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Julie Shy

Real-world math problems are everywhere | - 3 views

blog.keycurriculum.com/...d-math-problems-are-everywhere

math_elementary math_middle_school math_high_school Problem_based-learning problem-solving inquir_based_learning critical_thinking

shared by Julie Shy on 19 Jun 12 - No Cached
  • Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace.” But I wonder if we often try too hard to create real-world problems when, if all we did were look around and ask “what do you wonder?” and “what do you notice?”, we would find that math problems are everywhere.
  • “I know that teachers are asking, “Are there any questions?” and “Do you understand?”; however, I’m not sure how many teachers are asking, “What do you notice?” or “What do you wonder?” So many times, teachers will ask if there are any questions, or whether students understand, only to be met with blank stares. This leads to nobody’s “needs” being met.”
  • “Asking good questions is key to any well-functioning classroom. The CCSS include students’ ability to communicate mathematically. Asking good questions gets conversations started. Simply by asking students what they notice and/or what they wonder, students will begin to communicate mathematically. Asking them what they notice and what they wonder puts the ownership back on the student, encouraging them to think and communicate about math.”
  • Julie Shy on 19 Jun 12
     
    We hear this everywhere - students should be doing "real-world" math and they should be applying what they learn in math to "real-world situations."
David McGavock

Kathryn Schulz: On being wrong | Video on TED.com - 1 views

www.ted.com/...ryn_schulz_on_being_wrong.html

behavior critical_thinking wrong failure TED wonder

shared by David McGavock on 28 Dec 12 - No Cached
  • So what I want to do today is, first of all, talk about why we get stuck inside this feeling of being right. And second, why it's such a problem. And finally, I want to convince you that it is possible to step outside of that feeling and that if you can do so, it is the single greatest moral, intellectual and creative leap you can make.
  • Augustine understood that our capacity to screw up, it's not some kind of embarrassing defect in the human system, something we can eradicate or overcome.
  • This attachment to our own rightness keeps us from preventing mistakes when we absolutely need to and causes us to treat each other terribly.
  • ...14 more annotations...
  • But when it comes down to me, right now, to all the beliefs I hold, here in the present tense, suddenly all of this abstract appreciation of fallibility goes out the window -- and I can't actually think of anything I'm wrong about.
  • You know, we're already wrong, we're already in trouble, but we feel like we're on solid ground. So I should actually correct something I said a moment ago. It does feel like something to be wrong; it feels like being right.
  • according to this, getting something wrong means there's something wrong with us. So we just insist that we're right, because it makes us feel smart and responsible and virtuous and safe.
  • The miracle of your mind isn't that you can see the world as it is. It's that you can see the world as it isn't.
  • when it turns out that people who disagree with us have all the same facts we do and are actually pretty smart, then we move on to a third assumption: they know the truth, and they are deliberately distorting it for their own malevolent purposes.
  • And to me, if you really want to rediscover wonder, you need to step outside of that tiny, terrified space of rightness and look around at each other and look out at the vastness and complexity and mystery of the universe and be able to say, "Wow, I don't know. Maybe I'm wrong."
  • most of us do everything we can to avoid thinking about being wrong, or at least to avoid thinking about the possibility that we ourselves are wrong.
  • So by the time you are nine years old, you've already learned, first of all, that people who get stuff wrong are lazy, irresponsible dimwits -- and second of all, that the way to succeed in life is to never make any mistakes.
  • The first thing we usually do when someone disagrees with us is we just assume they're ignorant. They don't have access to the same information that we do, and when we generously share that information with them, they're going to see the light and come on over to our team.
  • trusting too much in the feeling of being on the correct side of anything can be very dangerous.
  • And the thing is," says Ira Glass, "we need this. We need these moments of surprise and reversal and wrongness to make these stories work." And for the rest of us, audience members, as listeners, as readers, we eat this stuff up. We love things like plot twists and red herrings and surprise endings. When it comes to our stories, we love being wrong.
  • This internal sense of rightness that we all experience so often is not a reliable guide to what is actually going on in the external world. And when we act like it is, and we stop entertaining the possibility that we could be wrong, well that's when we end up doing things like dumping 200 million gallons of oil into the Gulf of Mexico, or torpedoing the global economy.
  • I've spent the last five years thinking about being wrong.
  • When that doesn't work, when it turns out those people have all the same facts that we do and they still disagree with us, then we move on to a second assumption, which is that they're idiots.
  • David McGavock on 28 Dec 12
     
     if you really want to rediscover wonder, you need to step outside of that tiny, terrified space of rightness and look around at each other and look out at the vastness and complexity and mystery of the universe and be able to say, "Wow, I don't know. Maybe I'm wrong."
David McGavock

What are the Fallacy Files? - 0 views

www.fallacyfiles.org/whatarff.html

fallacy what are critical thinking reasoning

shared by David McGavock on 21 Jun 10 - Cached
  • David McGavock on 21 Jun 10
     
    ... not just any type of mistake in reasoning counts as a logical fallacy. To be a fallacy, a type of reasoning must be potentially deceptive, it must be likely to fool at least some of the people some of the time. Moreover, in order for a fallacy to be worth identifying and naming, it must be a common type of logical error. "Some years after I began to amass these files, I wondered just what I ought eventually to do with them, how best to organize the information within them, and in what form to make them available to others interested in fallacy studies. The present hypertext web version, The Fallacy Files, was first published on March 11th, 2001, and is the result of this score of years of research and fieldwork on the fallacies. "
David McGavock

Truth is the foundation of trust | PostIndependent.com - 1 views

www.postindependent.com/...1022&parentprofile=1081

opinion critical_thinking evaluate media

shared by David McGavock on 12 May 12 - No Cached
    • David McGavock
      David McGavock on 12 May 12
       
      Something I agree with
  • Sometimes it seems as though all the infighting is self destructive and financially draining.
  • Well, $14 trillion of debt later, I wonder if she still likes the sound.
    • David McGavock
      David McGavock on 12 May 12
       
      Written with no acknowledgement of the situation that was handed to him. I would like to see the Ross Talbott plan for avoiding a depression.
  • ...3 more annotations...
    • David McGavock
      David McGavock on 12 May 12
       
      Truth, truth, truth. He repeats the need for truth and for relationship. At the same time he provides no basis for the arguments he makes. Truth requires evidence.
  • Who then, are the wise? Are they the ones who liked the way he sounded? Are they the ones who believe the lies?
    • David McGavock
      David McGavock on 12 May 12
       
      It would be helpful to have the details here rather than the chant that we can hear from "the press".
  • A famous saying is, “you shall know the truth and the truth shall set you free.” The opposite of truth is the lie, and the lie creates bondage and death. The lie is so dangerous because it is presented as truth by impressive and convincing people. The real truth is often initially painful but is always liberating. Truth is the light at the end of the tunnel.
  • David McGavock on 12 May 12
     
    One man's version of truth sans evidence.
David McGavock

Wanna Solve Impossible Problems? Find Ways to Fail Quicker | Co.Design - 2 views

www.fastcodesign.com/...lems-find-ways-to-fail-quicker

design solve problems thinking evaluate critical critical_thinking

shared by David McGavock on 11 Apr 11 - No Cached
  • a British industry magnate by the name of Henry Kremer wondered: Could an airplane fly powered only by the pilot's body? Like Da Vinci, Kremer believed it was possible and decided to try to turn his dream into reality. He offered the staggering sum of £50,000 for the first person to build a human-powered plane that could fly a figure eight around two markers set a half-mile apart.
  • A decade went by. Dozens of teams tried and failed to build an airplane that could meet the requirements. It looked impossible.
  • MacCready’s insight was that everyone who was working on solving human-powered flight would spend upwards of a year building an airplane on conjecture and theory without a base of knowledge based on empirical tests. Triumphantly, they would complete their plane and wheel it out for a test flight. Minutes later, a year's worth of work would smash into the ground.
  • ...4 more annotations...
  • The problem was the problem. MacCready realized that what needed to be solved was not, in fact, human-powered flight. That was a red herring. The problem was the process itself.
  • He came up with a new problem that he set out to solve: How can you build a plane that could be rebuilt in hours, not months? And he did.
  • MacCready’s Gossamer Condor flew 2,172 meters to win the prize. A little more than a year after that, the Gossamer Albatross flew across the English Channel.
  • So what's the lesson? When you are solving a difficult problem, re-frame the problem so that your solution helps you learn faster. Find a faster way to fail, recover, and try again. If the problem you are trying to solve involves creating a magnum opus, you are solving the wrong problem.
  • David McGavock on 11 Apr 11
     
    "Wanna Solve Impossible Problems? Find Ways to Fail Quicker A case study in how an intractable problem -- creating a human-powered airplane -- was solved by reframing the problem. " So what's the lesson? When you are solving a difficult problem, re-frame the problem so that your solution helps you learn faster. Find a faster way to fail, recover, and try again. If the problem you are trying to solve involves creating a magnum opus, you are solving the wrong problem.
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