Hob fantasy image banner image Hob icon

Processes for the practice of mathematics

Problem solving Tools to facilitate mathematical problem solving

Scoring guides and rubrics

Reasoning and proof

Teacher tools

Sample Problems for Reasoning and Proof

Representation

Concepts and big ideas

Teacher tools

Area representations

Lynne Outhred & Michael Mitchelmore. Young Children Intuitive Understanding of Rectangular Area Measurement, JRME. 2000. Vol 31, #2. 144-167.

area image

Representation of relative position of objects

image

Illustration of Internal Representation

image

Actual object, real world, or external representation

Representation of external objects with points on an other external object

image

What does this have to do with mathematical representations?

 

Communication

Concepts and big ideas

Teacher tools

Six Ways to communicate mathematically: with sample of each

Graphing notes for line graphs.

Language of mathematical representation: nouns and verbs for objects, use, and operations on objects

 

Connections and perspective

Concepts and big ideas

Concepts

  • Mathematical ideas build upon each other.
  • Mathematical ideas are connected to other mathematical ideas.
  • Mathematical ideas are connected to the world.

 

 

Page Overview

 

Common sense & knowledge

Common sense Vs Knowledge

 

 

 

Counting in Winnebago

  1. WIn
  2. NOnBA
  3. THABTHIn
  4. DUBA
  5. SATOn
  6. SHAPE
  7. PETHOnBA
  8. PETHABTHIn
  9. SHOnKA
  10. GTHEBOn

 

 

Interesting book

book cover

The Power of Logical Thinking: Easy Lessons in the Art of Reasoning... and Hard Facts About Its Absence in Our Lives, Marilyn Vos Savant (1996) ISBN 0-312-13985-3 Saint Martin's Press: New York.