Chinese pre-school children perform well in learning mathematics compared with English-speaking children. This study investigates the scenes behind Chinese preschool children's mathematics performance using teacher questionnaires and interviews. Results indicated that the Chinese number system appeared to afford advantages to Chinese children…

In light of the changing ethnic, racial, and cultural demographics in U.S. schools, there is a growing need by scholars and practitioners for teaching practices that are informed by cultural knowledge possessed by students. This comes at a time when standardized testing of student achievement has been given a central role in efforts to improve…

The National Council of Teachers of Mathematics [NCTM] noted that middle and high school students are expected to be able to both explain inequalities by using mathematical symbols and understand meanings by interpreting the solutions of inequalities. Unfortunately, research has revealed that not only do middle and high school students hold…

Two classes of third grade students (n = 56) from an elementary school located on the western coast of the United States participated in this research study. A pretest-posttest control group design was utilized to examine changes between two groups of participating students' in mathematics achievement and dispositions, including beliefs about…

The goal of the present article is to provide the teacher with an alternative perspective in writing multiple-choice questions. To the techniques and advice available in the literature on the topic, three further aspects are added whose provenance is an emerging line of research--the exemplification of concepts. The objective is to expand…

Teachers are tasked with supporting students' learning of abstract mathematical concepts. Students can represent their mathematical understanding in a variety of modes, for example: manipulatives, pictures, diagrams, spoken languages, and written symbols. Although most students easily pick up rudimentary knowledge through the use of concrete…

This article explores junior high school students' views regarding what it takes to be successful in mathematics. Qualitative and quantitative methods were employed to collect and analyse data, describe and interpret junior high school students (12-14 years) perceptions about what it takes to be successful in mathematics. 22 students from four…

Recent mathematics education reform calls for efforts to create collaborative and student-centered environments, where students have opportunities to reason and construct their understanding as part of a community of learners. Mathematics instruction should provide students opportunities to engage in mathematical inquiry and meaning making through…

This article reports an innovative use of photographs in a pencil-and-paper test which was developed to assess young children's understanding of mass measurement. Two hundred and ninety-five tests were administered by thirteen teachers of Years 1 and 2 children in 3 urban and rural schools. Many of these children of 6-8 years of age were able to…

This is an ethnographic study of promotion of metacognition, focusing on the teaching practices in secondary mathematics classrooms of three teachers in the UK. With all three teachers, observations of their teaching and interviews regarding their teaching were conducted. The main aim was analysing and substantiating the parallels and differences…

In this paper, we introduce a new approach to compute the partial fraction decompositions of rational functions and describe the results of its trials at three secondary schools in Hong Kong. The data were collected via quizzes, questionnaire and interviews. In general, according to the responses from the teachers and students concerned, this new…

In mathematics education, there has been tension between deep learning and repetitive learning. Western educators often emphasize the need for students to construct a conceptual understanding of mathematical symbols and rules before they practise the rules (Li, 2006). On the other hand, Chinese learners tend to be oriented towards rote learning…

Parental involvement in the form of "at-home" interest and support has a major influence on pupils' educational outcomes and attitudes. Many parents, however, feel uninformed about current educational practices and how they can be more involved with their child's learning. A number of initiatives have been implemented internationally to encourage…

Students who are preparing to study science and engineering need to understand equation solving but adult students returning to study can find this difficult. In this paper, the design of an online resource, Equations2go, for helping students learn to solve linear equations is investigated. Students learning to solve equations need to consider…

This paper adds to a discussion initiated by Askew (2007) about two contrasting views of scaffolding; as a "tool for results" and a "tool-and-result". The wider study the article is drawn from took place in four primary classrooms with Pasifika students within a low socioeconomic setting. Two classroom episodes drawn from one of the teacher's…