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Values and Valuing in Mathematics Education Scanning and Scoping the Territory
This engaging open access book discusses how a values and valuing perspective can facilitate a more effective mathematics pedagogical experience, and allows readers to explore multiple applications of the values perspective across different education systems. It also clearly shows that teaching mathematics involves not only reasoning and feelings, but also students’ interactions with their cu…
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Invited Lectures from the 13th International Congress on Mathematical Education
Mathematics Education; Mathematics Learning; Mathematics Teaching; Mathematics Teachers; ICME-13; 13th Congress on Mathematical Education; Empirical Studies in Mathematics Education; Theoretical Reflections on Mathematics Education; Tertiary Mathematics Education; Secondary Mathematics Education; Primary Mathematics Education; Society of Didactics of Mathematics; Mathematics Educators; Improvem…
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- 9783319721699
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- X, 786 halaman
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- ICME-13 Monographs
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- 510 INV
A Geometric Approach to Homology Theory
The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories. The central idea is that of a 'mock bundle', which is the geometric cocycle of a general cobordism theory, and the main new result is that any homology theory is a generalized bordism theory. The book will interest mathematicians working in both piecewise linear and algebraic topology …
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- 9780511662669
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- London Mathematical Society Lecture Note Series (18)
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Uncertainty The Soul of Modeling, Probability & Statistics
This book presents a philosophical approach to probability and probabilistic thinking, considering the underpinnings of probabilistic reasoning and modeling, which effectively underlie everything in data science. The ultimate goal is to call into question many standard tenets and lay the philosophical and probabilistic groundwork and infrastructure for statistical modeling. It is the first book…
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- 978-3-319-39756-6
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Early Algebra : Research into Its Nature, Its Learning, Its Teaching
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…
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- 9783319322575
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- VIII, 42 halaman
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- ICME-13 Topical Surveys
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- 510 KIE E
Design Science and Its Importance in the German Mathematics Educational Discu…
This ICME-13 Topical Survey reviews the state-of-the-art by first exploring the roots and scope of design science. Second, it presents two examples of current design science projects that focus on substantial learning environments including a student and a teacher perspective. Subsequently, the book elaborates on how empirical research can be conceptualised within design science. Lastly, it exp…
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- 9783319435411
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- VII, 43 halaman
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- ICME-13 Topical Surveys
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- 370 NUH d
A Gentle Introduction to Homological Mirror Symmetry
Homological mirror symmetry has its origins in theoretical physics but is now of great interest in mathematics due to the deep connections it reveals between different areas of geometry and algebra. This book offers a self-contained and accessible introduction to the subject via the representation theory of algebras and quivers. It is suitable for graduate students and others without a great de…
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- 9781108692458
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- London Mathematical Society Student Texts (99)
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A Gentle Course in Local Class Field Theory
This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fundamental topics in algebra, such as profinite groups, p-adic fields, semisimple algebras and their modules, and homological algebra with the example of group cohomology. The book culminates with the description of the abelian extensions …
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- 9781108377751
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UK Success Stories in Industrial Mathematics
This publication showcases the work of UK mathematicians and statisticians by describing industrial problems that have been successfully solved, together with a summary of the financial and/or societal impact that arose from the work. The articles are grouped by sector, and include contributions to climate modelling, engineering and health. The articles are based on Impact Case Studies that wer…
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- 978-3-319-25454-8
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Finite Difference Computing with Exponential Decay Models
This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study – an ordinary differential equation describing exponential decay processes – to illustrate fundamental concepts in mathematics and computer science. The book i…
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- 9783319485133
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- XIV, 200 halaman
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- Lecture Notes in Computational Science and Engineering
- Call Number
- 005 LAN f
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