Newest Questions

3 votes
0 answers
38 views

Live Note Sharing for Teaching

When teaching, I often use my iPad to take notes. I usually use GoodNotes or some infinite canvas apps (which don’t limit the width or height of the writing space). However, many students don’t fully ...
Hana's user avatar
  • 151
5 votes
2 answers
374 views

Need to know the proper format for writing the intermediary steps of a calculation while still maintaining accuracy

I have a question in regards to decimal places. This question could also apply to any requirements, whether to show to one, two, or more decimal places in the final answer. If I am asked to provide an ...
Rachel Walker's user avatar
-1 votes
2 answers
312 views

Engineering applications of epsilon-delta?

Epsilon-delta definitions are obviously better than infinitesimal-based definitions because of tradition dating from the heroic era of Weierstrass's disciples. On the other hand, in an old comment, ...
Mikhail Katz's user avatar
  • 2,297
0 votes
2 answers
138 views

Pros and Cons of NOT converting percentages to fractions or decimals

This is a question on the role of the concept of percentages. In working with percentages it is traditional to convert any percentages to decimals or fractions before using them further in written or ...
pdmclean's user avatar
  • 1,083
3 votes
1 answer
372 views

What are good strategies to teach mathematics course to MSc students who have average knowledge of previous concepts?

I am teaching a course to MSc mathematics students at a university. This is my first time teaching. Due to online teaching in their undergraduate courses during Covid, the level of the students is ...
Learner's user avatar
  • 133
-5 votes
1 answer
98 views

How do I teach Zero? [closed]

This is for kids, and I feel there are two parts to this specific teaching. First part is where you "teach mind" where you start with say 2 Apples and then 1 Apple and then 0 Apple, it's ...
Ashish Shukla's user avatar
4 votes
3 answers
339 views

Why is undergraduate math taught often in ignorance of computer science?

I recently started learning more computer science, and I find that the language we use there can be used to give succinct descriptions of many of the phenomena that come up in proofs. For example, if ...
Clemens Bartholdy's user avatar
4 votes
3 answers
320 views

Would this be considered cheating in the typical high school / college math class?

Please consider the following hypothetical situation: A student is taking calculus and has been given homework problems to do. The homework is graded and the student is not given the correct answers. ...
Bob's user avatar
  • 143
1 vote
0 answers
69 views

Looking for insights on a new framework for teaching math through clear trails and familiar anchors [closed]

I’ve been working on a new instructional framework for modern math based on irreducible route units and roadmaps, where logical steps are explicitly justified and anchored to familiar concepts and ...
Mathman's user avatar
  • 11
10 votes
4 answers
2k views

Integer division - what to do when the number of groups to break the dividend into is negative?

As most of us may know, when dividing an integer by another integer, we can break the dividend as shown in the following image: The one constraint when we teach integer division with this method is ...
niobium's user avatar
  • 427
6 votes
1 answer
2k views

mathematical metaphors in Alice's adventures

Reading these articles: https://www.nytimes.com/2010/03/07/opinion/07bayley.html https://www.newscientist.com/article/mg20427391-600-alices-adventures-in-algebra-wonderland-solved/ It seems Lewis ...
Humberto José Bortolossi's user avatar
1 vote
2 answers
99 views

Seeking Suggestions: Engaging Math Topics for Higher Secondary Students

I hope you’re doing well! I’m looking for suggestions on engaging, fun, and interactive topics to teach higher secondary students, assuming they have only a middle school-level understanding of ...
GA316's user avatar
  • 111
1 vote
0 answers
109 views

Categorizing Method of Contradiction

How can the Method of Contradiction be formally classified into distinct types of proofs—such as proof by infinite descent—and in what ways does each category apply to different classes of ...
Janaka Rodrigo's user avatar
3 votes
3 answers
249 views

Geographic differences in the way in which trigonometry is taught

\begin{align} \text{If } & \alpha+\beta+\gamma = 180^\circ = \pi \text{ radians} = \text{half-circle,} \\[8pt] \text{then } & \sin(2\alpha) + \sin(2\beta) + \sin(2\gamma) = 4\sin\alpha\sin\...
Michael Hardy's user avatar
7 votes
5 answers
657 views

Role of AI in student cheating in online mathematics

I have heard anecdotal evidence that the rise of certain user friendly AI tools in the past year or two ( Chat GPT etc. ) has led to great improvement in online math course assessments ( homework and ...
James S. Cook's user avatar

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