Understanding our place value system

Understanding our place value system

1. Base Ten

   • Our present system is described as a Hindu-Arabic numeration system
     • Unique features of the based-ten system
       • System uses the numerals 1-10
         • Base ten is a positional system

2. Multiple conceptions of place value

   • 1. Unitary-multidigit
     • 2. Decade and ones
       • 3. Sequence tens and ones
         • 4. Units of tens
           • 5. Integrated sequence

3. Children´s Unstructured strategies

   • The traditional method emphasizes learning to line up digits and computing from right to left often using boxes as a visual aid.
     • If children use their natural ways to think, they develop confidence and accuracy, while computing with big numbers.

4. Manipulatives

   • General kinds of manipulatives
     • 1. Proportional(nonlinked)
       • 2. Proportional (linked)
         • 3. Nonproportional

5. Estimateing and rounding: when approximate is good enough

   • One helpful way to illustrate rounding is by the use of separate number lines