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001 978-3-031-66441-0
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020 _a9783031664410
_9978-3-031-66441-0
024 7 _a10.1007/978-3-031-66441-0
_2doi
050 4 _aQA10.92-20
072 7 _aJNU
_2bicssc
072 7 _aPB
_2bicssc
072 7 _aEDU029010
_2bisacsh
072 7 _aJNU
_2thema
072 7 _aPB
_2thema
100 1 _aSokolowski, Andrzej.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988689
245 1 0 _aDeveloping Students’ Reasoning in Precalculus: Covariational Explorations Enriched by Rates of Change and Limits
_h[electronic resource] /
_cby Andrzej Sokolowski.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXII, 515 p. 245 illus., 222 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Texts in Education,
_x2366-7680
505 0 _a1. Function, an Entity Relating Variables and Parameters -- 2. Linear and Quadratic Functions -- 3. Analysis of Higher Degree Polynomial Functions -- 4. Rational Functions -- 5. Exponential Functions -- 6. Logarithmic Functions.
520 _aThis book aims to develop high school and undergraduate students’ covariational reasoning and algebraic skills to succeed in calculus and STEM subjects. The book reflects on contemporary research in math education where students explore algebraic tools and reason mathematically to construct new knowledge. The volume is made up of six chapters covering polynomial, rational, and transcendental functions. An early introduction of limits to support the analyses of linear functions progresses to other book chapters ensuring consistency, parallelism, and a scaffold knowledge delivery. A gradual introduction to function rates of change along with function monotonicity and concavity intertwines with modeling techniques that merge students’ mathematical reasoning with scientific contexts. A forthcoming online component of the book consists of ready-to-download exploratory modeling activities and worksheets that further solidify students’ fluency in understanding how to apply abstract math concepts to gain a deeper understanding of natural and social sciences.
650 0 _aMathematics
_xStudy and teaching .
_959955
650 0 _aTeachers
_xTraining of.
_958400
650 1 4 _aMathematics Education.
_968855
650 2 4 _aTeaching and Teacher Education.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031664403
776 0 8 _iPrinted edition:
_z9783031664427
830 0 _aSpringer Texts in Education,
_x2366-7680
_974668
856 4 0 _uhttps://doi.org/10.1007/978-3-031-66441-0
912 _aZDB-2-EDA
912 _aZDB-2-SXED
999 _c65575
_d65575