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This book explores the connection between the ways people speak in mathematics classrooms and their opportunities to learn mathematics. The words spoken, heard, written and read in mathematics classrooms shape students’ sense of what mathematics is and of what people can do with mathematics. The authors employ multiple perspectives to consider the means for transformative action with respect to increasing opportunities for traditionally marginalized students to form mathematical identities that resonate with their cultural, social, linguistic, and political beings.
Presents portraits of teaching by secondary school teachers who have closely observed classroom communication, conversation and discourse.
Building Support for Scholarly Practices in Mathematics Methods is the product of collaborations among over 40 mathematics teacher educators (MTEs) who teach mathematics methods courses for prospective PreK?12 teachers in many different institutional contexts and structures. Each chapter unpacks ways in which MTEs use theoretical perspectives to inform their construction of goals, activities designed to address those goals, facilitation of activities, and ways in which MTEs make sense of experiences prospective teachers have as a result. The book is organized in seven sections that highlight how the theoretical perspective of the instructor impacts scholarly inquiry and practice. The final section provides insight as we look backward to reflect, and forward with excitement, moving with the strength of the variation we found in our stories and the feeling of solidarity that results in our understandings of purposes for and insight into teaching mathematics methods. This book can serve as a resource for MTEs as they discuss and construct scholarly practices and as they undertake scholarly inquiry as a means to systematically examine their practice.
This book compiles and synthesizes existing research on teachers’ use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on – but not restricted to – those materials developed in the 1990s in response to the NCTM’s Principles and Standards for School Mathematics. Despite the substantial amount of curriculum development activity over the last 15 years and growing scholarly interest in their use, the book represents the first compilation of research on teachers and mathematics curriculum materials and the first volume with this focus in any content area in several decades.
This volume showcases new insights, teaching ideas and new and unique ways of applying critical mathematics education, in areas as diverse as climate change, obesity, decolonisation and ethnomathematics.
For the past decade reform efforts have placed importance on all students being able to participate in collaborative and productive mathematical discourse as an essential component for their learning of mathematics with deep conceptual understandings. In this book our intent is to support mathematics education researchers, teacher educators, teachers and policy makers in providing positive solutions to the enduring challenge in mathematics education of enabling all participants including diverse students to equitably access mathematical discourse. By diverse learners we mean learners who are minoritized in terms of gender, disability, or/and social, cultural, ethnic, racial or language backg...
Why do some equations have one solution, others two or even more solutions and some no solutions? Why do we sometimes need to ""switch"" the direction of an inequality symbol in solving an inequality? What could you say if a student described a function as an equation? How much do you know...and how much do you need to know? Helping your students develop a robust understanding of expressions, equations and functions requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about expressions, equations and functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas - essential ...
This book offers a model of classroom discourse analysis that uses systemic functional linguistic theory and associated genre theory to develop a view of classroom episodes as 'curriculum genres', some of which operate in turn as part of larger unities of work called 'curriculum macrogenres'. Drawing on Bernstein's work, Christie argues that two registers operate in pedagogic discourse: a regulative register, to do with the goals and directions of the discourse; and an instructional register, to do with the particular 'content' or knowledge at issue. Each can be shown to be realized in distinctive clusters of choices in the grammar. The operation of the regulative register determines the initiation, pacing, sequencing and evaluation of the overall pedagogic activity. The book sets out the its methodology in detail by reference to a number of classroom texts, and a range of school subjects. Overall, schools emerge as sites of symbolic control in a culture.
This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five sections that address research about (1) foundations, (2) methods, (3) mathematical processes and content, (4) students, teachers, and learning environments, and (5) futuristic issues. Each chapter offers a synthesis of research with an eye to the historical development of a research topic and, in particular, historical milestones of the research about the topic.
Built from research-based frameworks, this powerful professional learning program provides groups of participants with opportunities to grapple with important ideas about mathematics discourse in an effort to support every student to engage in richer, deeper discourse that positively impacts their learning of mathematics and their identities as mathematics learners. Organized for both novice and experienced professional learning facilitators, the program features the following components: Facilitator's Guide This more than 500-page Facilitator's Guide offers seven professional learning modules, called Constellations. Each is organized as a set of case-based, practice-based activities providing 30 to 40 hours of experiences. Participant Guides Each Constellation offers a participant guide in a downloadable, full-color PDF format. Video and Audio Clips The resource contains five video clips and one audio clip as part of the narrative cases. All clips are accessible online or via the QR codes in the Facilitator's Guide. PowerPoint Slides A downloadable PowerPoint presentation further helps with facilitating the modules.