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The Structure of Students' Mathematical Errors in Solving Calculus Problems Based on Cognitive Style
In Hi. Abdullah; Hery Suharna; Mustafa AH. Ruhama – International Education Studies, 2024
The understanding mathematical concept is an error that often occurs in classroom learning among students when solving mathematical problems. The most difficult part for students is solving problems, because it requires numeracy skills, high concept mastery, as well as the ability to use good language, and so on so that students don't make any…
Descriptors: Error Patterns, Problem Solving, Cognitive Style, Calculus
Arefaine, Nigusse; Michael, Kassa; Assefa, Shimelis – Asian Journal of Education and Training, 2022
Multiple representations cultivate students' mathematical mindset. However, research results have reported that students do not benefit from these tools due to lack of representational fluency. This study was designed to determine the impact of GeoGebra assisted multiple representations approach on students' representation translation performance…
Descriptors: Calculus, Mathematics Achievement, Mathematics Instruction, Error Patterns
Rodríguez-Nieto, Camilo Andrés; Font, Vicenç; Rodríguez-Vásquez, Flor Monserrat; Pino-Fan, Luis Roberto – Journal on Mathematics Education, 2023
An onto-semiotic analysis of the mathematical connections established by one in-service mathematics teachers and university students when solving a problem about launching a projectile using the derivative was carried out. Theoretically, this research was based on the articulation between the Extended Theory of Mathematical Connections and the…
Descriptors: Mathematics Instruction, Semiotics, Teaching Methods, Task Analysis
Guce, Ivee K. – International Journal of Evaluation and Research in Education, 2017
Despite the efforts to confirm the effectiveness of writing in learning mathematics, analysis on common errors in mathematical writings has not received sufficient attention. This study aimed to provide an account of the students' procedural explanations in terms of their commonly committed errors in mathematical writing. Nine errors in…
Descriptors: Expository Writing, College Mathematics, Error Analysis (Language), Error Patterns
Li, Voon Li; Julaihi, Nor Hazizah; Eng, Tang Howe – Asian Journal of University Education, 2017
The paper presents the results of a case study examining students' difficulties in the learning of integral calculus. It sought to address the misconceptions and errors that were encountered in the students' work solution. In quantitative study, the marks obtained by 147 students of Diploma in Computer Science in advanced calculus examinations…
Descriptors: Misconceptions, Calculus, Mathematics Instruction, Case Studies
Awofala, Adeneye O. A.; Odogwu, Helen N. – Acta Didactica Napocensia, 2017
The study investigated mathematics cognitive failures as related to mathematics anxiety, gender and performance in calculus among 450 preservice teachers from four public universities in the South West geo-political zone of Nigeria using the quantitative research method within the blueprint of the descriptive survey design. Data collected were…
Descriptors: Preservice Teachers, Calculus, Undergraduate Students, Mathematics Anxiety
Dorko, Allison; Speer, Natasha – Investigations in Mathematics Learning, 2015
Units of measure are critical in many scientific fields. While instructors often note that students struggle with units, little research has been conducted about the nature and extent of these difficulties or why they exist. We investigated calculus students' unit use in area and volume computations. Seventy-three percent of students gave…
Descriptors: Undergraduate Students, College Mathematics, Calculus, Geometric Concepts
Gerhardt, Ira – PRIMUS, 2015
An experiment was conducted over three recent semesters of an introductory calculus course to test whether it was possible to quantify the effect that difficulty with basic algebraic and arithmetic computation had on individual performance. Points lost during the term were classified as being due to either algebraic and arithmetic mistakes…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Calculus
Muzangwa, Jonatan; Chifamba, Peter – Acta Didactica Napocensia, 2012
This paper is going to analyse errors and misconceptions in an undergraduate course in Calculus. The study will be based on a group of 10 BEd. Mathematics students at Great Zimbabwe University. Data is gathered through use of two exercises on Calculus 1&2.The analysis of the results from the tests showed that a majority of the errors were due…
Descriptors: Misconceptions, Mathematics Instruction, College Mathematics, Calculus
Gardenier, George H.; Gui, Feng; Demas, James N. – Journal of Chemical Education, 2011
Complex error propagation is reduced to formula and data entry into a Mathcad worksheet or an Excel spreadsheet. The Mathcad routine uses both symbolic calculus analysis and Monte Carlo methods to propagate errors in a formula of up to four variables. Graphical output is used to clarify the contributions to the final error of each of the…
Descriptors: Monte Carlo Methods, Computer Software, Calculus, Mathematics Education
Gordon, Sheldon P. – PRIMUS, 2005
The possibility of approximating a function with a linear combination of exponential functions of the form e[superscript x], e[superscript 2x], ... is considered as a parallel development to the notion of Taylor polynomials which approximate a function with a linear combination of power function terms. The sinusoidal functions sin "x" and cos "x"…
Descriptors: Mathematics, Theories, Mathematics Education, Calculus