Why playing with algebraic and calculus concepts—rather than doing arithmetic drills—may be a better way to introduce children t
The familiar, hierarchical sequence of math instruction starts with counting, followed by addition and subtraction, then multiplication and division. The computational set expands to include bigger and bigger numbers, and at some point, fractions enter the picture, too. Then in early adolescence, students are introduced to patterns of numbers and letters, in the entirely new subject of algebra. A minority of students then wend their way through geometry, trigonometry and, finally, calculus, which is considered the pinnacle of high-school-level math.
But this progression actually “has nothing to do with how people think, how children grow and learn, or how mathematics is built,” says pioneering math educator and curriculum designer Maria Droujkova. She echoes a number of voices from around the world that want to revolutionize the way math is taught, bringing it more in line with these principles.
The current sequence is merely an entrenched historical accident that strips much of the fun out of what she describes as the “playful universe” of mathematics, with its more than 60 top-level disciplines, and its manifestations in everything from weaving to building, nature, music and art. Worse, the standard curriculum starts with arithmetic, which Droujkova says is much harder for young children than playful activities based on supposedly more advanced fields of mathematics.
“Calculations kids are forced to do are often so developmentally inappropriate, the experience amounts to torture,” she says. They also miss the essential point—that mathematics is fundamentally about patterns and structures, rather than “little manipulations of numbers,” as she puts it. It’s akin to budding filmmakers learning first about costumes, lighting and other technical aspects, rather than about crafting meaningful stories.
Image I.D. — “I am awfully greedy; I want everything from life. I want to be a woman and to be a man, to have many friends and to have loneliness, to work much and write good books, to travel and enjoy myself, to be selfish and to be unselfish… You see, it is difficult to get all which I want. And then when I do not succeed I get mad with anger.” — End I.D.
i go on bluesky until the liberals piss me off, i go on tumblr until the communists piss me off, i go on twitter until the bitchy reactionary girls and gays piss me off
i fucking hate the “this is the good luck post.” Girl stop contributing to a superstitious environment with ur anecdotes there’s a million goddamn notes on it it’s statistically reasonable that a bunch of people remember the good things that happen after they reblog it
(British guy with well managed but serious problems voice) Well I like making a cup of Earl Grey every morning and evening, reaching my hand into the boiling mug to get the teabag, then touching the cold handle of the fridge to get milk. It’s probably the most enjoyable sensation I regularly experience, so it’s best to limit it to only twice a day.
1. The court holds Google responsible for statements made by its AI, considering them Google's statements (search engines have limited liability for results in their engine as they're the words of other sites/companies/people), meaning when their AI lies/hallucinates they're liable for the defamation/harm resulting from those statements.
2. Google's defense that customers are generally aware of the lack of reliability and are responsible for fact checking was dismissed. As the court pointed out, that would "significantly diminish" AI Search's stated purpose and it can't be distinguished from Google's business practices/statements as a search tool.
3. Studies have found about 91% of Google's everyday AI responses are accurate, leaving millions of searches per HOUR with potential liability for falsehoods. 56% of correct responses weren't supported by the sources the AI listed. Both of which mean Google is now liable for a LOT more AI "errors."
4. Google was held liable for 80% of court costs in this case and this precedent is expected to reverberate around the world. This is a massive shift from the 3rd-party search provider role Google has previously played and it comes right as they've tied ALL searches to their AI search.
one of the funniest conversations I ever had with my ex was when they were still getting used to Celsius and asked me "what's 20 degrees?" and instead of converting it, I said "it's the highest your dad will ever let you set the thermostat and when you say you're cold he tells you to put on another sweater, we're not made of money" and they went "oh, 68"
the fact that this reference was that fucking precise was something they went on to tell people about for years.
titsay
stormborns
theartofmadeline
kianamaiart
baratheonpilled
snowghoul
