The purpose of this study is to define teacher views about the difficulties in learning and teaching middle school statistics subjects. To serve this aim, a number of interviews were conducted with 10 middle school maths teachers in 2011-2012 school year in the province of Trabzon. Of the qualitative descriptive research methods, the…

We interviewed 40 students each in grades 7 and 11 to investigate their integer-related reasoning. In one task, the students were asked to write and interpret equations related to a story problem about borrowing money from a friend. All the students solved the story problem correctly. However, they reasoned about the problem in different ways.…

The aim of this study was to observe the development process of the concept of a parabola in Taxicab geometry. The study was carried out in two stages. First, some activities related to Euclidean geometry and Taxicab geometry were designed based on concept development and real-life applications, and they were administered to a ninth-grade student.…

This study presents a subset of factors and their association with students' achievement in school algebra. The participants were students who had enrolled in 2007 at the ninth year of Greek public education (third year of middle school). A total of 735 students participated (aged 14-15 years) from 37 public secondary schools. The sample…

Self-efficacy beliefs in mathematics, as a dimension of the affective domain, are related with students' performance on solving tasks and mainly on overcoming cognitive obstacles. The present study investigated the interrelations of cognitive performance on geometry and young students' self-efficacy beliefs about using representations…

Proof and proving are important components of school mathematics and have multiple functions in mathematical practice. Among these functions of proof, this paper focuses on the discovery function that refers to invention of a new statement or conjecture by reflecting on or utilizing a constructed proof. Based on two cases in which eighth and ninth…

In this paper, we explore a novel approach for assessing the impact of a professional development programme on classroom practice of in-service middle school mathematics teachers. The particular focus of this study is the assessment of the impact on teachers' employment of strategies used in the classroom to foster the mathematical habits of…

Teacher professional development activities in the USA take many forms from half-day workshops that focus on particular topics or classroom techniques to long term course work that offers university level credit. With few exceptions, the primary goal of such activities is to enhance the teachers' classroom effectiveness and improve student…

This article presents a lesson that uses prediction items, clickers and visuals via PowerPoint slides to help prospective middle-school teachers address two common misconceptions: multiplication makes bigger and division makes smaller (MMB-DMS). Classroom research was conducted to explore the viability of such a lesson. Results show that the…

In this study, middle school students' abilities to translate mathematical texts into algebraic representations and vice versa were investigated. In addition, students' difficulties in making such translations and the potential sources for these difficulties were also explored. Both qualitative and quantitative methods were used to collect data…

The aim of this study is twofold. The first is to investigate the ability of secondary school students to understand the different distribution schemes and thus, indirectly, to contribute to the educational discussion and approach to be used for distribution problems so as to lessen reliance on the ubiquitous cross-multiplication rule in…

The objective of this study was to investigate and characterize the geometric thinking and understanding of four pre-service middle and secondary mathematics teachers while considering their spatial ability levels. To investigate the differences, if any, that existed among these pre-service middle and secondary teachers with different spatial…

Teachers of middle school mathematics should have a deep conceptual understanding of the elementary mathematics taught in middle school, should possess the mathematics knowledge for teaching that is required to effectively teach mathematics in middle school and should have the ability to effectively teach mathematics to, and enhance the maths…

This article reports the development and refinement of science and mathematics integrated activities for middle school students. The expectations of the National Council of Teachers of Mathematics that students develop an understanding of mathematics and an ability to apply it gave birth to these activities. The expectations of the National…

This note presents a teaching suggestion, using the history of mathematics, to give students from middle school and high school the possibility of facing problems found in old mathematics books and comparing their solutions with those given in those books. (Contains 3 figures and 1 table.)