The study was conducted within a summer institute program that trained 15 mathematics teachers from two high need school districts in facilitating students’ understanding of mathematical modeling using musical rhythms. Qualitative and quantitative data was collected and triangulated using different sources. This study showed that when teachers are engaged in interdisciplinary experiences situat...

Surface wrinkling of a channelized flow BY A. C. SLIM, N. J. BALMFORTH, R. V. CRASTER* AND J. C. MILLER Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, BC, Canada V6T 1Z2 Department of Earth and Ocean Sciences, University of British Columbia, 6339 Stores Road, Vancouver, BC, Canada V6T 1Z4 Department of Mathematics, Imperial College London, South Ken...

A framework for a problem-driven mathematics curriculum is proposed, grounded in the assumption that students learn mathematics while engaged in complex problem-solving activity. The framework is envisioned as a dynamic technologicallydriven multi-dimensional representation that can highlight the nature of the curriculum (e.g., revealing the relationship among modeling, conceptual, and procedur...

This paper presents the Knowledge Manifold educational architecture and a number of tools (developed by the KMR group), which enable the construction of interactive mathematics learning environments that support a learner-centric, interest-oriented form of “knowledge pull”. They include the Virtual Mathematics Laboratorium, constructed with the Conzilla concept browser, the MathemagicTM portfol...

Elementary and middle school students who are blind or visually impaired (VI) lag up to three years behind non-disabled peers in mathematics achievement. We investigated the impact of academic supports in the school on mathematics achievement, controlling grade, gender, cognitive disability, and family SES. Data were from SEELS (Special Education Elementary Longitudinal Study) that followed a n...

Direct and indirect effects of socioeconomic status (SES) and previous mathematics achievement on high school advanced mathematics course taking were explored. Structural equation modeling was carried out on data from the National Educational Longitudinal Study: 1988 database. The two variables were placed in a model together with the mediating variables of parental involvement, educational asp...

The Applied Mathematics Laboratory is a research laboratory within the Mathematics Department of the Courant Institute. It was established to carry out physical experiments, modeling, and associated numerical studies in a variety of problems of interest to Courant faculty, postdocs, and graduate and undergraduate students. Most of the research to date has involved fluid mechanics, and we focus ...

The mathematics of time scales has recently received much attention and holds great promise in a number of areas. In this paper we propose a new area of mathematics, namely the theory of stochastic dynamic equations, which unifies the theories of stochastic differential and difference equations. We give an example involving stochastic dynamic equations, namely an equation modeling a stock price...

In recent years, mathematics is an essential aspect of all areas of daily life and the best predictor of being successful in economic situations of society. For many students, the mathematics accompanied with frustration, anxiety and negative attitudes towards mathematics. These students believe their anxiety have been derived from their math teachers, math misconception and weakness in math as...