# Mastering the basics – understanding the operations

Hello, all…
Welcome to my virtual brain.
scary, huh? :o)

ok. as promised, I am sending you links to all the sites I mentioned tonight in our Mastering the Basics math workshop.

From the addition and subtraction section, here are:
Bouncing Number line
Circle 21
Near Doubles Machine
Find a Friend (and others… navigate to the grade level you like from K-6, then go to the eGames section on the signpost. The game we played was from grade 6: “Find a friend”. The same 3 games exist at all the grade levels, and each grade has 5 different levels of difficulty. Play around!)

From the multiplication section, here is:
Multiplication with arrays
Number Line Multiplication and Division
The calculator/hundreds chart combination applet for counting by patterns and for common multiples.

Hope this helps.

So – just to recap (since it came clearest to me on my way home in the car…), when you are working towards MASTERY of the basics with students, no matter what their grade level, the things to remember are to:

1. Teach the strategies, like
(a) The “Tim Horton’s strategy” aka “Double-Double”! ;o) (for multiplying by 4’s or 8’s)
(b) Double and add one more (for multiplying by 3’s)
(c) The “Jerry MacGuire strategy”, or “You complete me” with ten frames for addition
(d) The “take from one and give to the other” strategy (aka compensation) for addition

2. Allow students to represent their thinking in a variety of ways
(a) Numbers & symbols
(b) Oral language
(c) Pictures – which includes number lines and other icons
(d) Real world situations
(e) Models and manipulatives – which includes stuff like a hundreds chart, ten-frames, dot arrays…

3. Give them time to practice through hands-on games (like doubles war with ten frames) or on-line games like “Circle 21” or “The Near Doubles Machine”.
Making a Math tool kit with materials like dice, a hundreds chart, ten-frame cards, counters, blank number lines, dot arrays (laminated or in see-through sleeves) L-shaped array-maker tools all in a ziplock baggie can be a great way to practice different strategies for the facts in a 5-10 minute block of time…

Thanks for coming out to work with me this evening.
As always, it was a pleasure to see you.

Carole