The concept of multiple representations of functions and the ability to make translations among representations are important topics in secondary school mathematics curricula (Moschkovich, Schoenfeld, & Arcavi, 1993; NCTM, 2000). Research related to students in this domain is fruitful, while research related to teachers is underdeveloped. This…

The classification of "Specific Learning Disabilities" has experienced revision in the last decade due, in no small part, to the changes provided in IDEIA 2004. The "discrepancy clause" has been replaced with "…response to scientific, research-based intervention," for example. As a result, two new frameworks have been…

A teaching experiment-using Mathematica to investigate the convergence of sequence of functions visually as a sequence of objects (graphs) converging onto a fixed object (the graph of the limit function)-is here used to analyze how the approach can support the dynamic blending of visual and symbolic representations that has the potential to lead…

An interesting aspect in the current literature about learning networks is the shift of focus from the understanding of the "whole network" of a course to the examination of the "personal networks" of individual students. This line of research is relatively new, based on small-scale studies and diverse analysis techniques,…

Data visualization is the term used to describe the methods and technologies used to allow the exploration and communication of quantitative information graphically. Data visualization is a rapidly growing and evolving discipline, and visualizations are widely used to cover politics. Yet, while popular and scholarly publications widely use…

To succeed within scientific disciplines, using representations, including those based on words, graphs, equations, and diagrams, is important. Research indicates that the use of discipline specific representations (sometimes referred to as expert generated representations), as well as multi-representational use, is critical for problem solving…

Mathematics teachers continually look for ways to make the learning of mathematics more active and engaging. Hands-on activities, in particular, have been demonstrated to improve student engagement and understanding in mathematics classes. Likewise, many scholars have emphasized the growing importance of giving students experience with the…

Recent research has shown that young children are capable of engaging in data modeling and making informed judgments, an aspect of the mathematics curriculum not previously considered integral to early numeracy. In an Australian study, a sample of 21 highly able Grade 1 students was engaged in a series of investigations where they developed their…

Educators, school psychologists, and other professionals must evaluate student progress and decide to continue, modify, or terminate instructional programs to ensure student success. For this purpose, progress-monitoring data are often collected, plotted graphically, and visually analyzed. The current study evaluated the impact of three common…

After a unit on the rules for positive and negative numbers and the order of operations for evaluating algebraic expressions, many students believe that they understand these principles well enough, but they really do not. They clearly need more practice, but not more of the same kind of drill. Wallace-Gomez provides three graphing activities that…

Introduction: During the last couple of years the library community has developed a number of comprehensive metadata standardization projects inspired by the idea of linked data, such as the BIBFRAME model. Linked data is a set of best practice principles of publishing and exposing data on the Web utilizing a graph based data model powered with…

Progress monitoring, one of the essential components of Response to Intervention (RTI), is characterized by repeated measurement of academic performance that is conducted at least monthly. The process may be used to assess students' academic performance over time, to quantify student rates of improvement or responsiveness to instruction, and to…

Problem Statement: The educational technology standards for teachers set by the International Society for Technology in Education (the ISTE Standards-T) represent an important framework for using technology effectively in teaching and learning processes. These standards are widely used by universities, educational institutions, and schools. The…

In online educational systems we can easily collect and analyze extensive data about student learning. Current practice, however, focuses only on some aspects of these data, particularly on correctness of students answers. When a student answers incorrectly, the submitted wrong answer can give us valuable information. We provide an overview of…

During the years 1873-1879, J. Willard Gibbs published his now-famous set of articles that form the basis of the current perspective on chemical thermodynamics. The second article of this series, "A Method of Geometrical Representation of the Thermodynamic Properties of Substances by Means of Surfaces," published in 1873, is particularly notable…