Ebook Learning Over Time Learning Trajectories in Mathematics Education

Free PDF Learning Over Time Learning Trajectories in Mathematics Education

Free PDF Learning Over Time Learning Trajectories in Mathematics Education

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Book Details :
Published on: 2014-06-01
Released on: 2014-06-01
Original language: English

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. Accepted Papers ICML New York City We show how deep learning methods can be applied in the context of crowdsourcing and unsupervised ensemble learning. First we prove that the popular model of Dawid ... Resources for Educators - NSA.gov NSA established various outreach programs for teachers at the K-12 undergraduate and graduate levels to engage students on the importance of science technology ... Technology Integration: Essential Questions (Page 1 of 3) Table 1: Learning Domains with Associated Theories: Learning Domain: Associated Theories: Traits: Percent of learning over a lifetime contributed by the domain PISA 2012 Results in Focus - oecd.org PISA 2012 Results in Focus - oecd.org ... pisa 2012. Ministry of Education Capacity Building Series ... 3 1. Focusing Instruction on Key Concepts Often the starting point for a lesson can be a narrow learning goal (e.g. one curriculum expectation such as how to carry ... Professional Community and Professional Development in ... Professional Community and Professional Development in the Learning-Centered School WORKING PAPER BEST PRACTICES NEA RESEARCH Judith Warren Little University of ... The University of Arizona - Institute for Mathematics ... Progressions Documents for the Common Core Math Standards Funded by the Brookhill Foundation Progressions. Draft Front Matter; Draft K6 Progression on Geometry Department of Mathematics Welcome! Thank you for visiting The University of Arizona Department of Mathematics website. This site provides information about our undergraduate program our ... Constructivism Education.com CONSTRUCTIVISM AS EPISTEMOLOGICAL THEORY LEARNING THEORY AND PEDAGOGY. The term constructivism can refer to one of many different but related concepts. NSTA Journal Article Through NSTA youll find leading resources for excellence in teaching and learning and experience growth through robust professional development.
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