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The Coin Toss and the Love Triangle - Information Theory: There are two flavors of uncertainty in our lives. Math helps with both.

The Coin Toss and the Love Triangle - Information Theory: There are two flavors of uncertainty in our lives. Math helps with both. | Math Education | Scoop.it

Chance appears to name a single, unitary thing. But its genealogy, its family history, turns out to be a tangled one. One way to understand its branching origins is to turn to literature: We may look, in turn, to two very different novels.

 

Anton Chigurh, the antagonist of Cormac McCarthy’s novel No Country for Old Men, forces his victims to guess the outcome of a coin toss, taking their life if they guess in error. McCarthy’s villain forces blind chance into his victims’ lives in the most brutal way. That chance is entirely contained, not in Chigurh, but in the toss—in nature itself. This is one source of uncertainty.

 

To understand the second source, we travel as far as possible from McCarthy’s American Southwest. The first volume of Henry James’s The Wings of the Dove ends with Milly Theale, a wealthy American heiress, visiting the National Gallery in London. To her surprise she sees an acquaintance, Merton Densher, in the company of her best friend, Kate Croy. The plot of the book from this point forward hinges on a single question: will Milly learn what the reader already knows—that Merton and

Kate are in love and secretly engaged to be married.

 

In the sequence, told from Milly’s point of view, we see how Kate—caught sharing an intimate afternoon—acts in such a way as to generate an alternate hypothesis for her friend: that Merton may well be keen on her, but that she, Kate, is not keen on him.

 

Here are uncertainties not otherwise found in nature: probabilities about probabilities, beliefs about beliefs held by others.


Via Ashish Umre
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Interdisciplinary excursion...

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Study Finds Random Electrical Current May Help Folks Learn Math - Singularity Hub

Study Finds Random Electrical Current May Help Folks Learn Math - Singularity Hub | Math Education | Scoop.it
Singularity Hub
Study Finds Random Electrical Current May Help Folks Learn Math
Singularity Hub
Mathemati-phobes rejoice. You may one day swap coffee and cramming for a trusty set of head-mounted electrodes.
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The Coin Toss and the Love Triangle - Information Theory: There are two flavors of uncertainty in our lives. Math helps with both.

The Coin Toss and the Love Triangle - Information Theory: There are two flavors of uncertainty in our lives. Math helps with both. | Math Education | Scoop.it

Chance appears to name a single, unitary thing. But its genealogy, its family history, turns out to be a tangled one. One way to understand its branching origins is to turn to literature: We may look, in turn, to two very different novels.

 

Anton Chigurh, the antagonist of Cormac McCarthy’s novel No Country for Old Men, forces his victims to guess the outcome of a coin toss, taking their life if they guess in error. McCarthy’s villain forces blind chance into his victims’ lives in the most brutal way. That chance is entirely contained, not in Chigurh, but in the toss—in nature itself. This is one source of uncertainty.

 

To understand the second source, we travel as far as possible from McCarthy’s American Southwest. The first volume of Henry James’s The Wings of the Dove ends with Milly Theale, a wealthy American heiress, visiting the National Gallery in London. To her surprise she sees an acquaintance, Merton Densher, in the company of her best friend, Kate Croy. The plot of the book from this point forward hinges on a single question: will Milly learn what the reader already knows—that Merton and

Kate are in love and secretly engaged to be married.

 

In the sequence, told from Milly’s point of view, we see how Kate—caught sharing an intimate afternoon—acts in such a way as to generate an alternate hypothesis for her friend: that Merton may well be keen on her, but that she, Kate, is not keen on him.

 

Here are uncertainties not otherwise found in nature: probabilities about probabilities, beliefs about beliefs held by others.


Via Ashish Umre
Debra Cannon's insight:

Interdisciplinary excursion...

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LeBron James Is 'Very Good At Math,' Proves It To Reporters With Simple ... - SportsGrid

LeBron James Is 'Very Good At Math,' Proves It To Reporters With Simple ... - SportsGrid | Math Education | Scoop.it
LeBron James Is 'Very Good At Math,' Proves It To Reporters With Simple ...
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Polar Axes Are Live!

Polar Axes Are Live! | Math Education | Scoop.it
Brrrr! Piping cold out of Desmos Labs: Polar Axes! Although graphing polar functions has been possible since Desmos went live, you can now switch from Cartesian to Polar graph paper to better... (Polar Axes Are Live!
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By Adding Arts, STEM Education Blossoms into STEAM

By Adding Arts, STEM Education Blossoms into STEAM | Math Education | Scoop.it
Science, technology, engineering and mathematics education is increasingly being paired with arts education to boost learning and increase appeal.
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Speak Up 2012 report: “From Chalkboards to Tablets: The Emergence of the K-12 Digital Learner”

Speak Up 2012 report: “From Chalkboards to Tablets: The Emergence of the K-12 Digital Learner” | Math Education | Scoop.it

“The results being released today show that we are indeed in a new world. And we as adults need to learn from kids in this instance. We need to learn from students about how they learn, where they learn, and how they seek information. I believe we must harness this information to give all students a 21st century skill set to prepare them for high-growth, high-demand jobs in the global economy.”-U.S. Rep. George Miller, the senior Democrat on the House Education and the Workforce Committee.

Project Tomorrow has released the Speak Up 2012 report: “From Chalkboards to Tablets: The Emergence of the K-12 Digital Learner”


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The algebra of iTunes - Fortune

The algebra of iTunes
Fortune
FORTUNE -- In a post titled "What's an iTunes user worth?" Asymco's Horace Dediu used the number of iTunes accounts Apple (AAPL) CEO Tim Cook announced Monday -- 575 million -- to draw the graph at right.
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This would be a fun exercise for graphical regression analysis...

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The Kids Need Algebra 1 – and College-Preparatory Education - Dropout Nation

The Kids Need Algebra 1 – and College-Preparatory Education Dropout Nation Just one out of every five middle-school students in seven states — California, Florida, Massachusetts, Minnesota, Pennsylvania, Virginia, and Washington State — were...
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Students struggle on FCAT math & reading tests - MiamiHerald.com

NBC 6 South Florida
Students struggle on FCAT math & reading tests
MiamiHerald.com
TALLAHASSEE, Fla. -- Many Florida students continue to struggle on high-stakes tests in reading and math.
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Twitter / KCPLChildren: Come see the graphing calculator ...

Twitter / KCPLChildren: Come see the graphing calculator ... | Math Education | Scoop.it
Come see the graphing calculator reading is mathmagical bulletin board in person at the main branch! #slc #kcpl http://t.co/20sYrEYUZr
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Calculus 'Thrift Shop' Parody: Teens' Hilarious Macklemore Cover For School Project (VIDEO)

RT @johnkaufeld: RT @ipfw: S/O to Columbia City HS students for a great video, @HuffingtonPost mention, & their #IPFW love! http://t.co/DRLBx8wzo8
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Fantastic! And who says math "nerds" are NOT creative?!?!?

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