The author gives many helpful hints for teachers so that they may have an easy start in arithmetic for their students in the K-3 group. These hints are for both home schooling teachers and classroom teachers.
In 19th century America, Joseph Ray was the McGuffey of arithmetic. His textbooks, used throughout the United States, laid the mathematical foundations for the generations of inventors, engineers and businessmen who would make the nation a world power.
"To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.
"Through a variety of activities, students gain insight into the relationship between division and multiplication and begin to see how division relates to multiple groups of equal size. Students also learn how to recognize the two types of division problems, think about remainders in different ways, and use division to solve real-world problems."--pub. desc.
We hear all the time how American children are falling behind their global peers in various basic subjects, but particularly in math. Is it our fear of math that constrains us? Or our inability to understand math’s place in relation to our everyday lives? How can we help our children better understand the basics of arithmetic if we’re not really sure we understand them ourselves? Here, G. Arnell Williams helps parents and teachers explore the world of math that their elementary school children are learning. Taking readers on a tour of the history of arithmetic, and its growth into the subject we know it to be today, Williams explores the beauty and relevance of mathematics by focusing on the great conceptual depth and genius already inherent in the elementary mathematics familiar to us all, and by connecting it to other well-known areas such as language and the conceptual aspects of everyday life. The result is a book that will help you to better explain mathematics to your children. For those already well versed in these areas, the book offers a tour of the great conceptual and historical facts and assumptions that most simply take for granted. If you are someone who has always struggled with mathematics either because you couldn’t do it or because you never really understood why the rules are the way they are, if you were irritated with the way it was taught to you with the emphasis being only on learning the rules and “recipes” by rote as opposed to obtaining a good conceptual understanding, then How Math Works is for you!
This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. The study of this core content area is often regarded as foundational for later mathematics learning. However, the principles and main goals of instruction on the foundational concepts and skills in WNA are far from universally agreed upon, and practice varies substantially from country to country. As such, this study presents a meta-level analysis and synthesis of what is currently known about WNA, providing a useful base from which to gauge gaps and shortcomings, as well as an opportunity to learn from the practices of different countries and contexts.
Beast Academy Guide 2A and its companion Practice 2A (sold separately) are the first part in the planned four-part series for 2nd grade mathematics. Book 2A includes chapters on place value, comparing, and addition.
Packed with surefire learning strategies and dozens of practice pages to sharpen computational fluency, this book provides teachers with everything they need to help students master the 200 addition and subtraction facts that lay the groundwork for building proficiency and speed in problem solving. Veteran teacher Richard Piccirilli guides teachers through five steps to teaching for math-fact mastery. These steps help students 1. Develop a concrete understanding of multiplication and division 2. Use strategies that make learning facts easier and less stressful 3. Practice the procedures and strategies 4. Do meaningful drill exercises to ensure automatic recall 5. Test for mastery so that teachers can pinpoint areas for reteaching For use with Grades 1�3.
Beast Academy Practice 3A is aligned to the 2010 Common Core State Standards for 3rd grade mathematics. The book provides over 300 problems ranging from introductory level exercises to very challenging puzzles and word problems on shape classification, skip-counting, and perimeter and area.
Beast Academy Practice 5C and its companion Guide 5C (sold separately) are the third part in the planned four-part series for 5th grade mathematics. Level 5C includes chapters on sequences, ratios & rates, and decimals.