Connexions

Just learned about this:

Connexions is:

a place to view and share educational material made of small knowledge chunks called modules that can be organized as courses, books, reports, etc. Anyone may view or contribute:

authors create and collaborate
instructors rapidly build and share custom collections
learners find and explore content

This sounds a formidable initiative.

[English][Portuguese] Announcement / Aviso

[English] I have decided to run a separate blog on mathematics for Brazilian students, the Matemática Replay!. This blog [Theorema Egregium] continues with the usual material. Thanks.

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[Português] Eu decidi manter um blog separado sobre matemática para estudantes Brasileiros, o Matemática Replay!. Este blog [Theorema Egregium] continua com o material usual. Obrigada.

[Português] Problemas de Matemática do 2o. Grau

Este “post” dá início (tentativamente) a uma série que irá contemplar problemas de matemática para alunos do 2o. grau (ensino médio brasileiro). O público-alvo é de alunos que estão passando por reais dificuldades em resolver problemas. As soluções serão apresentadas detalhadamente e, em seguida, serão propostos problemas similares.

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Nos problemas do post de hoje, você precisará ter os conceitos de progressão artimética e de números complexos.
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Você pode baixar gratuitamente os exercícios no link abaixo:

Problemas de Matemática do 2o. Grau – Como Resolvê-los Passo à Passo – Parte 1
[documento PDF, 3 páginas, 100Kb]

Atenção para Copyright na última página!

AVISO: Agora tenho um blog só de matemática, acesse: Matemática Replay!

[Português] Como resolver problemas de matemática?

Escrevi um tutorial de matemática para alunos do ensino fundamental brasileiro, para o 5o. ano (ou 4a. série, pelo regimento anterior), que pode ser baixado gratuitamente aqui.

Dicas de Matemática: Como resolver problemas?
Autora: Christine Córdula Dantas
Tamanho: 1.3 Mb
Número de páginas: 33

AVISO: Agora tenho um blog só de matemática, acesse: Matemática Replay!

[Português] Tutorial de Eletromagnetismo

Está disponível um tutorial de eletromagnetismo em nível de graduação, escrito em português, gratuitamente no site do arxiv:

http://arxiv.org/abs/0906.2796

Solvay Physics Conference 1927

You cannot resist us

[Via Sophismata]

Trust yourself.

Something I’d like to do if I were younger….

Just received.

…………………………………………………….

Dear Christine,

I am writing to ask for your assistance in drawing the attention of exceptional, highly motivated students to the Perimeter Scholars International (PSI) program.

PSI is an innovative, Masters level course designed to prepare students for cutting-edge research in theoretical physics. It provides a broad overview, allowing students to choose their preferred specialisation, and extensive tuition in formulating and solving interesting problems.

The due date for applications is February 1st: applications received after this date may still be considered but only as long as places remain available.

A number of outstanding lecturers have already signed up to teach, including for example Yakir Aharonov, Phil Anderson, Matt Choptuik, Nima Arkani-Hamed, John Cardy, Ruth Gregory, Michael Peskin, Sid Redner, Xiao-Gang Wen, and a number of Perimeter Institute research faculty. They will be supported by full-time tutors dedicated to the course.

All accepted students will be fully supported.

For further details, see www.perimeterscholars.org.

Thank you in advance for helping us to make this exciting opportunity known as widely as possible.

With my best wishes,

Neil Turok

Director
Perimeter Institute for Theoretical Physics
Waterloo, Ontario, Canada

Principles of Effective Research

A recommended reading, by Michael Nielsen:

Principles of Effective Research

Course on Perelman’s proof

Mathematician Terence Tao will be giving the course:

Perelman’s proof of the Poincaré conjecture

He will also include blog posts on the course.

PS – As far as I know, this is *not* an April Fools’ Day joke.

Legendary Lectures on QFT by Sidney Coleman

[Via Asymptotia]. Time to learn some QFT, right? Even if you already know (or think you know) the subject, I believe you will find the lectures by late Sidney Coleman very illuminating. You can now find his mid 70′s video lectures through this link. Lecture notes are available here (scroll down to “Some Classic Quantum Field Theory Courses”; actually this page by David Tong has many useful resources in QFT).

[English][Português] The Universe and the Solar System for Kids

[English]

Today, I had a really great experience. I was invited to give an astronomy talk to the 8 years-old kids in my son’s class.

For that I prepared a short film using iMovie. The film could be paused as I needed to explain things and the kids were able to make questions (and they did ask a lot of interesting questions!).

Also, I prepared a mini-solar system in (more or less) scale using simple material that kids can prepare themselves. Here is a picture:

This site is very useful to make a model of the solar system in scale, including the orbits. I have made a second set of the solar system including the Sun in a scale of 4cm in diameter, and we were able to lay the nano-planets (indeed, Mercury is almost nothing at that scale!) over the floor with the help of a metric tape. At about 22 meters from the Sun, Jupiter was the last one that fit into the recreational area.

Notice that I have started with the Sun, setting it to 4 cm in diameter in order to get at least Jupiter’s orbit inside the recreational area of the school. Mercury gets incredibly tiny in that scale. If you have a larger area you can try a larger value for the Sun’s diameter.

I do not recall the modeling clay type that I used. Also, I am in Brazil, so I don’t think I can help you indicating specific brands, in case you came here from elsewhere… In any case, I hope that site above helps you in setting an adequate solar system scale.

I can send you the video if you are interested, but all titles are in portuguese. Contact me by email: christinedantas*AT*yahoo.com. What follows are directions in portuguese.

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[Português]

MATERIAL EDUCATIVO SOBRE O UNIVERSO E O SISTEMA SOLAR

Criei um filme e um texto para alunos do ensino fundamental. O filme e o texto de narração estão disponíveis gratuitamente. Para adquirir o filme em alta resolução, é necessário o envio de um DVD virgem para cópia e o valor em dinheiro para postagem simples. Se houver interesse, entre em contato pelo email: christinedantas*AT*yahoo.com. Uma versão do filme em baixa resolução (para avaliação inicial) pode ser adquirido através do serviço YouSentIt (entre em contato pelo email acima). Futuramente, penso em colocar o filme no YouTube.

Você pode baixar o texto abaixo gratuitamente, sob licença Creative Commons:

O Universo e o Sistema Solar: em formato pdf para download. Este texto pode ser usado livremente, porém os direitos são reservados para Christine Córdula Dantas.

O sistema solar da figura acima foi feito em massinha de modelar simples.