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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
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Dogan, Muhammed Fatih; Williams-Pierce, Caro – Educational Studies in Mathematics, 2021
This paper explores how in-service teachers enrolled in a graduate proof course interpret, understand, and use generic examples as part of their proving and justification activities. Generic examples, which are capable of proving and justifying with strong explanatory power, are particularly important for teachers considering teaching proof in…
Descriptors: Demonstrations (Educational), Mathematical Logic, Validity, Mathematics Instruction
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Rott, Benjamin – Educational Studies in Mathematics, 2021
Epistemological beliefs are considered to play an important role in processes of learning and teaching. However, research on epistemological beliefs is confronted with methodological issues as for traditionally used self-report instruments with closed items, problems with social desirability, validity, and capturing domain-specific aspects of…
Descriptors: Logical Thinking, Epistemology, Beliefs, Critical Thinking
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Lu, Xiaoli; Leung, Frederick Koon Shing; Li, Na – Educational Studies in Mathematics, 2021
The importance of integrating history into mathematics education is widely recognised in the literature and advocated in curricula worldwide, including in China. However, under the influence of the long-standing centrally designed curricula, teachers in China are accustomed to content- and teacher-centred examination-driven teaching practices.…
Descriptors: Foreign Countries, Integrated Activities, History Instruction, Mathematics Instruction
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Barnes, Alison – Educational Studies in Mathematics, 2021
Enjoyment in learning mathematics is often perceived to be a positive, desirable emotion in the learning process. However, the findings of this study indicate that it can act as a barrier to persevering in mathematical reasoning by reinforcing a focus on habitual behaviours and inhibiting self-regulatory behaviours. The study identifies…
Descriptors: Foreign Countries, Learner Engagement, Children, Mathematics Education
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Zwanch, Karen; Wilkins, Jesse L. M. – Educational Studies in Mathematics, 2021
Constructing multiplicative reasoning is critical for students' learning of mathematics, particularly throughout the middle grades and beyond. Tzur, Xin, Si, Kenney, and Guebert [American Educational Research Association, ERIC No. ED510991, (2010)] conclude that an assimilatory composite unit is a conceptual spring to multiplicative reasoning.…
Descriptors: Middle School Students, Mathematics Skills, Logical Thinking, Problem Solving
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Moreno-Arotzena, Oihana; Pombar-Hospitaler, Ion; Barragués, José Ignacio – Educational Studies in Mathematics, 2021
The aim of this research is to study how students recognise the concept of gradient of a function of two variables in its different representations and how they make conversions between these representations. Three groups of university students with different profiles took part in this research, and Duval's theory of semiotic representations was…
Descriptors: Learning Processes, Mathematical Concepts, Mathematics Skills, Semiotics
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Wilkie, Karina J. – Educational Studies in Mathematics, 2021
Teachers whose mathematical meanings support understanding across different contexts are likely to convey them in productive ways for coherent student learning. This exploratory study sought to elicit 67 secondary mathematics pre-service teachers' (PSTs) meanings for quadratics with growing pattern creation and multiple translation tasks. A…
Descriptors: Equations (Mathematics), Secondary School Mathematics, Preservice Teachers, Mathematics Skills
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Tan, Da Yang; Tay, Eng Guan; Teo, Kok Ming; Shutler, Paul M. E. – Educational Studies in Mathematics, 2021
In this work, we report the emergence of the Hands, Head and Heart framework that arose within the curriculum review for subject knowledge courses for primary school pre-service teachers in the National Institute of Education, Singapore. Through an initial grounded analysis of a survey of pre-service teachers and faculty focus group meeting data,…
Descriptors: Foreign Countries, Preservice Teachers, Preservice Teacher Education, Elementary School Curriculum
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Baccaglini-Frank, Anna – Educational Studies in Mathematics, 2021
This paper focuses on students' mathematical discourse emerging from interactions in the digital environment GeoGebra, in which one can construct virtual objects that realize mathematical signifiers and then interact with them. These virtual object realizations can become "dynamic interactive mediators" (DIMs) that influence the…
Descriptors: Electronic Learning, Mathematics Education, Computer Software, Geometry
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Reinholz, Daniel L.; Pilgrim, Mary E. – Educational Studies in Mathematics, 2021
This manuscript focuses on how students make sense of proofs. Participants were students who engaged in peer-review conferences of each other's attempted proofs in a graduate-level real analysis course for mathematics teachers. Building on the concept of distance from conversational analysis, we distinguish how three types of distance (epistemic,…
Descriptors: Validity, Mathematical Logic, Mathematics Instruction, Mathematics Teachers
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Kuzniak, Alain; Nechache, Assia – Educational Studies in Mathematics, 2021
In this paper, we identify various forms of geometric work carried out by student teachers who were asked to perform a geometric task for the estimation of a land area. The theory of Mathematical Working Spaces is used to analyze and characterize the work produced. This study provides evidence that students developed forms of geometric work that…
Descriptors: Preservice Teachers, Geometric Concepts, Geometry, Mathematics Instruction
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Bernabeu, Melania; Moreno, Mar; Llinares, Salvador – Educational Studies in Mathematics, 2021
The goal of this study was to characterise how third-grade primary school students understand the concept of polygon as well as relationships between polygons. Following a teaching experiment, students answered a questionnaire on the recognition of polygons and relationships between polygons, providing information about how a polygon was…
Descriptors: Elementary School Students, Knowledge Level, Geometric Concepts, Grade 3
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Vermeulen, Jorine A.; Béguin, Anton; Eggen, Theo J. H. M. – Educational Studies in Mathematics, 2021
This study explored the relationships between task beliefs about the empty number line (ENL), mathematical ability, gender, and voluntary ENL use in multi-digit subtraction and addition. One hundred twenty-three Dutch third-grade students and nine teachers from six schools participated in this study. The multilevel path analysis showed that task…
Descriptors: Elementary School Students, Grade 3, Foreign Countries, Number Concepts
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Solomon, Yvette; Hough, Susan; Gough, Stephen – Educational Studies in Mathematics, 2021
Realistic Mathematics Education (RME) relies on the pedagogy of guided reinvention, in which opportunities for learning are created through the teacher's orchestration of whole-class mathematical discussion towards a specific goal. However, introducing an RME approach to students who are accustomed to traditional teaching requires a substantial…
Descriptors: Low Achievement, Mathematics Education, Mathematics Instruction, Power Structure
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