001444977 000__ 06146cam\a2200649Ii\4500
001444977 001__ 1444977
001444977 003__ OCoLC
001444977 005__ 20230310003805.0
001444977 006__ m\\\\\o\\d\\\\\\\\
001444977 007__ cr\un\nnnunnun
001444977 008__ 220308s2022\\\\sz\a\\\\o\\\\\001\0\eng\d
001444977 019__ $$a1302236881$$a1302504188$$a1302576195$$a1302688678$$a1302741382
001444977 020__ $$a9783030800086$$q(electronic bk.)
001444977 020__ $$a3030800083$$q(electronic bk.)
001444977 020__ $$z9783030800079
001444977 020__ $$z3030800075
001444977 0247_ $$a10.1007/978-3-030-80008-6$$2doi
001444977 035__ $$aSP(OCoLC)1302308634
001444977 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dN$T$$dOCLCO$$dOCLCF$$dOCLCO$$dUKAHL$$dSFB$$dOCLCQ
001444977 049__ $$aISEA
001444977 050_4 $$aQA11.2$$b.C66 2022
001444977 08204 $$a510.71$$223
001444977 24500 $$aConceptions and consequences of mathematical argumentation, justification, and proof /$$cKristen N. Bieda, AnnaMarie Conner, Karl W. Kosko, Megan Staples, editors.
001444977 264_1 $$aCham :$$bSpringer,$$c[2022]
001444977 264_4 $$c©2022
001444977 300__ $$a1 online resource :$$billustrations (some color).
001444977 336__ $$atext$$btxt$$2rdacontent
001444977 337__ $$acomputer$$bc$$2rdamedia
001444977 338__ $$aonline resource$$bcr$$2rdacarrier
001444977 4901_ $$aResearch in mathematics education,$$x2570-4737
001444977 500__ $$aIncludes index.
001444977 5050_ $$aIntroduction: Conceptualizing Argumentation, Justification, and Proof in Mathematics Education -- Part 1: Argumentation, Justification and Proof in an Elementary Classroom -- Overview of the Elementary Level Data -- Argumentation in the Elementary Grades: The Role of Participants, Tasks, and Tools -- Justification in the Elementary Grades: Justification to Develop and Provide Access to Mathematical Reasoning -- Proof in the Elementary Grades: A Multimodal Approach to Generalization and Proof -- On the Meanings of Argumentation, Justification, and Proof: General Insights from Analyses of Elementary Classroom Episodes -- Part 2: Argumentation, Justification and Proof in a Middle Grades Classroom -- Overview of Middle Level Data -- Argumentation in the Middle Grades: Exploring a Teacher's Support of Collective Argumentation -- Justification in the Middle Grades: A Process of Verification and Sense-Making -- Proof in the Middle Grades: Can we Label Middle Grades Arguments as Proof with a Capital P? -- Argumentation, Justification, and Proof in Middle School: A Rose by Any Other Name -- Part 3: Argumentation, Justification and Proof in High School Mathematics -- Overview of High School Level Data -- Argumentation in the Context of High School Mathematics: Examining Dialogic Aspects of Argumentation -- Justification in the Context of High School Mathematics: Co-Constructing Content and Process -- Proof in the Context of High School Mathematics: A First Approach through Discussion, with Occasions and Missed Opportunities -- Reasoning is in the Eye of the Lens-Holder: Observations Made through the Lenses of Justification, Argumentation, and Proof at the High School Level -- Part 4: Argumentation, Justification and Proof at the Tertiary Level -- Overview of Tertiary Level Data -- Argumentation in the Context of Tertiary Mathematics: A Case Study of Classroom Argumentation and the Role of Instructor Moves -- Justification in the Context of Tertiary Mathematics: Undergraduate Students Exploring the Properties and Relations of the Dihedral Group -- Proof in the Context of Tertiary Mathematics: Undergraduate Inquiry-Based Learning in Abstract Algebra as a Precursor to Mathematical Proof -- Mathematics Educators as Polymaths, Brokers, and Learners: Commentary on the Tertiary Chapters on Argumentation, Justification, and Proof -- Part 5: Lenses on Researching Argumentation, Justification and Proof Across the Grade Levels -- Participation in Argumentation: Teacher and Student Roles across the Grades -- Justification Across the Grade Bands -- Lens, Blinders, or Kaleidoscope? Using a Definition of Proof to Make Sense of Classroom Activity -- Conclusion: Considering the Consequences of Our Conceptions of Argumentation, Justification, and Proof.
001444977 506__ $$aAccess limited to authorized users.
001444977 520__ $$aThis book aims to advance ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation, justification, and proof and the consequences for research and practice when applying particular conceptions of each construct. Through analyses of classroom practice across grade levels using different lenses - particular conceptions of argumentation, justification, and proof - researchers consider the implications of how each conception shapes empirical outcomes. In each section, organized by grade band, authors adopt particular conceptions of argumentation, justification, and proof, and they analyse one data set from each perspective. In addition, each section includes a synthesis chapter from an expert in the field to bring to the fore potential implications, as well as new questions, raised by the analyses. Finally, a culminating section considers the use of each conception across grade bands and data sets.
001444977 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 10, 2022).
001444977 650_0 $$aMathematics$$xStudy and teaching.
001444977 650_0 $$aProof theory.
001444977 650_0 $$aSyllogism.
001444977 650_0 $$aMathematics teachers$$xTraining of.
001444977 650_6 $$aMathématiques$$xÉtude et enseignement.
001444977 650_6 $$aThéorie de la preuve.
001444977 650_6 $$aSyllogisme.
001444977 650_6 $$aProfesseurs de mathématiques$$xFormation.
001444977 655_0 $$aElectronic books.
001444977 655_7 $$aLlibres electrònics.$$2thub
001444977 7001_ $$aBieda, Kristen,$$eeditor.
001444977 7001_ $$aConner, AnnaMarie,$$eeditor.
001444977 7001_ $$aKosko, Karl W.,$$eeditor.
001444977 7001_ $$aStaples, Megan,$$eeditor.
001444977 77608 $$iPrint version:$$z3030800075$$z9783030800079$$w(OCoLC)1253474852
001444977 830_0 $$aResearch in mathematics education (Springer (Firm))$$x2570-4737
001444977 852__ $$bebk
001444977 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-80008-6$$zOnline Access$$91397441.1
001444977 909CO $$ooai:library.usi.edu:1444977$$pGLOBAL_SET
001444977 980__ $$aBIB
001444977 980__ $$aEBOOK
001444977 982__ $$aEbook
001444977 983__ $$aOnline
001444977 994__ $$a92$$bISE