In this work we will analyze the relation between registers of representation and the construction of the fraction concept. Ninety-six students from first year of compulsory secondary education participated in the study, and performed equal share tasks in the context of Egyptian fractions (unit fractions with different denominators). The aim was…

For many years the need to educate and support our teachers to implement science and mathematics education has been ongoing throughout the world (National Academies of Sciences, Engineering, and Medicine, 2019; Mundry et al., 2009). In more recent years, this call has extended to include teaching through integrated science, technology,…

For many years the need to educate and support our teachers to implement science and mathematics education has been ongoing throughout the world (National Academies of Sciences, Engineering, and Medicine, 2019; Mundry et al., 2009). In more recent years, this call has extended to include teaching through integrated science, technology,…

The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at…

Most high school mathematics teachers completed a mathematics history course in college, and many of them likely found it intriguing. Unfortunately, very few of them find the time to allow much, if any, mathematics history to trickle into their instruction. However, if mathematics history is taught effectively, students can see the connections…

Uses ancient Egyptian numeration system in a new setting to extend the concepts of base, place value, and correspondence. Discusses similarities and differences between the Egyptian and decimal systems. Students are asked to propose changes to make the Egyptian system easier. (LDR)