This book discusses a significant area of mathematics education research in the last two decades and presents the types of semiotic theories that are employed in mathematics education. Following on the summary of significant issues presented in the Topical Survey, Semiotics in Mathematics Education, this book not only introduces readers to semiotics as the science of signs, but it also elaborates on issues that were highlighted in the Topical Survey. In addition to an introduction and a closing chapter, it presents 17 chapters based on presentations from Topic Study Group 54 at the ICME-13 (13th International Congress on Mathematical Education). The chapters are divided into four major sections, each of which has a distinct focus. After a brief introduction, each section starts with a chapter or chapters of a theoretical nature, followed by others that highlight the significance and usefulness of the relevant theory in empirical research.

This book takes up the agenda of the late (but unknown) L. S. Vygotsky, who had turned to the philosopher Spinoza to develop a holistic approach to psychology, an approach that no longer dichotomized the body and mind, intellect and affect, or the individual and the social. In this approach, there is only one substance, which manifests itself in different ways in the thinking body, including as biology and culture. The manifestation as culture is premised on the existence of the social. In much of current educational psychology, there are unresolved contradictions that have their origin in the opposition between body and mind, individual and collective, and structure and process-including the different nature of intellect and affect or the difference between knowledge and its application. Many of the same contradictions are repeated in constructivist approaches, which do not overcome dichotomies but rather acerbate them by individualizing and intellectualizing our knowledgeable participation in recognizably exhibiting and producing the everyday cultural world. Interestingly enough, L. S. Vygotsky, who is often used as a referent for making arguments about inter- and intrasubjective "mental" "constructions," developed, towards the end of his life, a Spinozist approach according to which there is only one substance. This one substance manifests itself in two radically different ways: body (material, biology) and mind (society, culture). But there are not two substances that are combined into a unit; there is only one substance. Once such an approach is adopted, the classical question of cognitive scientists about how symbols are grounded in the world comes to be recognized as an artefact of the theory. Drawing on empirical materials from different learning settings-including parent-child, school, and workplace settings-this book explores the opportunities and implications that this non-dualist approach has for educational research and practice.

Researchers agree that schools construct a "particular" image of science, in which some characteristics are featured while others end up in oblivion. The result is that although most children are likely to be familiar with images of heroic scientists such as Einstein and Darwin, they rarely learn about the messy, day-to-day practice of science in which scientists are ordinary humans. Surprisingly, the process by which this imagination of science in education occurs has rarely been theorized. This is all the more remarkable since great thinkers tend to agree that the formation of images imagination is at the root of how human beings modify their material world. Hence this process in school science is fundamental to the way in which scientists, being the successful agents in/of science education, actually create their own scientific enterprise once they take up their professional life.

One of the first to examine the topic, this book takes a theoretical approach to understanding the process of imagining science in education. The authors utilize a number of interpretive studies in both science and science education to describe and contrast two opposing forces in the imagination of science in education: epicization and novelization. Currently, they argue, the imagination of science in education is dominated by epicization, which provides an absolute past of scientific heroes and peak discoveries. This opens a distance between students and today s scientific enterprises, and contrasts sharply with the wider aim of science education to bring the actual world of science closer to students.

To better understand how to reach this aim, the authors offer a detailed look at novelization, which is a continuous renewal of narratives that derives from dialogical interaction. The book brings together two hitherto separate fields of research in science education: psychologically informed research on students images of science and semiotically informed research on images of science in textbooks. Drawing on a series of studies in which children participate in the imagination of science in and out of the classroom, the authors show how the process of novelization actually occurs in the practice of education and outline the various images of science this process ultimately yields."

Children's learning and understanding of science during their pre-school years has been a neglected topic in the education literature-something this volume aims to redress. Paradigmatic notions of science education, with their focus on biologically governed development and age-specific accession to scientific concepts, have perpetuated this state of affairs. This book offers a very different perspective, however. It has its roots in the work of cultural-historical activity theorists, who, since Vygotsky, have assumed that any higher cognitive function existed in and as a social relation first. Accepting this precept removes any lower limit we may deem appropriate on children's cognitive engagement with science-related concepts.

The authors describe and analyze the ways in which children aged from one to five grapple with scientific concepts, and also suggest ways in which pre-service and in-service teachers can be prepared to teach in ways that support children's development in cultural and historical contexts. In doing so, the book affirms the value of cultural-historical activity theory as an appropriate framework for analyzing preschool children's participation in science learning experiences, and shows that that the theory provides an appropriate framework for understanding learning, as well as for planning and conducting training for pre-school teachers.

Since its beginnings, science education has been under the influence of psychological theories of knowing and learning, while in more recent years, social constructivist and sociological frameworks have also begun to emerge. With little work being done on showing how the perspectives of these separate approaches might be integrated, this work aims to plug the gap. The book helps lay the groundwork for reuniting sociological and psychological perspectives on the knowing, learning, and teaching of science. Featuring a range of integrative efforts beginning with simple conversation, the chapters here include not only articles but also commentaries that engage with other papers, as well as a useful running narrative that, from the introduction to the epilogue, contextualizes the book and its sections. Specific attention is given to cultural-historical activity theory, which already offers an integration of psychological and cultural-historical (sociological) perspectives on collectively motivated human activities. A number of chapters, as well as the contextualizing narrative, explicitly use this theory as a framework for rethinking science education to achieve the reunification that is the goal of this work.

All the contributors to this volume have produced texts that contribute to the effort of overcoming the extant divide between sociological and psychological approaches to science education research and practice. From very different positions-gender, culture, race-they provide valuable insights to reuniting approaches in both theory and method in the field. As an ensemble, the contributions constitute a rich menu of ideas from which new forms of science education can emerge.

Toward the end of his life, the Russian psychologist L.S. Vygotsky turned away from his earlier work that he has become famous for only to sow the seeds for a new theory. In this theory, affect was to play a central role, there was to be a primacy of social relations, and anything mental (mind, thought, self, other, knowledge) was an event rather than a thing. This is essentially a transactional perspective. In this book, the author articulates a transactional psychology of education drawing on the works of G.H. Mead, J. Dewey, G. Bateson, F. Mikhailov, and E. Il'enkov. All theoretical positions are developed out of videotaped exchanges, thereby giving concrete character to every psychological concept articulated.

School science is dominated by textbook-oriented approaches to teaching and learning. Some surveys reveal that students have to read, depending on academic level, between ten and thirty-six pages per week from their textbook. One therefore has to ask, To what degree do textbooks introduce students to the literary practices of their domain? Few studies have addressed the quality of science curriculum materials, particularly textbooks, from a critical perspective. In this light, we are concerned in this book with better understanding the reading and interpretation practices related to visual materials-here referred to as inscriptions-that accompany texts. Our overarching questions included: What practices are required for reading inscriptions?' and Do textbooks allow students to develop levels of graphicacy required to critically read scientific texts?'

A Volume in International Perspectives on Mathematics Education - Cognition, Equity & SocietySeries Editor Bharath Sriraman, The University of Montana and Lyn English, Queensland University of TechnologyOver the past two decades, the theoretical interests of mathematics educators have changed substantially-as any brief look at the titles and abstracts ofarticles shows. Largely through the work of Paul Cobb and his various collaborators, mathematics educators came to be attuned to the intricaterelationship between individual and the social configuration of which she or he is part. That is, this body of work, running alongside more traditionalconstructivist and psychological approaches, showed that what happens at the collective level in a classroom both constrains and affords opportunitiesfor what individuals do (their practices). Increasingly, researchers focused on the mediational role of sociomathematical norms and how these emergedfrom the enacted lessons.A second major shift in mathematical theorizing occurred during the past decade: there is an increasing focus on the embodied and bodilymanifestation of mathematical knowing (e.g., Lakoff & N ez, 2000). Mathematics educators now working from this perspective have come to theirposition from quite different bodies of literatures: for some, linguistic concerns and mathematics as material praxis lay at the origin for their concerns;others came to their position through the literature on the situated nature of cognition; and yet another line of thinking emerged from the work onembodiment that Humberto Maturana and Francisco Varela advanced. Whatever the historical origins of their thinking, mathematics educators takingan embodiment perspective presuppose that it is of little use to think of mathematical knowing in terms of transcendental concepts somehow recordedin the brain, but rather, that we need to conceptual knowing as mediated by the human body, which, because of its senses, is at the origin of sense.One of the question seldom asked is how the two perspectives, one that focuses on the bodily, embodied nature of mathematical cognition and theother that focuses on its social nature, can be thought together. This edited volume situates itself at the intersection of theoretical and focal concerns ofboth of these lines of work. In all chapters, the current culture both at the classroom and at the societal level comes to be expressed and providesopportunities for expressing oneself in particular ways; and these expressions always are bodily expressions of body-minds. As a collective, thechapters focus on mathematical knowledge as an aspect or attribute of mathematical performance; that is, mathematical knowing is in the doing ratherthan attributable to some mental substrate structured in particular ways as conceived by conceptual change theorists or traditional cognitivepsychologists. The collection as a whole shows readers important aspects of mathematical cognition that are produced and observable at the interfacebetween the body (both human and those of inherently material] inscriptions) and culture. Drawing on cultural-historical activity theory, the editordevelops an integrative perspective that serves as a background to a narrative that runs through and pulls together the book into an integrated whole.

According to John Dewey, Seymour Papert, Donald Schon, and Allan Collins, school activities, to be authentic, need to share key features with those worlds about which they teach. This book documents learning and teaching in open-inquiry learning environments, designed with the precepts of these educational thinkers in mind. The book is thus a first-hand report of knowing and learning by individuals and groups in complex open-inquiry learning environments in science. As such, it contributes to the emerging literature in this field. Secondly, it exemplifies research methods for studying such complex learning environments. The reader is thus encouraged not only to take the research findings as such, but to reflect on the process of arriving at these findings. Finally, the book is also an example of knowledge constructed by a teacher-researcher, and thus a model for teacher-researcher activity.

This monograph uses the concept and category of "event" in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena-mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics-in new ways that are based on the previously developed ontology of events. The final part has more encompassing phenomena as its content, most prominently the thinking body of mathematics, the experience in and of mathematics, and the relationship between experience and mind. The volume is well-suited for anyone with a broad interest in educational theory and/or social development, or with a broad background in psychology.

This book argues that the 'constructivist metaphor' has become a self-appointed overriding concept that suppresses other modes of thinking about knowing and learning science. Yet there are questions about knowledge that constructivism cannot properly answer, such as how a cognitive structure can intentionally develop a formation that is more complex than itself; how a learner can aim at a learning objective that is, by definition, itself unknown; how we learn through pain, suffering, love or passion; and the role emotion and crises play in knowing and learning.

In support of the hypothesis that passibility underlies cognition, readers are provided with a collation of empirical studies and phenomenological analyses of knowing and learning science-in schools, scientific laboratories and everyday life-all of which defy a constructivist explanation. The author argues that 'passibility' constitutes an essential factor in the development of consciousness, with a range of essential experiences that cannot be brought into the linguistic realm. His exploration is guided by concepts such as 'otherness', passion, passivity and undecidability, and concludes by resituating the construction metaphor to accord it its proper place in a more comprehensive theory of learning.

The study described in this book arose in the contextof a three-year collective effort to bring about change in science teaching at Mountain Elementary School. 1 This opportunity emerged after I contacted the school with the idea to help teachers implement student-centered science teaching. At the same time, the teachers collectively had come to realize that their science teaching was not as exciting to children as it could be. They had recognized their own teaching as textbook-based with little use of the "hands-on" approaches prescribed by the provincial curriculum. At this point, the teachers and I decided that a joint project would serve our mutual goals: they wanted assistance in changing from textbook-based approaches to student-centered activities; I wanted to collect data on learning in student-centered knowledge producing classroom communities. I brought to this school my new understandings about classroom communi ties from several earlier studies conducted in a private high school (e. g., Roth & Bowen, 1995; Roth & Roychoudhury, 1992). I wanted to help teachers create science learning environments in which children took charge of their learning, where children learned from more competent others by participating with them in ongoing activities, and teachers were responsible for setting up and maintaining a classroom community rather than for dissem inating information. After I had completed the data collection for the present study, I watched a documentary about an elementary school in the small French village of Moussac (Envoye Special, TV5, September 14, 1994)."

This study examines the origins of geometry in and out of the intuitively given everyday lifeworlds of children in a second-grade mathematics class. These lifeworlds, though pre-geometric, are not without model objects that denote and come to anchor geometric idealities that they will understand at later points in their lives. Roth's analyses explain how geometry, an objective science, arises anew from the pre-scientific but nevertheless methodic actions of children in a structured world always already shot through with significations. He presents a way of understanding knowing and learning in mathematics that differs from other current approaches, using case studies to demonstrate contradictions and incongruences of other theories - Immanuel Kant, Jean Piaget, and more recent forms of (radical, social) constructivism, embodiment theories, and enactivism - and to show how material phenomenology fused with phenomenological sociology provides answers to the problems that these other paradigms do not answer.

Psychology, quantitative or qualitative, tends to conceive of the human person using metaphysical concepts and to separate the practical, affective, and intellectual aspects of participation in everyday life. Lev S. Vygotsky, however, was working towards a "concrete human psychology," a goal that he expresses in a small, unfinished text of the same name. This book articulates the foundation of and develops such a concrete human psychology according to which all higher psychological functions are relations between persons before being functions, and according to which personality is the ensemble of societal relations with others that a person has lived and experienced. Correlated with concern for the concreteness of human life and the psychology that theorizes it is the idea that to live means to change. However, none of the categories we currently have in psychology are categories of change as such. In this work of concrete human psychology, categories are developed on the basis of Vygotsky's work that are suitable to theorize an ever-changing life, including the language humans use to take control over their conditions and to talk about the conditions in which they live.

Psychology, quantitative or qualitative, tends to conceive of the human person using metaphysical concepts and to separate the practical, affective, and intellectual aspects of participation in everyday life. Lev S. Vygotsky, however, was working towards a "concrete human psychology," a goal that he expresses in a small, unfinished text of the same name. This book articulates the foundation of and develops such a concrete human psychology according to which all higher psychological functions are relations between persons before being functions, and according to which personality is the ensemble of societal relations with others that a person has lived and experienced. Correlated with concern for the concreteness of human life and the psychology that theorizes it is the idea that to live means to change. However, none of the categories we currently have in psychology are categories of change as such. In this work of concrete human psychology, categories are developed on the basis of Vygotsky's work that are suitable to theorize an ever-changing life, including the language humans use to take control over their conditions and to talk about the conditions in which they live.

Curriculum*-in-the-Making theorizes about the living curriculum as an event that is in the making, for the enacted curriculum is something finished, which, only as an object, can be compared to another object. A living curriculum, understood as an event*-in-the-making, leads to a very different appreciation of just what is happening in a classroom. Events* are understood to be in the making so we cannot know the precise nature of what we witness until after completion has been achieved. This book uses lesson fragments to develop a post-constructivist perspective on curriculum that is grounded in a phenomenological approach concerned with understanding the never-ending movement of life. This leads to radically different forms of understanding of curriculum issues such as the subject, ethics, the role of passibility and passivity, the nature of the response, and the learning paradox.

Curriculum*-in-the-Making theorizes about the living curriculum as an event that is in the making, for the enacted curriculum is something finished, which, only as an object, can be compared to another object. A living curriculum, understood as an event*-in-the-making, leads to a very different appreciation of just what is happening in a classroom. Events* are understood to be in the making so we cannot know the precise nature of what we witness until after completion has been achieved. This book uses lesson fragments to develop a post-constructivist perspective on curriculum that is grounded in a phenomenological approach concerned with understanding the never-ending movement of life. This leads to radically different forms of understanding of curriculum issues such as the subject, ethics, the role of passibility and passivity, the nature of the response, and the learning paradox.

In what way do educators understand the language they use to make sense of the educational environment?

How does language enable educators and how can they consciously make the most of its potential?

Using the right language and setting the correct tone in the school classroom has repercussions for all involved; whether it affects the linguistic development of a student or the effective delivery of a lesson, language plays an important factor in any educational context.

As such, this innovative book focuses right at the heart of learning, arguing that current theories of speech in classrooms do not, and cannot, capture the essentially passive aspects of talking. Until now, these verbal and physical expressions of communication have been left untheorised, leaving the potential of an entire secondary area of language untapped.

Exploring his argument along three clear, but interrelated lines of investigation, the author focuses on our understanding, on language itself and finally on communication. Thus he argues:

• that language is unintentional and our understanding of it is limited
• as soon as we speak, language appears beyond us in a highly singular, situated context
• that communication cannot be reduced to the simple production of words.

Building on the work of linguistic philosophers such as Martin Heidegger, Donald Davidson, Paul Ric ur and Jacques Derrida, these salient points are further elaborated to fully develop the relationship between thinking and talk in educational settings.

This invaluable book makes recommendations for the praxis of teaching and will appeal to students, researchers, and practising science and mathematics teachers, as well as those with interests in language and literacy.

"This book frames the major challenge facing educational researchers as one of going beyond the mindless qualitative-quantitative divide and addressing the overarching/fundamental challenge of enriching and enlarging educational inquiry. It is a signature contribution to the field." - Clifton F. Conrad, University of Wisconsin-Madison, USA Tackling one of the most critical issues in education research today - how research methods are related to value and meaningfulness - this frontline volume achieves two purposes. First, it presents an integrated approach to educational inquiry that works toward a continuum instead of a dichotomy of generalizability, and looks at how this continuum might be related to types of research questions asked and how these questions should determine modes of inquiry. Second, it discusses and demonstrates the contributions of different data types and modes of research to generalizability of research findings, and to limitations of research findings that utilize a single approach. International leaders in the field take the discussion of generalizing in education research to a level where claims are supported using multiple types of evidence. The volume pushes the field in a different direction, where the focus is on creating meaningful research findings that are not polarized by qualitative versus quantitative methodologies. The integrative approach allows readers to better understand possibilities and shortcomings of different types of research.

Teaching and Learning Science consists of sixty-six chapters written by more than ninety leading educators and scientists. The contributions are informed by cutting-edge theory and research and address numerous issues that are central to K 12 education. This resource will be particularly valuable for parents and teachers as schools around the country prepare students to meet the challenges presented when science is added to the No Child Left Behind Act in 2007. These insightful contributions touch on many of the most controversial topics facing science educators and students today, including evolution, testing, homeschooling, ecology, and the achievement gaps faced by girls, children of color, and ESL learners. Accessible and full of insight, the set is written for teachers, parents, and students, and offers a wealth of resources germane to K-12 settings. The book is arranged according to themes that are central to science education: language and scientific literacy, home and school relationships, equity, new roles for teachers and students, connecting science to other areas of the curriculum, resources for teachers and learners, and science in the news. The authors address controversial topics such as evolution, and present alternative ways to think about teaching, learning, the outcomes of science education, and issues associated with high stakes testing. In addition, relationships between science and literacy are explored in terms of art and science, making sense of visuals in textbooks, reading, writing, children's literature, and uses of comics to represent science. Chapters also address how to teach contemporary science, including the origin of the chemical elements, the big bang, hurricanes, tornadoes, volcanoes, and tsunamis.

Establishing Scientific Classroom Discourse Communities: Multiple Voices of Teaching and Learning Research is designed to encourage discussion of issues surrounding the reform of classroom science discourse among teachers, teacher educators, and researchers. The contributors--some of the top educational researchers, linguists, and science educators in the world--represent a variety of perspectives pertaining to teaching, assessment, research, learning, and reform. As a whole the book explores the variety, complexity, and interconnectivity of issues associated with changing classroom learning communities and transforming science classroom discourse to be more representative of the discourse of scientific communities. The intent is to expand debate among educators regarding what constitutes exemplary scientific speaking, thinking, and acting. This book is unparalleled in discussing current reform issues from sociolinguistic and sociocultural perspectives. The need for a revised perspective on enduring science teaching and learning issues is established and a theoretical framework and methodology for interpreting the critique of classroom and science discourses is presented. To model and scaffold this ongoing debate, each chapter is followed by a "metalogue" in which the chapter authors and volume editors critique the issues traversed in the chapter by opening up the neatly argued issues. These "metalogues" challenge, extend, and deepen the arguments made. Central questions addressed include: *Why is a sociolinguistic interpretation essential in examining science education reform? *What are key similarities and differences between classroom and scientific communities? *How can the utility of common knowledge and existing classroom discourse be balanced toward alternative outcomes? *What curricular issues are associated with transforming classroom talk? *What other perspectives can assist in creating multiple access to science through redefining classroom discourse? Whether this volume improves readers' science teaching, assists their research, or helps them to better prepare tomorrow's science teachers, the goal is to engage them in considering the challenges faced by educators as they navigate the seas of reform and strive to improve science education for all.

Rethinking Scientific Literacy presents a new perspective on science learning as a tool for improving communities. By focusing on case studies inside and outside of the classroom, the authors illuminate the relevance of science in students' everyday lives, offering a new vision of scientific literacy that is inextricably linked with social responsibility and community development. The goal if not tote memorization of facts and theories, but a broader competency in scientific thinking and the ability to generate positive change.

This book proposes a new way to conceive of scientific literacy, as it has emerged from two research agendas that the authors have been pursuing independently but which have converged conceptually. This book presents a new and entirely different perspective than previous books on scientific literacy in that it valorizes the capacities of human beings to participate in worldly affairs and to change their life contexts. The book is important because it portrays a positive perspective, one that embodies the capacity of all human beings (independently of knowing that scientists think that protons and neutrons constitute the atomic nucleus) to use science both as a contested field and as tool in order to change the world. For example, the youth in Chapter 4 who transform an empty inner-city lot from an area for dealers and pushers to a community garden, or the seventh-grade students in Chapter 7, who generate knowledge that is subsequently being used by environmentalists that work in and transform their community. Therefore it is the authors hope that students welcome the opportunity to study and participate in science education, not in the hope of becoming scientists, but for participa

This book deals with uncertainty and graphing in scientific discovery work from a social practice perspective. It is based on a 5-year ethnographic study in an advanced experimental biology laboratory. The book shows how, in discovery work where scientists do not initially know what to make of graphs, there is a great deal of uncertainty and scientists struggle in trying to make sense of what to make of graphs. Contrary to the belief that scientists have no problem "interpreting" graphs, the chapters in this book make clear that uncertainty about their research object is tied to uncertainty of the graphs. It may take scientists several years of struggle in their workplace before they find out just what their graphs are evidence of. Graphs turn out to stand to the entire research in a part/whole relation, where scientists not only need to be highly familiar with the context from which their data are extracted but also with the entire process by means of which the natural world comes to be transformed and represented in the graph. This has considerable implications for science, technology, engineering, and mathematics education at the secondary and tertiary level, as well as in vocational training. This book discusses and elaborates these implications.

Contributing to the social justice agenda of redefining what science is and what it means in the everyday lives of people, this book

• introduces science educators to various dimensions of viewing science and scientific literacy from the standpoint of the learner, engaged with real everyday concerns within or outside school;
• develops a new form of scholarship based on the dialogic nature of science as process and product; and
• achieves these two objectives in a readable but scholarly way.

Opposing the tendency to teach and do research as if science, science education, and scientific literacy could be imposed from the outside, the authors want science education to be for people rather than strictly about how knowledge gets into their heads. Taking up the challenges of this orientation, science educators can begin to make inroads into the currently widespread irrelevance of science in the everyday lives of people. Utmost attention has been given to making this book readable by the people from whose lives the topics of the chapters emerge, all the while retaining academic integrity and high-level scholarship.

Wolff Michael Roth has been awarded the Distinguished Contributions Award by The National Association for Research in Science Teaching, for his contributions to research in this field.

He has also been elected to be the Fellow of the American Association for Advancement of Science (AAAS) and Fellow of the American Educational Research Association.