Making Sense of Number, K–10


Book Description

This practical book shows you how to get to know the needs and abilities of your students and help them make sense of math concepts. Designed to enhance your professional learning, the book shows you how to notice, interpret, confirm, and respond to student thinking. You will discover how to structure learning experiences around key number concepts — quantity, counting, relating, and representing — developed across various strands: patterning and algebra, numbers and operations, measurement, geometry, and data and probability. Powerful examples of questions and prompts guide you to create a classroom where students get the support they need as they develop confidence in their number sense.




It Makes Sense!


Book Description

"Ten-frames are a model to help students efficiently gain and develop an understanding of addition and subtraction. The classroom-tested routines, games, and problem-solving lessons in this book use ten-frames to develop students' natural strategies for adding numbers and fit into any set of state standards or curriculum"--Provided by publisher.




Making Numbers Make Sense


Book Description

This extensive collection of hands-on activities helps students develop their number sense and basic mathematical comprehension. Lessons in place value, statistics, measurement, and estimation all adhere to the NCTM standards for teaching math.




Number Sense Routines


Book Description

Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.




Mathematizing Student Thinking


Book Description

How can you broaden student thinking and help them develop their independence and confidence as problem solvers? Real-life problems are a remarkable tool to stretch student thinking and help them develop a deeper understanding of mathematics and its role in everyday life. Rather than using textbook exercises, the book argues that solving real-world problems promotes flexibility and encourages students to adjust and grow their thinking. It inspires them to consider alternatives and apply math in authentic contexts. You will find practical ways to engage students in critical thinking, develop their independence, and make connections with the world.




Making Sense of Statistical Methods in Social Research


Book Description

Making Sense of Statistical Methods in Social Research is a critical introduction to the use of statistical methods in social research. It provides a unique approach to statistics that concentrates on helping social researchers think about the conceptual basis for the statistical methods they′re using. Whereas other statistical methods books instruct students in how to get through the statistics-based elements of their chosen course with as little mathematical knowledge as possible, this book aims to improve students′ statistical literacy, with the ultimate goal of turning them into competent researchers. Making Sense of Statistical Methods in Social Research contains careful discussion of the conceptual foundation of statistical methods, specifying what questions they can, or cannot, answer. The logic of each statistical method or procedure is explained, drawing on the historical development of the method, existing publications that apply the method, and methodological discussions. Statistical techniques and procedures are presented not for the purpose of showing how to produce statistics with certain software packages, but as a way of illuminating the underlying logic behind the symbols. The limited statistical knowledge that students gain from straight forward ′how-to′ books makes it very hard for students to move beyond introductory statistics courses to postgraduate study and research. This book should help to bridge this gap.




Making Sense of Mathematics for Teaching, Grades 3-5


Book Description

Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals




Building Number Sense


Book Description

Building Number Sense Games & Activities to Practice Combinations to 10 Catherine Jones Kuhns Repeated practice of number combinations to 10 is critical for young students. Keep that practice fresh and fun all year long with these inventive activities that require them to take off their shoes, toss coins, and oink like pigs! (K-1) 72 pp. including 8 pp. of full-color pull-outs




Making Sense of Mathematics for Teaching


Book Description

"With Making sense of mathematics for teaching grades K-2: the TQE process, participants have the opportunity to engage in mathematics as learners. This unscripted video program addresses three specific goals: (1) to explore meaningful tasks as learners of mathematics for teaching, (2) to make sense of the TQE process (tasks, questioning, and evidence), and (3) to create a shared vision of classrooms where teachers are supporting the TQE process and students are engaged in meaningful mathematics learning experiences. The program accomplishes these goals through the use of challenging tasks for teachers, effective questions related to classroom content, and classroom video showing tasks modeled during instruction."--Container




Delphi Collected Works of Eusebius (Illustrated)


Book Description

A scholar of the Biblical canon, Eusebius of Caesarea became counsellor of Constantine the Great and is regarded as an extremely learned Christian of the fourth century. Today his fame chiefly rests as a historian, whose pioneer work ‘Ecclesiastical History’ provides a chronological account of the development of Early Christianity from the first century to the fourth century. Eusebius also wrote an informative ‘Life of Constantine’, famously narrating the emperor’s victory at the Battle of the Milvian Bridge and his dramatic conversion to Christianity. Delphi’s Ancient Classics series provides eReaders with the wisdom of the Classical world, with both English translations and original Greek texts. This comprehensive eBook presents Eusebius’ collected works in English translation, with illustrations, informative introductions and the usual Delphi bonus material. (Version 1) * Beautifully illustrated with images relating to Eusebius’ life and works * Features all of the major works of Eusebius in English translation * Includes the Greek text of Eusbeius’ ‘Historia ecclesiastica’ * Concise introductions to the major works * Rare translations provided by contributors to www.tertullian.org * Excellent formatting of the texts * Easily locate the sections you want to read with individual contents tables * Features a bonus biography — discover Eusebius’ ancient world Please visit www.delphiclassics.com to explore our range of Ancient Classics titles or buy the entire series as a Super Set CONTENTS: The Translations Chronicle (Translated by Andrew Smith) Six Selected Passages from ‘Commentary on the Psalms’ (Translated by Fr. Alban Justinus) Against Hierocles (Translated by F.C. Conybeare, Loeb Classical Library, 1912) The Proof of the Gospel (Translated by W. J. Ferrar, 1920) On the Celebration of Easter (Translated by Andrew Eastbourne) Encomium on the Martyrs (Translated by B. H. Cowper, 1864) The History of the Martyrs in Palestine (Translated by William Cureton, 1861) Ecclesiastical History (Translated by Arthur Cushman McGiffert) Life of Constantine (Translated by Ernest Cushing Richardson, 1890) Letter to Carpianus on the Gospel Canons (Translated by Mark DelCogliano) Concerning the Place Names in Sacred Scripture (Translated by C. Umhau Wolf) The Preparation of the Gospel (Translated by E.H. Gifford, 1903) Theophania (Translated by Samuel Lee, 1843) On the Star (Spurious) (Translated by William Wright, 1866) The Greek Text Historia ecclesiastica The Biography The Life and Writings of Eusebius of Cæsarea by Arthur Cushman McGiffert Please visit www.delphiclassics.com to browse through our range of exciting titles