Evolution: Its Nature

This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student, aged from about 6 years up to 12 years, this volume reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field.

This book offers support for interdisciplinary research on the interactions of nature and society. It is based on the hypothesis that a science of coevolution is needed to explore paths to a sustainable future. Jens Jetzkowitz initially discusses why social science knowledge only rarely finds its way into sustainability discourse. One significant issue is a view of science that separates knowing and acting, and the book illustrates current problems in conceptualising interdisciplinary knowledge production. It then goes one step further and introduces a workable alternative concept, taking philosophical pragmatism as a point of departure. Sustainable development goals and transdisciplinarity are currently subject to widespread discussions and Jetzkowitz takes a stance on the debates from the perspective of coevolutionary science.

Huxley's classic lecture on evolution, human nature, and the way to true happiness

Huxley's classic lecture on evolution, human nature, and the way to true happiness

Huxley's classic lecture on evolution, human nature, and the way to true happiness

This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student, aged from about 6 years up to 12 years, this volume reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field. The survey, in presenting examples drawn from the steadily growing research base, highlights both the nature of algebraic thinking and the ways in which this thinking is being developed in the primary and early middle school student. Mathematical relations, patterns, and arithmetical structures lie at the heart of early algebraic activity, with processes such as noticing, conjecturing, generalizing, representing, justifying, and communicating being central to students’ engagement.