Researching and Using Progressions (Trajectories) in Mathematics Education

Researching and Using Progressions (Trajectories) in Mathematics Education

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  • Author:
  • Publisher: BRILL
  • ISBN: 9004396446
  • Category : Education
  • Languages : en
  • Pages : 255

This book presents a contemporary focus on significant issues in STEM teaching, learning and research that are valuable in preparing students for a digital 21st century. The book chapters cover a wide spectrum of issues and topics using a wealth of research methodologies and methods.


Early Childhood Mathematics Education Research

Early Childhood Mathematics Education Research

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  • Author: Julie Sarama
  • Publisher: Routledge
  • ISBN: 1135592497
  • Category : Education
  • Languages : en
  • Pages : 440

This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.


Learning Over Time

Learning Over Time

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  • Author: Alan P. Maloney
  • Publisher: IAP
  • ISBN: 1623965691
  • Category : Education
  • Languages : en
  • Pages : 288

The driving forces behind mathematics learning trajectories is the need to understand how children actually learn and make sense of mathematics-how they progress from prior knowledge, through intermediate understandings, to the mathematics target understandings-and how to use these insights to improve instruction and student learning. In this book, readers will come to understand what learning trajectories are, the research and methodology that are necessary for developing them, and gain insight into potential applications of learning trajectories. A synthesis and research outcome in their own right, learning trajectories provide detailed description of instructionally-grounded development of mathematical concepts and reasoning from the perspective of student learning, and, overall, building on decades of accumulated experience in mathematics education research. However, their greater importance may lie in their potential as frameworks that contribute an unprecedented coherence across classroom instruction, professional development, standards, and assessment, by focusing squarely on conceptual understanding and reasoning instead of assessment-driven procedural knowledge. This potential was sufficiently compelling as an organizing framework to have been cited as a basis for the Common Core mathematics standards, the new mathematics learning expectations that are now consistent across most of the United States. (Among the conference attendees were the writers of the Common Core State Standards for Mathematics, at the beginning of the Standards drafting process.) This book is an outgrowth of a conference on learning trajectories, hosted in 2009 at North Carolina State University, which examined research on learning trajectories. An overarching message of the chapters in this volume is that learning trajectories, by focusing on how children's mathematical reasoning develops, are coming into their own as a rigorous underpinning for both instruction and accountability. Some of the learning scientists featured in this volume have played major roles learning trajectories' evolution--from small-scale day-to-day conjectures by individual teachers, to systematic research endeavors that teachers and scientists alike can use to interpret standards, plan instruction, and formatively assess student work. The work in this volume will be of interest to mathematics educators, teachers, and professional development specialists.


Authentic Assessment and Evaluation Approaches and Practices in a Digital Era

Authentic Assessment and Evaluation Approaches and Practices in a Digital Era

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  • Author:
  • Publisher: BRILL
  • ISBN: 9004501576
  • Category : Education
  • Languages : en
  • Pages : 414

This book expertly illustrates the important process of authentic assessment and evaluation in the construction and dissemination of educational knowledge. One of the key strengths of this book is the diversity of contexts in which the various aspects of assessment are evidenced and discussed.


Quantitative Measures of Mathematical Knowledge

Quantitative Measures of Mathematical Knowledge

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  • Author: Jonathan Bostic
  • Publisher: Routledge
  • ISBN: 0429942249
  • Category : Education
  • Languages : en
  • Pages : 254

The aim of this book is to explore measures of mathematics knowledge, spanning K-16 grade levels. By focusing solely on mathematics content, such as knowledge of mathematical practices, knowledge of ratio and proportions, and knowledge of abstract algebra, this volume offers detailed discussions of specific instruments and tools meant for measuring student learning. Written for assessment scholars and students both in mathematics education and across educational contexts, this book presents innovative research and perspectives on quantitative measures, including their associated purpose statements and validity arguments.


Handbook of Research on Innovative Approaches to Early Childhood Development and School Readiness

Handbook of Research on Innovative Approaches to Early Childhood Development and School Readiness

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  • Author: Betts, Anastasia Lynn
  • Publisher: IGI Global
  • ISBN: 1799886514
  • Category : Education
  • Languages : en
  • Pages : 860

School readiness is as much about schools recognizing the existing capabilities and knowledge each child has when they enter school as it is about supporting children and families in their preparation for entering formal learning environments. Effective approaches that address learning variability must take these differences into account, recognizing and leveraging opportunities inherent in the child’s ecosystem of resources. The Handbook of Research on Innovative Approaches to Early Childhood Development and School Readiness assembles the most current research and thought-leadership on the ways in which innovative education stakeholders are working together to impact the most critical years in a child’s life—the years leading up to and including kindergarten. Covering topics such as change agency, experience quality, and social-emotional development, this book is a crucial resource for educational researchers, child development professionals, school administrators, pre-K teachers, pre-service teachers, program managers, policymakers, non-profit service organizations, early childhood EdTech developers, curriculum developers, and academicians.


Enabling Mathematics Learning of Struggling Students

Enabling Mathematics Learning of Struggling Students

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  • Author: Yan Ping Xin
  • Publisher: Springer Nature
  • ISBN: 3030952169
  • Category : Education
  • Languages : en
  • Pages : 389

This book provides prospective and practicing teachers with research insights into the mathematical difficulties of students with learning disabilities and classroom practices that address these difficulties. This linkage between research and practice celebrates teachers as learners of their own students’ mathematical thinking, thus contributing an alternative view of mathematical progression in which students are taught conceptually. The research-based volume presents a unique collaboration among researchers in special education, psychology, and mathematics education from around the world. It reflects an ongoing work by members of the International Group for the Psychology of Mathematics Education (PME) and the North American Chapter of the PME Working Groups. The authors of chapters in this book, who have been collaborating extensively over the past 7 years, are from Australia, Canada, the United Kingdom, and the United States.


Primary Mathematics

Primary Mathematics

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  • Author: Penelope Baker
  • Publisher: Cambridge University Press
  • ISBN: 1009265172
  • Category : Education
  • Languages : en
  • Pages : 439

Primary Mathematics: Integrating Theory with Practice is a comprehensive introduction to teaching mathematics in Australian primary schools. Closely aligned with the Australian Curriculum, it provides a thorough understanding of measurement, geometry, patterns and algebra, data and statistics, and chance and probability. The fourth edition provides support for educators in key aspects of teaching: planning, assessment, digital technologies, diversity in the classroom and integrating mathematics content with other learning areas. It also features a new chapter on the role of education support in the mathematics classroom. Each chapter has been thoroughly revised and is complemented by classroom snapshots demonstrating practical application of theories, activities to further understanding and reflection questions to guide learning. New in this edition are 'Concepts to consider', which provide a guided explanation and further discussion of key concepts to support pre- and in-service teachers' learning and teaching of the fundamentals of mathematics.


Primary Mathematics: Volume 4

Primary Mathematics: Volume 4

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  • Author: Penelope Baker
  • Publisher: Cambridge University Press
  • ISBN: 1009265148
  • Category : Education
  • Languages : en
  • Pages : 439

Primary Mathematics: Integrating Theory with Practice is a comprehensive introduction to teaching mathematics in Australian primary schools. Closely aligned with the Australian Curriculum, it provides a thorough understanding of measurement, geometry, patterns and algebra, data and statistics, and chance and probability. The fourth edition provides support for educators in key aspects of teaching: planning, assessment, digital technologies, diversity in the classroom and integrating mathematics content with other learning areas. It also features a new chapter on the role of education support in the mathematics classroom. Each chapter has been thoroughly revised and is complemented by classroom snapshots demonstrating practical application of theories, activities to further understanding and reflection questions to guide learning. New in this edition are 'Concepts to consider', which provide a guided explanation and further discussion of key concepts to support pre- and in-service teachers' learning and teaching of the fundamentals of mathematics.


Illuminating and Advancing the Path for Mathematical Writing Research

Illuminating and Advancing the Path for Mathematical Writing Research

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  • Author: Colonnese, Madelyn W.
  • Publisher: IGI Global
  • ISBN: 166846540X
  • Category : Reference
  • Languages : en
  • Pages : 410

Mathematical writing is essential for students’ math learning, but it’s often underutilized due to unclear guidelines. Mathematical writing is a mode of communication that provides teachers access to their students’ thinking and, importantly, offers students an opportunity to deepen their mathematical understanding, engage in mathematical reasoning, and learn a fundamental way to communicate mathematically. Notably, one needs to be able to judiciously combine mathematical symbols, representations, and text. However, more research is needed to exemplify the qualities of mathematical writing, develop implementation methods, and support teachers. Illuminating and Advancing the Path for Mathematical Writing Research, is a necessary comprehensive resource designed to enhance mathematical writing and promote equitable learning. This research book provides a comprehensive understanding of the current state of mathematical writing and illuminates various perspectives on moving the teaching and learning of k-12 mathematical writing forward. Mathematical writing is an important yet underutilized component of mathematical discourse, and this book offers further insight into understanding what it means to write mathematically for mathematics educators and researchers. It informs with research-based implementation strategies and creates purposeful professional learning opportunities. Ultimately, k-12 students will benefit from a more informed field because they will have access to a vital mode of mathematical reasoning and communication.