The author has been influenced throughout his time in mathematics education by the work of Caleb Gattegno. Gattegno made extensive use of the word awareness whereas much educational literature from a psychological perspective talks about memory (for example, Justicia-Galiano, MartÌn-Puga, Linares & Pelegrina, 2017). This has, amongst other…

Understanding negative numbers can be challenging for many students, as these concepts may seem less tangible than counting objects, which are commonly represented by positive numbers. In addition, the multiplication of two negative numbers resulting in a positive might appear inconsistent and puzzling to young learners who are used to seeing the…

This text critically examines traditional methodologies for teaching grammar in the context of Portuguese as a Foreign Language (PFL). It proposes an alternative, eclectic approach, which can be used in any foreign language. Drawing on evidence from research and pedagogical practices, it highlights areas for improvement in current approaches, such…

Extensive research has been done to identify the conceptual components of intercultural competence (IC), which resulted in a plethora of models and a wide array of differently defined constructs that are in use today to develop and assess IC. However, the majority of IC research comes from relatively similar contexts that are westernised, high on…