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101 views

Comprehensive Assessment Test for Undergraduate Math Program

My department uses the Major Field Assessment Test in Math (I think we refer to it as the "MFT") and that is great for its purpose. However, I am currently teaching a capstone course where we spend ...
1
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0answers
77 views

How many contact-hours should I have with students? (Secondary Ed.)

I'm interested in discovering how many hours of contact math educators have with their students each week. I've done some research and gotten some averages by country, but I can't find enough data (...
1
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0answers
31 views

Environment for Applet development

I am interested in creating an applet to illustrate how polar graphs get formed. I was able to make some videos of what I envision using Interactive Physics. But they are not really interactive once ...
1
vote
0answers
67 views

How many problems do we have to do as undergraduate mathematicians in order to learn a subject? [duplicate]

I'm wondering how many problems are needed in order to learn a subject, let's say Calculus of Several Variables. We know that the professors often assign us a list of problems to solve as homework, ...
1
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0answers
92 views

Mathematics after Rube Goldberg (recommendation) - Question for orientation

There are many fields in mathematics, in which one wants to optimize a process, for example finding the shortest way in a graph etc. However I got curious and wondered, if there are also books or ...
1
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2answers
185 views

Which works better for learning 6 * 7 = 42: saying “six sevens are forty-two”, or “six times seven equals forty-two”?

When memorizing and recalling the times table, I learned to say "six sevens are forty-two", and always wondered what it would be like to learn to say "six times seven equals forty-two&...
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6answers
2k views

Is there a more telling name for “Calculus 2”?

I see a lot of places where "Calculus 1" is referred to as "Introduction to Calculus", or "Single-variable Calculus." "Calculus 3" is referred to as "Multiple-variable calculus." Is there an ...
0
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3answers
421 views

Could students learn a lot more from school if they're only taught number theory until way later?

According to https://www.inc.com/bill-murphy-jr/science-says-were-sending-our-kids-to-school-much-too-early-and-that-can-hurt-th.html, when students get taught a concept when they're so young, they're ...
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4answers
355 views

Double Integral: Area or Volume? [closed]

When we study double integral many Calculus textbooks state that for a region $R$ in the plane $$\iint_R1\ dA= \text{area bounded by }R $$ But double integral actually give the volume of a solid. ...
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4answers
240 views

Is “Volume of Solids of Revolution” a part of Cal I or Cac II

I took Calc I in preparation for the CLEP. I did not learn about solids of revolution. Is this something that is normally part of Calc I and that most Calc II classes will expect that I can do already?...
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1answer
86 views

Applications of unreducible fractions in Basic School

An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (...
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2answers
409 views

Is it possible to have taken intro to proofs, calculus 3 and differential equations and still lack the ability to do proofs?

Ideal Undergraduate Sequence Main question: I looked above and what I'm interpreting out of it is that one should be able to do proofs after studying some intro to proofs class, calculus ...
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1answer
623 views

Probability AND/OR [closed]

I have always taught that, in case of two independent events P(1) and P(2), probability of P(1) AND P(2) = P(1) x P(2) and that probability of P(1) OR P(2) is P(1) + P(2). But consider this scenario: ...
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1answer
208 views

in what sense is the subject of finite group theory 'algebraic'?

[cross posted from mse] the class of all finite groups is not closed under produtcs - example: the product over all finite cyclic groups - thus it is not a variety of algebras, ie, it's not ...
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1answer
156 views

Matriculation exams like in Europe

I just looked at matriculation exams from Finland. They have both basic and advanced level exams. Most US high school seniors could not pass the basic exam. If each US state were to create its own ...
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2answers
402 views

Practical applications of integration by substitution where integrand is unknown

I posted this question on the Mathematics Stack Exchange a while ago, and got no responses, so I thought I would ask it here. I'm looking for any real-life applications of integration by substitution ...
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2answers
145 views

Would it make sense for math courses to be pass/fail?

I have a theory that if standardized grading were abolished for a pass/fail system, people would be more mathematically competent. Bear with me here. With graded homework, especially homeworks that ...
0
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3answers
258 views

Is there a difference in the content taught at each university?

Say you have college A, B and C that are each ranked in the top 100 in the US News or other similar rankings. Admissions (SAT scores, GPA, et cetera) standards, quantitatively, rank A>B>C as the ...
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3answers
163 views

Advice for Community College Interview Statistics Demonstration

In a few weeks i'll be interviewing at a community college in California for a tenured Mathematics position. They've asked me to present the following in only 12 minutes. I'd appreciate any ...
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2answers
92 views

Percentage nature [closed]

In mathematical expressions, the internationally recognized symbol % (percent) may be used with the SI to represent the number 0.01. Thus, it can be used to express the values of dimensionless ...
0
votes
1answer
317 views

Most effective classroom management plan [closed]

I'm looking for an effective classroom management plan for high school teachers. Mine is: Every student should have a notebook and a pen to take notes. Food, drinks, chewing gums and electronic ...
0
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2answers
142 views

When assigning a late penalty for assignments is that penalty subtracted from the total or does it reduce the score by that percentage

When assigning a late penalty for assignments, is that penalty subtracted from the total or does it reduce the student's score by that percentage. Ex: Assignment is worth 10 points and the late ...
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2answers
88 views

Need to learn recurrence relation discrete mathematics [closed]

Which is the best tutorial available online to learn the recurrence relation concept and its solution in discrete mathematics, in a systematic way?
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2answers
271 views

Future in mathematics

My sibling is done with high school and has always scored A in Maths and am not in position to advise her on the future in line of her niche. She's not yet in university and she's in her vacation but ...
0
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1answer
76 views

Multivariable limit problem [closed]

Im triying to explain this delta-epsilon problem, but I didnt find a way to attack effectively this rigorous demonstration I actually i tried a lot of inequalities (Cauchy-Schwarz etc), but nothing ...
0
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1answer
228 views

Comments on my approach to Group Theory notes?

I am working on some introductory notes for group theory. Comments on my initial approach here and any errors so far would be appreciated. I begin with the group axioms: $\forall a,b\in G:[ a+b\in ...
0
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1answer
139 views

Which academic subjects examine what the advantages and disadvantages of the various number bases are?

Which academic subjects examine what the advantages and disadvantages of the various number bases are, e.g. besides base ten: base twelve, base sixteen, base eight, base two and the ways that they can ...
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1answer
132 views

Recommendation for cheap practical graphics tablet?

I am looking for a good, stable and cheap graphics tablet for online math education that you use to use and love to use. I need to prepare remote videos.
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4answers
203 views

What topics are considered to be part of pre-algebra?

I know pre-algebra is like a terminology thrown around to really basic stuff that are taught before high school algebra. Some stuff taught there are already considered as part of algebra in some ...
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2answers
82 views

Examples for environmental topics in the context of terms or linear inequalities

I want to emphasize the aspect of environmental education in my math class. Now I'm reasoning whether to do that with linear inequalities or terms with two variables - these are our next topics. The ...
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2answers
294 views

Hardware for real time streaming of writings and drawings

Looking for the necessary hardware to share, in real time streaming, the writings and drawings done in a paper or notebook. It looked like something easy to find but after two hours goggling, nothing ...
0
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2answers
580 views

Is AP Calculus AB really necessary?

High school student here... This coming school year I'm scheduled to start AP Calculus AB and then my school is looking into taking Multivariable Calculus at a local university. The school's calculus ...
0
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1answer
59 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 ...
0
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4answers
328 views

Defining mathematics to primary/elementary school teachers

I'm looking for a simple way to define mathematics to primary/elementary school teachers and explain some of the confusion children have. I'm hoping some Algebraist could help me properly state the ...
0
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1answer
189 views

Teaching Hours for AP Calculus AB [closed]

What are the estimated hours for teaching AP Calculus AB for students aiming for a 5? Similar question, how many hours of practice will the student need to put it. Some Clarifications based on ...
0
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2answers
153 views

Examples for “good” exponential growth versus linear growth

I am writing up a small text about (increasing) exponential functions versus linear functions. I want to make the point that it is not true that if an exponential is bigger than a linear function that ...
0
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2answers
136 views

I find high school math very hard compared to middle school? [closed]

i hope i can get some help on how to get better at high school maths i find them very difficult compared to middle school. Whats the big difference so i can work on it ?
0
votes
1answer
203 views

Grades in a university course on category theory, curving, and how they reflect on the students and/or teacher [closed]

I originally posted this on the Mathematics Stack Exchange, thinking that the best place to post it, but the question quickly accumulated a bunch of close votes since it was not quite within the scope ...
0
votes
1answer
242 views

What does math teach students who won't need university-level math, that Logic can't?

Sources: 1 by Tim Gowers. 2 by Marcus du Sautoy. 3 by Richard Muller. This question assumes that pre-calculus, probability & statistics ought still be taught in high school, and involves only ...
0
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1answer
83 views

How to explain inverse modulo? [closed]

Do you know a (simple) inverse modulo calculator somewhere on the Internet? How to explain simply inverse modulo? (when the concept of modulo is already a bit known) How to explain someone how to ...
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1answer
138 views

Using Substitution in place of the balance model

How does substitution work as an alternative to the balance model in introducing solving equations? My biggest worry is that, lacking a concrete representation, is too abstract for middle schoolers. ...
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1answer
338 views

Gil Strang or Peter Lax? Which linear algebra book to use? [closed]

I have heard that Peter Lax's linear algebra book is the hardest you can find on the subject, but that it is the greatest linear algebra text in the world. But I also hear great things about Gil ...
0
votes
1answer
166 views

Viewing arithmetical operations as processes-possibly wrong and detrimental to long term math performance of the students [duplicate]

I think that the standard practice in the first grades when addition (or other operation) is taught as a "process" may be not so good. I always wondered why so many children lose interest in math ...
0
votes
1answer
123 views

How to present the order of factors and summands for the usual multiplication procedure

In the following multiplication example, $$\begin{align} 34\;& \\\underline{\times\;\; 7\;}& \end{align}$$ first one would multiply the units digits, producing the partial product $28$ as ...
0
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1answer
132 views

Good Combination for Self Study for a Mathematical Novice

Hi There I am new to Mathematics Educators so please bear with me if my question is not up to mark? I am interested in mathematics and have gotten comfortable with basic proofs with Daniel J Velleman'...
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1answer
100 views

Text book on real analysis for undergrad in statistics

May I get some recommendation on text book on real analysis for undergrad in statistics? Thank you.
0
votes
1answer
98 views

Way to learn mathematics [closed]

Good day. I am working in IT-related field, has a bachelor degree and intend to get graduate degree in Computer Science. Since it requires passing some math test I need to prepare for this exam. ...
0
votes
1answer
77 views

Algebra or Analysis [closed]

I am currently doing MS in Mathematics. As far as I know there are two approaches which anyone can take to do Mathematics- Analysis and Algebra. Choosing which area to work on seems difficult to me. ...
0
votes
0answers
51 views

What does “parity pattern” mean? [closed]

Five lattice points are chosen in the plane lattice. Prove that you can always choose two of these points such that the segment joining these points pass through another lattice point. (The lattice ...
0
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0answers
98 views

What notation do they use for mathematical expressions in Polish schools?

I thought of something like Polish notation all by myself and asked the question https://cs.stackexchange.com/questions/111067/could-we-define-the-decimal-notation-of-a-natural-number-as-a-series-of-...

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