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Kwaku Adu-Gyamfi; Kayla Chandler; Anthony Thompson – School Science and Mathematics, 2025
The challenge posed by algebra story problems creates a significant hurdle for many students, transcending both the mathematical content of the problem and the specific instructional background received. This study offers a distinctive contribution to the existing literature by focusing on the cognitive conditions essential for comprehension in…
Descriptors: Algebra, Mathematics Instruction, Barriers, Cognitive Processes
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
Benjamin Tatira – Mathematics Teaching Research Journal, 2024
Solving systems of linear equations is a core concept in linear algebra and a wide variety of problems found in the sciences and engineering can be formulated as linear equations. This study sought to explore undergraduate students' development of the schema for solving systems of linear equations. The triad framework was used to describe the…
Descriptors: Mathematics Instruction, Teaching Methods, Schemata (Cognition), Problem Solving
Özlem Çeziktürk – International Journal of Mathematical Education in Science and Technology, 2025
I explore some facts about the area, position, etc. of the Steiner ellipse using GeoGebra and numerical analysis. Students can use these for mathematical inquiry.
Descriptors: Computer Software, Mathematics Instruction, Elective Courses, Teacher Education Programs
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
Terri L. Kurz; Mi Yeon Lee – School Science and Mathematics, 2024
Recognizing, building, describing, extending, and analyzing patterns are key components of algebraic reasoning. Oftentimes pattern-based instruction is used to support the understanding of functions and variables. In this study, elementary preservice teachers (n = 23) were asked to explore, extend, explain, create equations for, and analyze…
Descriptors: Elementary School Teachers, Preservice Teachers, Numbers, Error Patterns
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
Wessman-Enzinger, Nicole M.; Gerstenschlager, Natasha – Investigations in Mathematics Learning, 2023
We know that making mistakes in mathematics is an inherent attribute of doing mathematics deeply. Yet, making mistakes is at the root of mathematical fear and anxiety for elementary preservice teachers (PSTs). Valuing mistakes in mathematics is an essential part of shifting from deficient views to asset views of mistakes and having better…
Descriptors: Preservice Teachers, Elementary School Teachers, Reflective Teaching, Mathematics Teachers
Kusno; Sutarto – European Journal of Educational Research, 2022
Misconceptions are one of the biggest obstacles in learning mathematics. This study aimed to investigate students' common errors and misunderstandings they cause when defining the angle and the triangle. In addition, we investigated the metacognition/ drawing/ writing/ intervention (MDWI) strategy to change students' understanding of the wrong…
Descriptors: Mathematics Instruction, Misconceptions, Geometric Concepts, Metacognition
Er, Zübeyde – International Journal of Research in Education and Science, 2023
One of the reasons why students fail in mathematics courses is that the problems used in the lessons are abstract. In this context, it is important to embody the problems used in the lessons. Fermi problems are open-ended problems, a type of problem that reflects real-life situations that are solved by making a series of predictions. In the…
Descriptors: Problem Solving, Mathematics Instruction, Relevance (Education), Preservice Teacher Education
Cline, Kelly S.; Huckaby, David A.; Zullo, Holly – PRIMUS, 2023
Using clickers in the statistics classroom can help students identify and understand common errors and misconceptions through a combination of surprise and discussion. Students are presented with multiple-choice questions that they discuss with each other and then vote on; a class-wide discussion follows. Questions for which many students vote for…
Descriptors: Mathematics Instruction, Error Patterns, Misconceptions, Statistics Education
Joseph Njiku – Pedagogical Research, 2025
Pedagogical content knowledge (PCK) begins to develop during teacher education and the teaching practicum reinforces its development. This study is an interpretive inquiry into pre-service mathematics teachers' practicum classrooms. The study explored four pre-service mathematics teachers' PCK through observations and interviews. The pre-service…
Descriptors: Preservice Teachers, Teacher Education Programs, Mentors, Microteaching
Arefaine, Nigusse; Michael, Kassa; Assefa, Shimelis – Asian Journal of Education and Training, 2022
Multiple representations cultivate students' mathematical mindset. However, research results have reported that students do not benefit from these tools due to lack of representational fluency. This study was designed to determine the impact of GeoGebra assisted multiple representations approach on students' representation translation performance…
Descriptors: Calculus, Mathematics Achievement, Mathematics Instruction, Error Patterns
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
Kirsten Brunner; Andreas Obersteiner; Timo Leuders – Educational Studies in Mathematics, 2024
Teachers' ability to accurately judge difficulties of mathematical tasks is an essential aspect of their diagnostic competencies. Although research has suggested that pedagogical content knowledge (PCK) is positively correlated with the accuracy of diagnostic judgments, experimental studies have not been conducted to investigate how PCK affects…
Descriptors: Eye Movements, Pedagogical Content Knowledge, Accuracy, Correlation