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Hypothetical Learning Trajectories

Hypothetical Learning Trajectories PDF Author: Douglas H. Clements
Publisher: Routledge
ISBN: 1136506942
Category : Education
Languages : en
Pages : 188

Book Description
The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies.

Hypothetical Learning Trajectories

Hypothetical Learning Trajectories PDF Author: Douglas H. Clements
Publisher: Routledge
ISBN: 1136506942
Category : Education
Languages : en
Pages : 188

Book Description
The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies.

Encyclopedia of Mathematics Education

Encyclopedia of Mathematics Education PDF Author: Stephen Lerman
Publisher: Springer
ISBN: 9783030157883
Category : Education
Languages : en
Pages : 916

Book Description
The Encyclopedia of Mathematics Education is a comprehensive reference text, covering every topic in the field with entries ranging from short descriptions to much longer pieces where the topic warrants more elaboration. The entries provide access to theories and to research in the area and refer to the leading publications for further reading. The Encyclopedia is aimed at graduate students, researchers, curriculum developers, policy makers, and others with interests in the field of mathematics education. It is planned to be 700 pages in length in its hard copy form but the text will subsequently be up-dated and developed on-line in a way that retains the integrity of the ideas, the responsibility for which will be in the hands of the Editor-in-Chief and the Editorial Board. This second edition will include additional entries on: new ideas in the politics of mathematics education, working with minority students, mathematics and art, other cross-disciplinary studies, studies in emotions and mathematics, new frameworks for analysis of mathematics classrooms, and using simulations in mathematics teacher education. Existing entries will be revised and new entries written. Members of the international mathematics education research community will be invited to propose new entries. Editorial Board: Bharath Sriraman Melony Graven Yoshinori Shimizu Ruhama Even Michele Artigue Eva Jablonka Wish to Become an Author? Springer's Encyclopedia of Mathematics Education's first edition was published in 2014. The Encyclopedia is a "living" project and will continue to accept articles online as part of an eventual second edition. Articles will be peer-reviewed in a timely manner and, if found acceptable, will be immediately published online. Suggested articles are, of course, welcome. Feel encouraged to think about additional topics that we overlooked the first time around, and to suggest colleagues (including yourself!) who will want to write them. Interested new authors should contact the editor in chief, Stephen Lerman, at [email protected], for more specific instructions.

Learning Trajectories for Teachers

Learning Trajectories for Teachers PDF Author: Paola Sztajn
Publisher: Teachers College Press
ISBN: 0807761443
Category : Education
Languages : en
Pages : 177

Book Description
Designed to strengthen the teaching of mathematics in the elementary grades, this book focuses on helping teachers engage in instruction based on learning trajectories (LTs). Renowned scholars, including professional development researcher Hilda Borko, examine four exemplary projects with details on professional development design, teacher learning, and project implementation. Contributors include Hilda Borko, Douglas H. Clements, Susan B. Empson, Victoria R. Jacobs, and Julie Sarama. “This is an amazingly important and valuable resource for mathematics teachers and leaders at any level. It provides the background and understandings so critical for teachers and teacher leaders to regularly consider and use learning trajectories to inform teacher planning and instruction.” —Dr. Francis (Skip) Fennell, professor emeritus, McDaniel College, and past president of the Association of Mathematics Teacher Educators and the National Council of Teachers of Mathematics “This is the first book that I’ve come across that unpacks what it means to have a framework for student learning at the center of one’s instruction.” —Mary Kay Stein, University of Pittsburgh School of Education “I find this book useful for mathematics educators interested in framing learning trajectories across several domains—including tasks, discourse, curriculum, learners’ understanding, and assessment—to support professional development. Learning trajectories help us make connections among the domains and deepens professional knowledge and understanding.” —Robert Q. Berry III, University of Virginia, and president of the National Council of Teachers of Mathematics

Research-Based Learning: Case Studies from Maastricht University

Research-Based Learning: Case Studies from Maastricht University PDF Author: Ellen Bastiaens
Publisher: Springer
ISBN: 3319509934
Category : Education
Languages : en
Pages : 215

Book Description
This book describes lessons learned from the implementation of research based learning at Maastricht University. Well-known for its problem based learning (PBL) educational model, Maastricht University implemented research-based learning (RBL) as a new educational concept in addition to PBL, around 2009. The model has taken the shape of an excellence programme offering third-year bachelor students an opportunity to conduct academic research together with academic staff. The introduction of the research-based learning concept into the programmes of all Maastricht University’s faculties has resulted in a range of RBL models that vary to fit the various disciplines and programmes offered by the faculties. The book first presents theoretical models and a description of the concepts of research-based learning and undergraduate research (UGR). Next, by means of case studies, it describes the formulas developed to suit the various programmes, the challenges encountered, the initial reservations on the part of the staff, the limitations caused by regulations and demands of the curricula, as well as the successes and results of the excellence programme. The disciplines described in the case studies include psychology and neuroscience, knowledge engineering, social and cultural sciences, law, and business and economics.

Design Research in Education

Design Research in Education PDF Author: Arthur Bakker
Publisher: Routledge
ISBN: 1351329413
Category : Education
Languages : en
Pages : 300

Book Description
Design Research in Education is a practical guide containing all the information required to begin a design research project. Providing an accessible background to the methodological approaches used in design research as well as addressing all the potential issues that early career researchers will encounter, the book uniquely helps the early career researcher to gain a full overview of design research and the practical skills needed to get their project off the ground. Based on extensive experience, the book also contains multiple examples of design research from both undergraduate and postgraduate students, to demonstrate possible projects to the reader. With easy to follow chapters and accessible question and response sections, Design Research in Education contains practical advice on a wide range of topics related to design research projects including: The theory of design research, what it entails, and when it is suitable The formulation of research questions How to structure a research project The quality of research and the methodological issues of validity and reliability How to write up your research The supervision of design research. Through its theoretical grounding and practical advice, Design Research in Education is the ideal introduction into the field of design based research and is essential reading for bachelor's, master's and PhD students new to the field, as well as to supervisors overseeing projects that use design research.

Special Issues in Early Childhood Mathematics Education Research

Special Issues in Early Childhood Mathematics Education Research PDF Author:
Publisher: BRILL
ISBN: 9004510680
Category : Education
Languages : en
Pages : 323

Book Description
In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.

Early Childhood Mathematics Education Research

Early Childhood Mathematics Education Research PDF Author: Julie Sarama
Publisher: Routledge
ISBN: 1135592497
Category : Education
Languages : en
Pages : 440

Book Description
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 and Teaching Early Math

Learning and Teaching Early Math PDF Author: Douglas H. Clements
Publisher: Routledge
ISBN: 1135843791
Category : Education
Languages : en
Pages : 552

Book Description
In this important new book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help teachers become more effective professionals. By opening up new windows to seeing young children and the inherent delight and curiosity behind their mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying level of knowledge and thinking of their classes and the individuals within them as key in serving the needs of all children. In straightforward, no-nonsense language, this book summarizes what is known about how children learn mathematics, and how to build on what they know to realize more effective teaching practice. It will help teachers understand the learning trajectories of early mathematics and become quintessential professionals.

Compendium for Research in Mathematics Education

Compendium for Research in Mathematics Education PDF Author: Jinfa Cai
Publisher: National Council of Teachers of English
ISBN: 9780873537117
Category : Matemáticas
Languages : en
Pages : 1008

Book Description
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.

Children Learn Mathematics

Children Learn Mathematics PDF Author:
Publisher: BRILL
ISBN: 9087903952
Category : Education
Languages : en
Pages : 255

Book Description
Improving the quality of education is an important endeavor of educational policy and TAL aims to contribute to this. TAL is a project initiated by the Dutch Ministry of Education, Culture and Sciences, and carried out by the Freudenthal Institute (FI) of Utrecht University and the Dutch National Institute for Curriculum Development (SLO), in collaboration with the Rotterdam Center for Educational Services (CED). The quality of education can be improved in many ways. TAL proposes to do this by providing insights into the broad outline of the learning-teaching process and its internal coherence. It aims to be a support for teachers alongside mathematics textbook series. Furthermore, TAL can provide extra support for teachers if it is incorporated into a circle of implementation. The TAL project aims to describe the intermediate attainment targets of primary school mathematics. These objectives represent a further development of, and a supplement to, the previously established core goals for the end of primary school. A defining feature of the intermediate attainment targets is that they are embedded in a learning-teaching trajectory. This is also the reason for calling the project TAL, which in Dutch stands for Tussendoelen Annex Leerlijnen; in English this means Intermediate Attainment Targets in Learning-Teaching Trajectories. The middle letter of TAL can also be considered as referring to Afbeeldingen (Representations). This term indicates that the trajectory description contains many examples of students’ and teachers’ behavior, which form an integral part of the learning-teaching trajectory. Eventually, learning-teaching trajectory descriptions will be developed for all domains of primary school mathematics. The present book contains the learning-teaching trajectory for the domain of whole number calculation. The book contains of one trajectory for the lower grades (kindergarten 1 and 2, and grades 1 and 2) and one for the upper grades of primary school (grades 3, 4, 5 and 6). This means that the book covers the learning process in this domain for children ranging from 4 to 12 years of age.