In this special issue, we explore the decision-making aspect of "data-based decision-making". The articles in the issue address a wide range of research questions, designs, methods, and analyses, but all focus on data-based decision-making for students with learning difficulties. In this first article, we introduce the topic of…

The term measurement disturbance has been used to describe systematic conditions that affect a measurement process, resulting in a compromised interpretation of person or item estimates. Measurement disturbances have been discussed in relation to systematic response patterns associated with items and persons, such as start-up, plodding, boredom,…

Histograms, box plots and cumulative distribution graphs are popular graphic representations for statistical distributions. The main research question that this study focuses on is how college students deal with interpretation of these statistical graphs when translating graphical representations into analytical concepts in descriptive statistics.…

The sample mean is sometimes depicted as a fulcrum placed under the Dot plot. We provide an alternative geometric visualization of the sample mean using the empirical cumulative distribution function or the cumulative histogram data.

In this paper, we investigate mathematics majors' perceptions of the admissibility of inferences based on graphical reasoning for calculus proofs. The main findings from our study is that the majority of mathematics majors did not think that graphical perceptual inferences (i.e., inferences based on the appearance of the graph) were permissible in…

In order to use dialogue systems for computer assisted second-language learning systems, one of the difficult issues in such systems is how to construct large-scale dialogue knowledge that matches the dialogue modelling of a dialogue system. This paper describes how we have accomplished the short-term construction of large-scale and…

Data and graphic analysis and interpretation are important parts of science process skills and science curriculum. So it refers to visual display of data using relevant graphical representations. One of the tools used in science courses is graphics for explain the relationship among each of the concepts and therefore it is important to know data…

To teach adaptively, teachers should be able to take the students' level of knowledge into account. Therefore, a key component of pedagogical content knowledge (PCK) is the ability to assume the students' perspectives. However, due to the so-called expert blind spot, teachers tend to misestimate their students' knowledge, such as when estimating…

Due to the increased role of statistics in current curriculum standards, there is at present a call for attention to secondary teachers' knowledge for teaching statistics in teacher education. This article reports the results of a study that answered this call by addressing mathematics teachers' knowledge for teaching graphing of bivariate…

The study investigated learners' mathematical discourse on the hyperbola from a commognitive perspective, and focused on algebraic, graphic, and numeric representations of the hyperbola. Task-based interviews were conducted with five Grade 10 learners from a township school. Learners' mathematical discourse was analysed by means of the Discourse…

This paper investigates the effects of two instructional strategies on accounting students' performance and the gender differences within the strategies. In an experiment, undergraduate students at an Australian university were randomly assigned to either the self-managed or split-attention condition. Participants were required to self-manage…

The idea of variation is a foundation of statistical reasoning, and many curriculum documents, including the "Australian Curriculum", include variation in the learning required for the primary years. In this paper, we consider the design of activities that can exemplify the idea of variation for young students and investigate how…

The graph understanding for mastering the natural science concepts through the process skills approach aims to improve student ability in lower secondary school. In this study, we conducted a series of quasi-experiments for participants by using pre-test and post-test. The research instruments consisted of two tests and the questionnaires. After…

One of the key abilities that every student should learn is mastering math skills. It is particularly difficult for blind students who have problems with access to information that is usually presented graphically for common pupils. One of such information in the case of mathematics is the presentation of graphs of functions and geometric shapes.…

This study aimed to plan and implement a lesson that focuses on the role of gases that are effective in global warming and to increase the middle school students' awareness about global warming. The case study method was used. First, a Science, Technology, Engineering, Mathematics (STEM) lesson that focused on the increased use of fossil-based…