**Content goals:** The goals this week are for you to

- understand the format and structure of the math standards
- understand Polyas steps of problem solving and be able to apply them to a problem.
- understand some of the language and ideas in CCSS practice standards 1, 2, 4
- be able to analyze a lesson and describe how it applies and fits with CCSS practice standards 1, 2 and 4

**Apology**: I'm afraid I'm still getting my head around what is most important to know about the common core math practice standards, so some of these explanations are not as smooth as they will be after I've taught it to classes for 3-4 years. If there's something that seems particularly confusing, please let me know so I can improve my teaching of this topic.

**Format and structure of the math standards:**

Videos to watch:

Introduction to the NCTM Standards

Introduction to the Common Core State StandardsLink to the NCTM Standards

Link to the Common Core State Standards for Mathematics (the practice standards are listed under "Introduction"

**Problem Solving and the Common Core Standards part 1**

Print this file to refer to during this discussion: Problem solving and the Common Core Standards

Videos to watch:

Steps and strategies for problem solving: "How to Solve It" by George Polya

Spend a few minutes working on

1.the school music problem(from the file you printed on problem solving and the common core standards). Think about how your problem solving process. Which of Polya's steps did you use? Then watch: An example of problem solving: the school music problemRead: Bassarear section 1.2, especially investigation 1.1 (all 4 strategies pg 7-10)

Assignment 14: Solving problems (write, scan, upload) (due June 12)

**Problem solving part 2:**

You will need the same handout with problems that you used for the previous part (Problem solving and the Common Core Standards)

Standard 2: Reason Abstractly and Quantitatively, Contextualizing and DecontextualizingDo first: Work on the box problems on the problem solving worksheet. Think about how you are using the numbers in the problem, and reflect on what your answers mean, and if they make sense in the context of the problem.

Video discussion of standard 2 using the box problems as examples

Standard 4: Model with Mathematics: Mathematical models and representationsVideo discussion of standard 4 (what a mathematical model is)

**Problem solving part 3: designing and analyzing problem solving experiences.**

Do first: go to the Wisweb applets page and scroll down and choose Spotting Numbers Problems. Work through all of the questions on the first problem that comes up (level 1: V numbers). For each problem, ask yourself: at what grade would this be a reasonable problem?

vids:

Progression from concrete to abstract and the Spotting Numbers Problem

What problem solving looks like in elementary classes

Some generalities about designing problem solving experiences (my observations)Analyses of problem solving and the standards in specific lessons

Watch the video of the Kindergarten class on the Classroom Episodes CD that came with the book Children's Mathematics, then read my analysis.

Read Dividing Brownies, then read my analysis

Assn 15: Choose one of these videos or written lessons to watch or read, and then write an analysis of how problem solving and the standards apply in the lesson of your choice: (due June 14)

- choice 1: In the Teaching Math K-4 Video Library, watch 14. Wheel Problem (grade 1)
- choice 2: In the Teaching Math K-4 Video Library, watch 15. Bean Sprouts (grade 2)
- choice 3: On YouTube watch Third Grade Math Solutions
- choice 3: Read Figuring Areas (grade 5)
Assn 16: Give me some feedback on this section, either by posting on the Discussion Board questions (in D2L) about this section, or by sending me an e-mail. Either way, I'd like to know what you think you will find useful or memorable from this section (what worked?) and I 'd like to know what questions you had, or what is still unclear about problem solving and/or the standards (how can I improve?).