Foundations of Elementary Mathematics

Una Kim (Art)
unakim1@yahoo.com
Angela Stabley (Math)
astabley@pcc.edu
Portland Community College


Materials Needed

  • Rulers
  • Compasses
  • Protractors
  • Practice circles
  • Paints
  • Brushes
  • Mixing palette
  • Scissors
  • Bristol, 2 ply, 14” X 17”
  • Glue

 

Procedures

  • Instructor will set up project by showing works of Piet Mondrian, Frank Lloyd Wright, etc. and discuss the use of geometric shapes in a composition.
  • Math students create their own linear equations. 
  • Math students color them per proportionalities of complementary pairs.
  • Art students get the design and offer another color scheme.
  • Art students create another design by cutting up math students’ designs and come up with a new design to create their own design.
  • Math students complete their design with new color scheme.

 

To create the table

Use the equation m = n + 7 (mod 12) as an example.
If    n = 10
      M = 10+ 7 = 17
      17 12 =1 remainder 5
      Use only the remainder 5

N

0

1

2

3

4

5

6

7

8

9

10

11

M

7

8

9

10

11

0

1

2

3

4

5

6

Solve for m, then connect m to n across the circle.

 

 

 

 

 

Examples of Students’ Work

 

 

Design a Poster

  1. Complete an addition table for remainder 4 addition.   

                       
           

 

0

1

2

3

0

0

1

2

3

1

1

2

3

0

2

2

3

0

1

3

3

0

1

2

 

  1. Create a pattern for each of the four values in the table. For example:

0 =                  1 =  

 



2 =                    3 = 

 

 

  1. Substitute the patterns for values in the remainder 4 addition table.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. Repeat the design of the table in a 64 cell table to make a poster.