Math 647 Unit 1: Early Number and Operations Concepts

Section 3: Strategies for computing basic facts and mental math, and teaching strategies for basic facts.


Technology tool
Help files
Equation Editor (use for assn 12)
These are the same videos as you will find in the link to assn 12. 
Using Equation Editor part 1; part 2
If you find that you do not have Equation Editor in your copy of Word (it did come free with Word, but it may not have been installed) an easy fix is to download and install the 30 day free trial version of MathType.  After  30 days, it turns into Math Type lite which is very similar to Equation Editor..


Goal: The goals this week are for you to

Basic facts: what are they, why should we teach them, how can we teach them.

I want you to start out by reading a couple of papers that have been very influential for the way I think about math facts. Right now, I'm just going to have you read a couple of things, and then answer a few questions about them.

Readings:

Read a lot of the FAQ Basic Facts: Questions, Answers & Comments that Ed Rathmell has written. We will be looking at specific addition and subtraction fact strategies in the next few lessons, so if you are looking for something to skip, you can skip some of that. Make sure you read the sections

Videos

Make 10 sample lesson ideas

Assignments:

Assn 10: Write responses to these questions (upload to the drop box) June 8

Mental math and basic fact strategies for addition and subtraction

Videos to watch

Addition Counting Strategies

Addition Derived Facts Strategies

Subtraction Counting Strategies

Subtraction Derived Facts Strategies

And using Addition to figure out Subtraction

Readings

(optional) The sections in Basic Facts: Questions, Answers & Comments about strategies are is a good source to review the strategies in the videos.

Assignments

Assn 11: Write some word problems for teaching addition and subtraction facts strategies (dropbox) June 8

Assn 12: Write a speed sheet for addition facts practice (dropbox) June 8

Assn 13: Watch the lesson Dino Math which is # 12 in the Teaching Math Video Library K-4 at http://learner.org/resources/series32.html, and then write me an answer to these two questions (dropbox) June 8

Array model for multiplication, thecommutative and distributive laws, and why they make sense..

Videos to watch:

Array Model Multiplication: commutative and distributive laws
How to explain the commutative property
How to explain the distributive property

To read:

 Let me know if you need me to write something for here. 

Assignments

 Assn 14: Explaining and understanding with the commutative and distributive laws (dropbox) June 10

Mental math and basic fact strategies for multiplication and division.

Videos to watch:

 Part 1: Skip counting, counting up or down from a known fact, commutative law, patterns for 0, 1, 5, 9, 10

If the pattern for multiplying by 9 is new to you, you should watch this longer explanation of the 9's trick

Part 2: Doubling, and counting up or down revisited

Part 3: Distribitive law: breaking apart into known facts

On the Children's Strategies CD, on the Multiplication and Division tab, watch the Counting and Derived facts clips

Division Facts

Readings:

From the Math Trailblazers: Teachers site, read the TIMS Tutor on Math Facts pages 258-260 (Multiplication and Division facts Strategies)

Read the article Learning to Think in the Content->Readings section of D2L

Assignments:

Assn 15: Multiplication Fact Strategies (dropbox or scan and dropbox) June 10

Assn 16: Watching Division Strategies (dropbox) June 10

Assn 17: Fact Families  (dropbox) June 10

[you should work on the exam review, and then arrange to take the exam on or before June 26.]