Using a mixed methods approach, we explore a relationship between students' graph reasoning and graph selection via a fully online assessment. Our population includes 673 students enrolled in college algebra, an introductory undergraduate mathematics course, across four U.S. postsecondary institutions. The assessment is accessible on computers,…

Mathematical modelling is endorsed as both a means and an end to learning mathematics. Despite its utility and inclusion as a curricular objective, one of many questions remaining about learners' modelling regards how modelers choose relevant situational attributes and express mathematical relationships in terms of them. Research on quantitative…

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…

The goal of this paper is to share an analytic framework for understanding Students? Ways of Thinking (SWoT) in STEM-rich learning environments. Before revealing our refined coding framework, we detail the nature of our collaborations and the various analytic decisions that led to its formation. These collaborations supported our collective…

This paper presents a theoretical exploration of the relationship between imagination, cognition and metacognition, conceptualised within "emergent models." These models are offered to enable dialogue and tools to understand and support imagination in education practice, through the presence of ever-transforming theory, conceived as…

Over 10 years of the new college entrance examination reform, the flexible subject selection model has posed challenges to Science, Technology, Engineering, and Math (STEM) majors education in Chinese universities. The relaxation of subject requirements has led to diverse knowledge backgrounds among students, resulting in some lacking a solid…

Mathematical modeling and applications are an important part of curriculum and considered to be important for students' current and future lives. In this contribution, we focus on mathematical modeling from a cognitive prospective. Following embedding the cognitive perspective within the discourse of mathematical modeling, we describe some of the…

When learning chemistry, students must learn to extract chemical information from mathematical expressions. However, chemistry students' exposure to mathematics often comes primarily from pure mathematics courses, which can lead to knowledge fragmentation and potentially hinder their ability to use mathematics in chemistry. This study examines how…

Explaining natural phenomena by determining causal relationships is conducive to understanding scientific concepts. In science education, numerous studies examine students' causal reasoning. Given the importance of core ideas for students' understanding of how and why a phenomenon occurs, the study focused on the relationship between students'…

In this industrial revolution era, university-level education emphasises higher-order thinking skills. This research aims to analyse the effect of implementing the PjB-HOTS learning model on cognitive learning, creative thinking skills, analytical thinking skills, and metacognitive skills of the students studying osmoregulation concepts in Animal…

This research investigated the effect of modeling activities on grade 5 students' informal reasoning about a real-life issue. An instrumental case study was conducted with 17 students (7 female and 10 male) at a public middle school in Turkey. Data were collected through semistructured interviews and student worksheets. The students' informal…

This study aimed to investigate secondary mathematics teachers' noticing of students' mathematical thinking in the context of a professional development (PD) program utilizing modeling-based teacher investigations. The PD program was conducted with two groups of mathematics teachers from two public high schools. It included seven 1-month-long…

This article proposes an interconnected framework, "Ways of thinking in STEM-based Problem Solving," which addresses cognitive processes that facilitate learning, problem solving, and interdisciplinary concept development. The framework comprises critical thinking, incorporating critical mathematical modelling and philosophical inquiry,…

Structural reasoning is a combined ability to "look for structures, recognize structures, probe into structures, act upon structures, reason in terms of general structures, and see how a piece of knowledge acquired resolves a perturbation experienced" (Harel and Soto, 2017). The purpose of this study was to explore the cognitive…

This study was conducted to: 1) ascertain the validity, reliability, and feasibility of a module based on the socioscientific issue approach and design thinking model (SIA-DT), and 2) assess its effects on the entrepreneurial creative thinking (ECT) in STEM education. The first phase of ECT module validation was conducted with the assistance of…