CUMULATE asymptotic knowledge assessment - Revision history

Myudelson at 23:16, 8 April 2009

2009-04-08T23:16:44Z

Myudelson: /* Examples */

2009-04-08T23:15:43Z

‎Examples

Myudelson: /* Criticism */

2009-04-08T23:13:52Z

‎Criticism

Myudelson: /* Criticism */

2009-04-08T23:12:32Z

‎Criticism

Myudelson: /* Criticism */

2009-04-08T20:26:14Z

‎Criticism

Myudelson at 20:23, 8 April 2009

2009-04-08T20:23:52Z

Myudelson at 20:23, 8 April 2009

2009-04-08T20:23:27Z

Myudelson at 20:17, 8 April 2009

2009-04-08T20:17:35Z

Myudelson: /* Examples */

2009-04-08T20:17:03Z

‎Examples

Myudelson: /* Examples */

2009-04-08T20:16:49Z

‎Examples

@@ Line 14: / Line 14: @@
 =Examples=
-Below is a graph of concept's knowledge level growth vs. number of successful attempts to apply it. Every time the concept is applied correctly in a new problem. Every time the concept is only one concept of the problem -- the
+Below is a graph of concept's knowledge level growth vs. number of successful attempts to apply it. Every time the concept is applied correctly in a new problem. Every time the concept is the only concept of the problem. Namely, the ''Wc,p''/&Sigma;''Wc,p'' ratio is equal to 1.
 [[Image:CUMULATE asymptotic knowledge assessment - knowledge growth.png]]

@@ Line 14: / Line 14: @@
 =Examples=
-Below is a graph of concept's knowledge level growth vs. number of successful attempts to apply it in a problem. Every time the concept is applied correctly in a new problem.
+Below is a graph of concept's knowledge level growth vs. number of successful attempts to apply it. Every time the concept is applied correctly in a new problem. Every time the concept is only one concept of the problem -- the
 [[Image:CUMULATE asymptotic knowledge assessment - knowledge growth.png]]

@@ Line 24: / Line 24: @@
 * the speed of knowledge growth cannot be adjusted (e.g. slow for hard concepts, fast for easy concepts)
 * problem repetition penalty is not adjustable as well
-As a result activity of all the users solving all the problems is modeled alike without any regard to individual user differences and individual problem complexity.
+As a result modeling is done in the same way for all users solving all problems. No special attention is given to individual user differences and individual problem complexity.
 One of the ways to overcome these shortcomings is an attempt to create a [[CUMULATE parametrized asymptotic knowledge assessment|parameterizable]] version of this algorithm.

@@ Line 22: / Line 22: @@
 The major drawback of the above [[CUMULATE asymptotic knowledge assessment|asymptotic knowledge assessment]] algorithm is that it is intended to be used as ''one-fits-all'' method not suitable for parametrization. Namely:
 * the initial knowledge level (''Ko'') can only start from 0
-* the speed of knowledge growth cannot be adjusted (slow for hard concepts, fast for easy concepts)
+* the speed of knowledge growth cannot be adjusted (e.g. slow for hard concepts, fast for easy concepts)
 * problem repetition penalty is not adjustable as well
 As a result activity of all the users solving all the problems is modeled alike without any regard to individual user differences and individual problem complexity.

@@ Line 26: / Line 26: @@
 As a result activity of all the users solving all the problems is modeled alike without any regard to individual user differences and individual problem complexity.
-One of the ways to overcome these shortcomings is an attempt to create a parameterizable version of this algorithm.
+One of the ways to overcome these shortcomings is an attempt to create a [[CUMULATE parametrized asymptotic knowledge assessment|parameterizable]] version of this algorithm.
 = Contacts =
 [[User:Myudelson | Michael V. Yudelson]]

← Older revision		Revision as of 20:23, 8 April 2009
Line 27:		Line 27:

	One of the ways to overcome these shortcomings is an attempt to create a parameterizable version of this algorithm.		One of the ways to overcome these shortcomings is an attempt to create a parameterizable version of this algorithm.
		+
		+	= Contacts =
		+	[[User:Myudelson \| Michael V. Yudelson]]

← Older revision		Revision as of 20:23, 8 April 2009
Line 18:		Line 18:
	[[Image:CUMULATE asymptotic knowledge assessment - knowledge growth.png]]		[[Image:CUMULATE asymptotic knowledge assessment - knowledge growth.png]]
	<br/>([http://chart.apis.google.com/chart?cht=lxy&chs=300x215&chd=t:0,10,20,30,40,50,60,70,80,90,100\|0,42,56,72,79,83,85,87,88,90,92&chco=24588E&chxt=x,y&chxl=1:\|0\|.2\|.4\|.6\|.8\|1\|0:\|0\|1\|2\|3\|4\|5\|6\|7\|8\|9\|10&chm=o,24588E,0,-1,10&chg=10,20&chtt=Growth+of+knowledge+level+vs.\|number+of+successful+attempts alternatively] via [http://code.google.com/apis/chart/ Google Chart API])		<br/>([http://chart.apis.google.com/chart?cht=lxy&chs=300x215&chd=t:0,10,20,30,40,50,60,70,80,90,100\|0,42,56,72,79,83,85,87,88,90,92&chco=24588E&chxt=x,y&chxl=1:\|0\|.2\|.4\|.6\|.8\|1\|0:\|0\|1\|2\|3\|4\|5\|6\|7\|8\|9\|10&chm=o,24588E,0,-1,10&chg=10,20&chtt=Growth+of+knowledge+level+vs.\|number+of+successful+attempts alternatively] via [http://code.google.com/apis/chart/ Google Chart API])
		+
		+	=Criticism=
		+	The major drawback of the above [[CUMULATE asymptotic knowledge assessment\|asymptotic knowledge assessment]] algorithm is that it is intended to be used as ''one-fits-all'' method not suitable for parametrization. Namely:
		+	* the initial knowledge level (''Ko'') can only start from 0
		+	* the speed of knowledge growth cannot be adjusted (slow for hard concepts, fast for easy concepts)
		+	* problem repetition penalty is not adjustable as well
		+	As a result activity of all the users solving all the problems is modeled alike without any regard to individual user differences and individual problem complexity.
		+
		+	One of the ways to overcome these shortcomings is an attempt to create a parameterizable version of this algorithm.

@@ Line 1: / Line 1: @@
 [[CUMULATE asymptotic knowledge assessment|Asymptotic knowledge assessment]] is [[CUMULATE]]'s legacy user modeling algorithm for computing user knowledge with respect to problem-solving.
-==Computation==
+=Computation=
 The formula below is used to update the knowledge levels of concepts (''c'') addressed in a problem (''p''). This formula reflects the following principles.
 * there are several domain concepts (knowledge items, rules, productions) involved in solving a problem; the knowledge of each of them is updated proportionally to the others
@@ Line 13: / Line 13: @@
 * ''<sub>succ</sub>att<sub>p</sub>'' - is a number of successful solutions to problem p prior to current attempt
-==Examples==
+=Examples=
 Below is a graph of concept's knowledge level growth vs. number of successful attempts to apply it in a problem. Every time the concept is applied correctly in a new problem.
 [[Image:CUMULATE asymptotic knowledge assessment - knowledge growth.png]]
 <br/>([http://chart.apis.google.com/chart?cht=lxy&chs=300x215&chd=t:0,10,20,30,40,50,60,70,80,90,100|0,42,56,72,79,83,85,87,88,90,92&chco=24588E&chxt=x,y&chxl=1:|0|.2|.4|.6|.8|1|0:|0|1|2|3|4|5|6|7|8|9|10&chm=o,24588E,0,-1,10&chg=10,20&chtt=Growth+of+knowledge+level+vs.|number+of+successful+attempts alternatively] via [http://code.google.com/apis/chart/ Google Chart API])

← Older revision		Revision as of 20:17, 8 April 2009
Line 17:		Line 17:

	[[Image:CUMULATE asymptotic knowledge assessment - knowledge growth.png]]		[[Image:CUMULATE asymptotic knowledge assessment - knowledge growth.png]]
−	<br/>([http://chart.apis.google.com/chart?cht=lxy&chs=300x215&chd=t:0,10,20,30,40,50,60,70,80,90,100\|0,42,56,72,79,83,85,87,88,90,92&chco=24588E&chxt=x,y&chxl=1:\|0\|.2\|.4\|.6\|.8\|1\|0:\|0\|1\|2\|3\|4\|5\|6\|7\|8\|9\|10&chm=o,24588E,0,-1,10&chg=10,20&chtt=Growth+of+knowledge+level+vs.\|number+of+successful+attempts alternatively] via [~~Google Chart API\|~~http://code.google.com/apis/chart/])	+	<br/>([http://chart.apis.google.com/chart?cht=lxy&chs=300x215&chd=t:0,10,20,30,40,50,60,70,80,90,100\|0,42,56,72,79,83,85,87,88,90,92&chco=24588E&chxt=x,y&chxl=1:\|0\|.2\|.4\|.6\|.8\|1\|0:\|0\|1\|2\|3\|4\|5\|6\|7\|8\|9\|10&chm=o,24588E,0,-1,10&chg=10,20&chtt=Growth+of+knowledge+level+vs.\|number+of+successful+attempts alternatively] via [http://code.google.com/apis/chart/ Google Chart API])

← Older revision		Revision as of 20:16, 8 April 2009
Line 17:		Line 17:

	[[Image:CUMULATE asymptotic knowledge assessment - knowledge growth.png]]		[[Image:CUMULATE asymptotic knowledge assessment - knowledge growth.png]]
−	<br/>([http://chart.apis.google.com/chart?cht=lxy&chs=300x215&chd=t:0,10,20,30,40,50,60,70,80,90,100\|0,42,56,72,79,83,85,87,88,90,92&chco=24588E&chxt=x,y&chxl=1:\|0\|.2\|.4\|.6\|.8\|1\|0:\|0\|1\|2\|3\|4\|5\|6\|7\|8\|9\|10&chm=o,24588E,0,-1,10&chg=10,20&chtt=Growth+of+knowledge+level+vs.\|number+of+successful+attempts alternatively] via Google Chart API)	+	<br/>([http://chart.apis.google.com/chart?cht=lxy&chs=300x215&chd=t:0,10,20,30,40,50,60,70,80,90,100\|0,42,56,72,79,83,85,87,88,90,92&chco=24588E&chxt=x,y&chxl=1:\|0\|.2\|.4\|.6\|.8\|1\|0:\|0\|1\|2\|3\|4\|5\|6\|7\|8\|9\|10&chm=o,24588E,0,-1,10&chg=10,20&chtt=Growth+of+knowledge+level+vs.\|number+of+successful+attempts alternatively] via [Google Chart API\|http://code.google.com/apis/chart/])