Students are often told to use representations to solve mathematics problems, yet it may be a hindrance for many. This article contains an approach, the Graphic Representational Analysis Process, that teachers can use to analyze representations and focus future instruction. (Contains 7 figures.)

This study investigated middle school students' conceptual understanding of algebraic equations. Participants in the study--257 sixth- and seventh-grade students--were asked to solve one set of algebraic equations and to generate story problems corresponding with another set of equations. Structural aspects of the equations, including the number…

This study was an expanded replication of an earlier endeavor (Shermis, Burstein, & Bliss, 2004) to document the writing outcomes associated with automated essay scoring. The focus of the current study was on determining whether exposure to multiple writing prompts facilitated writing production variables (Essay Score, Essay Length, and Number…

Writing is a multifaceted, complex task that involves interaction between physical and cognitive skills. Individuals with physical disabilities vary in terms of both their physical and cognitive abilities. Often they must overcome one or more significant barriers in order to engage in the task of writing. Minimizing or eliminating barriers is…

This proceedings volume of InCoTEPD 2018 covers many ideas for handling a wide variety of challenging issues in the field of education. The outstanding ideas dealing with these issues result in innovation of the system. There are many innovation strategies resulting from recent research that are discussed in this book. These strategies will become…

Research studies have shown that students encounter difficulties in transitioning from arithmetic to algebra. Errors made by high school students were analyzed for patterns and their causes. The origins of errors were: intuitive assumptions, failure to understand the syntax of algebra, analogies with other familiar symbol systems such as the…

Previous research (e.g., Woodward & Baxter, 1997) found that Standards-based mathematics teaching provides marginal or no benefits for low achievers, in contrast with positive effects for middle and high ability students. A randomized quasi-experiment in 52 Canadian schools found that low achieving grade 7 and 8 students who received support…

This article describes activities that promote students' understanding of equation solving through analyzing and correcting student work. (Contains 5 figures.)

Pupils' mistakes, if suitably analysed, may give useful suggestions for improving the teaching/learning process of mathematics. We present here the main issues of an investigation on a population of 732 Italian pupils (9--12 years old), addressed to determine the typology of errors in performing written subtraction. We compared our results with…

We tested the effects of writer immersion and the responses emitted by a peer reader across four male middle school participants diagnosed with behavioral disorders. The participants were chosen for this study due to their high structural errors and inability to write functionally in order to affect the behavior of a reader. Writer immersion and…

Results from the National Assessment of Educational Progress (NAEP) and other large scale tests are often reported as rank ordered lists showing mean values for each of the 50 states. Using data from the 2003 State NAEP Assessment, this paper examines the standard errors associated with State NAEP scores and explains why the use of rank order…

This study extends the findings of Gaustad, Kelly, Payne, and Lylak (2002), which showed that deaf college students and hearing middle school students appeared to have approximately the same morphological knowledge and word segmentation skills. Because the average grade level reading abilities for the two groups of students were also similar,…

The 12th iteration of the International Conference on Educational Data Mining (EDM 2019) is organized under the auspices of the International Educational Data Mining Society in Montreal, Canada. The theme of this year's conference is EDM in Open-Ended Domains. As EDM has matured it has increasingly been applied to open-ended and ill-defined tasks…

This paper describes a classroom teaching experiment conducted in three fifth-grade mathematics classrooms with students of different achievement levels. Virtual fraction manipulative concept tutorials were used in three one-hour class sessions to investigate the learning characteristics afforded by these technology tools. The virtual fraction…

Information processing researchers have assumed that algebra symbol skills depend on mastery of the abstract rules presented in the curriculum (Matz, 1980; Sleeman, 1986). Thus, students' ubiquitous algebra errors have been taken as indicating the need to embed algebra in rich contextual settings (Kaput, 1995; National Council of Teachers of…