Reversibility thinking carried out mentally in mathematical operations has an important role in the process of understanding concepts as it involves developing a thinking process from beginning to end and from end to beginning. This qualitative research aims to describe students' reversible thinking processes in solving algebra problems,…

Mathematics is a collection of cognitive products that have unique characteristics from other scientific disciplines. As cognitive products, mathematics, and thought processes are two things that cannot be separated. Although in the literature there have been many approaches proposed to support the analysis of students' thinking processes, not…

This research aims to determine the thinking activity types dominated by a mental process in producing answers characterized by automatic, unconscious, and subjective-empirical processes (system 1) in solving problems so that the default-interventionist interaction occurs. This research novelty is the formulation of the contents and thinking…

Open mathematical modelling problems that can be solved with multiple methods and have multiple possible results are an important part of school curricula in mathematics and science. Solving open modelling problems in school should prepare students to apply their mathematical knowledge in their current and future lives. One characteristic of these…

This study explores students' use of mathematical objects in each problem-solving phase based on an onto-semiotic perspective. The subjects of this research are students who solve problems in different ways but all with the correct result. The first student uses organizational data by applying the concept of permutations. In contrast, the second…

Research in social psychology and education proposes that adopting a growth mindset of intelligence is an important mediator for the well-being and performance of students at school. As a consequence, wise interventions have been developed to target student mindsets and change their beliefs about how much their intelligence can grow with training…

The purpose of the study was to write individual narrative stories about the subjective experiences of six students who entered college and had to take at least one remedial course their first semester. A subjective experience refers to the emotional and cognitive impact of the personal account of an experience (Subjective Experience, n.d.). The…

This study evaluated the effect of using AR technology to develop environmental literacy (RQ1), motivation (RQ2), and perceived cognitive load (RQ3) among high school students. The sample of participants in this study included 155 10th -grade students in general education. They took a semester-long Natural Resource Ecology course. The participants…

This study investigates how 11- to 12-year-old students construct data-based decision trees using data cards for classification purposes. We examine the students' heuristics and reasoning during this process. The research is based on an eight-week teaching unit during which students labeled data, built decision trees, and assessed them using test…

Researchers from multiple disciplines have found that fractions and algebra knowledge are linked. One major strand of research has identified children's "units coordination" structures as crucial for success with fractions and algebra via multiplicative reasoning, whereas a second strand of research points to "magnitude…

Researchers from multiple disciplines have found that fractions and algebra knowledge are linked. One major strand of research has identified children's "units coordination" structures as crucial for success with fractions and algebra via multiplicative reasoning, whereas a second strand of research points to "magnitude…

As artificial intelligence (AI) technologies are increasingly pervasive in our daily lives, the need for students to understand the working mechanisms of AI technologies has become more urgent. Data modeling is an activity that has been proposed to engage students in reasoning about the working mechanism of AI technologies. While Computational…

Cognitively demanding tasks have been shown to support students' understanding of mathematics. How a task is launched, or introduced, determines how students engage with the task, as well as the type of work the teacher engages in during the task implementation. The authors designed a unit focused on launching a task where prospective teachers…

Creativity often requires envisioning novel connections and combinations among elements in space, e.g., to invent a new product or generate a work of art. A relationship between spatial cognition and creativity has been demonstrated at both the behavioral and neural levels, but the exact neurocognitive mechanisms that bridge this connection remain…

This study focuses on examining senior high-school students' conceptual understanding and difficulties concerning electrochemistry and comparing patterns of thinking across Turkish and Indonesian contexts. The Electrochemistry Concept Questionnaire (ECQ) was applied to 516 Indonesian and 516 Turkish high school students right after the teaching of…