Mathematics

Time-Varying Vector Fields and Their Flows (SpringerBriefs in Mathematics) by Saber Jafarpour

Mathematical Models of Viscous Friction (Lecture Notes in Mathematics) by Paolo Buttà

Students’ and Teachers’ Values, Attitudes, Feelings and Beliefs in Mathematics Classrooms: Selected Papers from the 22nd MAVI Conference By Hanna Palmér

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds: The Global Evolution of an Emerging Field of Research and Practice By Carolyn Kieran

Researching the History of Mathematics Education: An International Overview By Fulvia Furinghetti

Time-Varying Vector Fields and Their Flows (SpringerBriefs in Mathematics) by Saber Jafarpour

English | 11 Oct. 2014 | ISBN: 3319101382 | 128 Pages | EPUB | 2.83 MB

This short book provides a comprehensive and unified treatment of time-varying vector fields under a variety of regularity hypotheses, namely finitely differentiable, Lipschitz, smooth, holomorphic, and real analytic. The presentation of this material in the real analytic setting is new, as is the manner in which the various hypotheses are unified using functional analysis. Indeed, a major contribution of the book is the coherent development of locally convex topologies for the space of real analytic sections of a vector bundle, and the development of this in a manner that relates easily to classically known topologies in, for example, the finitely differentiable and smooth cases. The tools used in this development will be of use to researchers in the area of geometric functional analysis.

Mathematical Models of Viscous Friction (Lecture Notes in Mathematics) by Paolo Buttà

English | 5 Mar. 2015 | ISBN: 3319147587 | 152 Pages | PDF | 1 MB

In this monograph we present a review of a number of recent results on the motion of a classical body immersed in an infinitely extended medium and subjected to the action of an external force. We investigate this topic in the framework of mathematical physics by focusing mainly on the class of purely Hamiltonian systems, for which very few results are available. We discuss two cases: when the medium is a gas and when it is a fluid. In the first case, the aim is to obtain microscopic models of viscous friction. In the second, we seek to underline some non-trivial features of the motion.

Students’ and Teachers’ Values, Attitudes, Feelings and Beliefs in Mathematics Classrooms: Selected Papers from the 22nd MAVI Conference By Hanna Palmér

English | PDF,EPUB | 2017 (2018 Edition) | 153 Pages | ISBN : 3319702432 | 3.09 MB

This contributed volume is an exciting product of the 22nd MAVI conference, which presents cutting-edge research on affective issues in teaching and learning math. The teaching and learning of mathematics is highly dependent on students’ and teachers’ values, attitudes, feelings, beliefs and motivations towards mathematics and mathematics education. These peer-reviewed contributions provide critical insights through their theoretically and methodologically diverse analyses of relevant issues related to affective factors in teaching and learning math and offer new tools and strategies by which to evaluate affective factors in students’ and teachers’ mathematical activities in the classroom.

Among the topics discussed:

The relationship between proxies for learning and mathematically related beliefs.

Teaching for entrepreneurial and mathematical competences.

Prospective teachers’ conceptions of the concepts mean, median, and mode.

Prospective teachers’ approach to reasoning and proof

The impact of assessment on students’ experiences of mathematics.

Through its thematic connections to teacher education, professional development, assessment, entrepreneurial competences, and reasoning and proof, Students’ and Teachers’ Values, Attitudes, Feelings and Beliefs in Mathematics Classrooms proves to be a valuable resource for educators, practitioners, and students for applications at primary, secondary, and university levels.

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds: The Global Evolution of an Emerging Field of Research and Practice By Carolyn Kieran

English | PDF,EPUB | 2017 (2018 Edition) | 443 Pages | ISBN : 3319683500 | 12.79 MB

This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings.

The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.

Researching the History of Mathematics Education: An International Overview By Fulvia Furinghetti

English | PDF,EPUB | 2017 (2018 Edition) | 323 Pages | ISBN : 3319682938 | 10.07 MB

This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach.

The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies.

The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.