Provides some examples of mathematics problems that have solutions involving triangular numbers. Illustrates the observation of number patterns from which conjectures and generalizations can be made. Suggests other extensions for further investigation. (ASK)

Describes a study on secondary school students' ways of thinking about linear, quadratic, rational, and square-root inequalities. Indicates that using graphic representations of parabolas when solving rational and quadratic inequalities usually yielded correct solutions and difficulties arose when students failed to reject the excluded values or…

This article describes one way of embedding remediation in the context of studying more advanced mathematical concepts. In the process of doing so, ways to foster mathematical argumentation and proof are also introduced.

Although this article is reprinted from a 1978 issue of "Arithmetic Teacher," its content is relevant to today's conversations about the roles of conceptual understanding and procedural fluency in the teaching of mathematics. This article attempts to advance and demonstrate the proposition that moves in teaching mathematics can serve as a basis…

This article discusses mathematics in terms of how Japanese students learn. (Contains 11 figures.)

The most important objective when starting a class on a previously unknown branch of mathematics is to ensure that the students enjoy and appreciate the significance of this new aspect of mathematics. Inundating them with a flood of technical terms and definitions without any reality experience is a fast way to send the students out of class…

This paper explores the wide range of pure mathematics that becomes accessible through the use of problems involving powers. In particular we stress the need to balance an applied and context based pedagogical and curricular approach to mathematics with the powerful pure mathematics beneath the simplicity of easily stated and understandable…

This paper discusses the use of geometry and proportional reasoning techniques used at the United States Department of Agriculture by two of its branches: the Farm Service Agency and the Natural Resources Conservation Service. This paper discusses the agricultural agency and two branches involved, details a seven-lesson geometry module for high…

This article presents a project that introduces compositions and inverses of functions, using a method that compliments the learning styles of Native American students.

This activity introduces students to the need for and rationale of hypothesis testing, using a basketball scenario familiar to even the most casual of fans.

Painting the Cube is commonly used in middle and high school mathematical courses as a mathematically rich problem, wherein the exposed faces of the large cubes are painted after being assembled from small unit cubes. The problem perfectly combines algebraic as well as geometrical aspects and helps students to study and understand various linear,…

How can teachers learn what they need to know? Every community of educators, regardless of field or specialization, can benefit from being well informed about current research findings. A considerable amount of mathematics education research exists to inform teachers and administrators about teaching and learning mathematics. Research can show…

States are increasingly focusing the mission of their elementary and secondary education systems on preparing all students for success in postsecondary education and 21st century careers. As standards have increased, so too have graduation requirements. Today, 20 states and the District of Columbia have adopted such high school graduation…

This case study seeks to explain why a Yup'ik middle schooler, Nora, from a remote Alaskan village, was differently constructed as a math learner by her 6th- and 7th-grade math teachers. When a culturally relevant curriculum was used in 6th grade, Nora had a greater opportunity for leadership, ownership of knowledge, collaborative problem solving,…

This paper examines the integration of Turkish labour migrant children in four countries across Europe in terms of their educational performance. By looking at the PISA 2003 (Programme for International Student Assessment) data pertaining to mathematics achievement of 15-year-olds, it explores the effects of ethnicity, gender and family…