X

+

Student teachers, NQTs and experienced teachers all have one thing in common - they haven't got it all figured out yet. I certainly haven't - every year I try to use my time more effectively and teach maths more effectively. Here's my top ten tips for newbies.
1. Plans
At my school we used to have 4.5 periods a week to teach A level. That was reduced to 4 periods a week due to budget cuts - a

+

Meet The Class Of 2014 (MacArthur Fellows): Yitang Zhang: MacArthur Foundation:
Yitang Zhang is a mathematician who emerged from relative obscurity with a landmark achievement in analytic number theory: the so-called bounded prime gap, which essentially establishes that the difference in spacing between two consecutive prime numbers is, infinitely often, bounded by a fixed number.
[source: mme rss]

+

I'm really bad at blogging. I have lots of ideas scribbled down, and even a few drafts started, but I struggle with actually writing things up and publishing them. I'm trying to work on that. The result, however, is a large gap between my last post and what's happening now. There's so much that's happened in between that I don't have documented. This is my attempt at a "catch-up" post. After this, I'm just going to move forward, and not focus on the past I don't have written up. (I'm sure I'll
[…]

+

2:36 PM | Dyslexic Mathematician

This is part of a cluster of posts about dyslexia and ADHD. I have two learning “disabilities” (“learning differences” is a more politically correct, and more accurate term): dyslexia, and ADHD. Some people have been surprised to learn this. I … Continue reading →

+

1:38 PM | For funsies

I made a quick intro video for my friend’s 3rd grade class about my house in Peru. It’s very basic, but you might find it entertaining :)

+

1:00 PM | George Hart Workshop on Symmetry

Through Math for America, I had the pleasure of participating in a one-day workshop on symmetry led by well-known mathematician/computer scientist/sculptor George Hart. The workshop featured some great math and some excellent hands-on projects that really had us exploring some deep mathematical ideas. We began the day by talking a bit about what symmetry is and […]

+

12:57 PM | Math Reflection 180: Day 13

The lesson or activity we did in class today reminded me of (write what it reminded you of and explain the connection between the two)Filed under: Math Reflection 180 Tagged: Connections, Math Reflection 180, Reflection

+

The distributive property of multiplication states that for all real numbers , and , then . In this short post, we are going to see the visual representation of ‘visual proof’ of this property where it is represented as area. However, one limitation of this representation is it does not represent negative values for , or […]Continue reading...
The post A Geometric Representation of the Distributive Property appeared first on Proofs from The Book.

+

From Facebook:
"my daughter and I were brought in to talk about her " learning disabilities " and how she was not applying herself . They talked about punishments and incentives . After listening to everyone I asked . " If I asked you to build a nuclear power plant could you do it ?" They all answered " no " So I ask well what if i took a way all your free time at work , and did not allow you to go to the ofice party because you could not build it ? Could you build it then ?" Again the answer
[…]

+

Young's Double Slit Experiment - A Strange Conclusion I'm not going to describe this experiment. After all, it's been discussed endlessly and even by some of the world's top physicists. What I'm going to do is give an information theoretic interpretation.. If you don't want to know which slit the electron went through it behaves like a wave. But if you insist on knowing which slit the electron went through it behaves like a particle. Is the electron a wave or a particle? It's neither. The
[…]

+

9:00 AM | Does attitude really equal 100%?

Every few weeks, this bit of motivational excrement does the rounds on twitter (I saw it here, but it comes around from all sorts of sources). For a start, what’s with the per cents? Per cents of what? You can’t just take a number that’s close to a hundred and stick a % on it and make sense – especially when it’s easy to find words – such as ‘bullshit’ (103) or ‘poppycock’ (120) – that come out as more than 100. More to the
[…]

+

KaTeX is a new method for publishing LaTeX-based math on the Web. It's faster than MathJax, but not as robust (yet).The post KaTeX – a new way to display math on the Web appeared first on squareCircleZ.
No related posts.

+

5:37 AM | Finding Area Using Arrays

I was working with Year 2 the other day. They were keen to do some work with arrays to look at multiplication. I was keen to make it a bit of fun.So, I thought, lets put the array thing together with some shapes that we need to find the area of.I constructed the following set of shape outlines:Then I asked the kids to find the biggest one and the smallest one. Fortunately I had made the sides of all the shapes whole centimetres, suggesting to the kids that they could use Base 10
[…]

+

5:01 AM | Math Mistake…tell your (two) friends

Back in the 80s, there was a commercial for Faberge Organic Shampoo. And even if the shampoo doesn’t sound familiar, you might have heard of the ad (“…and they tell two friends…”) Hey, it’s exponential functions! 1 friend tells 2 friends, those 2 friends tell 4 friends, those 4 friends tell 9 friends, those…wait, 9? […]

+

Without basic operations of counting, like Addition, Subtraction, Multiplication and Division, it is not possible to imagine math problems. Counting is also the base of human life. A student, whether he’s a math major or not, must be good at counting numbers. The counting ability… Read more
Visit the original post Test your counting skills with Branifyd game for Android for the best experience of reading!

+

4:00 AM | The Starbucks Experience, in Graphs

47% of American fiction is now written in Starbucks. Including this statistic. Continue reading →

+

2:38 AM | Teaching Math to Special Needs Children

Teaching math to special needs students isn't just challenging, it's game changing!

+

2:25 AM | Vertical Number Line

I should have been typing up lesson plans. That's boring.Instead, I read Sarah's blog post about using vertical number lines. My students this year are worse than ever at integers. Ugh. How does that keep happening? I suppose this group's problem might be from elementary school because they're also having trouble with 8x3 and 12-7. Anyway, rather than complain, let's give them tools to get past the hurdle. Sarah's individual number lines are a good […]

+

I get e-mails from people all the time wondering how to get started with interactive notebooks. Honestly, I'm not quite sure how to answer this question. How does one get started with interactive notebooks? I know these aren't the steps people want to hear, but I think this pretty much sums up the process:Step 1. Adjust your expectations. Every page in your interactive notebook will not be pinterest-worthy. Step 2. Try stuff. Figure out what lesson you are […]

+

1:02 AM | Sharks Act Like Math Geniuses

Sharks Act Like Math Geniuses: Jennifer Viegas:
For the study, published in the latest issue of Proceedings of the Royal Society A, Reynolds began by asking a simple question, namely how do sharks perform Lévy flights? As he said, “They are not mathematicians.”
[source: mme rss]

+

I anticipate my students will finish their first unit test at varying rates tomorrow. I always take my own tests as if I were the student. I show all the work. I time myself. I multiply my time by 3 … Continue reading →

+

(Image credit: Wikipedia) Come join us in learning about number sequences! We will start with a story about Leonardo Pisano, better known as Fibonacci, his often forgotten fundamental contributions to mathematics (do you know what they are?), and his ubiquitous sequence of Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, … We […]

+

12:05 AM | Students ... blogging

We didn't have time to talk about it thoroughly today since students were testing. I just mentioned that our writing assignments will be completed in a blog. I sent them instructions for how to log on in their school email.Their first assignment is to blog just one post in the next two weeks. I left the topic wide open. For some that will be a problem. For others it will be a goldmine!One student has already published his first blog ... a nicely written description […]

+

11:35 PM | Relaying in Stats, Melting down in Alg

You are here! That is my AP Stats objectives board for the next few weeks. Today and yesterday we finished up Categorical data analysis with Relay Cards. It was very successful. I had many learners telling me they understood what they were doing, and they were saying this even though they were making mistakes in […]

+

11:34 PM | Day 9 and 10 Ups and Downs

Daily blogging is no joke! Yesterday I was just so mentally drained I fell asleep with the blogger window open! Plus this morning I overslept, 1st time in 5 years that I missed my alarm!! Luckily I did have enough time to dress and run out of the house and get to school on time. Thank goodness my children are self sufficient now and I don't have to get them ready for school anymore!So about the title, ups and downs. Yesterday in 5th grade I had a major flop of a lesson. Ok, […]

+

11:00 PM | On This Day in Math - September 17

God is a child; and when he began to play, he cultivated mathematics. It is the most godly of man's games.~V ErathThe 260th day of the year; 260 is the constant for each row, column and diagonal of an 8x8 magic square. It is also the sum of the squares of the divisors of 15. The 8x8 is the smallest order for a bimagic square (the squares of the numbers also form a magic square) that uses consecutive digits.The constant for the magic square formed by the squares is 11,180. More on the first […]

+

9:14 PM | the sum of the lengths of any pair of sides of a triangle triangle inequality geometric proof

updated proof

+

Had a great morning working with the boys today that included a particularly fun exchange with my older son that I wanted to write about. It started with a continuation of a brief conversation on Twitter about Khan Academy. I’ve … Continue reading →

Sidebar

Filters

+

On Saturday, I arrived in Columbus, Ohio for the the MBI Workshop on the Ecology and Evolution of Cancer. Today, our second day started. The meeting is an exciting combination of biology-minded mathematicians and computer scientists, and math-friendly biologist and clinicians. As is typical of workshops, the speakers of the first day had an agenda […]

Baker AM, Cereser B, Melton S, Fletcher AG, Rodriguez-Justo M, Tadrous PJ, Humphries A, Elia G, McDonald SA, Wright NA & Simons BD (2014). Quantification of crypt and stem cell evolution in the normal and neoplastic human colon., Cell reports, 8 (4) 940-7. PMID: 25127143

Citation

+

One of the exciting things in reading philosophy, its history in particular, is experiencing the tension between different schools of thought. This excitement turns to beauty if a clear synthesis emerges to reconcile the conflicting ideas. In the middle to late 18th century, as the Age of Enlightenment was giving way to the Romantic era, […]

Post, E.L. (1936). Finite combinatory processes -- formulation 1., Journal of Symbolic Logic, 1 (3) 103-105.

Citation

+

In effetti questa è (o dovrebbe essere) la versione estesa di una conferenza di Philip K. Dick alla convention fantascientifica di Metz, in Francia, nel 1977. Non sono riuscito a trovare trascrizioni dell'intervento realmente fatto dallo scrittore a Metz, ma il video (via Open Culture) è abbastanza differente (non troppo rispetto ai contenuti) rispetto al testo (archive.org) successivamente pubblicato sulla Philip K. Dick Society Newsletter #27.Innanzitutto Dick esprime l'idea alla base di
[…]

Susskind L. (1995). The world as a hologram, Journal of Mathematical Physics, 36 (11) 6377. DOI: http://dx.doi.org/10.1063/1.531249

Bousso R. (2002). The holographic principle, Reviews of Modern Physics, 74 (3) 825-874. DOI: http://dx.doi.org/10.1103/revmodphys.74.825

Bekenstein J. (2008). Bekenstein-Hawking entropy, Scholarpedia, 3 (10) 7375. DOI: http://dx.doi.org/10.4249/scholarpedia.7375

Citation

+

In effetti questa è (o dovrebbe essere) la versione estesa di una conferenza di Philip K. Dick alla convention fantascientifica di Metz, in Francia, nel 1977. Non sono riuscito a trovare trascrizioni dell'intervento realmente fatto dallo scrittore a Metz, ma il video (via Open Culture) è abbastanza differente (non troppo rispetto ai contenuti) rispetto al testo (archive.org) successivamente pubblicato sulla Philip K. Dick Society Newsletter #27.Innanzitutto Dick esprime l'idea alla base di […]

Susskind L. (1995). The world as a hologram, Journal of Mathematical Physics, 36 (11) 6377. DOI: http://dx.doi.org/10.1063/1.531249

Bousso R. (2002). The holographic principle, Reviews of Modern Physics, 74 (3) 825-874. DOI: http://dx.doi.org/10.1103/revmodphys.74.825

Bekenstein J. (2008). Bekenstein-Hawking entropy, Scholarpedia, 3 (10) 7375. DOI: http://dx.doi.org/10.4249/scholarpedia.7375

Citation

+

Bayesian Lasso $$\begin{align*} p(Y_{o}|\beta,\phi)&=N(Y_{o}|1\alpha+X_{o}\beta,\phi^{-1} I_{n{o}})\\ \pi(\beta_{i}|\phi,\tau_{i}^{2})&=N(\beta_{i}|0, \phi^{-1}\tau_{i}^{2})\\ \pi(\tau_{i}^{2})&=Exp \left( \frac{\lambda}{2} \right)\\ \pi(\phi)&\propto \phi^{-1}\\ \pi(\alpha)&\propto 1\\ \end{align*}$$ Marginalizing over \(\alpha\) equates to centering the observations and losing a degree of freedom and working with the centered \( Y_{o} \). Mixing
[…]

Park, T. & Casella, G. (2008). The Bayesian Lasso, Journal of the American Statistical Association, 103 (482) 681-686. DOI: 10.1198/016214508000000337

Figueiredo M.A.T. (2003). Adaptive sparseness for supervised learning, IEEE Transactions on Pattern Analysis and Machine Intelligence, 25 (9) 1150-1159. DOI: http://dx.doi.org/10.1109/tpami.2003.1227989

Armagan A., Dunson D.B. & Lee J. GENERALIZED DOUBLE PARETO SHRINKAGE., Statistica Sinica, PMID: 24478567

Citation

CardColm tweeted: @CardColm

2014-09-18 01:07:47

ricardosaenz tweeted: @ricardosaenz

RT @FiveThirtyEight: Alison Bechdel's won a MacArthur "genius" grant. Films that pass her gender-bias test make more money. http://t.co/vNZ…

2014-09-18 00:57:34

musegarden tweeted: @musegarden

RT @github: Introducing //TODO for companies that are committed to open source https://t.co/T3Wy23Aq2o

2014-09-18 00:49:13

MrHonner tweeted: @MrHonner

I've started at least 15 email responses this week with "This is a good example of a question you should ask a classmate". #9thgraders

2014-09-18 00:48:58

musegarden tweeted: @musegarden

RT @Synapsify: Come check out booth 418 at #CRC2014 to learn about how we can accelerate your voice of customer analysis! http://t.co/XVp58…

2014-09-18 00:45:14

MrHonner tweeted: @MrHonner

Fascinating post on unavoidable strings in infinite sequences, by @edfromo https://t.co/bKH1R7uYfg #math #mathchat

2014-09-18 00:41:33

MrHonner tweeted: @MrHonner

RT @stevenstrogatz: "Proofs really aren't there to convince you that something is true -- they're there to show you why it is true" - A. Gl…

2014-09-18 00:37:01

fawnpnguyen tweeted: @fawnpnguyen

RT @CutTheKnotMath: Morley's equilaterals - adding trisectors of exterior angles one gets 4 more equilaterals http://t.co/DX6ozpezMh http:/…

2014-09-18 00:31:50

X