03236nam a22005295i 4500 978-3-031-66441-0 DE-He213 20251030114609.0 cr nn 008mamaa 241209s2024 sz | s |||| 0|eng d 9783031664410 978-3-031-66441-0 10.1007/978-3-031-66441-0 doi QA10.92-20 JNU bicssc PB bicssc EDU029010 bisacsh JNU thema PB thema Sokolowski, Andrzej. author. aut http://id.loc.gov/vocabulary/relators/aut 88689 Developing Students’ Reasoning in Precalculus: Covariational Explorations Enriched by Rates of Change and Limits [electronic resource] / by Andrzej Sokolowski. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XII, 515 p. 245 illus., 222 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Texts in Education, 2366-7680 1. 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. This 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. Mathematics Study and teaching . 59955 Teachers Training of. 58400 Mathematics Education. 68855 Teaching and Teacher Education. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031664403 Printed edition: 9783031664427 Springer Texts in Education, 2366-7680 74668 https://doi.org/10.1007/978-3-031-66441-0 ZDB-2-EDA ZDB-2-SXED 65575 65575