This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students' mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students' mathematical potential, quality…

The book provides an entry point for graduate students and other scholars interested in using the constructs of Piaget's genetic epistemology in mathematics education research. Constructs comprising genetic epistemology form the basis for some of the most well-developed theoretical frameworks available for characterizing learning, particularly in…

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 book seeks to illustrate the research on mathematics competencies and disposition in China according to the conceptual development and empirical investigation perspective. Mathematics education in China has a distinguishing feature a focus of attention to mathematical competency. Paradoxically, there has not been an explicit, refined, and…

This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This…

The driving forces behind mathematics learning trajectories is the need to understand how children actually learn and make sense of mathematics--how they progress from prior knowledge, through intermediate understandings, to the mathematics target understandings--and how to use these insights to improve instruction and student learning. In this…

The centennial volume of "Review of Research in Education" ("RRE") takes a "retrospective, prospective" approach on a diverse range of education research topics spanning the last 100 years. While using historical trends as foundations for their chapters, the authors also look ahead to the most challenging issues and…

For students to compete in the 21st-century global economy, knowledge of and proficiency in mathematics are critical. Whether headed to college or to the workforce, today's high school graduates need solid mathematics skill. The National Mathematics Advisory Panel was created in 2006 and charged with reviewing the best available scientific…

Educators, scholars, and researchers in the United States convened at the Forum on Early Childhood Science, Mathematics, and Technology Education to discuss how, when, and even if science, mathematics, and technology should be taught to pre-kindergarten children. The product of that forum, this book summarizes some of the latest thinking about…

This book presents issues concerning relationships between mathematical knowledge and the teaching and learning processes, focusing especially on the genesis of mathematical knowledge in the classroom. The chapter titles are: (1) The Fragility of Knowledge (Guy Brousseau and Michael Otte); (2) The Double Bind as a Didactical Trap (Stieg…

This document brings into a dialogue some of the theoretical frameworks used to study affect in mathematics education. It presents affect as a representational system, affect as one regulator of the dynamic self, affect in a socio-constructivist framework, and affect as embodied. It also evaluates these frameworks from different perspectives:…

This book is for math and science teachers who are eager to find creative and stimulating ways to engage student interest and boost their academic performance. A group of contributors including both psychologists and teachers outline the principles of social emotional learning (SEL) that educators can follow to help all students achieve in the…

This handbook brings together important mathematics education research that makes a difference in both theory and practice, research that anticipates problems and necessary knowledge before they become impediments to progress, interprets future-oriented problems into researchable issues, presents the implications of research and theory development…

This yearbook is the seventh for the Mathematics Education Research in Finland series and contains ten articles presented at the decennial jubilee colloquium. The first three articles discuss Constructivism both in general and with regard to mathematics education. Analysis is directed to the origins of constructivism, to the learning of…

This collection of essays illustrates various aspects of the recent trend to situate accounts of cognitive development. The essays examine contextual sensitivity in relation to ecological theories of perception and cognition, and contrast intuitive reasoning in mathematical and other scientific domains with the child's difficulty with reasoning in…