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.

Reformatted: January 2010

Philosophical considerations for reform in math education

	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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Lessons for Meaning in Mathematics

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