{"id":13688631,"url":"https://github.com/nbro/understanding-math","last_synced_at":"2026-02-01T04:31:58.816Z","repository":{"id":39007539,"uuid":"67298048","full_name":"nbro/understanding-math","owner":"nbro","description":"Links to resources talking about how to learn \u0026 understand mathematics, and mathematical language, terminology and notation.","archived":false,"fork":false,"pushed_at":"2024-11-22T13:03:17.000Z","size":81,"stargazers_count":1169,"open_issues_count":2,"forks_count":96,"subscribers_count":29,"default_branch":"master","last_synced_at":"2026-01-04T09:29:23.489Z","etag":null,"topics":["links","mathematics","understanding"],"latest_commit_sha":null,"homepage":"","language":null,"has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/nbro.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null,"zenodo":null}},"created_at":"2016-09-03T15:44:23.000Z","updated_at":"2026-01-03T20:12:32.000Z","dependencies_parsed_at":"2023-02-01T02:45:14.187Z","dependency_job_id":"a016bc36-3810-4475-80ea-523e01f0d397","html_url":"https://github.com/nbro/understanding-math","commit_stats":null,"previous_names":["nelson-brochado/understanding-math"],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/nbro/understanding-math","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/nbro%2Funderstanding-math","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/nbro%2Funderstanding-math/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/nbro%2Funderstanding-math/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/nbro%2Funderstanding-math/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/nbro","download_url":"https://codeload.github.com/nbro/understanding-math/tar.gz/refs/heads/master","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/nbro%2Funderstanding-math/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":28967917,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-02-01T03:46:10.227Z","status":"ssl_error","status_checked_at":"2026-02-01T03:46:01.693Z","response_time":56,"last_error":"SSL_connect returned=1 errno=0 peeraddr=140.82.121.5:443 state=error: unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["links","mathematics","understanding"],"created_at":"2024-08-02T15:01:18.158Z","updated_at":"2026-02-01T04:31:58.802Z","avatar_url":"https://github.com/nbro.png","language":null,"readme":"# Understanding Mathematics [![Awesome](https://cdn.rawgit.com/sindresorhus/awesome/d7305f38d29fed78fa85652e3a63e154dd8e8829/media/badge.svg)](https://github.com/sindresorhus/awesome)\n\n## Articles\n\n- [Understanding Mathematics](http://www.math.utah.edu/~pa/math.html), a study guide by [Peter Alfeld](http://www.math.utah.edu/~pa/)\n- [How to Develop a Mindset for Math](https://betterexplained.com/articles/how-to-develop-a-mindset-for-math/) at [BetterExplained](https://betterexplained.com)\n- [Understanding Math Concepts](https://allkindsofminds.org/understanding-math-concepts/) at [AllKindsOfMinds](http://www.allkindsofminds.org/)\n- [What is conceptual understanding?](https://web.archive.org/web/20221218055631/https://www.maa.org/external_archive/devlin/devlin_09_07.html) by Keith Devlin\n- [Learning to Learn: Math Abstraction](https://betterexplained.com/articles/learning-to-learn-math-abstraction/) at [BetterExplained](https://betterexplained.com/)\n- [How to study math](http://tutorial.math.lamar.edu/Extras/StudyMath/HowToStudyMath.aspx) by [Paul](http://tutorial.math.lamar.edu/)\n\n\n## Papers\n\n- [Teaching Mathematics for Understanding](http://ptgmedia.pearsoncmg.com/imprint_downloads/merrill_professional/Van_de_Walle_9780132824828.pdf) by Van De Walle\n- [Can We Make Mathematics Intelligible?](https://www.jstor.org/stable/2321471) (1981) by R. P. Boas\n- [A Mathematician's Lament](https://web.archive.org/web/20201210045725/https://www.maa.org/external_archive/devlin/LockhartsLament.pdf) by Paul Lockhart\n- [How to Survive Your College Math Class (and Take Home Something of Value)](http://www.math.clemson.edu/~mjs/courses/misc/study.pdf) by Matthew Saltzman and Marie Coffin\n- [Mathematics, morally](https://eugeniacheng.com/wp-content/uploads/2017/02/cheng-morality.pdf) by Eugenia Cheng\n\n\n## Books\n\n- [How to Solve It: A New Aspect of Mathematical Method](https://www.amazon.com/How-Solve-Mathematical-Princeton-Science/dp/069116407X/ref=dp_ob_title_bk) by George Polya\n- [Measurement](http://www.hup.harvard.edu/catalog.php?isbn=9780674284388) by Paul Lockhart\n- [A Mathematician's Lament](http://www.goodreads.com/book/show/6232657-a-mathematician-s-lament) by Paul Lockhart\n- [The Art and Craft of Problem Solving](https://kheavan.files.wordpress.com/2010/06/paul-zeitz-author-the-art-and-craft-of-problem-solving-2edwiley20060471789011.pdf) by Paul Zeitz\n\n\n## Videos\n\n- [Mathematics - The Language of the Universe](https://www.youtube.com/watch?v=S5LuCwZ0bpg)\n- [The World of Mathematical Reality](https://www.youtube.com/watch?v=V1gT2f3Fe44) by Paul Lockhart\n- [Paul Lockhart teaching Go](https://www.youtube.com/watch?v=vWya5fKwZ38) by Chaelim \"Addy\" Kim\n- [Five Principles of Extraordinary Math Teaching](https://www.youtube.com/watch?v=ytVneQUA5-c) TEDx talk by Dan Finkel\n\n\n## Online Questions\n\n- [How to study math to really understand it and have a healthy lifestyle with free time?](http://math.stackexchange.com/questions/44704/how-to-study-math-to-really-understand-it-and-have-a-healthy-lifestyle-with-free) at [Math StackExchange](http://math.stackexchange.com/)\n\n---\n\n### Mathematical Language\n\nLinks to resources talking about \"the mathematical language\" and how to overcome problems encountered when _reading, writing, interpreting and listening to mathematics_.\n\n\n#### Articles\n\n- [Language of mathematics](https://en.wikipedia.org/wiki/Language_of_mathematics) at Wikipedia\n- [Mathematical Words: Origins and Sources](http://web.archive.org/web/20191204152854/http://www.economics.soton.ac.uk/staff/aldrich/Mathematical%20Words.htm) by John Aldrich\n- [Communicating in the Language of Mathematics](https://web.archive.org/web/20191202000933/http://iae-pedia.org/Communicating_in_the_Language_of_Mathematics) by David Moursund and edited by Dick Ricketts\n- [How to write mathematics clearly](https://workinginuncertainty.co.uk/clearmaths.shtml) by Matthew Leitch\n- [How to understand math formulas](http://www.intmath.com/blog/how-to-understand-math-formulas) at [Interactive Mathematics](http://www.intmath.com/)\n- [The symbolic language of math](https://abstractmath.org/MM/MMSymLang.htm) by Charles Wells\n\n\n#### Papers\n\n- [The Language and Grammar of Mathematics](https://www.dpmms.cam.ac.uk/~wtg10/grammar.pdf) by Timothy Gowers\n- [Reading Mathematics](https://pi.math.cornell.edu/~hubbard/readingmath.pdf) by [John Hamal Hubbard](https://pi.math.cornell.edu/~hubbard/)\n- [A Guide to Writing Mathematics](http://web.cs.ucdavis.edu/~amenta/w10/writingman.pdf) by Dr. Kevin P. Lee\n- [Mathematics and the Language of Nature](http://www.fdavidpeat.com/bibliography/essays/maths.htm) by F. David Peat\n- [Learning the Language of Mathematics](http://wac.colostate.edu/llad/v4n1/jamison.pdf) by Robert E. Jamison\n\n\n#### Books\n\n- [Handbook for Spoken Mathematics](https://archive.org/details/handbook-for-spoken-mathematics-larrys-s/mode/2up) by Lawrence A. Chang et al.\n- [A Handbook of Mathematical Discourse](https://abstractmath.org/Books/handbkhyper.pdf) by Charles Wells\n\n\n#### Videos\n\n- [Math isn't hard, it's a language](https://www.youtube.com/watch?v=V6yixyiJcos) TEDx talk by Randy Palisoc\n\n---\n\n### Mathematical Notation \u0026 Terminology\n\n#### Articles\n\n- [History of mathematical notation](https://en.wikipedia.org/wiki/History_of_mathematical_notation) at Wikipedia\n- [Mathematical and scientific symbols](http://www.uefap.com/speaking/symbols/symbols.htm) at [http://www.uefap.com/](http://www.uefap.com/)\n- [LaTeX Math Symbols](https://web.archive.org/web/20190423203742/http://www-ph.postech.ac.kr/~bimin/Latex.htm) prepared by L. Kocbach (on the basis of [another document](https://web.archive.org/web/20190810123256/http://web.ift.uib.no/Fysisk/Teori/KURS/WRK/TeX/latexsource.html) by David Carlisle, Manchester University)\n\n##### Wikipedia\n\n- [Statistics synonyms](https://en.wikipedia.org/wiki/Dependent_and_independent_variables)\n- [LaTeX/Mathematics](https://en.wikibooks.org/wiki/LaTeX/Mathematics)\n\n###### Symbols\n\n- [List of mathematical symbols by subject](https://en.wikipedia.org/wiki/List_of_mathematical_symbols_by_subject)\n- [List of mathematical constants](https://en.wikipedia.org/wiki/List_of_mathematical_constants) \n- [List of mathematical symbols](https://en.wikipedia.org/wiki/List_of_mathematical_symbols)\n- [Mathematical operators and symbols in Unicode](https://en.wikipedia.org/wiki/Mathematical_operators_and_symbols_in_Unicode)\n\n###### Notation\n\n- [Mathematical notation](https://en.wikipedia.org/wiki/Mathematical_notation)\n- [Mathematical notation (category)](https://en.wikipedia.org/wiki/Category:Mathematical_notation)\n- [Set notation](https://en.wikipedia.org/wiki/Set_notation)\n- [Notation in probability and statistics](https://en.wikipedia.org/wiki/Notation_in_probability_and_statistics)\n- [Notation for differentiation](https://en.wikipedia.org/wiki/Notation_for_differentiation)\n\n###### Glossaries\n\n- [Glossary of probability and statistics](https://en.wikipedia.org/wiki/Glossary_of_probability_and_statistics) \n- [Glossary of calculus](https://en.wikipedia.org/wiki/Glossary_of_calculus)\n- [Glossary of set theory](https://en.wikipedia.org/wiki/Glossary_of_set_theory)\n- [Glossary of linear algebra](https://en.wikipedia.org/wiki/Glossary_of_linear_algebra)\n- [Glossary of graph theory](https://en.wikipedia.org/wiki/Glossary_of_graph_theory)\n- [Glossary of game theory](https://en.wikipedia.org/wiki/Glossary_of_game_theory)\n- [Glossary of mathematical symbols](https://en.wikipedia.org/wiki/Glossary_of_mathematical_symbols)\n- [Glossaries of mathematics](https://en.wikipedia.org/wiki/Category:Glossaries_of_mathematics) \n\n\n#### Papers\n\n- [Mathematical Operators](http://unicode.org/charts/PDF/U2200.pdf) at [http://unicode.org](http://unicode.org)\n- [Some Common Mathematical Symbols and Abbreviations (with History)](https://www.math.ucdavis.edu/~anne/WQ2007/mat67-Common_Math_Symbols.pdf) by Isaiah Lankham, Bruno Nachtergaele, Anne Schilling\n\n\n#### Books\n\n- [Mathematical Notation: A Guide for Engineers and Scientists](http://www.amazon.com/Mathematical-Notation-Guide-Engineers-Scientists/dp/1466230525/ref=sr_1_1?s=books\u0026ie=UTF8\u0026qid=1355100927\u0026sr=1-1\u0026keywords=mathematical+notation) by Edward R. Scheinerman\n- [The Cambridge Dictionary of Statistics](http://www.stewartschultz.com/statistics/books/Cambridge%20Dictionary%20Statistics%204th.pdf) by B. S. Everitt and Anders Skrondal\n\n\n#### Videos\n\n- [Mathematical Notation - The Language of Mathematics](https://www.youtube.com/watch?v=Y-c_CgxxPF0) by Sarada Herke\n\n\n#### Slides\n\n- [Maths in Lectures: Understanding the Notation](https://www.adelaide.edu.au/mathslearning/ua/media/210/MathsNotation2013.pdf) by Dr. David Butler\n\n\n#### Online Questions\n\n- [All questions about mathematical **notation** _sorted in descending order of votes_](http://math.stackexchange.com/questions/tagged/notation?sort=votes\u0026pageSize=30) at [Math StackExchange](http://math.stackexchange.com)\n- [All questions about mathematical **notation** _sorted in descending order of votes_](http://stackoverflow.com/questions/tagged/mathematical-notation?sort=votes\u0026pageSize=50)  at [Stack Overflow](http://stackoverflow.com/)\n- [All questions about mathematical **terminology** _sorted in descending order of votes_](http://math.stackexchange.com/questions/tagged/terminology?sort=votes\u0026pageSize=30) at [Math StackExchange](http://math.stackexchange.com)\n- [Where can I learn about mathematical notation?](http://math.stackexchange.com/questions/70080/where-can-i-learn-about-mathematical-notation) at [Math StackExchange](http://math.stackexchange.com)\n- [How to become comfortable with mathematical notation?](http://ask.metafilter.com/117088/How-to-become-comfortable-with-mathematical-notation) at [Ask MetaFilter](http://ask.metafilter.com/)\n- [What is the status of generating LaTeX from handwriting](http://tex.stackexchange.com/questions/1443/what-is-the-status-of-generating-latex-from-handwriting-i-e-ocr) at [Tex StackExchange](http://tex.stackexchange.com/)\n\n\n#### Websites\n\n- [Wolfram Alpha](http://www.wolframalpha.com/)\n- [Math Words](http://www.mathwords.com/)\n\n\n#### Github\n\n- [math-as-code](https://github.com/Jam3/math-as-code) by Jam3 (Github's repository)\n\n---\n\n### Mathematical Proofs\n\n#### Articles\n\n- [Some Help on Reading Mathematics and Creating Proofs](http://www.math.ucsd.edu/~ebender/proofs.html)\n","funding_links":[],"categories":["Others"],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fnbro%2Funderstanding-math","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fnbro%2Funderstanding-math","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fnbro%2Funderstanding-math/lists"}