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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

Demonty, Isabelle; Vlassis, Joëlle; Fagnant, Annick – Educational Studies in Mathematics, 2018

Research focusing on algebra from primary to early secondary school level has made several major advances over the past decades. Students' difficulties have been identified and supportive teaching and learning environments have been set up (Cai & Knuth, 2011; Kieran, 2007; Radford, 2008, "Mathematics Education Research Journal," 26,…

Descriptors: Mathematics Instruction, Algebra, Elementary Secondary Education, Knowledge Base for Teaching

El Mouhayar, Rabih – Educational Studies in Mathematics, 2018

This study explored progression of students' level of reasoning and generalization in numerical and figural reasoning approaches across grades and in different pattern generalization types. An instrument that included four figural patterns was administered to a sample of 1232 students from grades 4 to 11 from five private schools. The findings…

Descriptors: Mathematics Instruction, Mathematics Skills, Generalization, Mathematical Logic

Craig, Jeffrey – Educational Studies in Mathematics, 2018

In this article, I consider the question: why did numeracy become a relevant and sensible thing to consider in mathematics education? I historicize the numeracy discourse by writing a genealogy of how the concept of "numeracy" emerged in scholarship, with a focus on the USA. I argue that numeracy descends from three mathematics education…

Descriptors: Numeracy, Educational Change, Equal Education, Discourse Analysis

de Toledo e Toledo, Neila; Knijnik, Gelsa; Valero, Paola – Educational Studies in Mathematics, 2018

The pedagogical principle "learning by research" guides the current curriculum in agricultural high schools in Brazil. A problematization of the principle shows how (1) it feeds into current neoliberal and corporate agendas in the education sector, and (2) it associates mathematical formalism and abstraction as necessary conditions for…

Descriptors: Foreign Countries, High Schools, Neoliberalism, Agricultural Education

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

Erath, Kirstin; Prediger, Susanne; Quasthoff, Uta; Heller, Vivien – Educational Studies in Mathematics, 2018

Language, which plays a special role for the learning of mathematics, is investigated in this article for the specific discourse practice of explaining during whole-class discussions: On the one hand, explaining is a medium for learning since school cannot be thought of without communication. On the other hand, students at the beginning of…

Descriptors: Mathematics Instruction, Discussion (Teaching Technique), Large Group Instruction, Secondary School Students

de Vittori, Thomas – Educational Studies in Mathematics, 2018

Part of the international reflection on the use of history in mathematics teaching consists in a quest of frameworks and models suitable for empirical studies. Following this demand, this paper explores the way Balacheff's cK? model, a model taken from the didactics of mathematics, can be used in the analysis of learning at student level. In the…

Descriptors: History, Mathematics Instruction, Models, Geometry

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

Hall, Jennifer; Towers, Jo; Martin, Lyndon C. – Educational Studies in Mathematics, 2018

In this article, we demonstrate how I poems, part of the Listening Guide method, can help researchers to better understand the multiple voices that might comprise a student's mathematical identity. We provide an analysis of one student's interview as an example of this method. We argue that the use of the Listening Guide method illuminates the…

Descriptors: Poetry, Teaching Methods, Mathematics Instruction, Identification (Psychology)

de Vetten, Arjen; Schoonenboom, Judith; Keijzer, Ronald; van Oers, Bert – Educational Studies in Mathematics, 2018

Teachers who engage primary school students in informal statistical inference (ISI) must themselves have good content knowledge of ISI (ISI-CK). However, little is known about how college education for pre-service teachers can contribute to the development of their ISI-CK. To address this shortcoming, we used a case study to investigate ISI-CK…

Descriptors: Statistical Inference, Elementary School Students, Knowledge Level, Preservice Teachers

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

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

Cadež, Tatjana Hodnik; Kolar, Vida Manfreda – Educational Studies in Mathematics, 2018

Fractions are an important part of the primary school mathematics curriculum, being introduced to children in the Slovenian educational system during the second grade (at age seven). For clarification of terms it is worth mentioning that the term "fraction" is only introduced in the sixth grade. Before that, the term "equal parts of…

Descriptors: Grade 5, Elementary School Students, Elementary School Mathematics, Fractions

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