Examples Of Patterns Functions And Algebra
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Primary Algebra
Grok patterns of smiley faces. Crank answers out of a "function machine." Solve Sudoku puzzles and "math jokes" (riddles students answer by solving problems). Balance a scale so the dominoes on one side match the dominoes on the other side. Correlated to NCTM and Common Core standards, hands-on activities and concrete manipulatives help students learn how to generalize math problems by using variables, seeing patterns and functions in concrete ways, and grasping the concept of equivalence (accomplished by the metaphor of balancing scales). The teacher book offers teaching procedures and reproducible worksheets; the student book conveniently binds one student's worksheets together. Grades K-5. Illustrated. Good Year Books. 139 pages. 2011 revised edition.
Secondary Algebra Education: Revisiting Topics and Themes and Exploring the Unknown
Author: Paul Drijvers
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-10-19
Nowadays, algebra education is subject to worldwide scrutiny. Different opinions on its goals, approaches and achievements are at the heart of debates among teachers, educators, researchers and decision makers. What should the teaching of algebra in secondary school mathematics look like? Should it focus on procedural skills or on algebraic insight? Should it stress practice or integrate technology? Do we require formal proofs and notations, or do informal representations suffice? Is algebra in school an abstract subject, or does it take its relevance from application in (daily life) contexts? What should secondary school algebra education that prepares for higher education and professional practice in the twenty-first century look like? This book addresses these questions, and aims to inform in-service and future teachers, mathematics educators and researchers on recent insights in the domain, and on specific topics and themes such as the historical development of algebra, the role of productive practice, and algebra in science and engineering in particular. The authors, all affiliated with the Freudenthal Institute for Science and Mathematics Education in the Netherlands, share a common philosophy, which acts as a ? sometimes nearly invisible ? backbone for the overall view on algebra education: the theory of realistic mathematics education. From this point of departure, different perspectives are chosen to describe the opportunities and pitfalls of today’s and tomorrow’s algebra education. Inspiring examples and reflections illustrate current practice and explore the unknown future of algebra education to appropriately meet students’ needs.
Teaching Young Children Mathematics
Teaching Young Children Mathematics provides a comprehensive overview of mathematics instruction in the early childhood classroom. Taking into account family differences, language barriers, and the presence of special needs students in many classrooms throughout the U.S., this textbook situates best practices for mathematics instruction within the larger frameworks of federal and state standards as well as contemporary understandings of child development. Key topics covered include: developmental information of conceptual understanding in mathematics from birth through 3rd grade, use of national and state standards in math, including the new Common Core State Standards, information for adapting ideas to meet special needs and English Language Learners, literacy connections in each chapter, ‘real-world’ connections to the content, and information for family connections to the content.