Proportional reasoning is foundational in school mathematics. Despite the importance of
proportional reasoning, little has been written about the knowledge needed for teachers to …

Proportional reasoning, the ability to use ratios in situations involving comparison of
quantities, is essential for mathematical competence, especially in the middle school years …

Proportional reasoning is the ability to use multiplicative thinking and make multiple
comparisons. It is known to be challenging for many students and at the same time, many …

This study aimed to explore preservice elementary teachers' use of a bar model as a
heuristic for conceptualising relationships between quantities in situations involving ratio …

The purpose of this study is to investigate prospective elementary school mathematics
teachers and elementary school students' ability to distinguish proportional situations from …

Three of the four articles in this issue (Andrews-Larson, Johnson, Peterson, & Keller; Wright;
Florensa, Bosch, & Gascón) deal explicitly with supporting mathematics teachers to move …

The purpose of this study was to examine four pre-service middle and high school
mathematics teachers' understanding of the directly and inversely proportional relationships …

THE EVOLUTION OF MATHEMATICAL PRACTICES IN A SEVENTH-GRADE CLASSROOM:
ANALYZING STUDENTS’ DEVELOPMENT OF PROPORTIONAL REASONIN Page 1 THE …

It is difficult for students to solve proportion problems. This case study describes how
students solve proportion problems by taking heed of mental mechanisms, namely …

We present the findings of a study on prospective elementary teachers' proportional
reasoning. After describing some of the teachers' performance in solving multiplicative …