The Process Of Learning Mathematics
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The Process Of Learning Mathematics
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Author : L. R. Chapman
language : en
Publisher: Elsevier
Release Date : 2016-06-06
The Process Of Learning Mathematics written by L. R. Chapman and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Education categories.
The Process of Learning Mathematics is a collection of essays from a two-term course of intercollegiate lectures for students of B.Ed. degree. This collection starts with two different views on the nature of mathematics. One essay discusses the role of intuition in understanding mathematics, while another paper expounds on the role of logic. This book then discusses the generalization, structure, and approximations used in teaching mathematics, and emphasizes the problems of applied mathematics and technology pertaining to equations of motion, mathematical representation of physical phenomena, or in relations such as conservation of matter. One paper reviews Piaget's studies on the development of children's thinking process, noting that teachers should consider the level of thinking the pupil uses when designing his teaching material. Another essay deals with how the existing knowledge in a student can affect new kinds of learning through assimilation and accommodation. This book then describes the use of symbols and "reflective intelligence," addressing reflective activities, communication, and the contribution of symbols. This text then discusses computer-assisted education and several mathematical teaching or learning experiments. This compendium can prove useful for mathematics majors, educators, school administrators, and math teachers.
The Process Of Learning Mathematics
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Author : L. R. Chapman
language : en
Publisher:
Release Date : 1976
The Process Of Learning Mathematics written by L. R. Chapman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
How Chinese Learn Mathematics
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Author : Lianghuo Fan
language : en
Publisher: World Scientific
Release Date : 2004
How Chinese Learn Mathematics written by Lianghuo Fan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
The book has been written by an international group of very activeresearchers and scholars who have a passion for the study of Chinesemathematics education. It aims to provide readers with a comprehensiveand updated picture of the teaching and learning of mathematicsinvolving Chinese students from various perspectives, including theways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and socialenvironment on Chinese students'' mathematics learning, and thestrengths and weaknesses of the ways in which Chinese learnmathematics
A Process Of Learning Mathematics
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Author : Vidya Maharaj
language : en
Publisher:
Release Date : 2014
A Process Of Learning Mathematics written by Vidya Maharaj and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Caribbean Area categories.
The Process Of Learning Mathematics
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Author : L. R. Chapman
language : en
Publisher:
Release Date : 1973-01-01
The Process Of Learning Mathematics written by L. R. Chapman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-01-01 with Mathematics categories.
The Process Of Learning Mathematics
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Author : L. R. Chapman
language : en
Publisher: Elsevier
Release Date : 2013-10-22
The Process Of Learning Mathematics written by L. R. Chapman and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Mathematics categories.
The Process of Learning Mathematics describes the process of learning mathematics and covers topics ranging from the nature of mathematics to the role of intuition and logic in mathematics; the thought processes involved in the teaching of mathematics; reflective intelligence and the use of symbols; and discovery as a way of learning mathematics. Computer-assisted instruction in mathematics is also considered. This book is comprised of 19 chapters and begins with a reflection on the nature of mathematics, followed by a discussion on the importance of intuition and logic in mathematics. The ideas of generalization, structure, approximations, and the evolution of some particular aspect of applied mathematics are then examined from the viewpoint of a teacher. Subsequent chapters deal with schematic learning; motivation and emotional and interpersonal factors; uses of programmed material in British schools and colleges; and structural apparatuses used in teaching mathematics. The Midlands Mathematical Experiment and the Nuffield Foundation Mathematics Teaching Project in Britain are also described. This monograph will be of interest to teachers and students of mathematics.
Teaching And Learning Mathematics In Multilingual Classrooms
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Author : Anjum Halai
language : en
Publisher: Springer
Release Date : 2015-12-17
Teaching And Learning Mathematics In Multilingual Classrooms written by Anjum Halai and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-17 with Education categories.
Contemporary concerns in mathematics education recognize that in the increasingly technological and globalized world, with concomitant change in population demographics (e.g. immigration, urbanization) and a change in the status of languages (e.g. English as a dominant language of science and technology) multilingualism in classrooms is a norm rather than an exception. Shifts in perspective also view language not simply as an instrument for cognition with all learners equipped with this instrument in service of learning, although clearly in the classroom that remains of importance. Rather, it is now also being acknowledged that language use is inherently political, so that the language that gets official recognition in the classroom is invariably the language of the powerful elite, or the dominant societal language, or in the case of post-colonial contexts the language of the colonisers. From this socio-political role of language in learning quite different issues arise for teaching, learning and curriculum for linguistically marginalized learners than that of cognition (e.g. immigrants, second language learners, other). Policies on language in education are being considered and re-considered with specific reference to mathematics teaching and learning. Given the policy environment, globally the proposed publication is timely. This edited collection draws on recent, emerging insights and understandings about the approaches to improving policy and practice in mathematics education and mathematics teacher education in multilingual settings. It presents, and discusses critically, examples of work from a range of contexts and uses these examples to draw out key issues for research in education in language diverse settings including teaching, learning, curriculum and fit these with appropriate policy and equity approaches. With contributions from all over the world, especially novice researchers in low income countries, this book is a valuable resource for courses in Mathematics Education and related social sciences both at the graduate and undergraduate levels, as well as for students of international development.
Teaching And Learning Mathematics Online
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Author : James P. Howard, II
language : en
Publisher: CRC Press
Release Date : 2020-05-10
Teaching And Learning Mathematics Online written by James P. Howard, II and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-10 with Mathematics categories.
Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses
Mathematics For Machine Learning
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Author : Marc Peter Deisenroth
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-23
Mathematics For Machine Learning written by Marc Peter Deisenroth and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-23 with Computers categories.
The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.
Mathematics Education
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Author : Lyn D. English
language : en
Publisher: Routledge
Release Date : 2012-12-06
Mathematics Education written by Lyn D. English and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.
To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process has been changed fundamentally by cognitive science in the last two decades. The role of memory retrieval, domain-specific and domain-general skills, analogy, and mental models is better understood now than previously. The authors believe that cognitive science provides the most accurate account thus far of the actual processes that people use in mathematics and offers the best potential for genuine increases in efficiency. As such, they suggest that a cognitive science approach enables constructivist ideas to be analyzed and further developed in the search for greater understanding of children's mathematical learning. Not simply an application of cognitive science, however, this book provides a new perspective on mathematics education by examining the nature of mathematical concepts and processes, how and why they are taught, why certain approaches appear more effective than others, and how children might be assisted to become more mathematically powerful. The authors use recent theories of analogy and knowledge representation -- combined with research on teaching practice -- to find ways of helping children form links and correspondences between different concepts, so as to overcome problems associated with fragmented knowledge. In so doing, they have capitalized on new insights into the values and limitations of using concrete teaching aids which can be analyzed in terms of analogy theory. In addition to addressing the role of understanding, the authors have analyzed skill acquisition models in terms of their implications for the development of mathematical competence. They place strong emphasis on the development of students' mathematical reasoning and problem solving skills to promote flexible use of knowledge. The book further demonstrates how children have a number of general problem solving skills at their disposal which they can apply independently to the solution of novel problems, resulting in the enhancement of their mathematical knowledge.