260 pts ยท October 20, 2013
I save math posts. Some day I will repost them all and take ALL TEH INTERNETS. Or not. I'm a mathematician, not a fortune teller.
Because CC. It's new, & shaped by math/pedagogical considerations the lay person hasn't had exposure to. Add in politics, stir: controversy
HSA.APR.D-6: "[...] write a(x)/b(x) in the form q(x) + r(x)/b(x), [...] using inspection, long division, [...], computer algebra system"
You're right, an education under cc with its emphasis on understanding place value instead of algorithmic manipulation would have helped her
Here's an older video explaining a bit of the benefit to L-->R summation: https://youtu.be/l6y7lMsmKno
Not dumb. While left-->right isn't in common core, flexibility with place value is. A successful student should be able to sum L--> or R-->L
Nah, you really don't need to, thanks to commutativity. It might even be better to work Left->Right: easier to keep track of place value.
Good news, then: it wasn't! http://mathbabe.org/2014/02/11/interview-with-bill-mccallum-lead-writer-of-math-common-core/
A rose by any other name... Generally, we use 'angle' for the thing formed by 3 pts, while 'curve' is any (connected) collection of pts.
I am inordinately happy that *this* was the post that got you to join.
Okay, I'm with you on that, then. I had "algebraic"="symbols": showing a/b=x/d => x = ad/b, rather than numerically thinking x/10=3/5 => x=6
It's harmful for number sense, but they actually provide a great context for building the algebraic understanding.
None of these are in the Common Core standards. Building human calculators would be a terrible goal, given that we have computer calculators
Not all tricks are created equal. I recommend http://nixthetricks.com/index.html for some holiday reading!
Even better: the sum you get is the remainder! 71/9 = 7r8
There's a few reasons given here: http://www.youcubed.org/fluency-without-fear/ Successful memorization is good, but isn't always successful
Ah. Keep in mind the tests =/= CC. Your daughter has the advantage of starting with these standards; she'll benefit more than current Ss do
But this is all speculation on my part, not knowing the teacher. I appreciate you providing a specific example for the discussion! 4/4
be designed to encourage pattern recognition/exploitation: counting 1-by-1 is inefficient-->excuse to do skip-counting learned last year 3/4
The goal might be to emphasize the relation mult. has with arrays and computing area, ensuring solid foundation for geo/calc; might also 2/4
Mm, I can see that; but hash marks aren't anywhere in CC. Best guess is the T is looking to enforce "multiplication is grouping" (3OA1) 1/4
We do. It's called being NCLB certified. I mean, you don't have to have the *major*, but some way to show expertise in the subject.
How many ways to learn have you seen? If you know the secret to teaching please share, as the teachers & content experts who shaped Core did
out-out from... common core? So, unschooling then?
That last one is the new one! Who knows how awesome the potentially thousand unknown shapes are -- if they even exist!
Art! New puzzle piece shape! Modular containers! The algorithms used to find the shape can be transferred to new contexts! ANYTHING WE WANT!
Draw a shape with 5 angles. Keep drawing that shape, rotating and flipping, touching sides but never overlapping. Can you avoid having gaps?
Yes! A fantastic grasp for the logic and geometry of dimensions. Interesting read: http://www.ams.org/notices/201006/rtx100600706p.pdf
Good question. Mathematical Recreation (1953) called 'em Mosaics. 1975 Gardner wrote "On tessellating the plane with convex polygon tiles"
Whoawhoawhoa is this OC? MATH OC??? That's some high-quality gifing you did for us!
I am okay with this.
Because CC. It's new, & shaped by math/pedagogical considerations the lay person hasn't had exposure to. Add in politics, stir: controversy
HSA.APR.D-6: "[...] write a(x)/b(x) in the form q(x) + r(x)/b(x), [...] using inspection, long division, [...], computer algebra system"
You're right, an education under cc with its emphasis on understanding place value instead of algorithmic manipulation would have helped her
Here's an older video explaining a bit of the benefit to L-->R summation: https://youtu.be/l6y7lMsmKno
Not dumb. While left-->right isn't in common core, flexibility with place value is. A successful student should be able to sum L--> or R-->L
Nah, you really don't need to, thanks to commutativity. It might even be better to work Left->Right: easier to keep track of place value.
Good news, then: it wasn't! http://mathbabe.org/2014/02/11/interview-with-bill-mccallum-lead-writer-of-math-common-core/
A rose by any other name... Generally, we use 'angle' for the thing formed by 3 pts, while 'curve' is any (connected) collection of pts.
I am inordinately happy that *this* was the post that got you to join.
Okay, I'm with you on that, then. I had "algebraic"="symbols": showing a/b=x/d => x = ad/b, rather than numerically thinking x/10=3/5 => x=6
It's harmful for number sense, but they actually provide a great context for building the algebraic understanding.
None of these are in the Common Core standards. Building human calculators would be a terrible goal, given that we have computer calculators
Not all tricks are created equal. I recommend http://nixthetricks.com/index.html for some holiday reading!
Even better: the sum you get is the remainder! 71/9 = 7r8
There's a few reasons given here: http://www.youcubed.org/fluency-without-fear/ Successful memorization is good, but isn't always successful
Ah. Keep in mind the tests =/= CC. Your daughter has the advantage of starting with these standards; she'll benefit more than current Ss do
But this is all speculation on my part, not knowing the teacher. I appreciate you providing a specific example for the discussion! 4/4
be designed to encourage pattern recognition/exploitation: counting 1-by-1 is inefficient-->excuse to do skip-counting learned last year 3/4
The goal might be to emphasize the relation mult. has with arrays and computing area, ensuring solid foundation for geo/calc; might also 2/4
Mm, I can see that; but hash marks aren't anywhere in CC. Best guess is the T is looking to enforce "multiplication is grouping" (3OA1) 1/4
We do. It's called being NCLB certified. I mean, you don't have to have the *major*, but some way to show expertise in the subject.
How many ways to learn have you seen? If you know the secret to teaching please share, as the teachers & content experts who shaped Core did
out-out from... common core? So, unschooling then?
That last one is the new one! Who knows how awesome the potentially thousand unknown shapes are -- if they even exist!
Art! New puzzle piece shape! Modular containers! The algorithms used to find the shape can be transferred to new contexts! ANYTHING WE WANT!
Draw a shape with 5 angles. Keep drawing that shape, rotating and flipping, touching sides but never overlapping. Can you avoid having gaps?
Yes! A fantastic grasp for the logic and geometry of dimensions. Interesting read: http://www.ams.org/notices/201006/rtx100600706p.pdf
Good question. Mathematical Recreation (1953) called 'em Mosaics. 1975 Gardner wrote "On tessellating the plane with convex polygon tiles"
Whoawhoawhoa is this OC? MATH OC??? That's some high-quality gifing you did for us!
I am okay with this.