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Early Algebraization
In this volume, the authors address the development of students’ algebraic thinking in the elementary and middle school grades from curricular, cognitive, and instructional perspectives. The volume is also international in nature, thus promoting a global dialogue on the topic of early Algebraization.
Teaching and Learning Proof Across the Grades
A Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM) In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can...
The Art of Problem Posing
This book encourages readers to shift their thinking about problem posing from the "other" to themselves (i.e. that they can develop problems themselves) and offers a broader conception of what can be done with problems.
A Pragmatic Approach to Fluency and Disfluency in Learner Language
This monograph presents analyses of filled and unfilled pauses, cut-offs, repair, discourse markers and other phenomena often referred to as disfluencies in the context of advanced language learners' PowerPoint presentations. It adopts a multimodal perspective to demonstrate the functions of these elements in interaction. Paired with gaze shifts, pointing gestures and posture shifts, they act as facilitators of joint visual orientation, mutual understanding, and accountable actions. Therefore, this volume suggests the name cofluency to reflect their potential functionality. Cofluencies are essential elements of multimodal chunks and multimodal patterns, and these are building blocks of a multimodal turn-taking mechanism for presentations. These concepts are illustrated and discussed based on excerpts from naturally occurring classroom data.
Teaching and Learning High School Mathematics
Too many high school students, faced with mathematics in courses at the level of algebra and beyond, find themselves struggling with abstract concepts and unwilling to pursue further study of mathematics. When students curtail their course taking in mathematics, they may be impacting their college and career options. Thus, high school mathematics teachers have the responsibility to help students recognize the value and importance of mathematics while also designing instruction that makes mathematics accessible to all students. Ball and Bass (2000), as well as other mathematics educators, have recognized that mathematics teachers not only need to know mathematics content and mathematics pedag...
Proficiency and Beliefs in Learning and Teaching Mathematics
Efforts to improve mathematics education have led educators and researchers to not only study the nature of proficiency, beliefs, and practices in mathematics learn¬ing and teaching, but also identify and assess possible influences on students’ and teachers’ proficiencies, beliefs, and practices in learning and teaching mathematics. The complexity of these topics has fascinated researchers from various back¬grounds, including psychologists, cognitive or learning scientists, mathematicians, and mathematics educators. Among those researchers, two scholars with a similar background – Alan Schoenfeld in the United States and Günter Törner in Germany, are internationally recognized for ...
International Perspectives on Teaching and Learning for Mathematical Literacy
Mathematics plays an important role in today’s world and is used in daily life more than is often appreciated. Mathematical literacy denotes the competence to deal with the mathematical issues of life in modern society. The underlying purpose of this book is to support the development of rich understandings and practices of how an education for mathematical literacy can be realised. The collected works, emerging from several educational systems, offer a fresh perspective on mathematical literacy and the chapters include practical examples that teachers, pre-service teachers, and teacher educators might adapt to their own needs.
How Chinese Acquire and Improve Mathematics Knowledge for Teaching
While the importance of knowledge for effective instruction has long been acknowledged, and the concept and structure of mathematics knowledge for teaching are far from being new, the process of such knowledge acquisition and improvement remains underexplored empirically and theoretically. The difficulty can well associate with the fact that different education systems embody different values for what mathematics teachers need to learn and how they can be assisted to develop their knowledge. To improve this situation with needed consideration about a system context and policies, How Chinese Acquire and Improve Mathematics Knowledge for Teaching takes a unique approach to present new research...
Teaching Expertise in Three Countries
"While many of us assume that experience makes teachers better at their jobs, remarkably little research has been done to understand how teachers develop expertise and how it affects their teaching. In Teaching Expertise in Three Countries, Akiko Hayashi gives us a remarkable look at the careers of teachers over the course of more than fifteen years. Not only does her research cover a remarkable timespan, it also studies teachers from three national contexts: Japan, China, and the United States. Hayashi builds on the research that began with Joseph Tobin et al.'s celebrated 1991 book Preschool in Three Cultures, examining six teachers profiled in Tobin's 2009 follow up Preschool in Three Cul...
Compendium for Early Career Researchers in Mathematics Education
The purpose of this Open Access compendium, written by experienced researchers in mathematics education, is to serve as a resource for early career researchers in furthering their knowledge of the state of the field and disseminating their research through publishing. To accomplish this, the book is split into four sections: Empirical Methods, Important Mathematics Education Themes, Academic Writing and Academic Publishing, and a section Looking Ahead. The chapters are based on workshops that were presented in the Early Career Researcher Day at the 13th International Congress on Mathematical Education (ICME-13). The combination of presentations on methodological approaches and theoretical pe...
