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Putting the world to work for
            ITS:
 Open community authoring of
  targeted worked example
          problems
   Aleahmad, Aleven and Kraut



6/27/2008       ITS 2008
Current situation in tutoring
2
    systems
    •   Development is very laborious
        •   (e.g. estimates of 200-300 hrs for 1 hr instruction)
    •   Small groups with much effort per person

    •   Distribute the development
        •   Open source
        •   Open content


    •   How to make a “Wikipedia” for ITS?
Wikipedia not the right model
3
Towards a collaborative
4
    community
       • Volunteers                              • Others rate and
         submit new                                        critique
         material




                           Generate   Evaluate




                           Improve      Use


                                                 • Link resources
       • Others make the                              into tutoring
         contribution                                  systems or
         better                                  create new ones
Broad research questions
5


       If you make it, will they come?
       Can the wheat be separated from the chaff?
       How to structure and support authoring?
         For quality
         For diversity to engage students
          –   Contextualization, personalization, and provision of choices can
              improve student motivation and engagement in learning (Cordova
              and Lepper, 1996 )
          –   Personalization improves performance gains and even at start
              (Anand and Ross, 1987; Ku and Sullivan 2002; LĂłpez and Sullivan
              1992)
Overview of the study
6


       Web site where people contribute worked
        example problems
       In registering, indicated their professional
        status

       Tested a mechanism to increase quality and
        diversity
         Asked  some authors to target to a specific person
         Increase their effort?

         Increase diversity/adaptivity of corpus?
Task
7


    •   Artifact: Worked example problem
        –   Leads to better and more efficient learning when
            added to interactive tutoring (McLaren et al., 2006;
            Schwonke et al., 2007)
        –   Instruct and foster self-explanation (Renkl and
            Atkinson, 2002)
        –   Customizability – both to the student and the
            interaction

    •   Domain: Pythagorean Theorem
        –   Most difficult skill on the Massachusetts
            Comprehensive Assessment System curriculum
            standards (ASSISTment data)
Zack and Slater want to build a bike jump. They have
           two parts of the ramp constructed but they need to
Problem    know the length of the final piece of the jump. They
           have two parts of the ramp built, one is 3 ft long and
Stateme    the other is 4 ft long and they are constructed as
           shown in the diagram. What is the length of the
           missing section that Zack and Slater still need to
nt         construct?

    +           Work                Explanation
Solution                     The unknown is the hypotenus
                             which is represented by c in the
               3^2 + 4^2
steps                        equation. Therefore I input both a
                             and b into the equation first.
                             Following the equation I square
                             both of these numbers.


    =          9 + 16 =      These two numbers are added
               25            together first because of the

Whole                        parenthesis.

                             To complete the equation I take
worked         Square        the square root of 25 which is five.
                             This problem also demonstrates
               root of 25
example        is 5 and
               this is the
                             the common Pythagoras triangle.

               solution.


8
Authoring tool
9
Open authoring hypotheses
10


        H1: Identifying the good from the bad
         contributions is easy. We expect that all
         contributions are good, easily fixed, or easily
         filtered.

        H2: Math teachers submit the best
         contributions.
Student profiles
11


        Goal of realism
        Varied on social and cognitive attributes
        16 profiles
          4 Hobbies x 4 Homes
          4 realistic skill profiles distributed

          2 genders distributed
Profile hypotheses
12


     Profiles in experimental condition versus generic control
        condition




        H3: Student profiles lead to tailored
         contributions.
        H4: Student profiles increase the effort of
         authors.
        H5: Student profiles lead to higher quality
Participants and contributions
13


     •   Participation URL posted on web sites
         (educational and otherwise) offering $4-12
     •   1427 people registered, of which 570 used the
         tool to submit 1130 contributions
     •   After machine filtering, 281 participants were
         left having submitted 551 contributions
     Participation      Math teachers   Other teachers   Amateurs

     Registered             131              170           1126
     Contributed also        70              72            428
     Passed vetting          26              35            220
     also
Machine filtered
14




         Some have just a
         worthless drawing.

         Or nothing at all.
Quality ratings
15


     Human experts rated the machine vetted submissions

      Numerical      Rating
      value          category       Definition
                                    No use in teaching and it would be easier to
            0        Useless        write a new one than improve this one.
                                    Has some faults, but they are obvious and
            1        Easy fix       can be fixed easily, in under 5 minutes.
                                    Worthy of being given to a student who
                                    matches on the difficulty and subject matter.
            2        Worthy         Assume that the system knows what's in the
                                    problem and what is appropriate for each
                                    student, based on their skills and interests.
                                    Excellent example to provide to some
                                    student. Again, assume that the system
            3        Excellent      knows what's in the problem and what is
                                    appropriate for each student, based on their
Quality rating examples
16


        Excellent statement with poor solution (1124)

        Worthy statement with excellent solution (337)
17   Open authoring
Quality of pool
18
Quality by contributor expertise
19



     Statement quality                   Solution quality


      Teacher   Sign.   Mean      Std     Teacher Sign.    Mean      Std
       status   diffs   quality   Err      status  diffs   quality    Err
     Math       A        1.80     0.12   Math     A B       0.70     0.10
     teacher                             teacher
     Other          B    1.54     0.09   Other       B      0.53     0.08
     teacher                             teacher
     Not            B    1.48     0.09   Not         B      0.76     0.03
     teacher                             teacher
20   Student profiles
Tailoring to social attributes
21



                                                    With profiles
                                With                              With profiles
                                                         not                      F-test    F-test
      Attribute               GENERIC
                                                    mentioning
                                                                  mentioning
                                                                                  (G-M)     (N-M)
                                (G)                               attribute (M)
                                                    attribute (N)

     Female pronoun                 5%                    4%          16%          9.68*    12.82**

     Male pronoun                  19%                    14%         19%         0.004      1.19

     Sports word                    9%                    9%          24%         18.01**   11.89**

     TV word                        4%                    4%          10%          8.36*    2.63†

     Music word                     2%                    2%           9%          6.92*    8.93**

     Home word                     14%                    n/a         20%          3.60*      n/a

       Probabilities of authoring matching an attribute
       †p<.10 *p<.05 **p<.001
For profile with a home
     outside town




22
For profile who lives in tall
     apartment building




23
Tailoring to cognitive attributes
24



     Verbal skill in profile                                              General math skill in profile
     Verbal Sign                 Mean                    Std              Math Sign Probability Std Err
      skill   .                 reading                  Err               skill   . of using 3-
     shown diffs                level of                                 shown diffs     4-5
                              contribution                                            triangle
     High           A             3.78                   0.24            High    A       16%     0.05
     Medium A B                       3.56               0.32            Medium A B       26%       0.05
     Low                B             2.93               0.33            Low        B     27%       0.04
     GENERI             B             3.20               0.16            GENER A B        21%       0.03
     C                                                                   IC



      Correspondence of verbal and math skill levels with the authoring interface
Shakespeare for profile
     in “top of English class”




25
Effects of profiles
26



     On effort                  On quality

        Problem statements        No main effect of
         in profile condition       profiles on quality
         were 25% longer           No interaction with
        No significant             teacher status either
         difference in time
         spent (median 5
         each minutes on
         statement and
         solution)
27   Conclusions
Recap of Hypotheses
28

     Hypothesis                        Short        Long Answer
                                       Answer
     1    Quality control is easy      Yes          Filtering trivial; rating by experts
                                                    take less than a minute

     2    Math teachers contribute     Partly       Amateurs and non-math teachers
          the best worked examples                  wrote okay problem statements
                                                    and amateurs wrote better
                                                    solutions
     3    Profiles lead to tailoring   Yes          Every aspect of profiles was
                                                    tailored to

     4    Profiles increase effort     Inconclusiv A quarter longer problem
                                       e           statement, but no difference in
                                                   time
     5    Profiles lead to higher      No           No difference in machine filtering
          quality contributions                     or human rated quality
Current and future work
29


        • Volunteers                              • Others rate and
          submit new                                        critique
          material




                            Generate   Evaluate




                            Improve      Use


                                                  • Link resources
        • Others make the                              into tutoring
          contribution                                  systems or
          better                                  create new ones
Current and future work
30


        • Volunteers                              • Others rate and
          submit new                                        critique
          material




                            Generate   Evaluate




                            Improve      Use


                                                  • Link resources
        • Others make the                              into tutoring
          contribution                                  systems or
          better                                  create new ones
Current and future work
31


        • Volunteers                              • Others rate and
          submit new                                        critique
          material




                            Generate   Evaluate




                            Improve      Use


                                                  • Link resources
        • Others make the                              into tutoring
          contribution                                  systems or
          better                                  create new ones
Acknowledgements
32




        Thanks to ASSISTment project, Ken
         Koedinger and Sara Kiesler for data and
         feedback

        Work supported by IES and NSF

        It’s going to take a lot of connected work to
         build a scalable shared ITS for the world
          Let’s  talk more about how
          http://OpenEducationResearch.org
Gratis participants
33




        Still 93 submissions from 92 participants
        Of these 38 submissions from 21 participants
         pass machine vetting
        41% pass rate of machine vetting compared to
         49% rate in experiment
        Not significantly different by Fisher's Exact
         Test (p=0.16)

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Putting the world to work for ITS

  • 1. Putting the world to work for ITS: Open community authoring of targeted worked example problems Aleahmad, Aleven and Kraut 6/27/2008 ITS 2008
  • 2. Current situation in tutoring 2 systems • Development is very laborious • (e.g. estimates of 200-300 hrs for 1 hr instruction) • Small groups with much effort per person • Distribute the development • Open source • Open content • How to make a “Wikipedia” for ITS?
  • 3. Wikipedia not the right model 3
  • 4. Towards a collaborative 4 community • Volunteers • Others rate and submit new critique material Generate Evaluate Improve Use • Link resources • Others make the into tutoring contribution systems or better create new ones
  • 5. Broad research questions 5  If you make it, will they come?  Can the wheat be separated from the chaff?  How to structure and support authoring?  For quality  For diversity to engage students – Contextualization, personalization, and provision of choices can improve student motivation and engagement in learning (Cordova and Lepper, 1996 ) – Personalization improves performance gains and even at start (Anand and Ross, 1987; Ku and Sullivan 2002; LĂłpez and Sullivan 1992)
  • 6. Overview of the study 6  Web site where people contribute worked example problems  In registering, indicated their professional status  Tested a mechanism to increase quality and diversity  Asked some authors to target to a specific person  Increase their effort?  Increase diversity/adaptivity of corpus?
  • 7. Task 7 • Artifact: Worked example problem – Leads to better and more efficient learning when added to interactive tutoring (McLaren et al., 2006; Schwonke et al., 2007) – Instruct and foster self-explanation (Renkl and Atkinson, 2002) – Customizability – both to the student and the interaction • Domain: Pythagorean Theorem – Most difficult skill on the Massachusetts Comprehensive Assessment System curriculum standards (ASSISTment data)
  • 8. Zack and Slater want to build a bike jump. They have two parts of the ramp constructed but they need to Problem know the length of the final piece of the jump. They have two parts of the ramp built, one is 3 ft long and Stateme the other is 4 ft long and they are constructed as shown in the diagram. What is the length of the missing section that Zack and Slater still need to nt construct? + Work Explanation Solution The unknown is the hypotenus which is represented by c in the 3^2 + 4^2 steps equation. Therefore I input both a and b into the equation first. Following the equation I square both of these numbers. = 9 + 16 = These two numbers are added 25 together first because of the Whole parenthesis. To complete the equation I take worked Square the square root of 25 which is five. This problem also demonstrates root of 25 example is 5 and this is the the common Pythagoras triangle. solution. 8
  • 10. Open authoring hypotheses 10  H1: Identifying the good from the bad contributions is easy. We expect that all contributions are good, easily fixed, or easily filtered.  H2: Math teachers submit the best contributions.
  • 11. Student profiles 11  Goal of realism  Varied on social and cognitive attributes  16 profiles  4 Hobbies x 4 Homes  4 realistic skill profiles distributed  2 genders distributed
  • 12. Profile hypotheses 12 Profiles in experimental condition versus generic control condition  H3: Student profiles lead to tailored contributions.  H4: Student profiles increase the effort of authors.  H5: Student profiles lead to higher quality
  • 13. Participants and contributions 13 • Participation URL posted on web sites (educational and otherwise) offering $4-12 • 1427 people registered, of which 570 used the tool to submit 1130 contributions • After machine filtering, 281 participants were left having submitted 551 contributions Participation Math teachers Other teachers Amateurs Registered 131 170 1126 Contributed also 70 72 428 Passed vetting 26 35 220 also
  • 14. Machine filtered 14 Some have just a worthless drawing. Or nothing at all.
  • 15. Quality ratings 15 Human experts rated the machine vetted submissions Numerical Rating value category Definition No use in teaching and it would be easier to 0 Useless write a new one than improve this one. Has some faults, but they are obvious and 1 Easy fix can be fixed easily, in under 5 minutes. Worthy of being given to a student who matches on the difficulty and subject matter. 2 Worthy Assume that the system knows what's in the problem and what is appropriate for each student, based on their skills and interests. Excellent example to provide to some student. Again, assume that the system 3 Excellent knows what's in the problem and what is appropriate for each student, based on their
  • 16. Quality rating examples 16  Excellent statement with poor solution (1124)  Worthy statement with excellent solution (337)
  • 17. 17 Open authoring
  • 19. Quality by contributor expertise 19 Statement quality Solution quality Teacher Sign. Mean Std Teacher Sign. Mean Std status diffs quality Err status diffs quality Err Math A 1.80 0.12 Math A B 0.70 0.10 teacher teacher Other B 1.54 0.09 Other B 0.53 0.08 teacher teacher Not B 1.48 0.09 Not B 0.76 0.03 teacher teacher
  • 20. 20 Student profiles
  • 21. Tailoring to social attributes 21 With profiles With With profiles not F-test F-test Attribute GENERIC mentioning mentioning (G-M) (N-M) (G) attribute (M) attribute (N) Female pronoun 5% 4% 16% 9.68* 12.82** Male pronoun 19% 14% 19% 0.004 1.19 Sports word 9% 9% 24% 18.01** 11.89** TV word 4% 4% 10% 8.36* 2.63† Music word 2% 2% 9% 6.92* 8.93** Home word 14% n/a 20% 3.60* n/a Probabilities of authoring matching an attribute †p<.10 *p<.05 **p<.001
  • 22. For profile with a home outside town 22
  • 23. For profile who lives in tall apartment building 23
  • 24. Tailoring to cognitive attributes 24 Verbal skill in profile General math skill in profile Verbal Sign Mean Std Math Sign Probability Std Err skill . reading Err skill . of using 3- shown diffs level of shown diffs 4-5 contribution triangle High A 3.78 0.24 High A 16% 0.05 Medium A B 3.56 0.32 Medium A B 26% 0.05 Low B 2.93 0.33 Low B 27% 0.04 GENERI B 3.20 0.16 GENER A B 21% 0.03 C IC Correspondence of verbal and math skill levels with the authoring interface
  • 25. Shakespeare for profile in “top of English class” 25
  • 26. Effects of profiles 26 On effort On quality  Problem statements  No main effect of in profile condition profiles on quality were 25% longer  No interaction with  No significant teacher status either difference in time spent (median 5 each minutes on statement and solution)
  • 27. 27 Conclusions
  • 28. Recap of Hypotheses 28 Hypothesis Short Long Answer Answer 1 Quality control is easy Yes Filtering trivial; rating by experts take less than a minute 2 Math teachers contribute Partly Amateurs and non-math teachers the best worked examples wrote okay problem statements and amateurs wrote better solutions 3 Profiles lead to tailoring Yes Every aspect of profiles was tailored to 4 Profiles increase effort Inconclusiv A quarter longer problem e statement, but no difference in time 5 Profiles lead to higher No No difference in machine filtering quality contributions or human rated quality
  • 29. Current and future work 29 • Volunteers • Others rate and submit new critique material Generate Evaluate Improve Use • Link resources • Others make the into tutoring contribution systems or better create new ones
  • 30. Current and future work 30 • Volunteers • Others rate and submit new critique material Generate Evaluate Improve Use • Link resources • Others make the into tutoring contribution systems or better create new ones
  • 31. Current and future work 31 • Volunteers • Others rate and submit new critique material Generate Evaluate Improve Use • Link resources • Others make the into tutoring contribution systems or better create new ones
  • 32. Acknowledgements 32  Thanks to ASSISTment project, Ken Koedinger and Sara Kiesler for data and feedback  Work supported by IES and NSF  It’s going to take a lot of connected work to build a scalable shared ITS for the world  Let’s talk more about how  http://OpenEducationResearch.org
  • 33. Gratis participants 33  Still 93 submissions from 92 participants  Of these 38 submissions from 21 participants pass machine vetting  41% pass rate of machine vetting compared to 49% rate in experiment  Not significantly different by Fisher's Exact Test (p=0.16)

Hinweis der Redaktion

  1. [Insert a graphic to start this off]
  2. developing ITS is expensive and it’s done in small groups.Lots of work by skilled experts in the groupslet’s figure out how to distribute it. Open source (Linux) and open content (Wikipedia) show us it can be done.No large scale collaboration systems for ITS authoring. The goal here is something of a Wikipedia for tutoring.Then next slide, Wikipedia on PT.
  3. But Wikipedia itself is not the right model. E.g. this Wikipedia entry is geared to people who already know the math and want more details.No learning by doing. No doing in Wikipedia at all. If you put such information into Wikipedia, you get a note you move to Wikiversityand Wikibooks. But if you look at those, they have hardly any content. Wikis are awkward for instructional material because they attempt to be canonical.But students learn in diverse ways and at different rates.Let’s allow divergence of resources so that materials can be tailored specifically to each student.
  4. The work here is part of a larger study into a working collaborative community. The vision is for a model of development that is cheaper than existing methods, leads people to think more about learning, and can evolve to be the best.[walk through the cycle]The study I’m going to tell you about is in the Generation phase of the cycle, where people submit new material.[save for end:Here Improve leads to Generate because each improvement is actually a new artifact that then gets evaluated on its own. We can come back to full cycle at the end.
  5. To build such a system requires an understanding of the social context, so we begin by studying it empirically.[Emphasize why we want these things]e.g. if we made it, would enough people use it?Would picking out the good stuff be feasible?How can the system foster quality adaptive materials?
  6. So to examine these, we created a prototype authoring system that works over the webParticipants show up to the site and contribute new worked example problemsWe wanted to see the quality of what people contributed and how hard it is to pick out the good stuff.We also wanted to see if we could increase the quality and diversity of the contributions by manipulating the authoring tool.so some participants were asked to target their worked example to a specific person
  7. In more detail…ARTIFACTWorked examples improve learning, particularly when coupled with interactive tutoringNot very different from a simple inner loop (which by Van Lehn’s Law simple may be good enough)DOMAINPT most difficult in Assistment data at the timePerhaps machines could make exercise text more efficiently that volunteers, but not drawings.
  8. To get an idea of what was made, here is a worked example that one of the participants submitted.
  9. This is the tool they used to make them.
  10. Specific hypotheses in separating wheat from chaff are that
  11. Let me describe the experimental condition.Half the participants, randomly assigned, were asked to help “the student above” in understanding the Pythagorean Theorem. They would see one of 16 different student profiles at the top of the authoring tool.[go slowly through pics, read them out][use pointer to contrast the features. Flip back and forth.]
  12. We expect these differences would do these three things.
  13. even when I took away the money, people contributed at roughly the same quality levels. (wait for them to ask for the final slide)Of the 1130, filtered out the contributions that didn’t follow the form. Calling “machine filtering” because simple SQL query without human intervention. So it’s very easy to do a first pass quality filter.Here we compare depth of participation across three types of participants: math teachers, other teachers, and amateurs.
  14. Easy to filter.
  15. After the machine filter, the remaining submissions were coded for quality by two geometry teachers.Here ratings and definitions they used [read them]Three components of each problem were rated: problem statement (Statement), the work shown (Work), and the explanation of the work(Explanation). median time to rate was ~40 seconds and they agreed alpha=0.8.So it’s pretty easy for people to accurately rate the quality.. Overall then, separating the wheat from the chaff in a production system will be feasible.
  16. [read out the legend][put screenshots into this the way I did with the Wikipedia page][figure out what I want them to get from the examples. Scrolling back and forth is impossible. Cut down to two. Zoom into parts to talk about. Include where the three components differed and point that out Explain the color codes.]
  17. [
  18. Here is the quality distribution of all the original 1130 contributions after machine filtering and human ratings. Whole here is the value from averaging the statement and the solution.See in Filtered column, Over half filtered instantly by SQL query. Other columns are the 551 human rated.In general the statements were of higher quality than the solutions. Over 300 were worthy without modification.We see that solutions were the most difficult parts to authorwell. And there were effectsby expertise…
  19. As predicted in H2, math teachers did write the best problem statements. See the A and B groupings of significant differences.Surprisingly, their solutions weren’t any better than the amateurs. Amateurs did slightly though not significantly better than math teachers. Comparing amateurs to teachers all together, amateurs did significantly better.The take-away from this is that non-professional educators produce valuable contributions, which can exceed those of professionals. And educational content systemscan benefit from opening the channels of contribution to all comers.
  20. Here are the results of the student profiles manipulation. Focus on these columns [explain]Most remarkable is the use of gender pronouns. Pronoun attributes mean presence of that pronoun in the problem statement. Generic condition is like a normal authoring tool, 19% of problems discuss males but only 5% discuss females. When you show a student profile that is female, she pronouns are included in 16% of those problems. Though this is still less than the 19% males, which is the same rate even when you show a male. Clearly males are the default mindset.Another strong effect by including the sports hobby, discussion of sports went from 9% to 24%.Same pattern for all the other social attributes in the profile (well except favorite color).
  21. To give you an idea the tailoring. [read out loud]Here they used the 3-4-5 Pythagorean Triple.
  22. Another drawing on the profile details. [read out loud]
  23. So when shown a student profile, people tailor their contributions to the social attributes shown. What about the cognitive attributes?We expect the difficulty measures in contributions for high skill profiles to differ from the low. And that’s in fact what we see. Comparing the reading level of the contributions, High verbal profiles were significantly different from low, by almost a grade level. Also significantly different from generic.Same situation with math skill, measured by probability of making the problem around the 3-4-5 triangle, the simplest Pythagorean triple. So in the Generic condition, 21% of the problems used the integers 3, 4 and 5.
  24. Here’s anotherexample,one of my favorites. The student was High in verbal, “top of their English class”. The authoring customized not just the difficulty but the engagement of the content.
  25. The last two hypotheses were not confirmed. Not clear effect on effort. While problem statement in the profile condition were 25% longer, this may not be a good measure. Another measure, time spent, had no significant difference.Profiles had no effect on quality. There was no difference in quality between the conditions.
  26. More parts of the design to study.
  27. Right now I’m running a second web study of how people evaluate and improve the problems from the study described here.
  28. I plan to develop production web site in the fallfor educators to create, use, improve, and discuss worked example problems. Part of this will be how to motivate contributions (in the form of original works, improvements, feedback, etc.)If the system grows enough, I look forward to classroom studies in which students are involved in making, rating and improving problems.I also intend to provide open data APIsand linking in with other projects. I think this collaborative system will best built collaboratively.
  29. The end