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Pradina Parameswari; Purwanto; Sudirman; Susiswo – Mathematics Teaching Research Journal, 2024
Students' difficulties in differentiating the direct proportion and inverse proportion problems cause interference. Proactive interference is the error that occurs when old information (concept of direct proportion) interferes with new information (concept of inverse proportion). In solving the problem of inverse proportion, students often use the…
Descriptors: Problem Solving, Mathematical Concepts, Mathematics Instruction, Grade 8
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
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
Anass El Guenyari; Mohamed Chergui; Bouazza El Wahbi – Mathematics Teaching Research Journal, 2024
The present study falls into the efforts to improve practices for addressing errors produced by learners in various situations involving the calculation of integrals. We attempt to clarify as precisely as possible the types of errors that secondary school students produce when using integrals in algebraic and graphical frames. Based on the…
Descriptors: Calculus, Error Patterns, Factor Analysis, Mathematics Instruction
Topic Specificity of Students' Conceptual and Procedural Fraction Knowledge and Its Impact on Errors
Katja Lenz; Frank Reinhold; Gerald Wittmann – Research in Mathematics Education, 2024
When learning about fractions, teaching usually follows certain topics -- e.g. part of the whole, fraction equivalence, and size comparison. Not yet answered is whether students' conceptual and procedural knowledge of fractions is coherent between those topics. To answer this question, we performed a latent profile analysis of data from N = 1005…
Descriptors: Fractions, Error Patterns, Mathematics Instruction, Concept Formation
Iwan Setiawan HR; Purwanto; Sukoriyanto; I Nengah Parta – International Journal of Educational Methodology, 2023
This study aims to evaluate cognitive conflict in constructing mathematical concepts, based on thinking errors. The data were collected through observations of words or sentences, leading to the derivation of qualitative outputs. Furthermore, the results showed that the two selected subjects experienced cognitive conflicts regarding thinking…
Descriptors: Cognitive Processes, Conflict, Thinking Skills, Error Patterns
Yue Zhang; Max Stephens; Xiaomei Liu – Asia-Pacific Journal of Teacher Education, 2024
The study aimed to establish an assessment model for mathematics teachers' knowledge of students' misconceptions in the "Space and Shape" domain, develop the testing tool, investigate and analyse the overall and differences in performance, and propose suggestions for improvement. The assessment model included content knowledge and…
Descriptors: Foreign Countries, Elementary School Teachers, Mathematics Teachers, Knowledge Level
Altun, Solmaz Damla Gedik – Shanlax International Journal of Education, 2022
The teacher must, first of all, have a good knowledge of mathematics to detect the errors in the student's mathematical knowledge and to identify the general situation in the classroom. This depends on the mathematical knowledge gained in the teacher training schools. General mathematics topics occupying an important place in the departments of…
Descriptors: Preservice Teachers, Error Patterns, Science Teachers, Mathematical Concepts
Analisa Fitria; Subanji; Susiswo; Hery Susanto – Mathematics Teaching Research Journal, 2023
This study diagnoses and explores year eight students' misconceptions and mistakes in algebra. An in-depth exploration of students' misconceptions were carried out by conducting interviews based on the students' work as outlined in a cognitive map. Based on the cognitive maps, it can be seen that the students emphasize procedural knowledge rather…
Descriptors: Cognitive Mapping, Misconceptions, Algebra, Mathematical Concepts
Mutambara, Lillias Hamufari Natsai; Bansilal, Sarah – International Journal of Mathematical Education in Science and Technology, 2022
Many mathematics education researchers agree that students struggle to understand the key concepts in linear algebra courses. The purpose of this study was to examine in-service teachers' errors and misconceptions in the area of linear combinations. The participants were 73 Zimbabwean mathematics teachers who were enrolled in an in-service…
Descriptors: Mathematics Instruction, Mathematics Teachers, Error Patterns, Misconceptions
Nadide Yilmaz – Electronic Journal for Research in Science & Mathematics Education, 2024
Many countries do not include the normal distribution concept in their middle school mathematics curriculum, but on the grounds that middle school mathematics teachers need to know more than just mathematics, researchers argue that preservice teachers (PTs) ought to have knowledge and skills in this area. This study was aimed to investigate PTs'…
Descriptors: Mathematics Instruction, Pedagogical Content Knowledge, Mathematical Concepts, Preservice Teachers
Msomi, Alfred Mvunyelwa; Bansilal, Sarah – International Electronic Journal of Mathematics Education, 2022
Laplace transform (LT) is an essential mathematical tool for solving linear ordinary differential equations (ODE) with boundary values, by transforming differential equation into algebraic equations which are easier to manipulate. In this article, we analyse the errors students make and misconceptions they have in solving linear ODE using LT…
Descriptors: Mathematics Instruction, Error Patterns, Misconceptions, Equations (Mathematics)
Marijana Zeljic; Milana Dabic Boricic; Svetlana Ilic – Journal of Educational Research, 2024
Previous research examining comparison relations in word problems primarily focused on students' achievements in word problems with one operation. In this paper, we extend previous research to examine the achievement of students of different ages on word problems that integrate compare and combine word problems, hereafter referred to as…
Descriptors: Mathematics Education, Word Problems (Mathematics), Mathematical Concepts, Vocabulary
Aydin-Güç, Funda; Aygün, Derya – International Online Journal of Education and Teaching, 2021
The study aimed to determine the mistakes of students in operations with algebraic expressions, and their misconceptions that may lead to errors. The study adopted case study method, one of the qualitative research models. The participants were composed of 48 (24 boys, 24 girls) randomly selected among 8th grade students in three different classes…
Descriptors: Error Patterns, Misconceptions, Mathematical Concepts, Equations (Mathematics)
Espino, Alejandro Ecos; Núñez, Joffré Huamán; Moscoso, Braulio Barzola; Chávez, Zoraida Manrique; Alvitez, Alejandro Rumaja; Cajo, Oscar García – International Association for Development of the Information Society, 2020
The study of the variational behavior of functions constitutes an important element in the understanding of the change of phenomena in real life. His understanding is an essential axis in the mathematical training of university students, especially those who pursue engineering careers. This article presents the results of a study whose objective…
Descriptors: Engineering Education, College Students, Error Patterns, Mathematics