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overdoseoffingalcocoa....This is a different Hall & Oates ... 350 × 354 - 32 k - jpg	twilightsagapalooza.bl...TLau looks EXACTLY like John Oates with the mustache. 400 × 265 - 35 k - jpg	wolftrapinsider.blogsp...Hall and Oates came out the gates blazing last night with "Maneater" as ... 308 × 400 - 18 k - jpg	upi.comDaryl Hall (L) and John Oates with Hall and Oates perform in concert at the ... 478 × 354 - 37 k - jpg
rgcred.wordpress.comClick here to go to Popdose to check Hall & Oates “Don't Hold Back Your ... 400 × 400 - 56 k - jpg	cafepress.comSee all products from the Hall & Oates design collection » 380 × 380 - 13 k - jpg	startribune.comHall & Oates. Photo: Photo by Mick Rock, 200 × 300 - 14 k - jpg	roxwel.comHall & Oates' music was well-constructed and produced; ... 361 × 342 - 23 k - jpg
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noise11.comHall & Oates were in the house and this crowd could not wait to see them. 819 × 1024 - 171 k - jpg	991.comHall & Oates Kiss On My List French 7" Vinyl Record PB2142 Kiss On My List ... 500 × 510 - 75 k - jpg	associatedentertainmen...Hall & Oates - Music Category 3 252 × 264 - 21 k - jpg	rockpaperphoto.comHall & Oates by Deborah Feingold. Double click on above image to view full ... 447 × 645 - 55 k - jpg

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Welcome to Spring Semester 2013

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Introduction to Mathematical Thinking

Keith Devlin

Learn how to think the way mathematicians do - a powerful cognitive process developed over thousands of years.

Agenda Cultural @ FIX University newsRus.com

backtorockville.typepa...Let's try this again: Hall and Oates will be among the contributors, ... 400 × 301 - 40 k	undertheradarmag.comKevin Barnes as Hall & Oates 396 × 396 - 129 k - jpg	last.fmPicture of Hall & Oates Next image Previous image 500 × 375 - 60 k - jpg	virginmedia.comJohn Oates (Hall and Oates). Back in the eighties, John Oates's ... 431 × 300 - 45 k - jpg
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More FIX on the NET @ FIX University Cultural Campus

Welcome to Spring Semester 2013

Univalle Radio

Xavier University Radio

The Wizarding World of Harry Potter - Online

The Best College Radio Stations

Sabados Literarios

Introduction to Mathematical Thinking

Keith Devlin

Learn how to think the way mathematicians do - a powerful cognitive process developed over thousands of years.

Dear FIX,

There's a great discussion about the derivation of the truth table for the conditional in this forum thread.

I think a lot of the difficulty people are having in this course comes from the way schools (and colleges) restrict mathematics to examples that are clean and clear cut, and don't venture into the more messy real world where things are less straightforward. So I suspect many people are trying to interpret much of what we are doing as formal proofs, which is not the case. (One of the course goals is, however, to **develop some of the machinery** to do rigorous proofs. We will be doing some rigorous proofs in Week 5.)

In the title of this course, I use the term "mathematical thinking" rather than "mathematics" to emphasize that this is not about (pure) mathematics. Rather, the course is about developing **a way of thinking** that is heavily influenced by formal mathematics -- a way of thinking that has proved to be very useful.

It fact, it **is** the way (we) mathematicians think when they set about solving a problem -- **even a problem in pure mathematics**. You don't see this kind of thing in their published papers or the textbooks, however, because they clean everything up and make it rigorous.

I think schools do a disservice to students by not lifting the hood of the mathematical automobile and showing how the engine works. That can create the impression that the ability to do mathematics is some rare ability. It's not. There is no big secret. Discounting a small number of individuals who do seem truly gifted, the vast majority of mathematicians are just regular folks who have learned to think a certain way. (I talk about this in my latest MOOCtalk blog post.)

I hope this helps. Now on to Week 4!

-- KD