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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
Konstantinos P. Christou; Courtney Pollack; Eleni Karagiannidou – Instructional Science: An International Journal of the Learning Sciences, 2025
The ability to solve equations and inequalities is necessary for success in algebra. However, reasoning biases and misconceptions may create barriers for students to build knowledge of algebraic symbols and their values. This study investigated whether students' errors when solving equations and inequalities could be attributed to their tendency…
Descriptors: Foreign Countries, Grade 9, Mathematics Education, Mathematical Concepts
Meagher, Michael S.; Lovett, Jennifer N.; McCulloch, Allison W. – School Science and Mathematics, 2023
Middle school students (n = 144) worked with an applet specially designed to introduce the concept of function without using algebraic representations. The purpose of the study was to examine whether the applet would help students understand function as a relationship between a set of inputs and a set of outputs and to begin to develop a…
Descriptors: Middle School Students, Concept Formation, Educational Technology, Algebra
John P. Papadouris; Vassilis Komis; Konstantinos Lavidas – Mathematics Education Research Journal, 2025
Although absolute value is of interest to mathematics teaching researchers, since many students face problems with it, there does not seem to be an integrated record of students' errors. The present study attempts to conduct a systematic review to identify and categorize errors and misconceptions of secondary school students aged 12-18 concerning…
Descriptors: Error Patterns, Misconceptions, Secondary School Students, Secondary School Mathematics
Figen Bozkus; Özlem Kalayci; Zülbiye Toluk Uçar – Journal of Pedagogical Research, 2025
There is a strong relationship between the quality of education, teachers' decisions and instructional actions, and knowledge. All of them have an important role outcome of the lesson and students' learning. The focus of this study was to discover how the process of students' learning or incapability of learning was affected by teaching practices.…
Descriptors: Mathematics Instruction, Teaching Methods, Algebra, Middle School Mathematics
Aziz Ilhan; Serdal Poçan – Tuning Journal for Higher Education, 2025
When the challenges faced in the transition period from arithmetic to algebra are considered, it is important to research the differences between secondary school mathematics teachers from Generations X and Y, and their awareness levels. This study aims to compare the algebraic operation skills of mathematics teachers from Generations X and Y and…
Descriptors: Algebra, Secondary School Mathematics, Mathematics Instruction, Secondary School Teachers
Nancy Otero; Stefania Druga; Andrew Lan – Discover Education, 2025
This study introduces an evaluation benchmark for middle school algebra to be used in artificial intelligence (AI) based educational platforms. The goal is to support the design of AI systems that can enhance learners' conceptual understanding of algebra by taking into account learners' current level of algebra comprehension. The dataset comprises…
Descriptors: Benchmarking, Misconceptions, Mathematical Concepts, Secondary School Mathematics
Aschale Moges Belay; France Machaba; Tšhegofatšo Phuti Makgakga – Research in Social Sciences and Technology, 2024
This research article is about "Introducing a Supportive Framework to Address Students' Misconceptions and Difficulties in Learning Mathematical proof techniques (MPT): A Case of Debark University". This study aims to develop, introduce, and implement a supportive framework to overcome students' misconceptions and difficulties in MPT.…
Descriptors: Foreign Countries, Mathematics Instruction, Mathematical Logic, Validity
Bronwyn Reid O'Connor; Stephen Norton – Mathematics Education Research Journal, 2024
An important topic of study in secondary mathematics is non-linear functions, including quadratic equations. In this study, findings from 25 Year 11 students indicated that difficulties with critical prerequisite concepts such as algebraic conventions impeded students' success in understanding and working with quadratics. Analysis of student…
Descriptors: Mathematics Instruction, Secondary School Students, Grade 11, Mathematical Concepts
Philile Nobuhle Mathaba; Anass Bayaga; Daniela Tîrnovan; Michael J. Bossé – Journal on Mathematics Education, 2024
This research investigates errors and misconceptions among learners in algebraic education by utilizing Koch's error analysis method alongside the Structure of the Observed Learning Outcome (SOLO) taxonomy. The primary aim of the investigation is to discern the kinds of errors and cognitive stages demonstrated by Grade 9 students when engaged in…
Descriptors: Algebra, Misconceptions, Cognitive Ability, Mathematics Education
Moru, Eunice Kolitsoe; Mathunya, Motlatsi – Journal of Research and Advances in Mathematics Education, 2022
Algebra is an important branch of mathematics which applies to many fields related to mathematics. However, many studies show algebra as posing problems even to the most gifted students. This phenomenon, therefore, necessitates more studies to be conducted in this area. As such, the study explored the types of errors that Grade 8 learners…
Descriptors: Constructivism (Learning), Error Patterns, Misconceptions, Algebra
Frank Feudel; Alexander Unger – International Journal of Mathematical Education in Science and Technology, 2025
In tertiary mathematics courses, students often have difficulties acquiring an understanding of the mathematical concepts covered. One approach to address this problem is to implement so-called Concept-Tests. These are multiple-choice questions whose distractors represent common problems and misconceptions related to the concepts. While there…
Descriptors: College Mathematics, Mathematics Instruction, Mathematical Concepts, Concept Formation
Bulelwa Penelope Stemele; Zaheera Jina Asvat – African Journal of Research in Mathematics, Science and Technology Education, 2024
South African learners' performance in mathematics, both locally and internationally, has raised significant concerns, particularly in the realm of algebra. To address this issue, a mixed-methods study was conducted to explore the effectiveness of using algebra tiles to teach algebraic expressions. The study aimed to investigate algebraic…
Descriptors: Error Patterns, Misconceptions, Algebra, Middle School Students
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
Sükrü Ilgün; Solmaz Damla Gedik Altun; Alper Cihan Konyalioglu – Educational Policy Analysis and Strategic Research, 2023
The aim of this study is to examine the ability of pre-service mathematics teachers to detect errors made in solving questions about matrices. The study particularly focused on revealing the internalization of the teachings such as the meanings and relational dimensions of concepts and operations about matrix. The study was conducted with 26…
Descriptors: Preservice Teachers, Mathematics Teachers, Error Patterns, Matrices

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