A few problems to dispel the notion that mathematics today admits no unsolved problem are presented. The vast area of the unknown and challenges that befit a twenty-first-century attack are discussed.

Using the methods of finite difference equations the discrete analogue of the parabolic and catenary cable are analysed. The fibonacci numbers and the golden ratio arise in the treatment of the catenary.

The calculation of the upper and lower quartile values of a data set in an elementary statistics course is done in at least a dozen different ways, depending on the text or computer/calculator package being used (such as SAS, JMP, MINITAB, "Excel," and the TI-83 Plus). In this paper, we examine the various methods and offer a suggestion for a new…

The paper considers a class of real integrals performed by using a convenient integral in the complex plane. A complex integral containing a multi-valued function with two branch points is transformed into another integral containing a pole and a unique branch point. As a by-product we obtain a new class of integrals which can be calculated in a…

This paper deals with a simple method of evaluation of certain multiple definite integrals. This is followed by two main theorems concerning multiple definite integrals. Some examples of applications are given.

This article shares investigation possibilities that lie within familiar concepts of greatest common factor and least common multiple.

The report shares what everyone has learned from the 2010-2011 Maryland Model for School Readiness (MMSR) data about the school readiness of Maryland's children: statewide, by subgroups, and for each of Maryland's 24 local jurisdictions. Some of the highlights are: (1) The percentage of Maryland kindergarteners fully ready to start school…

The purposes of this study were to investigate preservice mathematics teachers' orientations, content knowledge, and pedagogical content knowledge of probability; the relationships among these three aspects; and the usefulness of tasks with respect to examining these aspects of knowledge. The design of the study was a multi-case study of five…

In an attempt to better support the mathematics and science learning experiences of preservice teacher candidates, a new course of study was created as part of a teacher certification program at a mid-Atlantic liberal art university. Entitled Investigations in Science and Mathematics, the two semester course adopted an integrated inquiry and…

This report presents results of the 2009 National Assessment of Educational Progress (NAEP) in mathematics at grades 4 and 8. The results from the 2009 assessment presented in this report are compared to those from previous years, showing how students' performance in mathematics has progressed over time. Results for students in the nation, the 50…

A schema-based instruction allows students to approach a mathematics problem by focusing on the underlying semantic or problem structure, thus facilitating conceptual understanding and adequate skills. The purpose of this study was to examine the effectiveness of schema-based intervention on the mathematical word problem solving skills of middle…

This study is an evaluation on whether middle-level mathematics teachers' participation in a week-long in-service course on middle-level mathematics concepts increases their understanding of this content. A secondary purpose of this study is an exploration of teacher perceptions before and after the institute via self-report surveys. Participants…

The purpose of this study was to determine the efficiency of 4MAT method of instruction in which learning style and cerebral hemispheres are taken into account in teaching the binary operation and its properties in mathematics. The sample of this study comprised 58 ninth grade students in two separate classes in a high school. One of the classes…

This final article focuses in particular on the engagement of year 8 students who were taught trigonometry using dynamic geometry software ("Geometer's SketchPad"), as outlined in "MT214" and with resources from the ATM website. The project was implemented in three different classrooms in two different, multiracial,…

An inexpensive device to assist in teaching the main ideas of Public Key encryption and its use in class to illustrate the operation of public key encryption is described. It illustrates that there are two keys, and is particularly useful for illustrating that privacy is achieved by using the public key. Initial data from in class use seem to…