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Mathematical notes

The purpose of these pages is to document a knowledge base of information for educators to teach mathematics. Information is organized in three broad areas:

  1. Mathematical literacy knowledge base
  2. Knowledge on the development of math literacy and activities to develop it, and
  3. Knowledge to develop professionally and create learning experiences to facilitate mathematical literacy and teacher tools to assist.

Knowledge base for professional mathematical development

Math teacher's planning tool box

General planning

How to map or outline content to prepare for instruction.

Planning information

Suggestions for selecting problems and investigations

Sample parts and pieces of sequence plans

Activity plans

  • Estimating chocolate chip | Has potential, but needs a lot more information for integration of mathematical dimensions and extended activities.

Assorted tools


Sample assessments


Workshops, courses, tutorials



Problems & challenges:

Activities by dimensions:


--------------------------- girl with beach ball


There are 10 kinds of people in the world. Those who understand binary and those who don't.


Jeffery Weld asks:
Why is it whenever students don't do well on a national test the news agencies report one or a few particular items that were on the test by stating the test questions, then they believe it is necessary to provide the answers. If their listeners need the answers, why should we expect students to be able to answer it correctly?


The Jibaro Indians of the Amazon rain forest express the number five by the phrase
"wehe amukei,"
"I have finished one hand," and the number ten by
"mai wehe amukei,"
"I have finished both hands."

Frank J. Swetz


"These landmarks must not be treated as objectives to be marked off. The goal is to mathematize not pass landmarks. Enjoy the journey create systems to do mathematics with the knowledge that students have. One should recognize the fallacy of thinking there can be one activity or sequence of activities for all students."

Catherine Twomey Fosnot & Maarten Dolk in Young Mathematicians at Work: Constructing Number Sense, Addition, and Subtraction


One of the universal customs that man has successfully established on earth is the
Hindu - Arabic numerals
to record numbers.


Math is meditation for thinking about the world.


Geometry is the science of correct reasoning on incorrect figures.
George Polya


Galileo was put under house arrest and allowed visitors, but no mathematicians.


Directory links:

U.S. Students
Score in the top tier on
the PISA 2012 Math Creative Problem SolvingAssessment

Layne and Ben

... Cell phone mathematics. The story of how Brad Parkinson used creativity and mathematics to enable the use of cell phones.

--------- Free --------
--- Coding software ---


Made with code - projects, mentors, resources ...

-----Free & for sale ---
--- Graphing software ---
Read: The Graphing Calculator Story by Ron Avitzur, then below the article are links to download the software.