Learning in the Absence of Education

Essays on Homeschooling

© Beverley Paine

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The Gobble Guts Pizza Fraction Game

A couple of years ago I got into the game making frenzy again, and had a brain wave for a great game to consolidate fractions, especially equivalent fractions. I hate teaching maths using text books, as it often confuses more people than it enlightens. Games that reflect real life can be great fun, and very challenging. This one was. Making it was just as challenging, and a real lesson in maths in itself. I'd thought you'd like a copy of the instructions, just for fun.

First of all we made a fractions cake from cardboard. Using a pair of compasses we drew equal size circles on stiff cardboard and cut them out. We then dissected them into all the fractions up to twelfths. This was tricky and took a few hours, with much learning and experimentation. Accuracy is important.

We labeled each fraction of each 'cake'. And then coloured all the pieces - the 'whole' was green, the halves orange, the thirds pink, the quarters blue, etc. I made a holder of cardboard, like a cylinder, with a base, to store all the pieces. We disregarded the sevenths and elevenths for the game, but used them for other fractions activities.

Making the board was easy. I used a piece of card board, the stiffer the better. I then drew twelve circles on it using a small bowl as a template, in a four by three grid. I connected these circles with two way horizontal and vertical arrows indicating that you can move in any direction from each circle. Each circle was labeled as below, and a small circle within illustrated the fraction shown.

Make 1/2 Eat 1/8 Make 1/12 Finish
Eat 1/4 Make 1/3 Eat 1/6 Eats 1/5
Start Make 1/10 Eat 1/3 Make 1/9

We made 'men' from beads glued together, but you can use anything.

Everyone begins on 'start' and someone goes first by throwing a die. Each player must move the number shown on the die. If the player lands on 'make 1/3' he or she must take the fraction 1/3 from the pizza 'bank'. The player may then throw a 1 next turn. He can move in any direction, but must be able to do what the circle he lands on says. For example he can 'eat 1/6' by exchanging his third for two sixths and then returning 1/6 to the 'bank'. Or alternatively he can 'eat 1/12' by exchanging his third for 4 twelfths and then returning 1/12 to the 'bank'. Another option would be to 'make 1/10' by collecting a tenth from the bank. Etc. This is where the game can get tricky.

The object is to make a complete, or more than one, complete pizza, and try and land on finish. This is much harder than it first appears and is a lot of fun. Cooperative play is almost essential for someone to win! If you want an easier game leave out fifths and tenths. This can be really tough and frustrating for someone who is too young, so I'd advise playing their character with them and really helping them out, otherwise you may just confuse fractions in their minds. The game really teaches equivalent fractions in a hands on concrete way.

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Excerpt from Learning in the Absence of Home Education: Essays on Homeschooling
© Beverley Paine, 1999

 


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The mother of three grown homeschoolers, Beverley Paine is the author of several books on beginning home education in Australia. Her family began their home education adventure in 1986.
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More than 60 essays covering a wide range of home schooling concerns and issues, such as late readers, value of play, socialisation, learning maths, part time school, and thoughts on testing. Learning in the Absence of Education is an intimate and honest look at day-to-day homeschooling life spanning several years. Includes articles on learning maths, reading and writing, spelling, socialisation, part time schooling, fathers and homeschooling, value of play, grading and testing, coping with stress and illness, and much more.

"These essays are the real life experiences of a long term home educator and activist and make inspiring reading... a valuable resource for all those interested in home education.... What I particularly appreciate are the personal day-to-day stories that are so specific in the incident or outcome These are essays written over time that reflect natural learning (read life) as it really happens.

I really enjoy Beverley's writing style in this book. It is very direct, sometimes even challenging the reader. She tries to be scrupulously honest always so we read of advantages and disadvantages of whatever topic she is discussing. She will also point out the ideal situation and how she thinks she falls short. Sometimes she is self-deprecating; sometimes she glows with enthusiasm for their successful lifestyle. There are touches of humour and sometimes wry cynicism.

Hopefully this book will answer many people's questions and fears about natural learning. It is all in here: how right it feels when natural learning is working well, what happens when we have insecurities ourselves, and the results so far. By presenting the natural learning case in this essay style, Beverley has been able to reflect the different moods, the ups and downs, that make the book a valuable resource for all those interested in home education, whatever their current style."
Janine Banks, home educator, Qld

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