The concept of fractions is perceived as one of the most difficult areas in school mathematics to learn and teach. The most frequently mentioned factors contributing to the complexity is fractions having five interrelated constructs: part-whole, ratio, operator, quotient, and measure. In this study, we used this framework to investigate the…

In many Western countries, there has been an emphasis on ways in which to support teachers to shift practice from traditional mathematics instruction to inquiry-based classrooms. As a form of professional learning and development, lesson study offers the potential for teachers to develop their ability to respond to students' thinking through…

We encounter ratios on a daily basis. They also play an important role as a basic construct of thinking in many areas of school mathematics. For example, a fraction can be interpreted as the ratio of a part to the respective whole. Many children appear to have difficulties with fractions and although the concept of ratios is crucial for this…