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Rana J. Y. Aleifat; Ahmad A. S. Tabieh – International Electronic Journal of Mathematics Education, 2025
The purpose of this study is to conduct a bibliometric analysis of the research published in the field of mathematics misconception from 1947 to 2023, to determine the general knowledge structure and participation in research publication. An analytical approach was used based on Scopus database data. This study used mixed methods; quantitative…
Descriptors: Literature Reviews, Bibliometrics, Content Analysis, Mathematics
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Philip Todd; Danny Aley – International Journal for Technology in Mathematics Education, 2023
Music provides an excellent setting for students to explore trigonometric functions in a setting which is independent of their utility in resolving triangles. In this paper, we present several investigations using trigonometric functions to model musical phenomena. From a mathematical technology point of view, most examples require only function…
Descriptors: Trigonometry, Music, Models, Technology Uses in Education
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Regina Mahadewsing; Diana Getrouw; Sharon M. Calor – International Electronic Journal of Mathematics Education, 2024
We conducted a descriptive study among first-year engineering students at the Anton de Kom University of Suriname. We analyzed students' errors regarding necessary prior knowledge in a calculus A exam. We found that the stage of the solution in which prior knowledge is required impacts the importance of prior knowledge. We also found that many…
Descriptors: Foreign Countries, College Freshmen, Engineering Education, Error Patterns
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Baum, Dave – Physics Teacher, 2020
In a recent submission to "The Physics Teacher," we related how trigonometric identities can be used to find the extremes of several functions in order to solve some standard physics problems that would usually be considered to require calculus. In this work, the functions to be examined are polynomials, which suggests the utilization of…
Descriptors: Physics, Problem Solving, Calculus, Trigonometry
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Hurdle, Zachariah Benton; Mogilski, Wiktor – International Electronic Journal of Mathematics Education, 2022
We conducted a quantitative analysis to determine how the prerequisite path of students taking calculus I impacts their grade performance. We began by investigating the performance of students that took college algebra and trigonometry versus those that took pre-calculus ahead of their credit-bearing calculus I attempt. We concluded that there was…
Descriptors: College Students, Calculus, Prerequisites, Required Courses
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Avcu, Seher; Biber, Belma Türker – International Journal of Mathematical Education in Science and Technology, 2022
In this study, the conceptualizations used by prospective middle school mathematics teachers when defining, representing, and exemplifying the slope concept and relating it with other mathematical situations were examined. Participants' conceptualizations were identified by Nagle, C., Moore-Russo, D., Viglietti, J., & Martin, K. [(2013).…
Descriptors: Foreign Countries, Preservice Teachers, Mathematics Teachers, Middle School Teachers
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Alyami, Hanan – Research in Mathematics Education, 2023
Despite the use of axiomatic definitions for mathematical concepts, scholars struggle to produce a single definition of angle that does not have some limitations. Textbooks' treatment of angle and its measure reflects this multifaceted nature of the angle concept while informing the different ways learners conceive of these concepts. In this…
Descriptors: Mathematical Concepts, Mathematics Instruction, Definitions, Textbook Content
Scott Cameron; Lynda Ball; Vicki Steinle – Mathematics Education Research Group of Australasia, 2024
This paper reports changes in the extent to which a group of Year 11 students used a Computer Algebra System (CAS), pen-and-paper (P&P), or a combination of both, when solving routine problems across seven months in four different topics. Comparing the frequency of CAS use across topics shows students made greater use of CAS in the topics of…
Descriptors: Foreign Countries, High School Students, Grade 11, Mathematics Education
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Wang, Lu – Journal of Research and Advances in Mathematics Education, 2021
Prior research showed a gender effect on spatial ability, math anxiety, and math achievement. Lacking, however, is a comprehensive study that tested the mediation effects of spatial ability and math anxiety between gender and math achievement in a sequential mediation model. To fill this gap, this pilot study tested two mediation relationships,…
Descriptors: Spatial Ability, Mathematics Anxiety, Mathematics Achievement, Gender Differences
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Hoban, Richard A. – International Journal of Mathematical Education in Science and Technology, 2021
Many students do not have a deep understanding of slope. This paper defines what a deep understanding of slope is in terms of mathematics-education theory. The various factors which help explain why such a deep understanding is difficult to acquire are then discussed. These factors include the following: the different representations for slope;…
Descriptors: Mathematical Concepts, Concept Formation, Mathematics Instruction, College Freshmen
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Ellis, Amy B.; Lockwood, Elise; Tillema, Erik; Moore, Kevin – Cognition and Instruction, 2022
Generalization is a critical component of mathematical reasoning, with researchers recommending that it be central to education at all grade levels. However, research on students' generalizing reveals pervasive difficulties in creating and expressing general statements, which underscores the need to better understand the processes that can support…
Descriptors: Generalization, Mathematics Instruction, Algebra, Advanced Courses
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O'Meara, Niamh; Faulkner, Fiona – Irish Educational Studies, 2022
Research shows that teachers influence students' attitudes towards; performance in; and perceptions of a subject. Hence, the need to improve the teaching and learning of many curricular subjects has been well documented for many years. This paper focusses on efforts made to develop competence among out-of-field teachers of mathematics and…
Descriptors: Faculty Development, Mathematics Instruction, Secondary School Teachers, Teacher Effectiveness
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Wu, Lina; Li, Ye – Journal of Education and Learning, 2018
Teaching mathematics by project-based learning (PBL) method on the use of educational technology offers an innovative teaching pedagogy at college. The "World Culture Art Created with Calculus Graphs of Equations" poster project was designed by the first author and was completed in the pilot Calculus course during the spring 2016…
Descriptors: Teaching Methods, Mathematics Instruction, Student Projects, College Mathematics
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Champion, Joe; Mesa, Vilma – PRIMUS, 2018
In this paper, we present findings from a preliminary analysis of transcript data in the High School Longitudinal Study (HSLS:09), a large-scale longitudinal investigation of academic achievement among U.S. high school students. Using proportional flow diagrams of course-taking patterns, we illustrate differences in calculus completion associated…
Descriptors: Calculus, Mathematics Instruction, Longitudinal Studies, High School Students
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Mokry, Jeanette – PRIMUS, 2016
This article discusses preparation assignments used in a Calculus II course that cover material from prerequisite courses. Prior to learning new material, students work on problems outside of class involving concepts from algebra, trigonometry, and Calculus I. These problems are directly built upon in order to answer Calculus II questions,…
Descriptors: Calculus, Assignments, Prerequisites, Instructional Materials
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