This study investigates the relationship between students' problem-solving skills in solving mathematical problems and asynchronous collaboration in digital learning environments. The research focuses on the Digital Math Training (DMT) project, designed by the DELTA research group at the University of Turin, which aims to enhance students' digital…

In the secondary and high school science program implemented in Turkey in 2018, the importance of engineering and design skills is underlined under domain-specific skills. The purpose of this study, in which case study method, one of the qualitative research methods, is used to examine the engineering design skills of high school students within…

This study examines how joint exploration is established and maintained among students and the teacher in secondary mathematics classrooms. We use the theoretical perspective of positioning to conceptualize joint exploration as involving the negotiation and coordination among participants to position students with epistemic agency and authority.…

Far-reaching technological changes are shaping our society and the ways in which we work. A key 21st -century skill for taking advantage of those changes may be computational thinking (CT). CT aims at enabling humans to carry out more effective problem solving by utilizing concepts of computing and computer technology. For a successful integration…

Despite their apparent simplicity, the concepts of square numbers and square roots are problematic for high school students. I inquired into students' understanding of these concepts, focusing on obstacles that students face while attempting to solve square number problems. The study followed a modified analytic induction methodology that included…

In this paper we report the results obtained when implementing Activities related to the visualization of geometric representations in paper-and-pencil and technological environments with students1 grade 11. This is a qualitative research supported by both the representation theory and the visualization of mathematical objects using technological…

This paper reports on a study of choices about the use of a computer algebra system (CAS) or pen-and-paper (p&p) by a class of seven Year 11 Mathematical Methods (CAS) students as they completed a calculus worksheet. Factors that influenced students' choices are highlighted by comparing and contrasting the use of CAS and p&p between…

This paper examines possible improvement to problem solving skills as a function of playing the video game "Portal 2." Stealth assessment is used in the game to evaluate students' problem solving abilities--specifically basic and flexible rule application. The stealth assessment measures will be validated against commonly accepted…

This study is part of a larger research program aimed at studying mental mathematics with objects other than numbers. It concerns operations on functions in a graphical environment with Grade-11 students. Grounded in the enactivist theory of cognition, particularly in problem-posing, the study aims to characterize students' mathematical activity…

To better understand the role that ways of reasoning play in students' success on integer addition and subtraction problems, we examined the relationship between students' flexible use of ways of reasoning and their performance on integers open number sentences. Within groups of students in 3 participant groups--39 2nd and 4th graders who had…

This paper reports an instrumental case study of the strategies employed by Year 11 students engaged in solving a functions population task. The task was implemented as part of a study of students studying functions in a Technology-Rich Teaching and Learning Environment (TRTLE). Student strategies related to the perception and enactment of…

Contributing to research delineating the cognitive processes of writers who are revising their own texts after feedback from members of their intended audience, a study (1) determined whether more able writers would be more responsive to their readers' feedback than would less able writers; and (2) verified results of a previous study indicating a…

The tension between providing opportunities for mathematical understandings and the need to teach widely-used notations and algorithms is explained in terms of a folk pedagogical conflict. Divergent pedagogical practices are shown to follow from different mental and epistemological assumptions and manifest themselves in equally divergent student…

Instruments to measure decision-making skills of grade 5, 8, and 11 students were developed as a part of Pennsylvania's statewide assessment program. A decision-making model was formulated based upon John Dewey's five major steps of the critical thinking process: (1) identify the problem; (2) establish the facts; (3) formulate the hypothesis; (4)…

Metacognition is considered by most educationists to be an element necessary for many cognitive learning tasks. In general, within problem solving tasks, procedural, factual, and conceptual knowledge, by themselves, are insufficient for successful task completion. To be successful, the problem solver must usually demonstrate higher level cognitive…