Questions tagged [reference-books]

Questions about books that can be used by instructors, administrators, or students as resources in mathematic-educational situations.

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4
votes
3answers
129 views

What books are good for drawing an intersecting plane?

I am looking for textbooks pertaining to drawing intersecting planes, intersecting point (among others) as follows. I am not sure this topic is taught in high school around the globe. That is why I ...
8
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6answers
258 views

Book recommendations on mathematics education focusing on geometry

I will be teaching Euclidean geometry to future teachers, and I am feeling a bit lost (I know geometry, but I am not that familiar with mathematics education). Is there some recent (as concise as ...
3
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0answers
141 views

According to Nathan Jacobson, what is Intermediate Algebra and Advanced Algebra?

Nathan Jacobson's Basic Algebra I, II covers many topics in Algebra that is probably even beyond many pure mathematics full professor's scope of knowledge, unless the professor is specialised in ...
4
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1answer
132 views

Reference request: undergraduate combinatorial topology

I teach at an American research 1 university. I am planning a course on combinatorial topology for undergraduates whose background is: multivariable calculus linear algebra at least one proof course ...
9
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0answers
117 views

Recommend a vector calculus textbook/resource with an algebraic geometry flavor

Is there a resource or textbook that presents the basics of vector calculus, specifically the gradient, directional derivatives, curves and surfaces, and extrema, from a more algebraic geometry ...
2
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1answer
110 views

books to teach K-12 math/science via real-world approach?

I volunteered abroad in rural Ethiopia and a village in a remote mountainous area of China. I plan to return to both places and teach for as long as I can make it work. I want to focus on STEM, but ...
7
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2answers
215 views

Material on tutoring university level math classes

Can anyone recommend online or printed sources on anything related to teaching university level math tutorials (that accompany a lecture course taught by someone more senior, but I'd also be happy ...
3
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1answer
111 views

Dissemination of mistakes in international texts such as the IGCSE

I started tutoring IGCSE Mathematics. In preparation for just a 1 hour class for 1 student, I noticed at least 3 mistakes (confirmed with their replies to me) in Chapter 21 of the Haese 0607 book (...
6
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1answer
156 views

Easy and good book on combinatorial problems

I am searching for a book on combinatorics and/or mathematical puzzles for very beginners in easy English. The book should not contain detail mathematical expressions, will contain easy understanding ...
6
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2answers
181 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 ...
9
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4answers
627 views

Inspirational Mathematics Books for Teenager

My daughter is in 6th grade. She likes mathematics, i.e., she likes to learn mathematics at school, is also good at what she has learned at school and is rather quick at picking new things. However, ...
3
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2answers
83 views

Reinforcement mathematics thinking of 10 years old child by teaching `patterns`

As Lynn Steen in The Science of Patterns says, I think Mathematics is the science of pattern ...
6
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0answers
72 views

Literature on teaching and learning probability

In an earlier question, the book Exploring Probability in School (2005) (Link) was mentioned. It gives an overview of the research on the teaching and learning of probability up to that point. Does ...
4
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1answer
160 views

SMSG Materials Available

Do you know anyone or any institution interested in accepting a donation of a relatively complete set of SMSG Materials? I post offering to donate a small collection of School Mathematics Study Group ...
3
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2answers
62 views

Expository/accessible source on computability/undecidability

Are there any expository books or articles on computability that are accessible to the general public on the order of Simon Singh's math popularizations (The Code Book)? I'm looking for one with lots ...
22
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13answers
3k views

What books are like Knuth's Surreal Numbers?

I'm looking to find more examples of books which bridge the gap between "story" and "mathematics" using narrative and all those other wonderful features we might find in Harry Potter or some other ...
7
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3answers
119 views

Looking for a reference for highschool level readers

I was wondering if there exists a book that talks to highschool level audience who wish to study pure mathematics for their undergraduate years. I'm not talking about problem solving kind of books (I'...
9
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3answers
553 views

How to teach calculus (book recommendation)

I'm going to teach calculus for the first time to undergraduate students. I would like to know if there is some book about how to teach the concepts of calculus (e.g. limits, derivatives, etc.).
4
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1answer
237 views

Brief book on calculus to read before studying the analysis

I am going to start studying the analysis texts (Rudin-PMA, Apostol-MA, Pugh-RMA) on the first week of August. I have a good proof skills through working on Artin's Algebra and Hoffman/Kunze's Linear ...
7
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0answers
220 views

Importance of “Calculus->Analysis Transition Books”?

E.S.E. advisers, I am a college sophomore with a major in mathematics and an aspiring mathematician in the fields of computation theory and cryptography. I am always curious about the importance of "...
4
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0answers
204 views

Seeking Your Recommendation on Problem-Solving Books (preparing for Putnam)

E.S.E advisers, I am a college sophomore in US with a major in mathematics and an aspiring mathematician in the computation theory and cryptography. I apologize for this sudden interruption but I ...
2
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2answers
258 views

Seeking your advice on books for abstract algebra and linear algebra

I am a college sophomore in the US with a major in mathematics and am an aspiring mathematician in the fields of computational complexity theory and cryptography. I would like to seek your advice and ...
10
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3answers
3k views

What is a good book to learn all of prealgebra?

I am an old man trying to learn math, starting off with prealgebra and need a good comprehensive book for it. The book should NOT contain annoying images like in most American textbooks or anything ...
12
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3answers
307 views

Resources for reading mathematics out loud in different languages

Are there reference books or online material for reading mathematics out loud in different languages? For example, the expression1) $$ \int x^2dx=\frac13x^3 $$ is understandable to anyone who has ...
14
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4answers
1k views

Teaching a very enthusiastic and bright 5 year old

I was asked to give extra lessons to a 5 year old boy who loves math (he says he likes 3 sports: football, swimming and math). However, I have never tought at this age and I am unfamiliar with the ...
9
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4answers
319 views

Ideas for math problem solving class for undergraduate students in university

In our university there is a huge gap between two group of students. a group of them came from Math Olympiad competitions and have a very strong background from high school but others, they have just ...
6
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3answers
174 views

References on British, German and French educational system

I'm writing a comparative study between mathematical teaching in my country (which sucks by the way) with others. However, I don't want to make it about today, globalization gives us a good notion of ...
8
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0answers
75 views

Literature on skill transfer

Motivated by this other question I'm interested in getting to know the literature on mathematics skills transfer within itself. All I know is what I've read in David Perkins's book "Knowledge as ...
19
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11answers
1k views

Books that every aspirant mathematician should read

I am a student and I would love to become a research mathematician one day. So I would like to ask you---experts in mathematics but also in education---what are some influential ($\star$) books ...
6
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2answers
303 views

Differential equations book

I am looking for a book on differential equations (ordinary/partial) of a particular kind. I figure out I am terrible at solving differential equations. This a vast field and unfortunately I don't ...
13
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3answers
621 views

Recommendations for inquiry based/aided discovery textbooks

I've recently dipped my toes into the world of number theory; and I've bought a book that to me is quite unconventional: R. P. Burn, A Pathway into Number Theory. I've yet to put the book through its ...
8
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4answers
259 views

Teaching math in an engaging way

I teach college students and wanted to make my classes more engaging. I found this recent article interesting/useful http://www.nytimes.com/2014/07/27/magazine/why-do-americans-stink-at-math.html? My ...
3
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2answers
516 views

''Deep'' maths books

I would like a suggestion on the 'deepest' books in Calculus and analysis (something along the lines of Rudin's) Linear algebra Abstract algebra Geometry (and topology); (even something along the ...
2
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1answer
121 views

Advice on studying mathematical biology [closed]

I am really passionate about theoretical and quantitative biology and I would like to build my future career around this topic. I've just got my bachelor's degree in biology (ecology) but scince I've ...
5
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5answers
3k views

Extremely “hard” books (or handouts) for undergrad studies

Can you suggest me some REALLY hard books on calculus and analysis. By hard I don't mean difficult in explanations, but with extremely challenging exercises (all worked out if possible) and useful ...
7
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3answers
642 views

Problem books at undergraduate level

I am an Undergraduate student ready to enter into Graduate School. I will be studying Mathematics. In my Undergraduate studies, I came across various Problem books and followed some of them. The ...
9
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1answer
303 views

Looking for a specific female maths writer, who has written on infinity

I once read a book on infinity that was written by an American female maths writer. Her writing was very easy to read and she was a great explainer of concepts. A very distinct aspect of her books was ...
31
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26answers
2k views

What are some great books for exploring mathematics? (not kids' books and not textbooks)

People often think of math as facts and procedure - dry stuff. But it is so much more, even at basic levels. What books about mathematics have you been inspired by? There are some real treasures out ...
11
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10answers
919 views

What are some great books for inspiring children to explore mathematics?

Starting from a young age, children can explore deep mathematical questions and enjoy thinking about basic math within the context of a story. There are some real treasures out there. Parents often ...