior Recorder: • Carnegie Mellon University • Displays behavior graphs • Live behavior recording from Cognitive Tutors • Exercise generation • Nice UI and graph layout • No complex formulas from Open Math • Hard to import ActiveMath logs

More Related