Author: Thomas E. Gilsdorf
Publisher: John Wiley & Sons
Release Date: 2012-02-24
Challenges readers to think creativelyabout mathematics and ponder its role in their own daily lives Cultural mathematics, or ethnomathematics as it is also known, studies the relationship between mathematics and culture—with the ultimate goal of contributing to an appreciation of the connection between the two. Introduction to Cultural Mathematics: With Case Studies in the Otomies and Incas integrates both theoretical and applied aspects of the topic, promotes discussions on the development of mathematical concepts, and provides a comprehensive reference for teaching and learning about multicultural mathematical practices. This illuminating book provides a nontraditional, evidence-based approach to mathematics that promotes diversity and respect for cultural heritages. Part One covers such major concepts as cultural aspects of mathematics, numeration and number symbols, kinship relations, art and decoration, games, divination, and calendars. Part Two takes those concepts and applies them to fascinating case studies of both the Otomies of Central Mexico and the Incas of South America. Throughout the book, numerous illustrations, examples, and motivational questions promote an interactive understanding of the topic. Each chapter begins with questions that encourage a cooperative, inquiry-based approach to learning and concludes with a series of exercises that allow readers to test their understanding of the presented material. Introduction to Cultural Mathematics is an ideal book for courses on cultural mathematics, the history of mathematics, and cultural studies. The book is also a valuable resource and reference for anyone interested in the connections between mathematics, culture, anthropology, and history.
The combined impact of linguistic, cultural, educational and cognitive factors on mathematics learning is considered in this unique book. By uniting the diverse research models and perspectives of these fields, the contributors describe how language and cognitive factors can influence mathematical learning, thinking and problem solving. The authors contend that cognitive skills are heavily dependent upon linguistic skills and both are critical to the representational knowledge intimately linked to school achievement in mathematics.
Six different world cultures are the focus of Hands-On Culture: Japan, Mexico and Central America, Southeast Asia, West Africa, Ancient Egypt, and Ancient Greece and Rome. These colorful volumes examine each culture's art, science, history, geography, and language and literature. From making sushi, to designing a drum to reading hieroglyphics, students use an array of hands-on activities to grow more culturally aware and appreciative if differences among peoples. Topics in this volume include: Egyptian religion: hundreds of gods Hieroglyphics: picture writing Playing games Drama: the Festival of Osiris Making a mummy See other Hands-on Culture titles
Author: Joseph Mazur
Publisher: Princeton University Press
Release Date: 2016-12-06
While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.
This volume--the first to bring together research on sociocultural aspects of mathematics education--presents contemporary and international perspectives on social justice and equity issues that impact mathematics education. In particular, it highlights the importance of three interacting and powerful factors--gender, social, and cultural dimensions. Sociocultural Research on Mathematics Education: An International Perspective is distinguished in several ways: * It is research based. Chapters report on significant research projects; present a comprehensive and critical summary of the research findings; and offer a critical discussion of research methods and theoretical perspectives undertaken in the area. * It is future oriented, presenting recommendations for practice and policy and identifying areas for further research. * It deals with all aspects of formal and informal mathematics education and applications and all levels of formal schooling. As the context of mathematics education rapidly changes-- with an increased demand for mathematically literate citizenship; an increased awareness of issues of equity, inclusivity, and accountability; and increased efforts for globalization of curriculum development and research-- questions are being raised more than ever before about the problems of teaching and learning mathematics from a non-cognitive science perspective. This book contributes significantly to addressing such issues and answering such questions. It is especially relevant for researchers, graduate students, and policymakers in the field of mathematics education.
Author: Ann Kajander
Publisher: Canadian Scholars’ Press
Release Date: 2014-01-01
Students of mathematics learn best when taught by a teacher with a deep and conceptual understanding of the fundamentals of mathematics. In Mathematical Models for Teaching, Ann Kajander and Tom Boland argue that teachers must be equipped with a knowledge of mathematics for teaching, which is grounded in modelling, reasoning, and problem-based learning. A comprehensive exploration of models and concepts, this book promotes an understanding of the material that goes beyond memorization and recitation, which begins with effective teaching. This vital resource is divided into 15 chapters, each of which addresses a specific mathematical concept. Focusing on areas that have been identified as problematic for teachers and students, Mathematical Models for Teaching equips teachers with a different type of mathematical understanding--one that supports and encourages student development. Features: grounded in the most current research about teachers' learning contains cross-chapter connections that identify common ideas includes chapter concluding discussion questions that encourage critical thinking incorporates figures and diagrams that simplify and solidify important mathematical concepts offers further reading suggestions for instructors seeking additional information
Author: Michael P. Closs
Publisher: University of Texas Press
Release Date: 1996
There is no question that native cultures in the New World exhibit many forms of mathematical development. This Native American mathematics can best be described by considering the nature of the concepts found in a variety of individual New World cultures. Unlike modern mathematics in which numbers and concepts are expressed in a universal mathematical notation, the numbers and concepts found in native cultures occur and are expressed in many distinctive ways. Native American Mathematics, edited by Michael P. Closs, is the first book to focus on mathematical development indigenous to the New World. Spanning time from the prehistoric to the present, the thirteen essays in this volume attest to the variety of mathematical development present in the Americas. The data are drawn from cultures as diverse as the Ojibway, the Inuit (Eskimo), and the Nootka in the north; the Chumash of Southern California; the Aztec and the Maya in Mesoamerica; and the Inca and Jibaro of South America. Among the strengths of this collection are this diversity and the multidisciplinary approaches employed to extract different kinds of information. The distinguished contributors include mathematicians, linguists, psychologists, anthropologists, and archaeologists.
The top-selling teacher resource line, The 100+ Series(TM) features over 100 reproducible activities in each book! Based on NCTM standards, these challenging and fun reproducible activities will utilize codes, puzzles, games, and artwork to strengthen students' mathematics aptitudes. Topics range from number exploration to geometry, algebra, measurement, and data analysis and probability. Students will learn to convey math concepts and ideas, determine financial pyramid schemes, prime numbers, theorems, stock investments and the interest paid, various uses of data, and true randoms. Each page contains a notation of the NCTM standard being addressed and the process standards are woven into the exercises on each page. An answer key is also included and it features 128 perforated pages.
Author: Murad Jurdak
Publisher: Springer Science & Business Media
Release Date: 2009-07-30
Educational equity and quality are not only research issues which cut across different disciplines but are major determinants of socio-economic and human development in both industrial and developing countries. The status and role of mathematics, a subject which has long enjoyed a privileged status in school curricula worldwide due to its perceived role in science and technology, render equity and quality in mathematics education at the heart of human development. This is reflected by governments’ relatively large investments in improving the quality of mathematics education and extending it to marginalized and underprivileged groups. The purpose of Toward Equity in Quality in Mathematics Education is four-fold. First, the book examines the constructs of equity and quality and their interdependence from different perspectives. Second, it develops a conceptual framework for studying and analyzing the two constructs. Third, it examines, consolidates, and re-structures the literature on equity and quality in mathematics education. Finally, using data from TIMSS 2003, the book investigates the within and across country impact of the different equity-related factors on mathematics achievement in a sample of countries representative of worldwide geographical and cultural regions. Towards Equity in Quality in Mathematics Education uses a multi-dimensional conceptual framework to study and analyze issues in equity and quality. The framework consists of five perspectives hypothesized as determinants of equity in quality in mathematics education: Mathematical, societal, educational, ideological, and genetic. The framework can be thought of as a pyramid with mathematics as its base and the societal, educational, ideological, and genetic perspectives as its faces. Thus, each point within this pyramid represents a unique equity in quality situation i.e. with different coordinates with respect to mathematical, societal, educational, ideological, and genetic perspectives. Towards Equity in Quality in Mathematics Education is useful for teachers and researchers in mathematics education.
Six complete cross-curricular lesson plans for embracing cultural diversity - specific regions within the continents of North America, Africa, Europe, Asia, and Australia are included. Discover history, landmarks, traditions, and much more in this activity-packed, reproducible resource.
Math (Grades 6-10) Do your students have difficulty understanding math terms? Remembering the steps of algorithms in sequence? Interpreting data in displays? Our math study skills program will help you teach them math and how to learn! Essential to the program is the comprehensive Teacher's Guide. It provides a focus on the importance of study skills, directions for using the student text, and practical suggestions for both the experienced and inexperienced teacher.
Author: Michele Emmer
Publisher: Springer Science & Business Media
Release Date: 2013-10-04
Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. The new volume in the series “Imagine Math” is intended to contribute to grasping how much that is interesting and new is happening in the relationships between mathematics, imagination and culture. The present book begins with the connections between mathematics, numbers, poetry and music, with the latest opera by Italian composer Claudio Ambrosini. Literature and narrative also play an important role here. There is cinema too, with the “erotic” mathematics films by Edward Frenkel, and the new short “Arithmétique “ by Munari and Rovazzani. The section on applications of mathematics features a study of ants, as well as the refined forms and surfaces generated by algorithms used in the performances by Adrien Mondot and Claire Bardainne. Last but not least, in honour of the hundredth anniversary of his birth, a mathematical, literary and theatrical homage to Alan Turing, one of the outstanding figures of the twentieth century.