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Homeschool Australia K-12 Curriculum

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Learn from experienced homeschoolers how to write your own curriculum. It really is that easy!

Use this website with Beverley Paine's Getting Started with Home Schooling - Practical Considerations to help you develop your own educational curriculum to suit your family situation, beliefs and lifestyle. The checklists can help you identify your children's current educational skill level in each subject area, as well as find any 'gaps' in their learning, plan what they need to cover or keep track of what has been learned.

Curriculum Pages Index

As you can appreciate this website is continuously under development... It's our aim to add pages on a regular basis in all curriculum areas: check back frequently. We hope you enjoy the articles and activities and find the links and recommended resources useful. Over the next year we will be working our way through each subject area and writing fresh, new content.

 

"Thank you so much for your wonderful website! I was getting quiet frustrated with finding appropriate information on homeschooling - thanks to your website we are now on the right track... Using your checklists for reassurance helped me to have the confidence to come up with my own programme that suits our needs." Rachael

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Mathematics

Easy Ways to Learn Maths in the Homeschool

© Beverley Paine, Dec 2001

Our children initially learned to do math problems conversationally , that is, they didn't have to read them or approach them with pen and paper, until much later. After all this is how toddlers naturally learn maths. All we did was extend this proven and successful method beyond five years of age by including mathematical word problems into our everyday speech. We knew it was important to keep it casual and related to what was going on in our lives at the time - e.g. baking (doubling amounts, halving, paring on the scales and adding on amounts, etc.), climbing stairs (counting how many, up and down, how many in multiple flights), sharing out smarties, etc., talking about shapes of buildings, packaging, patterns in the sand at the beach, on leaves and trees, etc. The opportunities to explore the world of maths in conversation are endless.

Using mathematical terminology and solving maths problems conversationally quickly became a way of life. I introduced more and more art and craft projects, knowing that these were building real maths skills in a concrete way. The children became involved in the planning and building stages of our house and garden, seeing us use maths everyday. Without realising it they quietly assimilated mathematical concepts and skills.

I didn't introduce 'paper' maths until I knew the children could work things out in the their heads. If anything was introduced on paper before the children fully understood the concepts I found they looked confused, or didn't retain the skill or knowledge. I found that at around age seven or eight they could do simple addition and subtraction on paper; at nine, ten and eleven they could tackle multiplication and division. Fractions were left until last, and decimals until they had done so much spending, measuring and constructing they already knew all about them and could do the sums easily. This was around eleven to thirteen years.

Games build maths skills.

We make a lot of board games. One is called 'Shopping Spree' which imitates a day in a shopping mall, and requires the player to purchase a set shopping list from various stores with a budget of $120. Another game, called 'Gobble Guts', helped understand equivalent fractions and was very challenging, even for seasoned mathematicians! all comers are equalized in skill, from six year olds to adults. We play many different card games, especially those that score, as well as scoring dice games, and make our own up, sometimes on the spot, or change the rules just for fun. Card and dice games are great for building and reinforcing maths skills. A favourite are 'gambling' games, played with chips or matchsticks. Playing darts is absolutely fantastic for building number skills.

Think of art and craft books as maths texts.

For measurement and space concepts we did a lot of craft and art - maths just happens naturally so long as you remember to introduce and use mathematical terms to describe the processes and products. This is the trick, getting used to using mathematical terms, like sphere instead of ball, and prism instead of box. Math dictionaries can help here. Libraries have zillions of art and craft books - think of them as maths texts! My kids loved pouring over architecture books, and building cubbies...

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Pioneering members of the home education movement in Australia, Beverley and Robin Paine are passionate advocates of true educational choice for families. They began homeschooling their children in 1986 and three years later started the South Australian Home Based Learners network. Beverley wrote several books and booklets on home education through her self-publishing business, Always Learning Books. Beverley retired from actively supporting home education in July 2008 to allow her to spend time on her garden and writing projects. She maintains an extensive collection of websites as well as several Yahoo groups supporting families teaching their children at home. Beverley continues to support the Home Education Association of Australia as a committee member. Beverley's books will remain available through her websites. Gradually all of her books will be converted to E-books as she makes the transition to a 'paperless office'.
Text & Images on this site Copyright © 1999-2008 Beverley Paine. All rights reserved. Please note that the opinions and articles included in the suite of Homeschool Australia websites are not necessarily those of Beverley and Robin Paine, nor do we endorse or necessarily recommend products (other than our own) listed in contributed articles, links, pages, or advertisements.