Modelling as a vehicle for philosophical inquiry in the mathematics curriculum

Philosophical inquiry in the teaching and learning of mathematics has received continued, albeit limited, attention over many years (e.g., Daniel, 2000; English, 1994; Lafortune, Daniel, Fallascio, & Schleider, 2000; Kennedy, 2012a). The rich contributions these communities can offer school mathematics, however, have not received the deserved recognition, especially from the mathematics education community. This is a perplexing situation given the close relationship between the two disciplines and their shared values for empowering students to solve a range of challenging problems, often unanticipated, and often requiring broadened reasoning. In this article, I first present my understanding of philosophical inquiry as it pertains to the mathematics classroom, taking into consideration the significant work that has been undertaken on socio-political contexts in mathematics education (e.g., Skovsmose & Greer, 2012). I then consider one approach to advancing philosophical inquiry in the mathematics classroom, namely, through modelling activities that require interpretation, questioning, and multiple approaches to solution. The design of these problem activities, set within life-based contexts, provides an ideal vehicle for stimulating philosophical inquiry.

A Philosophical inquiry into the origin of our ideas of the sublime and beautiful : with an introductory discourse concerning taste, and several other additions.

BLC 101, 178.

Hermes; or, A philosophical inquiry concerning universal grammar,

Mode of access: Internet.

A philosophical inquiry concerning human liberty /

Not in Crook.

An account of experiments to determine the figure of the earth : by means of the pendulum vibrating seconds in different latitudes, as well as on various other subjects of philosophical inquiry /

"Printed at the expense of the Board of Longitude."

A philosophical inquiry into the origin of our ideas of the sublime and beautiful /

Mode of access: Internet.

Memoirs of the Society for Philosophical Inquiry of Washington, D. C.

Mode of access: Internet.

The Socratic classroom : reflective thinking through collaborative inquiry

This book was written to serve two functions. First it is an exploration of what I have called Socratic pedagogy, a collaborative inquiry-based approach to teaching and learning suitable not only to formal educational settings such as the school classroom but to all educational settings. The term is intended to capture a variety of philosophical approaches to classroom practice that could broadly be described Socratic in form. The term ‘philosophy in schools’ is ambiguous and could refer to teaching university style philosophy to high school students or to the teaching of philosophy and logic or critical reasoning in senior years of high school. It is also used to describe the teaching of philosophy in schools generally. In the early and middle phases of schooling the term philosophy for children is often used. But this too is ambiguous as the name was adopted from Matthew Lipman’s Philosophy for Children curriculum that he and his colleagues at the Institute for the Advancement of Philosophy for Children developed. In Britain the term ‘philosophy with children’ is sometimes employed to mark two methods of teaching that have Socratic roots but have distinct differences, namely Philosophy for Children and Socratic Dialogue developed by Leonard Nelson. The use of the term Socratic pedagogy and its companion term Socratic classroom (to refer to the kind of classroom that employs Socratic teaching) avoids the problem of distinguishing between various approaches to philosophical inquiry in the Socratic tradition but also separates it from the ‘study of philosophy’, such as university style philosophy or other approaches which place little or no emphasis on collaborative inquiry based teaching and learning. The second function builds from the first. It is to develop an effective framework for understanding the relationship between what I call the generative, evaluative and connective aspects of communal dialogue, which I think are necessary to the Socratic notion of inquiry. In doing so it is hoped that this book offers some way to show how philosophy as inquiry can contribute to educational theory and practice, while also demonstrating how it can be an effective way to approach teaching and learning. This has meant striking a balance between speaking to philosophers and to teachers and educators together, with the view that both see the virtues of such a project. In the strictest sense this book is not philosophy of education, insofar as its chief focus is not on the analysis of concepts or formulation of definitions specific to education with the aim of formulating directives that guide educational practice. It relinquishes the role of philosopher as ‘spectator’, to one of philosopher ‘immersed in matter’ – in this case philosophical issues in education, specifically those related to philosophical inquiry, pedagogy and classroom practice. Put another way, it is a book about philosophical education.

Teacher educators embrace philosophy: reflections on a new way of looking at preparing pre-service teachers

Over the last decade in Australia, the role of the teacher has changed. Teachers are now expected to model and foster in their students a wide range of skills such as critical thinking, self-regulated learning, knowledge of self and others and lifelong learning. These changes are having a significant impact on the design of pre-service teacher education programmes, with university educators re-evaluating the teacher training curriculum and embedded pedagogical processes in order to consider how they might develop these skills in pre-service teachers. One approach is to consider the processes and practices inherent in philosophical inquiry. This paper reports on three participants’ reflections of a 12-week philosophy programme that was conducted for teacher educators at Queensland’s University of Technology (QUT) in 2008. The programme was facilitated by teachers from Buranda State School who have been teaching philosophy in their P-7 school for more than ten years. This paper provides insight into teacher educators’ reflections on the philosophy programme and the associated changes and challenges of implementing such a programme in pre-service teacher education degrees.

The freedom to tinker: Patent law and experimental use

This article considers the origins and the development of the defence of experimental use in patent law - the ’freedom to tinker'. It explores the impact of such an exemption upon a number of important industries - such as agriculture, biotechnology, and pharmaceutical drugs. This article takes a comparative approach in its analysis of patent law and experimental use. It highlights the competing norms, and lack of harmonization between a number of jurisdictions - including the United States, the European Union, and Australia. Section 2 provides a critique of the development of the common law defence of experimental use in the United States. It considers a series of precedents - including Roche Products Inc v Bolar Pharmaceuticals, Madey v Duke University, Integra Lifesciences I Ltd v Merck KgaA, and Applera v MJ Research. Section 3 explores the operation of patent law and experimental use in European jurisdictions. It looks at a number of significant precedents in the United Kingdom, the Netherlands, France, Italy, and Germany. Section 4 considers the policy debate in a number of forums over the defence of experimental use in Australia. It examines the controversy over Genetic Technologies Limited asking research organisations to obtain a licence in respect of its patents associated with non-coding DNA and genomic mapping. It also considers the inquiries of the Australian Law Reform Commission and the Advisory Council on Intellectual Property, as well as the impact of the TRIPS Agreement and the Australia-United States Free Trade Agreement. The conclusion contends that there is a need for a broad-based defence of experimental use for all the member states of the Organisation for Economic Co-operation and Development.

Certainty or Faith? Arendt's and Merleau-Ponty's Critique of Cartesian Foundationalism

Epistemological foundationalism has for centuries attempted to unify all scientific inquiry into the context of one grand science, the first philosophy. One of the most important tasks of this tradition has been to ground all knowledge on absolutely certain foundations. In this master s thesis I ask the following question: To what extent and under what conditions is it possible to achieve absolute certainty in the sense of the attempts of Cartesian foundationalism? By examining how the 20th century philosophers, Edmund Husserl (1859-1938), Hannah Arendt (1906-1975) and Maurice Merleau-Ponty (1908-1961) interpret the epistemological methodology of René Descartes, I claim that the Cartesian achievement of absolute certainty rests on the implicit presupposition of an epistemologically prior form of faith in the world and trust (pistis) in other conscious beings. I show that knowledge is possible only within the context of a common world that is inhabited by several conscious beings that share a common linguistic system. This threefold element is shown to be the bedrock condition for any kind of philosophical inquiry. The main literature sources for this thesis are The Life of the Mind by Hannah Arendt, Le Visible et l invisible by Maurice Merleau-Ponty, Meditationes de Prima Philosophiae by René Descartes and Erfahrung und Urteil by Edmund Husserl.

O status ontológico e moral do embrião humano

A presente dissertação é fruto de uma investigação filosófica, inserida na linha de pesquisa de Ética. Esse trabalho aprofunda uma discussão polêmica no contexto da Bioética, a saber: a manipulação de células embrionárias. Contudo, o autor não envereda seus esforços nas conse-quências éticas advindas das novas tecnologias produzidas pela Engenharia Genética, mas adentra na causa do problema, isto é, pretende antes saber se o embrião humano é ser vivo, ser humano e, principalmente, pessoa. Assim, o autor tem como objetivo principal investigar o status ontológico e moral do embrião humano. Nesse contexto, investiga o conceito de identidade pessoal, examinando-o - brevemente - à luz de duas teorias da Filosofia da Mente: internalista, que defende a construção do eu por bases internas; e a externalista, que advoga a construção do eu por bases externas. Elenca e analisa os atributos essenciais que concebe uma pessoa. Também pesquisa o conceito de dignidade humana e sua vinculação ao conceito de pessoa, tendo como base a filosofia moral de Immanuel Kant, através de sua obra Fundamentação da Metafísica dos Costumes. Além desta e da bibliografia utilizada sobre o tema, a fonte principal dessa discussão é a obra Ética Prática, do filósofo Peter Singer. Vale destacar que existem três posições dominantes dentro dessa temática: a) Teoria Concepcionalista, a qual argumenta que o embrião é pessoa desde a concepção e, por isso, desautoriza qualquer manipulação; b) Teoria Genético-Desenvolvimentista, a qual defende a pessoalidade do embrião a partir de diferentes etapas do seu desenvolvimento biológico e, desse modo, defende as pesquisas biomédicas; c) Teoria da Potencialidade da Pessoa, a qual advoga que o embrião ainda não tem a pessoalidade, no entanto, é um potencial ser humano e pessoa, e, por essa razão, sua integridade deve ser preservada. Ao final, o autor enumera as principais implicações éticas, psicológicas, sociais e jurídicas, uma vez determinados os estatutos ontológico e moral do embrião humano.