This study examines the solutions of 34 kindergarten children as they create equal groups from n bottle caps, where n was equal to 8, 9, 22, and 23. For each n, children were asked to find as many different solutions as possible. The number of solutions they found, i.e., children's fluency, as well as the strategies used to create equal groups,…

Contribution: This article proposes a task-driven ADDIE-Twist design model with a double-helix structure, which introduces intelligent teaching tools and lightweight collaboration platforms to design a knowledge-sharing and group collaboration model with two layers of teaching task driven and learning task driven, providing inspiration for the…

Previous studies have emphasised that play can promote children's learning of mathematics. However, little research has been directed towards understanding how collective imaginary play motivates children's mathematical learning. Informed by the cultural-historical conception of play and motives, this paper examines how Conceptual PlayWorld (CPW)…

Spatial thinking permeates much of our lives and is an asset when solving problems involving well-structured visual information or imagining solutions in physical or digital space. However, an estimated three million US school children have spatial talents that go unrecognized because of the tools commonly used for identification of academic…

Spatial thinking permeates much of our lives and is an asset when solving problems involving well-structured visual information or imagining solutions in physical or digital space. However, an estimated three million US school children have spatial talents that go unrecognized because of the tools commonly used for identification of academic…

Purpose: Being "literate" is well established as key to active civic participation, right from the earliest years of life. Young children's natural curiosity and motivation to understand the world and their places within it through playful explorations offers rich opportunities for learning. Reported here are findings from a STEAM…

Mathematics plays a crucial role in engineering education. Students who are good at math are often advised to consider engineering as a career. In this study, engineers, mathematics teachers, and engineering professors were asked about the type of mathematics representative of engineering, whether the engineering problems created by math…

This teaching note illustrates how escape rooms can be utilized as a tool to teach or review business law concepts, encourage student collaboration, and provide an opportunity for gameplay. Escape rooms can be adapted to any topic, made asynchronous, and scaled up to accommodate larger groups. This note also describes the value of incorporating…

Instructors traditionally lecture on new content before providing practice problems, but learning is often superficial. Exploratory learning before instruction deepens conceptual understanding by giving students a novel activity to explore before direct instruction. We examined how increasing the salience of contrasting cases in exploration versus…

In this article, we consider the phenomenon of improvisation by small groups of middle years students while engaged in rich mathematical tasks in a classroom setting. Working from the premise that improvisation comprises a spectrum of behaviour, we propose that there is a range of improvisational behaviours that may be observed as the students…

Taking into account the profound impact of technology on modern education, especially during the COVID-19 pandemic, increasing academic interest has focused towards the design and application of such tools on different learning contexts. A specific area of Human-Computer Interaction, called affordance theory, focuses on the perception, design and…

Collaborative problem solving (CPS) has been shown to both engage and benefit students' learning of mathematics. However, there is evidence that group work is not always easy to facilitate, in part because educators lack details about learners' engagement during group work: the processes of problem solving involved, and how these are engaged. In…

The purpose of this study was to develop a program that incorporates computational thinking into technology education classrooms and to investigate its effect on students. Software (SW) education and physical computing education are frequently addressed topics in technology education, but education about computational thinking (CT) lacks interest…

This article aims to show some activities based on non-routine problems with different levels of difficulty and from different classes that are integrated into the curriculum, additionally two spaces were opened for students to interact with recreational mathematics activities with the purpose of providing opportunities to all students access the…

The 3-Step Charrette problem-solving methodology turns the classroom into a consulting firm. It trains participants to solve complex, real-world problems cooperatively and systematically. Participants identify needed information and perform several research cycles in teams to gain knowledge to examine the root causes of a presented problem.…