Research on calculus: what do we know and where do we need to go?
In this introductory paper we take partial stock of the current state of field on calculus
research, exemplifying both the promise of research advances as well as the limitations. We …
research, exemplifying both the promise of research advances as well as the limitations. We …
[图书][B] Teaching and learning of calculus
This “ICME-13 Topical Survey” 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 in the field of learning and teaching Calculus, with a particular focus on established …
Approaches to integration based on quantitative reasoning: Adding up pieces and accumulation from rate
Calculus education research on integration is coalescing around the theme that teaching
integration based on quantitative reasoning is crucial for robust understanding of and usage …
integration based on quantitative reasoning is crucial for robust understanding of and usage …
Learning integrals based on adding up pieces across a unit on integration
BN Stevens, SR Jones - International Journal of Research in …, 2023 - Springer
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 …
integrals. However, this research body is still in need of detailed empirical accounts of how …
Analysis of the meanings of the antiderivative used by students of the first engineering courses
In this article, we present the results of the administration of a questionnaire designed to
evaluate the understanding that civil engineering students have of the antiderivative. The …
evaluate the understanding that civil engineering students have of the antiderivative. The …
Research as a resource in a high-school calculus curriculum
T Dreyfus, A Kouropatov, G Ron - ZDM–Mathematics Education, 2021 - Springer
Documents specifying a national mathematics curriculum for grades K-12 have recently
been written in Israel. We focus on the calculus component for the highest of three …
been written in Israel. We focus on the calculus component for the highest of three …
Scalar and vector line integrals: A conceptual analysis and an initial investigation of student understanding
SR Jones - The Journal of Mathematical Behavior, 2020 - Elsevier
This paper adds to the growing body of research happening in multivariable calculus by
examining scalar and vector line integrals. This paper contributes in two ways. First, this …
examining scalar and vector line integrals. This paper contributes in two ways. First, this …
[PDF][PDF] Difficulties and Performance in Mathematics Competences: Solving Problems with Derivatives.
VD Quezada - Int. J. Eng. Pedagog., 2020 - pdfs.semanticscholar.org
The aim of this research are to assess the performance of engineering students when using
mathematical competences to solve problems with derivatives, to analyze their difficulties …
mathematical competences to solve problems with derivatives, to analyze their difficulties …
Teaching integration: How certain instructional moves may undermine the potential conceptual value of the Riemann sum and the Riemann integral
SR Jones, YR Lim, KR Chandler - International Journal of Science and …, 2017 - Springer
Past research in calculus education has shown that Riemann sum-based conceptions of the
definite integral, such as the multiplicatively based summation (MBS) conception, can have …
definite integral, such as the multiplicatively based summation (MBS) conception, can have …
Students' Positioning and Emotions in Learning Geometric Definition.
W Daher - Journal on Mathematics Education, 2020 - ERIC
The purpose of the present paper is to study the positions and emotions of grade 7 students
who work with technology to learn geometry. This consideration of students' emotions is …
who work with technology to learn geometry. This consideration of students' emotions is …