Abstract
In an attempt to develop our shared understanding of the relationship between ratios and fractions, we began a phenomenological study to gather evidence from teachers and textbooks and to collect evidence from our own experiences. In this article, we present five possible models for this relationship and a summary of evidence to support each. We also present the model that we developed to represent our shared understanding and provide the results of a study for which we have used our model to help us analyze students' uses of ratios and fractions in their solutions to proportion-related problems.
| Original language | English |
|---|---|
| Pages (from-to) | 297-317 |
| Number of pages | 21 |
| Journal | Journal of Mathematical Behavior |
| Volume | 22 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2003 |
Keywords
- Fractions
- Proportion
- Ratios