The aim of this study is to evaluate sixth-grade Turkish students' spatial visualization ability and to determine the strategies that students employ and the mistakes that they make while solving the problems requiring spatial reasoning. Therefore, the study examined the following achievements: visualizing different view images of…

In this article, we present a case study of six Singaporean elementary school teachers working in a Lesson Study team that prepared them for problem solving instruction. The Lesson Study process included preparing, observing, and critiquing mathematics lessons in the context of solving fractions tasks. By conducting Lesson Study, we anticipated…

When solving systems of equations by using matrices, many teachers present a Gauss-Jordan elimination approach to row reducing matrices that can involve painfully tedious operations with fractions (which I will call the traditional method). In this essay, I present an alternative method to row reduce matrices that does not introduce additional…

This paper reports on an experiment studying twelfth grade students' understanding of Rolle's Theorem. In particular, we study the influence of different concept images that students employ when solving reasoning tasks related to Rolle's Theorem. We argue that students' "container schema" and "motion schema" allow for rich concept images.…

The purpose of this paper is to describe and reflect on the changes in the new elementary mathematics teacher education curriculum in Turkey. It is our goal to share the revised teacher education curriculum with the outside mathematics teacher education community. The paper is organized around four major sections: An overview of the teacher…

The ability to integrate technology into instruction is among the characteristics of a competent mathematics teacher. Research indicates that the vast majority of teachers in Turkey believe the use of computers in education is important, but have limited knowledge and experience on how to use technology in their instruction. This paper describes…

This study investigated the effectiveness of collaboration between college lecturers and student peers in assessing the instructional practice of in-service student teachers (ISTs). The study was inspired by criticisms that college lecturers' assessments were not producing valid critiques of ISTs' mathematical and pedagogical competencies to…

The prediction of students' achievement in algebra in eighth and ninth grades has become a research interest for practical issues of placement. A group of simple, easily accessible variables was used to predict student performance in algebra after completion of eighth grade. The three variables of school type, grade level, and previous year…

This study investigates the effects of gender and year in program on the performance and mathematical self-efficacy beliefs of 145 pre-service mathematics teachers in Turkey. One of the main purposes of this study is to investigate how duration in a teacher education program influenced the performance and mathematical self-efficacy beliefs of…

Teacher-dominated classrooms with some student-centered elements are a perplexing phenomenon of Chinese mathematics classrooms. In-depth exploration of this phenomenon is helpful for understanding the features of mathematics teaching in China. This paper demonstrates how the teacher can encourage students to actively generate knowledge under the…

Out of the 38 nations studied in the 1999 "Trends in International Mathematics and Science Study" (TIMSS), children in Singapore scored highest in mathematics (National Center for Education Statistics, NCES, 2003). Why do Singapore's children do so well in mathematics? The reasons are undoubtedly complex and involve social aspects. However, the…

This research investigated the impact of personalizing mathematical word problems using individual student interests on student problem-solving performance. Ten word problems were selected randomly from a mathematics textbook to create a series of two assessments. Both assessments contained problems exactly as they appeared in the textbook and…

As is the case in any country there is a constant search to improve the mathematics offerings presented to school-goers in South Africa. The activity surrounding this search was intensified after the attainment of democracy. The primary aim of this search was to establish a mathematics curriculum that would result in productive learning and the…

Explores policy, practice, and research issues related to teaching and learning mathematics in multilingual classrooms in South Africa. Focuses on code-switching in multilingual mathematics classrooms. Points to the significance of language as power in mathematics education settings. Demonstrates the need for researching the relationship between…

Discusses linguistic influence on children's numerical development. Describes and reviews recent papers that address the relationship between number naming systems and children's numerical concepts. (Contains 20 references.) (ASK)