He was the heart of the RNP in its early years and has been missed greatly since his passing in 1995. The dates, titles and amounts of the grants between 1979 and 2002 are listed below.

Teaching Fractions with Understanding: In addition to those listed above who are the currently the most active members of the RNP, several past and current graduate students have also contributed to our work. Discrete wholes - sweets, marbles, cherries, beads etc. So, sharing three chocolate bars between four children would be achieved by first halving all the bars. For example with the very young, it might be necessary to begin with a number-free approach;.

Introduction to Part Part Whole

Fractions as operators. This might be achieved through questions inviting learners to describe the same fraction in different ways or by identifying problems with equal answers. In fragmenting the child treats the parts as individual unit items.

Using the part-whole model The part-whole model offers a helpful introduction to fractions. The University of Minnesota is an equal opportunity educator and employer.

Following are the answers to the practice questions:. University of Cambridge.

Part-whole fractions

In her studies of children learning about rational numbers, Grace Lopez-Charles [see Note 1 below] has identified some different perspectives through which children see fractions. Minnesota State University-Mankato. The RNP advocates teaching fractions using multiple representations and connections among different representations. The part-whole use of fractions applies in other practical contexts involving physical quantities, such as length, volume and groups of objects.

The Basics of Fractions

Same denominator. Finally, we look at some ways of teaching fractions more effectively that arise from Grace's work.

At this point a teacher might ask the child "How much has each person got? We have been fortunate to have had many productive groups of faculty and graduate students working together at different stages of this project. Chelsey Fagerlund, Ph. Dynamic fractions.