Difference between revisions of "Worked Examples"

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{{Infobox_designpattern
{{Infobox_designpattern
|image=Worked_examples.png
|image=Worked_examples.png
|author=[[User:Pinventado|Paul Inventado]]<br/>Peter Scupelli
|author=[[User:Pinventado|Paul Inventado]], Peter Scupelli
|contributor=
|contributor=
|datasource= [[Data:ASSISTments2012-2013_problem-student_level|ASSISTments data]]
|dataanalysis=[[Analysis:Student_affect_and_interaction_behavior_in_ASSISTments#hintusage |Student affect and interaction behavior in ASSISTments]]
|dataanalysis=
|domain= General
|domain= General
|stakeholders= Teachers<br/>Students
|stakeholders= Teachers, >Students
|evaluation = PLoP 2015 writing workshop <br/>[[Talk:ASSISTments]]
|evaluation = PLoP 2015 writing workshop, [[Talk:ASSISTments]]
|application = [[ASSISTments]]
|application = [[ASSISTments]]
|appliedevaluation = [[ASSISTments]]
|appliedevaluation = [[ASSISTments]]
}}
}}


If some students don’t have an overview of how to solve the problem and where to begin then provide a worked example so that students can have an overview of the procedures to follow.  
If a student doesn’t have an overview of how to solve the problem and where to begin, then provide a worked example so that students can have an overview of the procedures to follow.


==Context==
==Context==
An online learning system allows teachers to give exercises and assignments to their students. Teachers can select problems, specify the sequence and conditions for presenting problems, and assign an exercise or homework to students. Students can access their assignments through the system and answer each problem one after the other. Whenever students submit their answers, the system informs them if their answer was correct or incorrect. Students can also request for hints to help them solve the problem.
Students are asked to answer problems in an online learning system. Teachers design and encode the problems with corresponding answers in the online learning system. Teachers also design feedback such as hints, or bug messages (i.e., short explanation why the answer was incorrect) to address common student misconceptions or errors.


==Problem==
==Problem==
Some students don’t have an overview of how to solve the problem and where to begin.
Some students don’t have an overview of how to solve the problem and where to begin.
==Forces==
#'''Prior knowledge.''' Students may find it impossible to solve a problem when they have not acquired the necessary skills to solve it<ref name="Sweller2004">Sweller, J. (2004). [http://link.springer.com/article/10.1023%2FB%3ATRUC.0000021808.72598.4d Instructional design consequences of an analogy between evolution by natural selection and human cognitive architecture]. Instructional science, 32(1-2), 9-31.</ref>.
#'''Randomness.''' When students do not know how to solve a problem, they randomly combine elements they already know to form a solution and test its effectiveness. Although it is possible to find a solution this way, it could take a lot of time and effort especially if it is a complex problem<ref name="Sweller2004"/>).
#'''Affective entry.''' When students are unable to achieve their learning goals, they may become frustrated, discouraged of their abilities, and dislike the subject<ref name="Bloom1974">Bloom, B. S. (1974). [http://psycnet.apa.org/journals/amp/29/9/682/ Time and learning]. American psychologist, 29(9), 682.</ref>.
#'''Limited resources.''' Student attention and patience is a limited resource possibly affected by pending deadlines, upcoming tests, achievement in previous learning experiences, personal interest, quality of instruction, achievement in previous learning experiences, personal interest, quality of instruction, and others<ref>Arnold, A., Scheines, R., Beck, J. E., and Jerome, B. (2005). [https://oli.cmu.edu/wp-oli/wp-content/uploads/2012/05/Arnold_2005_Time_and_Attention.pdf Time and attention: Students, sessions, and tasks]. In Proceedings of the AAAI 2005 Workshop Educational Data Mining (pp. 62-66).</ref><ref name="Bloom1974"/>.


==Solution==
==Solution==
Provide a worked example so that students can have an overview of the procedures to follow.  
Therefore, provide a worked example so that students can have an overview of the procedures to follow.


==Forces==
Students may request for a worked example themselves, or the system could show the worked example automatically according to different mechanisms (e.g., too many attempts, predictions of student ability to solve the problem).
# Teachers make assumptions about the background knowledge of students who will be answering the problems they create. For example, students should already understand addition and subtraction in a multiplication problem.
# Teachers provide a limited number of hints that address specific issues that they think will help students.
# Students do not always have enough prior knowledge to solve the problems assigned to them.  


==Consequences==
==Consequences==


===Benefits===
===Benefits===
# Students could see the entire procedure for solving the problem they are solving
#Worked examples help students form new knowledge, which they can use to solve similar problems.
# Students can learn from the worked example, which could also help them solve similar problems.
#Students see an effective solution to adapt instead of finding solutions on their own.
#Students will be more confident in their abilities and develop interest in the subject when they successfully apply the solution.
#Students will be focused in activities they know how to perform.


===Liabilities===
===Liabilities===
# Teachers and content experts will need to provide worked examples aside from hints and other feedback.
#Teachers and content experts will need to provide worked examples aside from hints and other feedback.
# The online learning system will need to provide an interface to show worked examples.
#The online learning system will need to provide an interface to show worked examples.
 
==Example==
When teachers create a math problem in the ASSISTments math online learning system, they will be asked to provide the math problem, the correct answer, the hints, and also a worked example. In the interface, students who do not have an idea how to solve a problem can click a “worked-example button”, which will show the worked example provided by the teacher. Students can learn from the worked example and use it to solve the current problem and other similar questions in the future.


==Evidence==
==Evidence==


===Literature===
===Literature===
Learning from examples is a common learning strategy that students use to acquire new skills. Worked examples give a step-by-step demonstration of how to perform a task or solve a problem. It helps novice learners form basic knowledge structures, which they can use to acquire new knowledge and skills through practice <ref>Clark, R. C., & Mayer, R. E. (2011). [http://www.wiley.com/WileyCDA/WileyTitle/productCd-0470874309.html E-learning and the science of instruction: Proven guidelines for consumers and designers of multimedia learning]. John Wiley & Sons.</ref>.  
Learning from examples is a common learning strategy that students use to acquire new skills. Worked examples give a step-by-step demonstration of how to perform a task or solve a problem. It helps novice learners form basic knowledge structures, which they can use to acquire new knowledge and skills through practice<ref>Clark, R. C., and Mayer, R. E. (2011). [http://www.wiley.com/WileyCDA/WileyTitle/productCd-0470874309.html E-learning and the science of instruction: Proven guidelines for consumers and designers of multimedia learning]. John Wiley & Sons.</ref>.  


===Discussion===
===Discussion===
Our shepherd and stakeholders (i.e., online learning system expert, educational data mining and learning analytics expert, and educators) agreed that worked examples could help novice learners solve problems that are still quite new to them. They also thought it could help them solve similar problems.
In a meeting with Ryan Baker and his team at Teacher's College in Columbia University, Neil Heffernan and his team at Worcester Polytechnic Institute, and Peter Scupelli and his team at the School of Design in Carnegie Mellon University (i.e., ASSISTments stakeholders), the team agreed that linking to external content such as textbooks was a notable, recurring design problem. They also considered consolidating content in ASSISTments as a good solution.
 
David West, the pattern's shepherd at PLoP 2015, also considered the pattern definition acceptable.


===Data===
===Data===
Data collected from the ASSISTments online learning system showed that students rapidly requested for all available hints when they did not know how to solve the problem (i.e., based on hint request and answer correctness features). Students could have used hints as a proxy for worked examples, which showed them the entire procedure for solving the problem [http://http://www.contrib.andrew.cmu.edu/~lelab/patternwiki/ASSISTments_experiments].
According to an [[Analysis:Student_affect_and_interaction_behavior_in_ASSISTments#hintusage | analysis of ASSISTments’ data]], students rapidly requested for all available hints when they did not know how to solve the problem (i.e., based on hint request and answer correctness features). Students could have used hints as a proxy for worked examples, which showed them the entire procedure for solving the problem.
<!--===Applied evaluation===
Results from randomized controlled trials (RCTs) or similar tests that measures the pattern's effectiveness in an actual application. For example, compare student learning gains in an online learning system with and without applying the pattern. -->


===Pattern application===
==Related patterns==
The problem has been seen frequently in the ASSISTments math online learning system data. Finding the problem in other platforms and domains can further strengthen the confidence on the pattern’s quality [http://http://www.contrib.andrew.cmu.edu/~lelab/patternwiki/ASSISTments_experiments].
Worked examples organize the solution into a series of steps much like '''Wizard'''<ref>Tidwell, J. (2011). [http://shop.oreilly.com/product/0636920000556.do Designing Interfaces]. O’Reilly Media, Sebastapool, CA, USA.</ref>.


===Applied evaluation===
==Example==
RCTs evaluating the use of worked examples can strengthen the confidence on the pattern’s quality if they are shown to be effective [http://http://www.contrib.andrew.cmu.edu/~lelab/patternwiki/ASSISTments_experiments].
When teachers create a math problem in an online learning system, they can encode the math problem, the correct answer, corresponding hints, and also a worked example. Students can request for worked examples to see an effective solution they can learn from, and use it to solve the current problem and similar problems in the future.


==Related patterns==
[[File:Worked_examples_ex.png | center|800px]]
Worked examples organize the solution into a series of steps much like Wizard <ref>Tidwell, J. (2011). [http://www.oreilly.com/pub/pr/2725 Designing Interfaces]. O’Reilly Media, Sebastapool, CA, USA.</ref>.


==References==
==References==
<references/>
<references/>


[[Category:Design_patterns]][[Category:ASSISTments]]
[[Category:Design_patterns]] [[Category:ASSISTments]]

Revision as of 13:08, 8 July 2015

Worked Examples
Worked examples.png
Contributors
Last modification July 8, 2015
Source {{{source}}}
Pattern formats OPR Alexandrian
Usability
Learning domain General
Stakeholders Teachers, >Students
Production
Data analysis Student affect and interaction behavior in ASSISTments
Confidence
Evaluation PLoP 2015 writing workshop, Talk:ASSISTments
Application ASSISTments
Applied evaluation ASSISTments

If a student doesn’t have an overview of how to solve the problem and where to begin, then provide a worked example so that students can have an overview of the procedures to follow.

Context

Students are asked to answer problems in an online learning system. Teachers design and encode the problems with corresponding answers in the online learning system. Teachers also design feedback such as hints, or bug messages (i.e., short explanation why the answer was incorrect) to address common student misconceptions or errors.

Problem

Some students don’t have an overview of how to solve the problem and where to begin.

Forces

  1. Prior knowledge. Students may find it impossible to solve a problem when they have not acquired the necessary skills to solve it[1].
  2. Randomness. When students do not know how to solve a problem, they randomly combine elements they already know to form a solution and test its effectiveness. Although it is possible to find a solution this way, it could take a lot of time and effort especially if it is a complex problem[1]).
  3. Affective entry. When students are unable to achieve their learning goals, they may become frustrated, discouraged of their abilities, and dislike the subject[2].
  4. Limited resources. Student attention and patience is a limited resource possibly affected by pending deadlines, upcoming tests, achievement in previous learning experiences, personal interest, quality of instruction, achievement in previous learning experiences, personal interest, quality of instruction, and others[3][2].

Solution

Therefore, provide a worked example so that students can have an overview of the procedures to follow.

Students may request for a worked example themselves, or the system could show the worked example automatically according to different mechanisms (e.g., too many attempts, predictions of student ability to solve the problem).

Consequences

Benefits

  1. Worked examples help students form new knowledge, which they can use to solve similar problems.
  2. Students see an effective solution to adapt instead of finding solutions on their own.
  3. Students will be more confident in their abilities and develop interest in the subject when they successfully apply the solution.
  4. Students will be focused in activities they know how to perform.

Liabilities

  1. Teachers and content experts will need to provide worked examples aside from hints and other feedback.
  2. The online learning system will need to provide an interface to show worked examples.

Evidence

Literature

Learning from examples is a common learning strategy that students use to acquire new skills. Worked examples give a step-by-step demonstration of how to perform a task or solve a problem. It helps novice learners form basic knowledge structures, which they can use to acquire new knowledge and skills through practice[4].

Discussion

In a meeting with Ryan Baker and his team at Teacher's College in Columbia University, Neil Heffernan and his team at Worcester Polytechnic Institute, and Peter Scupelli and his team at the School of Design in Carnegie Mellon University (i.e., ASSISTments stakeholders), the team agreed that linking to external content such as textbooks was a notable, recurring design problem. They also considered consolidating content in ASSISTments as a good solution.

David West, the pattern's shepherd at PLoP 2015, also considered the pattern definition acceptable.

Data

According to an analysis of ASSISTments’ data, students rapidly requested for all available hints when they did not know how to solve the problem (i.e., based on hint request and answer correctness features). Students could have used hints as a proxy for worked examples, which showed them the entire procedure for solving the problem.

Related patterns

Worked examples organize the solution into a series of steps much like Wizard[5].

Example

When teachers create a math problem in an online learning system, they can encode the math problem, the correct answer, corresponding hints, and also a worked example. Students can request for worked examples to see an effective solution they can learn from, and use it to solve the current problem and similar problems in the future.

Worked examples ex.png

References

  1. 1.0 1.1 Sweller, J. (2004). Instructional design consequences of an analogy between evolution by natural selection and human cognitive architecture. Instructional science, 32(1-2), 9-31.
  2. 2.0 2.1 Bloom, B. S. (1974). Time and learning. American psychologist, 29(9), 682.
  3. Arnold, A., Scheines, R., Beck, J. E., and Jerome, B. (2005). Time and attention: Students, sessions, and tasks. In Proceedings of the AAAI 2005 Workshop Educational Data Mining (pp. 62-66).
  4. Clark, R. C., and Mayer, R. E. (2011). E-learning and the science of instruction: Proven guidelines for consumers and designers of multimedia learning. John Wiley & Sons.
  5. Tidwell, J. (2011). Designing Interfaces. O’Reilly Media, Sebastapool, CA, USA.