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Showing 1 to 15 of 37 results Save | Export
Barbara Villatoro – ProQuest LLC, 2023
Authors of calculus texts often include graphs in the text with the intent that the graph depicts relationships described in theorems and formulas. Similarly, graphs are often utilized in classroom lectures and discussions for the same purpose. The author or instructor includes function graphs to represent quantitative relationships and how a pair…
Descriptors: Calculus, Graphs, Concept Formation, Mathematical Concepts
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Dogan, Hamide; Shear, Edith; Contreras, Angel F. Garcia; Hoffman, Lion – International Journal of Mathematical Education in Science and Technology, 2022
We investigated understanding of the linear independence concept based on the type and nature of connections displayed in seven non-mathematics majors' interview responses to a set of open-ended questions. Through a qualitative analysis, we identified six categories of frequently displayed connections. There were also recognizable differences in…
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Undergraduate Students
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Nilsen, Hans Kristian; Knutsen, Kristoffer Heggelund – International Journal of Research in Undergraduate Mathematics Education, 2023
In this paper we focus on Norwegian first-year engineering students' interpretations of differentials and definite integrals. Through interviews with 15 engineering students, we investigated how the students interpreted the different symbols involved in the Fundamental Theorem of Calculus (FTC), as displayed in the textbook used in their calculus…
Descriptors: Engineering Education, Teaching Methods, Mathematics Instruction, Student Attitudes
Franklin Yu – ProQuest LLC, 2022
This dissertation reports on three studies about students' conceptions and learning of the idea of instantaneous rate of change. The first study investigated 25 students' conceptions of the idea of instantaneous rate of change. The second study proposes a hypothetical learning trajectory, based on the literature and results from the first study,…
Descriptors: Student Attitudes, Mathematical Concepts, Learning Trajectories, Calculus
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Ala' J. Alnaser; Justin Hoffmeier – International Journal of Mathematical Education in Science and Technology, 2024
Differential equations are widely used tools for modelling the world around us, making a course in differential equations a natural place for students to connect concrete mathematical applications to abstract concepts. Since students grasp the concepts better by applying them, introducing differential equations through modelling becomes essential.…
Descriptors: Mathematics Instruction, Mathematical Models, Advanced Courses, Mathematical Concepts
Wilk, Phuong – ProQuest LLC, 2023
Mathematical notations not only contribute to but also confound the development of the understanding of mathematical concepts (Leinhardt, Zaslavsky & Stein,1990). Inaccurate use of calculus notations is likely to have a significant influence on student conceptual understanding and student assessment scores in the Calculus 1 course. This…
Descriptors: Calculus, Mathematics Instruction, Correlation, Symbols (Mathematics)
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Hogue, Mark; Scarcelli, Dominic – International Journal of Mathematical Education in Science and Technology, 2022
Tangent lines are often first introduced to students in geometry during the study of circles. The topic may be repeatedly reintroduced to students in different contexts throughout their schooling, and often each reintroduction is accompanied by a new, nonequivalent definition of tangent lines. In calculus, tangent lines are again reintroduced to…
Descriptors: Calculus, Mathematics Instruction, Teaching Methods, Mathematical Concepts
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Sayonita Ghosh Hajra; Zareen Gul Aga – PRIMUS, 2024
The manuscript describes a community-based mathematical modeling task that was implemented in a Calculus I classroom to engage students in mathematical modeling. Twenty-five undergraduate students engaged in this activity. These students selected a context that they found interesting, posed questions, developed constraints, came up with solution…
Descriptors: Mathematical Models, Calculus, Undergraduate Students, Mathematics Instruction
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Mark S. Jacobs; Frikkie George; Daniel Anga'ama – Pythagoras, 2023
The outbreak of COVID-19 and the consequent lockdown took the world by surprise, forcing the trimming of the school curriculum and institutions of higher learning to urgently adopt online platforms to continue teaching and learning. This article is a case study that explores the use of a social media platform, WhatsApp, to improve peer learning…
Descriptors: Electronic Learning, Peer Relationship, Social Media, Telecommunications
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Christos Chytas; Sylvia Patricia van Borkulo; Paul Drijvers; Erik Barendsen; Jos L. J. Tolboom – Digital Experiences in Mathematics Education, 2024
Nowadays, mathematics teachers in K-12 strive to promote their students' mathematical knowledge and computational thinking (CT) skills. There is an increasing need for effective CT-embedded mathematics learning material and a better understanding of students' views toward them. In this work, we present the results of a research study, which…
Descriptors: Thinking Skills, Mathematics Instruction, Teaching Methods, Computer Software
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Entit Puspita; Didi Suryadi; Rizky Rosjanuardi – Mathematics Teaching Research Journal, 2023
Various studies have concluded that many students have difficulty understanding concepts related to function derivatives. One of the concepts in function derivatives is higher-order derivatives, primarily the nth derivative pattern. This study aims to: (1) identify various types of learning obstacles experienced by prospective mathematics teacher…
Descriptors: Preservice Teachers, Mathematics Teachers, Teacher Education Programs, Mathematics Instruction
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Wakhata, Robert; Balimuttajjo, Sudi; Mutarutinya, Védaste – Mathematics Teaching Research Journal, 2023
This is an exploratory study considering instructional methods in mathematics education. The study examined misconceptions arising from selected assignments undertaken by sixty-five students. The students were attending a calculus mathematical course unit on limits of functions, in different academic areas offered at selected tertiary institutions…
Descriptors: Teaching Methods, Mathematics Instruction, Misconceptions, Calculus
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Hyland, Diarmaid; van Kampen, Paul; Nolan, Brien – International Journal of Mathematical Education in Science and Technology, 2023
This paper reports on data obtained during semi-structured interviews with students who had recently experienced a guided inquiry approach to learning ordinary differential equations (ODEs) in a service-taught module. Previous research identified the strengths and weaknesses of similar cohorts of students. The results from that research informed…
Descriptors: Student Attitudes, Mathematics Instruction, Teaching Methods, Inquiry
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Goodman, Marina – Mathematics Teacher: Learning and Teaching PK-12, 2021
Students' procedural knowledge and conceptual understanding of matrices can improve when they use technology, in particular spreadsheets, as a tool. Complex real-world applications of matrix calculations are time-consuming and prone to errors if done by hand, yet calculations can be performed easily with spreadsheets. In this article, the author…
Descriptors: Spreadsheets, Mathematics Instruction, Self Concept, Calculus
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Chagwiza, Conilius Jaison; Maharaj, Aneshkumar; Brijlall, Deonarain – African Journal of Research in Mathematics, Science and Technology Education, 2020
In this paper we focused on university mathematics students' mental constructions on the concept limit of a sequence. The aim was to explore the nature of the mental constructions and to contribute to Action-Process-Object-Schema (APOS) theory in terms of instructional strategy for teaching limit of sequences. The belief that understanding…
Descriptors: College Students, Mathematics Instruction, Teaching Methods, Schemata (Cognition)
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