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Chris Harrow

Mathematics: What is it like to have an understanding of very advanced mathematics? - Q... - 1 views

  • I'm interested to hear what very talented mathematicians and physicists have to say about "what it's like" to have an internalized sense of very advanced mathematical concepts
  • Mathematicians will often spend days thinking of a clean argument that completely avoids numbers and strings of elementary deductions in favor of seeing why what they want to show follows easily from some very deep and general pattern
Chris Harrow

MOOCtalk - 0 views

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    An interesting 'blog from Stanford's Keith Devlin (NPR's Math Guy) who is documenting his thinking as he prepares to offer a MOOC (Massively Open Online Course) on Mathematical Thinking.  This is an incredibly compelling read if you are interested in transition issues from secondary to college, the future potential of online courses, and/or mathematics education.
Chris Harrow

Story Telling, Teaching, and Mathematics « Mr Honner - 0 views

  • a surprising source of mathematical problem-solving and teaching
Chris Harrow

Musing Mathematically: Linear Functions With A Bang - 0 views

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    A mathematical focus, but also great commentary on teacher hesitancy regarding math. Reform is NOT about "high-energy teachers [giving] vague tasks to groups of interested students."
Chris Harrow

Dear Governor: Lobby to Save a Love of Reading - SchoolBook - 0 views

  • By asking young students to spend time taking tests like this we are doing them a double disservice: first, by inflicting on them such mediocre literature, and second, by training them to read not for pleasure but to discover a predetermined answer to a (let’s not mince words) stupid question.
  • Literary texts, whether by A.A. Milne or Leo Tolstoy, always admit multiple interpretations — and the greater the work, the more robust the tension among these readings, and the graver the loss in trying to reduce the work to a single idea.
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    While focused on teaching reading to elementary students, the points raised here apply also to mathematics teaching ... reducing everything to a single way and a single answer is stifling, minimizing, and counterproductive.
Robert Ryshke

Teaching + Today - 0 views

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    A site on project-based learning in mathematics.
Chris Harrow

Professional blog | 21st Century Educator - 0 views

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    From outside the US, but this article (and its link to its opposing article) does lay out one aspect of the mathematics debate that has been raging in the US for decades
Chris Harrow

Presenting to learn: learning math by talking about it : Mathematical Communication - 0 views

  • In other words, students can improve their understanding of math by communicating about it. The following resources describe or illustrate how giving presentations or talking about math can help students to learn math.
Chris Harrow

What goes into mathematical thinking? - 0 views

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    "So, learning math is somewhat like learning to read: we can do it, but it takes time and effort, and requires mastering increasingly complex skills and con- tent. Just about everyone will get to the point where they can read a serious newspaper, and just about everyone will get to the point where they can do high school-level algebra and geometry-even if not everyone wants to reach the point of comprehending James Joyce's Ulysses or solving partial differential equations."
Chris Harrow

These people are not male, white, bearded or bald - Republic of Mathematics blog - 0 views

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    "The following images are of black women who are research mathematicians. There are not enough of them, and their talents and abilities are not recognized in the wider community to the extent they should be."
Chris Harrow

Are after-school math centers really worth the money? - Magazine - The Boston Globe - 0 views

  • “One stereotype we have not been able to break in the United States is that ‘faster is smarter,’ ”
  • “Sometimes it’s the person who is more reflective and introspective about thinking through the problem and might take a little longer to get to the answer who illustrates more understanding of the mathematics involved.”
  • students learn math best when the focus is on exploration and understanding, not just regurgitation and computation
Chris Harrow

{Musing Mathematically}: Measuring Roots - 0 views

  • For many students, no matter their age, math begins with an answer. You then form a question, jeopardy style, to help disguise the number.
  • Most students learn to expect math questions and problems to be short, quick, to the point, solvable and structured around "clean" answers (often related in some way to integer components). They anticipate the answers before they anticipate the questions. I am not sure if they even consider the math.
  • They completely miss the point and the empowering strength of math process and pattern.
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    This is a spectacular posting that could be used with ES or MS students (or possibly HS students, too) to explore square roots.
Chris Harrow

An Open Letter to Sal Khan « Mathalicious - 1 views

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    A reflection on the benefit & detriment of the hype surrounding Khan Academy.
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