Developing Students’ Reasoning in Precalculus: Covariational Explorations Enriched by Rates of Change and Limits / / by Andrzej Sokolowski
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| Autore: |
Sokołowski Andrzej
|
| Titolo: |
Developing Students’ Reasoning in Precalculus: Covariational Explorations Enriched by Rates of Change and Limits / / by Andrzej Sokolowski
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Edizione: | 1st ed. 2024. |
| Descrizione fisica: | 1 online resource (525 pages) |
| Disciplina: | 510.71 |
| Soggetto topico: | Mathematics - Study and teaching |
| Teachers - Training of | |
| Mathematics Education | |
| Teaching and Teacher Education | |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Developing Students’ Reasoning in Precalculus: Covariational Explorations Enriched by Rates of Change and Limits |
| ISBN: | 9783031664410 |
| 9783031664403 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910917190103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Springer Texts in Education, . 2366-7680