Unanswered Questions
20 questions with no upvoted or accepted answers
7
votes
0
answers
395
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Examples of multiple induction
It is easy to find/construct cases that can be proven by nested induction, i.e., some variation of the theme to prove the statement $P(m, n)$ you prove $P(1, n)$ by induction as a base case for $m$, ...
CommunityBot
- 1
7
votes
1
answer
237
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Research into how students read algebraic expressions
In answering another question What is the justification to teach the (redundant) use of parentheses in multiplications? I was left wondering what we actually know about students' progression in terms ...
- 107
6
votes
0
answers
78
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Support modelling cycle through differentiated means
I plan to work with my students on solving real-world problems through modelling them. Now it is my idea to follow the modelling cycle below.
The idea is to find with the help of two values that have ...
- 5,013
6
votes
0
answers
383
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What books properly address the properties of $a^b$?
Many students think
$\sqrt{a} \sqrt{b}=\sqrt{a\ b}$
$\sqrt{a^2}=a$
$\frac{1}{\sqrt{a}}=\sqrt{\frac{1}{a}}$
but none of the above are true when (a) and (b) are negative.
To avoid such problems, ...
- 241
6
votes
1
answer
257
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What is a less anglo-centric collection of persons than Andy, Beth, Carl, Debby and Earl?
These five imagined persons have accompanied me for some time. We've had a bunch of laughs and a few tears. I love them dearly. That said, I'd like to retire them in favor of a more culturally diverse ...
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5
votes
0
answers
98
views
Resources for teaching algebraic fractions to a dyscalculic pupil
I have a new student in math class (high school) since last month, and she's being diagnosed with dyslexia and dyscalculia. We are about to go into conic sections and she should be able to do some ...
- 805
4
votes
0
answers
138
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When can students understand the intersection of two circles?
I'm interested in learning two transitions:
(1) When can students reason (intuitively, but accurately) to conclude that two circles in the plane
could intersect in $0$, $1$, or $2$ points, or are ...
- 30k
4
votes
0
answers
177
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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 ...
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4
votes
0
answers
319
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According to Nathan Jacobson, what is Intermediate Algebra and Advanced Algebra?
Nathan Jacobson's Basic Algebra I, II covers many topics in Algebra that is probably even beyond many pure mathematics full professor's scope of knowledge, unless the professor is specialised in ...
- 4,275
3
votes
0
answers
76
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Examples of Financial Institutions that Compute Interest Atypically?
Are there examples of financial institutions that compound their interest more frequently than once-a-month? Are there examples of financial institutions that consider continually compounded interest ...
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3
votes
0
answers
71
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Are there any fun toy applications of representation and character theory for finite groups to physics?
Representation theory has very deep ties with physics, leading to incredibly profound and admittedly cool results such as the classification of particles in the Standard Model via mass and spin by ...
- 131
3
votes
0
answers
149
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The propagation of the wave equation in even versus odd dimension
I am about to teach a second year undergraduate class on applied differential equation (first time) and, while I won't have time to go into the details, I wanted to show my students the difference ...
- 31
2
votes
0
answers
62
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 ...
- 83
2
votes
0
answers
116
views
Measures to quantify complexity of algebra equation
Like the title says, I am looking for ways to measure the complexity of an algebra equation. For now, I am focused on linear equations, but I would think any metrics could be generalized for ...
- 121
1
vote
0
answers
136
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1st time math teacher 1st test feedback appreciated
I'm not a math teacher but I've stepped into the role to assist a small private school who lost their math teacher during the holidays (I'm a mechanical engineer by trade). The course is Algebra 1 (...
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