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Iori, Maura – Educational Studies in Mathematics, 2018

While many semiotic and cognitive studies on learning mathematics have focused primarily on students, this study focuses mainly on teachers, by seeking to bring to light their awareness of the semiotic and cognitive aspects of learning mathematics. The aim is to highlight the degree of awareness that teachers show about: (1) the distinction…

Descriptors: Mathematics Teachers, Mathematics Instruction, Mixed Methods Research, Semiotics

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

Chimoni, Maria; Pitta-Pantazi, Demetra; Christou, Constantinos – Educational Studies in Mathematics, 2018

The aim of this study is to better understand the notion of early algebraic thinking by describing differences in grade 4-7 students' thinking about basic algebraic concepts. To achieve this goal, one test that involved generalized arithmetic, functional thinking, and modeling tasks, was administered to 684 students from these grades. Quantitative…

Descriptors: Algebra, Grade 4, Grade 5, Grade 6

van Lieshout, Ernest C. D. M.; Xenidou-Dervou, Iro – Educational Studies in Mathematics, 2018

At the start of mathematics education children are often presented with addition and subtraction problems in the form of pictures. They are asked to solve the problems by filling in corresponding number sentences. One type of problem concerns the representation of an increase or a decrease in a depicted amount. A decrease is, however, more…

Descriptors: Mathematics Instruction, Cognitive Processes, Difficulty Level, Addition

Jones, Steven R. – Educational Studies in Mathematics, 2018

Many mathematical concepts may have prototypical images associated with them. While prototypes can be beneficial for efficient thinking or reasoning, they may also have self-attributes that may impact reasoning about the concept. It is essential that mathematics educators understand these prototype images in order to fully recognize their benefits…

Descriptors: Mathematics Instruction, Models, Mathematical Concepts, Concept Formation

Wilkie, Karina J.; Sullivan, Peter – Educational Studies in Mathematics, 2018

Middle school students have been pervasively described in the research literature as exhibiting disaffection, disengagement, and a lack of interest in mathematics classrooms. This study investigated this notion empirically using students' own voice on their wishes for mathematics learning to see if they characterise themselves in this way in their…

Descriptors: Middle School Students, Mathematics Instruction, Student Attitudes, Student Motivation

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

Johnson, Heather Lynn; McClintock, Evan – Educational Studies in Mathematics, 2018

In this design experiment study, we investigated the problem: What conditions might foster students' discernment of a critical aspect--variation in unidirectional change (e.g., discerning a "decreasing" increase)? At a public middle school in a large US city, we led a sequence of three days of whole class lessons, followed by task-based,…

Descriptors: Statistical Analysis, Middle School Students, Grade 7, Interviews

Louie, Nicole L. – Educational Studies in Mathematics, 2018

This paper responds to the burgeoning literature on mathematics teacher noticing, arguing that its cognitive orientation misses the cultural and ideological dimensions of what and how teachers notice. The author highlights Goodwin's concept of "professional vision" as a way of bringing analyses of culture and power into studies of…

Descriptors: Mathematics Teachers, Mathematics Instruction, Teaching Methods, Perception

Venkat, Hamsa; Askew, Mike – Educational Studies in Mathematics, 2018

In this paper, we present and discuss a framework for considering the quality of primary teachers' mediating of primary mathematics within instruction. The "mediating primary mathematics" framework is located in a sociocultural view of instruction as mediational, with mathematical goals focused on structure and generality. It focuses on…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Mathematical Concepts, Models

Heyd-Metzuyanim, Einat; Munter, Charles; Greeno, James – Educational Studies in Mathematics, 2018

We examine the case of a lesson planning session within the context of professional development for dialogic instruction, and the lesson enacted following this session, which was intended to provide opportunities to 11th and 12th grade algebra students to explore polynomial functions in terms of their roots and linear factors. Our goal was,…

Descriptors: Faculty Development, Mathematics Instruction, Secondary School Mathematics, Teaching Methods

Kontorovich, Igor' – Educational Studies in Mathematics, 2018

This article is concerned with cognitive aspects of students' struggles in situations in which familiar concepts are reconsidered in a new mathematical domain. Examples of such cross-curricular concepts are divisibility in the domain of integers and in the domain of polynomials, multiplication in the domain of numbers and in the domain of vectors,…

Descriptors: Mathematics Instruction, Mathematical Concepts, Mathematical Formulas, Algebra

Takeuchi, Miwa Aoki – Educational Studies in Mathematics, 2018

This study examined immigrant parents' involvement in early years mathematics learning, focusing on learning of multiplication in in- and out-of-school settings. Ethnographic interviews and workshops were conducted in an urban city in Japan, to examine out-of-school practices of immigrant families. Drawing from sociocultural theory of learning and…

Descriptors: Immigrants, Parent Participation, Mathematics Instruction, Multiplication

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

Foster, Colin – Educational Studies in Mathematics, 2018

Achieving fluency in important mathematical procedures is fundamental to students' mathematical development. The usual way to develop procedural fluency is to practise repetitive exercises, but is this the only effective way? This paper reports three quasi-experimental studies carried out in a total of 11 secondary schools involving altogether 528…

Descriptors: Mathematics Achievement, Mathematics Instruction, Comparative Analysis, Quasiexperimental Design