Math 5392-006 Fall 2006

Constructing Whole Number and Operation

 Numeration readings (to be read for week 5):

• Egyption numeration

• Mayan, Egyptian, Babylonian, and Greek Numeration Systems

 Whole number arithmetic algorithms reading (to be read for week 9):

• "Do We Really Want to Keep the Traditional Algorithms for Whole Numbers?", John A. Van de Walle

 Multiplication and division algorithms reading (first half to be read for week 11):

• "Children's invention of multidigit multiplication and division algorithms", Ambrose, Baek, and Carpenter

 Addition and subtraction algorithms reading :

• "A longitudinal study of invention and understanding in children's multidigit addition and subtraction", Carpenter, Frank, Jacobs, Fennema, and Empson