Using dynamic graphs, future secondary mathematics teachers were able to represent and communicate their understanding of a brief mathematical investigation in a way that a symbolic proof of the problem could not. Four different student work samples are discussed. (Contains 6 figures.)

This document presents the proceedings of the 18th Annual Research Forum held June 26, 2013, at Wake Forest University in Winston-Salem, North Carolina. Included are the following 13 action research papers: (1) Developing Oral Language Ability in the Secondary Spanish Classroom Using the Interpersonal and Presentational Modes of Communication…

During a two-week summer professional development workshop, teams of intermediate-level school teachers and college methods instructors crafted mathematics learning modules--activities, lesson plans, work sheets, and technology-oriented tasks--with the primary goal of strengthening students' understanding of various geometric concepts. They recast…

Excel, Microsoft's spreadsheet program, offers several tools which have proven useful in solving some optimization problems that arise in operations research. We will look at two such tools, the Excel modules called Solver and Goal Seek--this after deriving an equation, called the "cash accumulation equation", to be used in conjunction with them.

The use of Computer Algebra Systems (CAS) in years 9 and 10 classrooms as a tool to support learning or in preparation for senior secondary mathematics is controversial. This paper presents an analysis of the positive and negative aspects of using CAS identified in the literature related to these year levels, along with the perceptions of 12…

Following the publication of the results of a survey of classroom teachers conducted by Hyde (2004) 5 years ago, a similar, smaller scale study has been carried out by the author and a study group. The aims of the study are two-fold, firstly to assess what a small group of teachers of mathematics in the UK now consider to be the contribution of…

We explore how curvature and torsion determine the shape of a curve via the Frenet-Serret formulas. The connection is made explicit using the existence of solutions to ordinary differential equations. We use a paperclip as a concrete, visual example and generate its graph in 3-space using a CAS. We also show how certain physical deformations to…

In this article, the author suggests a framework for developing lesson ideas involving variation. This idea was demonstrated by Rebecca Davey at a conference bringing together teachers from the seven schools participating in the TI-"n"spire pilot research project overseen by Alison Clark-Wilson of the University of Chichester. It uses information…

As a newcomer to the Department of Natural Sciences at University of Maryland-Eastern Shore (UMES) in fall 2007, assistant biochemistry professor Jennifer L. Hearne concluded from teaching "Principles of Chemistry I" that the introductory general education course needed a makeover. In addition to alleviating teaching inefficiencies,…

This article presents an overview of some issues that were confronted when delivering an online second Linear Algebra course (assuming a previous Introductory Linear Algebra course) to graduate students enrolled in a Secondary Mathematics Education program. The focus is on performance in one particular aspect of the course: "change of basis" and…

Technology has profoundly changed the way we learn and live. Indeed, such relationship appears to be quite complex, within IT contexts, and especially in socially and technologically rich learning environments, where related skills and learning are progressively required and fostered. Thus, if a satisfactory level of intellectual performance and…

'This action research study was conducted on a fourth grade rural classroom in Orange County, N.Y. for the purpose of determining if the use of the VoiceThread program will affect student performance in mathematics writing. A baseline of student performance on this measure was administered in the fall of 2010 using the NYS Holistic rubric of a 3…

For developmental education students, rates of developmental math course completion and persistence into required college-level math courses are particularly low. This literature review examines the evidence base on one potential means for improving the course completion and learning outcomes of developmental mathematics students: reforming…

The twofold purpose of this study was to trace prospective and practicing mathematics teachers' understandings of content area reading instruction in relation to domain knowledge in mathematics, and to examine the extent to which online pedagogical mentoring supported the integration of such instruction and knowledge. The design called for two…

Solving true problems requires persistence. The National Council of Teachers of Mathematics (NCTM) states that "problem solving means engaging in a task for which the solution method is not known in advance. In order to find a solution, students must draw on their knowledge, and through this process they will often develop new mathematical…