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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

Zazkis, Rina; Rouleau, Annette – Educational Studies in Mathematics, 2018

In our exploration of the order of operations we focus on the following claim: "In the conventional order of operations, division should be performed before multiplication." This initially surprising claim is based on the acronym BEDMAS, a popular mnemonic used in Canada to assist students in remembering the order of operations. The…

Descriptors: Mathematics Instruction, Mathematical Concepts, Teaching Methods, Mnemonics

Chambris, Christine – Educational Studies in Mathematics, 2018

This paper examines the existence and impact of theoretical mathematical foundations on the teaching and learning of whole numbers in elementary school in France. It shows that the study of the New Math reform--which was eventually itself replaced in the longer term--provides some keys to understanding the influence of mathematical theories on…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Elementary Education, Teaching Methods

Sarouphim, Ketty M.; Chartouny, Madona – Educational Studies in Mathematics, 2017

The purpose of this study was to investigate gender differences in students' mathematics achievement and in their attitudes toward mathematics. Another purpose was to examine mathematics teachers' beliefs and their perceptions of their male and female students' ability. The sample consisted of 692 students (353 girls, 339 boys) between the ages of…

Descriptors: Foreign Countries, Mathematics, Mathematics Education, Mathematics Instruction

Glade, Matthias; Prediger, Susanne – Educational Studies in Mathematics, 2017

According to the design principle of progressive schematization, learning trajectories towards procedural rules can be organized as independent discoveries when the learning arrangement invites the students first to develop models for mathematical concepts and model-based informal strategies; then to explore the strategies and to discover pattern…

Descriptors: Grade 6, Video Technology, Fractions, Mathematics Instruction

Blanton, Maria; Brizuela, Bárbara M.; Gardiner, Angela Murphy; Sawrey, Katie; Newman-Owens, Ashley – Educational Studies in Mathematics, 2017

Recent research suggests that children in elementary grades have some facility with variable and variable notation in ways that warrant closer attention. We report here on an empirically developed progression in first-grade children's thinking about these concepts in functional relationships. Using learning trajectories research as a framework for…

Descriptors: Elementary School Mathematics, Grade 1, Mathematics Instruction, Thinking Skills

Schüler-Meyer, Alexander – Educational Studies in Mathematics, 2017

After being introduced to the distributive law in meaningful contexts, students need to extend its scope of application to unfamiliar expressions. In this article, a process model for the development of structure sense is developed. Building on this model, this article reports on a design research project in which exercise tasks support students…

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

Remillard, Janine; Kim, Ok-Kyeong – Educational Studies in Mathematics, 2017

This paper proposes a framework for identifying the mathematical knowledge teachers activate when using curriculum resources. We use the term "knowledge of curriculum embedded mathematics" (KCEM) to refer to the mathematics knowledge activated by teachers when reading and interpreting mathematical tasks, instructional designs, and…

Descriptors: Mathematics Instruction, Pedagogical Content Knowledge, Mathematics Curriculum, Mathematics Skills

Markovits, Zvia; Forgasz, Helen – Educational Studies in Mathematics, 2017

The aim of this study was to explore the beliefs of elementary school students about mathematics and about themselves as mathematics learners. The participants, Israeli grade 4 and grade 6 students, completed questionnaires. Using an "animal metaphor" to tap beliefs, some students perceived mathematics as difficult and complicated, while…

Descriptors: Elementary School Students, Student Attitudes, Mathematics Education, Mathematics Instruction

Xie, Jinxia; Masingila, Joanna O. – Educational Studies in Mathematics, 2017

Existing studies have quantitatively evidenced the relatedness between problem posing and problem solving, as well as the magnitude of this relationship. However, the nature and features of this relationship need further qualitative exploration. This paper focuses on exploring the interactions, i.e., mutual effects and supports, between problem…

Descriptors: Fractions, Mathematics Instruction, Teaching Methods, Problem Solving

Tsamir, Pessia; Tirosh, Dina; Levenson, Esther S.; Barkai, Ruthi; Tabach, Michal – Educational Studies in Mathematics, 2017

This paper describes kindergarten children's engagement with two patterning activities. The first activity includes two tasks in which children are asked to choose possible ways for extending two different repeating patterns and the second activity calls for comparing different pairs of repeating patterns. Children's recognition of the unit of…

Descriptors: Kindergarten, Mathematics Instruction, Pattern Recognition, Mathematical Concepts

Cueto, Santiago; León, Juan; Sorto, M. Alejandra; Miranda, Alejandra – Educational Studies in Mathematics, 2017

After improving enrolment rates significantly, many developing countries such as Peru are facing the challenge to increase learning levels among students. Over the past few years, many researchers have turned to teacher-related variables as a way to better understand classroom processes that may help increase learning levels among students. In…

Descriptors: Foreign Countries, Pedagogical Content Knowledge, Teacher Competencies, Mathematics Teachers

Stylianides, Gabriel J.; Stylianides, Andreas J. – Educational Studies in Mathematics, 2017

The concept of "proof" has attracted considerable research attention over the past decades in part due to its indisputable importance to the discipline of mathematics and to students' learning of mathematics. Yet, the teaching and learning of proof is an instructionally arduous territory, with proof being recognized as a hard-to-teach…

Descriptors: Validity, Mathematical Logic, Intervention, Mathematics Instruction

Bunck, M. J. A.; Terlien, E.; van Groenestijn, M.; Toll, S. W. M.; Van Luit, J. E. H. – Educational Studies in Mathematics, 2017

Children who experience difficulties with learning mathematics should be taught by teachers who focus on the child's best way of learning. Analyses of the mathematical difficulties are necessary for fine-tuning mathematics education to the needs of these children. For this reason, an instrument for Observing and Analyzing children's Mathematical…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Test Reliability, Young Children

Csíkos, Csaba – Educational Studies in Mathematics, 2016

The focus of this study is the relationship between students' performance in mental calculation and the strategies they use when solving three-digit mental addition problems. The sample comprises 78 4th grade students (40 boys and 38 girls). Their mean age was 10 years and 4 months. The main novelties of the current research include (1)…

Descriptors: Elementary School Mathematics, Elementary School Students, Addition, Mental Computation