Using a randomized controlled trial, we examined the effect of a fractions intervention for students experiencing mathematical difficulties in Grade 5. Students who were eligible for the study (n = 205) were randomly assigned to intervention and comparison conditions, blocked by teacher. The intervention used systematic, explicit instruction and…

Cognitive difficulty arises from two types of cognitive processes: treatments; within the same, conversions; between different types of representational registers. Conversions are difficult since they ask for understanding of two representations. Direction and the choice of first register could be a threshold for the student. Wasan geometry is…

The acquisition of procedural and conceptual knowledge is imperative for the development of problem solving skills in mathematics. However, while there are mixed research findings on the relationship between the two domains of knowledge in some branches of mathematics, the relationship between learners' procedural and conceptual knowledge of…

Ethnomathematics can empirically improve the cognitive abilities of students in elementary and secondary schools. However, in undergraduate study, there are still limited studies on integrating ethnomathematics in learning resources. This study aims to apply interpolation in modelling polynomial functions and integral volume on the shape of…

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.