Developing Essential Understanding Of Algebraic Thinking For Teaching Mathematics In Grades 3 5


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Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5


Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5

Author: Maria L. Blanton

language: en

Publisher:

Release Date: 2011


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Like algebra at any level, early algebra is a way to explore, analyse, represent and generalise mathematical ideas and relationships. This book shows that children can and do engage in generalising about numbers and operations as their mathematical experiences expand. The authors identify and examine five big ideas and associated essential understandings for developing algebraic thinking in grades 3-5. The big ideas relate to the fundamental properties of number and operations, the use of the equals sign to represent equivalence, variables as efficient tools for representing mathematical ideas, quantitative reasoning as a way to understand mathematical relationships and functional thinking to generalise relationships between covarying quantities. The book examines challenges in teaching, learning and assessment and is interspersed with questions for teachers’ reflection.

Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5


Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5

Author: Carne Barnett-Clarke

language: en

Publisher: National Council of Teachers of English

Release Date: 2010


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What is the relationship between fractions and rational numbers? Can you explain why the product of two fractions between 0 and 1 is less than either factor? How are rational numbers related to irrational numbers, which your students will study in later grades? How much do you know… and how much do you need to know? Helping your upper elementary school students develop a robust understanding of rational numbers requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about rational numbers. It is organised around four big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to rational numbers, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.

Planting the Seeds of Algebra, 3-5


Planting the Seeds of Algebra, 3-5

Author: Monica Neagoy

language: en

Publisher: Corwin Press

Release Date: 2014-12-23


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'Planting the Seeds of Algebra, 3-5' will empower teachers with theoretical and practical knowledge about both the content and pedagogy of algebraic instruction, and shows them the different faces of algebra as it appears in the early grades.