We consider the problem of existence of entire solutions to the Allen-Cahn equation Δu + u - u(3) = 0 in , usually regarded as a prototype for the modeling of phase transition phenomena. In particular, exploiting the link between the Allen-Cahn equation and minimal surface theory in dimensions N ≥ 9, we find a solution, u, with ∂(x(N))u > 0, such that its level sets are close to a nonplanar, mi...

We study a singular limit problem of the Allen-Cahn equation with Neumann boundary conditions and general initial data of uniformly bounded energy. We prove that the time-parametrized family of limit energy measures is Brakke’s mean curvature flow with a generalized right angle condition on the boundary.

Talebob (Speech Bob) is a newly developed interactive CALL-tool for training Danish speech with special regard to the pronunciation of highly idiomatic phrases. Talebob is currently being tested in primary schools in Nuuk, Hafnarfjörður and Tórshavn (where Danish is taught as a L2). The purpose of the current paper is twofold. We first introduce Talebob in its publicly available version, commen...

This paper reports on the research work carried out by the authors in the framework of the IAMEL project, supported by the Italian Ministry of Education. The project was mainly aimed at enhancing the teaching/learning of mathematics by providing teachers with specific e-learning platforms endowed with a number of dedicated tools supporting the setting-up and the carrying-out of specific in-fiel...

This article describes the responsive evaluation component of an educational leadership capacity-building initiative developed at one Australian university and implemented by three others. The project aimed to develop, implement and disseminate an innovative framework to address the national strategic goal to increase the pool of qualified educational leaders. The framework reflected principles...

This paper reports on a complex educational development project aimed at improving the evaluation of student learning in teaching activities supported by new technologies. The acknowledged shortcomings in this area were addressed by a staff development programme which assisted participants to develop and carry out an evaluation plan with the help of a mentor. Twenty evaluation studies were unde...

The American Association for the Advancement of Science: The Better Adaptation of Educational and Investigational Effort to the Agricultural Situation: DR. R.A. PEARSON .......................................... 217 Fundamental Concepts in Physics in the Light of Recent Discoveries: DR. PAUL R. HEYL ........................ 221 Thomas Leonard Watson: PROFESSOR ALBERT W. GILES .....................

Technologic and pharmacologic advances have improved school attendance for students with chronic neurological conditions. Supporting the special needs of these students presents challenges for parents, school nurses, school staff, and health care providers. Many school nurses have less confidence in managing some neurological conditions, thus identifying a need for continuing education. Educati...

This study aims to examine and highlight the extent of mathematics teacher's awareness of their student's geometrical misconceptions and mistakes in the intermediate education stage. The sample consisted of (400) first grade students and (40) teachers. The results showed that intermediate education stage students suffered from various geometrical misconceptions such as parallelogram, trapezoid,...