We illustrate an analytic framework for teachers' mathematics discourse in instruction (MDI). MDI is built on three interacting components of a mathematics lesson: a sequence of examples and related tasks; accompanying talk; patterns of interaction. Together these illuminate what is made available to learn. MDI is grounded empirically in…

This study explores correlations between human ratings of essay quality and component scores based on similar natural language processing indices and weighted through a principal component analysis. The results demonstrate that such component scores show small to large effects with human ratings and thus may be suitable to providing both summative…

We conducted an experimental study with 192 ninth graders in which we investigated a connection between performance and students' interest and enjoyment using task-unspecific and task-specific questionnaires. Students were randomly assigned to experimental group 1 or to experimental group 2. In group 1, they were asked about their affective…

This paper refers to the concept of semiotic and theoretic control describing resources to conduct decisions in epistemic processes. We consider an argumentation process from a complex problem-solving activity involving different conceptual frames related to parabolas. Using a micro-analytical interpretative lens, we will show that, in order to…

Linguistic properties of writing prompts have been shown to influence the writing patterns contained in student essays. The majority of previous research on these prompt-based effects has focused on the lexical and syntactic properties of writing prompts and essays. The current study expands this research by investigating the effects of prompt…

Although the importance of mathematical problem solving is now widely recognised, relatively little attention has been given to the conceptualisation of mathematical processes such as representing, analysing, interpreting and communicating. The construct of Mathematical Knowledge for Teaching (Hill, Ball & Schilling, 2008) is generally…

This study investigated how the scientific competencies advocated by the Programme for International Student Assessment (PISA) could be improved by using online argumentation. An online argumentation system served as an aid for argumentation instruction and activities among students during the experiment. Seventy-one 10th grade high school…

There is a need for a musical ensemble study that can describe the idiosyncratic, authentic movements that choral musicians make in a performance setting. In addition, it could benefit teachers to know whether those who score highest on a measure of expressive performance also tend to be strong performers. If this is the case, then the link…

This paper discusses issues arising in the design of questions to use in an on-line computer-based formative assessment system, focussing on how best to identify the stages of a learning hierarchy for reporting to teachers. Data from several hundred students is used to illustrate how design decisions have been made for a test on interpreting line…

Student self-concept of math ability (SCMA) and math utility value shape course-taking patterns, achievement, and entree into mathematics-intensive college majors (Eccles & Wigfield, 2005). The development of SCMA and math utility value are embedded in social contexts (Marsh et al., 2005). School racial climate is a particularly important…

In this paper we analyze and discuss students' performance in a CAS environment related to the simplification of rational expressions. Results indicate that if students have more initial paper-and-pencil techniques, the CAS environment spurs them to deeper theoretical reflections than for students who have fewer techniques. [For the complete…

This paper describes an exploratory study observing the use of "Minecraft" (a popular sandbox style online video game environment) in a high school English literature classroom. We use Piaget and Inhelder's (1969) constructivist theories about the formal operational stage of development to interpret the concepts of plot and…

In this study, the researcher examined student conceptions of "Whiteness" as it relates to past and present U.S. history. Using Critical Race Theory as the lens, this study employed mixed methods, analyzing teacher observations, classroom artifacts/student work, survey, and interview data from White students and students of color at an…

To understand relationships between students' quantitative reasoning with fractions and their algebraic reasoning, a clinical interview study was conducted with 18 middle and high school students. Six students with each of 3 different multiplicative concepts participated. This paper reports on the 6 students with the most basic multiplicative…

This paper reports findings from the second year of a two-year study designed to develop approaches to teaching algebra in years 9 and 10. The aim of the research was to explore and develop teaching approaches to assist students to acquire a conceptual understanding of algebra, and to document the impact of these approaches on student outcomes.…