The purpose of this mind map is to provide games, animations, and/or other educational resources to help teach these concepts to elementary students.
Learn as many different ways to do problems as you can because there is more than one way to do math. Your students WILL come up with ways to answer problems that you have never seen. CULTIVATE THAT CREATIVITY!!!!
Click on video next to this note box for an overview of using technology to teach and learn math.
a
2) Addition and Subtraction of Whole Numbers
r
Must understand place value as positional value is foundation all mathematics is built upon.
The Addition Algorithm
Using manipulatives
r
Manipulatives are any
"Why use manipulatives?" article
Developing the algorithm
r
Time to practice adding quantities to each other. This can be done a variety of ways. The video shows teaching addition to young students.
Addition for kinders and 1st graders
a
Adding with exchange
r
Carrying quantities over requires a solid understanding of place value.
Free lesson on regrouping
The Subtraction Algorithm
Without exchange
r
"Take aways"! The first step in teaching subtraction is to perform it without exchaging or "borrowing". This allows children to understand the concept without being complicated by "borrowing".
Great collection of worksheets
With exchange
r
"Borrowing" requires solid understanding of place value.
Examples for teaching
3) Multiplication and Division of Whole Numbers
The Multiplication Algorithm
Multiplying with or without Exchange
r
Manipulative's come in handy to show multiplication with and without exchange. Used similarly to addition and subtraction.
Examples of how to teach multiplication
Multiplying multidigit numbers
Math games
a
The Division Algorithm
Long Division
r
Showing work for every step makes it easy to determine exactly where the problems occur. There are different versions of this that include the traditional or compressed notation and the scaffolding form. Scaffolding makes it visually easy to see the thought process.
A child should know their multiplication tables before learning division.
Teaching long division
Short Division
r
Quick and useful after the long division concept is understood.
Subtopic
Printable division worksheets
a
1) Number Systems - Past and Present
Egyptian System
r
Based on the number 10 like our modern system. Used "hieroglyphics" or pictures for powers of 10.
For Kids
a
Roman System
r
Another base 10 system seen today on analog clocks and to denote which Super Bowl is being played!
Variety of posters
a
Babylonian System
r
Sophisticated system that introduced place value. This system is base 60 and used only 2 symbols.
Story of this system
a
Mayan System
r
Comprised of 2 systems, a base 20 "vigesimal" system that does not exist in written form, and the currently used base 20 system using simple symbols.
Mayan Math Game!
a
Indo-Arabic System
r
Most common number system in use today. Base 10 positional system with numbers from 0-9.
"OUR" Math system
a
4) Estimation and Mental Math
Mental Math
r
Using mind power to perform mathmatic calculations. No paper, no technology, just brain power!
Teaching it in 3rd grade
a
Working from Left to right
r
"Backwards" compared to traditional methods, this is faster for mental calculations
Good article
a
Estimation
Front end
Interactive website
a
Estimation
Great blog!
a
Video overview of number systems
Place Value
r
Terrific slideshow attached that explains place value to one million!
a
Technology
r
Some great articles and videos attached to this topic. While not part of the text, it is included here as virtually all American classrooms rely on and incorporate technology into teaching.
a
Minnesota Math Standards
r
We need to teach to the standards so I have provided a link to them.
