Monday, 16 January 2017

Homeschooling Maths Resources

Picture: Centre of Daisy, metallic 3-D fractal

One of the great joys about homeschooling is the ability to pull in different resources and the freedom to explore all the different rabbit holes of knowledge. For us, maths is not limited to what is prescribed in text-books, but is a fundamental way of seeing the world around us (hello two maths majors in the family - my kids don't stand a chance).

Here are some of our favourite maths resources - that both teach and inspire kids to learn and understand maths.

For Younger Kids

The Number Devil: A Mathematical Adventure, by Hans Magnus Enzenburger

This is a fantastic chapter book about a boy who doesn't like maths until a little number devil takes him on a tour of numbers. It is an amazing introduction to some of the great ideas in mathematics with cute drawings along the way and puzzles to keep you thinking. Think Klein bottles and Fibonacci.

The Boy who Loved Maths: The Improbable Life of Paul Erdos, by Deborah Helligman

This is an adorable little book about Paul Erdos, one of the great mathematicians of the 20th Century. He was also a homeschooling 2e kid, so great for showing that being unconventional doesn't need to stop you following your dream. Also, each page has a different maths idea embedded in each page (with a handy key at the back to help you understand what is going on). It is beautifully illustrated as well. A real treat.

Picture: Pentagonal 3-D Shapes

Dragon Box Elements

This is a great way to introduce geometry proofs to even the youngest child. Really! It works - my 5 year old adores creating little triangle warriors to 'fight' the evil tentacle monster. It's intuitive and your little ones don't need to know how to read to play - it's all done visually.

Cuisenaire Rods

These are so old-fashioned, but I adore them. Yes, I am the kind of homeschool mum who buys Cuisenaire Blocks for Christmas presents! Let your kids explore with them and they will find new ways of using them and learning number sense along the way. My two spontaneously decided to sort them into small groups after a mini-lesson on division, and then they had so much fun discovering how many different coloured blocks they could match together. They've also loved building houses and pools out of them as well.

Kahn Academy

Kahn Academy can be hard to use for little ones who are not yet reading, but they have recently expanded so there are more options for younger children. You may have to sit and supervise / read the questions for your pre-readers. My son loves reading questions out for my daughter, which is adorable.

Singapore Maths

If you really must do work-sheet type maths, Singapore Maths is pretty decent. It has lovely illustrations and breaks down the maths into digestible bite-sized portions. It also uses a mastery-based approach, rather than a spiral, so it teaches maths in a different order from typical school books. There are also editions for American and International maths - very useful for the currency sections (Singapore currency is very similar to Australia in denomination so it works well.) Be warned though- they are very expensive! And if you have a voracious maths kid they may power through them a little fast. My son did 5 years worth of their books in 3 months. That's when I called it quits on buying books by grade level!

Picture: Repeating rotating and shrinking cubes



For Older Kids

Kahn Academy

Kahn Academy is really quite excellent for older kids. They have also added in mastery challenges, which means kids can pre-test on different areas. This is great for kids and particularly for parents who may not know exactly where their child is mathematically, and saves on endless repetition. Kahn Academy also has some great back-end resources for parents and tutors so you can craft the direction you want your kids to work towards.

Dragon Box Algebra

This is a great resource introduced to us by our wonderful maths tutor (see below) that turns algebra into a visual learning experience. The goal is to solve mini-problems by feeding your dragon. It's a drag and drop game that slowly builds up algebraic knowledge step by step, and only towards the end does it introduce standard notation. Once you have finished the whole game, there is also the option to redo the whole thing using standard algebraic notation. This is a really excellent resource and helped by son get over his road-block on algebra by turning it into something he could visualise. It's also a lot of fun.

Numberphile

This is our go-to resource for cool new videos on maths ideas. It's a YouTube channel run by Brady Haran from Nottingham University, where mathematicians in Britain get to talk about wonderful puzzles and conundrums in mathematics - all in easily accessible form and designed for lay audiences. You won't find a better introduction to the world of maths possibilities than here.

Picture: Fractal repeating pattern on brassica

Vi-Hart

. . . Except for maybe Vi-Hart. Vi-Hart's clever videos on visual maths are something we come back to again and again. From fractals to Fibonacci through to hexaflexagons, there is going to be something here that will both entertain and enlighten. Also, we were swamped with hexaflexagons for weeks once we watched her video as the kids loved making their own over and over again.

Mr Gelston's One Room Schoolhouse

Mr Gelston is my son's maths tutor - yes, with two mathematicians in the house we also use a maths tutor! Sometimes, it's just as important to get different perspectives on maths as it is to read different types of literature. The wider the exposure, the more nuance that your kids can understand about the wonders of mathematics. This is something that Mr Gelston does masterfully. He is also a whizz at understanding how to teach 2e kids who may jump from detailed explanations of the infinite prime number conjecture, or algebra from first principles to answering only in beeps.

Adam Spencer's Number Books

Adam Spencer is a mathematician in Australia who is both knowledgeable and funny. His books are fun and pitched to a lay audience, but they don't skimp on maths detail. They are a visual feast and his books have been my son's go-to bed time reading for many many months now.

His books include: Adam Spencer's Big Book of Numbers, Adam Spencer's World of Numbers, Adam Spencer's Enormous Book of Numbers, and Adam Spencer's Time Machine. Yes, they are different books.

Underside leaf texture showing self-similar fractal patterns

Other Resources

We have used other resources over the years, and one that is still a favourite is Cool Maths Games. This is actually more logic puzzles than strictly obviously maths learning, but it is a great supplementary resource for learning about numbers.

Minecraft is also been a boon for introducing Boolean Algebra in a more game-friendly form as well as helping my daughter understand multiples of two!

I hope some of these resources are useful for your homeschool - and help to give a glimpse at the vast possibilities that are available for homeschooling mathematics. Happy Mathing!

Monday, 2 January 2017

2016 in Review

text - "2016 In Review" surrounded by 8 images. Crayons, poppy, lego, people with maths, surprised girl, writing with crayons, clock, girl looking away

Here we are, 2017. I'm not sure I'm ready for it, and I'm very sure I'll still be signing 2016 on everything for the next few months. I just got the hang of writing 2016, darn it!

So in memoriam to 2016, here are the most popular posts of the year:


Gifted/2e Issues

Image of a Red Poppy



"I’ve done lots of reading, I’ve looked at the standard definitions, I listened to the niggles and ‘problems’ that different people  - my GP, a friend, my child’s teacher etc. have mentioned. I know my child’s quirky . . . But, is my gifted child autistic?

It’s a question almost every parent of gifted kids I have ever talked to has brought up at one time or another (particularly the parents of highly to profoundly gifted children). And though it seems there should be an easy answer to this question – a quick test, a definitive way of putting a yes or no to this question, the answer is actually much, much more complicated."


"When, all those years ago, we decided that homeschooling was the right choice for our deeply asynchronous children, I kind of hoped that this would mean an escape from age-based norms and expectations. We would be free to craft the curriculum and activities that 'fit' our kids without the limitations that came with the age-grade lockstep that is the traditional way schools organise learning.

Gosh was I naive."


"Now, I could write about why dismissing the idea of giftedness is harmful. And I have previously here.
And this isn't the first or the last ignorant piece written by well-meaning but poorly informed people who think they're doing everyone a favour by dissing on gifted people. You can read my previous responses here and here and here.

Instead I want to talk about why the idea that difference 'doesn't matter' is harmful. I see it all the time - "Everyone is different", "Let you're unique self shine!". They're lovely memes. Lots of fist-pumps and "Yeah! That's awesome!"

But it's a rare person that actually means it. Instead, a more honest meme might be:
"Think Different! But Not Too Different.
or 
"Be Different! But Don't Make Me Feel Uncomfortable."

"I have a child who uses a completely different set of body language to me. Which I often get wrong. And that was and is, eye-opening. But realising that I understood things about neurodiversity and difference in my head - but not in my heart, or in the way I acted, has helped.

Just because my kids didn't look engaged, didn't make it true. My kids love to dive around while they think, jump on trampolines, wander off, wander back, or half listen while watching something completely different. But their recall is razor-sharp, and both, in their own way, show how well they understand. From their body language, it was easy for me to assume they weren't taking in anything. But I was wrong."


"The boy is so excited - it's his first time in a canoe in years. But the paddles - which he held so easily on the shore are hard to handle in the water. And the canoe is so big - he's never had to control something this large before. He splashes about in the water, going in circles. He's still strong, but he pushes the paddles so hard against the shore he tips the canoe over and it fills with water.

A few of the other parents laugh at the boy, "All those years in canoe school and he can't hold a paddle! We always knew the strong ones were lazy - they never make it to the other shore."

The boy is devastated. He's never had to handle so many new things at once before. Escaping the crowds, he leaps out of his canoe and runs home."



Homeschooling

Image of Child drawing with crayons. Crayons in a jar


"Adapting our homeschooling environment to support our kids needs has been a work in progress that has taken years of trial and error. I personally love the idea of self-directed learning and unschooling, but I have had to adapt it to fit the needs of my children.

As much as I would love to be able to say 'you can do whatever you want' and let it happen (with me strewing and facilitating, but having the kids in charge), it hasn't happened. Instead, we have taken a lot of slow, small steps in that direction, and have had to treat it as more of an end goal than a blueprint."


"It can be hard to figure out how to fit all the bits and bobs into a small apartment when the house is full of makers. We do lots of drawing, and crafting, painting, sewing, woodwork, game creation and science experiments in our homeschool. And before we know it, it can quickly descend into chaos - it's beads everywhere, with the pencils and the card games scattered and the floor can regularly disappear. . . but I have learned a few tips and tricks to keep things roughly in order."


"What do you do when you realise you need to make your learning spaces ADHD friendly?

Well, if you're me, you go on a cleaning and reorganising binge. Here are some of the things we've been  doing that seem to help."

***

And that's a wrap. A big thank you for all my readers, and I hope you all have a fabulous 2017 . . . even if everything is accidentally dated 2016 for the next few months!

Wednesday, 7 December 2016

Homeschool; Life Update


It's been a hard month. I'm not sure I'm ready to write about it, to be honest. Looking down the barrel of an unknown illness is not exactly the most fun thing in the world. There's been a lot of doctors scratching their heads, and blood tests.

But there has been bright spots - I am now officially 2e myself, with a confirmed ADHD diagnosis. And that bit has been wonderful (apart from the mild hiccough of prescribed medicines with a high chance of pushing me beyond the veil - hello unusual allergies!) There is an amazing relief to be found in describing difficulties and events from the past and having doctors nod their head and say, "That's typical".

I am now more aware of my children's difficulties, and how to help them avoid the problems I have faced. I also know of the pitfalls ahead, which I'd thought of as personal failings - nope! Instead, typical 2e is - me. And the fear I know every parent faces, "Am I raising them right?", now comes with a few more signposts. There is real hope.

Friday, 4 November 2016

Labels: from Self-Doubt to Self-Discovery

I must admit, my hands were sweating a little as I sat in the doctor's office. Being here was something I had run through my head many dozen times before. I had asked my DH to book the appointment, knowing that if it had been up to me, I would never have picked up the phone.

Picture of an old blue medicine box, and a picture of flowers


Friday, 23 September 2016

The Boy and the Canoe

Picture of empty canoe on edge of water


This is the story of a boy and a canoe.

Tuesday, 20 September 2016

Adventures in the Jungle: Finding Peers for 2e Kids

Picture of a mass of plants



Sometimes trying to find places my kids can be themselves and meet others with the same interests feels like a walk in the jungle. I set off with a map, but it's soon useless as the twists and turns under the canopy disorient me and I'm stumbling through the semi-dark, hoping for a clearing and a brief glimpse of light. For a few moments I'll think I've learned the do's and don'ts . . . until I tumble into a new part of the jungle.

But those glimpses of light - when connections are made, friendships formed and a real meeting of minds happens? Those moments are worth every laborious step.


Wednesday, 7 September 2016

Apple, Ginger and Cinnamon Tea Cake


About a year and a bit ago (I think, it feels like forever), with a specialists help, I finally managed to figure out that I have developed an allergy to egg. If you can't hear the wailing and the knashing of teeth over here, you are lucky! Egg was one of my favourite foods, was an essential part of my baking and was a very difficult ingredient to replace. Not so much for its sticking power (banana does a great job for that), but for the light and fluffy-ness it adds to sponge cakes. So I have been experimenting for months and months with increasing despair - trying to bake a half-decent vegan, gluten-free sponge is hard!

But with the help of Jaime Oliver, and his magnificent Vegan GF sponge recipe, I now have cracked the code. This is not the same recipe, though his recipe is superb (I am incapable of not-tampering with any recipe). But it gave me a few pointers in the right direction for how to craft my own recipe that is repeatable and delicious.

So this is it, my Apple, Ginger and Cinnamon Tea Cake!

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