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Llewellyn, Anna – Educational Studies in Mathematics, 2016

In this article, I use a Foucauldian poststructural analysis to examine productions of progress within key discursive spaces of mathematics education. These sites of production are educational policy, mathematics education research and case studies of primary school student-teachers in England. From my analysis, I show how progress governs what is…

Descriptors: Mathematics Education, Educational Policy, Educational Research, Case Studies

Hilton, Annette; Hilton, Geoff; Dole, Shelley; Goos, Merrilyn – Educational Studies in Mathematics, 2016

Proportional reasoning, the ability to use ratios in situations involving comparison of quantities, is essential for mathematical competence, especially in the middle school years, and is an important determinant of success beyond school. Research shows students find proportional reasoning and its foundational concepts difficult. Proportional…

Descriptors: Mathematics Instruction, Mathematics Skills, Middle School Students, Mathematical Logic

Carlsen, Martin; Erfjord, Ingvald; Hundeland, Per Sigurd; Monaghan, John – Educational Studies in Mathematics, 2016

This paper focuses on kindergarten teachers' interactions with young children during mathematical learning activities involving the use of digital tools. We aim to characterise the teachers' roles and actions in these activities and extend considerations of teachers' orchestrations current in the research literature with regard to agency and…

Descriptors: Kindergarten, Preschool Teachers, Young Children, Mathematics Activities

Wilkie, Karina J. – Educational Studies in Mathematics, 2016

Algebra has been explicit in many school curriculum programs from the early years but there are competing views on what content and approaches are appropriate for different levels of schooling. This study investigated 12-13-year-old Australian students' algebraic thinking in a hybrid environment of functional and equation-based approaches to…

Descriptors: Secondary School Mathematics, Algebra, Thinking Skills, Problem Solving

Yau, King Woon; Mok, Ida Ah Chee – Educational Studies in Mathematics, 2016

Students' seatwork plays an important part in their learning in their lessons, and very often, students record their private work in the notebooks during seatwork. The students' private work in their notebooks reflects students' learning and thinking, representing explicit learning outcomes. The students' private work in their notebooks of 14…

Descriptors: Mathematics Instruction, Independent Study, Demonstrations (Educational), Task Analysis

Arzarello, Ferdinando; Robutti, Ornella; Thomas, Mike – Educational Studies in Mathematics, 2015

The literature on gestures describes how they often comprise iconic, deictic and metaphoric dimensions, but the interplay between these dimensions can be very subtle and nuanced. Due to the abstract nature of the subject, the use of gestures in the learning of mathematics means that the metaphoric dimension is often prominent. However, iconic and…

Descriptors: Nonverbal Communication, Vignettes, Mathematics Instruction, Figurative Language

Fauskanger, Janne – Educational Studies in Mathematics, 2015

Mathematical knowledge for teaching (MKT) measures have been widely adopted by researchers. Critics have debated the value of such measures and questioned the type of knowledge that these access. This article reports on a study where the challenges in measuring teachers' knowledge were illuminated through investigating relationships between the…

Descriptors: Knowledge Base for Teaching, Teacher Competency Testing, Evaluation Problems, Multiple Choice Tests

van Hoof, Jo; Verschaffel, Lieven; van Dooren, Wim – Educational Studies in Mathematics, 2015

The natural number bias is known to explain many difficulties learners have with understanding rational numbers. The research field distinguishes three aspects where natural number properties are sometimes inappropriately applied in rational number tasks: density, size, and operations. The overall goal of this study was to characterize the…

Descriptors: Numbers, Elementary Secondary Education, Bias, Numeracy

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

Simpson, Adrian – Educational Studies in Mathematics, 2015

A model solution to a proof question on an examination is explored and subjected to a detailed analysis in terms of Toulmin's scheme of argumentation. In doing so, the ways in which the scheme has been variously used in the mathematics education and philosophical literature are contrasted. The analysis raises a number of issues concerning the…

Descriptors: Mathematical Logic, Models, Persuasive Discourse, Mathematics Education

Dietiker, Leslie – Educational Studies in Mathematics, 2015

This paper proposes a theoretical framework for interpreting the content found in mathematics curriculum in order to offer teachers and other mathematics educators comprehensive conceptual tools with which to make curricular decisions. More specifically, it describes a metaphor of "mathematics curriculum as story" and defines and…

Descriptors: Mathematics Instruction, Mathematics Curriculum, Figurative Language, Story Telling

Ing, Marsha; Webb, Noreen M.; Franke, Megan L.; Turrou, Angela C.; Wong, Jacqueline; Shin, Nami; Fernandez, Cecilia H. – Educational Studies in Mathematics, 2015

Engaging students as active participants in mathematics classroom discussions has great potential to promote student learning. Less well understood is how teachers can promote beneficial student participation, and how teacher-student interaction relates to student achievement. This study examined how the kinds of teacher practices that may…

Descriptors: Elementary School Mathematics, Elementary School Students, Student Participation, Teacher Student Relationship

Ronda, Erlina – Educational Studies in Mathematics, 2015

This paper describes five growth points in linking representations of function developed from a study of secondary school learners. Framed within the cognitivist perspective and process-object conception of function, the growth points were identified and described based on linear and quadratic function tasks learners can do and their strategies…

Descriptors: Secondary School Mathematics, Mathematics Instruction, Teaching Methods, Mathematical Concepts

Weinberg, Aaron; Fukawa-Connelly, Tim; Wiesner, Emilie – Educational Studies in Mathematics, 2015

Researchers have increasingly focused on how gestures in mathematics aid in thinking and communication. This paper builds on Arzarello's (2006) idea of a "semiotic bundle" and several frameworks for describing individual gestures and applies these ideas to a case study of an instructor's gestures in an undergraduate abstract algebra…

Descriptors: Mathematics Instruction, Mathematics Teachers, Nonverbal Communication, Teaching Methods

Kidron, Ivy; Tall, David – Educational Studies in Mathematics, 2015

A teaching experiment-using Mathematica to investigate the convergence of sequence of functions visually as a sequence of objects (graphs) converging onto a fixed object (the graph of the limit function)-is here used to analyze how the approach can support the dynamic blending of visual and symbolic representations that has the potential to lead…

Descriptors: Visualization, Symbols (Mathematics), Graphs, Investigations