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Difference between revisions of "Online mathematics learning resources"

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(Video lectures)
(Video lectures)
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! Resource !! Website !! Topics covered in the video lectures !! Duration of the lectures !! Cost !! Comments on quality and links to reviews !! Computational/conceptual spectrum (scale of 1 to 5, 1 for very computational, 5 for very conceptual)
 
! Resource !! Website !! Topics covered in the video lectures !! Duration of the lectures !! Cost !! Comments on quality and links to reviews !! Computational/conceptual spectrum (scale of 1 to 5, 1 for very computational, 5 for very conceptual)
 
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| [[Khan Academy]] (includes math and other subjects) || [http://www.khanacademy.org khanacademy.org] || Entire school math curriculum plus large parts of the introductory college math curriculum || Generally varies between 5 and 15 minutes || Free || Functional but of mediocre quality. However, the ability to pause and review video lectures, combined with the comprehensive curriculum coverage and integration with worked examples, may make this worthwhile. See reviews [http://math.stackexchange.com/questions/80202/what-does-khan-academy-have-to-offer-depth-rigor here] (add more reviews? Devlin etc. might be too polarizing). || 2, but conceptual explanations may be wrong or misguided due to Khan's lack of subject matter knowledge.
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| [[Khan Academy]] (includes math and other subjects) || [http://www.khanacademy.org khanacademy.org] || Entire school math curriculum plus large parts of the introductory college math curriculum || 5-15 minutes || Free || Functional but of mediocre quality. However, the ability to pause and review video lectures, combined with the comprehensive curriculum coverage and integration with worked examples, may make this worthwhile. See reviews [http://math.stackexchange.com/questions/80202/what-does-khan-academy-have-to-offer-depth-rigor here] (add more reviews? Devlin etc. might be too polarizing). || 2, but conceptual explanations may be wrong or misguided due to Khan's lack of subject matter knowledge.
 
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| [[PatrickJMT]] (only math) || [http://www.patrickjmt.com patrickjmt.com] || Large parts of high school math curriculum and beginning college curriculum, including all of calculus || Generally varies between 5 and 15 minutes || Free, but you can donate to the author || Somewhat better than Khan Academy in terms of the quality of explanation, but no integration with practice exercises. Still very computation-oriented and with very little emphasis on conceptual understanding. (Write a separate review, link to it? Or find reviews) || 1, but conceptual explanations, when offered, are likely to be correct.  
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| [[PatrickJMT]] (only math) || [http://www.patrickjmt.com patrickjmt.com] || Large parts of high school math curriculum and beginning college curriculum, including all of calculus || 5-10 minutes || Free, but you can donate to the author || Somewhat better than Khan Academy in terms of the quality of explanation, but no integration with practice exercises. Still very computation-oriented and with very little emphasis on conceptual understanding. (Write a separate review, link to it? Or find reviews) || 1, but conceptual explanations, when offered, are likely to be correct.  
 
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| [[MIT OpenCourseWare]] (includes math and other subjects, math courses relevant for high schoolers include only calculus-related courses) || [http:/ocw.mit.edu ocw.mit.edu], most relevant subset: [http://ocw.mit.edu/courses/find-by-topic/#cat=mathematics&subcat=calculus calculus courses] || Most relevant for people taking Advanced Placement Calculus (or equivalent) or more advanced courses || Since these are mostly actual lectures delivered in college classes, they are generally about 50 minutes long. || Free || The [http://ocw.mit.edu/resources/res-18-005-highlights-of-calculus-spring-2010/ Highlights of Calculus] course should be the most accessible to high school students since it provides a big picture overview of calculus. (Add links to reviews?) || 3 (?)
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| [[MIT OpenCourseWare]] (includes math and other subjects, math courses relevant for high schoolers include only calculus-related courses) || [http:/ocw.mit.edu ocw.mit.edu], most relevant subset: [http://ocw.mit.edu/courses/find-by-topic/#cat=mathematics&subcat=calculus calculus courses] || Most relevant for people taking Advanced Placement Calculus (or equivalent) or more advanced courses || Since these are mostly actual lectures delivered in college classes, they are generally about 50 minutes long. || Free || Reasonably good videos. The [http://ocw.mit.edu/resources/res-18-005-highlights-of-calculus-spring-2010/ Highlights of Calculus] course should be the most accessible to high school students since it provides a big picture overview of calculus. (Add links to reviews?) || 3 (?)
 
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| [[Center of Math]] (only math) || [http://centerofmath.org/videos/index.html Center of Math videos] || Calculus and multivariable calculus (following textbooks published by them) || 50-70 minutes || The videos are very good for in-depth learning, but their length could be a hindrance to many students. In general, the teachers display considerable conceptual depth. || Free || 4, maybe 5
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| [[Center of Math]] (only math) || [http://centerofmath.org/videos/index.html Center of Math videos] || Calculus and multivariable calculus (following textbooks published by them) || 50-70 minutes || Free || The videos are very good for in-depth learning, but their length could be a hindrance to many students. In general, the teachers display considerable conceptual depth. ||4, maybe 5
 
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| [[Vipul's Classroom]] (only math) (COI disclosure?) || [http://www.youtube.org/user/vipulsclassroom YouTube channel] || Calculus and multvariable calculus (covers only selected topics) || Generally varies between 5 and 20 minutes || Free || Similar to Center of Math, but shorter videos often focus on more specific topics rather than on developing an entire thread. No corresponding book, but related pages at [http://calculus.subwiki.org calculus.subwiki.org] || 4, maybe 5
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| [[Math Doctor Bob]] (only math) || [http://www.mathdoctorbob.org/BasAlg.html Courses (toggle between different course types -- the link goes to basic algebra)] || High school algebra, precalculus, calculus, and multivariable calculus, plus higher math || 5-15 minutes ||  Free || Reasonably good videos. || 3 (?)
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| [[Dr. Chris Tisdell]] (only math) || [http://www.youtube.com/user/DrChrisTisdell YouTube channel] || calculus (integration onward), differential equations, and more advanced math || 10-25 minutes || Free || Reasonably good videos || 3 (?)
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| [[IntegralCALC]] (only math) || [http://integralcalc.pathwright.com/ integralcalc.pathwright.com] || all of calculus || ? || Paid, free trial || Not evaluated || ?
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| [[ThinkWell]] || [http://www.thinkwell.com thinkwell.com] || courses in high school math and calculus || 10-25 minutes || Paid (you can pay ~$150 for a year-long subscription to their video-based course, along with many supplementary materials) || 3, maybe 4
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| [[Vipul's Classroom]] (only math) (COI disclosure?) || [http://www.youtube.org/user/vipulsclassroom YouTube channel] || Calculus and multvariable calculus (covers only selected topics) || 5-20 minutes || Free || Similar to Center of Math, but shorter videos often focus on more specific topics rather than on developing an entire thread. No corresponding book, but related pages at [http://calculus.subwiki.org calculus.subwiki.org] || 4, maybe 5
 
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Revision as of 07:43, 20 October 2013

This page lists a number of online math learning resources.

Video lectures

We list here resources that contain large numbers of video lectures. Note that some of these resources offer videos in other subjects. Comments about quality may not apply to the other subjects.

Resource Website Topics covered in the video lectures Duration of the lectures Cost Comments on quality and links to reviews Computational/conceptual spectrum (scale of 1 to 5, 1 for very computational, 5 for very conceptual)
Khan Academy (includes math and other subjects) khanacademy.org Entire school math curriculum plus large parts of the introductory college math curriculum 5-15 minutes Free Functional but of mediocre quality. However, the ability to pause and review video lectures, combined with the comprehensive curriculum coverage and integration with worked examples, may make this worthwhile. See reviews here (add more reviews? Devlin etc. might be too polarizing). 2, but conceptual explanations may be wrong or misguided due to Khan's lack of subject matter knowledge.
PatrickJMT (only math) patrickjmt.com Large parts of high school math curriculum and beginning college curriculum, including all of calculus 5-10 minutes Free, but you can donate to the author Somewhat better than Khan Academy in terms of the quality of explanation, but no integration with practice exercises. Still very computation-oriented and with very little emphasis on conceptual understanding. (Write a separate review, link to it? Or find reviews) 1, but conceptual explanations, when offered, are likely to be correct.
MIT OpenCourseWare (includes math and other subjects, math courses relevant for high schoolers include only calculus-related courses) [http:/ocw.mit.edu ocw.mit.edu], most relevant subset: calculus courses Most relevant for people taking Advanced Placement Calculus (or equivalent) or more advanced courses Since these are mostly actual lectures delivered in college classes, they are generally about 50 minutes long. Free Reasonably good videos. The Highlights of Calculus course should be the most accessible to high school students since it provides a big picture overview of calculus. (Add links to reviews?) 3 (?)
Center of Math (only math) Center of Math videos Calculus and multivariable calculus (following textbooks published by them) 50-70 minutes Free The videos are very good for in-depth learning, but their length could be a hindrance to many students. In general, the teachers display considerable conceptual depth. 4, maybe 5
Math Doctor Bob (only math) Courses (toggle between different course types -- the link goes to basic algebra) High school algebra, precalculus, calculus, and multivariable calculus, plus higher math 5-15 minutes Free Reasonably good videos. 3 (?)
Dr. Chris Tisdell (only math) YouTube channel calculus (integration onward), differential equations, and more advanced math 10-25 minutes Free Reasonably good videos 3 (?)
IntegralCALC (only math) integralcalc.pathwright.com all of calculus  ? Paid, free trial Not evaluated  ?
ThinkWell thinkwell.com courses in high school math and calculus 10-25 minutes Paid (you can pay ~$150 for a year-long subscription to their video-based course, along with many supplementary materials) 3, maybe 4
Vipul's Classroom (only math) (COI disclosure?) YouTube channel Calculus and multvariable calculus (covers only selected topics) 5-20 minutes Free Similar to Center of Math, but shorter videos often focus on more specific topics rather than on developing an entire thread. No corresponding book, but related pages at calculus.subwiki.org 4, maybe 5