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Showing posts from May, 2007

CM Multiplication and Division Question

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I’m trying to go through Volume 1′s arithmetic section and make an outline of the steps recommended.  I can get through the addition and subtraction parts just fine (I think – see this post for my analysis), but I have a question about the multiplication and division parts from pages 256-257. For addition and subtraction, there’s a three-step process for each line of the addition table, followed by the same three-step process for the same line of the subtraction table.  First work the whole line with counters, then with word problems, then with mental numbers. For multiplication and division (page 257), there appears to be just a one-step process for each line of the multiplication table, followed by a one-step process for the same line of the division table.  It seems we’re just supposed to work out the line using counters and then go on to the next one.  But after working out both tables all the way through, with counters, then she recommends mov...

Modifying Ray's Arithmetic

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***Update:  I no longer use the Beechick guide.  Instead I use the original  teacher guide  published in the Eclectic Manual of Methods.  As a result, our early math lessons look much different from what I planned here.  And the Eclectic Manual meshes well with Charlotte Mason! *** I have for years now planned to use Ray’s Arithmetic when my dd was ready for formal math.  That time is now, and I’m finding as I look closely at both Ray’s New Primary Arithmetic (this links to a copy of the actual text) and Charlotte Mason’s math recommendations (page 253 at the link) that the two are not exactly in sync.  I prefer to follow CM’s recommendations, but I’m hoping I can modify Ray’s to fit so that I don’t have to create the whole shebang from scratch. I think we can follow this course for the first several lessons.  My lessons are numbered with Arabic numerals; Ray’s are numbered with Roman numerals. Lesson 1 - Lesson XI – wo...

More Charlotte Mason Math, Volume 1 pp. 253-264

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As I prepare to begin formal math instruction next week, I’m looking at my curriculum choice in more detail, and I’m finding that I need to look more closely at CM’s actual recommendations for the beginnings of math instruction. "The next point is to demonstrate everything demonstrable."  This part seemed straightforward enough that in my original analysis this was the only part of the entire section that I noted.  Demonstrating everything demonstrable means using counters of some sort to actually show the problem while working it until the child has internalized the concept. "A bag of beans, counters, or buttons should be used in all the early arithmetic lessons, and the child should be able to work with these freely, and even to add, subtract, multiply, and divide mentally, without the aid of buttons or beans, before he is set to ‘do sums’ on his slate." No sheets of problems until the same problems have been successfully, and repeatedly, work...

Bird Songs

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I just wanted to share a birdsong CD we purchased in preparation for starting Year 1.  We love it!  Instead of being simply a list of bird names followed by the song, this one groups the birds by similar sounds, then a narrator explains how to tell the birds in the group apart.  This is critical for us, because once the leaves appear on the trees (and we have leaves for the vast majority of the year) we see very few birds, although we can hear a great variety.  Once we go through this CD thoroughly, I think we’ll be ready for one that follows the list format, but for beginners like us, this seems perfect. Birding by Ear: Eastern and Central North America (Peterson Field Guides(R))

Beating the Heat

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Educating the Charlotte Mason way means spending lots of time outside.  I’m 5-1/2 months pregnant, so I’m anticipating a hot summer.  My last baby, two years ago, was born in early September so we did the whole pregnant-all-summer thing then too.  Having a tiny baby in the summer is harder than being pregnant all summer, imo, because although I’m uncomfortable I’m not in danger in a reasonable amount of heat, but with a baby, particularly keeping it protected from mosquitoes, you do have to be careful. We go out early, and then again late.  There is one local park that has some shade for the play equipment, so we can play there.  There’s another park that has a water feature the kids can run through, and I think the last two summers (since we’ve lived here) we spent time almost every week at that park.  There’s a local walking trail that feels like we’re in the woods, and last time around we spent many mornings walking there, slowly, th...

Charlotte Mason Math: Vol 1 Pgs 253-264

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It seems like it might be worthwhile to try to summarize what CM values in a mathematical approach for the early years, meaning ages 6-9 or so. That will help anyone who wants to evaluate a curriculum to decide what to use when the school years approach, or who wants to create their own plan of instruction.  This is just a rough draft. The chief value of arithmetic, like that of the higher mathematics, lies in the training it affords the reasoning powers, and in the habits of insight, readiness, accuracy, intellectual truthfulness it engenders. In the early years, she sees arithmetic as training the mind just as the work with language (hearing great stories, learning to read with accuracy and attention, etc.) trains the mind. So this list she gives us helps us see at least some of the qualities we should be able to find in any math program we want to use. She then talks about how important it is not to put the child in a situation where he does not know the r...

Why Wait for Year 1?

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I think most of us at one time or another feel the itch to go ahead and jump into Year 1, since after all our little ones can already handle the reading and many if not most of the other activities.  Why wait?  And we get lots of outside pressure, in many cases, to be doing formal school rather than this "whatever-it-is" that we call Year 0.  I don’t say this to imply that anyone is wrong for pressing on with Year 1 early, but just to let you know that there are good reasons for waiting.  You may decide that despite those reasons it is worth starting in, and that’s ok. Year 0 is a lot more than just read-alouds.  (In fact, read-alouds are really a very small part of it. CM didn’t recommend spending huge amounts of time reading to the children in the early years anyway.  She wanted them to be up and around.)  There’s so much more to focus on, including habit training and nature study (and lots and lots of time spent outside just ru...