Inverse is a critical topic throughout the K–16 mathematics curriculum where students
encounter the notion of mathematical inverse across many contexts. The literature base on …

The goal of this research is to make a theoretical reflection about connections that
contributes to the development of the model for mathematical connections originally …

Group isomorphism and homomorphism are topics central to abstract algebra, yet research
on instructors' views of these concepts is limited. Based on interviews from two instructors as …

In this paper, we present a hypothetical learning trajectory (HLT) aimed at supporting
students in developing flexible ways of reasoning about matrices as linear transformations in …

The metaphors that students form and encounter have been shown to exert a powerful
influence on how they think about mathematics. In this paper, we explore the linguistic …

This paper explores how different schools of thought in mathematics education think and
speak about preparing mathematics for teaching by introducing and proposing certain …

This work investigates how students interpret various eigenequations in different contexts for
2× 2 matrices: A x→= λ x→ in mathematics and either S^ x|+⟩ x= ħ 2|+⟩ x or S^ z|+⟩= ħ …

Homomorphism is a critical variety of function in undergraduate Abstract Algebra (AA)
courses and function is one of the unifying concepts across many mathematical subject …

The aim of this research is to analyse students' sense-making regarding matrix
representation of geometric transformations in a dynamic geometry environment (DGE) …

Abstract The Group Theory Concept Assessment (GTCA) was developed to meaningfully
capture student conceptions around fundamental concepts in introductory group theory. In …