La comprensión de la noción de derivada presenta dificultades para los estudiantes de
Bachillerato (16–18 años) y primeros años de Cálculo en la Universidad. En dicho contexto …

Researchers are currently investigating how calculus students understand the basic
concepts of first-year calculus, including the integral. However, much is still unknown …

In the early 1980s, to complement a previous PME emphasis on elementary mathematical
thinking, some PME members, chiefly Gontran Ervynck and David Tall, wanted to consider …

An overview of the conceptual underpinnings, reasoning abilities and notational issues
related to learning the Fundamental Theorem of Calculus (FTC) is provided. Using this …

This paper discusses aspects and Grundvorstellungen in the development of concepts of
derivative and integral, which are considered central to the teaching of calculus in senior …

Recent research on integration has shown the importance of quantities-based meanings for
integrals. However, this research body is still in need of detailed empirical accounts of how …

This study aims to broadly examine how commonly various conceptualizations of the definite
integral are drawn on by students as they attempt to explain the meaning of integral …

This study investigates how students understand and apply the area under the curve
concept and the integral-area relation in solving introductory physics problems. We …

In a study of student understanding of negative definite integrals at two institutions, we
administered a written survey and follow-up clinical interviews at one institution and found …

International Journal of Research in Undergraduate Mathematics Education (2023) 9: 1–7
population. Rather, the ability to interpret integrals in context and to model quantitative …