LEADER 03225nam 22005175 450 001 9910917190103321 005 20250808083356.0 010 $a9783031664410$b(electronic bk.) 010 $z9783031664403 024 7 $a10.1007/978-3-031-66441-0 035 $a(MiAaPQ)EBC31823469 035 $a(Au-PeEL)EBL31823469 035 $a(CKB)36951650700041 035 $a(DE-He213)978-3-031-66441-0 035 $a(EXLCZ)9936951650700041 100 $a20241209d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDeveloping Students? Reasoning in Precalculus: Covariational Explorations Enriched by Rates of Change and Limits /$fby Andrzej Sokolowski 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (525 pages) 225 1 $aSpringer Texts in Education,$x2366-7680 311 08$aPrint version: Sokolowski, Andrzej Developing Students' Reasoning in Precalculus: Covariational Explorations Enriched by Rates of Change and Limits Cham : Springer,c2025 9783031664403 327 $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. 330 $aThis book aims to develop high school and undergraduate students? covariational reasoning and algebraic skills to succeed in calculus and STEM subjects. The book reflects on contemporary research in math education where students explore algebraic tools and reason mathematically to construct new knowledge. The volume is made up of six chapters covering polynomial, rational, and transcendental functions. An early introduction of limits to support the analyses of linear functions progresses to other book chapters ensuring consistency, parallelism, and a scaffold knowledge delivery. A gradual introduction to function rates of change along with function monotonicity and concavity intertwines with modeling techniques that merge students? mathematical reasoning with scientific contexts. A forthcoming online component of the book consists of ready-to-download exploratory modeling activities and worksheets that further solidify students? fluency in understanding how to apply abstract math concepts to gain a deeper understanding of natural and social sciences. 410 0$aSpringer Texts in Education,$x2366-7680 606 $aMathematics$xStudy and teaching 606 $aTeachers$xTraining of 606 $aMathematics Education 606 $aTeaching and Teacher Education 615 0$aMathematics$xStudy and teaching. 615 0$aTeachers$xTraining of. 615 14$aMathematics Education. 615 24$aTeaching and Teacher Education. 676 $a510.71 700 $aSoko?owski$b Andrzej$0738282 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910917190103321 996 $aDeveloping Students? Reasoning in Precalculus: Covariational Explorations Enriched by Rates of Change and Limits$94463803 997 $aUNINA