Publication Date
In 2025 | 0 |
Since 2024 | 0 |
Since 2021 (last 5 years) | 12 |
Since 2016 (last 10 years) | 37 |
Since 2006 (last 20 years) | 75 |
Descriptor
Calculus | 81 |
Mathematical Logic | 81 |
Teaching Methods | 81 |
Mathematics Instruction | 70 |
Mathematical Concepts | 46 |
College Mathematics | 37 |
Validity | 36 |
Problem Solving | 21 |
Foreign Countries | 20 |
Concept Formation | 19 |
Algebra | 17 |
More ▼ |
Source
Author
Publication Type
Education Level
Higher Education | 47 |
Postsecondary Education | 29 |
Secondary Education | 17 |
High Schools | 9 |
Elementary Secondary Education | 5 |
Elementary Education | 3 |
Grade 11 | 2 |
Middle Schools | 2 |
Early Childhood Education | 1 |
Junior High Schools | 1 |
Audience
Teachers | 11 |
Practitioners | 1 |
Location
Israel | 4 |
Canada | 3 |
Singapore | 3 |
Australia | 2 |
Germany | 2 |
Japan | 2 |
Netherlands | 2 |
Philippines | 2 |
South Korea | 2 |
Taiwan | 2 |
United Kingdom | 2 |
More ▼ |
Laws, Policies, & Programs
Assessments and Surveys
Praxis Series | 1 |
Program for International… | 1 |
What Works Clearinghouse Rating
Does not meet standards | 1 |
Kalman, Dan – PRIMUS, 2023
In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely provide exposure to both. In this paper, we show how each approach can be improved by incorporating an aspect of the other, based on a little known synthesis…
Descriptors: Mathematics Education, Calculus, Teaching Methods, Mathematical Models
Harel, Guershon – ZDM: Mathematics Education, 2021
The paper presents analyses of multivariable calculus learning-teaching phenomena through the lenses of DNR-based instruction, focusing on several foundational calculus concepts, including "cross product," "linearization," "total derivative," "Chain Rule," and "implicit differentiation." The…
Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Mathematical Concepts
Soosloff, Elisa; Huey, Maryann; Alexander, Daniel S. – PRIMUS, 2023
In this reflection of teaching, we describe a series of activities that introduce the Taylor series through dynamic visual representations with explicit connections to students' prior learning. Over the past several decades, educators have noted that curricular materials tend to present the Taylor series in a way that students often interpret as…
Descriptors: Mathematics Instruction, Visual Aids, Prior Learning, Teaching Methods
Nystedt, Patrik – International Journal of Mathematical Education in Science and Technology, 2021
We use Taylor's formula with Lagrange remainder to prove that functions with bounded second derivative are rectifiable in the case when polygonal paths are defined by interval subdivisions which are equally spaced. As a means for generating interesting examples of exact arc length calculations in calculus courses, we recall two large classes of…
Descriptors: Mathematical Formulas, Mathematics Instruction, Calculus, Equations (Mathematics)
Engelke Infante, N. – PRIMUS, 2021
In calculus, related rates problems are some of the most difficult for students to master. This is due, in part, to the nature of the problems, which require constructing a nuanced mental model and a solid understanding of the function. Many textbooks present a procedure for their solution that is unlike how experts approach the problem and elide…
Descriptors: Mathematics Instruction, College Mathematics, Calculus, Schemata (Cognition)
Nystedt, P. – International Journal of Mathematical Education in Science and Technology, 2020
We use Taylor's formula with Lagrange remainder to make a modern adaptation of Poisson's proof of a version of the fundamental theorem of calculus in the case when the integral is defined by Euler sums, that is Riemann sums with left endpoints which are equally spaced. We discuss potential benefits for such an approach in basic calculus courses.
Descriptors: Calculus, Mathematics Instruction, Mathematical Formulas, Validity
Hamdan, May – International Journal of Mathematical Education in Science and Technology, 2019
The literature dealing with student understanding of integration in general and the Fundamental Theorem of Calculus in particular suggests that although students can integrate properly, they understand little about the process that leads to the definite integral. The definite integral is naturally connected to the antiderivative, the area under…
Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Mathematical Logic
Broley, Laura; Hardy, Nadia – International Journal of Research in Undergraduate Mathematics Education, 2022
Research using the Anthropological Theory of the Didactic suggests different models of how student learning may evolve in the progression of undergraduate mathematics coursework: from elementary courses in Calculus to more advanced courses in Analysis. An ideal model suggests that the theory-driven learning in the latter serves as a natural…
Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Task Analysis
Adiredja, Aditya P. – PRIMUS, 2021
The complexity in understanding the [epsilon-delta] definition has motivated research into the teaching and learning of the topic. In this paper I share my design of an instructional analogy called the Pancake Story and four different questions to explore the logical relationship between [epsilon] and [delta] that structures the definition. I…
Descriptors: Mathematics Instruction, College Mathematics, Teaching Methods, Calculus
Julius, Rafael; Halim, Muhammad Syawal Abd; Hadi, Normi Abdul; Alias, Azrul Nizam; Khalid, Muhammad Hafiz Mohd; Mahfodz, Zulfadli; Ramli, Fariesha Farha – EURASIA Journal of Mathematics, Science and Technology Education, 2021
This study presents a bibliometric analysis of research on mathematics education from 1980 through 2020. The purpose of the study is to provide scientific data on the distribution pattern of mathematics education journals, the most prolific authors, countries, institutions, current research topics, potential international collaboration, and…
Descriptors: Bibliometrics, Mathematics Education, Databases, Algebra
Bussotti, Paolo – International Baltic Symposium on Science and Technology Education, 2021
This research deals with a possible use of history of mathematics in mathematics education. In particular, history can be a fundamental element for the introduction of the concept of integral through a problem-centred and intuitive approach. Therefore, what follows is dedicated to the teaching of mathematics in the last years of secondary schools,…
Descriptors: Calculus, Mathematics Education, Interdisciplinary Approach, Teaching Methods
Wieman, Rob; Freedman, Lindsay; Albright, Paul; Nolen, Deb; Onda, Jessica – Mathematics Teacher: Learning and Teaching PK-12, 2021
During professional development, the authors learned about strings--a powerful instructional routine used in elementary classrooms to elicit students' mental mathematics strategies and use those strategies to build conceptual understanding. Strings provided the authors with a way to make relatively small changes to guided notes in algebra 1,…
Descriptors: Mathematics Instruction, Teaching Methods, Elementary School Mathematics, Mental Computation
Moru, Eunice Kolitsoe – African Journal of Research in Mathematics, Science and Technology Education, 2020
The derivative is a central concept in calculus and has applications in many disciplines. This study explored students' understanding of derivatives with a particular focus on the graphical (geometric) representation. The participants were four Mathematics Honours students from a university in Lesotho. Data were generated from the written…
Descriptors: Foreign Countries, Mathematics Instruction, Calculus, Mathematical Concepts
Jones, Steven R. – Educational Studies in Mathematics, 2018
Many mathematical concepts may have prototypical images associated with them. While prototypes can be beneficial for efficient thinking or reasoning, they may also have self-attributes that may impact reasoning about the concept. It is essential that mathematics educators understand these prototype images in order to fully recognize their benefits…
Descriptors: Mathematics Instruction, Models, Mathematical Concepts, Concept Formation
Kondratieva, Margo; Winsløw, Carl – International Journal of Research in Undergraduate Mathematics Education, 2018
We present a theoretical approach to the problem of the transition from Calculus to Analysis within the undergraduate mathematics curriculum. First, we formulate this problem using the anthropological theory of the didactic, in particular the notion of praxeology, along with a possible solution related to Klein's "Plan B": here,…
Descriptors: Mathematics Instruction, Teaching Methods, Calculus, Computation