We learned many things about Growing with Mathematics on our visit to Redding yesterday (1/9/07). We watched lesson 5.8 and 5.9. Below is a description of lesson 5.9.
During lesson 5.9 (Solving Addition Problems), there was a bit of confusion. The lesson itself was not very difficult for children to understand. However, the teacher attempts to lead the children to discover patterns in addition number sentences. This lesson is really asking the teacher to teach the children a strategy for adding numbers.
On discussion book page 38, the numbers are presented in a child-friendly way. Students are shown a page which provides the scenario that they will be buying toy dinosaurs. The possible costs of the dinosaurs are: 22, 19, 20, 18, 30, 29, 31, 21 cents. The first thing the lesson wants the students to notice is that these numbers, when put onto a number line, are in clusters around either 20 or 30. Then the lesson wants student to recognize the following pattern with numbers clustered around a number:
If 20 + 20 = 40 and I add 1 to the first 20 (21) and take away 1 from the second 20 (19), I still get 40 when I add the two numbers together. The pattern looks like this:
20 + 20 = 40
21 + 19 = 40
22 + 19 = 40
There are many other problems on the discussion book page all of which are related to this concept, though each different question asks children to think about and manipulate the provided numbers in a different way.
Before you get to the student book pages, make sure you do all of the questions on Discussion book page 38 since the way questions are asked on the student book page directly relate to the discussion book page.
Suggestion: Do the whole-group lesson one day. Since this will take a lot of time, do the student book page the following day at the beginning of class. I would not suggest sending this page home because there will probably be confusion.
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