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Sandoval, Ivonne; Possani, Edgar – Educational Studies in Mathematics, 2016

The purpose of this paper is to present an analysis of the difficulties faced by students when working with different representations of vectors, planes and their intersections in R[superscript 3]. Duval's theoretical framework on semiotic representations is used to design a set of evaluating activities, and later to analyze student work. The…

Descriptors: Models, Semiotics, Undergraduate Students, Higher Education

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

Fukawa-Connelly, Timothy Patrick – Educational Studies in Mathematics, 2012

This paper is a case study of the teaching of an undergraduate abstract algebra course, in particular the way the instructor presented proofs. It describes a framework for proof writing based on Selden and Selden (2009) and the work of Alcock (2010) on modes of thought that support proof writing. The paper offers a case study of the teaching of a…

Descriptors: Literature, Algebra, Writing Processes, Mathematics Education

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

Mesa, Vilma; Griffiths, Brett – Educational Studies in Mathematics, 2012

Drawing on data from interviews with mathematics faculty in three different types of undergraduate institutions and using Rabardel's model of instrument use (Verillon & Rabardel "1995"), we describe three ways textbooks mediate college faculty work regarding instruction. The model anticipates epistemic and pragmatic mediations between the…

Descriptors: Undergraduate Students, Textbooks, College Faculty, Pragmatics

Clark, Kathleen Michelle – Educational Studies in Mathematics, 2012

The use of the history of mathematics in teaching has long been considered a tool for enriching students' mathematical learning. However, in the USA few, if any, research efforts have investigated how the study of history of mathematics contributes to a person's mathematical knowledge for teaching. In this article, I present the results of…

Descriptors: Mathematics Education, Equations (Mathematics), Mathematics Teachers, Algebra

Walter, Janet G.; Barros, Tara – Educational Studies in Mathematics, 2011

In this paper, we explore the development of two grounded theories. One theory is mathematical and grounded in the work of university calculus students' collaborative development of mathematical methods for finding the volume of a solid of revolution, in response to mathematical necessity in problem solving, without prior instruction on solution…

Descriptors: Problem Solving, Calculus, Mathematics Instruction, Grounded Theory

Ouvrier-Buffet, Cecile – Educational Studies in Mathematics, 2011

In this paper, a focus is made on defining processes at stake in an unfamiliar situation coming from discrete mathematics which brings surprising mathematical results. The epistemological framework of Lakatos is questioned and used for the design and the analysis of the situation. The cognitive background of Vergnaud's approach enriches the study…

Descriptors: Research Problems, Mathematical Concepts, Mathematics, Mathematical Models

Kospentaris, George; Spyrou, Panagiotis; Lappas, Dionyssios – Educational Studies in Mathematics, 2011

The aim of this study is to investigate the strategies employed by advanced high school and university students working on six tasks concerning comparison and conservation of area. Special care has been taken in the test design so that the problems could be dealt with using a variety of solution methods. Written responses and in-depth interviews…

Descriptors: Grade 12, Test Construction, Advanced Students, Mathematics

Iannone, Paola; Inglis, Matthew; Mejia-Ramos, Juan Pablo; Simpson, Adrian; Weber, Keith – Educational Studies in Mathematics, 2011

Many mathematics education researchers have suggested that asking learners to generate examples of mathematical concepts is an effective way of learning about novel concepts. To date, however, this suggestion has limited empirical support. We asked undergraduate students to study a novel concept by either tackling example generation tasks or…

Descriptors: Undergraduate Students, Mathematics Education, Learning Strategies, Mathematical Concepts

Herbel-Eisenmann, Beth; Wagner, David – Educational Studies in Mathematics, 2010

Working from a large corpus of transcripts from secondary mathematics classrooms, we identify patterns of speech that encode interpersonal positioning. We extend our analysis from a previous article (Herbel-Eisenmann, Wagner & Cortes, Educ Stud Math, 2010, in press), in which we introduced a concept from corpus linguistics--a "lexical bundle,"…

Descriptors: Mathematics Instruction, Academic Discourse, Mathematics Curriculum, Higher Education

Malaspina, Uldarico; Font, Vicenc – Educational Studies in Mathematics, 2010

This article presents the partial results obtained in the first stage of the research, which sought to answer the following questions: (a) What is the role of intuition in university students' solutions to optimization problems? (b) What is the role of rigor in university students' solutions to optimization problems? (c) How is the combination of…

Descriptors: Research Design, Intuition, Problem Solving, Higher Education

Kaisari, Maria; Patronis, Tasos – Educational Studies in Mathematics, 2010

In this paper, we investigate university students' interaction in an attempt to construct a model of elliptic geometry. In order to study the several ways in which geometrical meaning is produced through context and practices, we introduce three different types of use of geometrical concepts, namely as (1) elements of representation of spatial…

Descriptors: Interaction, Geometric Concepts, Geometry, Higher Education

Roh, Kyeong Hah – Educational Studies in Mathematics, 2010

This study explored students' understanding of a logical structure in defining the limit of a sequence, focusing on the relationship between epsilon and N. The subjects of this study were college students who had already encountered the concept of limit but did not have any experience with rigorous proofs using the epsilon-N definition. This study…

Descriptors: Mathematics, College Students, Higher Education, Validity

Geraniou, Eirini – Educational Studies in Mathematics, 2010

This paper presents results of a longitudinal study in the transition to independent graduate studies in mathematics. The analysis of the data collected from 24 students doing a PhD in mathematics revealed the existence of three transitional stages within the PhD degree, namely "Adjustment", "Expertise" and "Articulation". The focus is on the…

Descriptors: Longitudinal Studies, Student Motivation, Graduate Students, Graduate Study