A common educational assumption is that coherence is a pre-requisite for a "good" curriculum. Indeed, in mathematics education this perspective has persisted both nationally and internationally as a foundational principle for curriculum design, reform, and evaluation. While curricular coherence is often unquestioningly accepted as…

The mathematical construct of dimension is one of the fundamental ideas for developing a sound understanding of two-dimensional (2D) and three-dimensional (3D) shapes. Yet, research in mathematics education has rarely explored children's understanding of dimension in primary education. This paper explores how year 5/6 (9 to 11 years old) children…

The development of professional digital competencies is an important condition for a meaningful integration of digital technologies in mathematics education. A widely used and empirically studied approach for the professional development of in-service teachers are teacher design teams, in which lessons are collaboratively planned, implemented and…

Attention to the disconnection between culture and mathematics has been addressed then and now (Wilder (in: Graves et al., Proceedings of the international congress of mathematicians, American Mathematical Society, 1950; Liu in Taiwan Journal of Mathematics Education, 8:79-88, 2021b). Recently, studies, workshops, and contests about an approach to…

This study investigates the integration of EthnoSTEAM into mathematics education, focusing on the importance of incorporating students' cultural contexts to enhance their learning experiences. Traditional mathematics education often fails to account for the cultural backgrounds of students, hindering their ability to connect mathematical concepts…

Background/Context: There were over 500,000 open computing jobs across the country in 2018, but only 35% of U.S. high schools offer computer science classes, and only 8-10% of STEM graduates study computer science (Code.org, 2018). In 2021, only 5.1% of all Bachelor's degrees conferred were in Computer and Information Sciences (IPEDS, 2018). STEM…

This paper describes how one third and final year pre-service (PST) used curriculum materials when planning for primary mathematics teaching on practicum. The findings were drawn from a semi-structured focus group interview, where four PSTs recalled how they planned for primary teaching during a previous practicum. This case study shows how one…

Decades of scholarly work continue to document the marginalization of children from nondominant backgrounds in mathematics classrooms. Learning to equitably teach children from linguistically, ethnically, racially, and culturally diverse backgrounds remains a priority. This dissertation approaches this broader problem in society by understanding…

Although research suggests that many pre-service mathematics education programmes are weak interventions having a negligible effect on student teachers' knowledge, beliefs and attitudes, there is consensus that programmes that model and engage student teachers in reform teaching and learning approaches have the potential to effect positive change…

The teaching of sorting algorithms is an essential topic in undergraduate computing courses. Typically the courses are taught through traditional lectures and exercises involving the implementation of the algorithms. As an alternative, this article presents the design and evaluation of three educational games for teaching Quicksort and Heapsort.…

A problem-solving capstone course for mathematics and mathematics education majors can help majors synthesize material learned in the major, create a basis for lifelong learning in the discipline, develop confidence, and promote interest in graduate study. Such a course may also play a role in departmental assessment of the major. This article…

International studies on the knowledge of mathematics at the generalist-class teaching level have indicated that Slovene students are quite skilled at computations, but have difficulties solving mathematical problems. This finding stimulated us to create a problem-based instruction model. We wanted to find out whether the students in the…

The study reported in this volume adds to the growing body of evaluation studies that focus on the use of NSF-funded Standards-based high school mathematics curricula. Most previous evaluations have studied the impact of field-test versions of a curriculum. Since these innovative curricula were so new at the time of many of these studies, students…

The National Council of Teachers of Mathematics formulated its Standards in response to a broad consensus demanding change. The Core-Plus Mathematics Project (CPMP) is an effective National Science Foundation-supported effort to design, prepare, evaluate, and disseminate curricular options for an NCTM standards-based high-school mathematics…

Mathematics curriculum at the tertiary level is located within a range of social and cultural theories, and is often constructed by academics seeking to promulgate a particular view of mathematics. We argue that such a curriculum should incorporate a real acknowledgement of the different ways in which students understand the nature of mathematics…