Questions tagged [resource-request]

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Multivariable Calculus Project Ideas

Next semester, I am going to teach a small section of advanced high school students a class of Multivariable Calculus (it's about 3-4 students that have completed AP Calculus BC). Multivariable ...
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13 votes
5 answers
1k views

Where can I find public repositories of past math exams?

I'm looking for public repositories/banks of past undergraduate math exams. No solutions necessary. I just want inspiration for writing my own exams and practice exams. It'd be nice to collect links ...
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7 votes
3 answers
465 views

Resources for mathematics for sustainability

I am looking for resources (books, websites, etc.) for mathematics relevant to or in the context of sustainability, broadly construed, at upper secondary or early undergraduate level - so not ...
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10 votes
2 answers
210 views

What is a good math "curriculum" for a mathematically precocious 4-year old?

I am parent to a 4-year-old son who is mathematically precocious. An example of what I mean (since I'm sure guys like Gauss were proving theorems at 4): He multiplies and divides small numbers easily,...
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1 vote
0 answers
171 views

Resource request: 3-4 page review of exponentials and logs

I'm teaching a physics class that has a year of calculus as a prerequisite, but as so often happens, many of my students have forgotten a lot of the much more basic math from earlier classes. In ...
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1 vote
0 answers
68 views

Is there any video lecture series on (UG level) graph theory (might not be specific on any books) but the video/content quality is like that of MIT?

Previously I had asked a question about something similar, but more constrained. But now I ask something more general. I just got hold of the Linear Algebra by Prof Gilbert of MIT and they are just ...
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5 votes
1 answer
277 views

Is there any video lecture series on Graph Theory which uses "Introduction to Graph Theory" by Douglas West? as the text

I am interested in learning graph theory, and from many resources I came to know that Douglas West's Introduction to Graph Theory is a good textbook. But since I am doing self-study, it is at times ...
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0 votes
1 answer
68 views

Pattern and Structure Mathematics Awareness Program (pasmap)

I am looking for a book or any resources related to this book. It is called Pattern and Structure Mathematics Awareness Program (there is a book one and book two). I have tried to order it but it is ...
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1 vote
1 answer
182 views

Mnemonics to correlate the definition of "asymmetric relation" and "antisymmetric relation" with the terms [closed]

The definitions from Kenneth Rosen textbook are as : A relation $R$ on a set $A$ such that for all $a,b ∈ A$ ,if $(a,b) ∈ R$ and $(b,a) ∈ R$,then $a=b$ is called antisymmetric. A relation $R$ on a ...
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0 votes
0 answers
98 views

Which resource(s) to use to learn the following syllabus of discrete structures?

(YES) - included; (NO) - explicitly excluded; as stated from the IOI syllabus(2019); 5.2 Discrete Structures (DS) DS1. Functions, relations, and sets (YES)Functions (surjections, injections, inverses, ...
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3 votes
1 answer
101 views

Resources for Unit Conversions

I am working with a college student who was placed into a pre-college level math class. She's in a unit that covers a lot of unit conversions (simple ones, like 5 km = ___ miles or 3 yards = ___ cm ). ...
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2 votes
2 answers
134 views

Good resources on matrix equations

I’m searching for an online resource, preferably free. I refer to equations such as $$A^3 -A+ I=0$$ Or even something like: $${A^t}^2+A^2=I$$ I know that normal factorization methods don’t work as ...
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  • 307
1 vote
2 answers
195 views

What are the resources to learn prerequisite knowledge to latter High school and undergrad prep textbooks?

I use textbook study and am planning on studying Spivak's Calculus, Mathematics It's Content, Methods, and Meaning, How to Prove it by Velleman, etc. However, I'm worried I lack the prerequisite ...
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12 votes
1 answer
569 views

What are some resources for "ungrading" in a math class?

Most of the stuff I'm finding online about ungrading are either general descriptions of its virtues, or personal accounts from instructors from subjects other than math. Does anyone know any resources ...
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6 votes
1 answer
229 views

Fundamental Ideas in Mathematics

Andreas Vohns in his article Fundamental Ideas as a Guiding Category in Mathematics Education—Early Understandings, Developments in German- Speaking Countries and Relations to Subject Matter Didactics ...
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5 votes
1 answer
152 views

Resources for improving computational skills at the high school/university transition

Teaching first year undergraduates, I've noticed that what gives them the most trouble is simple computations like factoring, expanding, handling fractions, powers, especially when variables and other ...
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6 votes
1 answer
108 views

Data on textbook adoptions in universities (math/science)

Does anybody know if there is a website/database/... on textbooks adoption in the US or some other country? (math/science textbooks) It would be interesting to see which textbooks are (and have been) ...
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4 votes
1 answer
93 views

EdX Courses for Self-Study

I have been independently considering two edX courses in mathematics. The first, a course on probability theory drawing from a financial crisis case study, appeared to me plausibly comparable in ...
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17 votes
8 answers
6k views

Prisoner's dilemma formulation for children

I am preparing an introductory course on Game Theory for children (between 10 and 17 years old). In the course description, I want to include a prisoner's dilemma in order to catch children's ...
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  • 279
4 votes
4 answers
1k views

Best Way to Learn Trigonometry

What are the best resources to learn trigometry? I recently decided to pursue a BS in mathematics at uni. I used to fail all my math classes with D's or F's until I started teaching myself, and so far ...
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  • 496
-6 votes
1 answer
202 views

math norms for all kind of ruls [closed]

Want to ask if someone knows a official site where all kind of rules like $\infty-\infty$ or $\infty^0$ are classified. Ment an paper rule collector for that kind of definitions which has an certified ...
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4 votes
1 answer
439 views

Resources for teaching calc III

I was very unsatisfied with how I taught Calc III a couple years ago, and this summer I have to do it again. Are there any general resources for teaching this course? It seems like there should be, ...
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  • 157
6 votes
4 answers
461 views

Source material to study number theory?

I don't know if this is the correct site to ask this question, but I felt it was off-topic on the Mathematics forum. I really like Number Theory and would like study some on my own. Which books should ...
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2 votes
2 answers
1k views

Resources for Teaching Logic to Primary School Children?

What are some books or other resources for teaching primary school children logic?
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  • 161
4 votes
0 answers
50 views

Teacher resources on abacus for elementary school children

What are some teacher resources on teaching elementary school children (e.g., 2nd graders) how to calculate with an abacus? I did a search on WorldCat for related books, and surprisingly I was only ...
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  • 161
8 votes
2 answers
512 views

Resource to supplement to Euclid's Elements

I am an instructor at a mid-sized American university, preparing to teach a two-quarter geometry course for junior and senior math majors. My plan is to use Hartshorne's "Geometry: Euclid and Beyond," ...
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9 votes
2 answers
220 views

Recommendation for an introductory operations research book

In the spring I'll be teaching introductory operations research at an undergraduate liberal arts college in the US. The target audience consists of applied math majors and students in our ...
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8 votes
3 answers
438 views

Is there a resource that formally develops the topics of elementary algebra?

Let's say you're a university lecturer who regularly teaches remedial and/or college algebra courses. A standard textbook for such a course usually starts out with a series of facts about real number ...
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6 votes
2 answers
217 views

Need scientific source to prove the difference between arithmetics/calculus and real mathematical skills

For research about cognitive information retention, I'm trying to find a scientific reference where they explain the difference between the capability to apply real mathematical skills (entailing ...
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  • 71
5 votes
3 answers
202 views

Online course for Algebra II

I'm going into highschool. Thanks to an acceleration program at my district, I've already taken Algebra I and Geometry. I am very much a math and physics nerd (take a look at my activity over on MSE ...
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7 votes
2 answers
797 views

Resources for undergraduate knot theory

I am going to teach a 400-level topics class on knot theory at an American, mid-sized, public university. Prerequisites include multivariable calculus, linear algebra, and a proof course, but no ...
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5 votes
0 answers
78 views

Solvability of Systems of Diophantine Equations using Modular Reasoning

I'll be teaching a U.S. college, freshman-level, pre-proofs discrete math course (for future teachers) this semester and one of the topics I like to cover is determining if a system of (usually linear)...
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12 votes
3 answers
366 views

Resources on interdisciplinary curricula

As I try to incorporate more history, science, language, computing, and art into my math class I keep finding the lessons to be very successful and my students always seem to enjoy them. While I know ...
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