Developing Fractions Knowledge

Dr. Amy J. Hackenberg taught mathematics to middle and high school students for 9 years in L.A. and Chicago, prior to earning a Ph.D. in mathematics education from the University of Georgia. Amy is currently an associate professor of mathematics education at Indiana University-Bloomington. She conducts research on how middle school students construct fractions knowledge and algebraic reasoning and on how teachers can learn to develop productive student-teacher relationships. In her current project she is investigating how to differentiate instruction for diverse middle school students, studying her own teaching as well as working with practicing teachers. She is the proud co-author of the Math Recovery series book, Developing Fractions Knowledge.

Ch1: Focusing on the Mathematical Actions of Children
Ch2: From Whole Numbers to Fractions
Ch3: Assessing Stages of Units Coordination
Ch4: Teaching Students at Stage 1: Fragmenting
Ch5: Transitioning to Stage 2: Part-Whole Reasoning
Ch6: Teaching Students at Stage 2: Measuring with Unit Fractions
Ch7: Teaching Students at Stage 2: Reversible Reasoning
Ch8: Teaching Students at Stage 3: Fractions as Numbers
Ch9: Teaching Students at Stages 2 and 3: Equal Sharing of Multiple Items
Ch10: Teaching Students at Stages 2 and 3: Multiplying Fractions
Ch11: Teaching Students at Stages 2 and 3: Adding and Subtracting Fractions
Ch12: Teaching Students at Stages 2 and 3: Dividing Fractions
Ch13: From Fractions to Algebra