Math 647 Unit: Early Number and Operations concepts

Introduction: Standards and About this Class

Computer skills needed: Help files
Watch videos on this web site/the DVD
Viewing my videos
Watch videos on
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Answer questions in Microsoft Word
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Upload a Word file to a D2L dropbox
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Content goals: The goals this week are for you to

Format and structure of the math standards:

Videos to watch:

Introduction to the NCTM Standards
Introduction to the Common Core State Standards
Content Standards*
Process Standards*

*These two videos were made back before the Wisconsin standards were replaced by the Common Core standards, so you'll see some references to the previous standards in these.

Readings: Summary of things to know about Math Standards

Assignment 1:Worksheet about the Standards. (type your answers in, and upload your assignment to the appropriate drop box in D2L) May25

Resources: Links to Standards documents

Process standards: Note that I am using the NCTM standards as my reference when talking about process standards. This is because all the process standards are covered in somewhat more detail in the NCTM standards than in the Wisconsin standards, so that makes the NCTM standards a good place to learn about what the goals and ideas are of the process standards.

Videos to watch:

First watch The Wheel Problem which is # 14 in the Teaching Math Video Library K-4 at You will be asked to sign up for a free membership to be able to watch videos on this site. 

Readings: Then read my commentary on the process standards and the Wheel Problem (I tried to record videos, really I did, but it all sadly failed...)

Assignment 2: May 25

Either watch the video lesson: # 16: This Small House in the Teaching Math Video Library K-4 at


Read the lesson Exploring Halves from the Math Solutions issue 29 newsletter

Then write an analysis of the lesson telling what process standards are used in the lesson. (Upload your assignment to the appropriate drop box in D2L).

Things to know about this course:

Content and schedule:

We will be looking at number and operations topics from Kindergarten through grade 5 or 6--We will start with a quick look at counting, and then really dig into finding out how children think about and come to understand addition, subtraction, multiplication and division. We'll also take those basic ideas and look at how they show up in some algebraic thinking contexts (Unit 1). Then we'll build up some of the basic ideas in our base 10 number system, and look at ways to add subtract, multiply and divide with multi-digit numbers (and ways to approach these when teaching) (Unit 2). In Unit 3, we'll look at those same ideas of numbers and operations with fractions. Finally, we'll finish with looking at decimals, percents and ratios (Unit 4).

There is a lot of work, and a lot of assignments in this course. I'm providing tentative due dates for each of these assignments and units. These are not mandatory due dates, they are recommended due dates. You will learn more, and be less stressed if you spread this course out rather than trying to do it all very quickly. If you are devoted to the idea of doing it quickly, make sure that you allow yourself a minimum of 1 week per unit.

Tests and grades


Technology tools

I'm going to embed these into the to-do's for the first several weeks as we go along, but here's the overview:

More tech notes, and some useful links can be found here