This article describes a new approach to helping kindergarten students develop conceptual understandings about calendars, representation of time, and elapsed time.

Mathematics is not only taught because it is useful. It should be a source of delight and wonder, offering pupils intellectual excitement and an appreciation of its essential creativity. In this article, the author discusses four basic principles that he currently believes: (1) All children can do mathematics; (2) Active participation is required…

The main aim of this article is to discuss the attitudes to mathematics of students taking a basic mathematics course at a Swedish university, and to explore possible links between how well such students manage to solve tasks about limits of functions and their attitudes. Two groups, each of about a hundred students, were investigated using…

This paper examines the change in young children's understanding of "equal", "more", "less", and "between", words commonly used in equivalent and non-equivalent situations, over a 3-year period. Seventy-six children participated in the longitudinal study. Each year they were asked to share their understanding of these four words. Past research has…

At the start of a freshman calculus course, many students conceive the classical definition of limit as the most problematic part of calculus. They not only find it difficult to understand, but also consider it of no use while solving most of the limit problems and therefore, skip it. This paper reformulates the rigorous definition of limit, which…

This investigation involves first assessing and then designing instruction to resolve student difficulties with addition facts. The ultimate goal was improving students' computational fluency.

Examples of how good children's literature, supported by opportunities to work on meaningful tasks, and skillful questioning can promote mathematical learning are presented. Helping children solve problems, reason, value, feel confident, and communicate their thinking as mathematicians makes mathematical concepts come alive in young children's…

The National Mathematics Advisory Panel was established within the Department of Education as part of the President's "American Competitiveness Initiative" through Executive Order 13398, April 18, 2006. This document fulfills the obligation of that order to issue a Preliminary Report no later than January 31, 2007. The Panel chose to divide into…

This article describes ways in which digital imagery can be used to enhance mathematics instruction. (Contains 6 figures.)

In this paper, we report on an international study of undergraduate mathematics students; conceptions of mathematics. Almost 1,200 students in five countries completed a short survey including three open-ended questions asking about their views of mathematics and its role in their future studies and planned professions. Responses were analysed…

The academic silos that house mathematics, science, and language skills must be broken down to better replicate how those disciplines mix in the real world. This article discusses the benefits of linking writing with mathematics, the challenges of integrating mathematics and writing, and the strategies for mathematics writing. Combining…

This article will share results from research that investigated how sixth-, seventh-, and eighth-grade students who had not been exposed to formal algebraic methods approached word problems of an algebraic nature. Student use of systematic guess and check, the predominate approach taken by these students, is the focus. The goal is to consider the…

This article discusses the algorithm for multiplication that is referred to as lattice multiplication. Evidence of how the author's preservice students' conceptual understanding of the algorithm grew through the semester is given. In addition, the author extends the conceptualization of the algorithm from the multiplication of whole numbers to the…

Manufacturing engineering provides a relevant context from which to envision interdisciplinary learning experiences because engineers integrate their knowledge and skills of manufacturing and algebra processes in order to plan the efficient manufacture of products. In this article, the author describes an interdisciplinary learning activity that…

This article tells the story of one student who chooses her personal interest in pigeons and their lifestyle to demonstrate her understanding of measurement concepts. The student's work is used to consider the possibilities for assessment afforded by tasks designed within reform-based curricula. Anita (pseudonym) was a Grade 6 student who was part…