Music and math are related in that 1) they both rely on the basic understanding of numbers, proportions, intervals, measurements, and operations and 2) both require levels of abstract thinking and symbolic notation. Studies link music and math by examining, for example, how music may play a role in math performance. There are, however, few studies…

This study explores the extent to which pre-service teachers are able to implement contemporary practices in teaching mathematics during their practicum. The main focus of the study is on the importance of prior engagement of students in learning mathematical concepts. The total population of 150 student teachers from both the Colleges of…

This paper seeks to identify significant trends in mathematics curricula and teaching approaches in two education systems: the United States (a highly decentralised education system) and England (a highly centralised education system), with focus on 16-to-19-year-olds. The paper adopts a two-fold perspective: an historical overview, and comparison…

The aim of this study was to investigate the faculty members' and the middle school mathematics teachers' perspectives regarding the use of the history of mathematics in the learning-teaching process of mathematics. As a phenomenological study, the qualitative data were collected through semi-structured interviews from 27 middle school mathematics…

The Mathematics Department at Cornell University has recently secured a grant from the University to implement systemic change in how we teach courses that reach students at critical transition points in their mathematical development. In this article, we report on the changes made to our large multi-section first-semester calculus course in order…

Mathematics curricula have traditionally focused on content knowledge, often in the form of a scope and sequence of increasingly difficult mathematics. The importance of using and applying mathematics is recognised in the current Australian Curriculum Mathematics (AC: M) as 'proficiencies' that are intended to be integrated with the content. There…

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…

The purpose of the qualitative exploratory case study was to examine California community college administrators' perceptions of preparation for achieving full compliance in implementing California Assembly Bill (AB) No. 705. The study involved analyzing documents, a physical artifact, and archived data from 14 community colleges in southern…

This study aims to identify what curriculum resources preservice teachers are using when planning a lesson individually and with a group. Moreover, it is interested in understanding the criteria they use when selecting curriculum resources in their lesson plans. The data were obtained from 28 preservice mathematics teachers through a written…

The ways teachers converse about their work in relation to information and communications technologies (ICTs) are worth studying. We analyse how a teacher converses about her local practices in relation to two spreadsheet algebra programs (SAPs) on variables. During the conversations we noticed that the teacher keeps different policy documents --…

This study critically examines the K-12 curriculum reform in the Philippines and suggests ways on how it can move forward. Specifically, three recent curriculum guides (i.e., science, mathematics, and English) were analysed to determine how they fit with the Education 4.0 milieu. Using a curriculum analysis matrix, the findings indicate that these…

Verification and validation are essential aspects of mathematics and beyond in STEM, but these constructs are not consistently defined in research nor in curricula documents. In this theoretical paper, we argue that verification and validation are largely characterized as binary judgments by teachers and researchers about what students do. We then…

This study examined the type of mathematical tasks in two Australian and two Indonesian mathematics textbooks for 7th-grade students. The quantitative data were collected from the coding results of the tasks in the textbooks. The tasks were coded based on six categories: the presentation forms, the cognitive requirements, the contextual features,…

In this research, we investigate the concerns regarding a national mathematics curricular reform of a cohort of student teachers over the course of their 2-year postgraduate initial teacher education (ITE) programme. The concerns of 41 student teachers from four third-level institutions in Ireland were initially recorded at the commencement of…

Most prospective secondary mathematics teachers in the United States complete a course in real analysis, yet view the content as unrelated to their future teaching. We leveraged a theoretically-motivated instructional model to design modules for a real analysis course that could inform secondary teachers' actionable content knowledge and pedagogy.…