What Matters Research Trends in International Comparative Studies in Mathematics Education

Mathematics

Canonical Duality Theory: Unified Methodology for Multidisciplinary Study By David Yang Gao, Vittorio Latorre, Ning Ruan
Numerical Models for Differential Problems, Third Edition By Alfio Quarteroni
What Matters? Research Trends in International Comparative Studies in Mathematics Education (Research in Mathematics Education) by Ji-Won Son
College Geometry: Using the Geometer’s Sketchpad by Barbara E. Reynolds and William E. Fenton
“Science Education: Research and New Technologies” ed. by Antonio Vanderlei Dos Santos and Joao Carlos Krause

Canonical Duality Theory: Unified Methodology for Multidisciplinary Study By David Yang Gao, Vittorio Latorre, Ning Ruan

English | PDF,EPUB | 2017 | 374 Pages | ISBN : 3319580167 | 15.93 MB

This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in multidisciplinary fields in engineering, mathematics, and the sciences.
This volume places a particular emphasis on canonical duality theory’s role in bridging the gap between non-convex analysis/mechanics and global optimization.
With 18 total chapters written by experts in their fields, this volume provides a nonconventional theory for unified understanding of the fundamental difficulties in large deformation mechanics, bifurcation/chaos in nonlinear science, and the NP-hard problems in global optimization. Additionally, readers will find a unified methodology and powerful algorithms for solving challenging problems in complex systems with real-world applications in non-convex analysis, non-monotone variational inequalities, integer programming, topology optimization, post-buckling of large deformed structures, etc. Researchers and graduate students will find explanation and potential applications in multidisciplinary fields.

Numerical Models for Differential Problems, Third Edition By Alfio Quarteroni

English | PDF | 2017 | 690 Pages | ISBN : 3319493159 | 26.69 MB

In this text, we introduce the basic concepts for the numerical modeling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations.
We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.

What Matters? Research Trends in International Comparative Studies in Mathematics Education (Research in Mathematics Education) by Ji-Won Son

English | 13 Apr. 2017 | ISBN: 3319511858 | 432 Pages | EPUB | 1.95 MB

This book provides a unique international comparative perspective on diverse issues and practices in mathematics education between and among the US and five high-performing TIMSS education systems, Japan, China, Singapore, South Korea, and Taiwan. The book offers multiple perspectives on the important factors that contribute to mathematics teaching and learning in different educational systems and cultural contexts. Using large scale data generated by numerous international comparative studies, the book analyzes and provides context for various methodological perspectives.
The book raises compelling questions and issues for mathematics education researchers, leading to a critical examination of what can be learned from other education systems. Authors address four major research perspectives by critically examining cross-national similarities and differences, such as research on the influence of curriculum on student learning; research on institutional systems of mathematics teacher education; research on improving teacher knowledge and pedagogical approaches; and research using large-scale data. This collection of perspectives serves as a foundation for reviewing and analyzing the international comparative studies introduced in the book.

College Geometry: Using the Geometer’s Sketchpad by Barbara E. Reynolds and William E. Fenton

English | 2011 | ISBN: 0470534931 | 380 pages | PDF | 4,4 MB

From two authors who embrace technology in the classroom and value the role of collaborative learning comes College Geometry Using The Geometer’s Sketchpad. The book’s truly discovery-based approach guides readers to learn geometry through explorations of topics ranging from triangles and circles to transformational, taxicab, and hyperbolic geometries. In the process, readers hone their understanding of geometry and their ability to write rigorous mathematical proofs.

“Science Education: Research and New Technologies” ed. by Antonio Vanderlei Dos Santos and Joao Carlos Krause

ITexLi | 2017 | ISBN: 9535135406 9535135392 9789535135395 9789535135401 | 170 pages | PDF | 15 MB

The book presents a discussion on education of sciences, through a technological view shown in the works of a variety of authors from different countries. It’s a differentiated conception of scientific education bringing renowned authors who discuss from teacher formation to the inclusion of new technologies into education.
The themes discussed in the book are up to date and also of scientific interest in many countries, as seen by the collaborating authors who come from many parts of the world. The scientific discussion becomes evident through the effort of the authors in participating in this book that will serve as a reference for future research for those who want to develop modern educational approaches.
Contents
1 Introductory Chapter: Science Education – Research and New Technologies
2 Mathematics Instruction Based on Science Using Didactical Phenomenology Approach in Junior Secondary School in Indonesia
3 Transformative Orientation in Learning to Teach Physics and Chemistry
4 Teaching and Learning Primary Science for Marginalised Children
5 Discussing Socioscientific Controversies in Primary and Secondary Education: Potentials and Constraints in Science Lessons
6 Electric Power System Simulator Tool in MATLAB
7 Software for Simulation of Static Switch Controllers
8 Computer Science Education and Interdisciplinarity
9 Electric Machines: Tool in MATLAB