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Number Theory in Mathematics Education
This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics t...
Spatial Reasoning in the Early Years
Over the past several years, "spatial reasoning" has gained renewed prominence among mathematics educators, as spatial skills are proving to be not just essential to mathematical understanding but also strong predictors of future success beyond the classroom in fields such as science, technology, and engineering. By exploring both primary and emergent dimensions, Spatial Reasoning in the Early Years helps define the concept of spatial reasoning and provides compelling evidence of the need for a clear focus within early education specifically. The authors review the research, look across current theories, and investigate implications for contemporary school mathematics pedagogy as they identi...
STEM Teachers and Teaching in the Digital Era
This book brings together researchers from Israel and Canada to discuss the challenges today's teachers and teacher‐educators face in their practice. There is a growing expectation that the 21st century STEM teachers re‐examine their teaching philosophies and adjust their practices to reflect the increasing role of digital technologies. This expectation presents a significant challenge to teachers, who are often asked to implement novel technology‐rich pedagogies they did not have a chance to experience as students or become comfortable with. To exacerbate this challenge, the 21st century teachers function not only in a frequently‐changing educational reality manifested by continuous...
Dialogues on Agential Realism
Dialogues on Agential Realism is built up around dialogues with key scholars in the field: Magdalena Górska, Astrid Schrader, Elizabeth de Freitas, Ericka Johnson and Karen Barad. The book investigates agential realist-inspired research practices and provides illustrations of what response-able knowledge production may involve. Based on thorough readings of the scholars’ work, careful dialogues concerning the challenges, messiness, thrill and inventiveness of research processes are brought to the fore. The dialogues with Górska, Schrader, de Freitas and Johnson were based on specific research projects, which drew inspiration from agential realist theory, in combination with the ideas of ...
I Can't Do Maths!
An insightful, myth-busting book based on one core belief: maths doesn't have to be scary! Exploring the many myths around teaching and learning mathematics, this book offers practical strategies to implement new ways of thinking and inspire teacher and pupil confidence in every primary maths lesson. Whether you're an ECT finding your way around the maths curriculum, or an experienced teacher looking to boost your practice, this book is full of in-depth case studies, inventive lesson ideas and easy-to-digest theory to make maths enjoyable and accessible for you and your pupils. From 'maths is always right or wrong' to 'maths is for some people not others', Professor Alf Coles and Professor N...
A Journey Through Math-Land
If you look at math by eyes you see symbols, by brain knowledge, by heart truth, and by soul God. This book is about flying over math-land, enjoying the view, and landing safely. It seems inconceivable how much we rely on mathematics/numbers in our daily lives and how natural it feels. Our birth is announced by a set of numbers representing the time, date, and our height and weight. We become a functioning member of society only after a Social Security number is assigned to us. Our health and fitness are evaluated using numbers representing our blood pressure, heart rate, body temperature, and so on. From that point onward, every action performed and every life encountered becomes part of our ongoing use of mathematics/numbers. This book traces applications of mathematics. The goal is to find a way to delight readers about the discipline and open the door for them to see its beauty by presenting a variety of applications. It is particularly useful for the individuals with some mathematics background or interests.
From Analysis to Visualization
Students and researchers from all fields of mathematics are invited to read and treasure this special Proceedings. A conference was held 25 –29 September 2017 at Noah’s On the Beach, Newcastle, Australia, to commemorate the life and work of Jonathan M. Borwein, a mathematician extraordinaire whose untimely passing in August 2016 was a sorry loss to mathematics and to so many members of its community, a loss that continues to be keenly felt. A polymath, Jonathan Borwein ranks among the most wide ranging and influential mathematicians of the last 50 years, making significant contributions to an exceptional diversity of areas and substantially expanding the use of the computer as a tool of the research mathematician. The contributions in this commemorative volume probe Dr. Borwein's ongoing legacy in areas where he did some of his most outstanding work: Applied Analysis, Optimization and Convex Functions; Mathematics Education; Financial Mathematics; plus Number Theory, Special Functions and Pi, all tinged by the double prisms of Experimental Mathematics and Visualization, methodologies he championed.
Digital Curricula in School Mathematics
The mathematics curriculum is influenced by digital technology in delivery and practice. This volume, from a 2014 University of Chicago conference, explores changes in curricular materials, student learning, and teacher roles. Experts discuss how technology impacts math education, challenging traditional paper-and-pencil methods.
Mathematical Reviews
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Time and Education
Despite pervading all aspects of educational practice and theory, little scholarship focuses on time in education. This book addresses that lacuna questioning our assumptions about time and their ramifications on theories of learning, issues of equity and diversity, and on the purposes of education itself. The authors examine ideas about time in a wide variety of contexts, from ancient Greek fiction to 19th century theories of evolution and from 20th century indigenous stories to 20th century afro-futurist fiction. They show how pervasive the image of 'time as an arrow' has become, an image of time that is one-way, singular and teleological. Through exploring other theories of time, the auth...
