In this article we explore the theoretical and experimental field of sharing and of partitive and quotitive division problems, as illustrated by recent studies in this field. The purpose was to explain and justify the utility of presenting quotitive division problems, accompanied by graphical representations, to young children. The current study…

We estimate the trend in the transitory variance of male earnings in the United States using the Michigan Panel Study of Income Dynamics from 1970 to 2004. Using an error components model and simpler but only approximate methods, we find that the transitory variance started to increase in the early 1970s, continued to increase through the…

In this paper an analysis is carried out whether objective tests and subjective self-assessments in international large-scale studies yield similar results when looking at cross-national differences in the effects of skills on earnings, and skills patterns across countries, fields of study and gender. The findings indicate that subjective skills…

When reading conflicting science-related texts, readers may attend to cues which allow them to assess plausibility. One such plausibility cue is the use of graphs in the texts, which are regarded as typical of "hard science." The goal of our study was to investigate the effects of the presence of graphs on the perceived plausibility and…

Treatment integrity is the degree to which an intervention is implemented as designed and is critical for concluding whether the intervention is responsible for treatment outcomes. This study aimed to add to the integrity literature by examining graphed performance feedback alone and in conjunction with verbal performance feedback for increasing…

This concurrent embedded mixed methods study investigates the influence of the computer program Tinkerplots™ on 34 preservice elementary teachers' understanding of measures of center and graphical representations of data. Participants' opinions and beliefs about the effectiveness of the program were also explored. At the beginning of the…

An iPad® can be used to teach students to graph parabolas with ease and grasp vocabulary quickly. Parabolas come to life for students in this easily implemented activity described in this article. Teachers can use this tool in a fun and interactive way to not only address these graphing and vocabulary concepts but also introduce and explore…

Visuals and graphics have been used for communicating complex ideas since 1786 when William Playfair first invented the line graph and bar chart. Graphs and charts are useful for interpretation and making sense of data. For instance, John Snow's scatter plot helped pinpoint the source of a cholera outbreak in London in 1854 and also changed…

Approaches consistent with a Response to Intervention (RTI) framework are becoming increasingly prominent. The present study is a preliminary investigation aimed at gaining a greater understanding of educators' knowledge of RTI and application of RTI principles. It serves as the first step toward understanding educators' preparation to implement…

Mobile device accelerometers are a simple and easy way for students to collect accurate and detailed data on an amusement park ride. The resulting data can be graphed to assist in the creation of force diagrams to help students explain their physical sensations while on the ride. This type of activity can help students overcome some of the…

How can the key concept of equivalent expressions be addressed so that students strengthen their representational fluency with symbols, graphs, and numbers? How can research inform the synergistic use of both paper-and-pencil analysis and computer algebra systems (CAS) in a classroom learning environment? These and other related questions have…

Trigonometry is an important section in mathematics that links algebraic, geometric and graphical reasoning. Many secondary school learners are not familiar with these types of reasoning; thus, trigonometry presents a challenge for these learners. The traditional 'chalk and talk' method of teaching trigonometry is used by many teachers; however,…

Increasing pressure is mounting from all areas of society to maximise technology use within educational domains. Whilst curriculum documents call for the utilisation of technology as a teaching tool in the mathematics classroom, the benefits of exploring forms of dynamic mathematical software, such as GeoGebra, are often introduced in the senior…

Improving foundational academic skills for elementary level students continues to be a challenge for classroom teachers. This study implemented weekly progress monitoring procedures using curriculum-based measurement assessments in conjunction with weekly individual student-teacher graphing and goal-setting conferences to determine the effect the…

The least squares method of fitting a line is not one that naturally occurs to students. We present three tasks to understand student views on how lines may be fit.