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,…

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…

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…

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…

This study was conducted to examine peer tutoring models in collaborative learning of mathematical problem solving (MPS) in flipped classrooms and their effect on group achievement. Quantitative data collected include 32 videos of eight groups of students in four MPS periods that were designed based on a simplified version of Polya's four-stage…

The instructional innovation incubator (i3) model is a fully immersive, multi-campus, residential experience designed to address the wicked problem of online teaching and learning. This paper details how we used design thinking to hatch, design, prototype and implement the i3 model, a radical departure from conventional practice in educational…

Theories of grounded and embodied cognition offer a range of accounts of how reasoning and body-based processes are related to each other. To advance theories of grounded and embodied cognition, we explore the "cognitive relevance" of particular body states to associated math concepts. We test competing models of action-cognition…

Theories of grounded and embodied cognition offer a range of accounts of how reasoning and body-based processes are related to each other. To advance theories of grounded and embodied cognition, we explore the "cognitive relevance" of particular body states to associated math concepts. We test competing models of action-cognition…

The growth of reading and cognitive skills is crucial for children's development. This study examined the utility of incorporating a cognitive framework for reading in intervention design among struggling readers receiving National Institute for Learning Development (NILD) Educational Therapy® over a 3- to 5-year period. Evidence from this…

This paper presents a model for mastery learning. The framework for this model overlays the cognitive and knowledge dimensions from Krathwohl's revision of Bloom's Taxonomy, the Revised Taxonomy, with Polanyi's theory of personal knowledge. A simplified framework integrates Polanyi's concepts of subsidiary and focal awareness with the Revised…