Teaching and Learning from Within brings together theory, research, and practice on core reflection, an approach that focuses on people's strengths as the springboard for personal growth and serves every human being involved in education-including students, teachers, school principals, and university faculty. This approach supports the essential role of authenticity in the development of the whole person. It has been used in contexts around the world and has shown great promise in helping to re-chart the course for education and to re-think its purpose in global and democratic societies. The book looks at the current educational context and the need for core reflection; introduces the theory and its linkages to previous studies in numerous disciplines; presents various applications in multinational research and practice-with teachers, with students and schools, and with teacher educators; and highlights ongoing work in around the world along with future plans, opportunities, and resources for professional development and research. .

The importance of fashion and design in an events context remains under-researched, despite their ubiquity and significance from a societal and economic perspective. Fashion-themed events, for example, appeal to broad audiences and may tour the globe. Staging these events might help to brand destinations, boost visitor numbers and trigger popular debates about the contributions that fashion and design can make to identity. They may also tell us something about our culture and wider society. This edited volume for the first time examines fashion and design events from a social perspective, including the meanings they bestow and their potential economic, cultural and personal impacts. It explores the reasons for their popularity and influence, and provides a critique of their growth in different markets. Events examined include fashion weeks, fashion or design themed exhibitions, historical re-enactments, extreme/alternative fashion and design events, and large-scale public events such as royal weddings and horse races. International examples and case studies are drawn from countries as diverse as the USA, UK, Germany, Bhutan, New Zealand and Australia. These are used to develop and critique various thematic concepts linked to fashion and design events, such as identity, gender, aspirations and self-image, commodification, authenticity, destination development and marketing, business strategy and protection/infringement of intellectual property. Fashion, Design and Events also provides a futurist view of these types of events and sets out a future research agenda. This book has a unique focus on events associated with fashion and design and features a swathe of disciplinary backgrounds. It will appeal to a broad academic audience, such as students of art and design, cultural studies, tourism, events studies, sociology and marketing.

This book, edited by Kim Williams and Cosimo Monteleone, follows the publication of two other books dedicated to Daniele Barbaro and published by Springer: Daniele Barbaro's Vitruvius of 1567 (Kim Williams, 2019) and Daniele Barbaro's Perspective of 1568 (Kim Williams and Cosimo Monteleone, 2021). Therefore, it can be considered another installment in a series that has deepened the scientific treatises published by Daniele Barbaro. Due to the numerous scientific interests that Barbaro matured in the years he spent at the University of Padua, we have invited experts in these topics to discuss Barbaro in relation to his training. In particular, the book opens with the essays of the two editors to frame its general theme in relation to mathematics. Cosimo Monteleone addressed the relationship between Barbaro's perspective theory with Euclid's optics, the Aristotelian process of knowledge and the ophthalmological discoveries of the University of Padova in the Renaissance. Kim Williams underlines how Barbaro's arithmetic and geometry established `the most certain sciences' and set the base of the `primary sciences'. A series of essays concerning Barbaro's training at the University of Padua complete the theoretical framework analyzed by the two editors. These studies embrace the following subjects: mathematical instruments (Filippo Camerota), astronomy and sundials (Cristiano Guarneri), mathematics, geometry and polyhedral (Vera Viana), perspective and anamorphosis (Agostino De Rosa), botany and the foundation of the botanical garden (Stefano Zaggia), Vitruvius' architecture (Ekaterina Igoshina, Ilya Anikyev, Anna Markova) and Aristotelianism (Branko Mitrović). A foreword by Xavier Salomon sets the stage for this book, outlining the innovations that Barbaro brought to scientific knowledge. Barbaro's scientific efforts are sometimes dismissed in recent studies as a compilation of known principles. The aim of this present book is to reveal the truly innovative nature of Barbaro's experiments and results and restore him to his rightful place as an original scholar of Renaissance.

First published as a special issue of Policy & Politics, this critical and practical volume challenges policy theory scholars to change the way they produce and communicate research. Leading academics propose eight ways to synthesise and translate state of the art knowledge to equip scholars to communicate their insights with each other and a wider audience. Chapters consider topics such as narratives as tools for influencing policy change, essential habits of successful policy entrepreneurs, and applying cultural theory to navigate the policy process. Providing theoretical clarity and accumulated knowledge, this text highlights the vital importance of translating policy research in practical and understandable ways. The articles on which Chapters 2, 3 and 5 are based are available Open Access under CC-BY-NC licence.

The importance of fashion and design in an events context remains under-researched, despite their ubiquity and significance from a societal and economic perspective. Fashion-themed events, for example, appeal to broad audiences and may tour the globe. Staging these events might help to brand destinations, boost visitor numbers and trigger popular debates about the contributions that fashion and design can make to identity. They may also tell us something about our culture and wider society. This edited volume for the first time examines fashion and design events from a social perspective, including the meanings they bestow and their potential economic, cultural and personal impacts. It explores the reasons for their popularity and influence, and provides a critique of their growth in different markets. Events examined include fashion weeks, fashion or design themed exhibitions, historical re-enactments, extreme/alternative fashion and design events, and large-scale public events such as royal weddings and horse races. International examples and case studies are drawn from countries as diverse as the USA, UK, Germany, Bhutan, New Zealand and Australia. These are used to develop and critique various thematic concepts linked to fashion and design events, such as identity, gender, aspirations and self-image, commodification, authenticity, destination development and marketing, business strategy and protection/infringement of intellectual property. Fashion, Design and Events also provides a futurist view of these types of events and sets out a future research agenda. This book has a unique focus on events associated with fashion and design and features a swathe of disciplinary backgrounds. It will appeal to a broad academic audience, such as students of art and design, cultural studies, tourism, events studies, sociology and marketing.

The book aims to provide an overview of the state of the art on the mechanics of arches and masonry structures. It is addressed to an international audience, arising from the international context in which the Associazione Edoardo Benvenuto has carried out its activities in recent years, under the honorary presidency of Jacques Heyman. The book belongs to the collection Between Mechanics and Architecture, born in 1995 from the collaboration of several renowned scholars, including Edoardo Benvenuto (P. Radelet-de Grave, E. Benvenuto (eds.), Entre Mecanique et Architecture / Between Mechanics and Architecture, Birkhauser, Basel 1995).

Vito Volterra (1860-1940) was one of the most famous representatives of Italian science in his day. Angelo Guerragio and Giovanni Paolini analyze Volterra's most important contributions to mathematics and their applications, as well as his outstanding organizational achievements in scientific policy. Volterra was one of the founding fathers of functional analysis and the author of fundamental contributions in the field of integral equations, elasticity theory and population dynamics (Lotka-Volterra model). He delivered keynote lectures on the occasion of the International Congresses of Mathematicians held in Paris (1900), Rome (1908), Strasbourg (1920) and Bologna (1928). He became involved in the scientific development in united Italy and was appointed senator of the kingdom in 1905. One of his numerous non-mathematical activities was founding the National Research Council (Consiglio Nazionale delle Ricerche, CNR). During the First World War he was active in military research. After the war he took a clear stand against fascism, which was the starting point for his exclusion. In 1926 he resigned as president of the world famous Accademia Nazionale dei Lincei and was later on excluded from the academy. In 1931 he was one of the few university lecturers who denied to swear an oath of allegiance to the fascistic regime. In 1938 he suffered from the impact of the racial laws. The authors draw a comprehensive picture of Vito Volterra, both as a great mathematician and an organizer of science.

Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals.

Volume II covers architecture from the Late Renaissance era, through Baroque, Ottoman, Enlightenment, Modern and contemporary styles and approaches. Key figures covered in this volume include Palladio, Michelangelo, Borromini, Sinan, Wren, Wright, Le Corbusier, Breuer, Niemeyer and Kahn. Mathematical themes which are considered include linear algebra, tiling and fractals and the geographic span of the volume s content includes works in the United States of America and Australia, in addition to those in Europe and Asia."

Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals.Volume I covers architecture from antiquity through Egyptian, Mayan, Greek, Roman, Medieval, Inkan, Gothic and early Renaissance eras and styles. The themes that are covered range from symbolism and proportion to measurement and structural stability. From Europe to Africa, Asia and South America, the chapters span different countries, cultures and practices.

Leon Battista Alberti was an outstanding polymath of the fifteenth century, alongside Piero della Francesca and before Leonardo da Vinci. While his contributions to architecture and the visual arts are well known and available in good English editions, and much of his literary and social writings are also available in English, his mathematical works are not well represented in readily available, accessible English editions have remained accessible only to specialists. The four treatises included here - Ludi matematici, De Componendis Cifris, Elementi di pittura and De lunularum quadratura - are extremely valuable in rounding out the portrait of this multitalented thinker. The treatises are presented in modern English translations, with commentary that is intended to make evident the depths of Alberti's knowledge as well as address the treatises' mathematical, historical and cultural context, their classical Greek roots, and their relationship to later works by Renaissance thinkers.

A follow-up to the volume "Discovering the Principles of Mechanics 1600-1800. Essays by David Speiser" (Birkhauser 2008), this volume contains the essays of David Speiser on relationships between science, history of science, history of art and philosophy.

The Winter 2012 (vol. 14 no. 3) issue of the Nexus Network Journal features seven original papers dedicated to the theme "Digital Fabrication". Digital fabrication is changing architecture in fundamental ways in every phase, from concept to artifact. Projects growing out of research in digital fabrication are dependent on software that is entirely surface-oriented in its underlying mathematics. Decisions made during design, prototyping, fabrication and assembly rely on codes, scripts, parameters, operating systems and software, creating the need for teams with multidisciplinary expertise and different skills, from IT to architecture, design, material engineering, and mathematics, among others The papers grew out of a Lisbon symposium hosted by the ISCTE-Instituto Universitario de Lisboa entitled "Digital Fabrication - A State of the Art". The issue is completed with four other research papers which address different mathematical instruments applied to architecture, including geometric tracing systems, proportional systems, descriptive geometry and correspondence analysis. The issue concludes with a book review.

This volulme features eight original papers dedicated to the theme "Persian Architecture and Mathematics," guest edited by Reza Sarhangi. All papers were approved through a rigorous process of blind peer review and edited by an interdisciplinary scientific editorial committee. Topics range from symmetry in ancient Persian architecture to the elaborate geometric patterns and complex three-dimensional structures of standing monuments of historical periods, from the expression of mathematical ideas to architectonic structures, and from decorative ornament to the representation of modern group theory and quasi-crystalline patterns. The articles discuss unique monuments Persia, including domed structures and two-dimensional patterns, which have received significant scholarly attention in recent years. This book is a unique contribution to studies of Persian architecture in relation to mathematics.

Vito Volterra (1860-1940) was one of the most famous representatives of Italian science in his day. Angelo Guerragio and Giovanni Paolini analyze Volterra s most important contributions to mathematics and their applications, as well as his outstanding organizational achievements in scientific policy. Volterra was one of the founding fathers of functional analysis and the author of fundamental contributions in the field of integral equations, elasticity theory and population dynamics (Lotka-Volterra model). He delivered keynote lectures on the occasion of the International Congresses of Mathematicians held in Paris (1900), Rome (1908), Strasbourg (1920) and Bologna (1928). He became involved in the scientific development in united Italy and was appointed senator of the kingdom in 1905. One of his numerous non-mathematical activities was founding the National Research Council (Consiglio Nazionale delle Ricerche, CNR).During the First World War he was active in military research. After the war he took a clear stand against fascism, which was the starting point for his exclusion. In 1926 he resigned as president of the world famous Accademia Nazionale dei Lincei and was later on excluded from the academy. In 1931 he was one of the few university lecturers who denied to swear an oath of allegiance to the fascistic regime. In 1938 he suffered from the impact of the racial laws. The authors draw a comprehensive picture of Vito Volterra, both as a great mathematician and an organizer of science.

The Winter 2012 (vol. 14 no. 1) issue of the Nexus Network Journal is dedicated to the theme "Architecture, Systems Research and Computational Sciences". This is an outgrowth of the session by the same name which took place during the eighth international, interdisciplinary conference "Nexus 2010: Relationships between Architecture and Mathematics, held in Porto, Portugal, in June 2010. Today computer science is an integral part of even strictly historical investigations, such as those concerning the construction of vaults, where the computer is used to survey the existing building, analyse the data and draw the ideal solution. What the papers in this issue make especially evident is that information technology has had an impact at a much deeper level as well: architecture itself can now be considered as a manifestation of information and as a complex system. The issue is completed with other research papers, conference reports and book reviews.

Teaching and Learning from Within brings together theory, research, and practice on core reflection, an approach that focuses on people's strengths as the springboard for personal growth and serves every human being involved in education-including students, teachers, school principals, and university faculty. This approach supports the essential role of authenticity in the development of the whole person. It has been used in contexts around the world and has shown great promise in helping to re-chart the course for education and to re-think its purpose in global and democratic societies. The book looks at the current educational context and the need for core reflection; introduces the theory and its linkages to previous studies in numerous disciplines; presents various applications in multinational research and practice-with teachers, with students and schools, and with teacher educators; and highlights ongoing work in around the world along with future plans, opportunities, and resources for professional development and research. .

The Spring 2011 (vol. 13 no. 1) issue of the Nexus Network Journal features eight papers that resulted from the 2010 Nexus conference section on Shape and Shape Grammars. Guest editor Lionel March provides an introduction for the entire group. The papers were selected to spread themes as widely and representatively as possible. George Stiny provides a keynote paper with theoretical insights, while other papers range from pedagogical applications in the architectural studio to shape language and style in classical Chinese architecture; from shape grammars and descriptions used to 'decode Alberti', to their use as an aid to the rehabilitation of housing stock in Lisbon; from the creation of a design system involving a parametric shape grammar with descriptions to generate urban block layouts within a defined spatial region, to a novel example of a kinetic shape grammar simulating human body movements. Among the authors are George Stiny, Mine Ozkar, Andrew Li, Jose Duarte, Rudi Stouffs, Mario Kruger, Filipe Coutinho, Jose Beirao Alexandra Paio, Benamy Turkienicz, Sara Eloy, Maria da Piedade Ferriera, Duarte Cabral de Mello, and others."

A follow-up to the volume "Discovering the Principles of Mechanics 1600-1800. Essays by David Speiser" (Birkhauser 2008), this volume contains the essays of David Speiser on relationships between science, history of science, history of art and philosophy.

Letter From The Editor.- Letter From The Editor.- Architecture, Mathematics and Perspective.- Giotto and Renaissance Perspective.- Perspective, a Visionary Process: The Main Generative Road for Crossing Dimensions.- Perspective in a box.- Juan Bautista Villalpando and the Nature and Science of Architectural Drawing.- Perspective versus Stereotomy: From Quattrocento Polyhedral Rings to Sixteenth-Century Spanish Torus Vaults.- The Sunlight Effect of the Kukulcan Pyramid or The History of a Line.- Some Adaptations of Relativity in the 1920s and the Birth of Abstract Architecture.- Book Reviews.- The Mirror, the Window, and the Telescope: How Renaissance Linear Perspective Changed Our Vision of the Universe.- The Geometry of an Art. The History of Perspective from Alberti to Monge.- Forma y Representacion. Un Analisis Geometrico.

We grasp and transform the world through interplays of quantification and qualification. The cross pollination of geometric and literary figures is deeply embedded in our cognitive habits, instruments of inquiry and the constructed environment. Through time, thought has reflected on the visible processes and products of material craft to explain and train the invisible workings of the mind. Recursively, material craft embodies a tradition of splitting ideas into categorical parts and compositional units for reassembly. Although the mathematical and verbal arts are often placed in contrast, human inventions manifest a weave of alphanumerics. Mythic parables, geometric proofs, memory arts, poems, algorithms, buildings and cities emerge from the intercourse of measure and explication. This special issue of the "Nexus Network Journal" considers architectonic examples of past, present and potential geometries of rhetoric.

Letter from the Editor.- Letter from the Editor.- Recalling Eero Saarinen 1910-2010.- How the Gateway Arch Got its Shape.- Saarinen's Shell Game: Tensions, Structures, and Sounds at MIT.- The Next Largest Thing: The Spatial Dimensions of Liturgy in Eliel and Eero Saarinen's Christ Church Lutheran, Minneapolis.- Morphocontinuity in the work of Eero Saarinen.- Eero Saarinen, Eduardo Catalano and the Influence of Matthew Nowicki: A Challenge to Form and Function.- Eero Saarinen's North Christian Church in Columbus, Indiana.- Other Research.- On the Modular Design of Mughal Riverfront Funerary Gardens.- Discontinuous Double-shell Domes through Islamic eras in the Middle East and Central Asia: History, Morphology, Typologies, Geometry, and Construction.- At the Other End of the Sun's Path: A New Interpretation of Machu Picchu.- The Body, the Temple and the Newtonian Man Conundrum.- Book Review.- The Symbol at Your Door: Number and Geometry in Religious Architecture of the Greek and Latin Middle Ages.- Conference Report.- Architecture and Mathematics. A seminar to celebrate Professor emeritus Staale Sinding-Larsen's 80th birthday.- Erratum.- Erratum to: The Sunlight Effect of the Kukulcan Pyramid or The History of a Line.

Steps forward in mathematics often reverberate in other scientific disciplines, and give rise to innovative conceptual developments or find surprising technological applications. This volume brings to the forefront some of the proponents of the mathematics of the twentieth century, who have put at our disposal new and powerful instruments for investigating the reality around us. The portraits present people who have impressive charisma and wide-ranging cultural interests, who are passionate about defending the importance of their own research, are sensitive to beauty, and attentive to the social and political problems of their times. What we have sought to document is mathematics' central position in the culture of our day. Space has been made not only for the great mathematicians but also for literary texts, including contributions by two apparent interlopers, Robert Musil and Raymond Queneau, for whom mathematical concepts represented a valuable tool for resolving the struggle between 'soul and precision.'

Leon Battista Alberti was an outstanding polymath of the fifteenth century, alongside Piero della Francesca and before Leonardo da Vinci. While his contributions to architecture and the visual arts are well known and available in good English editions, and much of his literary and social writings are also available in English, his mathematical works are not well represented in readily available, accessible English editions have remained accessible only to specialists. The four treatises included here Ludi matematici, De Componendis Cifris, Elementi di pittura and De lunularum quadratura are extremely valuable in rounding out the portrait of this multitalented thinker. The treatises are presented in modern English translations, with commentary that is intended to make evident the depths of Alberti s knowledge as well as address the treatises mathematical, historical and cultural context, their classical Greek roots, and their relationship to later works by Renaissance thinkers."

The title of this issue of the Nexus Network Journal, "Architecture, Mathematics and Structure," is deliberately ambiguous. At first glance, it might seem to indicate the relationship between what buildings look like and how they stand up. This is indeed one aspect of what we are concerned with here. But on a deeper level, the fundamental concept of structure is what connects architecture to mathematics. Both architecture and mathematics are highly structured formal systems expressed through a symbolic language. For architecture, the generating structure might be geometrical, musical, modular, or fractal. Once we understand the nature of the structure underlying the design, we are able to "read" the meaning inherent in the architectural forms. The papers in this issue all explore themes of structure in different ways.

In celebration of the 2009 International Year of Astronomy, this issue of the Nexus Network Journal is devoted to relationships between astronomy, mathematics and architecture. Ancient cultures looked to the heavens in order to identify timeless principles for their own creations. Knowledge gained in astronomy was transformed into culture through architecture and design. Papers in this issue look at how astronomy influenced architecture and urban design.