Analogical Scaffolding in Collaborative Learning - Revision history

Bvds: /* Connections */

2010-07-02T23:23:41Z

Connections

← Older revision		Revision as of 23:23, 2 July 2010
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	This project shares features with the following research projects:		This project shares features with the following research projects:

	* [[Bridging_Principles_and_Examples_through_Analogy_and_Explanation\|Bridging Principles and Examples through Analogy and Explanation (Nokes & VanLehn]]		* [[Bridging_Principles_and_Examples_through_Analogy_and_Explanation\|Bridging Principles and Examples through Analogy and Explanation (Nokes & VanLehn)]]
	* [[Craig observing \| Learning from Problem Solving while Observing Worked Examples (Craig Gadgil, & Chi)]]		* [[Craig observing \| Learning from Problem Solving while Observing Worked Examples (Craig Gadgil, & Chi)]]

Soniyag: /* Explanation */

2009-05-15T15:14:00Z

Explanation

← Older revision		Revision as of 15:14, 15 May 2009
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	* Open-Ended Questions Test. The first question in this test consisted of two problems for which students had to determine whether the answer was correct or wrong and provide an explanation for the same. The second question consisted of two problems for which students had to calculate an answer and provide an explanation. Chi square tests revealed no difference between conditions on either question. All χ2s (2, N = 36) <4.8, ns.		* Open-Ended Questions Test. The first question in this test consisted of two problems for which students had to determine whether the answer was correct or wrong and provide an explanation for the same. The second question consisted of two problems for which students had to calculate an answer and provide an explanation. Chi square tests revealed no difference between conditions on either question. All χ2s (2, N = 36) <4.8, ns.

	~~=== Explanation ===~~

	===Further Information===		===Further Information===

Soniyag: /* Learning Results */

2009-05-12T18:01:23Z

Learning Results

← Older revision		Revision as of 18:01, 12 May 2009
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	====Learning Results====		====Learning Results====
	[[Image:Example.jpg\| ~~center~~]]During learning, students in all three conditions studied worked examples and solved isomorphic problems. The answers to compare questions and sequential questions were scored for students in those conditions. Students were given one point for every correct concept they mentioned while answering the analogical comparison questions in the compare condition or questions directed at studying individual examples in the sequential condition.		[[Image:Example.jpg\|left]]During learning, students in all three conditions studied worked examples and solved isomorphic problems. The answers to compare questions and sequential questions were scored for students in those conditions. Students were given one point for every correct concept they mentioned while answering the analogical comparison questions in the compare condition or questions directed at studying individual examples in the sequential condition.
	The sequential group answered a significantly higher percentage of questions (M = 70.28%, SE = 5%) correctly over the compare group (M = 50.66%, SE = 6%); F (1,22)= 5.60, p < 0.05.		The sequential group answered a significantly higher percentage of questions (M = 70.28%, SE = 5%) correctly over the compare group (M = 50.66%, SE = 6%); F (1,22)= 5.60, p < 0.05.
	Next, we looked at the isomorphic problems students solved during learning. On the first isomorphic problem, the three conditions were not significantly different; F (2,33) = 0.88, ns. On the second isomorphic problem, the three conditions were marginally different; F (2,33) = 2.60, p < 0.1 and the effect was in a direction favoring the sequential group over the compare and the problem solving groups.		Next, we looked at the isomorphic problems students solved during learning. On the first isomorphic problem, the three conditions were not significantly different; F (2,33) = 0.88, ns. On the second isomorphic problem, the three conditions were marginally different; F (2,33) = 2.60, p < 0.1 and the effect was in a direction favoring the sequential group over the compare and the problem solving groups.

Soniyag: /* Learning Results */

2009-05-12T18:01:09Z

Learning Results

← Older revision		Revision as of 18:01, 12 May 2009
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	====Learning Results====		====Learning Results====
	[[Image:Example.jpg]]During learning, students in all three conditions studied worked examples and solved isomorphic problems. The answers to compare questions and sequential questions were scored for students in those conditions. Students were given one point for every correct concept they mentioned while answering the analogical comparison questions in the compare condition or questions directed at studying individual examples in the sequential condition.		[[Image:Example.jpg\| center]]During learning, students in all three conditions studied worked examples and solved isomorphic problems. The answers to compare questions and sequential questions were scored for students in those conditions. Students were given one point for every correct concept they mentioned while answering the analogical comparison questions in the compare condition or questions directed at studying individual examples in the sequential condition.
	The sequential group answered a significantly higher percentage of questions (M = 70.28%, SE = 5%) correctly over the compare group (M = 50.66%, SE = 6%); F (1,22)= 5.60, p < 0.05.		The sequential group answered a significantly higher percentage of questions (M = 70.28%, SE = 5%) correctly over the compare group (M = 50.66%, SE = 6%); F (1,22)= 5.60, p < 0.05.
	Next, we looked at the isomorphic problems students solved during learning. On the first isomorphic problem, the three conditions were not significantly different; F (2,33) = 0.88, ns. On the second isomorphic problem, the three conditions were marginally different; F (2,33) = 2.60, p < 0.1 and the effect was in a direction favoring the sequential group over the compare and the problem solving groups.		Next, we looked at the isomorphic problems students solved during learning. On the first isomorphic problem, the three conditions were not significantly different; F (2,33) = 0.88, ns. On the second isomorphic problem, the three conditions were marginally different; F (2,33) = 2.60, p < 0.1 and the effect was in a direction favoring the sequential group over the compare and the problem solving groups.

Soniyag: /* Learning Results */

2009-05-12T17:55:47Z

Learning Results

← Older revision		Revision as of 17:55, 12 May 2009
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	====Learning Results====		====Learning Results====
	~~During learning, students in all t~~		[[Image:Example.jpg]]During learning, students in all three conditions studied worked examples and solved isomorphic problems. The answers to compare questions and sequential questions were scored for students in those conditions. Students were given one point for every correct concept they mentioned while answering the analogical comparison questions in the compare condition or questions directed at studying individual examples in the sequential condition.
	[[Image:Example.jpg]]
	~~hree~~ conditions studied worked examples and solved isomorphic problems. The answers to compare questions and sequential questions were scored for students in those conditions. Students were given one point for every correct concept they mentioned while answering the analogical comparison questions in the compare condition or questions directed at studying individual examples in the sequential condition.
	The sequential group answered a significantly higher percentage of questions (M = 70.28%, SE = 5%) correctly over the compare group (M = 50.66%, SE = 6%); F (1,22)= 5.60, p < 0.05.		The sequential group answered a significantly higher percentage of questions (M = 70.28%, SE = 5%) correctly over the compare group (M = 50.66%, SE = 6%); F (1,22)= 5.60, p < 0.05.
	Next, we looked at the isomorphic problems students solved during learning. On the first isomorphic problem, the three conditions were not significantly different; F (2,33) = 0.88, ns. On the second isomorphic problem, the three conditions were marginally different; F (2,33) = 2.60, p < 0.1 and the effect was in a direction favoring the sequential group over the compare and the problem solving groups.		Next, we looked at the isomorphic problems students solved during learning. On the first isomorphic problem, the three conditions were not significantly different; F (2,33) = 0.88, ns. On the second isomorphic problem, the three conditions were marginally different; F (2,33) = 2.60, p < 0.1 and the effect was in a direction favoring the sequential group over the compare and the problem solving groups.

Soniyag: /* Learning Results */

2009-05-12T17:55:02Z

Learning Results

← Older revision		Revision as of 17:55, 12 May 2009
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	====Learning Results====		====Learning Results====
	During learning, students in all ~~three~~ conditions studied worked examples and solved isomorphic problems. The answers to compare questions and sequential questions were scored for students in those conditions. Students were given one point for every correct concept they mentioned while answering the analogical comparison questions in the compare condition or questions directed at studying individual examples in the sequential condition.		During learning, students in all t
			[[Image:Example.jpg]]
			hree conditions studied worked examples and solved isomorphic problems. The answers to compare questions and sequential questions were scored for students in those conditions. Students were given one point for every correct concept they mentioned while answering the analogical comparison questions in the compare condition or questions directed at studying individual examples in the sequential condition.
	The sequential group answered a significantly higher percentage of questions (M = 70.28%, SE = 5%) correctly over the compare group (M = 50.66%, SE = 6%); F (1,22)= 5.60, p < 0.05.		The sequential group answered a significantly higher percentage of questions (M = 70.28%, SE = 5%) correctly over the compare group (M = 50.66%, SE = 6%); F (1,22)= 5.60, p < 0.05.
	Next, we looked at the isomorphic problems students solved during learning. On the first isomorphic problem, the three conditions were not significantly different; F (2,33) = 0.88, ns. On the second isomorphic problem, the three conditions were marginally different; F (2,33) = 2.60, p < 0.1 and the effect was in a direction favoring the sequential group over the compare and the problem solving groups.		Next, we looked at the isomorphic problems students solved during learning. On the first isomorphic problem, the three conditions were not significantly different; F (2,33) = 0.88, ns. On the second isomorphic problem, the three conditions were marginally different; F (2,33) = 2.60, p < 0.1 and the effect was in a direction favoring the sequential group over the compare and the problem solving groups.

Soniyag: /* Test Results */

2009-05-12T17:49:49Z

Test Results

← Older revision		Revision as of 17:49, 12 May 2009
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	The test phase was administered individually; therefore all scores reported below are means of scores for individual students.The test phase was divided into three sections: multiple-choice, problem solving, and open-ended questions.		The test phase was administered individually; therefore all scores reported below are means of scores for individual students.The test phase was divided into three sections: multiple-choice, problem solving, and open-ended questions.

	* Multiple-Choice Test.		* Multiple-Choice Test. Overall, all three conditions performed poorly on the multiple-choice questions. The overall mean was 3.82 (SE = 0.23) out of a total of ten points. There were no significant difference between conditions, F (2,69) = 0.05, ns. Therefore, we shall focus only on the performance of High learners. Item analysis of the multiple choice questions shows that the high learners in the compare condition performed significantly better than the high learners in the sequential and problem solving conditions on five questions. An ANOVA showed a significant difference between the three conditions, in a direction favoring the compare condition, F (2,33) = 3.86, p < 0.05 (See Fig. 1 for means and standard errors). Consistent with our predictions this result shows more conceptual learning for the compare condition than the sequential and problem solving conditions. Contrasts revealed that the compare group was significantly different from the sequential group t (1,33) = 2.56, p < 0.05 and problem-solving group; t (1,33) = 2.22, p < 0.05 but the sequential and problem-solving groups were not significantly different; t (1,33) = -0.34, ns.
	Overall, all three conditions performed poorly on the multiple-choice questions. The overall mean was 3.82 (SE = 0.23) out of a total of ten points. There were no significant difference between conditions, F (2,69) = 0.05, ns. Therefore, we shall focus only on the performance of High learners. Item analysis of the multiple choice questions shows that the high learners in the compare condition performed significantly better than the high learners in the sequential and problem solving conditions on five questions. An ANOVA showed a significant difference between the three conditions, in a direction favoring the compare condition, F (2,33) = 3.86, p < 0.05 (See Fig. 1 for means and standard errors). Consistent with our predictions this result shows more conceptual learning for the compare condition than the sequential and problem solving conditions. Contrasts revealed that the compare group was significantly different from the sequential group t (1,33) = 2.56, p < 0.05 and problem-solving group; t (1,33) = 2.22, p < 0.05 but the sequential and problem-solving groups were not significantly different; t (1,33) = -0.34, ns.

	* Problem Solving Test. The problem-solving test consisted of two questions, one of which was isomorphic to one of the problems the students had encountered in the learning intervention, but had different surface features. The other problem had extraneous values, which required students to determine which of the values were critical to solving the problem before they plugged in the numbers. We conducted a mixed model repeated measures ANOVA with problem-type as the within subject factor, and condition as the between-subject factor. There was a significant interaction problem-type X condition interaction (F (2,33)=3.37, p < 0.05). (See Fig. 2) Specifically, the students in the compare condition and sequential conditions performed better on the extraneous information problems than on the isomorphic problems, whereas students in the problem solving condition performed better on the isomorphic problem than they did on the extraneous information problem.		* Problem Solving Test. The problem-solving test consisted of two questions, one of which was isomorphic to one of the problems the students had encountered in the learning intervention, but had different surface features. The other problem had extraneous values, which required students to determine which of the values were critical to solving the problem before they plugged in the numbers. We conducted a mixed model repeated measures ANOVA with problem-type as the within subject factor, and condition as the between-subject factor. There was a significant interaction problem-type X condition interaction (F (2,33)=3.37, p < 0.05). (See Fig. 2) Specifically, the students in the compare condition and sequential conditions performed better on the extraneous information problems than on the isomorphic problems, whereas students in the problem solving condition performed better on the isomorphic problem than they did on the extraneous information problem.

Soniyag: /* Test Results */

2009-05-12T17:49:36Z

Test Results

← Older revision		Revision as of 17:49, 12 May 2009
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	The test phase was administered individually; therefore all scores reported below are means of scores for individual students.The test phase was divided into three sections: multiple-choice, problem solving, and open-ended questions.		The test phase was administered individually; therefore all scores reported below are means of scores for individual students.The test phase was divided into three sections: multiple-choice, problem solving, and open-ended questions.

	* Multiple-Choice Test. ~~[[Image:Graph1.jpg]]~~		* Multiple-Choice Test.
	Overall, all three conditions performed poorly on the multiple-choice questions. The overall mean was 3.82 (SE = 0.23) out of a total of ten points. There were no significant difference between conditions, F (2,69) = 0.05, ns. Therefore, we shall focus only on the performance of High learners. Item analysis of the multiple choice questions shows that the high learners in the compare condition performed significantly better than the high learners in the sequential and problem solving conditions on five questions. An ANOVA showed a significant difference between the three conditions, in a direction favoring the compare condition, F (2,33) = 3.86, p < 0.05 (See Fig. 1 for means and standard errors). Consistent with our predictions this result shows more conceptual learning for the compare condition than the sequential and problem solving conditions. Contrasts revealed that the compare group was significantly different from the sequential group t (1,33) = 2.56, p < 0.05 and problem-solving group; t (1,33) = 2.22, p < 0.05 but the sequential and problem-solving groups were not significantly different; t (1,33) = -0.34, ns.		Overall, all three conditions performed poorly on the multiple-choice questions. The overall mean was 3.82 (SE = 0.23) out of a total of ten points. There were no significant difference between conditions, F (2,69) = 0.05, ns. Therefore, we shall focus only on the performance of High learners. Item analysis of the multiple choice questions shows that the high learners in the compare condition performed significantly better than the high learners in the sequential and problem solving conditions on five questions. An ANOVA showed a significant difference between the three conditions, in a direction favoring the compare condition, F (2,33) = 3.86, p < 0.05 (See Fig. 1 for means and standard errors). Consistent with our predictions this result shows more conceptual learning for the compare condition than the sequential and problem solving conditions. Contrasts revealed that the compare group was significantly different from the sequential group t (1,33) = 2.56, p < 0.05 and problem-solving group; t (1,33) = 2.22, p < 0.05 but the sequential and problem-solving groups were not significantly different; t (1,33) = -0.34, ns.

Soniyag: /* Test Results */

2009-05-12T17:48:44Z

Test Results

← Older revision		Revision as of 17:48, 12 May 2009
Line 79:		Line 79:
	The test phase was administered individually; therefore all scores reported below are means of scores for individual students.The test phase was divided into three sections: multiple-choice, problem solving, and open-ended questions.		The test phase was administered individually; therefore all scores reported below are means of scores for individual students.The test phase was divided into three sections: multiple-choice, problem solving, and open-ended questions.

	* Multiple-Choice Test.		* Multiple-Choice Test. [[Image:Graph1.jpg]]
	Overall, all three conditions performed poorly on the multiple-choice questions. The overall mean was 3.82 (SE = 0.23) out of a total of ten points. There were no significant difference between conditions, F (2,69) = 0.05, ns. Therefore, we shall focus only on the performance of High learners. Item analysis of the multiple choice questions shows that the high learners in the compare condition performed significantly better than the high learners in the sequential and problem solving conditions on five questions. An ANOVA showed a significant difference between the three conditions, in a direction favoring the compare condition, F (2,33) = 3.86, p < 0.05 (See Fig. 1 for means and standard errors). Consistent with our predictions this result shows more conceptual learning for the compare condition than the sequential and problem solving conditions. Contrasts revealed that the compare group was significantly different from the sequential group t (1,33) = 2.56, p < 0.05 and problem-solving group; t (1,33) = 2.22, p < 0.05 but the sequential and problem-solving groups were not significantly different; t (1,33) = -0.34, ns.		Overall, all three conditions performed poorly on the multiple-choice questions. The overall mean was 3.82 (SE = 0.23) out of a total of ten points. There were no significant difference between conditions, F (2,69) = 0.05, ns. Therefore, we shall focus only on the performance of High learners. Item analysis of the multiple choice questions shows that the high learners in the compare condition performed significantly better than the high learners in the sequential and problem solving conditions on five questions. An ANOVA showed a significant difference between the three conditions, in a direction favoring the compare condition, F (2,33) = 3.86, p < 0.05 (See Fig. 1 for means and standard errors). Consistent with our predictions this result shows more conceptual learning for the compare condition than the sequential and problem solving conditions. Contrasts revealed that the compare group was significantly different from the sequential group t (1,33) = 2.56, p < 0.05 and problem-solving group; t (1,33) = 2.22, p < 0.05 but the sequential and problem-solving groups were not significantly different; t (1,33) = -0.34, ns.
	~~[[Image:Graph1.jpg]]~~
	* Problem Solving Test. The problem-solving test consisted of two questions, one of which was isomorphic to one of the problems the students had encountered in the learning intervention, but had different surface features. The other problem had extraneous values, which required students to determine which of the values were critical to solving the problem before they plugged in the numbers. We conducted a mixed model repeated measures ANOVA with problem-type as the within subject factor, and condition as the between-subject factor. There was a significant interaction problem-type X condition interaction (F (2,33)=3.37, p < 0.05). (See Fig. 2) Specifically, the students in the compare condition and sequential conditions performed better on the extraneous information problems than on the isomorphic problems, whereas students in the problem solving condition performed better on the isomorphic problem than they did on the extraneous information problem.		* Problem Solving Test. The problem-solving test consisted of two questions, one of which was isomorphic to one of the problems the students had encountered in the learning intervention, but had different surface features. The other problem had extraneous values, which required students to determine which of the values were critical to solving the problem before they plugged in the numbers. We conducted a mixed model repeated measures ANOVA with problem-type as the within subject factor, and condition as the between-subject factor. There was a significant interaction problem-type X condition interaction (F (2,33)=3.37, p < 0.05). (See Fig. 2) Specifically, the students in the compare condition and sequential conditions performed better on the extraneous information problems than on the isomorphic problems, whereas students in the problem solving condition performed better on the isomorphic problem than they did on the extraneous information problem.
	* Open-Ended Questions Test. The first question in this test consisted of two problems for which students had to determine whether the answer was correct or wrong and provide an explanation for the same. The second question consisted of two problems for which students had to calculate an answer and provide an explanation. Chi square tests revealed no difference between conditions on either question. All χ2s (2, N = 36) <4.8, ns.		* Open-Ended Questions Test. The first question in this test consisted of two problems for which students had to determine whether the answer was correct or wrong and provide an explanation for the same. The second question consisted of two problems for which students had to calculate an answer and provide an explanation. Chi square tests revealed no difference between conditions on either question. All χ2s (2, N = 36) <4.8, ns.

Soniyag: /* Test Results */

2009-05-12T17:47:23Z

Test Results

← Older revision		Revision as of 17:47, 12 May 2009
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	* Multiple-Choice Test.		* Multiple-Choice Test.
			Overall, all three conditions performed poorly on the multiple-choice questions. The overall mean was 3.82 (SE = 0.23) out of a total of ten points. There were no significant difference between conditions, F (2,69) = 0.05, ns. Therefore, we shall focus only on the performance of High learners. Item analysis of the multiple choice questions shows that the high learners in the compare condition performed significantly better than the high learners in the sequential and problem solving conditions on five questions. An ANOVA showed a significant difference between the three conditions, in a direction favoring the compare condition, F (2,33) = 3.86, p < 0.05 (See Fig. 1 for means and standard errors). Consistent with our predictions this result shows more conceptual learning for the compare condition than the sequential and problem solving conditions. Contrasts revealed that the compare group was significantly different from the sequential group t (1,33) = 2.56, p < 0.05 and problem-solving group; t (1,33) = 2.22, p < 0.05 but the sequential and problem-solving groups were not significantly different; t (1,33) = -0.34, ns.
	[[Image:Graph1.jpg]]		[[Image:Graph1.jpg]]
	Overall, all three conditions performed poorly on the multiple-choice questions. The overall mean was 3.82 (SE = 0.23) out of a total of ten points. There were no significant difference between conditions, F (2,69) = 0.05, ns. Therefore, we shall focus only on the performance of High learners. Item analysis of the multiple choice questions shows that the high learners in the compare condition performed significantly better than the high learners in the sequential and problem solving conditions on five questions. An ANOVA showed a significant difference between the three conditions, in a direction favoring the compare condition, F (2,33) = 3.86, p < 0.05 (See Fig. 1 for means and standard errors). Consistent with our predictions this result shows more conceptual learning for the compare condition than the sequential and problem solving conditions. Contrasts revealed that the compare group was significantly different from the sequential group t (1,33) = 2.56, p < 0.05 and problem-solving group; t (1,33) = 2.22, p < 0.05 but the sequential and problem-solving groups were not significantly different; t (1,33) = -0.34, ns.
	* Problem Solving Test. The problem-solving test consisted of two questions, one of which was isomorphic to one of the problems the students had encountered in the learning intervention, but had different surface features. The other problem had extraneous values, which required students to determine which of the values were critical to solving the problem before they plugged in the numbers. We conducted a mixed model repeated measures ANOVA with problem-type as the within subject factor, and condition as the between-subject factor. There was a significant interaction problem-type X condition interaction (F (2,33)=3.37, p < 0.05). (See Fig. 2) Specifically, the students in the compare condition and sequential conditions performed better on the extraneous information problems than on the isomorphic problems, whereas students in the problem solving condition performed better on the isomorphic problem than they did on the extraneous information problem.		* Problem Solving Test. The problem-solving test consisted of two questions, one of which was isomorphic to one of the problems the students had encountered in the learning intervention, but had different surface features. The other problem had extraneous values, which required students to determine which of the values were critical to solving the problem before they plugged in the numbers. We conducted a mixed model repeated measures ANOVA with problem-type as the within subject factor, and condition as the between-subject factor. There was a significant interaction problem-type X condition interaction (F (2,33)=3.37, p < 0.05). (See Fig. 2) Specifically, the students in the compare condition and sequential conditions performed better on the extraneous information problems than on the isomorphic problems, whereas students in the problem solving condition performed better on the isomorphic problem than they did on the extraneous information problem.
	* Open-Ended Questions Test. The first question in this test consisted of two problems for which students had to determine whether the answer was correct or wrong and provide an explanation for the same. The second question consisted of two problems for which students had to calculate an answer and provide an explanation. Chi square tests revealed no difference between conditions on either question. All χ2s (2, N = 36) <4.8, ns.		* Open-Ended Questions Test. The first question in this test consisted of two problems for which students had to determine whether the answer was correct or wrong and provide an explanation for the same. The second question consisted of two problems for which students had to calculate an answer and provide an explanation. Chi square tests revealed no difference between conditions on either question. All χ2s (2, N = 36) <4.8, ns.