Passing Notes

Notes from a Parent/Teacher to Parents and Teachers

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The Mathroom, I mean bathroom.

“That’s right”, I tell my students, “math is EVERYWHERE”! I look at them and wait for the challenges to begin.  They ask me to “prove” that math really is everywhere.  Which it is.  Case in point:  You can do Measurement, Estimation and Multiplication right in the comfort of your own bathroom.  (Cheers of “yay!” are heard in the background.  ”School is unnecessary, we’ll just hang out in the bathroom!”, yell the kiddies.)  Though it doesn’t preclude exploring math at school, the truth is Math really is everywhere.  Here are a few ways to make the most of your cramped, humid environment:

1)  Younger kids do math all on their own while taking baths.  Supply them with containers of various sizes (usually in the form of stacking cups), and they’re on their way towards working on capacity concepts.  Already do this?  Give yourself a pat on the back.

Without intervening, just watch how those wee hands attempt to pour water from a smaller container into a bigger one.  You can add cups of various lengths and sizes to make it more challenging, or ask them how much water from one container  might fit into another, then have them test out their theories.  (Yes, they really are theorizing and using reasoning skills here.)

2) They can also order containers according to capacity.  Here you’ll need some empty bottles (clean please, no glass either), from the kitchen, that they can place on the tub.  Extra points for parents who tape or hide the capacity measurements that are pre-written on them.  You can introduce vocabulary like, litres, millilitres, and capacity incidently, so they don’t catch onto your sneaky educational ways with them.

 

3)  Little ones can measure the length, height and width of the tub they’re leaving soap scum in, by using non-standard units.  A non-standard unit can be any object that you have on hand that can be used to do linear measurements.  A hand or foot can be used (hello, get it, a “foot”?).  A bottle of shampoo or a water toy works just as well.  Using non-standard units is a pre-cursor to using standard units like centimetres or metres, so this is really only good for the little ones.

4)  For the older child, say of grade 2 or 3 age, try to have them do multiplication using a tiled wall that is rectangular.  They can count the top line (ignoring half tiles), and may notice that the same number will repeat itself going down.  So it might be 6 groups of eleven, as in the below picture, or 6×11.  They can count it as six, plus six, plus six, etc., which is repeated addition (which btw is all the multiplication really is).

4) Children can take it a step further by doing one-digit by two-digit multilication using arrays (well, if you are lucky enough to have a large bathroom, or tiny tiles), as seen below for 6 x 18.  Here they break down the tiles into easier-to-use numbers.  Kids should be familiar with arrays using Base 10 materials by this age, so hopefully seeing multiplication this way is not new to them.

 5) You can drive them crazy with this one: can they estimate how many bristles are in a toothbrush?  If so,  they can extrapolate how many would be in say, three toothbrushes.  This one may not sound like fun so only try it with the really detail-oriented of your bunch.

This is just the tip of the ice-berg.  When I’m done with you, you’ll see, math really is everywhere.

Daniela

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Data Management: not just “graphing” anymore. Simple ideas for the wee ones.

I often hear parents comment on the “newer” math terminology that is used in school.  True.  In school, back in the day, we used to call it “graphing”, period.  But there’s so much more to “graphing” than graphing itself.   The language used in the Ontario Progress Report Card and by the Ontario Ministry of Education is Data Management which is much more accurate of what graphing really entails.  The last graph you saw required:

  • the need to get information (for advertising for example)
  • the collection of information (a survey perhaps?)
  • the display of that information in such a way that people would most easily be able to interpret it (tables, circle, plot, bar graphs)

So  in other words Data Management, is about how we organize information to make it easy to understand.

As our world becomes increasingly more visual, we need to develop the types of skills that allow us to interpret what we see and understand what it’s really trying to tell us, how to create  and organize information and how to find bias in that information.  A pre-curser to all of that is the ability to sort things.  Pretty simple huh?  It doesn’t require much, just what you have on hand.

Here are some ideas to try with the younger set (Kindergarten -gr.1) at home. (I’ll have some ideas for the older folks in a later post.)  In the early primary years, one of the many expectations laid out in the Ontario Curriculum states that children are to: demonstrate the ability to organize objects into categories and  that students should be able to sort and classify objects using one attribute (size, colour, shape).

Without further ado:

Have your child notice the categorization and organization of produce in the market…

Let your kids help you sort groceries either while shopping or at home.  It may sound messy but it’s very concrete for them.  They can sort cans into sizes and do the same for boxes for example.

Or they can sort by type of food.  You can extend the activity by having them re-sort in different ways.  In order for you to actually get something beyond math learning, have them sort first using something like colour or size, and then sort through “type” so that that can actually help you to house the food you bought.  Two in one, who can ask for more?

Children can sort jelly beans easily by colour, dry legumes/ beans by shape or colour…

Or help sort materials into recycling containers…

 

After laundry is done, they can sort their socks by colour, size, owner, patterns, (and help you match up the missing ones!)…

 

They can sort Lego pieces by colour and size, while cleaning up their playful mess…

Or sort cutlery (if they can be trusted…)

 

You get the idea…

Not so messy, a little bit of fun, and sorting practice to boot.  Math is everywhere!

Daniela

 

 

Picture credits:

http://s1.hubimg.com/u/5985616_f520.jpg

http://blog.nimdiet.com/

http://a.espncdn.com/photo/2011/0920/espnhs_brain_power_jelly_beans_576x324.jpg

 

 

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Math (and more) – at the grocery store

Ok, so we all know how much fun it is to have a child in tow while doing groceries.  My aim here is not to make it saner (because then I’d be selling you a lie), rather I’d like to offer some ideas to make it an educational event for the kidlets.

 A visual grocery list
  • For the tiny tots I suggest you circle a flyer with a few things that you actually need to get from the store and have them cut them out, if they’re somewhat handy with scissors.  Next they paste it on a T-chart (2-column sheet of paper) and they glue the images onto the left side.  Grab a clipboard and a marker and you’re on your way…to the store! So, here the kidlets try to find the actual products and check them off as they go.  Of course you can assign them to their “desk” (sitting inside the cart).  If more time needs to be whittled away, they can copy down the actual prices or copy the name of the item onto their clipboards.

Financial literacy

  • My friend Naomi (teacher/ consultant extra-ordinaire) was taught by her mom at an early age that budgeting mattered.  She was given a specific amount of money each month, and she had to plan a budget for everything from deodorant to clothes.  Naomi is a VERY financially-savvy person.  I am not.  I also never learned to budget as a youngster so please learn from my mistakes.  If the thought of figuring out the pre-budget, – (how much said child will actually need), – is mind-numbing to you, then start with the small stuff, such as only hygiene products or school supplies.  Trust me, they’ll want to spend less once they see how quickly money flies because there’s an added benefit to saving on items.  You’ll thank me in 15 years.
  • Children that are roughly 8 years of age and up can help you do price checks.  A website like www.mrsjanuary.com might help kids to cross-reference coupons, flyer inserts and other offers, though this is not for the weak at heart it’s a good way for them to learn about financial responsibility.

Home Economics (is it even called that anymore?)

  • Older kids can plan one family meal (per week, per month, or occasionally), and they have to plan from start to finish their yummy product.  Give them some limits on how much they can spend (it’s your money after all).  They’ll need to sleuth around for a meal that fits the budget and create it.  That means you get a night off of cooking!  Speaking of food, here are some resources to help them be aware of balanced meals…

Food Groups:  The pyramid is no longer a pyramid

 

  • …and hasn’t been for a long time.  It’s a rainbow now.  My daughter used to quote “5, 4, 2, 1″.  Those were her numbers according to Canada’s Food Guide so that she always knew how much of what she needed to eat.  Children are never too little to start.  Here’s a great online activity that all ages can do to determine their “numbers” by “building” their own food guide .
  • Help children be aware of the various nutritional needs and food values so they can plan a meal that has lots of color (reds, oranges, yellows, greens, browns) and that respects a food fraction plate  - for lack of a better term:  1/2 of the plate should consist of veggies, 1/4 grains or alternatives, and the other 1/4 meats or alternatives. Here are some Canadian resources to get you started:  The “Rainbow”-shaped Food Guide is downloadable below and has translations into many languages.  There are other key resources and helpful ideas.  You can also download PDFs and docs of a food servings tracker according to the child’s age.

 

 

Happy shopping!  Till next time,

Daniela