Getting the right answers in maths is only half the problem. Understanding why what you're doing works is the part that often stumps students and teachers alike. The essential guide for mathematics teachers and those training to teach, "Yes, but Why?" answers all your questions, and sheds light on the hidden connections between…

This book summarizes new directions in mathematics education research on proving at the university level, thereby providing contemporary extensions of the sub-fields of proof that Annie and John Selden introduced to the field. The chapters each describe an emerging new area of proof research, review the relevant findings in this area, present open…

This open access book presents original research on effective and equitable teacher practice in mathematics and science education across Nordic countries. It focuses on three key aspects of teacher practice: what teachers teach, how teachers teach, and how teachers assess their students. To provide a comprehensive understanding of teacher…

This book is about promising research advancements that sparked directly or indirectly from intellectual contributions by distinguished internationally recognized mathematics educator and researcher, Edward A. Silver. The features of this book include: (1) A focus on the research areas that have benefited from Dr. Silver's intellectual…

This open access book brings together national experts from across the Dinaric region to rigorously review IEA's Trends in International Mathematics and Science Study (TIMSS) 2019 grade four data to develop a multidimensional and culturally sensitive perspective on their TIMSS 2019 primary-level results. The Dinaric region, named after the Dinaric…

This book provides a unique international comparative perspective on diverse issues and practices in mathematics education between and among the US and five high-performing TIMSS education systems, Japan, China, Singapore, South Korea, and Taiwan. The book offers multiple perspectives on the important factors that contribute to mathematics…

In this innovative book, two experienced educators present a fresh and engaging approach to mathematics learning in the middle grades with the transition from arithmetic to algebra. The authors provide a collection of balanced, multi-dimensional assessment tasks designed to evaluate students' ability to work with mathematical objects and perform…

This textbook is part one of an arithmetic course. It provides systematic drill on oral and written exercises, and review and test questions. Attention is invited to the properties of numbers, greatest common divisor, fractions, decimals, compound numbers, business arithmetic, ratio and proportion, alligation, and square and cube root, with the…

This book contains a compilation of papers presented at the International Conference on Education and New Developments (END 2017), organized by the World Institute for Advanced Research and Science (W.I.A.R.S.). Education, in our contemporary world, is a right since we are born. Every experience has a formative effect on the constitution of the…

This book grew out of a conference sponsored by the Educational Testing Service and the University of Wisconsin's National Center for Research in Mathematical Science Education that focused on assessment issues in mathematics education. The book's 16 chapters focus on clarifying and articulating the goals of assessment and instruction. They are…

The Trends in International Mathematics and Science Study (TIMSS) 2003 is the most recent in a very ambitious series of international assessments conducted in nearly 50 countries to measure trends in mathematics and science learning. The aim of TIMSS, the Trends in International Mathematics and Science Study, is to improve the teaching and…