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Tsamir, Pessia; Tirosh, Dina – International Journal of Science and Mathematics Education, 2023
This paper aims to broaden the scope of the construct concept image by addressing the mathematically oriented notion of "solution of an algebraic equation." The notion solution of an algebraic equation is not mathematical per se, but it is most prevalent in mathematical communications and in mathematics education. The paper describes…
Descriptors: Problem Solving, Algebra, Equations (Mathematics), Mathematics Education
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
Andi Harpeni Dewantara; Edi Istiyono; Heri Retnawati; Slamet Suyanto – Mathematics Teaching Research Journal, 2024
The issue of students' difficulties in solving context-based mathematics problems has been extensively investigated by numerous studies. However, limited study focus on how pre-service primary school teacher (PSPSTs) encounter difficulties in solving context-based fundamental mathematics problems. To fill this gap, this study aims to investigate…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Teachers, Mathematics Education
Haman, Maciej; Lipowska, Katarzyna – Developmental Science, 2023
In numerical cognition research, the operational momentum (OM) phenomenon (tendency to overestimate the results of addition and/or binding addition to the right side and underestimating subtraction and/or binding it to the left side) can help illuminate the most basic representations and processes of mental arithmetic and their development. This…
Descriptors: Preschool Children, Prior Learning, Mathematics Education, Number Concepts
Conrad Borchers; Paulo F. Carvalho; Meng Xia; Pinyang Liu; Kenneth R. Koedinger; Vincent Aleven – Grantee Submission, 2023
In numerous studies, intelligent tutoring systems (ITSs) have proven effective in helping students learn mathematics. Prior work posits that their effectiveness derives from efficiently providing eventually-correct practice opportunities. Yet, there is little empirical evidence on how learning processes with ITSs compare to other forms of…
Descriptors: Problem Solving, Intelligent Tutoring Systems, Mathematics Education, Learning Processes
Mutambara, Lillias Hamufari Natsai; Bansilal, Sarah – International Electronic Journal of Mathematics Education, 2022
The aim of this paper is to identify errors and misconceptions that student demonstrated when learning linear independence and linear dependence concepts. A case study is presented involving 73 in-service mathematics teachers at a university in Zimbabwe who were studying for a Bachelor of Science Education Honors Degree in mathematics. Data was…
Descriptors: Misconceptions, Error Patterns, Inservice Teacher Education, Mathematics Teachers
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
Umam, Khoerul; Susandi, Ardi Dwi – International Journal of Evaluation and Research in Education, 2022
Identifying students' errors in solving cases of critical thinking skills from two variables of linear equation (TVLE). This was a qualitative study using a descriptive exploratory approach. The participants of the study were first-year students of mathematics education. The method used in this research is a test, interview, and triangulation. The…
Descriptors: Critical Thinking, Thinking Skills, Error Patterns, Problem Solving
Christina Areizaga Barbieri; Elena M. Silla – Journal of Experimental Education, 2024
Prior research highlights a positive effect of incorrect worked examples on mathematics learning. Yet the mechanisms underlying these benefits are unclear. To investigate potential mechanisms of the benefits of various worked example types, we examined process data from a previously published classroom-based experiment. More specifically, we…
Descriptors: Middle School Students, Ethnic Diversity, Racial Relations, Public Schools
Purnomo, Eko Andy; Sukestiyarno, Y. L.; Junaedi, Iwan; Agoestanto, Arief – Mathematics Teaching Research Journal, 2022
Problem-solving is the essence of mathematics and is the main goal in learning mathematics. Many students did not have good problem-solving skills based on the field observations. The problems grew up because the students were not used to solving the problems and the problem-solving stages. They did not include issues with high complexity, such as…
Descriptors: Mathematics Skills, Thinking Skills, Problem Solving, Calculus
Pla-Castells, Marta; Melchor, Carmen; Chaparro, Gisela – Education Sciences, 2021
This work describes how the combination of the mistakes committed by a group of pre-service teachers when solving a Fermi problem, with the representation of the temporal analysis of their resolutions, can offer more in-depth information about their conceptual misconceptions regarding mathematical and modelling concepts. The combined…
Descriptors: Preservice Teachers, Mathematics Skills, Problem Solving, Error Patterns
Yorulmaz, Alper; Dogan, Midrabi Cihangir – Educational Policy Analysis and Strategic Research, 2022
In the current study, it is aimed to determine the activities that need to be done to eliminate the mistakes made by primary school fourth grade students in multiplication and division operations and to present solution suggestions for eliminating these mistakes. The study employed action research, one of the qualitative research methods. The…
Descriptors: Foreign Countries, Elementary School Students, Elementary School Mathematics, Grade 4
Barkai, Ruthi – Education Sciences, 2021
Errors are a major component of the pedagogical content knowledge (PCK) needed for teaching mathematics. In this study, 25 prospective teachers (PTs) in high schools were invited to solve a trigonometric task that had been assigned to high-school students and, subsequently, to relate to an authentic solution containing mathematical errors, which…
Descriptors: Case Method (Teaching Technique), Problem Solving, Error Patterns, Mathematics Education
Agoestanto, Arief; Sukestiyarno, Y. L.; Isnarto; Rochmad; Lestari, M. D. – International Journal of Instruction, 2019
The purpose of this research was to describe the positions and causes of students' errors in algebraic thinking based on the cognitive style. This study was qualitative research with subject consisting of twelve students. The results showed that (1) students with Field Independent type tended to make errors at the stage of comprehension,…
Descriptors: High School Students, Cognitive Style, Secondary School Mathematics, Mathematics Education
Wibawa, Kadek Adi; Nusantara, Toto; Subanji; Parta, I. Nengah – International Education Studies, 2017
This study aims to reveal the fragmentation of thinking structure's students in solving the problems of application definite integral in area. Fragmentation is a term on the computer (storage) that is highly relevant correlated with theoretical constructions that occur in the human brain (memory). Almost every student has a different way to…
Descriptors: Cognitive Processes, Thinking Skills, Problem Solving, Qualitative Research