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What are pros and cons of requiring students to create their own math questions, and what are some tips to make it work well?

I will teach a special class of 10 high school students who are aiming to study math at top universities. The purpose of the class is to increase students' interest and ability in math. There is ...
Dan's user avatar
  • 851
5 votes
7 answers
2k views

Should I choose Cox-based Jaynes' approach or Kolmogorov approach to base myself on to teach probabilities to high-school students?

I am planning to become a math high-school teacher and have the following question: What Probability Theory should I base myself on to teach probabilities to students ? The classical approach is via ...
niobium's user avatar
  • 161
2 votes
1 answer
971 views

Do you think with the advent of Desmos/GeoGebra, the Moore Method is more accessible to high school?

When I was a grad student, I taught a Calculus I course during the summer. Somehow I came across Robert Moore and I ended up reading his book which I connected with. Rather than being a great student, ...
Matthew Albano's user avatar
1 vote
1 answer
112 views

Speed math appropriate for middle-school students

There are many "rules" for speed arithmetic. List of some reference links showing speed methods or rules: https://ofpad.com/multiplication-tricks-for-mental-math/ https://ofpad.com/mental-...
EngrStudent's user avatar
1 vote
1 answer
102 views

highschool's mathematics journal which citable in Google Scholar

I'm a high school Mathematics teacher and I want to issue some research articles for highschool students to improve their math problem resolve skills. Is there any valuable Math journal for high ...
mbzadegan's user avatar
1 vote
1 answer
218 views

A Question about Answer Keys

I am a HS math teacher and just started a job that adopted a new curriculum at the last minute. It gave us the tasks but did not provide any answer keys. Of course, I know how to work through the math ...
Patrick Walsh's user avatar
4 votes
0 answers
174 views

What evidence is there in the literature that lessons geared towards dyslexic student help non-dyslexic students?

Dyslexic students sometimes benefit from informal analogies to things in the world which the student can see with their eyes, and/or touch with their hands. Tentatively, we can conjecture that ...
Samuel Muldoon's user avatar
7 votes
1 answer
98 views

Joint Teaching of a First Year Engineering Maths Class

My department is considering using more than one lecturer (sequentially, not in parallel) to give lectures in our large first-year classes (e.g. 500 students doing engineering mathematics). In other ...
Gordon Royle's user avatar
31 votes
20 answers
8k views

‘Lies to children’ in mathematics and statistics education

In teaching, we sometimes necessarily oversimplify concepts. Terry Pratchett famously referred to this as Lies to children: A lie-to-children is a statement that is false, but which nevertheless ...
Joel Ottar's user avatar
11 votes
4 answers
6k views

How can a teacher help a student who has internalized mistakes?

John is trying to learn some field of mathematics. John's teacher Sarah gives constructive criticism to John after seeing John's attempts on exercises related to the field he studies. Later, John ...
tryst with freedom's user avatar
3 votes
3 answers
737 views

New Math Teacher Seeking Advice [closed]

I am new to teaching math, especially middle school math. My own math education was limited to high school and college calculus. These were painful experiences. How to do I go about learning to teach ...
NewMathTeacher's user avatar
5 votes
4 answers
772 views

what could be some replacement language for the term "spoon feeding"

In some cultures, there is an expression of "spoon feeding" type of instruction, where the teacher shows how to do steps to a problem, and then students are assigned minor variants thereof. ...
usr0192's user avatar
  • 493
4 votes
1 answer
254 views

Is there a widely respected early childhood math curriculum?

If it's a good idea to work on reading and language from early childhood, I'd bet that it's a good idea to work on math and quantities too. I have an 18 month old. I've pretty much been winging it ...
Hal's user avatar
  • 579
5 votes
1 answer
343 views

How does the average level of expected mathematical sophistication at high school level increase?

I remember reading an old calculus book (years 1920-1930) and in the preface it was portrayed as revolutionary because it was for high school students. Nowadays, that is not revolutionary, because ...
tryst with freedom's user avatar
0 votes
2 answers
178 views

student doesn't bring a homework in a 1-to-1 class [closed]

What should a tutor do? I have students who even ask for homeworks, because they have desire for new knowledge in math. However, in my experience, most pupils hate mathematics. Should I ask their ...
Jan's user avatar
  • 11
19 votes
6 answers
5k views

Do I really need to cover solids of revolution in my Calculus I class?

I will be teaching Calculus 1 soon, using Stewart's Calculus: Early Transcendentals as a reference. I can't help but recall my time in high school AP Calculus and my first semester undergraduate ...
Justin Champagne's user avatar
18 votes
20 answers
8k views

How does one tutor an A-level student past the derivative paradox?

EDIT (two years later): I was saddened to realise that no-one seems to care at the school level. Everything I thought might be a problem ended up as a non-issue because no-one challenged anything. The ...
FShrike's user avatar
  • 458
2 votes
1 answer
189 views

How can maths assistants at a college be extra helpful for professors?

I am a maths graduate student. A little background: In the coming semester, I will be assisting a prof whom I admire and whom I also want to thank a lot, and I actually will have a lot of free time. ...
10understanding's user avatar
6 votes
0 answers
101 views

Converting an Online Course Back to In-Person

As I wrap up my Spring semester online courses, I'm starting to think about next Fall when (hopefully) our university will return to full in-person classes. Because of COVID, over the last year I have ...
Aeryk's user avatar
  • 8,025
5 votes
2 answers
506 views

Why are most college level math textbooks black and white only?

Why are higher level math textbooks almost completely black and white? I can't think of any math textbooks on a subject more advanced than calculus that uses colors. Edited to add that the comments by ...
Lina's user avatar
  • 51
4 votes
2 answers
155 views

Resources for teaching mathematical modeling to high school teachers

I am looking for resources for teaching math modeling to high school teachers with rusty math background. It will be a 6-week course. Some tips/directions on simple projects would be helpful. I would ...
Inquisitive's user avatar
10 votes
2 answers
3k views

Why are all educational textbooks copyrighted? ©

I had an idea to improve education in my country with the help of textbooks by popular authors. I thought to publish videos on YouTube with comments and practical explanations about what the author ...
Saynov Dias's user avatar
5 votes
2 answers
251 views

What is the name of this teaching style?

I'm planning to teach a series of lessons on expanding and factoring binomials using a certain visual method for my edTPA assessment. Each lesson is pretty much going to be structured the same way in ...
FoiledIt24's user avatar
  • 1,283
5 votes
1 answer
235 views

Sensible amount of repetition 7 year old

We are now in lock-down, so while homeschooling my son I get to se exactly what he does for math. He has been getting a huge amount of repetitive practicing of really simple math, despite being quite ...
Ivana's user avatar
  • 53
1 vote
2 answers
296 views

Is playing and teaching chess appropriate in private lessons?

I am giving tutoring to a high school student since more than one year and half. He is about 17 years old. He has excellent results in mathematics, being best student in his class for the last year ...
JKHA's user avatar
  • 113
3 votes
1 answer
545 views

How to explain the LCM algorithm to an 11 year old?

Tl;dr: I am trying to teach my sister how the LCM algorithm works but I just can't figure out how to explain it intuitively. The best explanation I can give is that you're trying to construct a number ...
tryst with freedom's user avatar
4 votes
4 answers
818 views

Teaching calculus in AP without the formal definition of the derivative

Years ago as a college freshman I was taking my first calculus course. Another freshman skipped it because he had calculus in Advanced Placement in high school. I mentioned we were learning the limit ...
Daniel's user avatar
  • 229
1 vote
2 answers
285 views

How can I teach $\frac{300}{200}$ to 10 years old students while s\he knows canceling the zeroes rule?

I am teaching math to a 10 year old student. He learned that $$\frac{300}{100}=\require{cancel}\frac{3\cancel{00}}{1\cancel{00}}=3$$ and $$\frac{6000}{300}=\require{cancel}\frac{60\cancel{00}}{3\...
C.F.G's user avatar
  • 113
2 votes
8 answers
513 views

Practical case for solving with system of 2 equations

When I teach basic math I want to emphasize on it's power (algebraic part for starters) as a tool for solving certain problems you cannot solve with naked brain, so that one models a problem with ...
Slaus's user avatar
  • 147
4 votes
0 answers
61 views

Looking for papers with teaching-oriented style

I am looking for papers that have the similar style to Hervé Lehning's 1989 The American Mathematical Monthly article "From Experimentation to Proof" (PDF link via lehning.eu). It's like ...
Best_fit's user avatar
  • 141
3 votes
2 answers
942 views

Is there an arithmetic book similar to “Teach Your Child to Read in 100 Easy Lessons” by Siegfried Engelmann?

I have found Engelmann’s book (mentioned in subject) to be extremely effective. Is there an equivalent to this book for teaching Arithmetic? I believe the overall approach or method is called Direct ...
Jonathan Muse's user avatar
6 votes
4 answers
682 views

What are other strategies for a 7 year old for addition and subtraction besides counting fingers?

We recently received feedback from our 7 year old daugther's school teacher. One of the things mentioned was that our daughter still counts her fingers when she does addition and subtraction. The ...
sbrattla's user avatar
  • 161
10 votes
2 answers
499 views

Is there research to back up the claim that math classes help develop analytical skills?

When I teach math classes, one goal I have in mind is to help students develop the cluster of thinking skills usually called analytical skills or critical thinking skills. And I think that math ...
David Elm's user avatar
  • 485
9 votes
4 answers
4k views

The Future of Worksheets - will they still be used or abandoned?

I run a German website for mathematics education. We produce lessons, each of which contains various kinds of media, such as an introduction, videos, wikis, software, worksheets, and online tests. We ...
Avatar's user avatar
  • 219
2 votes
3 answers
226 views

How to evaluate students in a "do all you can" exercise?

Imagine a math problem that consists in doing all sum operations you can in 2 minutes. And then imagine these are the correct operations each student has done (each list entry represents a different ...
Hagyn's user avatar
  • 123
38 votes
18 answers
9k views

How do I show students the Beauty of Mathematics?

I teach many high school students, and all of them complain about being unable to fully understand mathematical concepts. I try to show them the joy of learning and deepen their understanding through ...
Axel Tong's user avatar
  • 863
3 votes
1 answer
175 views

Why teaching undergraduate-level mathematics is so complicated? [closed]

Many of my professors are experts in their field, but they are just not able to teach. I mean: most of the times they are confusing, don't follow a logic sequence in their speech or keep a superior ...
dittì's user avatar
  • 59
4 votes
2 answers
205 views

Resources for Learning Multiplication Facts

A recent question (@Namaste) made me realize that it would be good to pull together the best resources for learning the multiplication facts. When seen as a rote memory task, this can turn students ...
Sue VanHattum's user avatar
  • 20.3k
3 votes
2 answers
368 views

How to teach linear programming and reductions?

Do you know any textbook with problems+solutions to support teaching of linear programming and reductions, and in particular, cover standard and slack forms, formulation of problems as linear programs,...
Drimades Boy's user avatar
9 votes
1 answer
777 views

How to (or should one) distinguish between lowercase and uppercase letters orally when lecturing?

I sometimes teach calculus in English whereas it's not my native language. For example, during a course about antiderivatives, how do you (orally) pronounce $f$ vs $F$? Which are the best? "the ...
Basj's user avatar
  • 273
1 vote
1 answer
116 views

How to address opportunities for improvement with a teacher

My daughter’s 5th grade teacher gives some pretty impossible questions and I don’t think she understands the material she’s teaching. For example, this question has no context from previous questions ...
Still.Tony's user avatar
2 votes
2 answers
195 views

Introductory exercise for the addition of large natural numbers

I'm starting a repetition with my students in 5th grade after they learned in elementary school how to sum up larger natural numbers (also 5- to 6-digits) by writing down that calculation. As ...
Rico1990's user avatar
  • 325
4 votes
2 answers
169 views

Road map to teach undergrads a first course in real analysis that concludes with convergence of fourier series

I am planning to teach (unofficially, I am a Grad student) a course in real analysis. Aim of the course is to understand the convergence of Fourier series. I want to start with the notion of ...
Praphulla Koushik's user avatar
8 votes
4 answers
355 views

Examples of informal explanations that cause misconceptions

Every good teacher knows that giving an informal explanation (that is, an explanation not based on strict definitions and maybe making use of metaphors, intuition, or everyday language) of a ...
Jorssen's user avatar
  • 569
7 votes
3 answers
1k views

Graph theory teaching materials for young students

Does anyone have any good sources to teach upper primary so grade 7 students basics on graph theory? The only ones I can find are for like upper middle school and high school, and having trouble ...
Aurora Borealis's user avatar
4 votes
4 answers
2k views

Best Way to Learn Trigonometry

What are the best resources to learn trigometry? I recently decided to pursue a BS in mathematics at uni. I used to fail all my math classes with D's or F's until I started teaching myself, and so far ...
Lex_i's user avatar
  • 496
11 votes
1 answer
5k views

Diagram of Methods to Solve Differential Equations

I am currently trying to build a flow chart to visualize all tests there are to tell whether an ordinary differential equation is solvable and how to solve it. This is for tutoring purposes. The ...
DLohmann's user avatar
  • 113
4 votes
2 answers
424 views

Enlighten younger students about the concept of "procedural justice" in mathematics?

I am tutoring a 16-year-old student from my home country (in Asia) in, roughly speaking, precalculus. I would like to give him a feeling of procedural justice, so to speak, in modern mathematics, ...
Yes's user avatar
  • 157
5 votes
7 answers
461 views

Category mistakes regarding symbols and their impact on math (mis) understanding. ( Object symbol/ sentence symbol confusion)

A friend of mine that teaches math has made many times the following experiment : drawing two circles on the blackboard representing two sets A and B such that A and B are disjoint writing on the ...
user avatar
6 votes
3 answers
275 views

How to overcome the frustration in teaching and doing research at the same time

I understand that this website is designated particularly for teaching-related topics. However as many of us do agree that being a lecturer, we are supposed to run both teaching and research duties at ...
Hoa's user avatar
  • 387