Desirable attributes and practices for mentees : mentor teachers' expectations

Research indicates attributes and practices for mentor teachers that can be used for effective mentoring. Universities provide guidelines for preservice teacher (mentee) engagement in schools generally from anecdotal evidence, however, what are desirable attributes and practices for mentees? This qualitative study gathers data from 25 mentor teachers through extended response questionnaire and audio-recorded focus group discussions about attributes and practices for mentees. Findings showed that desirable attributes for mentees included: enthusiasm, being personable, commitment to children, lifelong learning/love of learning, open/reflective to feedback, develop resilience, and taking responsibility for their learning, while desirable practices included: planned and preparation for teaching, reflective practices, understanding school and university policies, knowing students for differentiated learning, and building a teaching repertoire (e.g. teaching strategies, behaviour management, content knowledge, and questioning skills). Preservice teachers need to consider teachers’ suggestions on desirable attributes and practices that can help them achieve positive teaching experiences.

Influences of Allee effects in the spreading of malignant tumours

A recent study by Korolev et al. [Nat. Rev. Cancer, 14:371–379, 2014] evidences that the Allee effect—in its strong form, the requirement of a minimum density for cell growth—is important in the spreading of cancerous tumours. We present one of the first mathematical models of tumour invasion that incorporates the Allee effect. Based on analysis of the existence of travelling wave solutions to this model, we argue that it is an improvement on previous models of its kind. We show that, with the strong Allee effect, the model admits biologically relevant travelling wave solutions, with well-defined edges. Furthermore, we uncover an experimentally observed biphasic relationship between the invasion speed of the tumour and the background extracellular matrix density.