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Geiger, Vince; Galbraith, Peter; Niss, Mogens; Delzoppo, Catherine – Educational Studies in Mathematics, 2022
In this article, we describe the generation of a Design and Implementation Framework for Mathematical Modelling Tasks (DIFMT) through a researcher-teacher collaboration. The purpose of the framework is to support holistic approaches to instructional modelling competency. This framework is underpinned by principles drawn from theory and praxis…
Descriptors: Mathematical Models, Holistic Approach, Instructional Design, Secondary School Teachers
Agterberg, D. A.; Oostdam, R. J.; Janssen, F. J. J. M. – Educational Studies in Mathematics, 2022
It is a challenge for mathematics teachers to provide activities for their students at a high level of cognitive demand. In this article, we explore the possibilities that history of mathematics has to offer to meet this challenge. History of mathematics can be applied in mathematics education in different ways. We offer a framework for describing…
Descriptors: Mathematics, History, Cognitive Processes, Difficulty Level
Wang, Ke; Wang, Xiao-qin; Li, Yeping; Rugh, Michael S. – Educational Studies in Mathematics, 2018
One major obstacle for integrating the history of mathematics in teaching (hereafter referred to as IHT) is how to help teachers, particularly those who lack experience in IHT, use historical materials in their teaching. Based on many IHT practices in Shanghai, this paper proposes an IHT framework including two parts: one is a triangular pyramid…
Descriptors: Foreign Countries, Science Education History, Integrated Curriculum, Teaching Methods
Tabach, Michal; Nachlieli, Talli – Educational Studies in Mathematics, 2016
This special issue comprises five studies which vary in their focus and mathematical content, yet they all share an underlying communicational theoretical framework--commognition. Within this framework, learning mathematics is defined as a change in one's mathematical discourse, that is, in the form of communication known as mathematical. Teaching…
Descriptors: Mathematics Instruction, Mathematics, Models, Language Usage
Tsamir, Pessia; Ovodenko, Regina – Educational Studies in Mathematics, 2013
This paper describes university students' grasp of inflection points. The participants were asked what inflection points are, to mark inflection points on graphs, to judge the validity of related statements, and to find inflection points by investigating (1) a function, (2) the derivative, and (3) the graph of the derivative. We found four…
Descriptors: College Students, Mathematics Education, Mathematics Instruction, Higher Education
Wasserman, Nicholas H. – Educational Studies in Mathematics, 2015
The work that mathematics teachers do is frequently mathematical in nature and different from other professions. Understanding and describing common ways that teachers draw upon their content knowledge in the practice of teaching is important. Building on the descriptions by McCrory et al. ("Journal for Research in Mathematics Education"…
Descriptors: Mathematics, Mathematics Education, Difficulty Level, Pedagogical Content Knowledge
Hand, Victoria – Educational Studies in Mathematics, 2012
This paper is centered on creating equitable opportunities for learners in mathematics education. Through observations of teacher practice, the paper seeks to theorize how teachers enact their dispositions toward mathematics instruction. These observed propensities, in relation to teachers' aims for students to "take up their space" in and beyond…
Descriptors: Mathematics Education, Mathematics Instruction, Observation, Teaching Methods
Pedemonte, Bettina; Reid, David – Educational Studies in Mathematics, 2011
This paper offers a typology of forms and uses of abduction that can be exploited to better analyze abduction in proving processes. Based on the work of Peirce and Eco, we describe different kinds of abductions that occur in students' mathematical activity and extend Toulmin's model of an argument as a methodological tool to describe students'…
Descriptors: Mathematics Instruction, Inferences, Logical Thinking, Models
Mejia-Ramos, Juan Pablo; Fuller, Evan; Weber, Keith; Rhoads, Kathryn; Samkoff, Aron – Educational Studies in Mathematics, 2012
Although proof comprehension is fundamental in advanced undergraduate mathematics courses, there has been limited research on what it means to understand a mathematical proof at this level and how such understanding can be assessed. In this paper, we address these issues by presenting a multidimensional model for assessing proof comprehension in…
Descriptors: Reading Comprehension, Mathematics Education, Mathematical Logic, Number Concepts
Pantziara, Marilena; Gagatsis, Athanasios; Elia, Iliada – Educational Studies in Mathematics, 2009
The Mathematics education community has long recognized the importance of diagrams in the solution of mathematical problems. Particularly, it is stated that diagrams facilitate the solution of mathematical problems because they represent problems' structure and information (Novick & Hurley, 2001; Diezmann, 2005). Novick and Hurley were the first…
Descriptors: Mathematics Education, Structural Equation Models, Problem Solving, Visual Aids
Abrahamson, Dor – Educational Studies in Mathematics, 2009
Design-based research studies are conducted as iterative implementation-analysis-modification cycles, in which emerging theoretical models and pedagogically plausible activities are reciprocally tuned toward each other as a means of investigating conjectures pertaining to mechanisms underlying content teaching and learning. Yet this approach, even…
Descriptors: Undergraduate Students, Models, Research Methodology, Probability
Hemmi, Kirsti – Educational Studies in Mathematics, 2010
The article describes mathematicians' pedagogical perspectives on proof in the teaching of first year university students at a mathematics department in Sweden. A conceptual frame that was used in the data analysis combines theories about proof from earlier mathematics education research with a social practice approach of Lave and Wenger. A…
Descriptors: Mathematics Education, Foreign Countries, Data Analysis, Mathematics Instruction
Berge, Analia – Educational Studies in Mathematics, 2008
This paper focuses on teaching and learning the set of real numbers "R" and its completeness property at the university level. It studies, in particular, the opportunities for understanding this property that students are offered in four undergraduate correlative courses in Calculus and Analysis. The theoretical framework used in the study draws…
Descriptors: Anthropology, Calculus, Mathematics Instruction, College Students
Lithner, Johan – Educational Studies in Mathematics, 2008
This conceptual research framework addresses the problem of rote learning by characterising key aspects of the dominating imitative reasoning and the lack of creative mathematical reasoning found in empirical data. By relating reasoning to thinking processes, student competencies, and the learning milieu it explains origins and consequences of…
Descriptors: Rote Learning, Cognitive Processes, Models, Learning Strategies
Pedemonte, Bettina – Educational Studies in Mathematics, 2007
The paper presents a characterisation about argumentation and proof in mathematics. On the basis of contemporary linguistic theories, the hypothesis that proof is a special case of argumentation is put forward and Toulmin's model is proposed as a methodological tool to compare them. This model can be used to detect and analyse the structure of an…
Descriptors: Persuasive Discourse, Linguistic Theory, Mathematical Logic, Validity