Maths Investigation 1

Today we worked on a couple of maths investigations that gave us a bit of brain drain.

Firstly, the Corner to Corner counter game... on a 3x3 grid, how many moves does it take to get the red counter from the top right corner to the (empty) bottom left?

We found that the shortest number of moves is 13, and then tried out the game with a 2x2, 4x4 and 5x5 grid. We charted our progress and a pattern emerged. We found that every time a new grid was used the number of moves increased by 8.
We worked toward finding a rule for the pattern.

Lastly we investigated Ninety degree Spirolaterals. This is the pattern for drawing a 3- spirolateral: 1 + 2 + 3 + 1 + 2 + 3 etc. You draw for one square, then turn ninety degrees, draw two squares, turn ninety, draw three squares, turn ninety, and start again at one. We found that some spirolaterals come round to the start, and others (like the four) do not. They continue on indefinitely.

Morse Code and Flanders Fields

Today we had a really interesting session which I so enjoyed - thanks everybody!
Morse Code - what is it, why did they use it, and how is it transmitted?
We learned how to spell our names with the help of a very geeky (but actually very catchy) Morse code song.



Isaac found for us a cooool website which translates any message into a Morse one. Awesome! Click here to be taken to it. Imagine how good you'd have to be at Morse Code before you could interpret it!
It would be like learning another language.
We also added in the International Aviator's Alphabet (just for fun, you know) and learned how to say our names.
Here is a very interesting and rather emotional true story about how the Colombian police department used Morse Code to send a message to 16 hostages, who had all been in the armed forces and all knew Morse Code as part of their training. We spent some time talking about this story, the situation in Colombia, listening to the song, and paying attention to the translated English lyrics.



If you had been trained in Morse Code, I think the pattern would stand out for you just like hearing English lyrics suddenly in amongst Spanish ones. What a clever plan!
Click here to read the whole article.

We also spent a little bit of time looking at the very famous poem "In Flanders' Fields". We talked about the parts of the poem we liked the most, and why. I wonder why this poem is so famous?
Stacey found out a little bit about the poet for us - Major John McRae. Sadly he did not survive the War.

Hard Tack!

Today we created a little booklet for the GD library - World War One in numbers. Each student chose one fact of the Great War to represent in some way on a square card, which was later hole punched and clipped together with book rings.

We researched some New Zealand figures from World War One, such as Sir Harold Gillies - plastic surgeon pioneer - Dave Gallaher - All Black Captain who died at the Somme - and Henare Te Wainohu - chaplain on Gallipoli.

Dave Gallaher

Sir Harold Gillies

Henare Te Wainohu

In the afternoon we attempted to make Hard Tack - the soldier staple which has as many stories told about it as Anzac Biscuits. One is that it saved a man's life when it caught a bullet in his breast pocket. Another is that it was so hard and disgusting that even the weevils didn't try to eat it. Apparently some hard tack from the Great War is still preserved in a museum somewhere (possibly more than one) and it's likely to taste just as it did 100 years ago.

Mrs Armstrong's recipe for Hard Tack

2 cups of flour
3 tsp salt
Mix these together then make a well in the centre and add one cup of water slowly, mixing as you go. When it's all added and looks a bit stringy, use your hands to make a dough. Roll out to a quarter of an inch. Sprinkle with salt. Mark into squares or rectangles (we forgot this step at school), prick with a fork and bake for 30 minutes at 180 degrees. Flip over and bake again for 30 minutes.

Soldiers used to dunk hard tack in their tea or coffee to soften it. They also used to fix it on the end of their bayonets and toast it over the fire - it's definitely more palatable warm.

My strange children have demanded it in their lunchboxes.

What makes a leader great?

Last week we came across an interesting fact: Leaders gain trust by conforming. So today we looked more closely at Leadership. Some of the students had really great insights into this as they have recently been on a leadership course.
First we brainstormed the differences between being bossy and being a leader, jotting down our ideas on a Venn diagram.
Then we shared the traits of the best leaders.
We read together the book of "Yertle the Turtle" which is a story of how not to be a good leader, and the students were able to pick out exact examples of Yertle's mistakes, like his selfishness - the way he put his needs before any of the other turtles.

We ended the session with a suggestion: if you knew that Dr Seuss was writing a book about Hitler and his lack of thought for other humans in his quest for power, how would that change your view of the book?



Social Loafing

What a cool phrase! Today we learned about some other concepts of group psychology, and social loafing is one of them. It's basically the effect that takes place when the tug of war is on, and each individual member of the group chooses to work less hard than they might if pulling on their own.
Deindividuation is what happens when someone feels free to cyber bully, and say things they would never say in person.
Here are some of the interesting facts that have been discovered about groups after lots of studies...

10 Rules That Govern Groups

What most groups of people have in common.

Much of our lives are spent in groups with other people: we form groups to socialise, earn money, play sport, make music, even to change the world. But although groups are diverse, many of the psychological processes involved are remarkably similar.

Here are 10 insightful studies that give a flavour of what has been discovered about the dynamics of group psychology.

1. Groups can arise from almost nothing

2. Initiation rites improve group evaluations

3. Groups breed conformity

4. Learn the ropes or be ostracised

5. You become your job

6. Leaders gain trust by conforming

7. Groups can improve performance…

8. …but people will loaf

9. The grapevine is 80% accurate

10. Groups breed competition

Conformity

Today we looked into some group psychology, and in particular what it is about groups that makes us act in a particular way.
We read a book called Ferdinand, about a bull that is unlike all the others and refuses to conform. It's a wonderful example of the kind of diversity which is not only accepted but promoted in our modern society.
However, that doesn't change the fact that most often than not we will find ourselves behaving in a certain way in order to conform with the group we belong to, even if the group's behaviours are not in line with our usual personality.
There have been many studies done along these lines.
We watched a Khan Academy video and learned some new terms: Groupthink, the Bystander Effect, and Deindividuation.

Bystander effect:

Multiple Intelligences and Social Identity

Today we had a look at the graphs of our Multiple Intelligence quizzes. We talked about why we took three of them and averaged the results, and we talked about the dangers of seeing a test like this as a negative thing. We also talked about how the results are useless if we choose to skew them.
This video from the Khan Academy looks at Self Concept and Social Identity, and Kristy asked a good question about comparisons and whether they are a Good Thing or a Bad Thing. I think in the end it depends on attitude - we could use comparisons to increase our self esteem, or we could use them as a springboard to self motivation.

Self concept, self identity, and social identity:


We read together the book "Frederick" by Leo Lionni. Frederick is a field mouse who does not help his four brothers and sisters collect food stores for the long winter ahead. Instead he tells them that he is gathering the sun, words and colours so that it will keep them going.
The students immediately saw that Frederick had different smarts from the rest of his family. We discussed whether he should be judged negatively for this. It also raised questions about the nature of work, and whether all contributions to a joint goal should be rewarded in the same way. What would happen if all his family decided they were poets? What if they were all collectors? Danielle mentioned that the book is about diversity.
I introduced the students very briefly to the concept of Socialism, its aims and ideals.