integer arithmetic

 

Integer arithmetic uses color to introduce the concept of positive and negative numbers at a very young age.  The rules may seem confusing but they are visually easy to grasp.


  1. 1)Combining like-colored units fill containers.

  2. 2)Combining complementary colored units drain containers. 

  3. 3)The color of the most significant digit of the result (MSDR) is always the color of the bigger number.  (NOTE: Each place value will be the color of the MSDR when calculated correctly.)

  4. 4)When a container is filled or an intermediate result is a different color than the MSDR then this condition is called "not simple".  (NOTE: The awareness of this condition is all that is needed to combine integers.)

  5. 5)The only difference between addition and subtraction is that color of the subtrahend is complemented before combining them.

  6. 6)Non-complementary colors align left to right in this order: Red/Green, Orange/Blue, Yellow/Violet.  They cannot be combined.


Exciting cases occur when strings of empties or 'almost fulls' exist before a ‘not simple’ place.  The last two activities for BNS.


TO DO

- Break thinking 2.0 presentation and two subgroups.

- Develop a presentation to show subtraction.

- Develop web-based program for practicing.


RESEARCH

Simple Math©

 

Insert powerpoint presentation here