Developing Students’ Reasoning in Precalculus: Covariational Explorations Enriched by Rates of Change and Limits
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
Develops comprehensive techniques of analyzing fundamental functions Brings forth limits and rates as essential algebraic tools supporting mathematical reasoning and explorations Serves as a core textbook or supplemental resource for undergraduate and high school math courses
Autor*in
Andrzej Sokolowski
Themen in »Developing Students’ Reasoning in Precalculus: Covariational Explorations Enriched by Rates of Change and Limits«
developing students’ covariational reasoning in mathematics modeling the concept of limits covariational reasoning and function limits applying conceptual domain of mathematics teaching students reason mathematically learning the concept of limits in contexts perspective of function development in mathematics modeling to formulate covariational structures constructivist approach to teaching limits