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Developing students' reasoning in precalculus = covariational explorations enriched by rates of change and limits /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Developing students' reasoning in precalculus/ by Andrzej Sokolowski.
Reminder of title:	covariational explorations enriched by rates of change and limits /
Author:	Sokołowski, Andrzej.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xii, 515 p. :ill. (chiefly color), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Precalculus. -
Online resource:	https://doi.org/10.1007/978-3-031-66441-0
ISBN:	9783031664410

Developing students' reasoning in precalculus = covariational explorations enriched by rates of change and limits /
Sokołowski, Andrzej.

Developing students' reasoning in precalculuscovariational explorations enriched by rates of change and limits /[electronic resource] :by Andrzej Sokolowski. - Cham :Springer Nature Switzerland :2024. - xii, 515 p. :ill. (chiefly color), digital ;24 cm. - Springer texts in education,2366-7680. - Springer texts in education..

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.

ISBN: 9783031664410

Standard No.: 10.1007/978-3-031-66441-0doiSubjects--Topical Terms:

1015827
Precalculus.

LC Class. No.: QA11.2

Dewey Class. No.: 510.712

Developing students' reasoning in precalculus = covariational explorations enriched by rates of change and limits /
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505 0 $a 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.
520 $a 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.
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