This study examines a wide range of numerical representations (i.e., quantity, knowledge of multiplication facts, and use of parity information) in adult deaf signers. We introduce a modified version of the number bisection task, with sequential stimulus presentation, which allows for a systematic examination of mathematical skills in deaf…

This article reports results from a study focused on teachers' knowledge of students' understanding of core algebraic concepts. In particular, the study examined middle school mathematics teachers' knowledge of students' understanding of the equal sign and variable, and students' success applying their understanding of these concepts. Interview…

There is evidence that spontaneous learning leads to relational understanding and high positive affect. To study spontaneous abstracting, a model was constructed by combining the RBC model of abstraction with Krutetskii's mental activities. Using video-stimulated interviews, the model was then used to analyze the behavior of two Year 8 students…

Both virtual and physical manipulatives are reported as effective learning tools when used with different groups of students in a variety of contexts to learn mathematical content. The use of multiple representations and the flexibility to translate among those representational forms facilitates students' learning and has the potential to deepen…

Confidence intervals are beginning to play an increasing role in the reporting of research findings within the social and behavioral sciences and, consequently, are becoming more prevalent in beginning classes in statistics and research methods. Confidence intervals are an attractive means of conveying experimental results, as they contain a…

The purpose of this study was to evaluate the instructional effects of using animations, static figures, PowerPoint bulletins, and e-plus software as chemistry texts with the aid of computer-based technology. This study analyzed the characteristics of students involved in three multimedia courses and their achievement and attitude toward chemistry…

A one year project was started in the school year 2003/04 to test the use of symbolic calculators (SC)--the TIVoyage 200--in six 10th grade classes of three grammar schools in Bavaria (Germany). The project was repeated in school year 2004/05. The evaluation of the project was intended to give answers to the following questions: how basic…

Many children do not like learning mathematics. They do not find mathematics fun, motivating, and engaging, and they think it is difficult to learn. Computer-based games have the potential and possibility of addressing this problem. This paper proposes a strategy for designing game-based learning environments that takes advantage of the…

Constructing model hot air balloons is an activity that captures the imaginations of students, enabling teachers to present required content to minds that are open to receive it. Additionally, there are few activities that lend themselves to integrating so much content across subject areas. In this article, the authors describe how they have…

The ultimate goal of high school mathematics teachers is to create a meaningful learning environment that is conducive to teaching students the necessary concepts for academic achievement. Unfortunately, evidence suggests that many secondary educators still teach in a rote lecture style that focuses on the teacher providing information to passive,…

This teacher's guide features step-by-step instructions for activities that use easily-obtained and inexpensive materials as well as background information, literature connections, and assessment ideas. The unit allows students the opportunity to focus on observing and describing the properties and attributes of substances. In these activities,…

This book was developed to answer those questions and concerns most often on the minds of students during a mathematics class. It offers them insight from an instructor's viewpoint on how to increase their probability of success in a mathematics course. It is intended to approach the learning of mathematics through both motivating students and…

Pattern manifests itself in many ways through properties such as symmetry, repetition, translation, and illusion. This guide, appropriate for use with grades 6-12, presents patterns that are formed entirely by straight lines, yet appear to contain or be formed by curves. Exploring these geometrical shapes offers an opportunity to discover various…

This document is a collection of eight games from four continents. Students use mathematics that is directly relevant to them as they take part in the games. The first five games (NIM, Kalah, Tower of Hanoi, Shongo Networks, and Magic Squares) feature presentation instructions that describe multiple-session classroom activities for grades 5-8.…

Three mathematics scoring methods are being used or explored in large scale assessment programs: (1) item-by-item scoring; (2) holistic scoring; and (3) "trait" scoring. This study investigated all three methods of scoring on three mathematics performance-based assessments. Mathematics assessment tasks were selected from a pool of pilot tasks…