The Algebra Solution to Mathematics Reform

The Algebra Solution to Mathematics Reform

Author: Frances R. Spielhagen

Publisher: Teachers College Press

Published: 2015-04-24

Total Pages: 113

ISBN-13: 0807771821

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How can we increase mathematics achievement among all students? This book provides a straightforward explanation of how changing mathematics tracking policies to provide algebra instruction to all students by at least eighth grade can bring about changes in both student achievement and teacher performance. Spielhagen chronicles the success of a large school district that changed the way mathematics was delivered and increased success rates across all populations. Featuring interviews with students and teachers, the author shows how all stakeholders were brought into the process of changing policy from the ground up. Offering a model for success that can be replicated by other districts, this resource: Provides a comprehensive account of how mathematics policy that evolved in the United States over the last century has resulted in low math literacy among our population.Addresses the recommendations and counterpoints to the report of the National Mathematics Panel (2009).Includes real-life examples of how stakeholders responded to the policy change that revolutionized mathematics instruction in their district. Frances R. Spielhagen is associate professor of education and director of the Center for Adolescent Research and Development at Mount Saint Mary College, Newburgh, New York. “Offers an ‘elegant solution’ to a compelling problem in American society that has global implications: Who should study algebra and when? The best-practices approach should be required reading for pre-service and in-service educators and administrators alike. Readers will recognize that preparing students to learn algebra by 8th grade is as much a right as learning to read. It is a right upon which our future depends.” —Susan G. Assouline, Professor of School Psychology, Associate Director, The Connie Belin & Jacqueline N. Blank International Center for Gifted Education and Talent Development, The University of Iowa “Frances Spielhagen’s book offers a thoughtful and detailed response to one of the most important questions of our time—should all students take algebra in 8th grade? With impressive and thorough research, the author considers issues of teaching and learning, as well as curriculum and policy. For all those who care about the mathematical future of our nation’s children, this book is a must read.” —Jo Boaler, Professor of Mathematics Education, Stanford University, The School of Education “In The Algebra Solution to Mathematics Reform, Frances R. Spielhagen shows vividly and precisely how a public school system teaches children to master mathematics skills early—culminating in 8th grade algebra, a critical subject for high school graduation and college admission. Spielhagen’s book precisely demonstrates how to improve real sequential learning for students from the early grades to high school graduation, and successfully into college and life. Thus, this vital book has implications for instruction in all academic subjects, providing a living model for continuity and improvement of student learning.” —Bruce S. Cooper, Professor, Graduate School of Education, Fordham University


Advancing Knowledge and Building Capacity for Early Childhood Research

Advancing Knowledge and Building Capacity for Early Childhood Research

Author: Sharon Ryan

Publisher: American Educational Research Association

Published: 2021-01-20

Total Pages: 332

ISBN-13: 0935302832

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This volume employs a multidisciplinary approach to research on a high-profile topic very much on the agenda of state and national policy leaders: early childhood development and education. It aims to reflect how scholarly perspectives shape the contours of knowledge generation, and to illuminate the gaps that prevent productive interchange among scholars who value equity in the opportunities available to young children, their families, and teachers/caregivers. The editors and authors identify and prioritize critical research areas; assess the state of the field in terms of promising research designs and methodologies; and identify capacity-building needs and potential cross-group collaborations.


Adding It Up

Adding It Up

Author: National Research Council

Publisher: National Academies Press

Published: 2001-11-13

Total Pages: 462

ISBN-13: 0309132843

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Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning: Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction. Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics. The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.


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.