# All Questions

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609 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 ...
88 views

### How can I encourage students to show up for exercise classes?

I am doing a maths PhD and naturally that involves leading exercise classes for undergraduate students. The idea is that the students just show up and work through the problem set and I'm there to ...
123 views

### How to train facility with numbers?

I have a student (age 14) who is valiantly striving to improve his algebra. He knows the "rules", and he more-or-less manages to apply them correctly, and hence is generally able to tackle ...
67 views

### How to make progress as an independent student?

In recent times, I have been studying mathematics (topics related to mathematical logic, more specifically) independently and I feel a great deal of passion about it. However, although I have made ...
148 views

I am a high school student really into algebra and algebraic geometry. I want to expose this sort of math to other high school students that have the motivation and ability. For a long time, I had no ...
31 views

### `How to partially differentiate implicit function [closed]

I need to figure out how to find the following: partial of Y with respect to f and, partial of Y with respect to g. The implicit function is Y = x - z(f,g,h). Right now I think the answer is ...
317 views

### Where can I buy a compass that can hold an "Expo" dry erase whiteboard marker?

Question in title. I'd like to draw a perfect circle on the whiteboard using "expo" dry erase markers. Is there a store I could buy such a compass at? Thank you
3k views

### I want a "true" proof by contradiction of an implication P => Q

When teaching proofs by contradiction of an implication P => Q, one starts by assuming both P and (not Q), and then reaches a contradiction. The problem is, most elementary proofs of this type are &...
102 views

### Names of two circle theorems in English [closed]

There are two theorems: All three angles AC_1B, AC_2B, AC_3B are equal. In general: All angles above a chord are equal. The size of any angle above a chord AB is half the size of angle AOB where O is ...
71 views

### Is the AC Method of Factoring polynomials more popular and used by teachers than others methods of factoring polynomials?

This is an example of the AC Method: $x^2 + 16x +63$ (1) $x² + 7x$ (2) $9x + 63$ (1) $x(x + 7)$ (2) $9(x + 7)$ so we have: $x(x + 7)+ 9(x + 7)$ (1) with (2) The Result is: $(x+9)(x+7)$ I have more ...
437 views

### Is there a difference between 'subtract' and 'subtract by'?

A basic terminology question for a foreign speaker. Please correct me if wrong. (Let's ignore the commutative property of + and * here) ...
3k views

### What is the rationale for distinguishing between proper and improper fractions?

I cannot recall ever hearing the terms "improper fraction" and "proper fraction" outside of an elementary and middle school setting. At some point in my mathematics education ...
486 views

### Are there research studies that attempt to determine the value of a "Growth Mindset?"

A "growth mindset" can be defined this way, see this article: In a fixed mindset students believe their basic abilities, their intelligence, their talents, are just fixed traits. They have ...
162 views

### Singapore Math textbooks for secondary/"high school"?

Could anyone familiar with Singapore please tell me what is the name of a common textbook used for Math in Singapore's secondary schools? I am looking for topics covered for ages 14-18. I am very ...
191 views

### Probability — analytical results instead of simulations

After students learn how to use probabilistic simulations, what strategies can one use to encourage them to understand analytical results anyway? For example, I'm struggling to find a compelling ...
277 views

### implicit differentiation, formula of a tangent line

I need to understand "implicit differentiation" and after that I need to be able to explain it to a student. Here is an example: Find the formula of a tangent line to the following curve at ...
139 views

### How to recognize possible dyscalculia in a student?

I am looking for input/advice regarding whether a student I just began tutoring may have dyscalculia - and, if so, how to go about broaching the subject / assisting them as best as possible. I'd ...
163 views

### Exponential & logarithm in a high school calculus class

So recently I was teaching high school calculus to a high school class and I was wondering about the pedagogically best way to make students actually understand why the derivatives of the exponential &...
180 views

### Can you talk about (the rest of the) field axioms when the operations are not closed? [closed]

Note: Updated based on this. In my course, my instructor posed the following exercise: Let $S$ be the subset of $\mathbb R^n$, $S=\{(a_1,a_2,a_3...a_n) | a_2 = \pm a_1, a_3=...=a_n=0 \}$. Define ...
126 views

### How to encourage grade 5 kid very interested in mathematics?

My son is in Class or Grade 5 in India. he really likes mathematics. Apart from school work, he does ixl.com, website dedicated for math exercises of his class. he does those exercises relatively ...
80 views

### running the logo language online, in portuguese [closed]

Logo is a programming language that has, as main (and probably only) purpose the teaching of geometry and introductory computer science I am looking for an interpreter for logo that runs online and ...
135 views

### What do kids(6-15) need to know in Math to be able to understand Math easily and effectively?

I teach kids in a village and I was wondering if there is a list of Facts, Procedures, things, a kid 6-15 years of age should know to be able to easily understand things at his/her level of Math. ...
666 views

### Preparing elementary teachers for the praxis exam

I'm teaching a class called "Math for Elementary Teachers." The main goal of the course is to prepare the prospective teachers for an exam that I believe is called "Praxis" (some ...
388 views

### How many zeros do we need to add to get a nonzero value?

A student (kid) of mine asked this question to me. I am not sure what to make of it or how do I answer it. How many zeros do I need to add to get a non-zero value? ...
75 views

### Where can I find hard exercises for logic?

I taught propositional logic a few weeks ago using Discrete Mathematics: An Open Introduction, 3rd edition. See chapter 1 and 3.1. The topics includes logical connectives implications converse and ...
257 views

### Should I ask for a proof-of-work for online exam?

I am going to do an online exam next week. Since this will be done by students at home, there is no way to guarantee that they do not cheat. I am thinking of asking for a proof of work, i.e., photos ...
932 views

### How to encourage students to discuss with themselves in a remote teaching environment?

I am teaching in a hybrid mode (zoom+classroom) this semester. I would like to encourage collaboration between students. So I divided them into pairs and asked them to establish a communication ...
139 views

### Is there a name for this method of column addition and subtraction?

Suppose I want to subtract 46 from 52. Instead of the borrowing method, I can use this method: \begin{array}{r} & 5 & 2\\ -\!\!\!\!\!\!& 4 & 6 \\ \hline & & -4 \\ +\!\!\!\!\!\!&...
5k views

### Getting students to actually read definitions

I'm teaching a second year "Introduction to Theoretical Computer Science" course, and one of the skills/habits I've tried to instill in the students is to actually read definitions, take ...
3k views

### How to keep students' attention while teaching a proof?

I taught the proof inclusion-exclusion principle to CS students yesterday. While the proof is not too long, it does involves quite a bit notations. I could feel that most students lost interests a few ...
178 views

### The value of making students copy your derivations exactly

I have a hypothesis that I have not yet implemented, and am seeking guidance before I do. I have always taught algebra (and above) in such a way that the students understand the derivations. I check ...
86 views

### Effect of grades versus pass/fail on teacher education students

Context: University studies in Norway, master level, to become a teacher at either primary education (barneskole, classes 1-7) or mostly middle school level (ungdomsskole, classes 8-10 and pupils of ...
5k views

### Dealing with disagreeable students and not compromising

I act as a tutor sometimes for students who are self-studying undergraduate-level math. Most of the students have already earned an undergraduate degree in something and some of the students are PhDs ...
94 views

### Wackerly (2007) vs. Larsen (2018) — Introduction to Mathematical Statistics

How does Dennis Wackerly, Richard L. Scheaffer's Mathematical Statistics with Applications, 7th Edition published in 2007 MATERIALLY differ from Richard J. Larsen, Morris Marx's Introduction to ...
60 views

### Poll software used for live quiz

I was wondering if someone knows what is the name of the app used in the live quiz made in min 4:30 here https://www.youtube.com/watch?v=pq9LcwC7CoY, or if someone knows a similar app. The key thing ...
193 views

### At what grade/age levels do students in Florida/USA stop using mixed fractions?

I am teaching at the remedial level in college and I am trying to put together an argument on why we should explain the notations for mixed fractions and the terms proper/improper fractions before we ...
473 views

### Should I gave a make up lecture if some students found what I taught is a bit unclear?

This semester, I am teaching discrete math for computer science students. Today I taught solving linear recurrence equations. The way I did it was not rigors. Instead I used the method of advanced ...
55 views

### Abstract math and making proofs

What is abstract math about? I think we can not visualise probably what we read. Or can we? I am talking about the theorems, definitions and proofs in areas of math like Riemannian geometry, ...
50 views

### Creating best hand on activities on how to teach equal sharing with fractions in grade 3

(a) How to enhance learners interest in learning equal sharing with fractions in grade 3? (b) Which effective activities will be used to help learners in learning fractions? (c) What can be created to ...
102 views

### The Basic Practice of Statistics vs. Introduction to the Practice of Statistics

How does David S. Moore; William I. Notz; Michael Fligner's 2021 9 edn. The Basic Practice of Statistics differ from David S. Moore; George P. McCabe; Bruce Craig's 2021 10 edn Introduction to the ...
116 views

### Analysis of math and its elements

Can anything in math ultimately be analysed into symbols, equations, formulas, with as exeption perhaps the Euclidean geometry we know with triangles,straight lines etc? Can also proofs, definitions ...
267 views

### Is there an equivalent for "tiervenner" in English or other languages?

In Norway a widely used concept is that of "tiervenner", "ten friends" (my translation to Finnish is "kymppikaverit"). This simply means numbers (implicitly positive ...
769 views

### Composite fraction?

What do you call a fraction that has one fraction in the numerator and also one in the denominator? I mean (a/b)/(c/d). The word by word translation from my native language would be: composite ...
73 views

### Looking for good examples/explanations of maximum likelihood estimators for discrete random variables

The title basically says it all. I need to prepare material for a whole classroom of elementary statistics students, so if anyone wants to help me out in the name of math education, that'd be great!
171 views

### How to create an equation of a given form with integer coefficients and variables

A math textbook gives the following problem: What is the solution of 3(2x-1) – 2(3x+4) = 11x. The solution is an integer. Using Excel to choose some numbers at random and compute the remaining numbers,...
289 views

### Vector geometry as a prelude to linear algebra

When I was in grade 11, I was fortunate enough to attend a high school that offered an optional course in vector geometry. The course was taught out of the book Analytic Geometry with an Introduction ...
126 views

### What studies exist, comparing the efficacy of exercise sheets with or without worked solutions?

I've been tutoring mathematics at university level for over 10 years, and one of the more common requests from students is worked solutions for sheets of exercises. Most educators I've worked with ...
393 views

### Why is highschool math so unrigorous?

I am an highschool student (I'm starting soon the italian equivalent of 12th grade) and I have many problems with the way hs math education works. I don't understand why everything is explained only ...