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Paoletti, Teo; Krupnik, Victoria; Papadopoulos, Dimitrios; Olsen, Joseph; Fukawa-Connelly, Tim; Weber, Keith – Educational Studies in Mathematics, 2018

We were interested in exploring the extent to which advanced mathematics lecturers provide students with opportunities to play a role in considering or generating course content. To do this, we examined the questioning practices of 11 lecturers who taught advanced mathematics courses at the university level. Because we are unaware of other studies…

Descriptors: Mathematics Instruction, Course Content, College Mathematics, College Faculty

Tabach, Michal; Schwarz, Baruch B. – Educational Studies in Mathematics, 2018

Collaborative work in small groups is often a suitable context for yielding substantial individual learning outcomes. Indeed, small-group collaboration has recently become an educational goal rather than a means. Yet, this goal is difficult to attain, and students must be taught how to learn together. In this paper, we focus on how to prepare…

Descriptors: Faculty Development, Cooperative Learning, Small Group Instruction, Teacher Competencies

Paoletti, Teo; Stevens, Irma E.; Hobson, Natalie L. F.; Moore, Kevin C.; LaForest, Kevin R. – Educational Studies in Mathematics, 2018

Researchers have argued teachers and students are not developing connected meanings for function inverse, thus calling for a closer examination of teachers' and students' inverse function meanings. Responding to this call, we characterize 25 pre-service teachers' inverse function meanings as inferred from our analysis of clinical interviews. After…

Descriptors: Preservice Teachers, Mathematical Concepts, Interviews, Knowledge Level

Leavy, Aisling; Hourigan, Mairead – Educational Studies in Mathematics, 2018

Classroom data modeling involves posing questions, identifying attributes of phenomena, measuring and structuring these attributes, and then composing, revising, and communicating the outcomes. Selecting attributes is a fundamental component of data modeling, and the considerations made when selecting attributes is the focus of this paper. A…

Descriptors: Teaching Methods, Teacher Educators, Preservice Teachers, Young Children

Lin, Fou-Lai; Yang, Kai-Lin; Hsu, Hui-Yu; Chen, Jian-Cheng – Educational Studies in Mathematics, 2018

This study explored the perspectives of mathematics teacher educator-researchers (MTE-Rs) on the use of theory in facilitating teacher growth. We adopted the framework of the theory-centered scholarship triangle (Silver & Herbst, 2007) to probe the underlying meanings of perspectives on theory use expressed by MTE-Rs. Qualitative analysis…

Descriptors: Teacher Educators, Teacher Researchers, Mathematics Teachers, Teacher Improvement

Borba, Marcelo C.; Chiari, Aparecida Santana de Souza; de Almeida, Helber Rangel Formiga Leite – Educational Studies in Mathematics, 2018

For the last 10 years, online pre-service teacher distance education has increased significantly in Brazil. As a result, research on this educational modality has also increased, in particular, research investigating the different roles students and teachers play in these courses. The purpose of this paper is to analyze the role of digital…

Descriptors: Foreign Countries, Educational Technology, Technology Uses in Education, Preservice Teacher Education

González-Martín, Alejandro S.; Nardi, Elena; Biza, Irene – Educational Studies in Mathematics, 2018

We examine teachers' use of resources as they prepare to teach the topic of numerical series of real numbers, in order to identify how their "personal relationship" with mathematical content--and its teaching--interacts with their use of a commonly used textbook. We describe this interplay between textbook and personal relationship, a…

Descriptors: Mathematics Instruction, Teaching Methods, Numbers, Textbooks

Czocher, Jennifer A. – Educational Studies in Mathematics, 2018

Contemporary scholars describe mathematical modeling as a transformation of a real-world problem to a mathematical problem and back again. This paper treats a critical issue in the modeling process: how modelers determine if the transformation from the real world to mathematics was carried out well. I present an empirically derived typology of…

Descriptors: Mathematical Models, Prediction, Engineering Education, Undergraduate Students

Depaepe, Fien; Van Roy, Patrick; Torbeyns, Joke; Kleickmann, Thilo; Van Dooren, Wim; Verschaffel, Lieven – Educational Studies in Mathematics, 2018

The transition from natural to rational numbers is difficult for most elementary school children. A major cause for these difficulties is assumed to be the "conceptual change" they need to undergo in order to see that several natural number properties do not apply to rational numbers. To appropriately handle pupils' difficulties,…

Descriptors: Preservice Teachers, Pedagogical Content Knowledge, Numbers, Experimental Groups

Radovic, Darinka; Black, Laura; Williams, Julian; Salas, Christian E. – Educational Studies in Mathematics, 2018

This paper presents the results of a systematic review of the empirical literature, reported in research journals, on Mathematics Learner Identity (MLI). In the mathematics education research field, arguments have been made that the conceptualization of Mathematics Identity (MI) is inconsistent and this makes the literature as a whole incoherent.…

Descriptors: Mathematics Instruction, Self Concept, Higher Education, Periodicals

Soneira, Carlos; González-Calero, José Antonio; Arnau, David – Educational Studies in Mathematics, 2018

We present two empirical studies with 241 and 211 pre-service teachers that evaluate the explanatory power of word order matching and static comparison as models for the reversal error. We used tasks consisting of generating an algebraic equation representing a comparison given in a verbal statement. We introduce the types of magnitude involved in…

Descriptors: Preservice Teachers, Algebra, Equations (Mathematics), Comparative Analysis

Zengin, Yilmaz – Educational Studies in Mathematics, 2018

The purpose of this study was to explore how university students construct the relationship between the concepts of differential and derivative with the integration of GeoGebra and the ACODESA method. The participants in this study were 33 pre-service mathematics teachers. An open-ended questionnaire, knowledge test, tasks, and participants'…

Descriptors: Mathematics Instruction, Mathematical Concepts, Correlation, Preservice Teachers

Marmur, Ofer; Zazkis, Rina – Educational Studies in Mathematics, 2018

We investigate responses of prospective secondary school teachers to a task related to the inverse function concept. We utilize ideas of fuzzy logic as a theoretical lens in analyzing the participants' demonstrated avoidance of refuting the existence of an inverse to a quadratic function. The analysis is based on 29 responses to a scripting task,…

Descriptors: Secondary School Students, Preservice Teachers, Secondary School Mathematics, Mathematics Instruction

Zandieh, Michelle; Ellis, Jessica; Rasmussen, Chris – Educational Studies in Mathematics, 2017

As part of a larger study of student understanding of concepts in linear algebra, we interviewed 10 university linear algebra students as to their conceptions of functions from high school algebra and linear transformation from their study of linear algebra. An overarching goal of this study was to examine how linear algebra students see linear…

Descriptors: Mathematics Instruction, Algebra, Mathematical Concepts, Problem Solving

Mao, Yi; White, Tyreke; Sadler, Philip M.; Sonnert, Gerhard – Educational Studies in Mathematics, 2017

This study investigates how the use of calculators during high school mathematics courses is associated with student performance in introductory college calculus courses in the USA. Data were drawn from a nationally representative sample of 7087 students enrolled in college calculus at 134 colleges and universities. They included information about…

Descriptors: Calculators, Technology Uses in Education, Mathematics Achievement, Mathematics Education