Mathematical Thinking

Author : Masami Isoda
Publisher : World Scientific
Page : 318 pages
File Size : 44,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814350853

Get Book

Mathematical Thinking by Masami Isoda Pdf

Developing mathematical thinking is one of major aims of mathematics education. In mathematics education research, there are a number of researches which describe what it is and how we can observe in experimental research. However, teachers have difficulties developing it in the classrooms. This book is the result of lesson studies over the past 50 years. It describes three perspectives of mathematical thinking: Mathematical Attitude (Minds set), Mathematical Methods in General and Mathematical Ideas with Content and explains how to develop them in the classroom with illuminating examples.

Author : David Tall
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 53,9 Mb
Release : 1991-11-30
Category : Education
ISBN : 9780792314561

Get Book

Advanced Mathematical Thinking by David Tall Pdf

This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.

Author : Jonathan D. Katz
Publisher : Rowman & Littlefield
Page : 145 pages
File Size : 45,5 Mb
Release : 2014-07-07
Category : Education
ISBN : 9781475810585

Get Book

Developing Mathematical Thinking by Jonathan D. Katz Pdf

In this country we have done a poor job of helping students come to see the wonder, beauty and power of mathematics. Standards can be brought into the picture, but unless we think about what it means to truly engage students in mathematics we will continue to be unsuccessful. The goal of this book is to begin to change the way students experience mathematics in the middle and high school classrooms. In this book you will find a theoretical basis for this approach to teaching mathematics, multiple guides and questions for teachers to think about in relation to their everyday teaching, and over 30 examples of problems, lessons, tasks, and projects that been used effectively with urban students.

Author : Jeff Evans
Publisher : Routledge
Page : 320 pages
File Size : 47,8 Mb
Release : 2002-01-04
Category : Education
ISBN : 9781135701901

Get Book

Adults' Mathematical Thinking and Emotions by Jeff Evans Pdf

The crisis around teaching and learning of mathematics and its use in everyday life and work relate to a number of issues. These include: The doubtful transferability of school maths to real life contexts, the declining participation in A level and higher education maths courses, the apparent exclusion of some groups, such as women and the aversion of many people to maths. This book addresses these issues by considering a number of key problems in maths education and numeracy: *differences among social groups, especially those related to gender and social class *the inseparability of cognition and emotion in mathematical activity *the understanding of maths anxiety in traditional psychological, psychoanalytical and feminist theories *how adults' numerate thinking and performance must be understood in context. The author's findings have practical applications in education and training, such as clarifying problems of the transfer of learning, and of countering maths anxiety.

Author : Arlan Dean
Publisher : The Rosen Publishing Group, Inc
Page : 52 pages
File Size : 49,8 Mb
Release : 2003-12-15
Category : Juvenile Nonfiction
ISBN : 9781448861101

Get Book

3rd Grade Mathematical Thinking: Ideas and Procedures by Arlan Dean Pdf

Mathematical Thinking: Ideas and Procedures guides learners through the thinking skills needed for a solid foundation in mathematics. A variety of stimulating, curriculum-correlated activities help learners succeed in the 3rd grade math classroom, and teacher support makes it easy to implement mathematics standards. Valuable pre- and post-assessments aid teachers in individualizing instruction, diagnosing the areas where students are struggling, and measuring achievement.

Author : Marcelo C. Borba,Monica E. Villarreal
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 46,9 Mb
Release : 2005-03-22
Category : Education
ISBN : 0387242635

Get Book

Humans-with-Media and the Reorganization of Mathematical Thinking by Marcelo C. Borba,Monica E. Villarreal Pdf

This book offers a new conceptual framework for reflecting on the role of information and communication technology in mathematics education. Discussion focuses on how computers, writing and oral discourse transform education at an epistemological as well as a political level. Building on examples, research and theory, the authors propose that knowledge is not constructed solely by humans, but by collectives of humans and technologies of intelligence.

Author : Ulises Xolocotzin
Publisher : Academic Press
Page : 474 pages
File Size : 44,7 Mb
Release : 2017-05-12
Category : Psychology
ISBN : 9780128024898

Get Book

Understanding Emotions in Mathematical Thinking and Learning by Ulises Xolocotzin Pdf

Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary approach to the role of emotions in numerical cognition, mathematics education, learning sciences, and affective sciences. It addresses ways in which emotions relate to cognitive processes involved in learning and doing mathematics, including processing of numerical and physical magnitudes (e.g. time and space), performance in arithmetic and algebra, problem solving and reasoning attitudes, learning technologies, and mathematics achievement. Additionally, it covers social and affective issues such as identity and attitudes toward mathematics. Covers methodologies in studying emotion in mathematical knowledge Reflects the diverse and innovative nature of the methodological approaches and theoretical frameworks proposed by current investigations of emotions and mathematical cognition Includes perspectives from cognitive experimental psychology, neuroscience, and from sociocultural, semiotic, and discursive approaches Explores the role of anxiety in mathematical learning Synthesizes unifies the work of multiple sub-disciplines in one place

Author : AIMSSEC
Publisher : Cambridge University Press
Page : 209 pages
File Size : 44,5 Mb
Release : 2016-02-25
Category : Juvenile Nonfiction
ISBN : 9781316503621

Get Book

AIMSSEC Maths Teacher Support Series Mathematical Thinking in the Lower Secondary Classroom by AIMSSEC Pdf

This series is for maths teachers who want to develop their maths teaching skills. This book is for teachers and educators who want to develop their maths teaching skills where English is the language of instruction. It has been written by the international group of educators based at AIMSSEC, The African Institute for Mathematical Sciences Schools Enrichment Centre. The book provides practical classroom activities underpinned by sound pedagogy and recent research findings. The activities are designed for teachers working alone or in 'self-help' teachers' workshops. They are designed to develop mathematical thinking and offer immediate practical tools to help deliver this approach.

Author : Markku S. Hannula
Publisher : Unknown
Page : 176 pages
File Size : 51,6 Mb
Release : 2004
Category : Attitude (Psychology)
ISBN : CORNELL:31924102005612

Get Book

Affect in Mathematical Thinking and Learning by Markku S. Hannula Pdf

Tiivistelmä: Tunne matemaattisessa ajattelussa ja matematiikan oppimisessa.

Author : Karen Economopoulos,Anne Goodrow
Publisher : Unknown
Page : 270 pages
File Size : 40,9 Mb
Release : 1997-06
Category : Mathematics
ISBN : UVA:X004394637

Get Book

Mathematical Thinking at Grade 2 by Karen Economopoulos,Anne Goodrow Pdf

Author : Andrzej Sokolowski
Publisher : Springer Nature
Page : 208 pages
File Size : 41,5 Mb
Release : 2021-08-20
Category : Education
ISBN : 9783030802059

Get Book

Understanding Physics Using Mathematical Reasoning by Andrzej Sokolowski Pdf

This book speaks about physics discoveries that intertwine mathematical reasoning, modeling, and scientific inquiry. It offers ways of bringing together the structural domain of mathematics and the content of physics in one coherent inquiry. Teaching and learning physics is challenging because students lack the skills to merge these learning paradigms. The purpose of this book is not only to improve access to the understanding of natural phenomena but also to inspire new ways of delivering and understanding the complex concepts of physics. To sustain physics education in college classrooms, authentic training that would help develop high school students’ skills of transcending function modeling techniques to reason scientifically is needed and this book aspires to offer such training The book draws on current research in developing students’ mathematical reasoning. It identifies areas for advancements and proposes a conceptual framework that is tested in several case studies designed using that framework. Modeling Newton’s laws using limited case analysis, Modeling projectile motion using parametric equations and Enabling covariational reasoning in Einstein formula for the photoelectric effect represent some of these case studies. A wealth of conclusions that accompany these case studies, drawn from the realities of classroom teaching, is to help physics teachers and researchers adopt these ideas in practice.

Author : Jerzy Pogonowski
Publisher : LIT Verlag Münster
Page : 128 pages
File Size : 54,9 Mb
Release : 2023-12-05
Category : Electronic
ISBN : 9783643913104

Get Book

Essays on Mathematical Reasoning by Jerzy Pogonowski Pdf

This volume contains four essays which may attract the attention of those readers, who are interested in mathematical cognition The main issues and questions addressed include: How do we achieve understanding of mathematical notions and ideas? What benefits can be obtained from mistakes of great mathematicians? Which mathematical objects are standard and which are pathological? Is it possible characterize the intended models of mathematical theories in a unique way?

Author : Jill Bourne
Publisher : Psychology Press
Page : 312 pages
File Size : 41,5 Mb
Release : 1994
Category : Education
ISBN : 041510257X

Get Book

Thinking Through Primary Practice by Jill Bourne Pdf

Offers a range of research into how primary classrooms actually work looking at the development of specific curriculum areas and how they can be taught and assessed across the ability range.

Author : Morris Kline
Publisher : Oxford University Press
Page : 448 pages
File Size : 54,9 Mb
Release : 1990-03-01
Category : Mathematics
ISBN : 0199840431

Get Book

Mathematical Thought From Ancient to Modern Times by Morris Kline Pdf

This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.

Author : C Haines,P Galbraith,W Blum,S Khan
Publisher : Elsevier
Page : 510 pages
File Size : 40,8 Mb
Release : 2007-08-01
Category : Mathematics
ISBN : 9780857099419

Get Book

Mathematical Modelling by C Haines,P Galbraith,W Blum,S Khan Pdf

This book continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling. Each chapter shows how real life problems can be discussed during university lectures, in school classrooms and industrial research. International experts contribute their knowledge and experience by providing analysis, insight and comment whilst tackling large and complex problems by applying mathematical modelling. This book covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications. Covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications Continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling Shows how real life problems can be discussed during university lectures, in school classrooms and industrial research