In this paper, we continue describing the project and the experimentation of "Ricerca Operativa Applicazioni Reali" (ROAR; in English, Real Applications of Operations Research), a three-year project for higher secondary schools, introduced. ROAR is composed of three teaching units, addressed to Grades 10, 11, and 12, respectively, having…

The use of authentic real-world problems that reflect the applied nature of mathematics is not prevalent in formal secondary school settings. In this study, we explore the interface between workplace mathematics, particularly tech-related real-world (TRW) problems, and school mathematics, through the explication of mathematical modeling. The…

We have developed an assessment of authentic problem-solving in chemical engineering, which we used to measure students' problem-solving at the beginning and end of a cornerstone design course. We measured how much problem-solving students learned, and how these students compared with data collected from seniors at the beginning of the capstone…

The purpose of this article is to introduce a lesson fondly referred to as the 'Lego Shop' lesson. It stands out as not only the most engaging lesson we've conducted but is also highly adaptable to accommodate a diverse range of learners. Successfully implemented across all year levels, from Foundation to Year 6, this lesson has proven to be…

A central problem in undergraduate mathematics education for future engineers consists in the perceived and actual relevance of the mathematical content. One strategy to strengthen both is to let students experience how that content appears in posing and solving authentic problems from the field of engineering which the students have signed up to…

In the face of the global sustainability crisis, schools and teachers are called on to transform education and implement educational innovations to strengthen sustainability education. One of these innovations is 'open schooling': educational practices that involve students in identifying, exploring, and tackling real-world sustainability problems…

Design-based research (DBR) has proven to be a robust methodology for transforming educational practice through a systematic cycle of analysis, design, development, and real-world implementation. Its distinctive strength lies in fostering close collaboration between researchers and educators within authentic learning contexts, producing design…

Background: With around 200,000 autistic students set to enter universities and the workforce in the next decade, inclusive programs are receiving increased attention to helping educational systems carefully integrate these students' needs. Moreover, educational programs recognize that problem-solving is critical for school success and optimal…

This study investigates the extent to which student and task-related characteristics are associated with different types of note-taking and analyzes how task success depends on these elements. For this purpose, a sample of n=866 students (age: mean=13.99) completing two reality-based tasks as part of a paper and pencil test are considered. The…

The development of geocapabilities has been a concern in geographical education, and the application of geospatial technologies such as geographical information systems (GIS) has been popularized in both geography and non-geography courses. However, there are still gaps in how GIS courses could be designed to promote students' geocapabilities. In…

Background: Design problems have long attracted researchers' attention for their potential to provide authentic learning opportunities. While we have methods for supporting students to learn through relatively simple engineering and design tasks, supporting students to address complex problems that they find and frame remains poorly understood.…

Problems presented in mathematics classrooms often focus on routine tasks with students practicing mathematical techniques demonstrated by the teacher. However, this does not reflect the problem-solving process in the real world, and students often find it difficult to connect school mathematics with authentic contexts. This paper discusses…

One of the points of science learning is to extend students' competence, counting problem-solving and analytical thinking. Conditions within the field appear that most students encounter trouble in fathoming relevant issues including the application of science concepts in real-world circumstances. This condition appears the require for compelling…

Innovation in the design of curricula is widely discussed. Innovative curricula expose students to a diverse range of learning environments and prompt them to ask questions, stimulating their creativity and allowing them to develop a sense of initiative and to hone their problem-solving skills and ability to apply knowledge to practice. The…

Mathematics is foundational to integrated science, technology, engineering, and mathematics (STEM) education. Problem solving is central to integrated STEM and to the individual disciplines as evidenced by the practice standards of each discipline (e.g., Standards for Mathematical Practice, Science and Engineering Practices, and Technology and…