Earlier quoted context omitted.
It's a choice, known but flawed vs potentially better or worse. It's already there in many places, the world is complex and everything moves from imperfect state to another imperfect state. To me the value is that it's obviously the right direction. Mechanical learning in mathematics is very very damaging for kids that can't click right away, and even those who get the picture may fail later on by abstracting at the…
" To me the value is that it's obviously the right direction. " Yes, but if all we're going on is "hope" and "politics", then we have absolutely no way of knowing if it's the right direction as you say. As the other poster mentioned, they could have easily done some studies of common core before throwing it at the wall to see if it sticks. Change is never good if it's for its own sake. It may be intuitive for us to t…
2+2=What? Parents rail against Common Core math
101–110 of 116 posts
Re: 2+2=What? Parents rail against Common Core math
#102Earlier quoted context omitted.
Academic preparation Caltech says you should have [1]: 4 years of math (including calculus) 1 year of physics 1 year of chemistry 3 years of English (4 years recommended) 1 year of U.S. history/government (waived for international students) They really want you to have calculus. From the admissions FAQ [3]: What if my high school does not offer Advanced Placement (AP) or International Baccalaureate (IB) courses? Many…
What does CalTech do for students who didn't get first semester calculus? Are they basically not admitted, or is there some summer crunch course for bringing them up to speed? (Most, but not all, MIT students enter with their first semester under their belts and part of the second, so the second semester calc class offered to first semester freshman is traditionally a wild monkey cage of chaos and freshmen held insid…
And as I can attest, there's this nice bit about how they have many fewer spaces than qualified applicants, not going into the minor detail of if you were one of the latter (I wasn't).
CalTech is very special, even more so than MIT I gather (I'm Class of '83 of the latter). Much smaller, 1/4 the class size (~250 vs. 1100), much more intense, much more science focused. Someone, commenting on how they'll clean up your room every week (a service MIT is sadly lacking in :-), said it was like a Hogwarts for science, and very simply, if you can't do magic at its level, they don't accept you.
For some historical perspective, as I understand it, at the post-Civil War beginning of MIT, most students were mastering the calculus by the end of their undergraduate program.
(And our "freaky" unit numbering is great, totally transparent, and at least at MIT there's a committee dedicated to the task of keeping professors and departments in line with the Institute's limits on work demanded, and has been known to take classes away from abusive professors. That's also done at the departmental level, as I witnessed one semester while on the EECS department's staff (took over and finished the sysadmin part of the job of moving it from Multics to UNIX(TM), with the help of one on and off student like me who was an old friend).)
Re: 2+2=What? Parents rail against Common Core math
#103Earlier quoted context omitted.
Thanks for the clarification. I changed schools a few times growing up and "missed out" on some actual courses called "prealgebra" and "precalculus", which lead to my assumption. I think what really helped me pick up different branches of math was actually getting the motivation from somewhere. My learning of Discrete Math was fueled by my interest in programming; for Calculus it was the neat applications in Physics.…
You're very welcome, and indeed, back in my days, late '70s for high school, not only did we have to walk uphill both ways in snow to get there, but the computer programming course was taught in conjunction with the local college, probably the same course they used. It was punched card FORTRAN "IV" on an IBM 1130 (scare quotes because IBM's definition of FORTRAN IV was so permissive this compiler only have numeric if…
P.S. I contend that {n,t,g}roff is still a lot better than typing out a paper in MS Word, though I mostly stick to LaTeX for that sort of stuff nowadays.
Re: 2+2=What? Parents rail against Common Core math
#104Calculus can be taught to anyone independent of age. It is not a unit of difficulty. I think people are railing at teaching math to children because they themselves suck at math. Your inability to grasp subject matter is not proof that something is wrong or too hard. http://commonsensequantum.blogspot.com/2010/11/geometric-rep...
Re: 2+2=What? Parents rail against Common Core math
#105Earlier quoted context omitted.
1) "counting on". 19 + 7 is (starts counting on) 20, 21, 22, 23, 24, 25, 26 (realise that 7 fingers have been used, stop counting on) 26 1a) "partitioning" 8 + 7 is 8, jump 2 to 10, then jump 5 to 15. 2) "thinking and estimating". 3998 + 4997 is nearly 4000 + 5000 and is exactly 4000 + 5000 - 5 3) traditional columns with units, tens, hundreds, etc. Note that these are teaching small children how to manipulate number…
So they are being taught some optimisations that they'd normally learn later? Doesn't sound too bad.
Re: 2+2=What? Parents rail against Common Core math
#106Some of the comments here refer to a period of "reform math" instruction BEFORE the introduction of the Common Core State Standards in mathematics,[2] which are actually quite recent. Implementation of the Common Core in school classrooms in the United States is only a year or two old today. The Common Core was an attempt to introduce coherency and logical progression into the mishmash of topics that characterized "reform math" textbooks such as Everyday Math (which is probably the best and most mathematically sound of the reform math textbooks) and TERC: Investigations, among other titles. The Common Core standards are generally regarded, as curriculum standards, as a plain improvement over what most states set as mathematics curriculum standards before.[3] On the other hand, many of the mathematics who criticized the preceding period of "reform math" instruction (basically most United States school practice in the twenty-first century) think that the current Common Core textbooks and teacher training courses still don't go far enough in improving instruction.
As a parent, I expect and welcome school instruction in any topic that is better and more research-based than what I received as a child. The quotations from parents in the article kindly submitted here along the lines of "Why should my child be expected to learn things I don't understand?" seems like a very bizarre approach to parenting to me. (As a homeschooling parent, I used the Miquon Math[4] and Singapore Primary Mathematics series[5] with great success in helping my four children learn their elementary mathematics. They have been able to go on to more advanced mathematics study with relative ease. I had to learn new topics and new techniques to use those materials, but that is good for me. I was lucky that my wife, educated in Taiwan, largely understands the approach taken in the Singapore materials, but so far both of our older two sons have gone well beyond the mathematics study level of either of their parents. Education is supposed to improve from generation to generation, or what are schools for? (That's why we homeschool--we lay a good foundation for our children with the best available curricular materials to get them ready for classes with teachers who know what they are doing for our children's secondary education.)
[1] http://www.theatlantic.com/education/archive/2014/04/confusi...
[2] http://www.corestandards.org/Math/
[3] http://educationnext.org/the-common-core-math-standards/
[5] http://www.singaporemath.com/Primary_Mathematics_US_Ed_s/39....
Re: 2+2=What? Parents rail against Common Core math
#107And how many different ways is there to add two numbers?
Re: 2+2=What? Parents rail against Common Core math
#108I suffered through this sort of math with my kids. I'm afraid that this may end up being flamebait, but here goes... These reformed Math programs are a tremendous mess being foisted on us by "Education" professionals and academics. Instead of teaching one, well-tested method of performing operations (addition, subtraction, etd.), these programs present a number of alternative "algorithms". In Everyday Math (the progr…
What was the Singapore book you used to re-teach your daughter mathematics if you don't mind me asking?
[1]http://www.singaporemath.com [2]http://www.oecd.org/pisa/keyfindings/PISA-2012-results-snaps...
Re: 2+2=What? Parents rail against Common Core math
#109Ooh. 28 submission points for 104 comments. I'm glad that the submitter submitted the article. On the other hand, it may be correct (as is apparently the judgment of most participants here) that the article just isn't that informative. See an important article from The Atlantic, "Confusing Math Homework? Don’t Blame the Common Core: States, districts, and schools are actually in charge"[1] for more on what's really g…
And the submitter is glad that you're glad that he submitted the article.
>the article just isn't that informative
Indeed. One of the things that's awesome about HN is that, given merely a topic of interest, many HNers will delve more deeply, look for concrete information, pull citations, and generally drive more thoughtful discussion around the base topic.
Accordingly, I've frequently found discussions on HN to be far more insightful and informative than the initial submissions.
For example: https://news.ycombinator.com/item?id=7752318
Off to research Singapore Primary Mathematics. Thanks for the tip.
Re: 2+2=What? Parents rail against Common Core math
#110And at least in my area, students must take the math class at their age level, at least through elementary school. Now students that excel at math get bored and hate it, and students who need extra help can't get it. That is the wrong way to improve education.