Teaching and Learning of Calculus by David Bressoud, Imène Ghedamsi, Victor Martinez-Luaces, Günter Törner

About this book :-
"Teaching and Learning of Calculus" explores how calculus is taught and understood in schools and universities across different countries. Written by a team of international experts, the book provides deep insights into why students often struggle with concepts like "limits", "derivatives", and "integrals", and how educators can better support their learning. The book highlights key challenges in "calculus instruction", such as the gap between students' prior knowledge and the formalism expected in college-level courses. It discusses how task design, curriculum structure, and teaching strategies can either help or hinder student understanding. The authors also explore the role of technology and visualization in making abstract concepts more accessible. Aimed at teachers, curriculum developers, and math education researchers, this book is both a research summary and a practical guide. It encourages reflective teaching practices and promotes evidence-based changes that improve "student understanding" of core calculus ideas. Whether you're redesigning a syllabus or just want to teach calculus more effectively, this book offers valuable guidance rooted in real classroom experience.

Book Detail :-
Title: Teaching and Learning of Calculus by David Bressoud, Imène Ghedamsi, Victor Martinez-Luaces, Günter Törner
Publisher: Springer, eBook (Creative Commons Licensed)
Year: 2016
Pages: 44
Type: PDF
Language: English
ISBN-10 #: 331932974X
ISBN-13 #: 978-3319329741
License: CC BY 4.0
Amazon: Amazon

About Author :-
The author David Bressoud, Imène Ghedamsi, Victor Martinez-Luaces, Günter Törner is a respected mathematician and educator known for his focus on "innovative teaching" and advancing "student understanding" in mathematics. He has served as president of the Mathematical Association of America and promotes open access to quality math education. "Imène Ghedamsi" is a mathematics educator specializing in calculus teaching and learning. Her research supports better "mathematics education" by exploring effective strategies that help students grasp complex calculus concepts.

Book Contents :-
Introduction - Theoretical Frameworks - Potential and/or Actual Infinity: Beyond the Status Quo - Students’ Difficulties: Dealing with Informal Calculus Thinking - Analysis of Calculus Curricula - Calculus Teachers and Classroom Practices - Current Theoretical Tools for Designing Calculus Tasks - The Use of Technology: A Way for Improving Visualization - Summary and Looking Ahead This book's aims to give a view of some of the main evolutions of the research in the field of learning and teaching Calculus, with a particular focus on established research topics associated to limit, derivative and integral. These evolutions are approached with regard to the main trends in the field of mathematics education such as cognitive development or task design. This overview of research includes a description of the main theoretical frameworks used in the field of Calculus education; descriptions of punctual evolutions approached through the main trends in the field, with a particular attention to the concepts of limits, derivatives, and integrals; a description of the state of Calculus instruction from both the European and American perspectives.

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