In this study we investigated word-problem (WP) item characteristics, individual differences in text comprehension and arithmetic skills, and their relations to mathematical WP-solving. The participants were 891 fourth-grade students from elementary schools in Finland. Analyses were conducted in two phases. In the first phase, WP characteristics…

This paper presents the second phase of a larger research program with the purpose of exploring the possible consequences of a gap between what is done in the classroom regarding mathematical word problem solving and what research shows to be effective in this particular field of study. Data from the first phase of our study on teachers'…

This paper examines turn-by-turn interactions [Wagner, D., & Herbel-Eisenmann, B. (2014). Mathematics teachers' representations of authority. "Journal of Mathematics Teacher Education," 17(3), 201-225. doi:10.1007/s10857-013-9252-5] in mathematics professional development, looking specifically at facilitators' positioning of…

This study explored how approximating the practice of mathematicians by communally negotiating the standards for proof mediates middle grade students' abilities to collaboratively construct mathematical arguments. Forty-seven eighth-grade students engaged in an instructional sequence wherein they, along with the instructors, negotiated communal…

This article provides information to educational leaders about how to address the challenge of supporting students who are emergent multilingual--i.e., those identified as English Learners (ELs) by their schools--in middle grades mathematics classes. The ideas in this article draw on research and collaborations with hundreds of teachers across the…

This study aims to analyze the correlation of the student's progress in solving a given problem with the logic of the teacher in the layout of the questions asked. The research was conducted in the government's secondary schools and colleges in the district of Abidjan and involved 453 participants, including 423 student and 30 teachers. The data…

The introduction of new standards of mathematical education requires to stop understanding of the learning process as the transfer of ready-made knowledge and experience. Educational activity built on the principle of self-construction of knowledge by schoolchildren is highly demanded in new environment. Tasks with parameters have high learning,…

Previous research has investigated the representational translation practices of high school students, high school teachers, and college preservice teachers in various mathematical contexts including linear functions. Findings from qualitative research has frequently led to new notions about participant work and understanding. Many quantitative…

Circle, ellipse, parabola, hyperbolic curves are defined as conic sections from the intersection of a coni with a plane at different angles. These curves can be found in different positions depending on the different angles. In this case, rotation transformation can be applied to the curves so that their major axes are brought to the horizontal…

This study explores the effects of number structure characteristics on student thinking in solving missing-value proportion problems. Prior research has documented that the presence of an integer ratio is beneficial, particularly if the integer relationship is within the same measure space. Less information on student performance is available,…

The introduction of auxiliary elements as a method of solving problems in high-school geometry is considered here from two perspectives: first, to elicit recalling some known result or concretizing a definition and, second, as a means of shifting the focus and structure of the students' attention. We present and compare various examples of how…

This study aims to generate the valid and practical PISA-like mathematics problems on uncertainty and data using the football game context of Asian Games. It also aims to see the potential effects of the problems towards the high school students' mathematical ability. This study used a design research methodology with the type of development study…

This study aimed to determine the relationship between routine/non-routine problem-solving achievements and self-regulation skills of seventh-grade students who are educated in Turkey. For this purpose, in the 2016-2017 academic year, 133 seventh-grade students who were randomly selected in Denizli and Bursa provinces were studied. In the scope of…

This article explores three processes involved in attending to evidence of students' thinking, one of the Mathematics Teaching Practices found in "Principles to Actions: Ensuring Mathematical Success for All." These processes, explored during a classroom activity on proportional relationships, are discussed in this article, another…

Mathematical reasoning is a key proficiency in mathematics, however primary school teachers may have trouble noticing students' mathematical reasoning mid-lesson. In this study, students' mathematical reasoning has been analysed using video data collected as one grade of Year 5 and 6 students worked through the 'Painted Cube' task. Analysis…