What pedagogical approaches can effectively include children with special educational needs in mainstream classrooms? The interactions of peers, teachers and support staff

This paper addresses issues raised by the systematic literature review process. The authors are currently examining the literature on the pedagogy of mainstream teachers and support staff that effectively include children with special educational needs, with a view to assessing the interactions of peers, teachers and support staff. This paper sets out the methods of the systematic review, how we defined our terms and narrowed our focus. It explores the tensions that we confronted as part of this process. It explores in particular how we built on a previous review, and dealt with the criteria used to include and exclude studies and to carry out keywording. The paper concludes by highlighting some limitations of the systematic review process, and their impact on the ways in which we frame the reviews we create

A more general treatment of the philosophy of physics and the existence of universes

Natural philosophy necessarily combines the process of scientific observation with an abstract (and usually symbolic) framework, which provides a logical structure to the development of a scientific theory. The metaphysical underpinning of science includes statements about the process of science itself, and the nature of both the philosophical and material objects involved in a scientific investigation. By developing a formalism for an abstract mathematical description of inherently non-mathematical, physical objects, an attempt is made to clarify the mechanisms and implications of the philosophical tool of Ansatz. Outcomes of the analysis include a possible explanation for the philosophical issue of the 'unreasonable effectiveness' of mathematics as raised by Wigner, and an investigation into formal definitions of the terms: principles, evidence, existence and universes that are consistent with the conventions used in physics. It is found that the formalism places restrictions on the mathematical properties of objects that represent the tools and terms mentioned above. This allows one to make testable predictions regarding physics itself (where the nature of the tools of investigation is now entirely abstract) just as scientific theories make predictions about the universe at hand. That is, the mathematical structure of objects defined within the new formalism has philosophical consequences (via logical arguments) that lead to profound insights into the nature of the universe, which may serve to guide the course of future investigations in science and philosophy, and precipitate inspiring new avenues of research

The spectra of finite 3-transposition groups

We calculate the spectrum of the diagram for each finite $3$-transposition group. Such graphs with a given minimal eigenvalue have occurred in the context of compact Griess subalgebras of vertex operator algebras

On primitive axial algebras of Jordan type

In this note we give an overview of our knowledge regarding primitive axial algebras of Jordan type half and connections between $3$-transposition groups and Matsuo algebras. We also show that primitive axial algebras of Jordan type $\eta$ admit a Frobenius form, for any $\eta$.Comment: 10 page