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Kristen Vroom; Tenchita Alzaga Elizondo – International Journal of Research in Undergraduate Mathematics Education, 2024
Undergraduate students are expected to produce and comprehend constructive existence proofs; yet, these proofs are notoriously difficult for students. This study investigates students' thinking about these proofs by asking students to validate two arguments for the existence of a mathematical object. The first argument featured a common structural…
Descriptors: Mathematics Instruction, Validity, Mathematical Logic, Student Attitudes
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
Frinz Adrian O. Valdez; Eduard C. Taganap – Mathematics Teaching Research Journal, 2024
Mathematics proficiency in the Philippines is a persistent concern, seen by many as a sign of an educational crisis. Teachers are responsible for improving learning outcomes in any discipline, including math. Thus, the study intended to conduct an error analysis of verbal problems among pre-service mathematics teachers. The researcher employed…
Descriptors: Preservice Teachers, Error Patterns, Mathematics Teachers, Problem Solving
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
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
Cetin, Ibrahim; Dev, Serife – International Journal of Mathematical Education in Science and Technology, 2023
This study investigated the methods that pre-service teachers employed while finding volume using integration and the reasons why they utilized these methods (problems); the accuracy of their solutions was also analyzed in this study. Case study design, a qualitative research method, was used for this study. 45 sophomore pre-service teachers…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Teachers, Teaching Methods
Götz, Daniela; Gasteiger, Hedwig – Educational Studies in Mathematics, 2022
Students' issues dealing with reflection tasks, especially with inclined mirror lines, are widely known. Previous research conducted with primary school students mainly focussed on task difficulty and students' outcomes, especially their errors of reflection. Little is known about which not obviously sustainable understanding of reflection leads…
Descriptors: Elementary School Students, Error Patterns, Foreign Countries, Task Analysis
Joshua, Surani; Lee, Mi Yeon – International Electronic Journal of Mathematics Education, 2022
In this study we investigated pre-service teachers' (PSTs) proportional reasoning and how they interpret their calculations in proportional tasks. We administered a written questionnaire to 199 PSTs and used an inductive content analysis approach for data analysis. We found that one item, in which PSTs were asked to interpret the meaning of the…
Descriptors: Preservice Teachers, Teacher Education Programs, Mathematics Skills, Elementary School Teachers
Brückler, Franka Miriam; Milin Šipuš, Željka – European Journal of Science and Mathematics Education, 2023
During the last two years, the COVID-19 pandemic had a secondary effect of increased media content loaded with mathematical, often probabilistic information (and misinformation). Our exploratory study investigates the probabilistic intuitions, misconceptions, biases, and fallacies in conditional probability reasoning of mathematics teacher…
Descriptors: Preservice Teachers, Mathematics Teachers, Mathematics Instruction, Teacher Education Programs
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
Hoon, Teoh Sian; Singh, Parmjit; Han, Cheong Tau; Nasir, Nurul Akmal Md; Rasid, Nor Syazwani Binti Mohd; Zainal, Nurain Binti – Asian Journal of University Education, 2020
This study was conducted to assess the students' level of abilities in solving algebraic word problems which is a main component in Science, Technology, Engineering and Mathematics (STEM). It also aims to determine the students' difficulties in solving these problems by using Newman's Model of Error Analysis (NMEA). Furthermore, this study was…
Descriptors: STEM Education, Algebra, Problem Solving, Word Problems (Mathematics)
Hurst, Chris; Hurrell, Derek – International Electronic Journal of Mathematics Education, 2020
Multiplicative thinking is widely accepted as a critically important 'big idea' of mathematics that underpins much mathematical understanding beyond the primary years. It is therefore important to ensure not only that children can think multiplicatively, but that they can do so at a conceptual rather than procedural level. This paper reports on a…
Descriptors: Multiplication, Thinking Skills, Mathematics Instruction, Elementary School Students
Wakhata, Robert; Balimuttajjo, Sudi; Mutarutinya, Védaste – Mathematics Teaching Research Journal, 2023
The present study explored 285 11th-grade students' preconceptions, misconceptions, and errors in solving mathematics tasks by graphical method. A descriptive-explorative study design was adopted. Cluster sampling was used to select students from sampled secondary schools in eastern and central Uganda. Students' paper and pen solution sketches…
Descriptors: Foreign Countries, Secondary School Mathematics, High School Students, Grade 11
Díaz, Verónica; Aravena, Maria; Flores, George – EURASIA Journal of Mathematics, Science and Technology Education, 2020
The article aims to determine the academic performance and errors in the resolution of types of problems of application of the quadratic function, of high school students from the Los Lagos Region and Los Rios Region in Chile. The approach is qualitative and descriptive with case studies. A math test with open response problems and an opinion…
Descriptors: Problem Solving, Mathematics Instruction, Case Studies, Foreign Countries
Leron, Uri; Ejersbo, Lisser Rye – International Journal of Mathematical Education in Science and Technology, 2021
Research in psychology and in mathematics education has documented the ubiquity of "intuition traps" -- tasks that elicit non-normative responses from most people. Researchers in cognitive psychology often view these responses negatively, as a sign of irrational behaviour. Others, notably mathematics educators, view them as necessary…
Descriptors: Mathematics Instruction, Intuition, Teaching Methods, Error Patterns