

When Getting the Right Answer Is Not Always Enough:
Kathleen Cramer and Terry Wyberg 



References Bezuk, Nadine, and Kathleen Cramer. “Teaching About Fractions: What, When, and How?” In New Directions in Elementary Mathematics, 1989 Yearbook of the National Council of Teachers of Mathematics, edited by Paul Trafton, pp. 156167. Reston, Va.: National Council of Teachers of Mathematics, 1989. Cramer, Kathleen, and Apryl Henry. “Using Manipulative Models to Build Number Sense for Addition of Fractions.” In Making Sense of Fractions, Ratios, and Proportions, 2002 Yearbook of the National Council of Teachers of Mathematics, edited by Bonnie Litwiller and George Bright, pp. 4148. Reston, Va.: National Council of Teachers of Mathematics, 2002. Cramer, Kathleen, Thomas Post, and Robert delMas. “Initial Fraction Learning by Fourth and FifthGrade Students: A Comparison of the Effects of Using Commercial Curricula With the Effects of Using the Rational Number Project Curriculum.” Journal for the Research in Mathematics Education 33 (March 2002): 111144. National Council of Teachers of Mathematics (NCTM). Principles and Standards for School Mathematics. Reston, Va.: NCTM, 2000. 

Authors Kathleen Cramer  Associate Professor in Mathematics Education at the University of Minnesota Terry Wyberg  Senior Lecturer in Mathematics Education at the University of Minnesota 