Proceedings Of The Nctm Research Catalyst Conference

This book presents a coherent collection of research studies on teacher knowledge and its relation to instruction and learning in middle-grades mathematics. The authors provide comprehensive literature reviews on specific components of mathematics knowledge for teaching that have been found to be important for effective instruction.

The four sections in this Third International Handbook are concerned with: (a) social, political and cultural dimensions in mathematics education; (b) mathematics education as a field of study; (c) technology in the mathematics curriculum; and (d) international perspectives on mathematics education. These themes are taken up by 84 internationally-recognized scholars, based in 26 different nations. Each of section is structured on the basis of past, present and future aspects. The first chapter in a section provides historical perspectives (“How did we get to where we are now?”); the middle chapters in a section analyze present-day key issues and themes (“Where are we now, and what recent events have been especially significant?”); and the final chapter in a section reflects on policy matters (“Where are we going, and what should we do?”). Readership: Teachers, mathematics educators, ed.policy makers, mathematicians, graduate students, undergraduate students. Large set of authoritative, international authors.​

With the ever-changing climate of education around the globe, it is essential that educators stay abreast of the most updated teaching methods and applications. To do this, fostering teacher education programs that include innovative practices and initiatives within the field is imperative. The Handbook of Research on Teacher Education and Professional Development investigates current initiatives and approaches in educational programs. Focusing on research studies and theoretical concepts on innovative projects related to teacher education and professional development programs, this book is a pivotal reference source for academics, professionals, students, practitioners, and researchers.

Algebra is the gateway to college and careers, yet it functions as the eye of the needle because of low pass rates for the middle school/high school course and students’ struggles to understand. We have forty years of research that discusses the ways students think and their cognitive challenges as they engage with algebra. This book is a response to the National Council of Teachers of Mathematics’ (NCTM) call to better link research and practice by capturing what we have learned about students’ algebraic thinking in a way that is usable by teachers as they prepare lessons or reflect on their experiences in the classroom. Through a Fund for the Improvement of Post-Secondary Education (FIPSE) grant, 17 teachers and mathematics educators read through the past 40 years of research on students’ algebraic thinking to capture what might be useful information for teachers to know—over 1000 articles altogether. The resulting five domains addressed in the book (Variables & Expressions, Algebraic Relations, Analysis of Change, Patterns & Functions, and Modeling & Word Problems) are closely tied to CCSS topics. Over time, veteran math teachers develop extensive knowledge of how students engage with algebraic concepts—their misconceptions, ways of thinking, and when and how they are challenged to understand—and use that knowledge to anticipate students’ struggles with particular lessons and plan accordingly. Veteran teachers learn to evaluate whether an incorrect response is a simple error or the symptom of a faulty or naïve understanding of a concept. Novice teachers, on the other hand, lack the experience to anticipate important moments in the learning of their students. They often struggle to make sense of what students say in the classroom and determine whether the response is useful or can further discussion (Leatham, Stockero, Peterson, & Van Zoest 2011; Peterson & Leatham, 2009). The purpose of this book is to accelerate early career teachers’ “experience” with how students think when doing algebra in middle or high school as well as to supplement veteran teachers’ knowledge of content and students. The research that this book is based upon can provide teachers with insight into the nature of a student’s struggles with particular algebraic ideas—to help teachers identify patterns that imply underlying thinking. Our book, How Students Think When Doing Algebra, is not intended to be a “how to” book for teachers. Instead, it is intended to orient new teachers to the ways students think and be a book that teachers at all points in their career continually pull of the shelf when they wonder, “how might my students struggle with this algebraic concept I am about to teach?” The primary audience for this book is early career mathematics teachers who don’t have extensive experience working with students engaged in mathematics. However, the book can also be useful to veteran teachers to supplement their knowledge and is an ideal resource for mathematics educators who are preparing preservice teachers.

(Orginally published in 2008) The 14 chapters in this monograph provide support for mathematics teacher educators in both their Practical Knowledge and their Professional Knowledge. Individually, these articles provide insights into advancing our thinking about professional development, teacher preparation, and program development. Collectively, they have the potential to help the field of mathematics teacher education move forward in framing effective practices in mathematics teacher education and developing a focused, cohesive research agenda. ATME's Monograph 5, therefore, is a superb resource for mathematics teacher education.

Concerns about quality mathematics education are often posed in terms of the types of mathematics that are worthwhile and valuable for both the student and society in general, and about how to best support students so that they can develop this mathematics. Concerns about equity are about who is excluded from the opportunity to develop quality mathematics within our current practices and systems, and about how to remove social barriers that systematically disadvantage those students. This collection of chapters summarises our learning about the achievement of both equity and quality agendas in mathematics education and to move forward the debate on their importance for the field.

This edited volume extends our field of studies by highlighting novel 21st century curricular designs and pedagogical practices in the preparation of future bilingual teachers and their relevance for advancing curriculum, instruction, and educational achievement across bilingual school contexts. In particular, the volume provides a much-needed overview of innovative bilingual teacher preparation practices designed and implemented to develop bilingual teacher professionals equipped to effect curricular and pedagogical changes in bilingual settings. As such, two main questions guiding the orchestration of the volume are: (a) What innovative curricular and pedagogical designs characterize the field of bilingual teacher education in 21st century? and (b) How do or could these innovative curricular and pedagogical approaches for educating future bilingual teachers influence teacher practices in bilingual contexts for advancing curriculum, pedagogy and the achievement of bilingual learners? ENDORSEMENTS: "This collection of chapters in English and Spanish offers readers novel place-based ways of transforming bilingual/biliterate teacher education programs to ensure that new teachers gain pedagogical language, literacy, and content practices that expand language and literacy in heretofore unimagined ways. All bilingual/biliterate teacher educators should read this extraordinary book." — Christian J. Faltis, Texas A&M International University "This volume deftly addresses a topic of great currency on the bilingual education agenda: how to orchestrate curricular and pedagogical innovation in teacher development and how to enact change at the grassroots level through its impact on teaching practices. A must-read tour de force for anyone interested in the development, implementation, or research of quality bilingual teacher education." — María Luisa Pérez Cañado, Universidad de Jaén "Enduring critiques of teacher education, once the sole province of conservative policymakers, now includes many thinkers we formally considered allies. This excellent collection, which includes a host of new and powerful voices, forces all sides to sit up and pay attention." — Kip Téllez, University of California, Santa Cruz