# Sun and math relationship

### The interesting connection between math and music

STELR MATHS SOLAR PANELS. 1 Show the relationship between angle of elevation of the Sun at the equinox and the observer's latitude. Hint: Use. Learn about the math behind solar eclipses and find out what mathematical coincidence is responsible for solar eclipses in the first place. Astrology was concerned with the issue of the relationship between configurations Imagine having the sun suddenly disappear and having darkness descend.

And as you are aware, keeping your teenage daughter's interest and confidence in math is crucial.

### Lines, rays, and angles - a free geometry lesson with exercises

We all know what a big difference a little intrinsic motivation can make. As a start, make it personal and find out what careers interest your daughter.

You will find career descriptions, bios of professional women, and tips for parents on how to encourage their daughters to pursue math, science, technology, and engineering. Locally, Science World has a program called Opening the Door. This is a networking event for students in Grades who are interested careers in science, technology, engineering or mathematics.

## Lines, Rays, and Angles

The program provides students with the opportunity to meet professional scientists, engineers, technologists and technicians who work in a variety of fields. The key is to connect kids with real people who have careers which use math and science.

Perhaps talk to your daughter's math teacher about inviting a local scientist or business person who uses math in their job into the classroom. Another site that I came across that looks fabulous is the Expanding Your Horizons conference network in the United States. They provide support to professional women in sciences, technology, engineering, and mathematics, who want to plan and deliver a conference to encourage young women like your daughter to keep up their math and science studies for future opportunities.

And they are not the usual ones which you would think of! On a daily basis, do all that you can to encourage and help her be successful in math at school. Check with her teacher to see what support you can help provide at home.

You could also take a look back at our original Math Matters article about why we all need math. Math tips for parents Are those struggles getting your child to practise her instrument every day worth your trouble? Not only is your child developing her ability to make beautiful music, but she is also strengthening her mind for mathematical thinking.

### AMS :: Feature Column from the AMS

Keith Devlin in his book, The Math Gene, points out that musicians and mathematicians alike both use abstract notation to describe on paper the patterns that exist in their mind. Similarly, a trained mathematician reading mathematical symbols moves directly to think about the patterns that the symbols represent.

Although the imaging of amateur musicians and mathematicians has not always shown the use of similar circuits in the brain, the potential for mathematical and musical neural pathways to complement each other exists if your child keeps practising that guitar! Whether your child practises and composes music daily, or just enjoys dancing around the house to music, providing the right music for the right purpose can help your child learn in general but potentially excel at mathematics.

Play music in the background during a lesson or homework session. Music can activate us emotionally, mentally and physically to help us remember the learning experience and information. Music can also create a highly focused learning state in which large amounts of content information can be processed and learned. Baroque music, such as that composed by Bach or Handel that is 50 to 80 beats per minute creates an atmosphere of focus that leads students into deep concentration in the alpha brain wave state.

Learning vocabulary, memorizing facts or reading to this music is highly effective. On the other hand, energizing Mozart music assists in holding attention during sleepy times of day and helps students stay alert while reading or working on projects. When helping your child with memorizing facts or figures, be they mathematical or not, try putting the information to rhythm or rhyme.

Hyde and do what I really wanted to do. I have a moral obligation to more junior scientists to bring Mr.

• The Sun, the Moon and trigonometry
• The interesting connection between math and music
• Basking in the Sun

Hyde out of the academic closet and do my part to push the boundary a little. I find it very appropriate that Adams joked about 42 because mathematics has played a striking role in our growing understanding of the universe. The idea that everything is, in some sense, mathematical goes back at least to the Pythagoreans of ancient Greece and has spawned centuries of discussion among physicists and philosophers.

Please stop reading for a few moments and look around you. You can probably spot a few numbers here and there — for example the page numbers of this magazine — but these are just symbols invented and printed by people, so they can hardly be said to reflect our universe being mathematical in any deep way. When you look around you, do you see any geometric patterns or shapes? But try throwing a pebble, and watch the beautiful shape that nature makes for its trajectory! The trajectories of anything you throw have the same shape, called an upside-down parabola.

When we observe how things move around in orbits in space, we discover another recurring shape: Moreover, these two shapes are related: The tip of a very elongated ellipse is shaped almost exactly like a parabola. So, in fact, all of these trajectories are simply parts of ellipses.

We humans have gradually discovered many additional recurring shapes and patterns in nature, involving not only motion and gravity, but also electricity, magnetism, light, heat, chemistry, radioactivity and subatomic particles.

These patterns are summarized by what we call our laws of physics. Just like the shape of an ellipse, all these laws can be described using mathematical equations. There are also numbers. The answer is 3, by placing them along the three edges emanating from a corner of your room. Where did that number 3 come sailing in from? We call this number the dimensionality of our space, but why are there three dimensions rather than four or two or 42?

So what do we make of all these hints of mathematics in our physical world? Most of my physics colleagues take it to mean that nature is for some reason described by mathematics, at least approximately, and leave it at that.

Winslow Townson The Mathematical Universe Hypothesis I was quite fascinated by all these mathematical clues back in grad school. One Berkeley evening inwhile my friend Bill Poirier and I were sitting around speculating about the ultimate nature of reality, I suddenly had an idea: My starting assumption, the external reality hypothesis, states that there exists an external physical reality completely independent of us.

But if we assume that reality exists independently of humans, then for a description to be complete, it must also be well-defined according to nonhuman entities — aliens or supercomputers, say — that lack any understanding of human concepts. That brings us to the Mathematical Universe Hypothesis, which states that our external physical reality is a mathematical structure.

Since the ball is made of elementary particles quarks and electronsyou could in principle describe its motion without making any reference to tennis balls: That would be slightly inconvenient, however, because it would take you longer than the age of our universe to say it. It would also be redundant, since all the particles are stuck together and move as a single unit.

Inventing words for them is convenient both for saving time, and for providing concepts in terms to understand the world more intuitively. Although useful, such words are all optional baggage.