Purpose: Music could be a challenger for mathematics and a potential candidate for the title "The Universal Language." This paper aims to discuss the primary objectives of engaging with music, including the therapeutic benefits. Similarities, between mathematics and music and how studying one might enhance one's abilities of the other…

This study investigated the technical characteristics of four early measurement curriculum-based measures (EM-CBMs) designed to assess concepts related to linear measurement and iteration. The sample consisted of 221 first grade students. Data were collected at two time points approximately 10 weeks apart. Reliability and concurrent and predictive…

Improving teachers' content knowledge in mathematics is one way to address the ongoing national concern of poor performance in math. The purpose of this study was to investigate the impact of self-regulated online professional development for teachers' knowledge of fractions, decimals, and percentages, as well as factors prompting that impact.…

With the rapid advancement of information technology, the Intelligent Teaching System (ITS) has emerged as a pivotal tool in mathematics education. This paper aims to evaluate the effectiveness of ITS by exploring its impact on personalized learning, increased student interaction and participation, intelligent assessment and feedback, teacher…

In recent years, studies have discussed how to introduce computational thinking (CT) concepts in mathematics education through mobile app development. In this study, the design of mathematics lessons based on the 5E instructional model to extend the idea of CT in a mobile technology environment (i.e., mobile CT) was investigated. Twenty-three…

Providing students with rich tasks that are both engaging and mathematically important is a vital aspect of teaching primary mathematics effectively. One means of supporting the development of rich tasks that meet these criteria is to embed them in a narrative. Narratives can aid in the development of mathematical understanding through a number of…

This classroom study immersed high school geometry students in the creative and intellectually challenging design task of developing unique logos using mathematics and technology. The students applied and deepened their knowledge of transformations while using dynamic geometry software. One of the main aims of the task was to elevate student…

Despite the function concept being fundamental to mathematics, an adequate understanding of this concept is often lacking. This problem is prevalent at all levels of education and is reported in many countries. This article reports on a new pedagogical strategy based on exploring photographs or digital images as functions. The objective of this…

The surface area of a sphere as a function of radius, "r," is a derivative of the volume of the sphere, and a few other families of solids with this property are known. Sometimes, the derivative relationship can be reached with a tricky choice of size parameter "r." This paper presents an activity for students that discovers…

In this article, the authors share the potential for two types of atypical arrays (composite and partially hidden) to stimulate initial multiplicative ideas and strategies from students in a second-grade classroom. Composite arrays are defined here as nonarrays that are composed of multiple smaller complete arrays. The atypical arrays were…

As mathematical patterns become more complex, students' conditional reasoning skills need to be nurtured so that students continue to critique, construct, and persevere in making sense of these complexities. This article describes a mathematical task designed around the online version of the game Mastermind to safely foster conditional reasoning.

The purpose of this study was to describe the standard process of mathematical reasoning in learning on pyramid volume concepts. The study was a study with descriptive qualitative approach, carried out by peer teaching in the classroom. The subjects of this research were Class B Postgraduate 2018 (S2) students, State University of Malang. The…

In recent years, philosophical work directly concerned with the practice of mathematics has intensified, giving rise to a movement known as the "philosophy of mathematical practice." In this paper we offer a survey of this movement aimed at mathematics educators. We first describe the core questions philosophers of mathematical practice…

There is evidence that spatial thinking is malleable, and that spatial and mathematical skills are associated (Mix et al. [2016] "Journal of Experimental Psychology: General," 145, 1206; Mix et al. [2017] "Journal of Cognition and Development," 18, 465; Uttal et al. [2013] "Psychological Bulletin," 139, 352). However,…

A growing body of research supports writing as a means to learn mathematics. Although introductory courses have benefited the most from the spread of this mode of learning, writing may be promoted in advanced courses. This paper reports on writing tasks in a complex analysis course where the primary goal was for students to investigate…