Current global crises (e.g. COVID-19 pandemic and climate change) necessitate changes to mathematics curricula, especially related to using mathematics to solve real-world problems. We begin with the Programme for International Student Assessment's (PISA) framework for mathematical literacy (FML), since it functions as a global guide for…

In today's digital society, people encounter a lot of information on a daily basis. This information should be understood by citizens in order for them to be able to properly engage in political issues, something the population of a healthy democracy does. Much of such information involves mathematics and fully comprehending it requires so-called…

The need to improve the mathematical proficiency of elementary teachers is well recognized, and it has long been of interest to educators and researchers in the U.S. and many other countries. But the specific proficiencies that elementary teachers need and the process of developing and improving them remain only partially conceptualized and not…

This paper belongs to a field of research that has appeared comparatively recently, namely, the study of mathematics competitions. The paper utilizes historical-theoretical methodology and is devoted to changes in the way in which mathematics competitions have been conducted in Russia in recent decades. Mathematics competitions, like mathematics…

In order to enhance students learning environments, mathematics lecturers need to prepare suitable materials in their lessons. So improving the materials in textbooks based on learning theories is so important to enhance the ability of students in mathematics learning through problem solving activities. The purpose of this qualitative case study…

Measurement invariance is crucial for making valid comparisons across different groups (Kline, 2016; Vandenberg, 2002). To address the challenges associated with invariance testing such as large sample size requirements, the complexity of the model, etc., applied researchers have incorporated parcels. Parcels have been shown to alleviate skewness,…

Although self-assessing one's knowledge is an integral part of a teacher's professional development, little is known about the accuracy of teacher candidates' self-assessments. In particular, not much attention has been paid to their self-assessment accuracy assessed on an individual level. Using measures from research on metacognition, we…

This research advocates for content integration and literacy-based practices in the world of reading and mathematics education, as well as the connection to outside sources that can either positively or negatively impact learning. More importantly, this research explored the connection to literacy and mathematics instruction as it pertains to…

It is commonplace in the educational literature on mathematical practice to argue for a general conclusion from isolated quotations from famous mathematicians. In this paper, we supply a critique of this mode of inference. We review empirical results that show the diversity and instability of mathematicians' opinions on mathematical practice.…

In the first main section of this thesis, I investigate superirreducible polynomials over fields of positive characteristic and also over [set of rational numbers] and [set of integers]. An n-superirreducible polynomial f(x) is an irreducible polynomial that remains irreducible under substitutions f(g(x)) for g of degree at most n. I find…

Many studies have investigated students' problem-posing activities. However, there has not been a strong focus on affective aspects in mathematical problem-posing. Also, students' understanding of the function concept whilst generating functions has not previously been investigated. This paper investigated students' misconceptions of the function…

This study reports on in-service mathematics teachers' views of geometry in the context of ethnomathematics. A convergent parallel mixed method design which includes both quantitative and qualitative methods was used to provide a deeper understanding of how the participants view geometry from an ethnomathematics perspective. Questionnaires and…

We examined how parent math attitudes and practices relate to emergent math skills in 72 preschoolers from low-income households. Specifically, we investigated parents' views about the importance of math learning, their confidence in teaching math, their perceptions of child interest in math, and their time spent engaging their child in math…

This study seeks to offer a comparative analysis of the History of Mathematics (HoM) elements identified in the secondary school mathematics textbooks of different countries. Drawing on document analysis method, this study analyzes the secondary school mathematics textbooks of Turkey, Singapore, Ireland and Canada. The HoM elements in the…

In this paper, we consider the issues involved in creating appropriate problems for a popular mathematics competition, and how such problems differ from problems typically encountered in a classroom. We discuss the differences and similarities in school curricula versus the generally agreed upon topics encountered in international competitions.…