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Uncovering Chinese Pedagogy: Spiral Variation—The Unspoken Principle of Algebra Thinking Used toDevelop Chinese Curriculum and Instruction of the “Two Basics”
Xuhua Sun
2018-01
Conference Name13th International Congress on Mathematical Education (ICME)
Source PublicationINVITED LECTURES FROM THE 13TH INTERNATIONAL CONGRESS ON MATHEMATICAL EDUCATION
Pages651-667
Conference Date24th- 31st July 2016
Conference PlaceSoc Didact Math, Hamburg
CountryGERMANY
Abstract

Many international research studies are conducted in the Western deductive tradition strongly influenced by a geometric perspective. During the past decades, the missing paradigm from an algebraic tradition has rarely been explored. I intend to present the algebraic perspective that structures inductive tradition in an effort to understand Chinese curriculum and instruction of the “Two Basics” and its unspoken principle, spiral variation. This study can deepen our understanding how the inductive reasoning that underpins early Chinese algebra provides a foundational cultural perspective for interpreting “indigenous” principles and their application. This discussion can enlighten our understanding of the Chinese tradition of mathematics education, which can in turn shed light on the research into algebra education from the perspective of problem variation.

KeywordChinese Curriculum Spiral Variation Algebra History Chinese Mathematics History
DOI10.1007/978-3-319-72170-5_36
Indexed ByCPCI-S ; CPCI-SSH
Language英語English
WOS Research AreaEducation & Educational Research ; Mathematics
WOS SubjectEducation & Educational Research ; Education, Scientific Disciplines ; Mathematics
WOS IDWOS:000448067900035
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Document TypeConference paper
CollectionFaculty of Education
AffiliationUniversity of Macau
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Xuhua Sun. Uncovering Chinese Pedagogy: Spiral Variation—The Unspoken Principle of Algebra Thinking Used toDevelop Chinese Curriculum and Instruction of the “Two Basics”[C], 2018, 651-667.
APA Xuhua Sun.(2018). Uncovering Chinese Pedagogy: Spiral Variation—The Unspoken Principle of Algebra Thinking Used toDevelop Chinese Curriculum and Instruction of the “Two Basics”. INVITED LECTURES FROM THE 13TH INTERNATIONAL CONGRESS ON MATHEMATICAL EDUCATION, 651-667.
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