**This wiki is associated with Cognito Mentoring, an advising service for learners run by Jonah Sinick and Vipul Naik. The wiki is very much in beta, so you're likely to find many broken links and incomplete pages. Please be patient with us as we continue to improve our offerings.****Please connect with us to offer feedback on the wiki content.**

# Changes

/* Online practice and diagnostic assessment */

! 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~~Center of Math]] (~~includes ~~only math ~~and other subjects~~) || [http://~~www.khanacademy~~centerofmath.org ~~khanacademy~~/videos/index.~~org~~html Center of Math videos] || ~~Entire school math curriculum plus large parts of the introductory college math curriculum ~~Calculus and multivariable calculus (following textbooks published by them) || ~~5~~50-~~15 ~~70 minutes || Free || ~~Functional but unremarkable~~The videos are very good for in-depth learning. ~~However~~In general, the ~~ability to pause and review video lectures~~teachers exhibit considerable conceptual depth. The videos are long, ~~combined with the comprehensive curriculum coverage ~~and ~~integration with worked examples, may make this worthwhile. See reviews [http://blogs.edweek.org/edweek/edtechresearcher/2012/06/dont_use_khan_academy_without_watching_mmt2k_first.html here], [http://math.stackexchange.com/questions/80202/what-does-khan-academy-have-~~require patience to~~-offer-depth-rigor here], and [http://www.huffingtonpost.com/dr-keith-devlin/khan-academy-good-bad-or-_b_1345925.html here]~~get through || ~~2~~4, ~~but the conceptual explanations are sometimes misguided.~~maybe 5

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| ~~[[PatrickJMT]] ~~Calculus: Single Variable by Robert Ghrist (~~only math~~University of Pennsylvania) on Coursera || [~~http~~https://www.~~patrickjmt~~coursera.~~com patrickjmt~~org/course/calcsing coursera.~~com~~org/course/calcsing] || ~~Large parts of high school math curriculum ~~Most relevant for people taking Advanced Placement Calculus, or who have already taken Advanced Placement Calculus and ~~beginning college curriculum, including all of ~~want to understand calculus somewhat better || ~~5~~10-~~10 ~~20 minutes || Free, but you ~~can donate ~~need to register and enroll to watch the ~~author ~~videos || ~~Somewhat better than Khan Academy in terms of the quality of explanation, but no integration with practice exercises. ~~The videos are ~~very computation-oriented ~~part of a course with quizzes and ~~place little little emphasis ~~course materials. However, some materials may become available only at a particular time of the year because the courses run on ~~conceptual understanding. ~~the academic year timetable || 4 (~~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~~Math Doctor Bob]] (~~includes ~~only math ~~and other subjects, math courses relevant for high schoolers include only calculus-related courses~~) || [http:/~~ocw~~/www.~~mit~~mathdoctorbob.~~edu ocw.mit.edu], most relevant subset: [http:~~org/~~/ocw~~BasAlg.~~mit.edu/courses/find~~html Courses (toggle between different course types -~~by~~-~~topic/#cat=mathematics&subcat=calculus calculus courses~~the link goes to basic algebra)] || ~~Most relevant for people taking Advanced Placement Calculus (or equivalent) or more advanced courses ~~High school algebra, precalculus, calculus, and multivariable calculus, plus higher math || ~~Since these are mostly actual lectures delivered in college classes, they are generally about 50 ~~5-15 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~~MIT OpenCourseWare]] (~~only ~~includes mathand other subjects, math courses relevant for high schoolers include only calculus-related courses) || [http://~~centerofmath~~ocw.~~org~~mit.edu ocw.mit.edu], most relevant subset: [http:/~~videos~~/~~index~~ocw.~~html Center of Math videos~~mit.edu/courses/find-by-topic/#cat=mathematics&subcat=calculus calculus courses] || Most relevant for people taking Advanced Placement Calculus ~~and multivariable calculus ~~(~~following textbooks published by them~~or equivalent) or more advanced courses || Since these are mostly actual lectures delivered in college classes, they are generally about 50~~-70 ~~minutes long. || Free || ~~The videos are very ~~Reasonably good ~~for in~~videos. The [http://ocw.mit.edu/resources/res-~~depth learning, but their length could ~~18-005-highlights-of-calculus-spring-2010/ Highlights of Calculus] course should be ~~a hindrance ~~the most accessible to ~~many ~~high school studentssince it provides a big picture overview of calculus. ~~In general, the teachers display considerable conceptual depth. ~~(Add links to reviews?) ||~~4, maybe 5~~3 (?)

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| [[~~Math Doctor Bob~~Vipul's Classroom]] (only math) (COI disclosure?) || [http://www.~~mathdoctorbob~~youtube.~~org~~com/~~BasAlg.html Courses ~~user/vipulsclassroom YouTube channel] || Calculus and multvariable calculus (~~toggle between different course types -~~covers only selected topics) || 5- ~~the link goes ~~20 minutes || Free || Similar to ~~basic algebra~~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 or 5|-| [[Art of Problem Solving]] (only math)(COI disclosure?) || [http://www.artofproblemsolving.com/Videos/ homepage for videos] || ~~High ~~Middle school math and high school algebra~~, precalculus, calculus, ~~and ~~multivariable calculus, plus higher math ~~precalculus. || 5-15 minutes || ~~ ~~Free || ~~Reasonably good ~~Focused on computational methods, but considerable emphasis on understanding the computational processes and why they work. The videosare synced with the AoPS books and courses, so you can learn the most from the videos by also buying the books. You can also use the videos to get a sense of whether you would like to try the AoPS courses. || ~~3 ~~4 or 5 ''relative to the grade level'' (~~?~~i.e., not as conceptual as the other resources, but highly conceptual relative to the grade level of the audience).

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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~~Thinkwell]] ~~(only math) ~~|| [http://~~integralcalc~~www.~~pathwright~~thinkwell.com~~/ integralcalc.pathwright~~thinkwell.com] || ~~all of ~~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, ~~free trial ~~along with many supplementary materials) || ~~Not evaluated ~~Lectures are accompanied by summaries appearing on the side, that help with effective learning. We would recommend this highly if it were not for the cost. || ~~?~~3, maybe 4

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| [[~~ThinkWell~~Khan Academy]] (includes math and other subjects) || [http://www.~~thinkwell~~khanacademy.org khanacademy.org] || Entire school math curriculum plus large parts of the introductory college math curriculum || 5-15 minutes || Free || Functional but unremarkable. 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://blogs.edweek.org/edweek/edtechresearcher/2012/06/dont_use_khan_academy_without_watching_mmt2k_first.html here], [http://math.stackexchange.com ~~thinkwell~~/questions/80202/what-does-khan-academy-have-to-offer-depth-rigor here], and [http://www.huffingtonpost.com/dr-keith-devlin/khan-academy-good-bad-or-_b_1345925.html here] || ~~courses in ~~2, but the conceptual explanations are sometimes misguided.|-| [[PatrickJMT]] (only math) || [http://www.patrickjmt.com patrickjmt.com] || Large parts of high school math curriculum and beginning college curriculum, including all of calculus || ~~10~~5-~~25 ~~10 minutes || ~~Paid (~~Free, but you can ~~pay ~$150 for a year-long subscription ~~donate to ~~their video-based course, along with many supplementary materials) ~~the author || ~~Lectures are accompanied by summaries appearing on ~~Somewhat better than Khan Academy in terms of the ~~side~~quality of explanation, ~~that help ~~but no integration with ~~effective learning~~practice exercises. ~~Highly recommended if it were not for the cost~~The videos are very computation-oriented and place little emphasis on conceptual understanding. (Write a separate review, link to it? Or find reviews) || ~~3~~1, ~~maybe 4~~but conceptual explanations, when offered, are likely to be correct.

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| [[~~Vipul's Classroom~~IntegralCALC]] (only math~~) (COI disclosure?~~) || [http://~~www~~integralcalc.~~youtube~~pathwright.~~org~~com/~~user/vipulsclassroom YouTube channel~~integralcalc.pathwright.com] || ~~Calculus and multvariable ~~all of calculus || ? || Paid, free trial || Not evaluated || ? |} ===Our top recommendations=== We recommend the following based on the kind of learner you are: {| class="sortable" border="1"! Type of learner and stage !! Our top recommendation !! Supplementary resources|-| Middle school or early high school student (~~covers only selected topics~~grades 6-9) who is reasonably good at school math but has not explored math much beyond school and wants to learn algebra or precalculus. || ~~5-20 minutes ~~Start with the '''Art of Problem Solving''' videos (free). If you like them, consider buying the AoPS books and enrolling in the courses (costs money, but not a lot). See our [[algebra learning recommendations]] for more. || ~~Free ~~Khan Academy and PatrickJMT also cover many of the topics, but less well. We would not recommend these as primary resources, but you can use them to supplement learning for topics where you are unable to find AoPS videos. ThinkWell also has videos, but these are not free.|-| ~~Similar ~~High school student (grades 10-12) who wants to learn calculus. || Two relatively complete course sets you can consider:<br> (a) The '''Center of Math''' videos (free) offer a strong conceptual foundation in precalculus and calculus. It may be worth buying the textbook (~$15) to supplement the videos.<br>(b) '''Coursera's "Calculus: Single Variable" course by Robert Ghrist'''. In addition to videos, ~~but shorter ~~you also have course materials that you can use to study.<br>See our [[calculus learning recommendations]] for more. || Three other resources to consider for videos ~~often focus ~~on some subtopics are: '''Vipul's Classroom''' (for a more ~~specific topics rather than on developing an entire thread. No corresponding book~~conceptual version), '''Math Doctor Bob''' (for a reasonable mix of concepts and computational techniques), and '''MIT OpenCourseWare'''.|-| High school student (grades 10-12) who has already learned Advanced Placement (AP) Calculus or equivalent but ~~related pages ~~wants to understand some of the trickier topics of single variable calculus at the level taught in top colleges. || The majority of the calculus playlists at '''Vipul's Classroom''' are specifically designed for people who have already studied calculus at the AP level (or slightly less) and now want to understand it at the level of a college course.<br>See our [[~~http://~~calculuslearning recommendations]] page for more.~~subwiki~~|| We also recommend watching suitable subsets of '''Robert Ghrist's Coursera course''' and the '''Center of Math''' videos.~~org ~~|-| High school student (grades 10-12) who has already learned Advanced Placement (AP) Calculus or equivalent and wants to study multivariable calculus.~~subwiki~~|| Two relatively complete course sets you can consider:<br> (a) The '''Center of Math''' videos (free) offer a strong conceptual foundation in multivariable calculus. It may be worth buying the textbook (~$10) to supplement the videos.<br>(b) '''MIT OpenCourseWare''' multivariable calculus course.~~org] ~~|| ~~4~~'''Math Doctor Bob''' has a set of videos on multivariable calculus.<br>'''Vipul's Classroom''' has playlists dealing with partial derivatives, ~~maybe 5~~gradient vectors, directional derivatives, and other select topics of multivariable calculus.

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| [[Brilliant]] || [http://www.brilliant.org brilliant.org] || Middle school and high school math and calculus, may not comprehensively cover all topics || Free || No, but they may be building it soon || Yes (?) || Yes

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| [[IXL]] || [http://www.ixl.com ixl.com] || Most of school math || about $20/month, but heavy discounts for use in classrooms, with $200/year per classroom of 30 students || ? || Yes ||

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| Varsity Tutors || [http://www.varsitytutors.com varsitytutors.com], practice tests [http://www.varsitytutors.com/practice-tests here] || Many subjects, including mathematics || practice tests are free; there are other resources on the website || || ||

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