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41 Maths things to do before you’re 12

September 1, 2014

Mathspig outdoor play quote

mathspig outdoor-play-app

A growing body of research shows us that outdoor play leads to better physical and mental health, has positive effects on cognitive function and learning, and reduces the incidence of behavioural problems.” Maria Zotti, Nature Play, SA.

Peter Dunstan, Principal Kilkenny PS, SA, writes in SAPPA magazine, Primary Focus, that outdoor play fosters “wonderment, independence and freedom” as well as “social skills, imagination, creativity and problem solving”.

Inspired by the SAPPA and NaturePlay, which produced 51 Things to Do before you’re 12 Mathspig has produced her own outdoorsy maths list:

 Mathspig 41 maths things 1Mathspig 41 maths things 2mathspig 41 maths things 3

Mathspig 41 maths things 4mathspig 41 maths things 5

References:

7. Robin Hood Give us your best shot.

9. You can measure the volume of your lungs by blowing one breath into a balloon and pushing it into a full bucket of water. Measure the overflow.

15: Outdoor Maths: Times Tables

21. Light intensity links. Here and here.

25.  Sound Volume Measurement

36. Killer heels that really kill.

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MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig …………………………………………………. with Kerry Cue

August 19, 2014

Mathspig sidecar 2

Hellooooooooo Darling,

So who will be my stunt double when they make the film of my exciting maths life. I’m thinking

Miss piggy.

.

.

…Miss Piggy

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babe.

.

.

.

…Babe

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While I’m deciding you might enjoy some Stuntman Maths as well as Stuntwoman Maths and Stunt pig Maths:

1. STUNTMAN MATHS: Car Stunts

2. STUNTMAN MATHS: Jumping off a Building

3. STUNTMAN MATHS: Motorbike Jump

And if you are a film buff you should check out my 10 Movie Cliches Debunked with Maths posts:

1.You can duck bullets.

 

2.You can out run a fireball.

 

3. You can out run machine gun fire

 

4. If you are involved in a car chase, hijacking, explosion, volcanic eruption or alien invasion, you will not go into shock.

 

5. You can jump out of an airplane that is about to crash and catch the baddie who took the last parachute.

 

6. If the pilot dies the control tower can talk you down.

 

7. You can safely jump from a burning skyscraper/bridge/aircraft into water.

 

8. You can survive any amount of beating in a fight.

 

9. A single match or candle will light a room the size of a football stadium.

 

10 You can out run a lava flow

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Mauw Mauw

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Mathspig

 

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1. Stuntman Maths: Car Stunts

August 19, 2014

“With enough stupidity you can get any car to roll over” (MSN AUTO)

What stuntmen and women need is maths!

Maths is essential to the process, from calculating speeds and braking distances to looking at the ratio of the amount of film shot to the length of time of the end sequence. The stunt and crash is outlined, and the co-ordinator explains how he must calculate speeds and stopping distances carefully.

So you want to be a stuntman?

First think of the pain.

Mark Eiden, 52, a professional stuntman (pictured) who is not only afraid of heights, but was once told he likely wouldn’t walk again. Eiden’s had surgery on both arms and shoulders, five knee surgeries, six nasal reconstructions, foot and hand surgery and a facial cast. He fell off the top of a stunt car at 40 mph when the tyre blew. He gaffer taped his ear and continued, despite severe concussion. Northern Express Michigan

1 J Mark Eiden  Northern Express

If you still want to be a stuntman do the Maths:

Rolling a Car:

You can use quick handbrake turn, speed around a corner, fishtail into the curb or some other lunatic thing. The most controlled way to roll a car is to use a ramp.

ramp caranddriver.com

These ramps often have a kicker at the end to add extra lift. Ramp calculations can be complicated, but the simplest way to look at the maths is to determine the angle a car will roll ie. When the Centre of Gravity moves over the base.

Centre of Gravity vs Base Width

The distance between the front wheels in cars is often called the track width.

1a Centre of Gravity

2 Stable Couch3 SUV angleBase vs CofG SUVsTable from Accident Reconstruction Website

4 Bus Centre of Gravity

5 Small car centre of gravity

6 Lambogini Diablo Centre of Grvity

So the Lamobgini Diablo is very hard to roll (build a higher ramp) and it therefore beats the SUV for stability every time.

Balancing on 2 Wheels

A more skilled stunt involves driving a car on two wheels. A very skilled stunt driver can lift the car onto wheels by snaking the car back and forth across the road until it balances on 2 wheels.

From the Centre of Gravity vs Base angles above you can see that the SUV is the easiest car to balance of 2 wheels.

But there is nothing quite as crazy as this SUV stunt:

Saudis changing car tyres, just insane.

Picture 1

View full video here.

Safe Driving Info here

 

 

 

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2. Stuntman Maths: Jumping off a Building

August 19, 2014

The main concern when jumping out off a building is that the airbag (cardboard boxes) cover the drop zone.

The maths calculations involved in jumping off a building are straightforward. You might like to check out How Maths Solved a real murder.

Jump Height that Kills

It doesn’t take much of a fall to cause damage. Sean Hughes, professor of surgery at Imperial College, London. Says “From a height of 3m you could fracture your spine,” he says. “At around 10m, you’re looking at very serious injuries.” (The Guardian, 20 MAY 2014)

Stunt Jump from building from standing start

1 stunt jump from building

As this jump – as in most base jumps – involves a standing start:

2 Mathspig Jump off building

Airbagsupplies.

Stunt jump from building running

We will assume you are no Usain Bolt. His running speed, the fastest in the world, is 44.72 km/h (12.42m/s, 27.44 mph).

We’ll say your running speed on take off is:

Vy = 15 mph = 24.1 kph = 6.7 m/sec

3 Mathspig stuntman running jump

Don’t do this at home.

NB: Airbag dimensions: 20m x 20m x 4 m

Handstand of death

Would you jump off a 25 story building?

 

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3. STUNTMAN MATHS: Motorbike Jump

August 19, 2014

Star Stuntmen

Picture 2

Star Stuntmen Monte Perin (pictured) has involved many films, including “Spider-Man,” “Star Trek, “Indiana Jones and the Kingdom of the Crystal Skull” and portraying Arnold Schwarzenegger’s stunt double in “Terminator 3: Rise of the Machines.”

1. perlin_stunt_ Terminator 3

Perhaps his most difficult stunt was landing his Harley in an open boxcar of a moving train for Disney’s 2008 Adam Sandler movie “Bedtime Stories”. In a career of over 25 years Perin has broken “almost everything” including both his arms, legs, knees, feet, ankles, several ribs, his back and his pelvis. See Confessions of a stuntman

Veteran stuntman Evel Knievel (1938 – 2007) was the pioneer of many stunt jumps. Here he is jumping 10 cars and 3 vans in 1973.

2 Evel Knievel JUNE-23-1973

His injuries are legendary:

3 the-many-injuries-of-evel-knievel1

More Evel Knievel

Ramp Design

4 Ramp Design Angle of final kicker

The angle of the kicker in ramp design can vary from 100 – 700 (See below)

5 Robbie Maddison's 2008 New Year's Eve jump Arc de Triomphe at the Paris Las Vegas

Picture 2

 

Moto-X Ramp Jump Maths

6 motorbike -parabola  Mr Reid

7 bike jump 1 Method 1



8 bike jump Method 1 final

 

9 bike jump method 1 final

 

Picture 2


10 bike jump method 1 final

 

As any bike nut knows increasing speed and angle of take off will increase jump distance.

Here is a graph from final gear for speed vs angle to jump 90m.

12 optimising ramp angle

 13bike jump  Method 2

METHOD 1 is approximate (See STEP 1 & STEP 2 above), but as METHOD 2 produces the same ans (See above), it is very useful.

You will find a thoroughly detailed calc for STUNT JUMP MATHS here:

And everything you ever wanted to know about PHYSICS OF STUNT JUMPS here. 

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MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig …………………………………………………. with Kerry Cue

July 31, 2014

Mathspig Politicans maths

Hellooooooooo Sweeties,

Mathspig is always bemused that politicians (all shades), who struggle with maths of the economy, taxes and even their own expense accounts, suddenly become experts on how to teach maths.

Back to Basics is the current catch cry of politicians around the world … to win votes, of course. But what does it mean?:

Back to the 1950s?

With class sizes of 50, student reports stating ‘Margret was 33rd in the grade’ and the ‘strap’ waiting at the ready in the teacher’s desk draw.

Back to the 1960s?

When maths wasn’t taught to girls. (In Year 8 Mathspig went to a convent. The nuns only taught arithmetic.)

Back to the 1970s?

When the school curriculum was seen by some to be class-based patriarchal propaganda. Some schools stopped scoring football games to prevent the elitist paradigm spreading.

Today?

For some Back to Basics means Direct Instruction: a rigid, repetitious form of maths instruction when maths can be so much more. See Beware Maths Fundamentalists

Mathspigs Mission:

To make maths interesting, relevant and fun.

Here are some examples:

RATES:………………………………………………………………….

The Curious Nature of Drummers’ Brains

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% and LINEAR GRAPH:………………………………………

Hunger Games: How long does it take to bleed to death?

 ………………………………………………………………………..

PARABOLIC EQN:………………………………………………….

Hunger Games:  How much an arrow drops in 100m?

 ………………………………………………………………………..

GEOMETRY:………………………………………………………..

The raising of the Concordia

 ………………………………………………………………………..

PYTHAGORUS:…………………………………………………….

How Radar Works and the Search for a Ghost Ship

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Cheerio

Mathspig

 

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Beware Maths Fundamentalists

July 28, 2014

Louis CK Quote

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Is maths becoming a dead language?

mathspig fractionsIn the 1980’s American restaurant chain A&W were going to kick Mcdonald’s marketing butt. How? Instead of a quarter pounder burger they brought out and promoted a third pounder!!!! The promo failed. Why? Americans didn’t get fractions. More frightening, in Why do Americans stink at maths?, Elizabeth Green, The New York Times ( 23 JUL 2014) was the US study that found 17 percent of medication errors were caused by maths mistakes made by doctors or pharmacists.

Meanwhile students in Australia, USA and the UK are dropping out of maths like flies.

Something is seriously wrong with the way we teach maths.

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Vote 1 Me. (Probably can’t count to 2 anyway.)

vote slip 2

Politicians around the world use education to win votes. We will raise numeracy standards they promise. Of course, this may not help your child, just the state averages.

Nevertheless, Back to Basics concepts are being pushed in the UK, USA and Australia by politicians.

us flagIn 2009 Obama backed “common standards” and “common core” curriculum in maths supported by $USA 4 Billion in grants. (Why do Americans stink at maths?, Elizabeth Green, The New York Times, 23 JUL 2014).

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uk flagLater this year a new ‘Back to Basics’ Curriculum will be rolled out in the UK with an emphasis on times tables and mental maths. (Schools must go back to basics to raise maths standards, Graeme Paton, The Telegraph, UK, 18 FEB 2014)

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aus flagAustralia has introduced a National Curriculum and National Testing (NAPLAN) in numeracy and literacy in recent years. The current government just put up $22 million to back Direct Instruction in Indigenous Schools across Qld, NT and WA (Noel Pearson’s learning engine, Jamie Walker, The Australia, 5 JUL 2014) Direct Instruction is a commercial product involving very rigid and proscriptive Back to Basics curriculum and testing program from National Institute of Direct Instruction based in Eugene, Oregon.

Teachers use strict guidelines and must keep within the program. Eg:

Picture 2

Picture 3……………………………………

Do back to basics programs work?

Maybe. It depends on what you are measuring. Students can improve some maths skills. The work sheets are very clear and that is to be applauded. And so, in time, standards may rise on paper.

But there are still two huge problems.

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We have ways of teaching to make you hate maths!!!!

Firstly, there is the McMath Element. Do you want Pythagoras with that quarter pounder? Repetitive, pre-packaged, parrot-style learning is easily forgotten. According to Professor Roediger professor of psychology at Washington Uni ‘effortful, varied practice builds mastery’. (How tests make us smarter, New York Times, 18 Jul 2014).

Secondly, rigid drilling is boring. Students grind through the exercise after exercise being constantly reminded that maths is dry, dull and boring on a coma-inducing scale. Students will, as is the current trend, drop maths as soon as they can.

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Why would some kids prefer water boarding to doing maths?

According to Peter Sullivan, Professor of Mathematics Edu at Monash University students drop maths because it is:

not related to the real world,

repetitious,

boring

and restrictive.

See STOP THE PRESS: Maths Teaching Fails

But it is not just students who find maths boring. Teachers who are forced to adopt rigid, repetitive and monotonous prepackaged courses also become disillusioned.

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One size does not fit all and local knowledge counts

Grade 3Elcho Island MapI’m sitting in a Grade 3 classroom in a remote Indigenous School on Elcho Island off the coast of NT. (Last week I ran some fun/creative workshops for staff.) The young enthusiastic teacher (with the help of two indigenous interpreters) was teaching the students to count to 10 and write the numbers from 1 – 10.

Students arrive at school speaking only the local Indigenous language. They must acquire literacy skills in their own language before they are taught English in Grade 4. There is a good deal of catching up to be achieved in numeracy skills. Many Indigenous languages only name the numbers 1, 2, 3 and many. The teachers on the island are familiar with the difficulties facing their students and work hard with empathy and enthusiasm to overcome multiple disadvantages of their students.

Teachers on the island have developed extraordinary resources and creative programs to engage their students in learning maths. Imposing a rigid curriculum regeme like Direct Instruction on Elcho Island schools will further disadvantage the students and also demoralize the dedicated staff.

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Ways of teaching maths that work

Here are two teaching methods that are not only flexible and fun, they have been proven to work in the classroom.

The Walker Learning Approach

Walker learningKathy Walker is an Australian educator, author and early years curriculum expert. Her books include What’s the Hurry? and Play Matters. The Walker Learning Approach, which is used in many schools around Australia including Elcho Island, is an evidence-based strategy that encourages play-based discovery and learning as well as explicit instruction in numeracy and literature (K – Year 8). More here.

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Magdelene Lampert: Learning by Communication Method

teaching probMagdalene Lampert, until recently professor of education at the University of Michigan in Ann Arbor and author of “Teaching Problems and the Problems of Teaching , has replaced ‘answer-getting’ with ‘sense-making.(Why do Americans stink at maths?, Elizabeth Green, The New York Times, 23 JUL 2014)

She advocates incorporating communication in maths as ‘being able to explain your thinking so that someone else grasps your ideas’ improves your undestanding ( as any teacher knows from their own experiences in front of the classroom.)

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LET TEACHERS TEACH

Mathspig Pedagogy

Yeah! MATHS: Guaranteed to be boring one day and scary the next but always a complete waste of time – there’s a product that’s not going to sell.

Let teachers teach. This should be a campaign slogan to put maths teaching back into the hands of the people, who know what is going on in the classroom. Imposing rigid regimes on teachers is counter productive as the teachers become as bored, as angry and as disenfranchised as their students. I mean ‘why bother?’ We need teachers with passion, enthusiasm and creativity to teach maths, not Mathsbots pre-programmed by politicans to win votes.

Politicians do not teach your children. Teachers do. If politicians and the bureaucracy make teachers lives miserable, this misery will be passed onto their students … Your children. There must be checks and balances – and cliches, I guess – but it is the teacher who passes on their love or hatred of maths to your children. If the community gives teachers the chance to teach maths creatively and with humour, they will take up the challenge and your child will benefit.

Mathspig Let Teachers Teach

I was taught by a young and enthusiastic Maths teacher at a small rural hgh school in the sixties. That’s almost 50 years ago – OMG! Don’t do the maths. His name was Barry Underhill.

Mathjspig a gogo 1I’m Mathspig. And I love maths.

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