"This book offers an innovative introduction to the psychological basis of mathematics and the nature of mathematical thinking and learning, using an approach that empowers students by fostering their own construction of mathematical structures. Through accessible and engaging writing, award-winning mathematician and educator Anderson Norton reframes mathematics as something that exists first in the minds of students, rather than something that exists first in a textbook. By exploring the psychological basis for mathematics at every level - including geometry, algebra, calculus, complex analysis and more - Norton unlocks students personal power to construct mathematical objects based on their own mental activity, and illustrates the power of mathematics in organizing the world as we know it. Including reflections and activities designed to inspire awareness of the mental actions and processes coordinated in practicing mathematics, the book is geared towards current and future secondary and elementary mathematics teachers who will empower the next generation of mathematicians and STEM majors. Those interested in the history and philosophy that underpins mathematics will also benefit from this book, as well as those informed and curious minds attentive to the human experience more generally. Anderson Norton is Professor in the Department of Mathematics at Virginia Tech, USA, where he has been teaching mathematics courses for future teachers for 15 years. He is the editor of Constructing Number, and the co-author of Developing Fractions Knowledge and Numeracy for All Learners"--

The Psychology of Mathematics: A Journey of Personal Mathematical Empowerment for Educators and Curious Minds

Science & Math

Norton, Anderson

Mathematics

Routledge

The Psychology of Mathematics

Developing Fractions Knowledge (Math Recovery)

Supporting and understanding your students’ fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralizing around three key stages of development, this effective guide will help you to assess your students’ understanding of fractions and modify your teaching accordingly. These key stages are identified as: 
<ul>
<li>Stage 1a: Fair Sharing</li> <li>Stage 1b: Part-Whole</li> <li>Stage 2a: Disembedding and IteratingStage 2b: Measuring with Unit Fractions</li> <li>Stage 2c: Reversing Fractions</li> <li>Stage 3a: Fractions as Numbers</li> <li>Stage 3b: Operating with Fractions</li> </ul> As the newest addition to the bestselling Maths Recovery Series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.

Education & Teaching

Hackenberg, Amy J

Wright, Robert J.

Schools & Teaching

Sage Publications Ltd.

Numeracy for All Learners: Teaching Mathematics to Students with Special Needs (Math Recovery)

Numeracy for All Learnersis a wide-ranging overview of how Math Recovery® theory, pedagogy, and tools can be applied meaningfully to special education to support learners with a wide range of educational needs. It builds on the first six books in the Math Recovery series and presents knowledge, resources, and examples for teachers working with students with special needs from Pre-K through secondary school. Key topics include: dyscalculia, what contemporary neuroscience tells us about mathematical learning, and differentiating assessment and instruction effectively to meet the needs of all students in an equitable framework.

Tabor, Pamela D

Dibley, Dawn

Corwin UK

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