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Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Children in prekindergarten focus on counting and gradually master the essential one-to-one matching of an object to a number. By the end of second grade, they can represent one, two and three digit numbers, understand simple fractions and apply a variety of facts and strategies to add and subtract skilfully. This book supports this progression by inviting students to count and order ducklings in a line, compute the total cost of several items on a menu and play a variety of games that reinforce their understanding of number, addition and subtraction.
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.
As Zero searches to find his place, he learns of his additive and multiplicative identities, and then he establishes place value.
In this introduction to polygons, a triangle convinces a shapeshifter to make him a quadrilateral and later a pentagon, but discovers that where angles and sides are concerned, more isn't always better.
Learn from anywhere with these kid-friendly, teacher-reviewed activities for 2nd grade math success! This colorful workbook is jam-packed with fun activities for young learners tackling math in the second grade. Perfect for back to school--no matter what that looks like! A solid foundation of math skills is essential for success in 2nd grade and beyond. This 128-page workbook is full of engaging activities that strengthen young learners' familiarity with basic numbers and patterns. Each activity is designed to help your child become familiar with basic early math concepts like: • place values & number sense • addition & subtraction • grouping & sharing • odd & even • fractions • measurement • time & money ... and much more! With vibrant, colorful pages full of games and puzzles, 2nd Grade Basic Math Success Workbook will help your child catch up, keep up, and get ahead—and best of all, have lots of fun doing it! ***** Why Sylvan Products Work ***** Sylvan Learning Workbooks won a National Parenting Publications Awards (NAPPA) Honors Award as a top book series for children in the elementary-aged category. NAPPA is the nation’s most comprehensive awards program for children’s products and parenting resources and has been critically reviewing products since 1990. The Award recognizes Sylvan Learning Workbooks as some of the most innovative and useful products geared to parents. Sylvan's proven system inspires kids to learn and has helped children nationwide catch up, keep up, and get ahead in school. Sylvan has been a trusted partner for parents for thirty years and has based their supplemental education success on programs developed through a focus on the highest educational standards and detailed research. Sylvan’s line of educational products equips families with fun, effective, and grade-appropriate learning tools. Our workbooks and learning kits feature activities, stories, and games to reinforce the skills children need to develop and achieve their academic potential. Students will reap the rewards of improved confidence and a newfound love of learning.
This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.
Annotation This series helps teachers use the imaginative ideas in children s books for math lessons. Organized into four grade-level collections to respond to teachers specific classroom needs, this series includes favorite lessons based on a wide variety of children s books. Teachers will appreciate these books for the enjoyment and excitement they bring to math instruction. With introductions by Marilyn Burns, these books include vignettes of lessons and samples of student work. These lessons, based on popular children s books, address major mathematical topics such as addition, subtraction, multiplication, geometry, algebraic thinking, number sense, and place value.
This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.