Algebra Teaching around the World

Algebra Teaching around the World PDF Author: Frederick K.S. Leung
Publisher: Springer
ISBN: 9462097070
Category : Education
Languages : en
Pages : 266

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Book Description
Utilizing the LPS dataset, Algebra Teaching around the World documents eighth grade algebra teaching across a variety of countries that differ geographically and culturally. Different issues in algebra teaching are reported, and different theories are used to characterize algebra lessons or to compare algebra teaching in different countries. Many commonalities in algebra teaching around the world are identified, but there are also striking and deep-rooted differences. The different ways algebra was taught in different countries point to how algebra teaching may be embedded in the culture and the general traditions of mathematics education of the countries concerned. In particular, a comparison is made between algebra lessons in the Confucian-Heritage Culture (CHC) countries and ‘Western’ countries. It seems that a common emphasis of algebra teaching in CHC countries is the ‘linkage’ or ‘coherence’ of mathematics concepts, both within an algebraic topic and between topics. On the other hand, contemporary algebra teaching in many Western school systems places increasing emphasis on the use of algebra in mathematical modeling in ‘real world’ contexts and in the instructional use of metaphors, where meaning construction is assisted by invoking contexts outside the domain of algebraic manipulation, with the intention to helping students to form connections between algebra and other aspects of their experience. Algebra Teaching around the World should be of value to researchers with a focus on algebra, pedagogy or international comparisons of education. Because of the pedagogical variations noted here, there is a great deal of material that will be of interest to both teachers and teacher educators.

Algebra Teaching around the World

Algebra Teaching around the World PDF Author: Frederick K.S. Leung
Publisher: Springer
ISBN: 9462097070
Category : Education
Languages : en
Pages : 266

Get Book Here

Book Description
Utilizing the LPS dataset, Algebra Teaching around the World documents eighth grade algebra teaching across a variety of countries that differ geographically and culturally. Different issues in algebra teaching are reported, and different theories are used to characterize algebra lessons or to compare algebra teaching in different countries. Many commonalities in algebra teaching around the world are identified, but there are also striking and deep-rooted differences. The different ways algebra was taught in different countries point to how algebra teaching may be embedded in the culture and the general traditions of mathematics education of the countries concerned. In particular, a comparison is made between algebra lessons in the Confucian-Heritage Culture (CHC) countries and ‘Western’ countries. It seems that a common emphasis of algebra teaching in CHC countries is the ‘linkage’ or ‘coherence’ of mathematics concepts, both within an algebraic topic and between topics. On the other hand, contemporary algebra teaching in many Western school systems places increasing emphasis on the use of algebra in mathematical modeling in ‘real world’ contexts and in the instructional use of metaphors, where meaning construction is assisted by invoking contexts outside the domain of algebraic manipulation, with the intention to helping students to form connections between algebra and other aspects of their experience. Algebra Teaching around the World should be of value to researchers with a focus on algebra, pedagogy or international comparisons of education. Because of the pedagogical variations noted here, there is a great deal of material that will be of interest to both teachers and teacher educators.

The Future of the Teaching and Learning of Algebra

The Future of the Teaching and Learning of Algebra PDF Author: Kaye Stacey
Publisher: Springer Science & Business Media
ISBN: 1402081316
Category : Education
Languages : en
Pages : 382

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Book Description
Kaye Stacey‚ Helen Chick‚ and Margaret Kendal The University of Melbourne‚ Australia Abstract: This section reports on the organisation‚ procedures‚ and publications of the ICMI Study‚ The Future of the Teaching and Learning of Algebra. Key words: Study Conference‚ organisation‚ procedures‚ publications The International Commission on Mathematical Instruction (ICMI) has‚ since the 1980s‚ conducted a series of studies into topics of particular significance to the theory and practice of contemporary mathematics education. Each ICMI Study involves an international seminar‚ the “Study Conference”‚ and culminates in a published volume intended to promote and assist discussion and action at the international‚ national‚ regional‚ and institutional levels. The ICMI Study running from 2000 to 2004 was on The Future of the Teaching and Learning of Algebra‚ and its Study Conference was held at The University of Melbourne‚ Australia fromDecember to 2001. It was the first study held in the Southern Hemisphere. There are several reasons why the future of the teaching and learning of algebra was a timely focus at the beginning of the twenty first century. The strong research base developed over recent decades enabled us to take stock of what has been achieved and also to look forward to what should be done and what might be achieved in the future. In addition‚ trends evident over recent years have intensified. Those particularly affecting school mathematics are the “massification” of education—continuing in some countries whilst beginning in others—and the advance of technology.

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds PDF Author: Carolyn Kieran
Publisher: Springer
ISBN: 3319683519
Category : Education
Languages : en
Pages : 443

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Book Description
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.

Challenges and Strategies in Teaching Linear Algebra

Challenges and Strategies in Teaching Linear Algebra PDF Author: Sepideh Stewart
Publisher: Springer
ISBN: 3319668110
Category : Education
Languages : en
Pages : 381

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Book Description
This book originated from a Discussion Group (Teaching Linear Algebra) that was held at the 13th International Conference on Mathematics Education (ICME-13). The aim was to consider and highlight current efforts regarding research and instruction on teaching and learning linear algebra from around the world, and to spark new collaborations. As the outcome of the two-day discussion at ICME-13, this book focuses on the pedagogy of linear algebra with a particular emphasis on tasks that are productive for learning. The main themes addressed include: theoretical perspectives on the teaching and learning of linear algebra; empirical analyses related to learning particular content in linear algebra; the use of technology and dynamic geometry software; and pedagogical discussions of challenging linear algebra tasks. Drawing on the expertise of mathematics education researchers and research mathematicians with experience in teaching linear algebra, this book gathers work from nine countries: Austria, Germany, Israel, Ireland, Mexico, Slovenia, Turkey, the USA and Zimbabwe.

Mathematics Lesson Study Around the World

Mathematics Lesson Study Around the World PDF Author: Marisa Quaresma
Publisher: Springer
ISBN: 3319756966
Category : Education
Languages : en
Pages : 177

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Book Description
This book introduces the specifics of mathematics lesson study with regard to regional/national particularities, discussing the methodological and theoretical tools that can be used to pursue research on lesson study (its forms, contents, effects etc.) from an international perspective. Lesson study and learning study (LS) are becoming increasingly important in teacher education, mostly in continuous professional development, but also in prospective teachers’ education, and this interest is accompanied by a demand for more solid theorization of the lesson study process. A number of social, cultural, cognitive and affective issues are reflected in the way LS develops, and the book examines the latest results of these developments.

Rethinking Mathematics

Rethinking Mathematics PDF Author: Eric Gutstein
Publisher: Rethinking Schools
ISBN: 0942961544
Category : Mathematics
Languages : en
Pages : 192

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Book Description
In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.

Encountering Algebra

Encountering Algebra PDF Author: Cecilia Kilhamn
Publisher: Springer
ISBN: 3030175774
Category : Education
Languages : en
Pages : 265

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Book Description
The book reports a comparative research project about algebra teaching and learning in four countries. Algebra is a central topic of learning across the world, and it is well-known that it represents a hurdle for many students. The book presents analyses built on extensive video-recordings of classrooms documenting the first introduction to symbolic algebra (students aged 12 to 14). While the content addressed in all classrooms is variables, expressions and equations, the teaching approaches are diverse. The chapters bring the reader into different algebra classrooms, discussing issues such as mathematization and social norms, the role of mediating tools and designed examples, and teacher beliefs. By comparing classrooms, new insights are generated about how students understand the algebraic content, how teachers instruct, and how both parties deal with difficulties in learning elementary algebra. The book also describes a research methodology using video in search of taken-for-granted aspects of algebra lessons.

Examining Education around the World

Examining Education around the World PDF Author: Fred M. Shelley
Publisher: Bloomsbury Publishing USA
ISBN: 1440864489
Category : Education
Languages : en
Pages : 340

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Book Description
This thematic encyclopedia provides an overview of education as undertaken in the United States and in 70 countries worldwide and links educational organization, philosophy, and practice with important global social, economic, and environmental issues facing the contemporary world. All around the world, young people attend school, be it in the steppes of Mongolia, the tiny island nations of the Pacific, or the urban centers of Mexico. How do countries meet the educational needs of their citizens? This volume is organized into 10 chapters that look at key issues in global education, including literacy, gender, religion, science and technology (STEM), arts and humanities, school violence, multicultural education and diversity, environment and sustainability, education and difference/special needs, and views on education and a country's future. Each chapter contains eight country profiles, one for the United States and one each for seven other countries. Each entry includes a brief overview of the country and its history and geography, a description of its K–12 education system, and more detailed information about that country with respect to the appropriate topic. This book allows readers to compare and contrast education throughout the world. It also analyzes, from both contemporary and historical perspectives, relationships between education and the ways in which different countries address various issues, including development, diversity, gender, and environmental sustainability.

The Learning and Teaching of Algebra

The Learning and Teaching of Algebra PDF Author: Abraham Arcavi
Publisher: Routledge
ISBN: 1134820771
Category : Education
Languages : en
Pages : 148

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Book Description
IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Algebra provides a pedagogical framework for the teaching and learning of algebra grounded in theory and research. Areas covered include: • Algebra: Setting the Scene • Some Lessons From History • Seeing Algebra Through the Eyes of a Learner • Emphases in Algebra Teaching • Algebra Education in the Digital Era This guide will be essential reading for trainee and qualified teachers of mathematics, graduate students, curriculum developers, researchers and all those who are interested in the "problématique" of teaching and learning algebra. It allows you to get involved in the wealth of knowledge that teachers can draw upon to assist learners, helping you gain the insights that mastering algebra provides.

Global Teaching InSights A Video Study of Teaching

Global Teaching InSights A Video Study of Teaching PDF Author: OECD
Publisher: OECD Publishing
ISBN: 926474715X
Category :
Languages : en
Pages : 310

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Book Description
What does teaching look like? What practices are most impactful? By directly observing teaching in the classroom, this study trialled new research methods to shed light on these key questions for raising student outcomes around the world.