This paper attempts to quantify the accuracy limit of "nextitem-correct" prediction by using numerical optimization to estimate the student's probability of getting each question correct given a complete sequence of item responses. This optimization is performed without an explicit parameterized model of student behavior, but with the…

The teacher-researcher spent eight weeks as a participant observer in and advanced high school mathematics class in a small town in the southeast. The process of problem-solving was introduced to all twenty students from a combined IB Math SL and AP Calculus AB class. After the pretest, three students were selected, from under-represented groups,…

This paper will focus on two students who depended on diagrammatic representations in both a Fraction Screening Test and in a subsequent Structured Interview. One student attempted to use diagrams, with limited success, to identify the correct relationships, and consequently struggled to generalise her strategies as she responded to the questions…

Measuring computational fluency, an aspect of procedural fluency, is complex. Many attempts to measure this construct have emphasised accuracy and efficiency at the expense of flexibility and appropriate strategy choice. Efforts to account for these latter constructs through assessing children's computational reasoning using structured interviews…

Perseverance, or initiating and sustaining productive struggle in the face of obstacles, promotes making sense of mathematics. Yet, engaging in struggle can be grueling and is avoided for some students. I investigate the effect of scaffolding mathematics tasks on student perseverance. The results show how prompting secondary students to…

The use of animated concept mapping (ACM) has been linked to an innovative learning skill when conducting students' guidance of 4 corresponding reasoning processes in electrochemistry. This research aims to establish a new perspective with ACM cognitive reasoning to broaden students' individual developments of problem-solving skills. It is…

"Proceedings of International Conference on Education in Mathematics, Science and Technology" includes full papers presented at the International Conference on Education in Mathematics, Science and Technology (ICEMST) which took place on April 27-30, 2024, in Antalya, Turkey. The aim of the conference is to offer opportunities to share…

This account explores the role of action learning during and after an educational programme. We focus on the final stage of a master's programme and the insider research that is a key feature in many UK universities. Researching within one's own organization should lead to individual and organizational learning. However, there is relatively little…

This paper uses a series of models to illustrate one of the fundamental processes of model building--that of enrichment and elaboration. The paper describes how a problem context is given which allows a series of models to be developed from a simple initial model using a queuing theory framework. The process encourages students to think about the…

As the new generation of designers face more complex design issues, the forms of design research start to shift towards a user-centred approach to problem-solving. The cooperation and communication among various fields and specialisations are becoming more complex; in many practical design cases, in particular, technology developers face…

Four experiments investigated whether the testing effect also applies to the acquisition of problem-solving skills from worked examples. Experiment 1 (n?=?120) showed no beneficial effects of testing consisting of "isomorphic" problem solving or "example recall" on final test performance, which consisted of isomorphic problem…

Background: Erroneous answers in multiple-answer problems not only make the correct answer harder to determine but also indicate why the correct choice is suitable and the erroneous one a mistake when compared to the correct answer. However, it is insufficient to simply create erroneous answers for this purpose: explanations of these answers are…

In this paper we offer a review of sorts of the studies conducted around issues of problem posing in mathematics education research. We first ground the work on problem posing in the seminal work of Polya and of Brown and Walter, which influenced most studies on this subject. We then propose two perspectives taken on problem posing: the implicit…

Frequent leadership changes have the potential to disrupt the continuity of education for students in the school district. As these high level administrators move to other positions or retire, with them goes a wealth of understanding and expertise, hence, the need for increased emphasis placed on the most appropriate choice of an interim…

Women and girls, particularly women and girls of color, remain underrepresented in STEM disciplines. This underrepresentation begins as early as late elementary school age. Educators, particularly those in informal STEM education, can help address gender inequity in STEM by understanding how research can be translated into actionable strategies.…