'Mathematical sophistication' behaviours are often exercised by mathematicians in their work. In this article, the importance of mathematical sophistication will be discussed and three mathematics problems that activate mathematical sophistication behaviours will be presented.

Contribution: In this article, an experience applying three role-playing games in the context of an Entrepreneurship final project is presented, discussing the challenges, and the lessons learned. Background: Soft skills have been expounded repeatedly as a crucial factor to thrive in the workplace, as opposed to mere knowledge of content only,…

Building proficiency with fraction arithmetic poses a consistent challenge for students with learning difficulties or disabilities in mathematics. This article illustrates how teachers can use the number line model to support struggling learners in making sense of fraction arithmetic. Number lines are a powerful tool that can be used to help…

This keynote address explores the history and role of college math requirements with a focus on ensuring math courses serve to expand students' horizons, rather than serve as gatekeepers. It discusses the advent of general education math courses, which brought more students into math departments, which ultimately contributed to broadening the…

Simplifying equations via assumptions is integral to the "engineering method." Algebraic scaling helps in teaching the engineering skill of making good assumptions. Algebraic scaling is more than a pedagogical tool. It can create a solution where one was not possible before scaling. Scaling helps in engineering proper design…

Colleges are becoming increasingly diverse, including strengthening representation of students with disabilities in STEM (Science, Teaching, Engineering, and Math) fields; however, representation still lags behind national trends. To adapt to this changing demographic and improve representation, STEM college professors must be prepared to grant…

The Individuals with Disabilities Education Act (IDEA) funds programs providing services designed to assist children with a range of delays and disabilities in achieving individualized developmental and functional goals. There are two types of programs. Part C Early Intervention is for children ages birth-2, and Part B Preschool is for children…

The relevance of this article is due to the need to form and develop algorithmic thinking of higher education students as the main requirement of the information society following 21st century skills and competences for new millennium learners. The purpose of the article is to consider algorithmic thinking as a new dimension of learning in higher…

Encouraging students' ability to reason can be looked at through the lens of both oral and written representations. In 2022, the author participated in the first intake of the Teacher Excellence Program run by the Victorian Teaching Academy. Being part of an in-depth professional learning program challenged the author's teaching practices to focus…

The public's growing interest in epigenetics, particularly its applications in human health, underscores the significance of epigenetic mechanisms in regulating gene activity and promoting phenotypic diversity without altering DNA sequences. Within the framework of the Extended Evolutionary Synthesis, epigenetics is regarded as a non-genetic…

In this article, we present a hierarchical model for teaching scientific thinking to gifted students. This article follows up on an article published 40 years ago in this journal. The problem now, as 40 years ago, is that gifted students often are taught science courses at a more intensive level, but without their truly learning how to think…

An Integrated Curriculum Design (ICD) is a strategy to unite core degree courses. Specifically, an ICD is the authentic integration of courses into a learning unit that fosters a better understanding across curricula. As such, an ICD involves the integration of content with skills and processes. The goal is to support deep learning and facilitate…

The advancement of large language model-based generative artificial intelligence (LLM-based GenAI) has sparked significant interest in its potential to address challenges in computational thinking (CT) education. CT, a critical problem-solving approach in the digital age, encompasses elements such as abstraction, iteration, and generalisation.…

To provide practice and assessment of computational thinking, we need specific problems students can solve. There are many such problems, but they are hard to find. Learning environments and assessments often use only specific types of problems and thus do not cover computational thinking in its whole scope. We provide an extensive catalog of…

Design thinking--a human-centered approach to problem solving--is a process by which K-12 teachers engage students in solving relevant issues that occur in their schools. In this article, the authors describe a project in which fourth-graders used design thinking to solve an unexpected issue related to a much-anticipated class project. The project…