Mathematics majors' study of abstract algebra should provide these students with opportunities to connect what they are learning to their prior experiences with algebra in high school. This paper illustrates how such connections can be used to motivate the notion of binary operation and the axioms for a group.

In this article, the author discusses the perils of adhering to a data-driven model of instruction, and discusses how writing center coaches can become involved with all academic disciplines represented at their schools--even those with which they are not familiar--in order to help students learn how to think about the things they are studying and…

In this paper, results of a questionnaire about continuity of functions are analysed. The tested students attend Novi Sad grammar school. The aim of this test was to check the student's theoretical and visual knowledge of continuous functions at the end of their high school education. The questions were given with and without the graphs of…

Games are among the many types of activities that can be used to help promote number sense. Chosen and used wisely, games encourage learning and motivate many students to grasp concepts more quickly and fully. This article describes a popular and easy-to-implement number sense game--called Digits and Dice--most commonly used in conjunction with…

The authors discuss proportional reasoning as a challenging yet central concept for students in the middle grades that lays a foundation for mathematics studied later in high school. Four types of proportional reasoning problems are discussed: (1) Part-part-whole (comparing a subset (part) of a whole with its complement (other part) or the whole…

This paper explores the wide range of mathematics content and processes that arise in the secondary classroom via the use of unusual counting problems. A universal pedagogical goal of mathematics teachers is to convey a sense of unity among seemingly diverse topics within mathematics. Such a goal can be accomplished if we could conduct classroom…

A large proportion of American students are not psychologically connected or engaged to what is occurring in their classes; in addition, they fail to take school seriously, have lost interest in school, and do not value or seek out success (Steinberg, Brown, & Dornbusch, 1996). In addition, the relationship in a mathematics classroom between…

Learning in educational settings most often emphasizes declarative and procedural knowledge. Studies of expertise, however, point to other, equally important components of learning, especially improvements produced by experience in the extraction of information: "Perceptual learning." Here we describe research that combines principles of…

The purpose of this research is to compare American and Albanian students' achievement in Algebra 1 and to identify the educational practices that influence students' achievement in each country. The study compared algebraic solving abilities of 242 ninth-grade American students in Grand Forks (U.S.) and 219 students in Durres (Albania). The data…

This article is a cross-case study exploring two young African-American adolescent girls' experiences with school mathematics and the impact of the socio-cultural context upon their motivation and mathematical identity. Based on repeated in-depth interviews and ethnographic observation of their mathematics classroom, the researcher portrays…

A related study found a number of changes in the reflective stance of preservice teachers using a video case curriculum in a mathematics methods course. These included a higher level of reflection, an increased use of evidence, a shift from affective to pedagogical concerns, and increased attention to student thinking (Stockero, 2006). The…

This study sought to determine the effect of simulation-games environment on students' achievement in attitudes to mathematics in secondary school. Data was collected from a sample of 147 students in senior secondary school in Osun-State, Nigeria. t-test and analysis of variance was used to analyze the data collected for the study. The finding…

This article is designed to present an overview of critical theory, research, and evaluation for the developmental mathematics educator. Students caught in the gap between high school mathematics preparation and entry-level college mathematics expectations--developmental mathematics education students--need to have their personal narratives told…

This article discusses how math teachers at San Marcos High School turned to an online curriculum and in-class assessments to increase student achievement. Setting aside their 7-year-old textbooks, teachers filled the void largely with an online math curriculum, called Agile Mind, that comes equipped with an array of assessment tools. The idea was…

A unique early transfer scheme is described for one English secondary school and its eight feeder primary schools whereby all Year 6 children transfer to secondary school four weeks before the end of the summer term. The scheme has many implications. The main focus here comprises gender contrasts in children's perceptions of school life and…