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4
votes
1answer
94 views

Computing eigenvalues by hand without determinants

I'm teaching a linear algebra class and I'm considering presenting eigenvectors and eigenvalues without using determinants, as in Axler's book Linear Algebra Done Right. (See also Axler's paper "...
-3
votes
1answer
47 views

How to make an online survey with a confirmation student email? [closed]

I have a class of 200 students, each has a unique (public) university email. I want to make a survey related to a teaching topic and send it to each student (since I know their emails). My question: ...
-4
votes
0answers
47 views

Regression analysis for latent variables [closed]

How do I combine 6 different items into one variable, so that we will have 6 variables, using SPSS? I have used a 18 item questionnaire - a Likert scale - with 5 points (strongly agree - strongly ...
5
votes
0answers
109 views

Are there measurements of how much mathematics people remember after high-school?

These days I got curious about something: Are there measurements of how much mathematics people remember after high-school?
2
votes
2answers
62 views

Math Modeling search results data set

This year, I will be teaching a Math Modeling course to a group of motivated high school students. One topic we will discuss is providing good search results from an online query. Here's the problem. ...
4
votes
1answer
146 views

Research on Waldorf/Steiner mathematics education

I am broadly interested in research on mathematics education in the Waldorf/Steiner educational context, primarily in the upper secondary school setting, but not exclusively. Information about Waldorf/...
1
vote
1answer
93 views

Resources to qualify for AIME

I am trying to qualify for AIME this year and get a score of at least $5$ or $6$. (If anyone doesn't know, AIME is the American Invitational Mathematics Examination. You need to get a decent score on ...
0
votes
1answer
60 views

Which grade students should be able to solve applied economy / business / profit prediction exercises?

I've designed a few applied problems with business analytics/money calculations. However, I'm not sure which age (or rather, which grade) are those best to introduce. on one hand, solution uses only +...
6
votes
1answer
154 views

Standards based grading design principles

I have taught some SBG courses in the past, and I am planning on converting all of my courses to SBG. I have enjoyed teaching these courses, I believe that students have learned more, and students ...
8
votes
2answers
355 views

Should we assess ability to use specific problem solving methods, or general ability to solve problems?

This is my first semester being an instructor of record for a college algebra course. One of the sections we cover is "methods of solving quadratic equations", where we discuss factoring and ...
7
votes
3answers
383 views

Resources for mathematics for sustainability

I am looking for resources (books, websites, etc.) for mathematics relevant to or in the context of sustainability, broadly construed, at upper secondary or early undergraduate level - so not ...
10
votes
2answers
136 views

What is a good math “curriculum” for a mathematically precocious 4-year old?

I am parent to a 4-year-old son who is mathematically precocious. An example of what I mean (since I'm sure guys like Gauss were proving theorems at 4): He multiplies and divides small numbers easily,...
2
votes
1answer
131 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. ...
-1
votes
2answers
70 views

Can anyone help give pointers of Mathematics Story Telling Animated Videos for Age Group 10 - 15?

Ideally, these videos should talk about a real life problem which student can relate to and then showing logically how the problem can be solved. Later bringing in the right mathematical tool to solve ...
1
vote
1answer
63 views

Reference request: an introduction to triangular, square, and other figurate numbers

There are dozens (maybe thousands) of websites that explain what triangular numbers, square numbers, etc. are. I'm searching for a printed book that includes this material, preferably at a level that ...
-2
votes
1answer
262 views

Why are math test scores dropping in America? Lack of student responsibility movement [closed]

Someone asked me this question today. Why do you honestly believe that high school math test scores in America (particularly the United States) are low compared to other countries? I thought about ...
8
votes
2answers
1k views

Is there a place where I can buy well made calculus 2 and calculus 3 lesson plans and power points?

Is there a place where I can buy well made calculus 2 and calculus 3 lesson plans and power points? There is a good chance I'll be having my first semester of full time teaching next semester. If so, ...
1
vote
2answers
221 views

Real before complex analysis or vice versa?

I used to learn Real Analysis before Complex Analysis in my bachelor study, but now the order is reversed in my university. I would like to ask which order is better to learn the subjects, and which ...
1
vote
0answers
42 views

Which websites provide real-time updated Jupyter notebooks for Python teaching? [closed]

Often, I find it useful to teach some Python to students. In-person classes are easy in this regard, I can just go to colab.research.google.com and show them the concepts there. (It requires no ...
14
votes
8answers
6k views

Why is differential calculus often presented before integral calculus?

Why is differential calculus often presented before integral calculus? Note: I'm still learning calculus at the moment. It seems that many elementary calculus texts describe differential calculus ...
-3
votes
3answers
664 views

Why so many single-variable calculus textbooks? But still no equivalents to Visual Group Theory or Complex Analysis for other subjects?

OUP published Visual Complex Analysis in 1999. MAA published Visual Group Theory in 2009. But no visualization counterparts have been published for other subjects like (Commutative) Algebra, ...
6
votes
5answers
676 views

Does the way we often introduce the concept of a function make sense?

Here are some ideas and a few questions I've been pondering lately related to the teaching of functions in college algebra and precalculus: Based on my experience, the teaching of functions usually ...
4
votes
2answers
233 views

Applications of the annihilator from linear algebra

I am currently assisting a course for future teachers at university level for a joint education in maths and physics in Germany and I have a question regarding the use and possible application of the ...
9
votes
1answer
535 views

Looking for copies of Vasily Vasilovich Davydov's mathematics curriculum

From The Development of Algebra in the Elementary Mathematics Curriculum of V.V. Davydov (by Jean Schmittau, State University of New York at Binghamton , and Anne Morris , University of Delaware ) one ...
1
vote
2answers
210 views

Is there a book or Web site that explains how to use and teach the Singapore math block model?

I have been examining sites that illustrate the use of the block model for solving problems. I am an adult with a degree in math and I have an interest in seeing how math can be taught. From what I ...
5
votes
2answers
379 views

Undergraduate-level abstract algebra books or courses that don't start with groups or rings

When I was an undergrad studying abstract algebra, we used the second edition of Artin and covered groups first and then rings. Fields, vector spaces, and algebras came later, I think. I remember ...
2
votes
0answers
136 views

Peter Liljedahl “Thinking Classroom” pedagogy: what is evidence for its effectiveness?

Peter Liljedahl discusses a lot about "thinking classrooms". There is research and books, which show, that his methods transform classes from "non-thinking" to "thinking"....
5
votes
0answers
111 views

How to get student with ADHD to practice exercises consistently

Background I have recently started tutoring a 14-year-old student who is diagnosed with ADHD and was struggling with passing a basic math course (think basic linear equations systems, first and second ...
0
votes
3answers
163 views

Highly intuitive yet comprehensive and easily readable (student friendly) book on linear algebra which do not focus much on applications, just basics

I came to know about Gilbert Strang's two books, "Introduction to Linear Algebra" and "Linear Algebra and its Applications". The first is the one used as the text in the 18.06 ...
3
votes
3answers
169 views

What is the English word for the French “repère”?

I'm preparing a holiday class in computer graphics. The class will be held in English. I'm a French speaker and I'm fighting with some words which have lots of meanings to find the right one in the ...
5
votes
1answer
187 views

Making the leap from Pre-Calculus to Calculus

This question is targeted at teachers who taught both low and high level mathematics. I have a group of students that I'm currently teaching precalculus and they seem to be doing really well in all ...
7
votes
5answers
407 views

Creating an Engaging Class Atmosphere

I would like to start out next year by creating a classroom community. This year I noticed a lot of burnout towards the second half of the year. Basically, I want to see what kinds of games/activities ...
5
votes
4answers
687 views

Teaching Mathematics to a Machine Learning Class

How and what mathematics must be taught for training engineering students with the mathematics required for Machine Learning? How can one conduct training of mathematics required for application-...
-2
votes
3answers
154 views

A linear equation — my approach

Here is an example of a lesson I did on linear equations where my objective was to show that they are equations of first degree. The reason I do it this way is because I tend to find that students ...
33
votes
11answers
2k views

Big list of “interesting” abstract vector spaces

When introducing an abstraction it is important (in my opinion) to have a wide variety of examples of this abstraction. Since finite dimensional real vector spaces are classified up to isomorphism by ...
3
votes
2answers
176 views

Teaching words with multiple meanings in Mathematics and English

We want to teach about words that have multiple meanings, in mathematics and English for middle school children (e.g., function, root, or, volume, angle, constant). This is for students who are ...
6
votes
5answers
1k views

How do math professors select textbooks?

I will describe what I mean by the above with an example. Suppose you are a professor, about to teach a first Calculus course in a university. There are dozens, if not hundreds, of calculus books out ...
4
votes
2answers
106 views

Textbooks with solutions and catering to different circumstances

Questions: Are we really taking students into account FULLY when writing textbooks for various areas? Also, are we being unintentionally elitist or dismissive when neglecting to take a more humble ...
13
votes
7answers
2k views

An introductory example for Taylor series (12th grade)

I (a student) am doing a presentation on Taylor series in my class (12th grade, in Germany if this is relevant). I am looking for a good example where you can see when Taylor series might be useful. ...
3
votes
6answers
2k views

Why can an easily graphable definite integral, be labyrinthine to evaluate?

How can I explain to 16-year-olds, who just started calculus, why it's so nettlesome and tricky to symbolically integrate definite integrals, when their graphs look so unremarkable and straightforward?...
2
votes
1answer
157 views

Not sure what a student is misunderstanding on this Stat question

Here is the solution I presented: (a) P(G|B) = (5/24) * (.125) = .026. Since you select ONE senior manager, then P(B) is 4/23. Now, if we are dealing with a second employee who is also a senior ...
2
votes
2answers
166 views

How to explain continuity and differentiability to highschool students? [closed]

I would say continuity is the idea that points numerically close to the input point of a function agree with the value of the function at that point. Now, suppose I introduce the idea of a derivative, ...
1
vote
5answers
452 views

Proportional density function question

Here is a question I gave on an exam last year. Please let me know what you think of the question (eg: if it is a fair question, easy, difficult, etc). A lot of students were upset for questions like ...
40
votes
22answers
9k views

Response to Students Who Say “This Is Not Important”

Lately, my students keep telling me why what we are learning is not important. They ask me when will we use this in the real world? I explain how math is important in gambling, cooking, finance, ...
3
votes
4answers
295 views

Explain to 10 year old — Why do 3D mental pictures usually suffice for high-dimensional geometry?

My 10 year old daughter is trying to read this book — please explain in Simple English that she'll grasp. Kindly see the embolded phrases below. The author doesn't expound why the 3D "mental ...
6
votes
4answers
134 views

How to grade group project or group assignment?

I am writing a syllabus for a statistics course which I will teach next year. My plan includes a group project for students. To reflect the contributions of each students, I want to grade the project ...
4
votes
5answers
295 views

Is it a good idea for elementary school students to observe and discover the “circle perimeter formula” themselves without being dictated to?

Let them discover $\;\ell=2\pi R\;$ by their own, at least the invariance of $\ell/R$ Do you think that the following method works well in a mathematics class of elementary school? What do you think ...
1
vote
2answers
122 views

Arithmetical Progression

I recently came across a very old Algebra textbook from the 1860s, and on the chapter discussing "arithmetical progression", it says there are "20 cases for arithmetical progression&...
21
votes
9answers
4k views

Why do we introduce the notion that triangles are “congruent” instead of just saying that they are “the same” or “equal”?

The assumed age of the students is 10-15 years old. What is the danger in saying that two triangles are "the same" or "equal" instead of saying that they are congruent? It seems to ...
10
votes
4answers
1k views

Different Teaching Styles for Different Genders?

I was recently looking through job listings in my local area (US high school, ages 14-18) and I found two boarding schools with vacancies, one was male-only and the other was female-only. This got me ...

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