The lesson described in this article was developed and taught by a team of mathematics educators and physical therapists, with the shared goal of broadening students' perception of how mathematics concepts are applied in the real world. This lesson gives students authentic experience with the Gait Speed Test as a physical therapist would…

The revised Australian curriculum presents a new emphasis in primary schools on the process of Mathematical Modelling. A modelling focus brings close attention to confidence and capability with a potentially new problem-solving process, associated language, and pedagogical processes. This paper presents a Year 4 classroom modelling experience that…

Approximations of practice are opportunities for preservice teachers (PSTs) to engage in components of teaching. However, how the varying levels of complexity or authenticity of teaching create different learning opportunities for PSTs is underexplored. Forty-one studies related to approximations of mathematics teaching were reviewed to explore…

An asset-based perspective on math education means starting with what students already know instead of focusing on what is missing. This approach elevates student thinking and reasoning skills. In this way, educators acknowledge that all students bring prior experiences, strengths, talents, and resources to the learning process and can contribute…

A practice-based engineering degree, in which students worked on real-world, team-based projects from day one and throughout their course, was designed to address the need for employability skills in a rapidly changing world. Teaching mathematics in this way required a very different approach to the lecture-exam based model prevalent in most…

The teaching and learning of mathematical modelling involve engagement in real-world situations and the mathematization of such situations. In this study, the communication between teachers and students in 13 lessons (0.75-1.5 hours each) in two Norwegian upper secondary classrooms is observed and recorded to explore how modelling is communicated…

We investigated the development of students' sociopolitical consciousness via engagement in a mathematical activity purposefully designed around understanding the unemployment rate in the US. Qualitative data was collected from 12 university seniors participating in an online capstone class. Results showed that students: (1) further developed…

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 rigorous and axiomatic-deductive approach is emphasized in teaching mathematics at university-level. Therefore, the secondary-tertiary transition includes a major change in mathematical thinking. One viewpoint to examine such elements of mathematical thinking is David Tall's framework of the three worlds of mathematics. Tall's framework…

Acquiring mathematical literacy requires students to apply mathematics in various real-world contexts. However, mathematics classes often provide brief, content-focused descriptions of reality-based tasks and tasks that describe the situation as more complex, closer to reality, are still lacking. Students with different sociodemographic…

Teaching mathematics is inherently complex, requiring a deep understanding of both the subject matter and the pedagogical strategies that foster effective learning. Effective mathematics teachers must possess a robust grasp of the mathematical content they are teaching--a proficiency often honed over years of educational and practical experience…

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…

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…

As education systems adapt to evolving societal and technological demands, mathematics curricula must also evolve. Recent trends highlight challenges such as declines in student performance and gaps between intended learning goals and real-world applications. Integrating competencies like data literacy, computational thinking, and problem-solving…

Discover a bold new vision for high school mathematics that empowers students through engaging, real-world learning. For decades, mathematics education has been guided by the visionary efforts of educators and leaders who recognized the importance of making math relevant, engaging, and accessible to all students. From the foundational principles…