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posted by Fnord666 on Monday February 05 2018, @05:36AM   Printer-friendly
from the common-sense dept.

Mathematician Keith Devlin writes about how the capabilities to work with maths have changed since the late 1960s. He summarizes what he considers to be the essential skills and knowledge that people can focus on as more and more is turned over to software.

The shift began with the introduction of the digital arithmetic calculator in the 1960s, which rendered obsolete the need for humans to master the ancient art of mental arithmetical calculation. Over the succeeding decades, the scope of algorithms developed to perform mathematical procedures steadily expanded, culminating in the creation of desktop and cloud-based mathematical computation systems that can execute pretty well any mathematical procedure, solving—accurately and in a fraction of a second—any mathematical problem formulated with sufficient precision (a bar that allows in all the exam questions I and any other math student faced throughout our entire school and university careers).

So what, then, remains in mathematics that people need to master? The answer is, the set of skills required to make effective use of those powerful new (procedural) mathematical tools we can access from our smartphone. Whereas it used to be the case that humans had to master the computational skills required to carry out various mathematical procedures (adding and multiplying numbers, inverting matrices, solving polynomial equations, differentiating analytic functions, solving differential equations, etc.), what is required today is a sufficiently deep understanding of all those procedures, and the underlying concepts they are built on, in order to know when, and how, to use those digitally-implemented tools effectively, productively, and safely.

Source : What Scientific Term or Concept Ought to be More Widely Known?


Original Submission

 
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  • (Score: 4, Interesting) by stretch611 on Monday February 05 2018, @07:29AM (4 children)

    by stretch611 (6199) on Monday February 05 2018, @07:29AM (#633187)

    I really wish that these would be common knowledge.

    Mainly because of the religious nutjobs.

    Having Faith is usually a good thing... when you use it to deny facts faith goes too far.

    Yes, evolution is a theory... "Intelligent Design" is only faith.

    There is room for both faith and scientific theory... but the uniformed masses that use one solely to discredit the other need to get a clue.

    Scientific Theory should be taught in classrooms... faith should be taught in church, not schools.

    --
    Now with 5 covid vaccine shots/boosters altering my DNA :P
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  • (Score: 0) by Anonymous Coward on Monday February 05 2018, @09:45AM (1 child)

    by Anonymous Coward on Monday February 05 2018, @09:45AM (#633216)

    the uniformed masses

    So you say it's the uniforms that are the problem?

    • (Score: 2) by bob_super on Monday February 05 2018, @06:25PM

      by bob_super (1357) on Monday February 05 2018, @06:25PM (#633368)

      I've read enough Hentai to know where this is going.

  • (Score: 2) by bzipitidoo on Monday February 05 2018, @06:28PM

    by bzipitidoo (4388) on Monday February 05 2018, @06:28PM (#633369) Journal

    This.

    Schools like to skate over the basics of science, things like the very definition of science, and dwell on the details. Sure, they cover the scientific method, but in about the same manner as a construction worker is introduced to a new tool. Barely mentioned is the crucial distinction between the natural and the supernatural, and the concept of objective reality. The classic philosophy questions "what is the meaning of life?" and "why are we here?" are entirely overlooked in K-12 school, put off and relegated to college philosophy as if that's specialized knowledge of interest only to those majoring in philosophy. Even "why is 1+1 equal to 2?" is not taken seriously, at best begged with the idea of mathematical axioms. Incompleteness is not mentioned. Reasoning is not well taught.

    Perhaps religious conservatives are responsible for keeping the philosophy of science out of high school, as they surely understand it would make imposing their dogma a lot harder. Their attacks on the Theory of Evolution are not really attacks on evolution, they are attacks on science. Trying to show them tons of evidence in support of evolution misses the point, not addressing their contention that we can't know that an intelligent designer isn't faking us out.

    Another possibility is that scientific philosophy is too hard for the teachers. Consequently, they shy away from it. If it hasn't been done, we could use a high or even middle school level class on it. If teachers really are the "those who can't do, teach" people, they would indeed have a rough time grappling with a difficult subject such as scientific philosophy. It should be possible to make it much less difficult, suitable for middle school students.

    Or, perhaps educators count too much on the extremely impressive scientific advances and the technology that has spawned and with which we've surrounded ourselves, to make the case far more powerfully than mere lectures ever could.

    A seemingly unrelated deficiency is that most people are abysmal at personal finance. It's badly taught, or not taught at all. There's a lot more to the subject than the math, though number sense is pretty important for figuring out whether a financial proposal is a good deal or not.

  • (Score: 3, Interesting) by SomeGuy on Monday February 05 2018, @06:59PM

    by SomeGuy (5632) on Monday February 05 2018, @06:59PM (#633383)

    I disagree that there is room for both. By its very nature, science chips away at religion or "faith". The more one understands science and the world around them the more one may and should question the proof-less alleged existence of Imaginary Sky Fairy(s). (Of course, the number one rule of Imaginary Sky Fairy is "do not question Imaginary Sky Fairy")

    You can try and simply avoid stepping on the toes of nutjobs, but then you wind up with schools "teaching" science like this: https://www.penny-arcade.com/comic/2017/09/18/dropping-science [penny-arcade.com] And people wonder why all of our science and technology jobs are going to China.

    Teaching science needs to be heavily beefed up, and if it steps on some religious nutjob's toes or kicks them in the groin, well - THERE IS NO SUCH THING AS GOD, sorry about that :-/

    These days the word "faith" usually comes across, more accurately, as meaning "ignorance". Of course teaching anything about the real world may put a dent in that.