Adjusting the Calculus I curriculum by putting modelling and differential equations literally at its centre leads to a better-organised and better-motivated course. The biggest change is including a section on "qualitative" and "numerical" solutions to ordinary differential equations between the customary sections on…

In this article, the authors discuss how a system change framework was developed to change the way a school system worked for students. Decades of reports documented inequitable placement into and completion of remedial mathematics in the University of Wisconsin System (UW System). Incoming "undecided" students often enrolled in college…

Research in mathematics education highlights the importance of including modelling for the teaching of this subject. In 2020, this trend coexisted with a grave contingency situation caused by the COVID-19 pandemic but which, despite its negative aspects, provided a realistic and authentic context for modelling. Given this situation, it is relevant…

Mathematical modeling is crucial in the field of education, particularly in mathematics, as it enhances students' mathematical skills and prepares them for solving real-world problems. The study focuses on the challenges of teaching mathematical modeling, specifically in the Malaysian education system. We utilized a case study approach, involving…

In "School Rethink 2.0," editors Frederick M. Hess, Michael B. Horn, and Juliet Squire gather leaders immersed in the nuts-and-bolts work of educational reinvention to present ten promising education improvements and ways to implement them. Contributors, including acclaimed education pioneers Sal Khan, Beth Rabbitt, and Larry Berger,…

Many studies on professionalization research deal with the question of how teachers actually learn or how teacher change occurs. In this context, Clarke and Hollingsworth (2002) describe a model for capturing teacher change in different domains (external, personal, domain of practice and domain of consequence) and how changes in one domain can…

This paper focuses on the development of a model of research and professional development which aims to bring about transformations in classroom practice in situations that have previously proved resistant to change. We explore reasons why conventional models have failed to address one such situation, the continuing predominance of teacher-centred…

In this theoretical paper, we respond to a call for all Mathematics Education researchers to become equity researchers (Aguirre et al., 2017) by articulating how equity is foundational to making second-order models of students' mathematics. First, based on prior research, we view equity to be about power and respect. We define an act of equity as…

Research and data show that developmental education has been a stumbling block for the majority of community college students in pursuing their higher education degree. Students can spend several semesters to complete developmental math requirements in order to take a first college-level credit-bearing math course for their degree. Many colleges…

This article presents the journey taken by staff at St. Patrick's Primary School in Kilmore to implement a consistent approach to the teaching of mathematics, using an instructional model to support student learning through structured inquiry pedagogies.

Modernizing mathematics refers to the idea that teachers should rethink how mathematics has traditionally been taught in schools by making rich tasks and collaboration the focus of instruction and promoting opportunities for active learning. "Modern Math Tasks to Provoke Transformational Thinking" presents carefully crafted tasks that…

In this paper, six mathematics curriculum changes in Iran are reviewed, spanning from 1900 to 2021. Change of forces, barriers, and the main features of each reform are represented. Specifically, the first five curriculum changes are described briefly and the sixth and most recent one is elaborated upon, with more detail as contemporary school…

This article addresses why instructors choose to not use inquiry-oriented instructional practices (IO-IPs) even if they believe the practices are beneficial. A national sample of undergraduate mathematics instructors (N = 269) responded to questionnaires on their use of IO-IPs, beliefs on student learning, and recognition of professional…

The overarching aim of this article is to exemplify and analyse how some algebraic aspects of equations can be theoretically explored and reflected upon by young students in collaboration with their teacher. The article is based upon an empirical example from a case study in a grade 1 in a primary school. The chosen lesson is framed by the…

In this dissertation in practice, the background of middle grades mathematics acceleration detailed why the organization benefited from a program analysis. Middle grades mathematics acceleration encourages students to take high school Algebra I in eighth grade so they can earn college-level math credits for free in high school. Often acceleration…