Lessons for Meaning in Mathematics


The following is a set of lessons that have been used in various classroom. These lessons conform to the NCTM Standards in that they are founded in reasoning, problem-solving, and connections. lessons logo

Reformatted: January 2010

 

Philosophical considerations for reform in math education

 

  1. Suggested Readings & Links
  2. Story of the author

Suggested Grade

Setting Tried in:

Place Value - Carry & Borrow Activities

1 - 3

1- 2

Blocks for Division & Algebra

1 - 3

1 - 2

Fractions by Common Experiences

1 - 5

1 - 2

Binary Numbers

1 - 5

1 - 2

Binary Decision Trees & Logical Efficiency

1 - 6

1 - 2

Binary (Digital) Displays

2 - 7

1 - 2

Drawing Stars & Polygons

1 - 6

1 - 2

Dice Games with two Winners

3 - 8

10

Vectors and Maps

3 - 8

5 & 9
Multiplication Patterns
3 - 6
3 & 6
Division by Zero
6 - 8
***

Visualizing Factors on a Base 12 Chart

4 - 6

6
Ethics and Math
4 - 12
***

Integers Motivated by Measurement

5 - 8

7

Integers Motivated by Patterns

5 - 8

7

Integers Motivated by Knowns

5 - 9

7

Negative Times Negative

5 - 8

***

Temperature demonstrates negatives and variables

5 - 8

7

Metric and Scientific Notation

5 - 8

7

Logarithms discovered through technology

5 - 8

7
Risk and Logarithmic Scales
8 -12
8

Numeracy

8 - 12

8 & 14

Structured Questioning

6 - 10

11
Statistics of Income
9 - 12
11

Values & social conscience

9 - 12

***
Public Transportation
9 - 12
***

 

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Notes:

  • All lesson were suggested or designed by K. F. Kuhn
  • The 1st-2nd multiage setting was the Chester county classroom of V. Barone
  • The 5th and 8th grade settings were at a charter school
  • The numeracy lesson was done at Temple University - the author of the books had no part in promoting this set of lessons.
  • *** means not tried yet due to time constraints


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