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Benjamin Adu Obeng; Gideon Mensah Banson; Ebenezer Owusu; Raphael Owusu – Cogent Education, 2024
Students' competence in solving trigonometry has been in doubt but little attention has been given in the area of research. An assessment of students' answers to trigonometry problems is crucial to dealing with their conceptual challenges. This study employed a descriptive qualitative research design, with the goal of evaluating errors made by…
Descriptors: High School Students, Error Patterns, Mathematics Instruction, Trigonometry
Janet Metcalfe; Judy Xu; Matti Vuorre; Robert Siegler; Dylan Wiliam; Robert A. Bjork – British Journal of Educational Psychology, 2025
Background: Although the generation of errors has been thought, traditionally, to impair learning, recent studies indicate that, under particular feedback conditions, the commission of errors may have a beneficial effect. Aims: This study investigates the teaching strategies that facilitate learning from errors. Materials and Methods: This 2-year…
Descriptors: Error Patterns, Error Correction, Direct Instruction, Test Preparation
Nezihe Korkmaz Guler; Zeynep Gul Dertli; Elif Boran; Bahadir Yildiz – Pedagogical Research, 2024
The aim of the research is to investigate the academic achievement of ChatGPT, an artificial intelligence based chatbot, in a national mathematics exam. For this purpose, 3.5 and 4 versions of ChatGPT were asked mathematics questions in a national exam. The method of the research is a case study. In the research, 3.5 and 4 versions of ChatGPT were…
Descriptors: Mathematics Education, Artificial Intelligence, Man Machine Systems, Natural Language Processing
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
Esty Saraswati Nur Hartiningrum; Subanji; I. Made Sulandra – Mathematics Teaching Research Journal, 2024
Students' experience errors in solving proportional problems and prospective teachers' experience were the same thing. Research that explained the wrong strategy for understanding proportional problems still needed to be completed. Objectives to describe the wrong strategies chosen by prospective teachers in solving proportional questions and the…
Descriptors: Preservice Teachers, Error Patterns, Mathematics Instruction, Teaching Methods
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
Nadia M. Theba; Craig Pournara; Shikha Takker – Pythagoras, 2024
Developing structure sense is an important part of learning algebra. We investigated learners' structure sense of algebraic expressions involving brackets. This led us to propose the constructs "surface structure" sense and "systemic structure" sense. Using a random sample of 58 Grade 10 learners scoring above 40% in a test, we…
Descriptors: Algebra, Grade 10, Mathematics Instruction, Error Patterns
Hai Li; Wanli Xing; Chenglu Li; Wangda Zhu; Simon Woodhead – Journal of Learning Analytics, 2025
Knowledge tracing (KT) is a method to evaluate a student's knowledge state (KS) based on their historical problem-solving records by predicting the next answer's binary correctness. Although widely applied to closed-ended questions, it lacks a detailed option tracing (OT) method for assessing multiple-choice questions (MCQs). This paper introduces…
Descriptors: Mathematics Tests, Multiple Choice Tests, Computer Assisted Testing, Problem Solving
Chvál, Martin; Vondrová, Nada; Novotná, Jarmila – Educational Studies in Mathematics, 2021
The goal of this study is to show a novel way of using large-scale data (N = 6203) to identify pupils' strategies when solving missing value number equations. It is based on the assumption that wrong numerical results appearing more frequently than would be the case if they were consequences of random guessing can be expected to be underlain by a…
Descriptors: Learning Strategies, Problem Solving, Equations (Mathematics), Error Patterns
Hamidah; Zaenuri; Isnarto; Arief Agoestanto – Journal of Education and Learning (EduLearn), 2025
This study's purpose was to analyse the relationship between geometric thinking skills with self-regulated learning and with students' basic geometry skills. Furthermore, analyze student errors in solving geometry problems based on their self-regulated learning to determine the optimal geometry learning environment for geometry thinking skills.…
Descriptors: Geometry, Learning Strategies, Preservice Teachers, Teacher Education Programs
Moeketsi Mosia; Mogalatjane Edward Matabane; Tshele John Moloi – Research in Social Sciences and Technology, 2023
Euclidean geometry provides an opportunity for learners to learn argumentation and develop inductive and deductive reasoning. Despite the significance of Euclidean geometry for developing these skills, learner performance in mathematics, particularly geometry, remains a concern in many countries. Thus, the current study examined the nature of…
Descriptors: Geometry, Mathematics Instruction, Misconceptions, Thinking Skills
Ipek Saralar-Aras; Abdullah Kurudirek – Mathematics Teaching Research Journal, 2025
This study offers a comprehensive investigation of 14-15-year-old students' comprehension of non-Euclidean geometries, with a specific focus on the assessment of their understanding through a 15-itemed test. The primary objective of this research is to assess the current state of students' knowledge and proficiency in non-Euclidean geometries and…
Descriptors: Mathematics Instruction, Middle School Students, Geometry, Concept Formation
Joung, Eunmi; Kim, Young Rae – International Journal of Education in Mathematics, Science and Technology, 2022
The purposes of this study are to report current Preservice Teachers' (PTs) decimal abilities regarding the types of error patterns that they commit and to analyze characteristics of the errors in the problems posed for multiplication and division in decimals. We have determined common concept- and procedure-based errors made by the PTs. 37 PTs in…
Descriptors: Preservice Teachers, Mathematics Skills, Arithmetic, Fractions
Burhan Ogut; Blue Webb; Juanita Hicks; Ruhan Circi; Michelle Yin – Grantee Submission, 2024
In this study, we explore the application of process mining techniques on assessment log data to explore problem-solving strategies in Algebra. By analyzing sequences of student activities, we demonstrate the significant potential of process mining in identifying problem-solving strategies that lead to successful and unsuccessful outcomes. Our…
Descriptors: Mathematics Skills, Problem Solving, Learning Analytics, Algebra