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Jablonski, Simone – Educational Studies in Mathematics, 2023
Mathematical modelling emphasizes the connection between mathematics and reality -- still, tasks are often exclusively introduced inside the classroom. The paper examines the potential of different task settings for mathematical modelling with real objects: outdoors at the real object itself, with photographs and with a 3D model representation. It…
Descriptors: Mathematics Instruction, Mathematical Models, Secondary School Students, Secondary School Mathematics
Sevinc, Serife – Educational Studies in Mathematics, 2022
Models-and-modeling perspective (MMP) is a problem-solving and learning perspective in mathematics education. Although modeling processes have been addressed widely in the international discussion on mathematical modeling, a homogeneous understanding has not been established yet. Hence, the field needs studies addressing the epistemological…
Descriptors: Mathematical Models, Problem Solving, Mathematics Education, Epistemology
Heather Lynn Johnson; Courtney Donovan; Robert Knurek; Kristin A. Whitmore; Livvia Bechtold – Educational Studies in Mathematics, 2024
Using a mixed methods approach, we explore a relationship between students' graph reasoning and graph selection via a fully online assessment. Our population includes 673 students enrolled in college algebra, an introductory undergraduate mathematics course, across four U.S. postsecondary institutions. The assessment is accessible on computers,…
Descriptors: Models, Graphs, Cognitive Processes, Abstract Reasoning
Timothy H. Lehmann – Educational Studies in Mathematics, 2024
Developing students' competence in algorithmic thinking is emerging as an objective of mathematics education, but despite its inclusion in mathematics curricula around the world, research into students' algorithmic thinking seems to be falling behind in this curriculum reform. The aim of this study was to investigate how the mathematical modelling…
Descriptors: Mathematical Models, Algorithms, Thinking Skills, Mathematics Instruction
Nadav Marco; Alik Palatnik – Educational Studies in Mathematics, 2024
This study proposes a model of several dimensions through which products of teachers' context-based mathematics problem posing (PP) can be modified. The dimensions are Correctness, Authenticity, Task Assortment (consisting of Mathematical Diversity, Multiple Data Representations, Question-Answer Format, Precision-Approximation, and…
Descriptors: Models, Problem Solving, Mathematics Instruction, Faculty Development
Schukajlow, Stanislaw; Krawitz, Janina; Kanefke, Jonas; Blum, Werner; Rakoczy, Katrin – Educational Studies in Mathematics, 2023
Open mathematical modelling problems that can be solved with multiple methods and have multiple possible results are an important part of school curricula in mathematics and science. Solving open modelling problems in school should prepare students to apply their mathematical knowledge in their current and future lives. One characteristic of these…
Descriptors: Mathematical Models, Cognitive Processes, Barriers, Cues
Student Approaches to Generating Mathematical Examples: Comparing E-Assessment and Paper-Based Tasks
George Kinnear; Paola Iannone; Ben Davies – Educational Studies in Mathematics, 2025
Example-generation tasks have been suggested as an effective way to both promote students' learning of mathematics and assess students' understanding of concepts. E-assessment offers the potential to use example-generation tasks with large groups of students, but there has been little research on this approach so far. Across two studies, we…
Descriptors: Mathematics Skills, Learning Strategies, Skill Development, Student Evaluation
Mehmet Fatih Ozmantar; Medine Coskun; Ali Bozkurt – Educational Studies in Mathematics, 2025
This paper investigates how mathematics teachers describe their ethical decision making related to instructional practices, drawing on frameworks that incorporate both rational and non-rational approaches. We employed a multiple-case study method, selecting three teachers as cases through criterion sampling. Data were collected via four…
Descriptors: Mathematics Teachers, Ethics, Decision Making, Educational Practices
Janina Krawitz; Stanislaw Schukajlow; Luisa Hartmann – Educational Studies in Mathematics, 2025
Problem posing is a promising teaching method for enhancing motivation and performance in mathematics and more specifically in mathematical modelling. Hence, the goals of our study were twofold: (1) to examine the effects of problem posing on modelling performance, self-efficacy, and task values in solving modelling problems, and (2) to analyze…
Descriptors: Problem Solving, Self Efficacy, Performance, Mathematics Skills
Czocher, Jennifer A.; Hardison, Hamilton L.; Kularajan, Sindura S. – Educational Studies in Mathematics, 2022
Mathematical modelling is endorsed as both a means and an end to learning mathematics. Despite its utility and inclusion as a curricular objective, one of many questions remaining about learners' modelling regards how modelers choose relevant situational attributes and express mathematical relationships in terms of them. Research on quantitative…
Descriptors: Mathematical Models, Mathematics Skills, Cognitive Processes, Thinking Skills
Andreas Brandsaeter; Runar Lie Berge – Educational Studies in Mathematics, 2025
The reasons for teaching programming in school are indeed manifold. Programming can for example be utilized as a vehicle for understanding and learning particular mathematical subject matter, or as a tool for solving mathematical problems. In this paper, however, we propose to utilize programming as a vehicle for developing mathematical…
Descriptors: Mathematics Skills, Skill Development, Competence, Programming
Christiansen, Iben Maj; Corriveau, Claudia; Pettersson, Kerstin – Educational Studies in Mathematics, 2023
Within the commognitive perspective, ritual and explorative routines are used in a very particular way to distinguish students' routines according to whether they are driven by social reward or by generating a substantiated narrative. Explorative routines in this theorisation may refer not to inquiry-based activity but to the result of a student's…
Descriptors: Mathematics Instruction, Teaching Methods, Learning Processes, Discovery Learning
Park, JinHyeong; Kim, Dong-Won – Educational Studies in Mathematics, 2023
Coordination of theoretical probability and relative frequency estimates is challenging in probability teaching and learning. Modeling is one of the ways of teaching and learning that facilitates inquiry between these two perspectives. Given that, we designed a modeling activity to support fifteen secondary students in investigating theoretical…
Descriptors: Probability, Computation, Mathematics Instruction, Mathematical Models
Ramírez-Sánchez, Camilo Andrés; Romo-Vázquez, Avenilde; Romo-Vázquez, Rebeca; Velásquez-Rojas, Diana – Educational Studies in Mathematics, 2023
The training of non-specialists, particularly engineers, in mathematics requires designing specific didactic proposals that make the importance of mathematics evident. One approach to creating such proposals consists in analyzing the mathematics used in authentic contexts of engineering research and then effectuating a didactic transposition to…
Descriptors: Undergraduate Students, Mathematics Instruction, Engineering, Teaching Methods
Groth, Randall E.; Choi, Yoojin – Educational Studies in Mathematics, 2023
Learning to interpret data in context is an important educational outcome. To assess students' attainment of this outcome, it is necessary to examine the interplay between their contextual and statistical reasoning. We describe a research method designed to do so. The method draws upon Toulmin's (1958, 2003) model of argumentation for the first…
Descriptors: Student Evaluation, Data Interpretation, Evaluative Thinking, Evaluation Methods