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Is there a simple explanation for calculus classes of why partial fractions work?

23+ hour, 3+ min ago — 

...reaching only the top half of a standard Calculus class here at Michigan... ...As a general note, I've found that sum and product notation, and... ...Actually, I think the general case is easier to understand....

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Greatest common divisor applications

1+ day, 22+ hour ago — 

...of periodical curves such as Roulettes (Spirograph curves), Star Polygons... ...Another classic is the following: Going back to Euclid, I have found... ...I think for the most elementary level of introduction Joel and Benjamin... ...should try too. $3.$ This one may overflow for a high school student...

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Proof by Contradiction vs. Proof of Negation

2+ week, 4+ hour ago — 

...nProof by contradictionnI steal an example from Neil Strickland... ...can read a great account of the difference in this blog post of Andrej... ...The infinite Ramsey theorem implies the finite one.... ...What strategy stealing shows is "This player does not have a winning...

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secondary education - solve 1 <2. does it make sense to ask this? - Mathematics Educators Stack Exchange...

1+ week, 1+ day ago — 

...my students would say: Teacher, there is nothing to solve for .....

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secondary education - solve 1 <2. does it make sense - Mathematics Educators Stack Exchange

1+ week, 1+ day ago — 

...my students would say: Teacher, there is nothing to solve for .....

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Generating function example

1+ week, 1+ day ago — 

...first 12 pages, until Fibonacci numbers and Ch 1.4 "a three term... ...nNow all examples till Ch 1.4, has solutions without generating... ...question, answer, and the article linked on the accepted answer: MO...

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Why are most teachers seem to have a rule-following approach in teaching mathematics?

1+ week, 3+ day ago — 

...However, my teacher never did the proof.... ...["I am a Calculus student at a private high school....

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Reference request for 1960s-1970s Australia/NZ primary-level textbooks

1+ week, 3+ day ago — 

...and New Zealand in the period immediately following decimalization... ...These may be with or without Imperial units of length, weight, etc...

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Students' Messy Sheets: The Big Problem of Exams and Homeworks

1+ week, 4+ day ago — 

...Student: But at this point.... ...Student: But this (slightly different) argument works.... ...Student: But it is clear from Y.... ...Student: (Leaves with new insight but the same grading… In most cases...

 


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