Evolving perspectives on business and books: practitioner implications

The research subject of this Portfolio of Essays is my ‘apparatus of thought’ in the context of my professional development. I have examined theory and the application of theory to a professional life. I analyse how my use of theory has changed and enabled my professional development. Each of the three Essays takes a different perspective and applies the theories of adult mental development, business and firm growth as an analytical framework. Using Kegan’s theories of Adult Mental Development as an ‘apparatus of thought’, Essay One is my reflection on my professional development in the light of my training, education, and development. I describe how changes in my ‘apparatus of thought’, my meaning-making system, have enabled me to develop my professional practice. Exposure to the theories of Adult Mental Development have also enabled me to understand how my development has precipitated and necessitated my career changes. In Essay Two, moving from military aviation to book publishing was a major career change for me, enabled by a change in my meaning-making system. In the context of my professional development, I sought to change my practice so that I could make a more meaningful contribution to the firm. To achieve this, I directed my reading towards a deeper understanding of the nature of the firm and the impact of industrial change on the firm. Using the context of my professional environment in Essay Three, I show how my use of theory has developed. I describe how I sought to change working practices in the firm and discuss the impact this initiative had on my professional self. I use the ‘data of my experience’ to examine my theory of the business from a Penrosian perspective. The Penrosian perspective coupled with my exposure to theories of Adult Mental Development and the effects of a transformational education process enabled me to transition to a leadership role with an international online publisher.

Sticky central limit theorems on open books

Given a probability distribution on an open book (a metric space obtained by gluing a disjoint union of copies of a half-space along their boundary hyperplanes), we define a precise concept of when the Fréchet mean (barycenter) is sticky. This nonclassical phenomenon is quantified by a law of large numbers (LLN) stating that the empirical mean eventually almost surely lies on the (codimension 1 and hence measure 0) spine that is the glued hyperplane, and a central limit theorem (CLT) stating that the limiting distribution is Gaussian and supported on the spine.We also state versions of the LLN and CLT for the cases where the mean is nonsticky (i.e., not lying on the spine) and partly sticky (i.e., is, on the spine but not sticky). © Institute of Mathematical Statistics, 2013.

Education and the 'universalist' idiom of empire: Irish National School Books in Ireland and Ontario

This paper compares the founding of the elementary school systems of Ireland and Ontario in the nineteenth century. The systems shared a common set of textbooks that had originated in Ireland. Using examples from a number of these books, which were part of a series that had been specially prepared for the Irish national school system, founded in 1831, and information from archive sources on policy and administration in both countries, the paper argues that there was a common, ‘universalist’, imperialist ideology being promulgated in both systems. The article focuses on these ‘universalist’ principles rather than undertaking a detailed analysis of the textbooks.