This guide for teachers is a companion piece to the meta-analysis from the Center on Instruction, "Mathematics Instruction for Students with Learning Disabilities or Difficulty Learning Mathematics: A Synthesis of the Intervention Research". Based on the findings of this report, seven effective instructional practices were identified for teaching…

Montgomery County Public Schools (MCPS) is more than a school system, it is a community. It's a community of people working together to provide Montgomery County students with an education that prepares them for success today, tomorrow, and in the years to come. That is MCPS' core purpose: to prepare students to thrive in their future. The Annual…

A new national survey shows that better communication between high schools and parents is needed to address the disconnect between parents and students, faculty, and employers in perceptions of recent graduates' readiness for life after high school. Parents see significant room for improvement in the job their child's high school did conveying…

Uniform sampling of binary matrices with fixed margins is known as a difficult problem. Two classes of algorithms to sample from a distribution not too different from the uniform are studied in the literature: importance sampling and Markov chain Monte Carlo (MCMC). Existing MCMC algorithms converge slowly, require a long burn-in period and yield…

The standard approach to finding antiderivatives of trigonometric expressions such as sin(ax) cos(bx) is to make use of certain trigonometric identities. The disadvantage of this technique is that it gives no insight into the problem, but relies on students using a memorized formula. This note considers a technique for finding antiderivatives of…

We present a derivation for the coordinates of the centre of mass--or centre of gravity--of a homogeneous triangular plate by using scaling and symmetry. We scale the triangular plate by a factor of 2 and divide its area into four plates identical to the original. By symmetry, we assert that the centre of mass of two identical masses lies at the…

The impact of fixation in solving math problems and that of gender on divergent thinking has been studied in this paper. The study was made in the academic year of 2006-2007, Fall Semester, at Necatibey Faculty of Education, Balikesir University. 229 first and second-year students at the Dept of Primary Math Teaching have been participated in the…

This paper, the second of a two part article, expands on an idea that appeared in literature in the 1950s to show that by restricting the domain to those complex numbers that map onto real numbers, representations of functions other than the ones in the real plane are obtained. In other words, the well-known curves in the real plane only depict…

In most mathematics textbooks, each set of practice problems is comprised almost entirely of problems corresponding to the immediately previous lesson. By contrast, in a small number of textbooks, the practice problems are systematically shuffled so that each practice set includes a variety of problems drawn from many previous lessons. The…

A method called the Remainder Method is proposed for the calculation of sample quantiles of a given order, for example, quartiles, hexatiles, octatiles, deciles and percentiles assuming that all the observations are distinct. Proof is given for a special case of deciles. The criterion "equisegmentation" is proposed, namely that the number of…

This article presents a rich geometry problem and discusses its solution. A variety of mathematically correct justifications for this answer are provided. (Contains 2 figures.)

The purpose of this article is to present a collection of problems that allow students to investigate magic squares and Latin squares, formulate their own conjectures about these mathematical objects, look for arguments supporting or disproving their conjectures, and finally establish and prove mathematical assertions. Each problem is completed…

This eighteenth annual listing of mathematics education research contains research summaries, articles, and dissertations listed alphabetically by author within each category. For each reference, the grade or age level is indicated. An index is included at the end to help readers locate studies on specified topics. (PK)

In this project, a plan for solving word problems based on the students' level of development was developed. A 10-week implementation of a plan for solving word problems at the concrete level of development included the use of a flow chart or plan to map out and solve word problems. Students then used the flow chart and manipulatives to develop…

In recognition of the fact that young children develop informal number concepts and strategies for solving several basic types of verbal addition and subtraction problems before entering school, but lose this ability after a few years of schooling, the study created and tested an intervention designed to build on the children's early insights. A…