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| identity meaning math: Connecting Mathematical Ideas Jo Boaler, Cathy Humphreys, 2005 In math, like any subject, real learning takes place when students can connect what they already know to new ideas. In Connecting Mathematical Ideas, Jo Boaler and Cathy Humphreys offer a comprehensive way to improve your ability to help adolescents build connections between different mathematical ideas and representations and between domains like algebra and geometry. Connecting Mathematical Ideas contains two-CDs worth of video case studies from Humphreys' own middle-school classroom that show her encouraging students to bridge complex mathematical concepts with their prior knowledge. Replete with math talk and coverage of topics like representation, reasonableness, and proof, the CDs also include complete transcripts and study questions that stimulate professional learning. Meanwhile, the accompanying book guides you through the CDs with in-depth commentary from Boaler and Humphreys that breaks down and analyzes the lesson footage from both a theoretical and a practical standpoint. In addition to addressing the key content areas of middle school mathematics, Boaler and Humphreys pose and help you address a broad range of frequently asked pedagogical questions, such as: How can I organize productive class discussions? How do I ask questions that stimulate discussion and thought among my students? What's the most effective way to encourage reticent class members to speak up? What role should student errors play in my teaching? Go inside real classrooms to solve your toughest teaching questions. Use the case studies and the wealth of professional support within Connecting Mathematical Ideas and find new ways to help your students connect with math. |
| identity meaning math: Attitudes, Beliefs, Motivation and Identity in Mathematics Education Markku S. Hannula, Pietro Di Martino, Marilena Pantziara, Qiaoping Zhang, Francesca Morselli, Einat Heyd-Metzuyanim, Sonja Lutovac, Raimo Kaasila, James A. Middleton, Amanda Jansen, Gerald A Goldin, 2016-06-14 This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to motivation. There are two chapters that focus on beliefs and a chapter on attitude which cross-cuts through all these categories. The second dimension covers a rapidly fluctuating state to a more stable trait. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions. The third dimension regards the three main levels of theorizing: physiological (embodied), psychological (individual) and social. All chapters reflect that mathematics-related affect has mainly been studied using psychological theories. |
| identity meaning math: Affect and Mathematics Education Markku S. Hannula, Gilah C. Leder, Francesca Morselli, Maike Vollstedt, Qiaoping Zhang, 2019-06-03 This open access book, inspired by the ICME 13 topic study group “Affect, beliefs and identity in mathematics education”, presents the latest trends in research in the area. Following an introduction and a survey chapter providing a concise overview of the state-of-art in the field of mathematics-related affect, the book is divided into three main sections: motivation and values, engagement, and identity in mathematics education. Each section comprises several independent chapters based on original research, as well as a reflective commentary by an expert in the area. Collectively, the chapters present a rich methodological spectrum, from narrative analysis to structural equation modelling. In the final chapter, the editors look ahead to future directions in the area of mathematics-education-related affect. It is a timely resource for all those interested in the interaction between affect and mathematics education. |
| identity meaning math: Mathematics Education as a Research Domain: A Search for Identity Anna Sierpinska, Jeremy Kilpatrick, 2013-03-14 No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts. |
| identity meaning math: Prealgebra Lynn Marecek, MaryAnne Anthony-Smith, 2015-09-25 Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Prealgebra follows a nontraditional approach in its presentation of content. The beginning, in particular, is presented as a sequence of small steps so that students gain confidence in their ability to succeed in the course. The order of topics was carefully planned to emphasize the logical progression throughout the course and to facilitate a thorough understanding of each concept. As new ideas are presented, they are explicitly related to previous topics.--BC Campus website. |
| identity meaning math: The Impact of Identity in K-8 Mathematics Learning and Teaching Julia Aguirre, Danny Bernard Martin, 2013 Each teacher and student brings many identities to the classroom. What is their impact on the student’s learning and the teacher’s teaching of mathematics? This book invites K–8 teachers to reflect on their own and their students’ multiple identities. Rich possibilities for learning result when teachers draw on these identities to offer high-quality, equity-based teaching to all students. Reflecting on identity and re-envisioning learning and teaching through this lens especially benefits students who have been marginalized by race, class, ethnicity, or gender. The authors encourage teachers to reframe instruction by using five equity-based mathematics teaching practices: Going deep with mathematics; leveraging multiple mathematical competencies; affirming mathematics learners’ identities; challenging spaces of marginality; and drawing on multiple resources of knowledge. Special features of the book: Classroom vignettes, lessons, and assessments showing equity-based practices Tools for teachers’ self-reflection and professional development, including a mathematics learning autobiography and teacher identity activity at nctm.org/more4u Suggestions for partnering with parents and community organisations End-of-chapter discussion questions |
| identity meaning math: Principia Mathematica Alfred North Whitehead, Bertrand Russell, 1927 The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century. |
| identity meaning math: Mathematical Relationships in Education Laura Black, Heather Mendick, Yvette Solomon, 2011-01-13 This book brings together scholars working in the field of mathematics education to examine the ways in which learners form particular relationships with mathematics in the context of formal schooling. While demand for the mathematically literate citizen increases, many learners continue to reject mathematics and experience it as excluding and exclusive, even when they succeed at it. In exploring this phenomenon, this volume focuses on learners' developing sense of self and their understanding of the part played by mathematics in it. It recognizes the part played by emotional responses, the functioning of classroom communities of practice, and by discourses of mathematics education in this process. It thus blends perspectives from psychoanalysis, socio-cultural theory and discursive approaches in a focus on the classic issues of selection and assessment, pedagogy, curriculum, choice, and teacher development. |
| identity meaning math: Multiplication Word Problems , 2006 |
| identity meaning math: Understanding Teacher Identity Patrick M. Jenlink, 2021-05-08 Understanding Teacher Identity is a collection of studies that examine the complexities of teacher identity and the role of teacher preparation programs in shaping it. Important to this is a realization that the psychological and pedagogical underpinnings of teacher identity hold importance in shaping who a teacher will become in his/her practice. |
| identity meaning math: Mathematics, the Common Core, and RTI Dolores Burton, John Kappenberg, 2013-09-27 Don't let the revolution in math education pass your teachers by By now, most teachers have a shelf full of books, articles, and reports on the Common Core and RTI. But where's the resource that addresses how the two fit together? Individually, the Common Core and RTI are formidable enough. Together, they create a perfect storm of challenges, with most teachers left wondering where to turn first. Finally, here's a guide that distills the central elements of the Common Core and RTI into a single, manageable resource that provides strategies for serving all students. You will find: Real-world scenarios based on actual school-based issues Multiple classroom-ready work samples Content-area applications of RTI, including math vocabulary and literacy A focus on instructional technology, with references to online resources in every chapter Preparation for future developments in state and national educational policy With additional guidance on students with special needs, behavioral issues, English language learners, and parent involvement, this all-in-one resource gives your teachers a distinct advantage in providing the superior math instruction all students deserve. |
| identity meaning math: Identity in Education S. Sánchez-Casal, 2009-05-25 This volume explores the impact of social identity on teaching and learning. The contributors argue, from the perspective of diverse disciplinary and educational contexts, that mobilizing identities in the classroom is a necessary part of progressive educators' efforts to transform knowledge-making and to create a more just and democratic society. |
| identity meaning math: Belonging and Identity in STEM Higher Education Camille Kandiko Howson, Martyn Kingsbury, 2024-07-30 In Belonging and Identity in STEM Higher Education, leading scholars, teachers, practitioners and students explore belonging and identity in Science, Technology, Engineering and Mathematics (STEM) fields, and how this is impacted by disciplinary changes and the post-pandemic higher education context. In STEM fields, positivist approaches and a focus on numerical data can lead to assumptions that they are unemotional, impersonal disciplines. The need for mathematical competency, logical thinking and disciplinary contexts can be barriers to engagement, belonging and success in STEM. STEM ways of thinking, such as those underpinning abstract and complex mathematics, can form the basis for new ways of conceptualising belonging for both staff and students, going beyond socio-demographic and cultural differences. In this book, chapters and case study contributions analyse what is unique about STEM educational environments for staff and students in the UK, Ireland, Europe, Scandinavia and Asia. The authors examine the role of STEM pedagogies in facilitating belonging, variable impacts across student characteristics and the experiences STEM students face in their higher education experiences. It provides a valuable resource for those working in equity diversity and inclusion (EDI), STEM educational researchers and practitioners, as well as offering insights for academics and teachers in STEM higher education. |
| identity meaning math: Theorizing and Measuring Affect in Mathematics Teaching and Learning Chiara Andrà, Domenico Brunetto, Francesca Martignone, 2021-01-23 This book presents a literature review of and a state-of-the-art glimpse into current research on affect-related aspects of teaching and learning in and beyond mathematics classrooms. Then, research presented at the MAVI 25 Conference, which took place in Intra (Italy) in June 2019, is grouped in thematic strands that capture cutting-edge issues related to affective components of learning and teaching mathematics. The concluding chapter summarises the main messages and sketches future directions for research on affect in mathematics education. The book is intended for researchers in mathematics education and especially graduate students and PhD candidates who are interested in emotions, attitudes, motivations, beliefs, needs and values in mathematics education. |
| identity meaning math: Multiple Perspectives on Mathematics Teaching and Learning Jo Boaler, 2000-07-30 Authors analyze mathematics education from a range of perspectives. They address such practical problems as: maximizing the impact of teacher education programmes; increasing learning opportunities for students working in groups; and the impact of male domination in mixed classrooms. |
| identity meaning math: Mathematical Relationships in Education Laura Black, Heather Mendick, Yvette Solomon, 2011-01-13 While demand for the mathematically literate citizen increases, many learners continue to reject mathematics and experience it as excluding and exclusive, even when they succeed at it. In exploring this phenomenon, this volume examines the ways in which learners form particular relationships with mathematics in the context of formal schooling. |
| identity meaning math: Interrogating Whiteness and Relinquishing Power Nicole M. Joseph, Chayla Haynes, Floyd Cobb, 2016 Interrogating Whiteness and Relinquishing Power: White Faculty's Commitment to Racial Consciousness in STEM Classrooms is a collection of narratives that will transform the teaching of any faculty member who teaches in the STEM system. The book links issues of inclusion to teacher excellence at all grade levels by illuminating the critical influence that racial consciousness has on the behaviors of White faculty in the classroom. It functions as an analytical tool, scaffolding exemplary examples to inspire readers to engage in the complex and difficult work of assessing their own racial consciousness and teacher effectiveness. White pre-service teachers in STEM education rarely see the importance of the link between race and the teaching and learning of mathematics, in part because the White faculty who are teaching these subjects rarely engage in the study of racial projects in STEM. From this perspective, the authors of this book contend that the classroom is a racialized environment that, if not addressed, can reproduce racial structures and hierarchies in cyclical ways. |
| identity meaning math: Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 Jennifer M. Bay-Williams, John J. SanGiovanni, 2021-03-02 Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: Seven Significant Strategies to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers. |
| identity meaning math: Basic Algebra Anthony W. Knapp, 2007-07-28 Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems. |
| identity meaning math: Handbook of International Research in Mathematics Education Lyn D. English, David Kirshner, 2010-04-02 This book brings together mathematics education research that makes a difference in both theory and practice - research that anticipates problems and needed knowledge before they become impediments to progress. |
| identity meaning math: Second Handbook of Research on Mathematics Teaching and Learning Frank K. Lester, 2007-02-01 The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community. |
| identity meaning math: Self and Identity Through the Life Course in Cross-Cultural Perspective Timothy J Owens, 2000 This volume represents a new name and a new focus for its predecessor, Current Perspectives on Aging and the Life Cycle (volumes 1-4). We begin our new series, now titled Advances in Life Course Research, with volume 5. Its statement of purpose is the publication of theoretical analyses, reviews, policy analyses and positions, and theory-based empirical papers on issues involving all aspects of the human life course. It adopts a broad conception of the life course, and invites and welcomes contributions from all disciplines and fields of study interested in understanding, describing, and predicting the antecedents of and consequences for the course that human lives take from birth to death, within and across time and cultures (construed in its broadest sense), regardless of methodology, theoretical orientation, or disciplinary affiliation. |
| identity meaning math: Euler's Pioneering Equation Robin Wilson, 2018-02-22 In 1988 The Mathematical Intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics. Twenty-four theorems were listed and readers were invited to award each a 'score for beauty'. While there were many worthy competitors, the winner was 'Euler's equation'. In 2004 Physics World carried out a similar poll of 'greatest equations', and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The Stanford mathematician Keith Devlin reflected the feelings of many in describing it as like a Shakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence. What is it that makes Euler's identity, eiπ + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most important numbers in mathematics, each associated with a story in themselves: the number 1, the basis of our counting system; the concept of zero, which was a major development in mathematics, and opened up the idea of negative numbers; π an irrational number, the basis for the measurement of circles; the exponential e, associated with exponential growth and logarithms; and the imaginary number i, the square root of -1, the basis of complex numbers. Following a chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula. |
| identity meaning math: A Book of Abstract Algebra Charles C Pinter, 2010-01-14 Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition. |
| identity meaning math: The Topos of Music Guerino Mazzola, 2012-12-06 With contributions by numerous experts |
| identity meaning math: Identity Safe Classrooms Dorothy M. Steele, Becki Cohn-Vargas, 2013-09-05 This practitioner-focused guide to creating identity-safe classrooms presents four categories of core instructional practices: Child-centered teaching ; Classroom relationships ; Caring environments ; Cultivating diversity. The book presents a set of strategies that can be implemented immediately by teachers. It includes a wealth of vignettes taken from identity-safe classrooms as well as reflective exercises that can be completed by individual teachers or teacher teams. |
| identity meaning math: Identity Safe Classrooms, Grades 6-12 Becki Cohn-Vargas, Alexandrea Creer Kahn, Amy Epstein, 2020-07-17 Welcome to Identity Safe Classrooms! In identity safe classrooms, students facing negative stereotypes or viewed as different are seen, accepted, and valued for who and what they are. Their identity is embraced as an asset not a barrier for school success. Identity safety is a research-based set of practices that counter the harmful effects of stereotype threat and allow our students to reach their full capacity for learning, foster positive relationships, and better appreciate the full spectrum of human differences. The second of a two-volume set, Identity Safe Classrooms, Grades 6-12, is a call for educators to come together and realize a vision of schools as transformative places of opportunity and equity for all students. Inside you’ll find: Design principles for promoting belonging and a welcoming classroom environment Compelling evidence from identity safety research on ways to mitigate stereotype threat along with counter-narratives that challenge societal biases about gender, race, and other differences Pragmatic strategies for student-centered teaching, including trauma-informed practices, that hold high expectations and validate each student’s background as a resource for learning Vignettes with concrete examples and try-it-out activities and prompts for self-reflection Devour Identity Safe Classrooms, adopt its practices, and soon enough you’ll inspire in all of your students a greater sense of empathy and agency in their educational experiences. Dr. Becki Cohn-Vargas along with Alexandrea Creer Kahn and Amy Epstein show us the intersections between adolescent identity development, racial identity development, and social-emotional development so we know how to use the diversity in classrooms as our strength. -Zaretta Hammond, Author of Culturally Responsive Teaching and the Brain Identity Safe Classrooms should be in the hands of every educator who walks into a school. It′s clear and accessible, grounded in research, thought-provoking and engaging, and actionable, and fills a crucial gap in our resources for creating just and liberated schools. -Elena Aguilar, Author of The Art of Coaching The authors have done an excellent job showing how an identity safe classroom integrates the growth mindset in a secondary school. When students feel accepted and valued, when they feel safe learning from mistakes and encouraged to continually grow as learners, they can reach their highest potential. -Carol Dweck, Stanford University |
| identity meaning math: The Science of Interest Paul A. O'Keefe, Judith M. Harackiewicz, 2017-08-01 This exceptional volume analyzes the intricate roles interest plays in cognition, motivation and learning, and daily living, with a special focus on its development and maintenance across life domains. Leading experts discuss a spectrum of interest ranging from curiosity to obsession, and trace its functions in goal-setting, decision-making, self-regulation, and performance. New research refines the current knowledge on student interest in educational settings and the social contexts of interest, with insights into why interest levels change during engagement and in the long run. From these findings, contributors address ways to foster and nurture interest in the therapy room and the classroom, for optimum benefits throughout life. Among the topics covered: · Embedding interest within self-regulation. · Knowledge acquisition at the intersection of situational and individual interest. · The role of interest in motivation and engagement. · The two faces of passion. · Creative geniuses, polymaths, child prodigies, and autistic savants. · The promotion and development of interest. A robust guide to a fascinating area of study, The Science of Interest synthesizes the field’s current knowledge of interest and indicates future directions. Its chapters contribute depth and rigor to this growing area of research, and will enhance the work of researchers in education, psychologists, social scientists, and public policymakers. |
| identity meaning math: Transform Your Math Class Using Asset-Based Teaching for Grades 6-12 Michael D. Steele, Joleigh Honey, 2024-07-30 Foster a love of mathematics by creating a more inclusive and empowering learning environment through asset-based teaching! An asset-based perspective on math education means starting with what students already know instead of focusing on what’s missing. This approach elevates student thinking and reasoning skills. In this way, educators acknowledge that all students bring prior experiences, strengths, talents, and resources to the learning process and can contribute meaningfully in an authentic learning environment. Transform Your Math Class Using Asset-Based Teaching for Grades 6-12 provides insight into asset-based perspectives in mathematics education to create an environment where all students feel valued and capable of being doers of mathematics. In the book, Michael Steele and Joleigh Honey highlight the importance of using language, instructional routines, and systemic structure that positively impact student engagement, their math identity, and ultimately their outcomes. Providing a wealth of knowledge and practical strategies that can be used to transform math classrooms into inclusive, supportive, and empowering learning environments, this book: Introduces an asset-based perspective that focuses on students′ strengths, assets, and potential to learn mathematics Includes a variety of frameworks and tools that teachers can use to build and grow their sense of asset-based perspectives Offers strategies for promoting a growth mindset in mathematics, encouraging productive struggle in math, and promoting equitable math instruction Supports teachers in reflecting on their decisions, self-awareness, and self-management Includes a companion online study guide to support teachers individually or as part of a professional learning community Adopting asset-based perspectives is about movement over time, not about flipping a switch. This book paves the path for an asset-based journey that ultimately helps to transform our math classrooms and advance all students’ learning and development. |
| identity meaning math: The Words of Mathematics Steven Schwartzman, 1994 This book explains the origins of over 1500 mathematical terms used in English. |
| identity meaning math: Category Theory in Physics, Mathematics, and Philosophy Marek Kuś, Bartłomiej Skowron, 2019-11-11 The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes. The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, processual, and non-substantial ontology in which all entities can be treated as transformations, and in which objects are merely the sources and aims of these transformations. Thus, in a rather surprising way, when employed as a formal ontology, category theory can unite seemingly disparate disciplines in contemporary science and the humanities, such as physics, mathematics and philosophy, but also computer and complex systems science. |
| identity meaning math: Values and Valuing in Mathematics Education Yüksel Dede, Gosia Marschall, Philip Clarkson, 2024-02-22 This book is a follow-up to 'Values and Valuing in Mathematics Education: Scanning and Scoping the Territory' (2019, Springer). This book adds a critical emphasis on practice and fosters thinking concerning positive mathematical well-being, engagement, teacher noticing, and values alignment among a range of critical notions that intersect with values and valuing. Values and valuing play a key role in many aspects of education, such as assessment, planning, classroom interactions, choosing tasks, and general well-being. What one values and finds important in the learning and teaching of mathematics operates within the intersection of all social, cognitive, and affective aspects of school pedagogy, making values a significant holistic factor in education. The chapters explore potential teaching strategies that enhance the understanding of the central place of values in mathematics itself as a subject, as well as how values impact how mathematics is used withinsociety. This book includes examples of strategies for facilitating students’ meaningful engagement with, and conscious learning of, values when engaging in mathematical thinking and doing. |
| identity meaning math: Youth, Language, and Identity Diane Gérin-Lajoie, 2011 This book is a path-breaking examination of identity construction among minority-language youth. Based on a three-year study at two English-language high schools in the Montreal area, it builds on Diane Gérin-Lajoie's previous work on Francophone minority identity in Ontario and extends her analysis to Canada's other official language minority: anglophones living in Quebec. The book begins with an overview of the social and educational reality of Quebec's anglophone minority, and then presents the findings on students' language practices. The central chapters sketch identity portraits of the study's participants, and the later chapters pursue analyses of the themes raised by the study. The result is an original contribution to the understanding of language and identity that will be of interest to school administrators and teachers working in minority-language communities in Canada, and to scholars working on issues of minorities in the social sciences. |
| identity meaning math: English Language Learners and Math Holly Hansen-Thomas, 2009-08-01 Taking a community of practice perspective that highlights the learner as part of a community, rather than a lone individual responsible for her/his learning, this ethnographically-influenced study investigates how Latina/o English Language Learners (ELLs) in middle school mathematics classes negotiated their learning of mathematics and mathematical discourse. The classes in which the Latina/o students were enrolled used a reform-oriented approach to math learning; the math in these classes was—to varying degrees—taught using a hands-on, discovery approach to learning where group learning was valued, and discussions in and about math were critical. This book presents the stories of how six immigrant and American-born ELLs worked with their three teachers of varied ethnicity, education, experience with second language learners, and training in reform-oriented mathematics curricula to gain a degree of competence in the mathematical discourse they used in class. Identity, participation, situated learning, discourse use by learners of English as a Second Language (ESL), framing in language, and student success in mathematics are all critical notions that are highlighted within this school-based research. |
| identity meaning math: Mathematical Mindsets Jo Boaler, 2022-02-15 Reverse mathematics trauma and find a universal blueprint for math success In Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching mathematics education expert and best-selling author Jo Boaler delivers a blueprint to banishing math anxiety and laying a foundation for mathematics success that anyone can build on. Perfect for students who have been convinced they are naturally bad at math, the author offers a demonstration of how to turn self-doubt into self-confidence by relying on the mindset framework. Mathematical Mindsets is based on thousands of hours of in-depth study and research into the most effective—and ineffective—ways to teach math to young people. This new edition also includes: Brand-new research from the last five years that sheds brighter light on how to turn a fear of math into an enthusiastic desire to learn Developed ideas about ways to bring about equitable grouping in classrooms New initiatives to bring 21st century mathematics to K-12 classrooms Mathematical Mindsets is ideal for K-12 math educators. It also belongs on the bookshelves of the parents interested in helping their K-12 children with their math education, as well as school administrators and educators-in-training. |
| identity meaning math: Mathematics for Machine Learning Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong, 2020-04-23 The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site. |
| identity meaning math: Racial Stereotyping and Child Development Diana T. Slaughter-Defoe, 2012 In contemporary societies children's racial identity is co-constructed in response to racial stereotyping with extended family, peers and teachers, and potent media sources. The studies in this volume take cognizance of earlier research into skin colour and racial stereotyping, but advance its contemporary implications. |
| identity meaning math: Handbook of Research on Teaching Drew Gitomer, Courtney Bell, 2016-05-19 The Fifth Edition of the Handbook of Research on Teachingis an essential resource for students and scholars dedicated to the study of teaching and learning. This volume offers a vast array of topics ranging from the history of teaching to technological and literacy issues. In each authoritative chapter, the authors summarize the state of the field while providing conceptual overviews of critical topics related to research on teaching. Each of the volume's 23 chapters is a canonical piece that will serve as a reference tool for the field. The Handbook provides readers with an unaparalleled view of the current state of research on teaching across its multiple facets and related fields. |
| identity meaning math: The Philosophy of Mathematics Education Today Paul Ernest, 2018-06-09 This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future. |
| identity meaning math: Critical Mathematics Education Paul Ernest, Bharath Sriraman, Nuala Ernest, 2016-01-01 Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value?neutral. It argues that history, society, and politics have shaped mathematics—not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value?laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real?life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice. |
Identity - Psychology Today
An identity contains multiple roles—such as a mother, teacher, and U.S. citizen—and each role holds meaning and expectations that are internalized into one’s identity.
Basics of Identity - Psychology Today
Dec 8, 2014 · What does it mean to be who you are? Identity relates to our basic values that dictate the choices we make (e.g., relationships, career). These choices reflect who we are …
Identity | Psychology Today United Kingdom
An identity contains multiple roles—such as a mother, teacher, and U.S. citizen—and each role holds meaning and expectations that are internalized into one’s identity.
Where Does Identity Come From? - Psychology Today
Jul 23, 2022 · Comparisons with others and reflections on our experiences form our sense of identity. Through psychology's various lenses, we have studied the extent to which we see …
5 Key Ideas About Identity Theory - Psychology Today
Jan 25, 2019 · Identity (self-views) relates to our basic values that determine the choices we make (e.g., relationships, career). The meaning of an identity includes expectations for self about …
Living in Alignment With Values, Identity, and Purpose
Jun 2, 2025 · This highlights the importance of living in alignment—making decisions and setting goals grounded in our values, identity, and purpose.
Personal and Social Identity: Who Are You Through Others’ Eyes
Oct 15, 2021 · Personal identity is about how you see yourself as “different” from those around you. Social identities tell how you are like others—they connote similarity rather than difference.
The Identity Arc Behind Our Neurodivergent Responses
May 14, 2025 · Late-identified neurodivergent adults often follow a unique arc of identity discovery and integration. Immersion in neurodivergent identity can be empowering but may risk rigidity …
Do You Let Others Shape Your Identity? - Psychology Today
Jun 2, 2025 · A far greater impact may be our perceptual robustness, the inside-out component. Our internal strength of identity may be the most important ingredient to a successful recipe of …
Identity | Psychology Today Australia
Redirecting to https://www.psychologytoday.com/au/basics/identity.
Identity - Psychology Today
An identity contains multiple roles—such as a mother, teacher, and U.S. citizen—and each role holds meaning and expectations that are internalized into one’s identity.
Basics of Identity - Psychology Today
Dec 8, 2014 · What does it mean to be who you are? Identity relates to our basic values that dictate the choices we make (e.g., relationships, career). These choices reflect who we are and …
Identity | Psychology Today United Kingdom
An identity contains multiple roles—such as a mother, teacher, and U.S. citizen—and each role holds meaning and expectations that are internalized into one’s identity.
Where Does Identity Come From? - Psychology Today
Jul 23, 2022 · Comparisons with others and reflections on our experiences form our sense of identity. Through psychology's various lenses, we have studied the extent to which we see …
5 Key Ideas About Identity Theory - Psychology Today
Jan 25, 2019 · Identity (self-views) relates to our basic values that determine the choices we make (e.g., relationships, career). The meaning of an identity includes expectations for self about …
Living in Alignment With Values, Identity, and Purpose
Jun 2, 2025 · This highlights the importance of living in alignment—making decisions and setting goals grounded in our values, identity, and purpose.
Personal and Social Identity: Who Are You Through Others’ Eyes
Oct 15, 2021 · Personal identity is about how you see yourself as “different” from those around you. Social identities tell how you are like others—they connote similarity rather than difference.
The Identity Arc Behind Our Neurodivergent Responses
May 14, 2025 · Late-identified neurodivergent adults often follow a unique arc of identity discovery and integration. Immersion in neurodivergent identity can be empowering but may risk rigidity …
Do You Let Others Shape Your Identity? - Psychology Today
Jun 2, 2025 · A far greater impact may be our perceptual robustness, the inside-out component. Our internal strength of identity may be the most important ingredient to a successful recipe of …
Identity | Psychology Today Australia
Redirecting to https://www.psychologytoday.com/au/basics/identity.
