Algebra Teaching Around The World

Author : Frederick K.S. Leung,Kyungmee Park,Derek Holton,David Clarke
Publisher : Springer
Page : 264 pages
File Size : 51,9 Mb
Release : 2014-10-13
Category : Education
ISBN : 9789462097070

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Algebra Teaching around the World by Frederick K.S. Leung,Kyungmee Park,Derek Holton,David Clarke Pdf

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.

Author : Kaye Stacey,Helen Chick,Margaret Kendal
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 45,7 Mb
Release : 2006-04-11
Category : Education
ISBN : 9781402081316

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The Future of the Teaching and Learning of Algebra by Kaye Stacey,Helen Chick,Margaret Kendal Pdf

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.

Author : Cecilia Kilhamn,Roger Säljö
Publisher : Springer
Page : 263 pages
File Size : 48,5 Mb
Release : 2019-07-03
Category : Education
ISBN : 9783030175771

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Encountering Algebra by Cecilia Kilhamn,Roger Säljö Pdf

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.

Author : OECD
Publisher : OECD Publishing
Page : 308 pages
File Size : 52,8 Mb
Release : 2020-11-16
Category : Electronic
ISBN : 9789264747159

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Global Teaching InSights A Video Study of Teaching by OECD Pdf

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.

Author : Marisa Quaresma,Carl Winsløw,Stéphane Clivaz,João Pedro da Ponte,Aoibhinn Ní Shúilleabháin,Akihiko Takahashi
Publisher : Springer
Page : 177 pages
File Size : 54,9 Mb
Release : 2018-03-23
Category : Education
ISBN : 9783319756967

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Mathematics Lesson Study Around the World by Marisa Quaresma,Carl Winsløw,Stéphane Clivaz,João Pedro da Ponte,Aoibhinn Ní Shúilleabháin,Akihiko Takahashi Pdf

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.

Author : Carolyn Kieran
Publisher : Springer
Page : 443 pages
File Size : 50,5 Mb
Release : 2017-12-04
Category : Education
ISBN : 9783319683515

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Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds by Carolyn Kieran Pdf

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.

Author : Rosamund Sutherland,Teresa Rojano,Alan Bell,Romulo Lins
Publisher : Springer Science & Business Media
Page : 277 pages
File Size : 46,6 Mb
Release : 2006-02-16
Category : Education
ISBN : 9780306472237

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Perspectives on School Algebra by Rosamund Sutherland,Teresa Rojano,Alan Bell,Romulo Lins Pdf

This book confronts the issue of how young people can find a way into the world of algebra. It represents multiple perspectives which include an analysis of situations in which algebra is an efficient problem-solving tool, the use of computer-based technologies, and a consideration of the historical evolution of algebra. The book emphasizes the situated nature of algebraic activity as opposed to being concerned with identifying students' conceptions in isolation from problem-solving activity.

Author : Bill Atweh,Lianghuo Fan,Catherine P. Vistro-Yu
Publisher : Springer Nature
Page : 187 pages
File Size : 41,8 Mb
Release : 2023-05-17
Category : Education
ISBN : 9789819906437

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Asian Research in Mathematics Education by Bill Atweh,Lianghuo Fan,Catherine P. Vistro-Yu Pdf

This book focuses on the development of research in mathematics education cultures and its products from the perspective of local educators. It consists of contributions from Mainland China, Indonesia, Korea, Macao, Singapore, the Philippines, and Turkey. This book examines the development of the culture of research in the respective countries and also reviews the research conducted in the recent past in mathematics education. It takes a critical stance through identifying the various accomplishments, and identifying challenges for the future of research in terms of its diversification and quality. Divided into two sections, the first section considers factors around the development of a research culture in the respective countries by focusing on the means used to develop research expertise and quality. The second section consists of overviews of the area of research and methodologies conducted in mathematics education in the various countries, with the intention of highlighting the research topics conducted as well as discussing omissions of such research.

Author : Zalman Usiskin
Publisher : Unknown
Page : 434 pages
File Size : 55,5 Mb
Release : 1999
Category : Education
ISBN : CORNELL:31924086909508

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Developments in School Mathematics Education Around the World by Zalman Usiskin Pdf

Author : Sinan Kanbir,M. A. (Ken) Clements,Nerida F. Ellerton
Publisher : Springer
Page : 327 pages
File Size : 51,7 Mb
Release : 2017-10-28
Category : Education
ISBN : 9783319592046

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Using Design Research and History to Tackle a Fundamental Problem with School Algebra by Sinan Kanbir,M. A. (Ken) Clements,Nerida F. Ellerton Pdf

In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics—why do so many middle-school and secondary-school students find it difficult to learn algebra well? What makes the book important are the unique features which comprise the design-research approach that the authors adopted in seeking a solution to the problem. The first unique feature is that the authors offer an overview of the history of school algebra. Despite the fact that algebra has been an important component of secondary-school mathematics for more than three centuries, there has never been a comprehensive historical analysis of factors influencing the teaching and learning of that component. The authors identify, through historical analysis, six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary mathematics, and (f) algebra as a study of variables. They also raise the question whether school algebra represents a unidimensional trait. Kanbir, Clements and Ellerton offer an unusual hybrid theoretical framework for their intervention study (by which seventh-grade students significantly improved their elementary algebra knowledge and skills). Their theoretical frame combined Charles Sanders Peirce’s triadic signifier-interpretant-signified theory, which is in the realm of semiotics, with Johann Friedrich Herbart’s theory of apperception, and Ken Clements’ and Gina Del Campo’s theory relating to the need to expand modes of communications in mathematics classrooms so that students engage in receptive and expressive modes. Practicing classroom teachers formed part of the research team. This book appears in Springer’s series on the “History of Mathematics Education.” Not only does it include an important analysis of the history of school algebra, but it also adopts a theoretical frame which relies more on “theories from the past,” than on contemporary theories in the field of mathematics education. The results of the well-designed classroom intervention are sufficiently impressive that the study might havecreated and illuminated a pathway for future researchers to take.

Author : Sepideh Stewart,Christine Andrews-Larson,Avi Berman,Michelle Zandieh
Publisher : Springer
Page : 382 pages
File Size : 52,5 Mb
Release : 2018-02-01
Category : Education
ISBN : 9783319668116

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Challenges and Strategies in Teaching Linear Algebra by Sepideh Stewart,Christine Andrews-Larson,Avi Berman,Michelle Zandieh Pdf

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.

Author : Mary M. Atwater
Publisher : Springer Nature
Page : 1629 pages
File Size : 41,6 Mb
Release : 2022-06-30
Category : Science
ISBN : 9783030831226

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International Handbook of Research on Multicultural Science Education by Mary M. Atwater Pdf

This handbook gathers in one volume the major research and scholarship related to multicultural science education that has developed since the field was named and established by Atwater in 1993. Culture is defined in this handbook as an integrated pattern of shared values, beliefs, languages, worldviews, behaviors, artifacts, knowledge, and social and political relationships of a group of people in a particular place or time that the people use to understand or make meaning of their world, each other, and other groups of people and to transmit these to succeeding generations. The research studies include both different kinds of qualitative and quantitative studies. The chapters in this volume reflect differing ideas about culture and its impact on science learning and teaching in different K-14 contexts and policy issues. Research findings about groups that are underrepresented in STEM in the United States, and in other countries related to language issues and indigenous knowledge are included in this volume.

Author : Werner Blum,Michèle Artigue,Maria Alessandra Mariotti,Rudolf Sträßer,Marja Van den Heuvel-Panhuizen
Publisher : Springer
Page : 212 pages
File Size : 51,9 Mb
Release : 2019-02-18
Category : Education
ISBN : 9783030055141

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European Traditions in Didactics of Mathematics by Werner Blum,Michèle Artigue,Maria Alessandra Mariotti,Rudolf Sträßer,Marja Van den Heuvel-Panhuizen Pdf

This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.

Author : Ji-Won Son,Tad Watanabe,Jane-Jane Lo
Publisher : Springer
Page : 432 pages
File Size : 50,6 Mb
Release : 2017-03-03
Category : Education
ISBN : 9783319511870

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What Matters? Research Trends in International Comparative Studies in Mathematics Education by Ji-Won Son,Tad Watanabe,Jane-Jane Lo Pdf

This book provides a unique international comparative perspective on diverse issues and practices in mathematics education between and among the US and five high-performing TIMSS education systems, Japan, China, Singapore, South Korea, and Taiwan. The book offers multiple perspectives on the important factors that contribute to mathematics teaching and learning in different educational systems and cultural contexts. Using large scale data generated by numerous international comparative studies, the book analyzes and provides context for various methodological perspectives. The book raises compelling questions and issues for mathematics education researchers, leading to a critical examination of what can be learned from other education systems. Authors address four major research perspectives by critically examining cross-national similarities and differences, such as research on the influence of curriculum on student learning; research on institutional systems of mathematics teacher education; research on improving teacher knowledge and pedagogical approaches; and research using large-scale data. This collection of perspectives serves as a foundation for reviewing and analyzing the international comparative studies introduced in the book.

Author : Merrilyn Goos,Colleen Vale,Gloria Stillman,Katie Makar,Sandra Herbert,Vince Geiger
Publisher : Routledge
Page : 468 pages
File Size : 52,9 Mb
Release : 2020-07-16
Category : Education
ISBN : 9781000247770

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Teaching Secondary School Mathematics by Merrilyn Goos,Colleen Vale,Gloria Stillman,Katie Makar,Sandra Herbert,Vince Geiger Pdf

Since its first publication, Teaching Secondary School Mathematics has established itself as one of the most respected and popular texts for both pre-service and in-service teachers. This new edition has been fully revised and updated to reflect the major changes brought about by the introduction of the Australian Curriculum: Mathematics, as well as discussing significant research findings, the evolution of digital teaching and learning technologies, and the implications of changes in education policies and practices. The mathematical proficiencies that now underpin the Australian curriculum -- understanding, fluency, problem solving and reasoning -- are covered in depth in Part 1, and a new section is devoted to the concept of numeracy. The chapter on digital tools and resources has been significantly expanded to reflect the growing use of these technologies in the classroom, while the importance of assessment is recognised with new material on assessment for learning and as learning, along with a consideration of policy development in this area. Important research findings on common student misconceptions and new and effective approaches for teaching key mathematical skills are covered in detail. As per the first edition readers will find a practical guide to pedagogical approaches and the planning and enactment of lessons together with enhanced chapters on teaching effectively for diversity, managing issues of inequality and developing effective relationships with parents and the community. This book is the essential pedagogical tool for every emerging teacher of secondary school mathematics. 'The text offers an excellent resource for all of those involved in the preparation of secondary mathematics teachers, with links to research literature, exemplars of classroom practices, and instructional activities that encourage readers to actively examine and critique practices within their own educational settings.' Professor Glenda Anthony, Institute of Education, Massey University 'A rich and engaging textbook that covers all of the important aspects of learning to become an effective secondary mathematics teacher. The second edition of this text ... is further enhanced with updated references to the Australian Curriculum, NAPLAN, STEM, current Indigenous, social justice and gender inequity issues, and the place of Australian mathematics curricula on the world stage.' Dr Christine Ormond, Senior Lecturer, Edith Cowan University