Short instructional transcript in which a teacher (Clare) demonstrates using arrays of counters to teach multiplication and division. She shows that an array of 3 rows of 6 counters illustrates 3×6=18 and the same array read by columns shows 6×3=18; she also demonstrates using arrays to solve division (e.g., 12÷3=4) and emphasizes keeping rows equal and highlighting the relationship between the two operations.
Chapters
Hello, I'm Clare and today we're going to look at how arrays can help us teach multiplication and division. Let's have a look at a couple of arrays that I've put on the board. Here we are. Just look at the first one. It's showing me I've got one, two, three rows of six counters. Three sixes are 18. If I look at the same array, I can then draw the lines going down to look at the columns that I've got. I now can see I've got six columns. In each column there are three counters. It's showing me that six threes are also 18. It's important that you don't just use an array for multiplication, but look at it again to see that can help you with division. I can look at this array and see I've got 18 counters. They've been divided into three rows and in each row I've got six counters. Looking at the bottom one, Looking at the columns, I. I can see I started with 18 counters. I have divided them by six columns and I've got three in each column. It's very important that you don't just use an array to show multiplication, but that you're always showing the relationship between the two things. Later on, children can be asked to use an array to solve a problem. I've got the question, what is 12 divided by 3? And I've got some red counters. Okay, it's important that when they're making an array that they make sure that the rows are all the same length. So I've got 12 counters here and I'm going to divide them. So I'm going to need to make three rows. So here we go, making sure that my rows are exactly the same. There we are. I've got my 12 counters arranged. I have divided them by three. One, two, three. I can see that 12 divided by three is going to give me four. So there we are. That's how you can use an array to show multiplication or division.
