This resource will help school leaders and other professional development providers conduct ongoing, structured learning opportunities for mathematics teachers (K–12). The authors present models for professional development and the preparation of PD leaders designed and field-tested as part of two research projects supported by the National Science Foundation. The Problem-Solving Cycle model and the Mathematics Leadership Preparation model focus on topics of primary interest to mathematics...

These simple math secrets and tricks will forever change how you look at the world of numbers.Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head fast...

If you're looking for a gentle introduction to basic mathematics, look no further. This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required.Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents use the "Look Inside" feature. Fr...

Learning how to tell news from fake news from fake fake news: An "important and timely" book on protecting ourselves, and society, from the infodemic ( Library Journal).We have billions of bytes of data at our fingertips. But how much of it is misinformation—or even disinformation? A lot of it is, and your search engine can't tell the difference.As a result, an avalanche of misinformation threatens to overwhelm the discourse we so desperat...

The third edition of this bestselling book for teachers of secondary mathematics has been brought right up to date and benefits from an extra teacher voice. Together, the authors show how active learning and introducing an element of surprise can bring mathematics alive.With a firm focus on problem solving, independent exploration, thinking skills and applying maths to real-life situations, this book contains new ideas, anecdotes and strategies including brand new chapters on funct...

This classic text presents problems of learning and teaching mathematics from both a psychological and mathematical perspective. The Psychology of Learning Mathematics, already translated into six languages (including Chinese and Japanese), has been revised for this American Edition to include the author's most recent findings on the formation of mathematical concepts, different kinds of imagery, interpersonal and emotional factors, and a new model of intelligence. The author con...

Concept Mapping in Mathematics: Research into Practice is the first comprehensive book on concept mapping in mathematics. It provides the reader with an understanding of how the meta-cognitive tool, namely, hierarchical concept maps, and the process of concept mapping can be used innovatively and strategically to improve planning, teaching, learning, and assessment at different educational levels. This collection of research articles examines the usefulness of concept maps in the ...

Any way you slice it, fractions are foundationalMany students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler provides research-based tools that are aligned with NCTM and Common Core State Standards. He describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern...

The Maths Behind over 60 everyday phenomena.Have you ever wondered why traffic jams often turn out to have no cause when you get to the end of the queue? There's a mathematical explanation for that. Or ever considered whether some lotteries might be easier to win than others? There's a formula for that too. If you've ever been curious about the mathematical strings that hold our world together, then look no further than The Maths Behind.This intriguing and...

Maths Problem Solving - Year 6 is the sixth book in the Maths Problem Solving series. The books have been written for teachers to use during the numeracy lesson. They cover the 'solving problem' objectives from the numeracy framework. This book contains three chapters; Making decisions, Reasoning about numbers or shapes and Problems involving 'real life', money or measures. The books are designed in such a way that each section has six stages of questions to be worked through. Every stage ...

Raising standards in mathematics is high on government education agendas and remains a key priority for schools. Schools strive to provide an outstanding education for their pupils preparing them to compete not only in a national but an international market. At the heart of this is the classroom and the classroom teacher. So how do you plan lessons that engage and motivate students and what makes a mathematics lesson outstanding?Becoming an Outstanding Mathematics Teacher aims to h...

Trigonometry is the branch of science that studies triangles, paying particularly close attention to the measurements between the triangle's points and the angles of the triangle's three corners. Trigonometry is used for a variety of fields, including tailoring, landscaping and architecture. One great reason for people studying trigonometry to have charts is that there are many different formulas used to determine angles and measurements. Having a chart that showed different kinds of trian...