Effects of TRIAD on Mathematics Achievement

Effects of TRIAD on Mathematics Achievement

Author: Douglas H. Clements

Publisher:

Published: 2016

Total Pages: 18

ISBN-13:

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Although some research-based educational practices have shown promise, many fail to be implemented at a scale that affects more than a small proportion of children. Further, research on interventions for young children includes mixed results, with most documenting "fadeout" of effects after several years, but some showing lasting effects. In this study, the authors evaluated the long-term impacts of a model for scaling up early interventions, in this case a successful early mathematics curriculum, testing to see whether the originally-sustained impacts persisted up to 7 years beyond baseline. The original evaluation of TRIAD (Technology-enhanced, Research-based, Instruction, Assessment, and professional Development) employed a cluster randomized trial (CRT) design to test the effectiveness of the TRIAD scale-up approach, using the Building Blocksʼ early mathematics curriculum (BB) in preschool. In this evaluation, 42 schools were randomly assigned to three groups. One of the groups was a business-as-usual control (CTRL). In preschool, the other two conditions were identical and entailed TRIAD scale-up (intensive training, coaching focused on both BB curriculum and linked assessment and online professional development). After preschool, one of the treatment conditions included follow-through professional development through 1st grade, including knowledge of the intervention and ways to build upon that knowledge using learning trajectories (TRIAD Follow-Through or TRIAD-FT) while the other condition implemented business-as-usual control (TRIAD Non-follow-through or TRIAD-NFT). Students in the two treatment conditions significantly outperformed their peers in the control condition through 1st grade. The primary purpose of the current investigation was to examine the long-term effects of the early mathematics curriculum, but the secondary aim was to explore whether the TRIAD scale-up approach itself, which included aligned professional development for kindergarten and 1st grade teachers, also enhanced the effects of the pre-K curriculum beyond 1st grade. Research questions were as follows: (1) What are the differences in the average math achievement of the three original study groups (TRIAD-NFT, TRIAD-FT, and CTRL) in 3rd, 4th, and 5th grade; (2) Do the differences in the 3rd, 4th, and 5th grade math achievement of the original study groups vary by the socio-economic and racial/ethnic backgrounds of the students in the groups; (3) What are the differences in the 3rd, 4th, and 5th grade math achievement of the subset of children who remained in the group to which their original school was randomly assigned throughout the intervention period (pre-K through 1st grade); and (4) Do the differences in the in the 3rd, 4th, and 5th grade math achievement of the subset of children who remained in the group to which their original school was randomly assigned throughout the intervention period (pre-K through 1st grade) vary by the students' socio-economic status and racial/ethnic backgrounds? Figure 1 presents results addressing the first research question that pertain to the differences between the three groups at the end of pre-K through 5th grade. Figures 2a and 2b inform the second research question and show the effects of the FT and NFT conditions separately for African-American, Hispanic, other minority, and white students. Figures 3a and 3b show the FT and NFT effect estimates separately for the low and high SES subgroups formed based on students' eligibility for FRPL. Figures 4, 5a, 5b, 6a, and 6b inform the 3rd and 4th research questions and show parallel results for the stayers (students who stayed in the original conditions between pre-K and 1st grade). Impacts at the end of 5th grade were statistically significant and considerably larger than impacts in 3rd and 4th grade for both conditions and all subgroups. Tables and figures are appended.


The Impact of Reform Instruction on Student Mathematics Achievement

The Impact of Reform Instruction on Student Mathematics Achievement

Author: Thomas A. Romberg

Publisher: Routledge

Published: 2008-08-15

Total Pages: 198

ISBN-13: 1135855706

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Summarizing data derived from a study of the implementation of one standards-based middle school curriculum program, Mathematics in Context, this book demonstrates the challenges of conducting comparative longitudinal research in the reality of school life.


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

Author: Betts, Anastasia Lynn

Publisher: IGI Global

Published: 2022-02-11

Total Pages: 860

ISBN-13: 1799886514

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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.


Early Childhood Mathematics Education Research

Early Childhood Mathematics Education Research

Author: Julie Sarama

Publisher: Routledge

Published: 2009-04-01

Total Pages: 424

ISBN-13: 1135592500

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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.


The Development of Early Childhood Mathematics Education

The Development of Early Childhood Mathematics Education

Author:

Publisher: Academic Press

Published: 2017-08-24

Total Pages: 324

ISBN-13: 0128134496

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The Development of Early Childhood Mathematics Education, Volume 53 in the Advances in Child Development and Behavior series, includes chapters that highlight some of the most recent research in the field of developmental psychology. Users will find updated chapters on a variety of topics, including sections on The DREME Network: Research and Interventions in Early Childhood Mathematics, The Use of Concrete Experiences in Early Childhood Mathematics Instruction, Interventions in Early Mathematics: Avoiding Pollution and Dilution, Coaching in Early Mathematics, and Designing Studies to Test Causal Questions About Early Math: The Development of Making Pre-K Count. Each chapter provides in-depth discussions, with this volume serving as an invaluable resource for developmental or educational psychology researchers, scholars and students. - Contains chapters that highlight some of the most recent research in the area of child development and behavior - Presents a wide array of topics that are discussed in detail


Researching and Using Progressions (Trajectories) in Mathematics Education

Researching and Using Progressions (Trajectories) in Mathematics Education

Author:

Publisher: BRILL

Published: 2019-02-04

Total Pages: 255

ISBN-13: 9004396446

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The relationship between research and practice has long been an area of interest for researchers, policy makers, and practitioners alike. One obvious arena where mathematics education research can contribute to practice is the design and implementation of school mathematics curricula. This observation holds whether we are talking about curriculum as a set of broad, measurable competencies (i.e., standards) or as a comprehensive set of resources for teaching and learning mathematics. Impacting practice in this way requires fine-grained research that is focused on individual student learning trajectories and intimate analyses of classroom pedagogical practices as well as large-scale research that explores how student populations typically engage with the big ideas of mathematics over time. Both types of research provide an empirical basis for identifying what aspects of mathematics are important and how they develop over time. This book has its origins in independent but parallel work in Australia and the United States over the last 10 to 15 years. It was prompted by a research seminar at the 2017 PME Conference in Singapore that brought the contributors to this volume together to consider the development and use of evidence-based learning progressions/trajectories in mathematics education, their basis in theory, their focus and scale, and the methods used to identify and validate them. In this volume they elaborate on their work to consider what is meant by learning progressions/trajectories and explore a range of issues associated with their development, implementation, evaluation, and on-going review. Implications for curriculum design and future research in this field are also considered. Contributors are: Michael Askew, Tasos Barkatsas, Michael Belcher, Rosemary Callingham, Doug Clements, Jere Confrey, Lorraine Day, Margaret Hennessey, Marj Horne, Alan Maloney, William McGowan, Greg Oates, Claudia Orellana, Julie Sarama, Rebecca Seah, Meetal Shah, Dianne Siemon, Max Stephens, Ron Tzur, and Jane Watson.


Learning Trajectories for Teachers

Learning Trajectories for Teachers

Author: Paola Sztajn

Publisher: Teachers College Press

Published: 2019

Total Pages: 177

ISBN-13: 0807777811

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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


Play and Curriculum

Play and Curriculum

Author: Myae Han

Publisher: Rowman & Littlefield

Published: 2019-11-01

Total Pages: 229

ISBN-13: 0761871772

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Educators have long been pursuing and applying ways that play can be a context and even a medium for teaching and learning. Volume 15 of Play & Culture Studies focuses on the special topic on Play and Curriculum, a long waited topic to many educators and researchers in the field of play and education. This volume includes chapters reporting recent studies and practical ideas examining the relations between the play and curriculum from early education to higher education. The volume has 3 sections with the 9 chapters grouped to represent various voices on play and curriculum: in Culture, in STEM, in Higher Education. The uniqueness of this book is represented by its breadths and depths of diversity from investigating play and curriculum in an indigenous group in Columbia to play in a New York City Public school and from play and curriculum in a Family Child Care context to the uses of play with college students.