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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
Anna Ida Säfström; Johan Lithner; Torulf Palm; Björn Palmberg; Johan Sidenvall; Catarina Andersson; Erika Boström; Carina Granberg – Educational Studies in Mathematics, 2024
It is well-known that a key to promoting students' mathematics learning is to provide opportunities for problem solving and reasoning, but also that maintaining such opportunities in student-teacher interaction is challenging for teachers. In particular, teachers need support for identifying students' specific difficulties, in order to select…
Descriptors: Elementary School Students, Secondary School Students, Mathematics Instruction, Problem Solving
Ding, Rui; Huang, Rongjin; Deng, Xixi – Educational Studies in Mathematics, 2023
The mathematics education literature indicates a consensus regarding the importance of developing algebraic thinking in elementary school mathematics. However, the approaches used to implement this concept vary around the world. This study examines how a popular standards-based elementary mathematics textbook series in China provides opportunities…
Descriptors: Textbooks, Mathematics Instruction, Teaching Methods, Task Analysis
Supply, Anne-Sophie; Wijns, Nore; Van Dooren, Wim; Onghena, Patrick – Educational Studies in Mathematics, 2023
The many studies with coin-tossing tasks in literature show that the concept of randomness is challenging for adults as well as children. Systematic errors observed in coin-tossing tasks are often related to the representativeness heuristic, which refers to a mental shortcut that is used to judge randomness by evaluating how well a set of random…
Descriptors: Pattern Recognition, Preschool Children, Prediction, Thinking Skills
Urhan, Selin; Bülbül, Ali – Educational Studies in Mathematics, 2023
Our study aims to determine how Habermas' construct of rationality can serve to identify and interpret the difficulties experienced by university students in the mathematical problem-solving process. To this end, a problem which required modelling and solving a differential equation was used. The problem-solving processes of university students…
Descriptors: Abstract Reasoning, Mathematics Skills, Problem Solving, College Students
Gómez-Blancarte, Ana Luisa; Tobías-Lara, María Guadalupe – Educational Studies in Mathematics, 2023
Since statistical inference is a probabilistic generalization about a population analyzed on the basis of a sample, inferential reasoning demands producing reasons ("statistical" and "contextual") to substantiate and validate generalizations. To convey an understanding of students' inferential reasoning, we present a…
Descriptors: Undergraduate Students, Inferences, Thinking Skills, Abstract Reasoning
Scheiner, Thorsten – Educational Studies in Mathematics, 2023
Noticing the strengths in students' mathematical thinking is a critical skill that teachers need to develop, but it can be challenging due to the prevalence of deficit-based thinking in mathematics education. To address this challenge, a teacher education course was designed to encourage prospective teachers to engage in critical reflection on…
Descriptors: Preservice Teachers, Teacher Education, Critical Thinking, Thinking Skills
Supply, Anne-Sophie; Vanluydt, Elien; Van Dooren, Wim; Onghena, Patrick – Educational Studies in Mathematics, 2023
Findings on children's proportional reasoning abilities strongly vary across studies. This might be due to the different contexts that can be used in proportional problems: fair-sharing, mixtures, and probability. A review of the scientific literature suggests that the context of proportional problems may not only impact the difficulty of the…
Descriptors: Abstract Reasoning, Thinking Skills, Young Children, Problem Solving
Kooloos, Chris; Oolbekkink-Marchand, Helma; van Boven, Saskia; Kaenders, Rainer; Heckman, Gert – Educational Studies in Mathematics, 2022
In mathematical whole-class discussions, teachers can build on various student ideas and develop these ideas toward mathematical goals. This requires teachers to make sense of their students' mathematical thinking, which evidently involves mathematical thinking on the teacher's part. Teacher sense-making of student mathematical thinking has been…
Descriptors: Foreign Countries, High School Teachers, Mathematics Teachers, Discussion (Teaching Technique)
Paoletti, Teo; Gantt, Allison L.; Vishnubhotla, Madhavi – Educational Studies in Mathematics, 2022
Although there is much research exploring students' covariational reasoning, there is less research exploring the ways students can leverage such reasoning to coordinate more than two quantities. In this paper, we describe a system of covariational relationships as a comprehensive image of how two varying quantities, having the same attribute…
Descriptors: Mathematics Skills, Thinking Skills, Mathematical Concepts, Middle School Students
Kus, Mehtap; Cakiroglu, Erdinc – Educational Studies in Mathematics, 2022
This study aimed to investigate seventh-grade students' visuospatial thinking processes in an art studio environment, where students were engaged with geometrically rich artworks. The students were asked to observe minimalist artworks, then create and critique their own and others' artworks based on the Studio Thinking Framework. Data were…
Descriptors: Mathematics Education, Art Activities, Grade 7, Visual Perception
Breive, Svanhild – Educational Studies in Mathematics, 2022
This paper reports from a case study which explores kindergarten children's mathematical abstraction in a teaching--learning activity about reflection symmetry. From a dialectical perspective, abstraction is here conceived as a process, as a genuine part of human activity, where the learner establishes "a point of view from which the concrete…
Descriptors: Case Studies, Kindergarten, Abstract Reasoning, Semiotics
Strohmaier, Anselm R.; Reinhold, Frank; Hofer, Sarah; Berkowitz, Michal; Vogel-Heuser, Birgit; Reiss, Kristina – Educational Studies in Mathematics, 2022
Mathematical word problem solving is influenced by various characteristics of the task and the person solving it. Yet, previous research has rarely related these characteristics to holistically answer which word problem requires which set of individual cognitive skills. In the present study, we conducted a secondary data analysis on a dataset of N…
Descriptors: Word Problems (Mathematics), Difficulty Level, Thinking Skills, Problem Solving
Alwast, Alina; Vorhölter, Katrin – Educational Studies in Mathematics, 2022
Teaching mathematical modeling is a demanding task. Thus, fostering teachers' competencies in this regard is an essential component of teacher education. Recent conceptualizations of teachers' competencies include situation-specific skills based on the concept of noticing, which is of particular interest for the spontaneous reactions needed when…
Descriptors: Preservice Teachers, Teacher Competencies, Mathematical Models, Thinking Skills
Bagossi, Sara; Ferretti, Federica; Arzarello, Ferdinando – Educational Studies in Mathematics, 2022
This paper focuses on the importance of covariational reasoning within the processes of mathematics teaching and learning. Despite the internationally recognized relevance of covariation, research shows that only a small percentage of students and teachers is able to adopt covariational reasoning and the majority of mathematics curricula do not…
Descriptors: Mathematics Education, Thinking Skills, Mathematical Logic, Educational Innovation