# All Questions

2,228 questions
73 views

### Integrating derivatives over functions problem

I had a question from a student which I'm unable to answer. We were practicing the rule $\int \frac{f'(x)}{f(x)} \, dx=\ln(f(x))$. A student noticed that if applied naively it gives the following ...
196 views

### Don't these word problems seem designed to be confusing?

I'm a fairly new private math tutor, and I'm good at math (I have a BS from Caltech with lots of graduate level math), but becoming good at teaching math is something else, which I strive to improve ...
62 views

### Using discrete examples in the beginning of integration

In Germany, one usual example to start teaching about integrals is to look at a simple (piecewise constant or with constant slope) functions that make up a water flow vs. time diagram and ask about ...
103 views

### Should we relabel the slope formulas to prevent confusion with exponents? [on hold]

When you teach about slope in Algebra 1, should we relabel the slope formula to: $$m = \frac{y_b-y_a} {x_b-x_a}$$ and also temporarily relabel the slope-point formula to: $$y−y_a=m(x−x_a)$$ where ...
70 views

### Writing Up Solutions To G.H. Hardy's A COURSE IN PURE MATHEMATICS?

Ok, this may be a ridiculous question and if so, you guys will shut it down. But I didn't know where else to ask it-it certainly doesn't belong on Math Overflow. Does anyone know if anyone ever ...
76 views
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### Flow diagrams and summarizing strategies in proof-computation courses: good or bad for learning? Unsuitable for Inquiry-based learning?

For concreteness lets keep our discussion to calculus courses where there is a balance of proof and computations (computing limits but also doing epsilon-delta proofs) I can understand that in more ...
99 views

### What are some suggestions fo teaching statistics concepts to struggling college students?

I'm a private math tutor. I'm fairly new at this, and this semester is the first time I've been tutoring for a statistics class at a community college. I enjoy experimenting and learning about ways to ...
26 views

### Negation of logic [closed]

I’m trying to negate the underlined formula(in the attached picture)but can’t seems to comes in terms with my solution. Your expert inputs are welcomed.
105 views

### Are there standard questions for testing how an instructor grades calculus?

My institution is now in the process of "standardizing" our calculus classes. One issue we have is the variation among instructors in grading problems. I am interested if there are ways to objectively ...
74 views

### Find a bounded function $f$ such that $sin(x)<f'(x)<sin(x)+1$ [closed]

This question came up in my diffyqs discussion today. I was curious as to what you fine people had to say. My intuition says it can't happen because the derivative is mostly positive... but my ...
231 views

103 views

### why did common core remove so many topics from Algebra II?

I don't understand why common core: High School Algebra II (NYC, NY, USA) removed so many topics. I think these ideas are pretty important and useful (especially since a handful of these topics come ...
79 views

### Algebra I common core is too short? [closed]

I feel that the common core: High School Algebra I (NYC, NY, USA) curriculum is too short and tedious. For one, it can be completed in 5 months even with a lot of prolonging. For me, there isn't a ...
260 views

### Students understand during course but can't solve exam

I am teaching a math class where the students, most of them, tell me that they can understand the materials given by me during the course. I test them during the course too and they seem to get it. ...
140 views

### What to include in an “elevator pitch” for an undergraduate statistics class

I'm going to be giving a five minute "elevator pitch" presentation to undergraduate math majors in order to advertise an introduction to statistics class that I'll be teaching in the spring. It's an ...
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### Is it feasible to expose undergraduates to a “map”-centric point of view early on?

Question: Would it be feasible to teach undergraduate math students a "map"-centric view early on? If so, how early on? Now that I'm preparing for a phd program, I'm also reflecting on my ...
215 views

### Teaching math by serving it as games with rules first, not intuition?

Just now I'm thinking a crazy reversed idea: Is it good to teach math to elementary students without starting from its real world motivation or making it intuitive first, but rather by realizing that ...
95 views

### On concentration inequalities [closed]

I would like suggestions for a good text on concentration inequalities (examples here https://en.wikipedia.org/wiki/Concentration_inequality). I am looking for sources (texts) that can give strong ...
43 views

### Are there any studies evaluating the impact of the Mathematics Vision Project?

I have found very little online that compares & critiques the MVP vs traditional curricula. Any suggestions & pointers would be welcomed. The MVP is an implementation of Common Core Standards ...
483 views

### Math Everywhere Activities

Question Does anyone have a nice list of "no effort" activities that parents can employ to promote numeracy? I am primarily interested in K-8 activities. Exposition Often parents ask me about what ...
135 views

### Intro to Proof: if $x$ divides $y$, then $x \leq y$

I am teaching a very small intro to proofs class with Dana Ernst IBL book, and came to theorem 2.56. The section is about proof by contradiction but I felt that the solution I came up with is ...
52 views

### When to use row or column vectors in points and translations

A course that my kids are doing in conic sections insists that all positions are represented as standard 2D cartesian coordinates $(x,y)$ (i.e. row vectors), and all translations are written as 2D ...
771 views

### How to correct visualization of mathematical expressions?

This happens a lot when I try to explain the commutative property, mostly in elementary grade levels. I say 2 + 3 = ? and then the student usually replies with 5. Albeit they're not wrong, it's ...
327 views

### Examples (for beginners) of real functions which are not given by elementary formulae

Question: What are good examples of functions $f: \Bbb R \rightarrow \Bbb R$ (or $f: D \rightarrow \Bbb R$ with $D \subseteq \Bbb R$) which are not just given by "a formula" (or finitely many formulae ...