Timeline for Analyzing an answer to the following problem: Give meaning to $\frac{4}{5} + \frac{2}{3}$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 19, 2021 at 2:03 | comment | added | JRN | @RustyCore, in my experience with Philippine basic education, it is done, but I can't say if it is done intentionally. | |
| Apr 18, 2021 at 15:50 | comment | added | Rusty Core | Do teachers do this intentionally when grading papers? | |
| Apr 17, 2021 at 19:31 | comment | added | Improve | Interestingly the student's answer gives a good intuition for why $\frac{a}{b} \leq \frac{a+c}{b+d} \leq \frac{c}{d}$. The fraction of daffodils of the total cannot be more than the fraction of daffodils of Beatrice and cannot be less than the fraction of daffodils of Anna. | |
| Apr 17, 2021 at 16:31 | comment | added | BCLC | freshman sum --> ah like the freshman's dream. nice. | |
| Apr 17, 2021 at 16:18 | comment | added | JRN | If you have the time, you can spend a meeting talking about mediants and how they relate to Farey sequences, Stern-Brocot sequences, and Simpson's paradox. | |
| Apr 17, 2021 at 16:13 | history | edited | JRN | CC BY-SA 4.0 |
added 45 characters in body
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| Apr 17, 2021 at 16:08 | comment | added | JRN | Note that the mediant operates on "fractions" (ordered pairs) and not on rational numbers. For example, the mediant of 1/2 and 2/3 is 3/5, but the mediant of 2/4 and 2/3 is 4/7, so your notation $(a,b)\star(c,d)=\frac{a+c}{b+d}$ shows a good understanding of the situation. | |
| Apr 17, 2021 at 16:06 | history | answered | JRN | CC BY-SA 4.0 |