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Throwback Thursday ...My experience in schools varies widely. I have had the privilege of serving students in positions as a classroom teacher, a district consultant, and school principal. Currently I teach high school math to advanced learners - I love it! But today I'm missing my PCES peeps and remembering the joy of opening a brand new school.About four years ago, I heard that the district was preparing to open a brand new school not far from my home. At that time I was leading
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3:28 PM | Notes on Gone Girl

It reminds me of Martin Amis’s The Information, in that it is a really well-made thing, but one which I think probably shouldn’t have been made, and which I’m probably sorry I read, because it’s sick in its heart. Everything else I can say is a spoiler so I’ll put it below a tab. 1. I […]

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Here is another installment in my series reviewing the NY State Regents exams in mathematics. It is a true geometric wonder that a triangle’s medians always intersect at a single point. It is a remarkable and beautiful result, and the fact that the point of intersection is the centroid of the triangle makes it even more compelling. This result should absolutely be […]

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11:20 AM | Recess was always my best subject

And according to this article from Tim Walker, I might have been onto something.Like a zombie, Sami—one of my fifth graders—lumbered over to me and hissed, “I think I’m going to explode! I’m not used to this schedule.” And I believed him. An angry red rash was starting to form on his forehead.Yikes, I thought. What a way to begin my first year of teaching in Finland. It was only the third day of school and I was already pushing a student to the breaking point. When I took him aside,
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9:43 AM | Zeno’s Paradox - Numberphile

How can an infinite process end?
An explanation helpful for geometric series and limiting sums

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9:30 AM | Student Created Slope Pages

This year, I was feeling a little uninspired when it came to creating notebook pages over finding slope in Algebra 1. We'd done lots of practice. And, most students seemed to grasp the concept. Since my students had watched me make notebook pages for an entire semester, I decided it was their turn. I split each class up into 3 groups and assigned them each a different way of finding slope - from a graph, from a table, and from two points. I told each group to […]

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5:47 AM | Completamento del quadrato

Completamento del quadrato. Parabola e circonferenza. Spiegazione :lol: © 2014, Angelo Stella. All rights reserved.

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3:07 AM | Decimal Mistake in the News

Decimal points are small, and so easy to lose. And it appears that many of them were lost on FAFSA (Free Application for Federal Student Aid) forms, which is NOT a place that you would want incorrect data. According to an official document from July 18, people filling out the form were supposed to round monetary […]

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I read an excellent article today ... Why Do Americans Stink at Math? Please, read it!Several years ago I read the book, Innumeracy: Mathematical Illiteracy and Its Consequences by John Allen Paulos. It was interesting to see documented the very thing I had heard too many times. Parents would say, "I was never good at math either. I can't even balance my checkbook." Not many people would admit to not being able to read the newspaper, but parent after parent […]

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Another post from Tap Into Teen Minds. Enjoy!
Watch my Apple Distinguished Educator Showcase from the 2014 Global Institute in San Diego, California on Redefining Mathematics Education.
The post Redefining Mathematics Education #ADE2014 Showcase appeared first on Tap Into Teen Minds.

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Last week there was an interesting twitter discussion on the nature of projects versus the nature of problems.@dandersod @samjshah @k8nowak @leslie_su76 How is Mega M&M a project rather than a problem?— Dan Meyer (@ddmeyer) July 17, 2014 It occurred with specific reference between the differences of PBL (project-based learning) and PrBL (problem-based learning). If you follow this blog or scan the provided tags you will find PBL does occupy some space here. There is also a large amount of
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11:10 PM | Discrete wiskunde

voorkennishet binomium van Newtonvolledige inductierecursieve formulesrekenkundige rijenmeetkundige rijenDat was nog een heel gedoe...

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11:05 PM | #July2014Challenge: The other SBG

I had to work today, so I figured I would go for an easy blogpost. I am part of a blogging challenge to blog everyday in July, put together by druin. I figured an easy blogpost would be one where I am sharing one of the many amazing teaching resources or strategies that have been shared with me over the years. Enter SBG.No, I don't mean Standards Based Grading. When I first started reading blogs I saw SBG plastered all over blog links. This was really confusing,
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11:00 PM | On This Day in Math - July 24

In mathematics the art of proposing a question must be held of higher value than solving it. ~Goerg CantorToday is the 205th day of the year; there are 205 pairs of twin primes less than ten thousand. *Number Gossip EVENTSIn 1673, Edmund Halley entered Queen's College, Oxford, as an undergraduate. Halley had attended the prestigious St. Paul's school, where in 1671, he was appointed captain, a position resembling today's student body president. He was an excellent student, and by the […]

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10:36 PM | Flow

I have been doing a fair amount of yoga down here in NOLA. It was part of my commitment to myself that I would find a way to remain active during my stay here. (Especially with all the excellent fried cuisine and cocktails, it seemed a real priority to exercise.) I signed up for an unlimited introductory deal, and I have been doing an hour of fairly rigorous yoga every weekday without missing a beat. At first, because I had been away from the mat for so long (months, really), I had a hard time […]

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newest proof

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8:11 PM | Common Core Goes to College

The New America Foundation’s position paper by Lindsey Tepe gives recommendations for how higher education can support the Common Core State Standards. However, this paper and related articles in the Chronicle and Hechinger Report miss the most important way for higher education to support the CCSS, namely, to work to repair or ameliorate the existing flaws in the CCSS. position paperAn implicit assumption in Tepe's paper is that the CCSS have successfully captured what all
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Elizabeth Green compiles the history of math education in the United States from New Math to the Common Core: Americans might have invented the world’s best methods for teaching math to children, but it was difficult to find anyone actually using them. She also tours through some of the best ethnographic research you’ll read in […]

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5:53 PM | Sistemi di grado superiore al secondo

Sistemi di grado superiore al secondo. Esercizi vari © 2014, Angelo Stella. All rights reserved.

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5:51 PM | Continuità di una funzione

Continuità di una funzione. Esercizi svolti © 2014, Angelo Stella. All rights reserved.

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Based on the previous philosophical discussion about probability let's attempt to define this concept more rigorously.By now we should understand the concept of an event (like "getting even number on a dice") as a result of a random experiment (like "rolling the dice"). We have also discussed a concept of an elementary event - the "smallest" in some sense result of a random experiment that cannot be represented as a combination of "smaller" events (like "getting 6 on a single dice rolling"). We […]

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3:04 PM | Matematica In Egitto Ed In Mesopotamia

La tavoletta Plimpton 322. Fonte Wikipedia."Matematica In Egitto Ed In Mesopotamia", in inglese "Mathematics in Egypt and Mesopotamia", è un avvincente paper di cui è autrice Annette Imhausen.Annette Imhausen, già studiosa di Matematica, Storia della Matematica ed Egittologia, si sta interessando attualmente di storia della matematica pre-greca, di contesti particolari, tecniche e trasmissione della matematica egiziana antica, dalla invenzione della scrittura (circa 3000
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Still working through my draft folder. And, I happened upon some INB pages that I somehow forgot to post this year. I posted snippets of some of these, but never the entire unit. Don't worry. I'll rectify the situation today! If you're in a hurry, the new, never posted pages, are at the very beginning and towards the middle. As always, files to makes these pages are embedded at the bottom.I present to you: Unit 6: Linear FunctionsThis pic is old. […]

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As I am walking through the airport this morning, it was not crowded and had I been brave, I would have collected some data to enable me to create a nice little work-rate problem. How much time does that moving walkway actually save me? Scenario 1: walk the distance. Scenario 2: ride the distance Scenario […]

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Welcome to this week’s Math Munch! Recently I attended a conference in memory of Bill Thurston. Bill was one of the most imaginative and influential mathematicians of the second half of the twentieth century. He worked with many mathematicians on projects and had many students before he passed away in the fall of 2012 at the age […]

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A New Proof That the Rationals Are Countable

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via @CERN http://t.co/9Rac42mBVh #CPviolation #CPsymmetry #matter #antimatter The CP violation is a violation of the CP-symmetry, a combination between the charge conjugation symmetry (C) and the parity symmetry (P). CP-symmetry states that the laws of physics should be the same if a particle is interchanged with its antiparticle, and then its spatial coordinates are inverted.The CP violation is discovered in 1964 by Christenson, Cronin, Fitch, and Turlay (Cronin and Fitch awarded the Nobel […]

Christenson, J., Cronin, J., Fitch, V. & Turlay, R. (1964). Evidence for the 2π Decay of the K_{2}^{0} Meson, Physical Review Letters, 13 (4) 138-140. DOI: 10.1103/PhysRevLett.13.138

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by @ulaulaman http://t.co/Q3AODpvKAs #Godel #ontologicalproof #god #computer The ontological arguments for the existence of God was introduced for the first time by St. Anselm in 1078: God, by definition, is that for which no greater can be conceived. God exists in the understanding. If God exists in the understanding, we could imagine Him to be greater by existing in reality. Therefore, God must exist.There are a lot of phylosophies, mathematics and logicians that proposed their ontological […]

Christoph Benzmüller & Bruno Woltzenlogel Paleo (2013). Formalization, Mechanization and Automation of Gödel's Proof of God's Existence, arXiv: 1308.4526v4

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\[(n+1)^3 - n^3 \equiv 1 \mod 6\] Claudi Alsina,, Roger Nelsen,, & Hasan Unal (2014). Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6 The College Mathematics Journal, 45 (2), 135-135 DOI: 10.4169/college.math.j.45.2.135 (facebook)

Claudi Alsina,, Roger Nelsen, & Hasan Unal (2014). Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6, The College Mathematics Journal, 45 (2) 135-135. DOI: 10.4169/college.math.j.45.2.135

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\[(n+1)^3 - n^3 \equiv 1 \mod 6\] Claudi Alsina,, Roger Nelsen,, & Hasan Unal (2014). Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6 The College Mathematics Journal, 45 (2), 135-135 DOI: 10.4169/college.math.j.45.2.135 (facebook)...
Claudi Alsina,, Roger Nelsen,, & Hasan Unal. (2014) Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6. The College Mathematics Journal, 45(2), 135-135.
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Claudi Alsina,, Roger Nelsen, & Hasan Unal (2014). Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6, The College Mathematics Journal, 45 (2) 135-135. DOI: 10.4169/college.math.j.45.2.135

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La settimana scorsa, su twitter, ho diffuso alcune immagini, foto scattate dalle pagine dal volume Letture da Le Scienze: Fisica delle particelle (un indice del volume), che raccoglieva alcuni articoli usciti sulla rivista italiana (e quindi anche su Scientific American). Poiché ognuna di quelle immagini fa inevitabilmente parte della storia della fisica, mi sembra sensato proporle raccolte insieme in un unico post molto più semplicemente raggiungibile di tanti piccoli... cinguettii.
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Weisskopf, V. (1968). The Three Spectroscopies, Scientific American, 218 (5) 15-29. DOI: 10.1038/scientificamerican0568-15

Barish, B. (1973). Experiments with Neutrino Beams, Scientific American, 229 (2) 30-38. DOI: 10.1038/scientificamerican0873-30

Treiman, S. (1959). The Weak Interactions, Scientific American, 200 (3) 72-84. DOI: 10.1038/scientificamerican0359-72

Cline D.B., Mann A.K. & Rubbia C. (1974). The Detection of Neutral Weak Currents, Scientific American, 231 (6) 108-119. DOI: 10.1038/scientificamerican1274-108

Glashow, S. (1975). Quarks with Color and Flavor, Scientific American, 233 (4) 38-50. DOI: 10.1038/scientificamerican1075-38

Nambu, Y. (1976). The Confinement of Quarks, Scientific American, 235 (5) 48-61. DOI: 10.1038/scientificamerican1176-48

Johnson, K. (1979). The Bag Model of Quark Confinement, Scientific American, 241 (1) 112-121. DOI: 10.1038/scientificamerican0779-112

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rmathematicus tweeted: @rmathematicus

RT @TheVinylFactory: Jon Hassell on his seminal LP 'City: Works of Fiction' reissued by @AllSaintsRcrds: http://t.co/8a4YH8NmJB http://t.co…

2014-07-24 21:06:06

mathhombre tweeted: @mathhombre

RT @a_mcsquared: #tmc14 at @thescamdog session about formative assessment, find archived chats about Williams #efa book here http://t.co/MF…

2014-07-24 21:00:50

j_lanier tweeted: @j_lanier

I need coffee. #tmc14

2014-07-24 20:54:16

rmathematicus tweeted: @rmathematicus

RT @Libroantiguo: Mapa de la Atlántida, "Mundus Subterraneus", Athanasius Kircher1665- 68. http://t.co/ctEe1svShG

2014-07-24 20:43:59

republicofmath tweeted: @republicofmath

For this problem, Mathematica @BenVitale which programming languages do you use?

2014-07-24 20:41:45

MindAfterMath tweeted: @MindAfterMath

Hidden Markov Models: The Viterbi Algorithm http://t.co/t8fc5zH1or #compsci #datascience #math #stem #mathchat

2014-07-24 20:40:40

evelynjlamb tweeted: @evelynjlamb

On a course he took as a student: "One day, I understood 3 sentences in the 3 hours. And those sentences ended up helping me a lot!"

2014-07-24 20:40:11

MathProjects tweeted: @MathProjects

Counting circles w/ @wahedahbug "Which answer on the board would you like to defend?" http://t.co/5i8jnUtzMs

2014-07-24 20:38:30

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