Opportunities to closely monitor and evaluate students' mathematical thinking enables accurate interpretations of their conceptual understanding. This methodological paper reports on a novel and versatile analysis approach to extract student thinking during mathematical games through the generation of Dynamic Learning Artefacts (DLAs).…

Functions are an essential concept in mathematics. The studies that have examined functions in advanced contexts have primarily focused on students' reasoning about specific types of functions (such as binary operations and isomorphisms) but not on the core characteristics of well-definedness and everywhere-definedness. Here, we report on a study…

Background: Cognitive load theory is widely used in educational research and instructional design, which relies heavily on conceptual constructs and measurement instruments of cognitive load. Due to its implicit nature, cognitive load is usually measured by other related instruments, such as commonly-used self-report scales of mental effort or…

This study explores the cognitive and neural mechanisms underlying math avoidance in individuals with high math anxiety (HMA), a pattern contributing to reduced practice and poor performance. Using an approach-avoid conflict paradigm and both general linear mixed model and Hierarchical Drift Diffusion Model (HDDM) regression analyses, we found…

This study aims to investigate the thinking process of primary school students when solving mathematical problems. It used a qualitative case study approach. The researcher administered a metacognitive test to 30 fifth-grade students in Yogyakarta and selected three focal participants based on their performance in planning, monitoring, and…

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…

Productive struggle (PS) has emerged as a critical construct in mathematics education, emphasizing the importance of persistence, cognitive engagement, and conceptual understanding in problem-solving. However, inconsistencies in its conceptual and operational definitions have hindered its effective implementation and assessment. This study…

This study addresses a gap in the empirical research about how students use computational thinking (CT) skills throughout the problem-solving process, which is a crucial skill for STEM learning. I conducted task-based interviews with two pairs of Year 8 students with strong mathematical problem-solving skills and previous experience in solving…

We conduct a critical review to explore how research on mathematics classroom assessment has positioned students (127 studies, 2015-2020). Our analysis shows how research has positioned students as passive recipients of assessment by portraying assessment through discourses of measurement and cognition. Conversely, students are positioned as…

This research memorandum highlights the collaborative efforts of the numeracy panel for the ETS Return on Investment (ROI) Study, Phase 1, comprising David Tout, Kees Hoogland, and Javier Díez-Palomar, in developing their research memorandum, "Improving the Quality of Numeracy Skills: Progressing from Level 2 to Level 4 on the PIAAC Cycle 2…

Mathematics education emphasizes Higher-Order Thinking Skills (HOTS) to enhance students' problem-solving and analytical reasoning. However, students often struggle with HOTS-based mathematical tasks, and the cognitive mechanisms underlying these challenges remain unclear. This experimental study employs electroencephalography (EEG) to investigate…

This study explored 54 preservice elementary teachers' identification and modification of mathematical tasks in raising cognitive demand and examined the features of their modified tasks. The study collected data using a three-phase activity: (a) identifying the level of cognitive demand of the given task, (b) modifying the low cognitive demand…

We investigated the relations between self-reported math anxiety, task difficulty, and pupil dilation in adults and very young children during math tasks of varying difficulty levels. While task difficulty significantly influenced pupillary responses in both groups, the association between self-reported math anxiety and pupil dilation differed…