001443472 000__ 04771cam\a2200601Ii\4500
001443472 001__ 1443472
001443472 003__ OCoLC
001443472 005__ 20230310003546.0
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001443472 019__ $$a1291147975$$a1291172858$$a1291317687$$a1292355236$$a1294369290
001443472 020__ $$a9783030891985$$q(electronic bk.)
001443472 020__ $$a3030891984$$q(electronic bk.)
001443472 020__ $$z9783030891978
001443472 020__ $$z3030891976
001443472 0247_ $$a10.1007/978-3-030-89198-5$$2doi
001443472 035__ $$aSP(OCoLC)1290841782
001443472 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dDCT$$dOCLCF$$dOCLCO$$dUKAHL$$dOCLCQ
001443472 049__ $$aISEA
001443472 050_4 $$aQA300$$b.W37 2022
001443472 08204 $$a515$$223
001443472 1001_ $$aWasserman, Nicholas,$$eauthor.
001443472 24510 $$aUnderstanding analysis and its connections to secondary mathematics teaching /$$cNicholas H. Wasserman, Timothy Fukawa-Connelly, Keith Weber, Juan Pablo Mejía Ramos, Stephen Abbott.
001443472 264_1 $$aCham :$$bSpringer,$$c[2022]
001443472 264_4 $$c©2022
001443472 300__ $$a1 online resource :$$billustrations.
001443472 336__ $$atext$$btxt$$2rdacontent
001443472 337__ $$acomputer$$bc$$2rdamedia
001443472 338__ $$aonline resource$$bcr$$2rdacarrier
001443472 347__ $$atext file$$bPDF$$2rda
001443472 4901_ $$aSpringer texts in education
001443472 504__ $$aIncludes bibliographical references and index.
001443472 5050_ $$aChapter 1: Teaching Principles -- Chapter 2: Equivalent Real Numbers and Infinite Decimals -- Chapter 3: Sequence Convergence and Irrational Decimal Approximations -- Chapter 4: Algebraic Limit Theorem and Error Accumulation -- Chapter 5: Divergence Description and Criteria and Logic in Communication -- Chapter 6: Continuity and Definitions -- Chapter 7: Intermediate Value Theorem and Implicit Assumptions -- Chapter 8: Continuity, Monotonicity, Inverse Functions and Solving Equations -- Chapter 9: Differentiability and the Secant Slope Function -- Chapter 10: Differentiation Rules and Attending to Scope -- Chapter 11: Taylors Theorem and Modeling Complex with Simple -- Chapter 12: The Riemann Integral and Area-Preserving Transformations -- Chapter 13: The Fundamental Theorem of Calculus and Conceptual Explanation.
001443472 506__ $$aAccess limited to authorized users.
001443472 520__ $$aGetting certified to teach high school mathematics typically requires completing a course in real analysis. Yet most teachers point out real analysis content bears little resemblance to secondary mathematics and report it does not influence their teaching in any significant way. This textbook is our attempt to change the narrative. It is our belief that analysis can be a meaningful part of a teacher's mathematical education and preparation for teaching. This book is a companion text. It is intended to be a supplemental resource, used in conjunction with a more traditional real analysis book.The textbook is based on our efforts to identify ways that studying real analysis can provide future teachers with genuine opportunities to think about teaching secondary mathematics. It focuses on how mathematical ideas are connected to the practice of teaching secondary mathematicsand not just the content of secondary mathematics itself. Discussions around pedagogy are premised on the belief that the way mathematicians do mathematics can be useful for how we think about teaching mathematics. The book uses particular situations in teaching to make explicit ways that the content of real analysis might be important for teaching secondary mathematics, and how mathematical practices prevalent in the study of real analysis can be incorporated as practices for teaching. This textbook will be of particular interest to mathematics instructorsand mathematics teacher educatorsthinking about how the mathematics of real analysis might be applicable to secondary teaching, as well as to any prospective (or current) teacher who has wondered about what the purpose of taking such courses could be.
001443472 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed January 21, 2022).
001443472 650_0 $$aMathematical analysis.
001443472 650_0 $$aMathematics$$xStudy and teaching (Secondary)
001443472 650_6 $$aAnalyse mathématique.
001443472 655_0 $$aElectronic books.
001443472 7001_ $$aFukawa-Connelly, Timothy,$$eauthor.
001443472 7001_ $$aWeber, Keith,$$eauthor.
001443472 7001_ $$aMejía Ramos, Juan Pablo,$$eauthor.
001443472 7001_ $$aAbbott, Stephen,$$d1964-$$eauthor.
001443472 77608 $$iPrint version: $$z3030891976$$z9783030891978$$w(OCoLC)1268111196
001443472 830_0 $$aSpringer texts in education.
001443472 852__ $$bebk
001443472 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-89198-5$$zOnline Access$$91397441.1
001443472 909CO $$ooai:library.usi.edu:1443472$$pGLOBAL_SET
001443472 980__ $$aBIB
001443472 980__ $$aEBOOK
001443472 982__ $$aEbook
001443472 983__ $$aOnline
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