Category Archives: 3. Prof. Skills & Abilities

Connecting Science, Maths & Music

In Peter’s workshop today we learnt about waves and vibrations. So what is a vibration? Where do you come across vibrations? And what happens during a vibration?

A vibration is the forward and backward motion of an object in a regular pattern. Vibrations can be so fast that you cannot see them. Vibrations start of big and become smaller and smaller unless energy is provided to keep the waves big. These vibration make sound occur.

Vibrations are detected by the ear. Once the sound travel to our ear, our ear drum vibrates and these vibrations are passed through the three small bones (called ossicles) to a spiral structure called the cochlea. Signals are passed from the cochlea to the brain through the auditory nerve, and our brain interprets these signals as sound.

We come across vibrations in every day life. A major vibration you would find it to communicate without is your vocal cords! Your vocal cord vibrate when you speak to make sound. In school when you ping a ruler or elastic band over an object you can often see the vibrations, the waves going backwards and forwards. If you go to a music festival and stand beside the huge loud speakers you can see and hear the bass vibrating the speaker. You can see and hear vibrations when they are at low frequencies.

Sound travels outwards in oscillations (backwards and forwards motion), in all directions, from the equilibrium point. The air around the equilibrium point creates the sound waves. Sound travels in longitudinal waves. Waves are made up of compressions and rarefactions. Compression happens when molecules are forced, or pressed, together. Rarefaction is just the opposite, it occurs when molecules are given extra space and allowed to expand.

 

Sounds waves need a medium to travel through, they will travel in a gas, liquid or solid – not empty space. The vibrations shake up the particles around them and these particle create a domino effect for the sound the travel. You can experiment with these three forms by making string telephones, talking underwater and putting a drinking glass to a wall.

To make something louder you need to add more energy to it, the term amplitude can be used to refer to loudness. Amplitude is the maximum height of the wave from its resting position – the greater the amplitude, the louder the sound. Pitch is to do with the frequency or number of vibrations per second. Frequency is measured in hertz (Hz). The closer together the waves are and the higher the pitch. On a guitar sting, the shorter the sting the higher the pitch will be as the vibration have less material to cover therefore the pattern of oscillations is more regular.

At the end of Peter’s workshop we got to experiment with vibrations and Beth, Beth and I experimented with music.

🐒 Can Animals Count? 🐜

This question was asked during our Discovering Mathematics lecture and created quite a debate/discussion on the subject of can animals really count, the same way as humans, or are they learning to ‘count’ in a different way? Before the lecture continued past the question I gave my opinion that animals can’t count like a humans can but perhaps an animals owner can teach the animal to recognise the shape of a number or teach it a command which represents a certain number. So the animal doesn’t actually understand the concept of a number but rather a command.

As we went through several animals and their abilities to seemingly count I was still stuck to my initial opinion. The first animal we looked at was a horse called ‘Clever Hans’, who could apparently count using hoof stomps to signal a number. Yet we examined this example closer to conclude that the horse was just understanding that a command from his master that meant to start stomping his hoof. The horse didn’t understand “what’s 2 + 3?” but rather the action the master did with their hand which singled to the horse to start and stop stomping his hoof when the horse got the the correct number.

Clever Hans’s understanding is similar to how a dog learns commands. A dog associates the word “roll over” the the physical action of rolling over. The same with Hans associated a movement from his master with the physical tapping of his hoof.

We looked at lions, ants, bees, robbins, chicks and chimpanzees too. Ants made me question my opinion on if animals can count a little bit. Ants are clever animals as they know exactly how many steps it takes them to get them to their nests. An experiment was done to test their mathematic ability. the first test was to see if the ants would stop short of their nest if a few of their legs were chopped off. The hypothesis was correct, they did indeed stop short. The second test was to see if the ants would go beyond their nest if match stick were to be added/stuck onto their legs. Again the hypothesis was right, the ants carried on past their nests. Scientist put this down to ants “internal pedometers”. The ants could travel back and forth in the dark or blindfolded and they would still make it in exact steps back to their nests (Carey, 2006). Did this change my overall opinion? Not yet.

We finally came onto the most convincing of all examples. The chimpanzees. In particular Ayumu the chimpanzee. We watched a video of the chimpanzee managing to tap the numbers 1-9 in the right order. Now my initial thought was “oh the chimp was simply just learned the look of each number as a symbol and has been taught their order”. But then the video clip continued to show that the chimp can still order the number 1-9 when the numbers only flash up for less than a second, then covered up, and still manages to remember the order they were in. Our class tried this and we definitely didn’t do as well as the chimp did. The video then also showed the chimp doing the same thing but this time there was gaps where numbers were missing…So does the chimp really know how to count or does it simply have a very good memory and has been taught forcefully to remember the order, even with gaps?

Ultimately, I was almost convinced. Trust me I was close to believing it. But I still don’t think that animals see numbers and understand them the same way we do. There’re so many arguments to say they can or can’t. If only they spoke english and we could ask them, then we would know for sure.

References:

Carey, B. (2006) When Ants Go Marching , They Count Their Steps (Accessed: 9/10/17).