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@online{CTANPackageEnumitem,
title = {{CTAN}: Package enumitem},
url = {https://ctan.org/pkg/enumitem},
urldate = {2022-01-08},
}
@book{alfredssonMatematik5000Kurs2021,
title = {Matematik 5000+ Kurs 1b Lärobok Digital.},
isbn = {978-91-27-45820-8},
shorttitle = {Matematik 5000+ Kurs 1b L?},
author = {Alfredsson, Lena and Heikne, Hans},
date = {2021},
note = {{OCLC}: 1251871262},
}
@video{MasterYourSmartphone,
title = {Master Your Smartphone Camera Settings using {FiLMiC} Pro (or other app) {\textbar} Cinematic Video Tutorial},
url = {https://www.youtube.com/watch?v=egW9kO9ZfyI},
abstract = {Shoot more professional, more cinematic video with your {iPhone} if you understand these camera settings. Learn how to use {ISO}, Frame Rate, Shutter Speed, Aper...},
urldate = {2022-01-04},
langid = {british},
}
@video{MathMotivation,
title = {Math Motivation},
url = {https://www.youtube.com/watch?v=IOY6xMq9j6c},
abstract = {Neil Degrasse Tyson, Bill Nye, Bill Gates, and John Urschel give inspiring and motivational comments about mathematics.},
urldate = {2022-01-02},
langid = {british},
}
@video{StruggleSuccessMaryam,
title = {Struggle to Success - Maryam Mirzakhani},
url = {https://www.youtube.com/watch?v=58dEudf3zIo},
abstract = {Success comes easily to the smart and talented. Or does it?Our second video in the series! In this video series, Struggle to Success, we take a look at a suc...},
urldate = {2022-01-02},
langid = {british},
}
@video{CollatzConjectureColor,
title = {Collatz Conjecture in Color - Numberphile},
url = {https://www.youtube.com/watch?v=LqKpkdRRLZw},
abstract = {The Great Courses Plus (free trial): http://ow.ly/{RqOr}309wT7vThis video features Alex Bellos. More info and links in full description.Extra footage with Alex...},
urldate = {2022-01-02},
langid = {british},
keywords = {{YouTube}-numberphile},
}
@video{UNCRACKABLECollatzConjecture,
title = {{UNCRACKABLE}? The Collatz Conjecture - Numberphile},
url = {https://www.youtube.com/watch?v=5mFpVDpKX70},
shorttitle = {{UNCRACKABLE}?},
abstract = {Catch David on the Numberphile podcast: https://youtu.be/9y1BGvnTyQAProfessor David Eisenbud on the infamous Collatz Conjecture, a simple problem that mathem...},
urldate = {2022-01-02},
langid = {british},
keywords = {{YouTube}-numberphile},
}
@video{SimplestMathProblem,
title = {The Simplest Math Problem No One Can Solve - Collatz Conjecture},
url = {https://www.youtube.com/watch?v=094y1Z2wpJg},
abstract = {The Collatz Conjecture is the simplest math problem no one can solve — it is easy enough for almost anyone to understand but notoriously difficult to solve. ...},
urldate = {2022-01-02},
langid = {british},
}
@inreference{CollatzConjecture2022,
title = {Collatz conjecture},
rights = {Creative Commons Attribution-{ShareAlike} License},
url = {https://en.wikipedia.org/w/index.php?title=Collatz_conjecture&oldid=1063167804},
abstract = {The Collatz conjecture in mathematics asks whether repeating certain simple arithmetic operations will eventually transform every positive integer into one. It concerns sequences of integers in which each term is obtained from the previous term as follows: if the previous term is even, the next term is one half of the previous term. If the previous term is odd, the next term is 3 times the previous term plus 1. The conjecture is that these sequences always reach 1, no matter which positive integer is chosen to start the sequence.
The conjecture is named after Lothar Collatz, who introduced the idea in 1937, two years after receiving his doctorate. It is also known as the 3n + 1 problem, the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse), or the Syracuse problem.
The sequence of numbers involved is sometimes referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), or as wondrous numbers.Paul Erdős said about the Collatz conjecture: "Mathematics may not be ready for such problems." He also offered {US}\$500 for its solution. Jeffrey Lagarias stated in 2010 that the Collatz conjecture "is an extraordinarily difficult problem, completely out of reach of present day mathematics."},
booktitle = {Wikipedia},
urldate = {2022-01-02},
date = {2022-01-01},
langid = {english},
note = {Page Version {ID}: 1063167804},
}
@book{awadaMathematicsAnalysisApproaches2019,
location = {Oxford, United Kingdom},
title = {Mathematics: analysis and approaches. Standard level. Course companion},
isbn = {978-0-19-842711-7 978-0-19-842710-0},
series = {Oxford {IB} diploma programme},
shorttitle = {Mathematics},
pagetotal = {725},
publisher = {Oxford University Press},
author = {Awada, Natasha},
date = {2019},
note = {{OCLC}: on1084354192},
keywords = {Mathematics},
}
@article{tedreTeachingMachineLearning2021,
title = {Teaching Machine Learning in K–12 Classroom: Pedagogical and Technological Trajectories for Artificial Intelligence Education},
volume = {9},
issn = {2169-3536},
doi = {10.1109/ACCESS.2021.3097962},
shorttitle = {Teaching Machine Learning in K–12 Classroom},
abstract = {Over the past decades, numerous practical applications of machine learning techniques have shown the potential of {AI}-driven and data-driven approaches in a large number of computing fields. Machine learning is increasingly included in computing curricula in higher education, and a quickly growing number of initiatives are expanding it in K–12 computing education, too. As machine learning enters K–12 computing education, understanding how intuition and agency in the context of such systems is developed becomes a key research area. But as schools and teachers are already struggling with integrating traditional computational thinking and traditional artificial intelligence into school curricula, understanding the challenges behind teaching machine learning in K–12 is an even more daunting challenge for computing education research. Despite the central position of machine learning and {AI} in the field of modern computing, the computing education research body of literature contains remarkably few studies of how people learn to train, test, improve, and deploy machine learning systems. This is especially true of the K–12 curriculum space. This article charts the emerging trajectories in educational practice, theory, and technology related to teaching machine learning in K–12 education. The article situates the existing work in the context of computing education in general, and describes some differences that K–12 computing educators should take into account when facing this challenge. The article focuses on key aspects of the paradigm shift that will be required in order to successfully integrate machine learning into the broader K–12 computing curricula. A crucial step is abandoning the belief that rule-based “traditional” programming is a central aspect and building block in developing next generation computational thinking.},
pages = {110558--110572},
journaltitle = {{IEEE} Access},
author = {Tedre, Matti and Toivonen, Tapani and Kahila, Juho and Vartiainen, Henriikka and Valtonen, Teemu and Jormanainen, Ilkka and Pears, Arnold},
date = {2021},
keywords = {artificial intelligence, Automation, computational thinking, computing education, Education, K-12, Machine learning, pedagogy, Programming profession, school, Task analysis, Technological innovation, Terminology},
}
@book{raynerCompleteMathematicsCambridge2018,
location = {Oxford},
edition = {Fifth edition},
title = {Complete mathematics for Cambridge {IGCSE}: Extended},
isbn = {978-0-19-842507-6},
series = {Aspire succeed progress},
shorttitle = {Complete mathematics for Cambridge {IGCSE}},
pagetotal = {493},
publisher = {Oxford University Press},
author = {Rayner, David},
date = {2018},
keywords = {Mathematics, International General Certificate of Secondary Education, Problems, exercises, etc, Study guides},
}
@misc{MathleticsInstantWorkbooks2021,
title = {Mathletics Instant Workbooks},
publisher = {3pLearning},
date = {2021-02-21},
keywords = {worksheets},
}
@online{SimplificationSymPyDocumentation,
title = {Simplification — {SymPy} 1.8 documentation},
url = {https://docs.sympy.org/latest/tutorial/simplification.html#powers},
urldate = {2021-09-11},
keywords = {python},
}
@misc{0034IB,
title = {0034-{IB}-},
}
@online{TeX,
title = {{TeX}},
url = {https://en.wikipedia.org/wiki/TeX},
titleaddon = {{TeX}},
urldate = {2021-07-07},
keywords = {{TeX}, wikipedia},
}
@book{rondieMathematicsAnalysisApproaches2019,
location = {Oxford},
title = {Mathematics: analysis and approaches. Higher level},
isbn = {978-0-19-842717-9},
series = {Oxford {IB} diploma programme},
shorttitle = {Mathematics},
pagetotal = {843},
publisher = {Oxford University Press},
author = {Rondie, Paul La},
date = {2019},
note = {{OCLC}: on1099411619},
keywords = {mathematics},
}
@book{rainvilleElementaryDifferentialEquations1997,
location = {Upper Saddle River, {NJ}},
edition = {8th ed},
title = {Elementary differential equations},
isbn = {978-0-13-508011-5},
pagetotal = {530},
publisher = {Prentice Hall},
author = {Rainville, Earl David and Bedient, Phillip Edward and Bedient, Richard E.},
date = {1997},
keywords = {{DifferentialEquations}},
}
@misc{knuthAllQuestionsAnswered2001,
title = {All Questions Answered by Donal Knuth},
url = {https://www.ams.org/notices/200203/fea-knuth.pdf},
abstract = {On October 5, 2001, at the Technische Universität München, Donald Knuth presented a lecture entitled “All Questions Answered”. The lecture drew an au- dience of around 350 people. This article contains the text of the lecture, edited by Notices senior writer and deputy editor Allyn Jackson.},
editora = {Knuth, Donald},
editoratype = {collaborator},
date = {2001-10-05},
keywords = {{TeX}},
file = {All Questions Answered by Donald Knuth:/Users/markolson/Zotero/storage/6657JBZC/fea-knuth.pdf:application/pdf},
}
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@online{GuideManyFlavours,
title = {A Guide to the Many Flavours of {TeX}},
url = {https://www.overleaf.com/learn/latex/Articles/What%27s_in_a_Name%3A_A_Guide_to_the_Many_Flavours_of_TeX},
abstract = {An online {LaTeX} editor that's easy to use. No installation, real-time collaboration, version control, hundreds of {LaTeX} templates, and more.},
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@online{HistoryTeXTeX,
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@online{weissteinDifferential,
title = {Differential},
rights = {Copyright 1999-2020 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement.},
url = {https://mathworld.wolfram.com/Differential.html},
abstract = {The word differential has several related meaning in mathematics. In the most common context, it means "related to derivatives." So, for example, the portion of calculus dealing with taking derivatives (i.e., differentiation), is known as differential calculus. The word "differential" also has a more technical meaning in the theory of differential k-forms as a so-called one-form.},
type = {Text},
author = {Weisstein, Eric W.},
urldate = {2021-07-06},
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keywords = {{TeX}},
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@online{knuthPreliminaryPreliminaryDescription1977,
title = {Preliminary preliminary description of {TeX}},
url = {https://www.saildart.org/TEXDR.AFT%5B1,DEK%5D1},
author = {Knuth, Donald},
urldate = {2021-07-08},
date = {1977-05-13},
keywords = {{TeX}},
}
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@video{StanfordLectureTeX,
title = {Stanford Lecture: {TeX} For Beginners - Session 1 (February 23, 1981)},
url = {https://www.youtube.com/watch?v=jbrMBOF61e0},
shorttitle = {Stanford Lecture},
abstract = {February 23, 1981Professor Knuth is the Professor Emeritus at Stanford University. Dr. Knuth's classic programming texts include his seminal work The Art of ...},
urldate = {2021-07-08},
langid = {british},
keywords = {{TeX}, {YouTube}},
}
@video{StanfordLectureTeXa,
title = {Stanford Lecture: {TeX} For Beginners - Session 2 (February 24, 1981)},
url = {https://www.youtube.com/watch?v=YRnpzxtdntw},
shorttitle = {Stanford Lecture},
abstract = {February 24, 1981Professor Knuth is the Professor Emeritus at Stanford University. Dr. Knuth's classic programming texts include his seminal work The Art of ...},
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@online{FoRKArchiveBrief,
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url = {http://www.xent.com/FoRK-archive/feb98/0307.html},
urldate = {2021-07-08},
keywords = {{TeX}},
}
@online{LaTeXBasicsWikibooks,
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@book{alfredssonMatematik5000Kurs2019,
title = {Matematik 5000+ Kurs 2c Lärobok Digital.},
isbn = {978-91-27-45660-0},
shorttitle = {Matematik 5000+ Kurs 2c L?},
author = {Alfredsson, Lena and Bodemyr, Sanna and Heikne, Hans},
date = {2019},
note = {{OCLC}: 1088424370},
}
@book{alfredssonMatematik5000Kurs2022,
title = {Matematik 5000+ Kurs 2c Lärobok Upplaga 2022.},
isbn = {978-91-27-46057-7},
shorttitle = {Matematik 5000+ Kurs 2c},
abstract = {Matematik 5000+ {NA}-{TE} ??r inriktad mot naturvetenskapliga och tekniska fr??gest??llningar och f??ljer kurserna i c-sp??ret. Det ??r en revidering av v??r popul??ra serie Matematik 5000 och inneh??ller en m??ngd nyheter. Serien kommer att finnas anpassad till de reviderade ??mnesplanerna som tr??der ikraft juli 2021.},
author = {Alfredsson, Lena and Heikne, Hans and Bodemyr, Sanna},
date = {2022},
note = {{OCLC}: 1240668698},
}
@misc{lennerstadEkvationOchFunktion2014,
title = {Ekvation och funktion},
url = {https://larportalen.skolverket.se/LarportalenAPI/api-v2/document/path/larportalen/material/inriktningar/1-matematik/Grundskola/431_algebra%20åk7-9/7_kommunikationialgebraklassrummet/material/flikmeny/tabA/Artiklar/A7-9_07A_02_Ekvation.docx},
shorttitle = {Ekvation och funktion},
abstract = {Det är vanligt i grundskolan och gymnasiet att elever har svårt att skilja mellan ekvation och funktion. Detta lärandeobjekt handlar om vad de betyder, och i synnerhet skillnaden mellan dem. Föreslagna kritiska aspekter i denna del handlar om ekvationsbegreppet, medan de i fortsättningen handlar mer om funktioner och om sambandet mellan de två begreppen.
En funktion är ett samband, som oftast kan ritas upp som en kurva. Man är intresserad av olika egenskaper för en funktion. En ekvation däremot, är ett påstående, ofta med en obekant som man vill ta reda på - som man vill lösa. Dessa är grundläggande skillnader mellan begreppen på ett konceptuellt plan och kan beskrivas metaforiskt, t.ex. på följande sätt.},
publisher = {Skolverket},
author = {Lennerstad, Håkan and Olteanu, Constanta},
date = {2014-05},
file = {skolverket-A7-9_07A_02_Ekvation.pdf:/Users/markolson/Zotero/storage/ESWC4BK5/skolverket-A7-9_07A_02_Ekvation.pdf:application/pdf},
}
@book{kiselmanMatematiktermerSkolan2008,
location = {Göteborg},
title = {Matematiktermer för skolan},
isbn = {978-91-85143-12-2},
shorttitle = {Matematiktermer f?},
publisher = {Nationellt centrum för matematikutbildning ({NCM}), G??teborgs universitet},
author = {Kiselman, Christer O and Mouwitz, Lars and Britton, Nationellt centrum f??r matematikutbildning, Tom},
date = {2008},
note = {{OCLC}: 489124236},
}
@inreference{Multipel2014,
title = {Multipel},
rights = {Creative Commons Attribution-{ShareAlike} License},
url = {https://sv.wikipedia.org/w/index.php?title=Multipel&oldid=28681368},
abstract = {En multipel är ett tal som kan divideras med ett annat tal ett antal gånger utan rest. Exempelvis 15, 20 eller annan multipel av 5, samt 6, 9 eller annan multipel av 3.},
booktitle = {Wikipedia},
urldate = {2022-01-22},
date = {2014-11-14},
langid = {swedish},
note = {Page Version {ID}: 28681368},
}
@book{alfredssonMatematik5000Kurs2012,
title = {Matematik 5000 Kurs 2b Grön Lärobok - häftad},
isbn = {978-91-27-42364-0},
series = {Matematik 5000},
abstract = {häftad, 2012. Köp boken Matematik 5000 Kurs 2b Grön Lärobok av Lena Alfredsson, Kajsa Bråting, Patrik Erixon, Hans Heikne ({ISBN} 9789127423640) hos Adlibris. Fraktfritt över 229 kr Alltid bra priser och snabb leverans. {\textbar} Adlibris},
pagetotal = {324},
author = {Alfredsson, Lena and Bråtning, Kajsa and Erixon, Patrik and Heikne, Hans},
urldate = {2022-02-06},
date = {2012},
}