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7 votes
3 answers
591 views

Making an online math course "interactive"

I teach some fully online math courses (community college in the USA), and I'd like to hear how you have made your online classes successfully "interactive" along three axes: Student-to-...
Nick C's user avatar
  • 9,709
1 vote
1 answer
106 views

What are signs your high school algebra II (arithmetic) course plan focuses heavily on the first half and neglects depth in the second half?

What are signs your algebra II course plan focuses heavily on the first half and skimmed the second half? I'm trying to figure out whether I'm going evenly. I'm trying to figure out whether students ...
Coo's user avatar
  • 111
0 votes
0 answers
42 views

Assigning a semi-independent project for current math I students to learn a topic in Math II overlap with math I, and teach a math II class, how to?

How can I foster a growth mindset and sense of belonging to the intellectual realm among Algebra II students by having them undertake a semi-independent project where they learn to teach an ...
user avatar
0 votes
0 answers
61 views

Wanting explore mathematics [closed]

Hi everyone I am student. Since few months I am using discord to improve my mathematics understanding. It helps a lot so I am here to ask I know there are many good discord servers but I don't why I ...
Texas's user avatar
  • 1
11 votes
5 answers
2k views

How to justify formula for area of triangle (or parallelogram)

I'm going to be teaching my kids the concept of area soon. The concept of area of a rectangle (or square), $\text{base} \times \text{height}$ is fairly easy to both explain and intuit: you can break ...
StoneThrow's user avatar
-2 votes
1 answer
79 views

Seeking journal for theoretical papers publishing

I want to publish a short review article on some aspects of mathematics education. Can you please introduce some Scopus indexed journals which consider such these paper for publishing? I do not look ...
user118746's user avatar
3 votes
1 answer
173 views

Examples of different languages with mathematically different names for concepts

Multilingual classroom Having pupils of many different native languages, and many languages in general, has been getting quite common in Norwegian classrooms, too. In many other countries this has ...
Tommi's user avatar
  • 7,378
0 votes
1 answer
43 views

Recommended math site or app for 7th/8th grade

I am looking for an app or website that teaches math at 7th or 8th grade level (for my son). The emphasis should be on fun, game-like experience, that would maintain his natural excitement and ...
Itamar Katz's user avatar
0 votes
0 answers
98 views

A Question for Math Instructors [closed]

The following question is for math instructors: How would you approach a student that questions what you’re teaching since that student knows that in mathematics, there are all these different ...
AUTIST INC's user avatar
1 vote
3 answers
345 views

Why can't I teach that picking (un)popular integers doesn't lower Probability of winning lotteries?

Every year at my secondary school, some student always insists that "picking unpopular numbers" lowers your probability of winning lotteries, as follows. Presuppose that lotteries let ...
user109440's user avatar
-3 votes
2 answers
189 views

Preparing students to face challenges caused by artificial intelligence

Before the invention of computers, the main objective of teaching was to impart subject-related knowledge and train students in memorization. However, with the advent of computers and their vast and ...
Janaka Rodrigo's user avatar
1 vote
5 answers
313 views

Truth tables. What does a truth valuation of a formula even mean?

What does a truth table even mean? Does anyone actually spell it out anywhere? (reference please). People feel like the are not taught rigorously like limits are. Edit: What does it mean for a (non-...
Tom Huntington's user avatar
2 votes
4 answers
542 views

Logarithms properties, continuity and circular reasoning

I have a doubt relating to logarithms. Anticipating some answers, I know that a "mathy" way of doing things is defining the function by its properties ($f(xy)=f(x)+f(y)$) and then just build ...
Curious student's user avatar
4 votes
2 answers
225 views

The easy and the hard problems involving independent events

In probability, two events are independent if the incidence of one event does not affect the probability of the other event. Math textbooks often have a problem checking if two events are independent ...
RopuToran's user avatar
  • 141
0 votes
0 answers
76 views

Resources to introduce Modular arithmetic

We have Clock arithmetic in grades 5 , 6 and thereafter nothing related to the Modular arithmetic is taught until students enter to the universities. Since this is very important topic in Number ...
Janaka Rodrigo's user avatar
37 votes
5 answers
14k views

Which cognitive psychology findings are solid, that I can use to help my students?

I read recently on this site that the growth mindset seems not to be real. I did not know that (I admit that I don't follow research into learning as closely as I would like). Can I turn that ...
Jim Hefferon's user avatar
4 votes
2 answers
306 views

Correct notation of a Sample space

From the very beginning I have used the notation $ S = \{ H , T \} $ as the Sample space for tossing a coin once and $ S = \{ HH , HT , TH , TT \} $ in the case of tossing a coin twice.I have several ...
Janaka Rodrigo's user avatar
8 votes
6 answers
4k views

Would you correct grading mistakes downwards if there is a mistake in grading?

In a recent exam, I give student a true or false question asking them to decide if a statement is true. After the grades have been published, a student pointed out that I misread the statement and ...
LeafGlowPath's user avatar
0 votes
2 answers
121 views

Math Progress for Year 2 Student?

Have a year 2 student that is years above his peers. Each topic I introduce he has already learnt and understood. I've extended the topics we work on for him but the topics I introduce are rudimentary ...
user avatar
0 votes
3 answers
462 views

What is this symbol called?

I know how to pronounce the first symbol as "theta", but the other symbol that looks like a circle with a vertical slash, I don't know what to call it. I would appreciate any help. Thank you
Teacher's user avatar
  • 17
0 votes
7 answers
446 views

How Can I Encourage Students to Use AI Like ChatGPT Across Math Courses?

I've been using ChatGPT (GPT-4) to help with creating quiz questions, solving math problems, and answering students' queries in my classes. Although it sometimes gets things wrong, with the right ...
LeafGlowPath's user avatar
7 votes
2 answers
292 views

Producing defective matrix examples

It's easy to come up with examples of interesting diagonalizable matrices $A\in M_n(\mathbb{C})$ with a prescribed set of eigenvalues $\lambda_1,\dots,\lambda_n$ because you can start with your ...
Jeremy Brazas's user avatar
14 votes
7 answers
8k views

What Basic Math Skills Should Be Expected of Students in a University-Level Linear Algebra Course?

I am currently teaching a university-level linear algebra course and recently encountered an issue that made me question the assumed foundational math skills for students in this course. The issue ...
LeafGlowPath's user avatar
6 votes
3 answers
1k views

What are the essential topics in undergraduate financial mathematics?

When I was an undergraduate 15 years ago I did not take any financial mathematics courses. Recently I was approached by an undergraduate, whose ultimate goal is to go into the financial sector, and he ...
Bumblebee's user avatar
  • 161
5 votes
3 answers
638 views

What is a corequisite course?

My department has eliminated its remedial mathematics courses and implemented a corequisite system. I did not participate in the original design, so I found myself unable to understand the new system. ...
Timmy's user avatar
  • 153
23 votes
6 answers
8k views

What skills do algebra teachers wish their students had mastered before taking algebra?

I am designing 10 hour weekly summer math learning opportunities for students taking algebra next school year. I would like to know from algebra teachers what skills they wish their students had ...
Thomas McLoughlin's user avatar
1 vote
1 answer
162 views

Theory of semiotic mediation in teaching math at high school [closed]

I am working on the theory of semiotic mediation in teaching math at high school. According to the theory I need an artefact that is appropriate for high school (secondary school). In many papers ...
ryuk's user avatar
  • 131
21 votes
10 answers
5k views

Inner voice when reading mathematics

I am writing some notes for my students, and am curious about how others read mathematics: do you have an inner voice when reading mathematics? What about when you come across a symbol which you don't ...
Ben's user avatar
  • 311
-1 votes
2 answers
180 views

What are your most recommended resources to teach fractions?

Please share your resources for learning and teaching fractions...sites, videos, worksheets etc. I am looking for online resource similar to this: https://worksheetgenius.com/math/fractions-add/ with ...
David Hoot's user avatar
4 votes
1 answer
144 views

Usage of cubic equation Vieta's formula

I explained to my kid Vieta's formula of quadratic equation and showed that it can be used to solve quadratic equation (from $x_1+x_2$ and $x_1x_2$ to get $x_1-x_2$) and cubic equation (Cardano's ...
athos's user avatar
  • 777
1 vote
4 answers
228 views

How to round numbers?

I have often thought that $3=3.0$ so one can round $3.4\approx 3.0$. But some math teachers says this is wrong. Which one is the correct answer? Why this might be wrong?
guest's user avatar
  • 23
7 votes
11 answers
6k views

Earliest real-world uses of Calculus and Linear Algebra

I want to illustrate in class that real-world applications of mathematics might take time to come to fruit. In this context, I want to find what the earliest real-world applications of Calculus and ...
Jaikrishnan's user avatar
1 vote
0 answers
117 views

Book or curriculum for teaching base-16 numeral system to elementary, middle, or high school children?

In 1862, John W. Nystrom promoted the base-16 (hexadecimal) number system, which he called the "tonal system": Project of a New System of Arithmetic, Weight, Measure and Coins: Proposed to ...
Geremia's user avatar
  • 171
15 votes
7 answers
3k views

A visualization for the quotient rule

Context: first year didactics of mathematics course for middle school teacher students (in Norway). I have a reasonable visualization for the product rule of derivatives: Consider a rectangle with ...
Tommi's user avatar
  • 7,378
15 votes
22 answers
8k views

What are some simple problems that calculators get wrong?

A frequent issue with students is their uncritical over-reliance on computation devices. While these can of course be quite helpful, they also need to be handled with care, because they make ...
Carl's user avatar
  • 199
0 votes
1 answer
114 views

Markov chains - how to translate mathematically the fact that the state at $n+1$ only depends on the state at $n$? [closed]

In a Markov chain of, say, three states $1,2,3$, when proving that the probabilistic state at $n+1$ ($\pi_n$) is equal to the probabilistic state at $n$ times the transition matrix, one has to use the ...
niobium's user avatar
  • 225
10 votes
8 answers
2k views

"Pure Imaginary" or "Purely Imaginary"?

Quick Question: A complex number $z$ with real part $Re(z) = 0$, i.e. something like $-17i$ -- would you call it "pure imaginary", or "purely imaginary"? I'm not a native English ...
Torsten Schoeneberg's user avatar
2 votes
1 answer
213 views

How to grade a flipped class to improve participation and attendance

A flipped service course for me is an arrangement where videos are online and on-campus class time is used for problem solving by students. I usually have a homework due date the day after the ...
Maesumi's user avatar
  • 1,410
7 votes
3 answers
382 views

Why is it written $\tan^{-1}$?

I was showing my neighbour's daughter how to do simple sine, cosine and tangent questions and their inverses. She could do the questions fine but she asked me why the calculator button for inverse tan ...
Judith Jones's user avatar
1 vote
4 answers
2k views

An algebra student wants to learn to type commutative diagrams in LaTeX

A maths student takes his first course on homological algebra, and wants to write his answer in LaTeX. What is the simplest way for him to write commutative diagrams in LaTeX?
guest's user avatar
  • 21
1 vote
1 answer
129 views

Is there a mathematics core assessment rubric?

Many universities in USA ask their faculty to perform a "core assessment" where they evaluate (typically) freshman students, near the end of semester, on their understanding of the courses ...
Maesumi's user avatar
  • 1,410
2 votes
3 answers
379 views

Math tools for restructured lectures

We are in the process of restructuring our math lectures to a more modern style. For that we want to use some math tools to show students how math is done in a more current state. Our math is more ...
AcademicCoder's user avatar
7 votes
2 answers
160 views

Book recommendations for Math for Biochemistry Course

I am a mathematics teacher currently teaching at highschool level. I have taught at college level and I do have some preparation about topics such as differential equations and multiple integrals. ...
NotAMathematician's user avatar
2 votes
0 answers
60 views

Math textbook for secondary school using Logo like language

What math textbooks for kids do you know that use Logo or similar languages with visual robots like Turtle (in "The Turtle Geometry") that demonstrate space motions, transformations of all ...
paus's user avatar
  • 83
5 votes
4 answers
299 views

Generating function example

I'm about to introduce the Generating Function concept to a couple of kids. The plan is just to roughly follow Herbert Wilf's Generatingfunctionology's first 12 pages, until Fibonacci numbers and Ch 1....
athos's user avatar
  • 777
1 vote
1 answer
100 views

Math textbook for secondary school using Logo like syntax

What math textbooks for kids do you know that use Logo or similar languages with visual robots like Turtle (in "The Turtle Geometry") that demonstrate space motions, transformations of all ...
paus's user avatar
  • 83
-6 votes
3 answers
249 views

The value of homogeneous divisibility rules and of a numeration

Everyone knows about several divisibility rules. But any teacher knows how difficult students are even with the criterion of three in base ten. For example, many teachers have encountered the classic ...
Stéphane Jaouen's user avatar
15 votes
1 answer
192 views

Having students assess what problems they're ready for

Does anyone have experience with giving students a collection of problems where they have to assess which ones they have the knowledge to solve? I was exploring the connection between video games and ...
TomKern's user avatar
  • 4,425
1 vote
5 answers
2k views

How can graduates learn and apply university-level math, but fail to solve competition problems?

It's pretty common for people to learn and apply university-level math yet not be able to solve competition problems. Isn't this sentence a contradiction? Please unpack this sentence? Is https://redd....
user avatar
6 votes
0 answers
154 views

What are the differences between the $n$ permutations of the Edwards & Penney Differential Equations books?

Edwards and Penney are the authors of a popular differential equations textbook. Bizarrely, there seem to be $2^4$ permutations of the title: Some versions have "Elementary" and some don't ...
SRobertJames's user avatar

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