Questions tagged [mathematical-pedagogy]
For questions on general considerations and problems of teaching mathematics, such as issues specific to teaching mathematics that are relevant in various contexts or courses.
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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 ...
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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-...
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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 ...
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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 ...
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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 ...
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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 ...
user24090
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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
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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 ...
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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 ...
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Engaging in a puzzle without a guidance of a leader while simultaneously being a component of that puzzle
I have done couple of activities and experienced how interestingly students are engaging. At the end I explained the Mathematical concepts related to the activities. Here I'm suggesting two of those,
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Recreational mathematics to create sense of mathematics
Recreational mathematics serves as a valuable educational tool by enhancing interest, fostering engagement, and refining mathematical thinking. While it often falls outside traditional curricula, ...
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Comparison of two ways to introduce translation to 12-14 year olds
I consider pupils 12-14 years old, who are new to translation. On the other hand, they have been accustomed to placing points in a coordinate system, especially when studying relative numbers. In ...
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Why use the vague notion of "vector" when you have $\mathbb R^2,\mathbb R^3,\mathbb R^4,\ldots$?
I'm reading an introductory course on groups. In this course, the author illustrates concepts using the vectors of the plane. For example, "the set of vectors in the plane(or in space) is a group ...
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About a difficult exercise for 12 years pupils
You have to go from a point $A$ (start) to a point $B$ (arrival) by crossing a river $(d)$ and traveling as little distance as possible.
Pupils first do a search by trying several paths $1,2,3,4$ and ...
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When Interpreting "If A, then B" as "A coupled with B" is rational?
It is known that the meaning of a conditional statement in fuzzy logic can vary depending on the interpretation and context. As we know, some ones interpret "if A, then B" as "A coupled ...
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