Background: Fractions continue to pose a critical challenge for students and their teachers alike. Mathematics education research indicates that the challenge with fractions may stem from the limitations of part-whole concepts of fractions, which is the central focus of fractions curriculum and instruction in the USA. Students' development of more…

When solving mathematical problems, many students know the procedure to get to the answer but cannot explain why they are doing it in that way. According to Skemp (1976) these students have instrumental understanding but not relational understanding of the problem. They have accepted the rules to arriving at the answer without questioning or…

Presents an activity for students to investigate equal parts and area and the connection between area and fractions. Highlights the importance of such a lesson in which children explore rich mathematical ideas, share their thinking and their work with one another, and make connections to other mathematical ideas. (ASK)