Title Algebra teaching around the world / edited by Frederick K.S. Leung, Kyungmee Park, Derek Holton and David Clarke

Published Rotterdam : Sense, [2014] ©2014

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Description 1 online resource : illustrations Series The Learners Perspective Study Learner's perspective study. Contents TABLE OF CONTENTS -- SERIES PREFACE -- CHAPTER 1: How is Algebra Taught around the World? -- INTRODUCTION -- THE LEARNER�S PERSPECTIVE STUDY (LPS) -- What are algebra and algebraic activities? -- CONTENT OF THIS BOOK -- ALGEBRA TEACHING IN DIFFERENT COUNTRIES -- Similarities and differences among countries -- How is algebra taught differently in different countries? -- Conceptual understanding -- Theory of variation -- VARIATIONS IN ALGEBRA TEACHING AMONG THE CLASSROOMS FROM THE CHC CLUSTER OF COUNTRIES COMPARING CHARACTERISTICS OF ALGEBRA TEACHING IN CHC AND WESTERN CLASSROOMSIS ALGEBRA “UNIVERSAL�? -- CONCLUDING REMARKS -- REFERENCES -- AFFILIATIONS -- CHAPTER 2: Solving Linear Equations: A Balanced Approach -- INTRODUCTION -- TEACHING LINEAR EQUATIONS -- THE BALANCE MODEL -- CONTEXTUALISING THE CASE -- OCCASIONING THE TRANSITION -- Anticipating future learning -- Refocusing on the meaning of the equal sign -- Orientating students to more powerful ways of thinking -- INTRODUCING THE BALANCE MODEL -- Coping with the unexpected Detaching from the modelBALANCING ACTS -- CONCLUSION -- NOTE -- REFERENCES -- AFFILIATIONS -- CHAPTER 3: Rethinking Algebra Teaching in the Light of �Orchestration of Signs� � Exploring the “Equal Sign� in a Norwegian Mathematics Classroom -- INTRODUCTION -- UNDERSTANDINGS OF EQUALITY AND THE EQUAL SIGN -- THEORETICAL FRAMEWORK -- THE STUDY -- THE FINDINGS -- Contexts-Mathematics classroom environments -- Description of the lesson and identification/use of �signs� -- DISCUSSION OF FINDINGS CONCLUSIONS AND IMPLICATIONS FOR THEORY AND PRACTICENOTE -- REFERENCES -- AFFILIATIONS -- CHAPTER 4: Traditional Versus Investigative Approaches to Teaching Algebra at the Lower Secondary Level: The Case of Equations -- INTRODUCTION -- ALGEBRA IN SCHOOL MATHEMATICS IN THE CZECH REPUBLIC -- DATA COLLECTION -- THE ABILITY TO UNDERSTAND EQUALITY AND EQUATIONS -- THE ABILITY TO APPLY EQUALITY AND EQUATIONS IN REAL WORLD PROBLEM-SOLVING SETTINGS THE ABILITY TO THINK IN A SYMBOLIC LANGUAGE, TO UNDERSTAND ALGEBRA AS GENERALIZED ARITHMETIC, AND TO UNDERSTAND ALGEBRA AS THE STUDY OF MATHEMATICAL STRUCTURESEQUATIONS IN CZ1 AND CZ2 -- ACKNOWLEDGEMENTS -- NOTES -- REFERENCES -- AFFILIATIONS -- CHAPTER 5: Developing Procedural Fluency in Algebraic Structures � A Case Study of a Mathematics Classroom in Singapore -- INTRODUCTION -- THE CASE STUDY -- Teacher Data -- Stage 1: Introduction of factorisation involving difference of two squares -- Stage 2: Demonstration of how to apply a2 � b2 = (a + b)(a � b) Summary 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 Analysis onderwijs education Education (General) Onderwijs (algemeen) Bibliography Includes bibliographical references and index Notes English Print version record Subject Algebra -- Study and teaching -- Cross-cultural studies Algebra -- Study and teaching EDUCATION -- Elementary. Algebra -- Study and teaching Genre/Form Cross-cultural studies Form Electronic book Author Leung, Frederick K. S., editor. Park, Kyungmee, 1965- editor Holton, Derek Allan, 1941- editor Clarke, David, 1952-2020, editor ISBN 9789462097070 9462097070 9462097054 9789462097056

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