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"Alternative Math" - The confusing times we live in

bcglorf says...

Your missing the point though.

They start in grade 1/2 teaching you that 2+2=4 is incorrect. Instead you were supposed to write down:
2 is 1+1 and 1+1+1+1=4.

Then by grade 3/4 they are asked to solve 2+2. They now answer:
2 is 1+1 and 1+1+1+1=4

and are told incorrect. They are now supposed to use two different methods to solve the same problem and the correct answer is:
2 is the same as 1+1 so 1+1+1+1=4.
Alternately, 2 is 1 more than 1. I know 1+2 is 3, so If I add 1 that's 4.

Those aren't proofs. The addition operator isn't even a theorem to be proven, it's a definition.

I'm on board with teaching more advanced and abstract concepts in grade school. However, actually DO THAT. The stupidity of our provincial system is that they aren't doing that at all. They are performing all this mental masturbation to make basic arithmetic into some bastardised thing that kinda resembles proofs. You know, except the part where your 'proof' is worthless because solving 2+2 by replacing 2 with 1+1 is just substituting one axiom for another.

Teach kids the arithmetic and then teach them actual MATH proper, ideally easing them into the abstract aspect through algebra and not stupid tricks that fail to give them a good understanding of the actual concepts.

The point I underlined about Grade 11 still covering it is important. The students are being left so confused about what they are expected to give as an answer that so many still don't know basic arithmetic by Grade 11 that they still include it as part of the basic curriculum.

newtboy said:

I didn't like doing proofs either. That doesn't make them less math.
That's proofs....not idiocy. Training your brain to see different routes to the correct answer makes more difficult math far easier.
People learn (or don't) at different rates. I took AP B/C Calculus while some friends were in remedial math. My cousin graduated (waldorf) and can't add double digit numbers. Now, if you can't place out of remedial math, that's a problem, but the fact that they don't just give up on 11th graders that still don't know the basics is a good thing.

FizzBuzz : A simple test when hiring programmers/coders

fuzzyundies says...

Simple tests like this are meant to reveal how comfortable an applicant is at interpreting a problem and quickly translating it to code. It's analogous to how math tests in school required you to translate word problems to algebra. If someone struggles at this stage, they probably won't be a good coding hire. Or instead they might show some foresight into likely problems, gotchas, scalability, or testing.

I've been whiteboarded in a few interviews, and I've been hired based on a phone call. I don't know what the best method is, but I really hate the idea of "instant-fail" questions with a narrow "correct" answer. It's better to ask a few relatively easy, open-ended questions and see how comfortable the applicant is.

Mordhaus (Member Profile)

The Horse Horseshoe Boots Viral Algebra Problem

nanrod says...

I would never down vote a video like this simply because it offends my knowledge of math and logic and irritates the hell out of me. These kind of problems have been coming my way on facebook repeatedly and they do get huge numbers of comments with wildly different solutions. Actually out of the 500,000 comments claimed for this one probably half of them give 42 as the answer. My problem comes from the assumption that an algebraic variable represented by a symbol (an image of a boot) bears some inherent relationship to a different symbol (two boots). Even if you make that leap that two boots is two separate variables, if there is no operand between them they should be multiplied, not added. In algebra a term such as 3AB equals 3 times A times B not 3+A+B. Unfortunately in this problem with two horseshoes equaling 4 it works either way but if two boots equals 2 then one should equal the square root of two and the correct solution would be 21.414.

The Horse Horseshoe Boots Viral Algebra Problem

Mordhaus says...

http://mindyourdecisions.com/blog/2016/09/07/the-horse-horseshoe-boots-viral-brain-teaser-the-correct-answer-explained/

From everything I've read, including this link, it's really just a basic algebra problem. What appears to make it difficult is that people who don't use algebra and math all the time will not know the specific rules with equations.

As far as posting it, why do we post anything here? This piqued my interest and I thought it might be something others would enjoy. If it isn't something you care for, don't vote or down vote.

Suspected Math Terrorist Removed From Plane for Questioning

Girlfriend Stumped by "Riddle"

poolcleaner says...

She was thinking algebraically, but incorrectly assuming x and y. So go ahead and remove algebra so dumb people don't apply it incorrectly.

KrazyKat42 said:

And states want to remove algebra from high schools because too many kids fail algebra. Sad.

Girlfriend Stumped by "Riddle"

Tom Hardy Aggressively Responds To Sexuality Question.

Don't Stay In School

RFlagg says...

I was thinking the same thing. We had a good deal of choice of what classes to take. I didn't take Lit, but I did do the basic English classes, where we read some Shakespeare and the like, but not to the degree the Lit students did. I didn't do any complex math classes either, I did Algebra. But then I also did Applied Business, or whatever it was called. I did Civics with the base History classes. I did Home Economics in 9th grade, not a required class, but an elective. Woodshop was another example of an elective class. Have they removed electives from schools? If not then it's this dude's own fault for not choosing the proper electives. If they are gone and all that is taught is the core, then there may be too much core.

I got to disagree with the video's premise that Math, History and the cores aren't needed. Do you need Calculus, no but you should graduate with a strong understanding of basic Algebra. History is important to, though I'm not sure the methods used are effective, route memorization of facts and dates for tests, rather than a general understanding of history and how to avoid the same mistakes. Teaching for tests period is a problem... Lit isn't important and should remain an elective, but having read some of the "classics" is important too, even if it is just a quick Cliff Notes sort of version of it (do they still have Cliff Notes?) Actually a Cliff Notes rundown of lots of the "classics" would probably be better than what most English classes do, while encouraging students to read more modern what they want fare for reports and the like. I didn't take Biology, but basic Science understanding is important, problem is it's politicized and rather than stick with the facts, too many people want to introduce at the very least doubt about the facts if not introduce ideological ideas that contradict the facts and are based on a misunderstanding of what the facts actually say... due to a messed up literal reading (well when it's convenient to take literal, other times things are dismissed as "literary" or "poetic" be it about the Earth not moving or bats being birds and on and on) of one particular bronze age book.

Also you can't teach people who to vote for... you gain understanding of the issues in History and Civics... so...

How to move away from testing is a tricky thing. You need to prove you have an understanding of how to form an Algebraic formula and to solve one. You need to prove you understand the issue(s) of the Civil War and the basic era (I'm not convinced you need to remember exact dates, know it was the 1860s), same with the other wars. What was one's nation's involvement in the World Wars and what caused those wars in the first place, and again basic era, if you don't know the exact year of the bombing of Pearl Harbor or D-Day or the dropping of the atomic bombs, okay, but a basic close approximation of the years. For English you need to prove you can write and read, and a basic understanding of literature, not details of classic books, but narrative structure etc. There should perhaps be more time spent on critical thinking and how to vet sources. You need to have a basic enough understanding of science not to dismiss things as "just a theory" which proves you don't know what theory means in science, and don't ask ridiculous questions like "if we came from monkeys why are there still monkeys" instead you should be able to answer that. You should be able to answer properly if somebody notes that CO2 is good for plants or that compact fluorescent have mercury in them so they aren't better for the environment than older bulbs.

How does one prove these things without tests? That's the question. And it needs to be Federally standardized to a degree to ensure that you don't have lose districts teaching that the Civil War wasn't about slavery nearly at all, rather than the fact it was the primary reason, or that Evolution is "just a theory", or deny the slaughter of the Native Americans or interment of Japanese Americans. You need to insure that all students are getting the same basics, and insure they have a good range of choices for electives. It's the basics though that basically need tested for, and I personally can't figure out a way to prove a student knows say what caused the Civil War or that they know what Evolution actually is, or how to form an Algebraic formula to solve a real life problem without a test.

spawnflagger said:

Most of the stuff he mentioned (human rights, taxes, writing a check, how stock market works, etc) were taught in my high school civics class. My high school (and middle school) had other practical classes too - wood shop, metal shop, home-ec, etc.

Of course all this was pre no-child-left-behind, so who knows how shite it is now compared to then...

Don't Stay In School

MilkmanDan says...

I thought the video made a good point, but rather different from the one I assumed it was going for before watching.

As I was finishing up my senior year of High School after 4 years of taking crap for being a nerd etc., a friend/acquaintance of mine was starting her freshman year. She got picked on also, probably worse than I had had it. She made it through 1 semester before dropping out. Then she got a part time job for a half-year, took night classes at the local community college, and got her GED.

At the time, I thought she was making a terrible decision by not sticking it out and trying to get through High School the usual way -- 4 years of hell. But then, the next year she ended up at the same University where I was, both as Uni-freshmen, and she handled the much more mature University environment just fine.

It ended up completely turning the tables for me, to the point that I thought that her path of dropping out -> GED -> Uni was actually objectively superior to my suffering through the more traditional path.

So, that's what I thought "don't stay in school" was going to refer to.


But the actual message is good as well. The best classes that I had in Middle and High School were more practical things. But oddly enough, the best examples of that for me were my math classes. I had the same teacher for Geometry, Algebra 2, Pre-Calc, and Calculus (AP, so equivalent to Calc 1 at a University). He stressed the real-life applications of advanced mathematics by doing lots of word problems, and only teaching topics that he could point to concrete, real-world applications for. And by letting us use calculators for everything as long as we could explain WHY specific operations were needed to answer the questions.


...So, long-winded response boiled down:
I like the message. More practical stuff in school is better. And feel free to drop out -- especially if doing so is just a shortcut to further education at a University, Vo-Tech, or whatever.

school of life-what comes after religion?

enoch says...

i think some here are missing the point of this short video.
while we can all argue the particulars of religion,it's failings and its successes,the fundamental reasons for its existence remains.

the militant atheist will argue holy text with the very same literalism that a fundamentalist exhibits,all the while ignoring the massive contributions to humanity in the realms of:art,philosophy,politics and even science.

while this dynamic of the argument is not necessarily wrong,it is,however,inaccurate.one cannot ignore,nor dismiss the positive contributions of religions,which have been legion.this does not mean that religion is above reproach nor criticism,just that a militants argument is incomplete without acknowledging this vital facet of human history.

the problem gentlemen,is fundamentalism,of ANY flavor.
religion is not going anywhere,much to the chagrin of atheists,but the reasons why humanity gravitates towards religion,or a search for the divine and sacred,remain a very powerful influence.

religion must,and has over the centuries,evolve to incorporate the paradigms that are added daily.the religion that is rigid in its interpretations and implaccable in its philosophy...dies.human history is littered with the remains of lost religions that refused to evolve with humanity.

a good example is the dark ages.which was partially perpetrated by a rigid understanding of christian theology (and an abuse of power and authority)affecting millions.it halted human progress and imposed a suffering and misery that is still remembered to this day.then the church experienced a philisophical shift and the reformation was exacted,ending the dark ages and introducing the 'age of enlightenment"...and human progress was allowed to proceed.

interestingly enough,while this was all happening in europe and human misery was a direct result of religious rigidity,the muslims were carrying the torch for human progress.making such additions as algebra and other huge strides in the sciences.

how is that for irony?

fundamentalism,in any form,must be fought at every level.so on that note i tend to side with atheists who are on a constant vigil in revealing the utter hypocrisy of a fundamentalist theosophy,but i will not ignore the wonderful and fantastic contributions that religion has added to human history.

because the fundamental reason why humanity gravitates toward religion is still there and it is not going anywhere.so religion,like man,must evolve to encompass the new paradigm in order to express our humanity,inspiration and awe in the face of the divine.

i am not an overly religious man.
that form of theosophy is not my path,but i recognize the importance of religion and its positive contributions.the challenge is to allow the more archaic and atrophied theosophy to fall away and dissolve like a vestigal limb.keep the parts that inspire and exalt humanity and allow the unnecessary and irrelevant to die with dignity,to become a footnote in our history.

which is what i gathered this video was attempting to convey and why i found it interesting.

@shinyblurry
thanks for the link buddy,now i am depressed.

@bobknight33
please do not take offense when i say:your last comment is so riddled with contradictions,fallacies and outright ignorance in the understandings of -religious history,politics and philosophy that i cannot even begin to address a singular point.that comment is just one big mess.

i will say this in regards to your comment.
to assert that atheists have no moral compass due to their lack of faith and/or religion is just patently bullshit.unless of course,you secretly wish to murder,steal and bang your neighbors wife and the ONLY thing keeping you from acting out is your fear of god.
or hell..whatever..judgement.

do you see what a facile and inept argument that is? morality is inherent to each individual.we all develop our own moral code.now religion can help clarify that moral code,but if you take religion away? we still will all have a moral code we live by.

we also rationalize.
ah..now there is something we humans excel at..rationalizing.or better put:lying to ourselves in order to justify poor behavior.here is where the atheist and the religious diverge.because the atheist has no holy text to twist and manipulate in order to justify that poor behavior,they have to own it and take responsibility.the religious person,however,can abdicate responsibility onto an ancient text based solely on their own interpretation (or some authority they have given power).human history is burdened with the mass graves of such justifications.

ok..i am rambling.
i love this subject and rarely get to engage in discussions such as this.if you have made it this far..i thank you for your kind patience with my own proclivities towards verbosity.

Racism in the United States: By the Numbers

robbersdog49 says...

Here, take as long as you want. All the info and sources are exactly where he says they are, in the YouTube description. I've copied them here for you. If he hadn't provided all of these I might be inclined to agree with you. But he did provide the evidence, so you don't just have to believe the buzz words, you can actually check it out for yourself.

SOURCES

On average, black men's prison sentences are 20% longer than white men's for comparable crimes: http://www.wsj.com/articles/SB1000142...

Black people and white people use illegal drugs at similar rates, but black people are far more likely to be arrested for drug use: http://www.vox.com/2014/7/1/5850830/w...

African Americans are far more likely to be stopped and searched (although the contraband hit rate is higher among white people) in California: http://articles.latimes.com/2008/oct/...

And in New York (where the data isn't quite as good but appears to be comparable to CA): http://www.nyclu.org/content/nypd-qua...

Those wrongfully convicted and later exonerated by DNA are disproportionately African American: http://www.innocenceproject.org/Conte...

Black kids are far more likely to be tried as adults and more likely to receive life sentences: http://www.nytimes.com/roomfordebate/...

Black former convicts get fewer employer callbacks than white former convicts: http://www.irp.wisc.edu/publications/...

Emily and Brendan are more hirable than Lakisha and Jamal: http://www.chicagobooth.edu/capideas/...

On that front, this study is also interesting: http://psycnet.apa.org/journals/apl/9... and similar results have been found in the UK: http://www.theguardian.com/money/2009... and also in Australia: http://ftp.iza.org/dp4947.pdf

Also, this news story has some great analysis: http://www.nytimes.com/2014/12/25/bus...

High schools with mostly African American and Latino students are less likely to offer courses in Algebra II or Chemistry than high schools with mostly white students: https://www.documentcloud.org/documen...

This article explores many of the other ways that increasingly segregated schools have negatively affected African American students: http://www.nytimes.com/2014/12/21/sun...

And this story discusses the fact that African American students are more than twice as likely to be suspended as white students--even in preschool. http://www.npr.org/blogs/codeswitch/2...

The ACP report on racial disparities in U.S. health care: http://www.acponline.org/advocacy/cur...
This (dated) study is also damning: http://www.ncbi.nlm.nih.gov/pubmed/36... and there's lot of good info here: http://en.wikipedia.org/wiki/Race_and...

More info on increasing disparities in life expectancy between black and white people in the US: http://www.ncbi.nlm.nih.gov/pmc/artic...

The most recent polls show fewer white people thinking racism is not a problem than the ones I used in this video (although still a huge divide): http://www.cnn.com/2014/12/22/politic... and http://www.washingtonpost.com/politic... and http://www.thefiscaltimes.com/2014/12...

Racial wealth disparity and the role that inheritance plays: http://iasp.brandeis.edu/pdfs/Author/...
Related wikipedia article: http://en.wikipedia.org/wiki/Racial_i...

The widening of the wealth gap: http://www.pewresearch.org/fact-tank/...

Nonvideo recommendations: I really like Roxane Gay's work in Slate and The Butter; this story in the NYT http://www.nytimes.com/2014/12/25/bus... Chris Rock's recent interview at http://www.hollywoodreporter.com/news..., and Ashley Ford's commentary and analysis: https://twitter.com/ismashfizzle. Also Kiese Laymon's wriitng is great, including http://gawker.com/my-vassar-college-faculty-id-makes-everything-ok-1664133077

ulysses1904 said:

"By the numbers", which means "recent surveys", "studies have shown", "a nationwide poll", "let's look at some data", "overwhelming evidence has shown". All the statistical buzz phrases. I would rather see this issue presented in a ponderous TED presentation than this overly glib Michael Moore cartoon short.

To be clear, my problem is with the messenger, not the message.

best anarchist speech i have ever heard

enoch says...

@newtboy
we agree.
i think the difference lies in this:
1.you attempt to change the system by using the very system you acknowledge is corrupt.i find this extremely noble,and yes..optimistic (sincerely) ,but is about as effective as chewing bubble gum to solve an algebra equation.

2.i find the system to have made itself irrelevant by the very virtues it purports to uphold.
equal under the law? not even close.
for the people by the people? oh yeah? which people? certainly not you or i.
defense and security? if that means wars of aggression.
civil liberties? for whom? in this security and surveillance state?we are the most surveilled...the most propagandized..the most indoctrinated.

the system we have now is no longer representative of the original intent of our forefathers.who were looking to build an empire but as a republic,pretty inventive and ingenious.

i do not submit to this authority because they lost the right to that authority.
i know the real power is where it has always resided:the people.

the system is broken and it is time it is taken down.

but as you stated,some are under-educated and i'll add that some are over-educated and indoctrinated.either way,we find ourselves in a society of vapid consumerism,immense inequality and where we,shamefully,criminalize the poor.

so when is this revolution starting? i'll bring the beer.
cuz i aim to misbehave....

Rational, Irrational.. So Many Numbers: Transcendental Darts

siftbot says...

Tags for this video have been changed from 'rational, irrational, number, defined, algebra, algebraic' to 'rational, irrational, number, defined, algebra, algebraic, Vi Hart' - edited by Trancecoach



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