The third edition of this book offers a unique approach to making mathematics education research on the teaching and learning of fraction concepts readily accessible and understandable to pre-service and in-service K-8 mathematics teachers. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers’ experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP), and updated throughout, this engaging and easy-to-use resource also features: Two new chapters dedicated to understanding the OGAP Fraction Framework and Progression—based on research conducted with hundreds of teachers—to gather and interpret evidence of student learning along a learning progression, referenced throughout the book so readers can apply the concepts to their instruction; A close focus on student work, including 180+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding; A discussion of decimal fractions, also new to the third edition; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter Looking Back questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; Accompanying online Support Material includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression. A Focus on Fractions is part of the popular A Focus on . . . collection, designed to aid the professional development of pre-service and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and multiplication and division, this updated new edition bridges the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.
A Focus on Multiplication and Division is a groundbreaking effort to make mathematics education research readily accessible and understandable to pre- and in-service K–6 mathematics educators. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book is sure to equip educators with the knowledge and tools needed to modify their lessons and to improve student learning of multiplication and division. Special Features: Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to consider instructional strategies for their own students. Instructional Links help teachers relate concepts from each chapter to their own instructional materials and programs. Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division. Answer Key posted online offers extensive explanations of in-chapter questions. Each chapter includes sections on the Common Core State Standards for Mathematics and integrates the Ongoing Assessment Project (OGAP) Multiplicative Reasoning Progression for formative assessment purposes. Centered on the question of how students develop their understanding of mathematical concepts, this innovative book places math teachers in the mode of ongoing action researchers.
This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing Assessment Project (OGAP), A Focus on Ratios and Proportions teaches readers how students develop understanding and fluency involving ratio and proportion concepts. Special features include: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding. A focus on the OGAP Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of pieces of student work. Sections on how Common Core State Standards for Math (CCSSM) are supported by math education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and consider instructional responses. An accompanying eResource, available online, offers an answer key as well as extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on Fractions, this book is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.
On February 19, 1945, seven battalions of U.S. Marines landed on the eastern beaches of Iwo Jima. On the southernmost flank, in the shadows of Suribachi, the First Battalion, 28th Marines, stormed ashore into the bloodiest and most renowned of all battles fought by the U.S. Marine Corps. Thirty-six days later, the Marines overran the "Bloody Gorge" and dislodged the last enemy holdouts. The battle was over, but at great cost: 225 of the First Battalion's men died on Iwo Jima. Based on official reports and personal accounts, this is a day-by-day history of the First Battalion, 28th Marines, on Iwo Jima. Each chapter presents an overview of that day's combat and other relevant events, and also contains the text of that day's official regimental and battalion narratives. The text is complemented by a chronology and transcribed muster rolls for February and March 1945.
The authors conducted a prevention program called Fast Track, consisting of multicomponent, home-school prevention activities carried out with at-risk children from first to 10th grades over a 10-year period, to prevent serious antisocial behavior and youth violence and achieve positive social, emotional, and academic outcomes. They describe the research that informed the design of the program as part of their Conduct Problems Prevention Research Group, how the study was implemented, and outcomes up to 20 years later. They discuss the context for youth violence prevention in the US; the developmental and intervention research that informed the design of the program; the study design and the children and families who participated in it; interventions and impacts in elementary, middle, and high school years; early adult outcomes of the program; implications for developmental theory and research on the prevention of violence; and how communities can address the problem of future violence by focusing on high-risk young children."--Provided by publisher.
...The result of over a decade of research.... This is a groundbreaking study that will be a jumping off point for work on Churches of Christ for many years to come. Dr. Douglas A. Foster, Assistant Professor of Church History, Abilene Christian University ...An important book, carefully researched and written, and badly needed by our brotherhood.... I am delighted that it is now available to everyone concerned about our past or our future. Dr. Bill Humble, Director, Center for Restoration Studies Abilene Christian University Few people are as well-read in American Church History as Hooper.... His insights into personalities and issues come from careful research. Some will shock traditionalists, others will annoy revisionists, and all will engage serious students. Dr. Rubel Shelly, Minister, Woodmont Hills Church of Christ ...A quick-paced and engaging narrative.... In its pages the reader comes to know the giants who have shaped our fellowship. I would recommend this book to all members of the church who want to understand where we are and where we are going. Gregory A. Tidwell, Minister
Based on an exhaustive search of various sources, this book provides a comprehensive roster of all known Confederate soldiers, sailors and marines from Rockbridge County, Virginia, or those who served in units raised in the County. Washington College and Virginia Military Institute alumni who were from Rockbridge, enlisted in local companies or lived in the County before or after the war are also included. Complete service records are given, along with photographs where possible.
Sternberg's text balances accessible writing, practical applications and research scholarship, including biologically oriented information. It explores the basics of cognitive psychology through its coverage of cognitive neuroscience.
The Logan Guards and Chatham Grays were in the 53rd Virginia Infantry, one of the five regiments under Brigadier General Lewis Armistead at Pickett's Charge at Gettysburg on July 3, 1863. This book gives the storyline of the 53rd Virginia, including order of battles, prison camps endured, and casualties per battle. The book centers on finding the genealogy of the men of Pittsylvania County. Prior works by the author are two books which extensively covered the genealogy of Pittsylvania County soldiers: ""38th Virginia Infantry: Finding the Men in the 1860 Census"" and ""57th Virginia Infantry: Finding the Men in the 1860 Census"".
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