Students' emotions (e.g., enjoyment, boredom) while doing math and their situational interest in mathematics are important for their learning of mathematics, but examinations of teachers' judgments of students' emotions and interest while solving tasks are rare. Moreover, we do not know much about the predictors of teachers' judgments of students'…

In this paper duality between real world phenomenon and mathematics will be discussed. This duality exists for many years which considerably remarked in the history of mathematics curriculum. One of the good potential for filling the gap between real world phenomenon and mathematical ideas would be modelling tasks which require performing the…

Comparative studies on paper and pencil--and computer-based tests principally focus on statistical analysis of students' performances. In educational assessment, comparing students' performance (in terms of right or wrong results) does not imply a comparison of problem-solving processes followed by students. In this paper, we present a theoretical…

To support teachers in implementing ambitious reform efforts, professional developers and teacher educators need to know more about teachers' thinking about argumentation. Specifically, there is a need to understand more about teachers' views and evaluations of "students'" mathematical arguments as they play out "in practice."…

Background: Base-ten thinking (BTT) -- children's ability to reason in tens and ones is a crucial measure of Foundation Phase learners' mathematical performance in South Africa. Aim: The study looks at the six learners using BTT to solve additive tasks through two different assessments. Setting: Six purposely selected Grade 3 learners in…

Research on pre-task planning to date has mainly focused on task performance. However, the effects of planning are contingent on what learners actually do during planning time. One important factor that may determine the quality and usefulness of planning is whether it is done in the first language (L1) or the second language (L2). This research…

Purpose: This paper aims to compare two types of prompts, encouraging participants to think about real-world examples or engineering principles to show how these two approaches can result in vastly different design practices. Design/methodology/approach: Two studies (N = 20, N = 40) examine the impact of two different prompts. Non-expert students,…

Mathematical knowledge for teaching is a complex web of knowledge domains. In this article, we share findings from an 18-month professional development project that aimed to improve middle school mathematics teachers' mathematical knowledge for teaching (MKT) of proportional reasoning by focusing on the critical analysis of mathematical tasks and…

A mathematical client-driven task known as Model-Eliciting Activities was implemented with students of different levels of achievement (i.e., low, average, and high) at the high-school level. The study strived to prove that Model-Eliciting Activities can be solved by students at any achievement level and be used as an assessment tool. Students…

This study explored an alternative assessment procedure to examine learning trajectories of matrix multiplication. It took rule-based analytical and cognitive task analysis methods specifically to break down operation rules for a given matrix multiplication. Based on the analysis results, a hierarchical Bayesian network, an assessment model,…

Agency refers to the level of control the student has over learning. Most studies on agency in computer-based learning environments have been conducted in the context of educational games and multimedia learning, while there is little research done in the context of learning with Intelligent Tutoring Systems (ITSs). We conducted a study in the…

One of the most complex topics in Geography is linked to cultural landscapes. Although this concept has aroused the interest of scholars from different nations and the bibliography is diverse, among students there are still uncertainties concerning the meaning of cultural landscapes. Thus, at the Faculty of Geography, Babes-Bolyai University, in…

The Teaching Teamwork Project is using an online simulated electronic circuit, running on multiple computers, to assess students' abilities to work together as a team. We pose problems that must be tackled collaboratively, and log students' actions as they attempt to solve them. Team members are isolated from one another and can communicate only…

Future employers increasingly require work-ready graduates. Higher education institutions throughout the world have responded through reforming the curriculum of major strands of study to incorporate graduate attributes. In this case study, we explicitly taught graduate attributes, obliged students to practice their newfound capabilities, gave…

Does solving subtraction problems with negative answers (e.g., 5-14) require different cognitive processes than solving problems with positive answers (e.g., 14-5)? In a dual-task experiment, young adults (N=39) combined subtraction with two working memory tasks, verbal memory and visual-spatial memory. All of the subtraction problems required…