Bøger af John J. SanGiovanni

Because fluency practice is not a worksheet.Fluency in mathematics is more than basic facts or using algorithms. It is not about recall or speed. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is a matter of equity and access for all learners.The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency. It explained the seven Significant Strategies for fluency and offered a plethora of pragmatic tools for shifting classrooms toward a greater fluency approach. However, in order to become truly adept with these strategies, children must first have certain underlying foundational concepts and skills in place. Figuring Out Fluency-Ten Underlying Foundations for Reasoning Strategies with Whole Numbers explores the ideas that are essential to reasoning: Number Relationships; Subitizing and Decomposing; Distance to 10, 100, and 1,000; Counting and Skip-Counting; Properties of Addition and Its Inverse Relationship with Subtraction; Properties of Multiplication and Its Inverse Relationship with Division; Multiplying by 10s and 100s; Multiples and Factors; Doubling and Halving; and Computational Estimation. With this book, elementary teachers can Help children develop these foundational understandings, critical to reasoning and number sense. Leverage over 100 classroom-ready routines, centers, and games to develop these concepts both in first instruction, practice, and intervention. Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementationDevelop each and every students' knowledge and power to become skilled and confident mathematical thinkers and doers.

Kickstart your class with 20 different routines, all of which include content examples, extensions, and variations for grades 6-8.

Discover the "why" behind students' math mistakes with this bank of 180 downloadable, standards-aligned math tasks, common misunderstandings, and next instructional steps.

In this remarkable book, John SanGiovanni reminds us that mathematical mistakes are not random, and when we take the time to "mine the gap," we can dispel misunderstandings before they take root.

In this remarkable book, John SanGiovanni reminds us that mathematical mistakes are not random, and when we take the time to "mine the gap," we can dispel misunderstandings before they take root.