Home Schooling


A few days ago I shared a little from our home school journey with mathematics. Today I want to share a few more specifics.

The Workshop

Three years ago a local home school association, knowing I was once qualified to teach math, asked me to do a math workshop at a conference. I sheepishly replied that we didn’t do formal math. The organizer said “Great! Do a workshop about informal math.”

Knowing that I would be facing a room of suspicious adults, I trekked off to the library to order books in support of my case. I was a little trepidatious, but was relieved to discover my research actually supported my practice. Historically, educationally, and biologically, delaying formal math instruction has shown itself to be beneficial.

I have a copy of the workshop and will try to get it posted here as a podcast for those who might be interested.

Getting More Formal

Finally my oldest turned ten and it seemed time to begin a more formal math program. I dragged out a Saxon 54 text and we began. There were no learning problems but she detested the assignments, and I loathed the corrections. Then my youngest stopped sleeping through the night, the next year was stressful, and honestly hard to remember. The math that my oldest and I both loathed just fell by the wayside, and Banana and I silently agreed that neither one of us would say anything.

The next year we sat down with samples of all the math curricula out there and she decided that Singapore looked the best to her. Next, we tried to decide what year to start her in. There seemed to be two options – start at age level and work hard to make up those areas of knowledge that she was missing, or start at knowledge level (below age level) and work hard to catch up to age level. Banana choose to start at Level 2 (her knowledge level) and work through to catch up to her age. In six months she finished Level 2 and just kept plugging ahead. This year, she finished Level 5 (an equivalent to most grade 6 levels) and we began thinking about what to do next.

My oldest doesn’t really appreciate the finer qualities of higher mathematics and so is not interested in taking anything beyond the absolute basics. With that in mind we purchased Life of Fred: Beginning Algebra. The literary poet in my daughter loves the program and she is enjoying most of the numerical part. Since she doesn’t desire to enter into any math or science fields, we will probably continue on with Fred.

The Plan for the Others, So Far

Doviegirl will finish up Singapore Level 6 and then move into Life of Fred as well. She sees her sister giggling away and can’t wait to see what all the fuss is about.

My youngest son, age 9, loved the look of the Singapore workbooks so much that he asked if he could start math with his sisters. Never one to dissuade a child eager to learn, I let him have the Level 1 workbooks. He works almost independently on the Singapore program and loves it.

My oldest son (11 years old) detests math. He works through the books grudgingly and doesn’t make any extra effort, but he understands what he is doing. He currently desires to be an engineer. If that desire continues, he and I will need to do some more searching to determine a highschool course of math for him that won’t drive him or me completely batty.

The youngest, who just turned five, is working on the old Making Math Meaningful program that I bought nine years ago. She likes it sometimes, but she really likes just playing math related games with the rest of her family. She’s not in a rush, and neither am I.

Hindsight is 20/20

I can identify only one real problem that seems to arisen from our informal approach to math.

My children are very much struggling to learn their basic math facts. Much of math, especially a program like Singapore that relies so heavily on mental math manipulation, would be so much quicker if my children knew their math facts better. That said, I’ve been trying to teach the facts since the beginning – just in an informal way. We chanted facts, played games, watched School House Rocks videos, learned songs, and even tried flashcards. Either I wasn’t consistent enough or my children really didn’t want to learn their facts. I suspect it’s a bit of both.

We tried Quarter Mile Math. The children hated it. We used Math-It. I borrowed a copy and made my own version. The program seems to teach the facts in an interesting and engaging way but it is expensive and doesn’t seem capable of helping my children build speed. We are now using Rocket Math, which is working very well. Although it is designed for a classroom, it has been very beneficial for a homeschooling mnother with children at five different levels. It does use a lot of paper and no matter how hard I try, we still succeed in spending more time on it than the creators say is necessary.

Just this week we signed up for XtraMath, which looks fantastic. I know there are other online ways of practising math facts, but I really didn’t want to introduce my children, especially when they were younger, to too many computer games. XtraMath is much more my style – simple, bare bones, and without the addictive computer game persona. I think combining this with Rocket Math will be my best option yet.

If I could go back, I might try to introduce the facts more slowly over a longer period of time making sure we went slow and were consistent or at least as consistent as I could possible try to be.

We will however continue to play lots of games that teach math skills surreptitiously – Sudoku, Blokus, Traffic, River Crossing, Dutch Blitz, Mancala, Chess, and Checkers. We will sew and build with wood and cook recipes which need doubling. (Fractions were an easy introduction in my home because my children were already familiar with them in a practical sense.)

The Conclusion

My overall advice is: Know your children! Do what you think is best for them. If math is causing more frustration and less learning, especially in the early years, than lay it aside and focus on other things. Let their brains have time to grow and discover. When the brain is ready, the learning will be easier. Since that “readiness” is different for each child, study your child.

Have fun. Numbers are wonderful. Spend time enjoying them with your children so that they won’t come to hate math.

Choose, but don’t be afraid to change course. I have two sets of classically-minded friends whose ten year olds are starting math for the first time using Saxon 54, and are loving it. My daughters adore Singapore and eagerly look forward to Life of Fred. Try to borrow before you buy and let your children have a voice in what you choose.

And most importantly, don’t stress so much. Like I said, I have a math degree and still need to add 8 and 5 on my fingers. It doesn’t necessarily matter how you do the job, just that it gets done well.

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Okay, here is the long awaited mathematics post.

I love math. More specifically, I love accounting. Really. Nothing makes me feel more uplifted than doing all the banking and budgeting and having all those numbers come out perfectly. I once called the bank to inform them of a number reversal error (it read 21 cents instead of 12).

But for all that, I’m not very good at math. I was never able to memorize my times tables, I still use my fingers to count, and I’m only capable of “mental math” when I have a paper and pencil. Even so, I managed to graduate from University with a minor in mathematics and went on to specialize in middle and upper years mathematics. I also discovered a passion for tutoring junior and high school students in algebra and geometry.

So, right from the beginning of my home school journey I knew that certain things, like drill and times table memorization, were not always necessary in order to enjoy or be good at mathematics.

When Not-so-LittlePage1 was five, I stumbled on the Charlotte Mason approach to education and found a recommendation to use Making Math Meaningful. I looked at samples and liked what I saw, so I ordered the Kindergarten book. My daughter already seemed to know everything in the book, and it seemed like a waste of time to sit down and work on what she already knew; especially when I had three younger children all in diapers. So math was laid aside.

The next year the same thing happened with the Grade 1 math book, and since there were still two in diapers, I again just let math slide. We spent more time focusing on trying to learn to read, which wasn’t going very well. (That’s a whole ‘nother post!).

Sometime that year, I read this essay by Harvey Bluedorn. (NB: This is apparently a very religious site, but I was just interested in the math essay.) He recommended leaving formal mathematics until age ten and then starting right in with Saxon 65. It was exactly what I wanted to hear, so I breathed a sigh of relief and focused on other things.

And so for a few years informal mathematics became the norm in our home. The children grew and generally seemed to acquire strong number sense and numeracy. They could count, order and sequence objects as well as numbers. Basic math skills came easily to them and I didn`t really worry. We played lots of games and just incorporated math into our daily life.

Finally though, the fateful year came when it seemed time to reintroduce a formal program to my oldest.

However, it is suddenly very late (getting on towards midnight – where does the time after the children are in bed disappear to?) and so I think I`ll need to continue our math saga tomorrow. I’ll share more specifics about what our transition looked like and what insights hindsight has left with me.

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We’ve have been using a Charlotte Mason approach to our home school since the beginning. As my children age, we are making the transition from oral to written narrations. Here is a written narration by my second daughter who was 11 years old at the time of writing. I have made no corrections to her piece so you can get an idea of what exactly she turned out on her first rough draft. The narration is based on chapters 26-29 of The Story of The World : The Modern Age

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Library Books

Just for kicks, I decided to figure out how many books we currently have out from the library.

149 books checked out on seven cards
11 waiting to be picked up
16 currently on hold
111 books on lists waiting to be ordered

And we’re not fully back to school yet!

So remember, support your local library. Our book fetish requires it.

Nota Bene: I use Library Elf to keep track of all of this – one account, seven cards, hundreds of books, and very few overdue fines.

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A report by my daughter, Doviegirl about our trip to the Christmas Cheer Board is here.

Cheer Board

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I had to make a cinquain for a copywork assignment and I was really pleased with my efforts.

Lions
Toothy Kings
Sounding loud roars
Waiting til they’re hungry
Prowlers
-LittlePage1

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Yes. I admit it. We are lovers of grammar. I remember dating MrPages and driving down the main strip of the city. Shoppers Drug Mart recently announced that they would be “Open to Midnight.” “Who is Midnight, and why is the drug store open to him?” MrPages queried. [Nota Bene for those of you who have lives: It should read: Open 'til Midnight]

So recently MrPages came across a great list of misused words and I thought I might share it as well as some of our other lovely links for any other grammarians that might stumble upon our blog:

The Inigo Montoya Guide to 27 Commonly Misused Words: “I do not think that word means what you think it means!” A wonderful listing of commonly misused words, especially in my own writing.

Words: Woe and Wonder: I love CBC. Programming for the thoughtful Canadian. This is an open forum where you can point out CBC’s mistakes and they will justify their uses – for the next time you’re up late and can’t seem to fall asleep.


Eats Shoots and Leaves and other books by Lynne Truss
: Ms Truss is a kindred spirit. Her book came with apostrophe stickers so you could fix poorly punctuated store signs. Awesome reading.

KISS Grammar by Dr. Ed Vavra
: Dr Vavra is a wonderfully insightful man who is trying to create a curriculum that helps people understand grammar. The site is so jam-packed full of stuff that it can be overwhelming. I’m using these materials with the oldest LittlePages. Someday I may find the time and energy to write how I’m doing it, but not just yet.

Guide to Grammar & Writing by the late Dr. Charles Darling: This is another educational site by a grammar lover. It has wonderfully thorough definitions and the online tests are kind of fun. [Go ahead and roll your eyeballs, but then come and try to explain Predicate Adjectives to a ten year old!] There is also a page of confused words here as well.

And to end: How about 274 lines of poetry that show just how crazy English spelling and pronunciation rules actually are. It gives me a whole new appreciation of the skill of reading when I reflect that my seven year intuitively understands a lot of the inconsistencies in this poem. Really, it’s rather an amazing feat that any of us can read and write at all.

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Hazel an “outskirter” rabbit from Sandford Warren, and a small band of rabbits leave their home warren to escape the destructive dangers foreseen by another rabbit, Fiver. On the way to start a new warren they meet many dangers: rats, stoats, other Elil and finally Efrafa.

Watership Down
by Richard Adams
(The four pictures) Illustrated by David Parkins
©1972
ISBN 978-0-141-38222-7
Type of book: Hardcover, 474 pages
Reading Level: 10 and up
Awards: Carnegie Medal, 1972

Negative Elements
The rabbits have a “god” called “Frith”. There is no bowing down and worshiping “Frith” But they do tell storys about how he created the earth. The rabbits also take the name of their “god” in vain. There is mild bad language but it is in Lapine (rabbit language) and does not need to translated. There is fighting and some of the rabbits get hurt or wounded. Also rabbit tragedies happen where rabbits get shot at and some rabbits get snatched by predators. I found though, that nothing was described in too much detail. Fiver has visions.

Positive Elements
The rabbits are always loyal even in the most dangerous situations. One of the rabbit tries to be cheerful no matter how bad the situation. Some of them risk their lives to save other rabbits even when it’s not necessary. They try to be peaceful and fight only if necessary. The rabbits always think their plans through very well and come up with some wonderful plans.

Our Take
I love this book! It is one of my very favourites. I think the good points out weigh the not-so-good. The heroes in the the story have character traits worth copying.

Rating
Buy it!

Learning Opportunities
This novel would make an interesting study on how government affects society. There are also many formal novel and unit studies available for this book. We found one online that looked interesting here. Check google for ones you can purchase.

About the Author

Richard Adams was born in 1920 in Newbury. He served in the British Army during World War II and then went on to University, where he recieved a master’s degree in Arts. After university, he took several positions in the British Civil service. It was during this time that he told stories to his two daughters about a group of rabbits living in the countryside of Newbury. The girls insisted he write the stories in novel form and Watership Down was born. After 13 rejections from publishers, the book was finally published in 1972. The novel went on to earn him the Carnegie Medal. Other books followed, including a sequel, Tales from Watership Down, written in 1996, but none have been as successful as his first, which has sold 50 million copies worldwide. He now lives, with his wife of fifty years, Elizabeth, near Newbury, where the story was set.

Reviewed by LittlePage1 (12)

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I’m popping out of my home school planning frenzy for a quick moment to share a joke.

How does a home schooler change a light bulb?

First, mom checks three books on electricity out of the library, then the kids make models of light bulbs, read a biography of Thomas Edison and do a skit based on his life.

Next, everyone studies the history of lighting methods, wrapping up with dipping their own candles.

Next, everyone takes a trip to the store where they compare types of light bulbs as well as prices and figure out how much change they’ll get if they buy two bulbs for $1.99 and pay with a five-dollar bill.

On the way home, a discussion develops over the history of money and also Abraham Lincoln, as his picture is on the five-dollar bill.

Finally, after building a homemade ladder out of branches dragged from the woods, the light bulb is installed.

And there is light.

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Sometimes I get these brilliant ideas for enhancing our home school journey. I had one of these flashes a few weeks ago while I was boiling down a chicken carcass to make stock. As I took the last of the meat off the bones I thought, “Wow. I bet we could use these and rebuild a chicken out of all these bones!” So I diligently stripped and collected all the bones and the following week I sat down with my eager children for a little bit of spontaneous biology.

Do any of you realize how hard it is to build a chicken skeleton from a diagram downloaded from the internet?

It is nearly impossible. The youngest Pages wandered off shortly after I realized the complexity of the task. The older Pages took pity on me, watching my brilliant idea crumble around me and they stayed by my side encouraging me to persevere. And persevere we did.

I eventually had to thaw a chicken carcass that was in the freezer waiting to be made into stock, so we could try and figure out what bones went where.
Chicken1


LittlePage1 hot-gluing the spine.
Chicken2


“Help! I’ve fallen and can’t get up!”

Chicken3



LittlePage2 helps our friend to his feet.

Chicken4



The final pieces fall into place.
Chicken5


Four hours, and only a few leftover bones and I think we have a chicken!
Chicken6

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Alpha-Phonics Falshcards I have used Alpha-Phonics to teach all my children to read. Some took longer and needed a more gentle approach. Some knew their phonics naturally, before I ever opened the book, but we went through it anyway, to reinforce what they had picked up along the way.

In the beginning I created a set of flashcards, based on a Readers as Leaders program that I borrowed from the library. I adapted them to suit the Alpha-Phonics program. I thought others might be interested in using them.

Alpha-Phonics Flashcards in pdf format.

They are designed to be printed double sided, on card stock, and then cut into individual cards. You may need to play around with your printer to figure out what will work for you.

A Quick Overview of How We Use Alpha-Phonics

Everyday (well, every day that we “do” school) I sit down with the child that is learning to read and we practice the flashcards. We usually have about 5 cards on the go at once. We will review cards the child has already mastered about once a week. After the flashcards, we snuggle on the couch and read a lesson from the Alpha-Phonics book. If the child reads the majority of the words correctly, with only a little prompting for me, I make a check mark at the top of the lesson. (Each lesson now has four check marks at the top – one for each child in my home that has learned read.) Then we read one of the Bob Books, or a selection from the McGuffey’s Eclectic Readers.

If a child cannot seem to get through a lesson without help, we put the book aside for a few weeks and just practice flashcards. With our oldest, she had great difficulty when we began introducing the sound of /e/ (in lesson 24). I would put Alpha-Phonics on the shelf for several weeks, pull it out and try again. This went on for over a year before something finally clicked and she passed the lesson.

LittlePage1 finished the Alpha-Phonics book after her seventh birthday. LittlePage2 was just over six. LittlePage3 will be almost nine by the time he finishes, and LittlePage4 is about halfway through at age six and half. I find that about two-thirds of the way through the program, they can beginning reading some short chapter books on their own. Some of the early books my children have read are:

Owls in the Family by Farley Mowat
Baby Island by Carol Ryrie Brink
Mother West Wind Stories by Thorton Burgess
Henry and Ribsy by Beverley Cleary (although not all of Cleary’s book pass muster in our home.)
The Mouse and the Motorcycle by Beverly Cleary (although not all of Cleary’s book pass muster in our home.)
The Voyages of Doctor Doolittle by Hugh Lofting

…to name a few.

We tried to stay away from all those early “introductory” readers at the library which are more twaddle than literature. To find quality, age-appropriate literature for your children check out:

The Sonlight catalogue offers excellent readers for each grade level. I do not use their curriculum, but I do order literature from them.
Simply Charlotte Mason offers some excellent suggestions, as well.
Ambleside Online offers a complete curriculum based on living books, most of which are available free for download from The Baldwin Project. We print many of these off and add them to our shelves. Some of them are truly lovely books that we cherish.

I would offer a word of caution. Not every book is suitable for every family. These lists contain many books that we personally choose not to read in our home, for various reasons. Please use your own discretion when choosing books for your family.

If you have any questions or comments, please feel free to ask away.

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