Encouraging students to persevere in problem solving can be accomplished using extended tasks where students solve a problem over an extended time. This article presents a structure for use of extended tasks and examples of student thinking that can emerge through such tasks. Considerations for implementation are provided.

Transactive discussion during collaborative learning is crucial for building on each other's reasoning and developing problem solving strategies. In a tabletop collaborative learning activity, student actions on the interface can drive their thinking and be used to ground discussions, thus affecting their problem-solving performance and learning.…

Drawing on Kucher's (2021) framework on digital game-based learning (DGBL), this paper introduces the development of game-based scenarios in two culturally distinctive and salient heritage sites in Cyprus and Sweden, the Neolithic village of Choirokoitia and the Iron Age Ringfort of Sandby Borg. The aim was to implement Kucher's (2021) five…

Background: The competencies for the 21st century are defined as a broad and interrelated system of knowledge, skills, values and attitudes enabling the full application of man in personal and professional life. Regarding the science education competencies combining science and scientific knowledge, as well as skills such as inquiry, critical…

This study aimed to examine the relationship between mathematical modelling and reflective thinking and to examine the effects of employing mathematical modelling processes on perception of mathematical modelling competencies and reflective thinking skills for real-life problem solving of gifted students participating in Project Production and…

This manuscript proposes the use of the "I notice, I wonder" routine in college mathematics classrooms to address issues of diversity, equity, and inclusion. Examples are given of prompts that incorporate meaningful conversations about real-world issues affecting our students or about issues of inclusion, access, and representation in…

This study explores high school students' and their mathematics teachers' mathematical discourses on the equal sign and variables in the classroom context. The participants in this case study were ninth graders and their mathematics teachers. The data were analyzed in terms of participants' routines, specifically ritual and explorative routines in…

In this paper we consider how the integration of mobile technology apps into classroom practice can form an alternative pedagogical medium that influences the learning process in mathematics. We give an account of one aspect of a research project that examined the use of tablets and apps in primary school mathematics programmes and report teacher…

This study looks at whether creativity and critical thinking help students solve problems and improve their grades by mediating the link between 21st century skills (learning motivation, cooperativity, and interaction with peers, engagement with peers, and a smart classroom environment). The mediating relationship between creativity and critical…

The flipped classroom approach is increasingly popular. The effectiveness of the flipped classroom is promising, yet there is little consensus on whether and how varying the number of flipped lessons influences the overall course effectiveness and the affective perceptions of flipped learning. This is important because of the potential impacts on…

The ESCAPE curriculum model was developed to enhance emotional awareness and behavioral support for students with autism spectrum disorder (ASD) to help with stressful events and escape from emotional distress. The instructional phases represent an emotion regulatory process: starting with emotional and behavioral awareness, followed by…

Collaboration is the key element of maker movement. Online maker community is a new environment for makers to collaborate with one another voluntarily. This article selected one of the largest open online maker communities in China as the research sample. A total of 1292 postings selected from 19 threads were coded using Schaefer et al.'s (2019,…

The purpose of this study was to investigate the influence of cognitive training (CT) using mobile applications on attentional control and impulsivity among pre-service teachers. Pre-service teachers were divided into two groups: experimental (n=25) and control (n=14) groups, they were selected from a large sample (n=718). Over 28 sessions, the…

Pattern recognition is an important skill in computational thinking. In this study, an equation puzzle game was developed by combining pattern recognition with algebraic reasoning, and scaffolding was designed to support learners' learning. Sixty participants were enrolled in this study, divided into a control group and an experimental group to…

Internationally, mathematics education reform has been directed toward characterizing educational goals that go beyond topic/content/skill descriptions and develop students' problem solving. The Revised Bloom's Taxonomy and MATH (Mathematical Assessment Task Hierarchy) Taxonomy characterize such goals. University entrance examinations have been…