In 1031, an Arab scientist, a Jewish astronomer and a Christian monk gather under the dome of an observatory in Spain.A foretelling written on the blade of a knife tells of a new ruler, whose power will come from the knowledge in a centuries old book. As its guardians begin to covet this knowledge for themselves, the book is drawn into the conflict between the houses of Wessex and Godwin, and England’s destiny. It will carry a secret at the heart of the succession to the English th...

At Fromelles in July 1916 two divisions – one British and one Australian – within a few weeks of arriving in France – went into action for the first time. Their task was to prevent the Germans from moving troops to the Somme where a major British offensive was in progress, but the attack on 19/20 July was a disaster with nearly 7,000 casualties in a few hours. This account explores this battle which for many epitomises the futility of the Great War. In those few hours many...

A first-in-field compilation of best practices for the design and implementation of practical measurement for improvement in K-12 education

The Big Bang and the Holy Trinity explores how science and Christianity together provide an explanation of the story of humankind to date and a vision for our future. Biblical accounts of the creation of the universe and the nature of God are used to show how science has shone a new light on the truths they contain.The Big Bang and the Holy Trinity takes the stance that the disciplines of science and theology are mutually enriching. A trinitarian view of the Creat...

This book grew out of a five-year collaboration between groups of American and German mathematics educators. The central issue addressed accounting for the messiness and complexity of mathematics learning and teaching as it occurs in classroom situations. The individual chapters are based on the view that psychological and sociological perspectives each tell half of a good story. To unify these concepts requires a combined approach that takes individual students' mathematical activity seri...

In Systems for Instructional Improvement, Paul Cobb and his colleagues draw on their extensive research to propose a series of specific, empirically grounded recommendations that together constitute a theory of action for advancing instruction at scale. The authors outline the elements of a coherent instructional system; describe productive practices for school leaders in supporting teachers’ growth; and discuss the role of district leaders in developing school-le...

The studies presented in this book should be of interest to anybody concerned with the teaching of arithmetic to young children or with cognitive development in general. The 'eaching experiment· was carried out with half a dozen children entering first grade over two years in biweekly sessions. Methodologically the authors' research is original. It is a longitudinal but not a naturalistic study, since the experimenter-teachers directed their interaction with each individual child with a vi...

The first five contributions to this Special Issue on Theories of Mathematical Learning take a cognitive perspective whereas the sixth, that by Voigt, takes an interactionist perspective. The common theme that links the six articles is the focus on students' inferred experiences as the starting point in the theory-building process. This emphasis on the meanings that objects and events have for students within their experiential realities can be contrasted with approaches in which the goal ...

Chemists, working with only mortars and pestles, could not get very far unless they had mathematical models to explain what was happening "inside" of their elements of experience -- an example of what could be termed mathematical learning.This volume contains the proceedings of Work Group 4: Theories of Mathematics, a subgroup of the Seventh International Congress on Mathematical Education held at Université Laval in Québec. Bringing together multiple perspectives on mathematical t...

Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or...

This volume grew out of a symposium on discourse, tools, and instructional design at Vanderbilt University in 1995 that brought together a small international group to grapple with issues of communicating, symbolizing, modeling, and mathematizing, particularly as these issues relate to learning in the classroom. The participants invited to develop chapters for this book--all internationally recognized scholars in their respective fields--were selected to represent a wide range of theoretic...

In 1916, one million men fought in the first battle of the Somme. Victory hinged on their ability to capture a small village called Pozières. After five attempts to seize it, the British called in the Anzacs to complete this seemingly impossible task.At midnight on 23 July 1916, thousands of Australians stormed Pozières. Forty-five days later they were relieved, having suffered 23,000 casualties to gain a few miles of barren landscape. Despite the toll, the operation was heralded a...