# Sample Lesson: Eva

Eva was 7 years and 8 months at the time that this video was made.

**The Problem**

You had 3 candies and then Rose gave you some more. You then had 8
candies. How many candies did Rose give you?

**What To Look For In This Video**

- Eva has probably never heard the word "algebra." But right from
the beginning it is clear that she is thinking "how many candies do I
need to add
to the 3 that I started with in order to have 8 altogether" (in other
words, "3 plus what will make 8?"). She is
solving an algebra problem:

3 + □ = 8 or 3 + x = 8. There is no reason not to introduce young children to algebra problems -*with words*, not equations, and with*physical objects that can be counted*. - Eva uses a lot of easily recalled "facts" - 3 + 3 = 6, 3 + 6 = 9,
9 - 1 = 8, 6 - 1 = 5.
**But what is more important is that she thinks logically about the problem.**That kind of reasoning is an example of**doing mathematics**and**that is what children should be learning to do.**