Children learn the cardinalities of the first numbers one, two, three and four before they learn how counting tracks cardinality for all numbers. It may be that when children start to understand counting, they also discover how numbers relate to one another in a structured number system. Do children who understand that the cardinality of a set is…

The current study examined how prospective first- and second-grade mathematics teachers define the polygon diagonals concept, how they reconstruct their definition during and following an intervention, and how their concept images develop over time. Twenty-three prospective teachers participated in the study, during which they were asked to…

Mathematics teacher educators suggest investigating evidence of Preservice Mathematics Teachers' (PMTs) Mathematical Knowledge for Teaching through Approximations of Practice. However, the forms of approximations of practice that optimize PMTs' opportunities to demonstrate and develop Mathematical Knowledge for Teaching are underexplored. In this…

In expert-novice research paradigms on the teaching profession, the length of experience is--despite many warnings--used quite often as a key criterion for assigning teachers to the expert group. Using data from the COACTIV project (a study on the professional competence of mathematics teachers in PISA classes) we analyzed the relationship between…

In the age of change, rapid changes occur in the education and teaching process as in every field. The changes have brought new insights and practices to the mathematics teaching process, just like any other lesson. One of these changes is teaching with storytelling method. Learning with this method can be envisaged to warrant a more permanent,…

The purpose of this study is to establish the evolution and expose the trends of research in mathematics education between 1980 and 2019. The bibliometric analysis of the articles in Web of Science database indicated four-clustered structure. The first cluster covers the items related to the theoretical framework of mathematics education whereas…

This study aims to investigate the effect of gamification on fifth-grade students' academic achievements and attitudes towards mathematics course. For this purpose, the teaching process of the "fractions" as a subject of the mathematics course is equipped with gamification elements. The quasi-experimental design is preferred as the…

The purpose of the present research is defining the direction and level of the relationship between 8th grade students' translating among multiple representations skills and their algebraic reasoning and revealing the predictive power on algebraic reasoning. The research was conducted in accordance with relational survey model, which is a…

Nationwide, many students fail to complete the key mathematics courses that are required for most STEM majors, including Precalculus. This paper describes the rationale, implementation, and impact of the redesign of Precalculus at one regional west coast institution. Prior to the redesign, pass rates in Precalculus were modest (75.8% of all…

Evaluating the proving process of mathematics teachers is important for the development of their proof skills. Developing the proof skills of teachers can contribute to their students' meaningful learning of mathematics. For example, teachers showing simple proofs about number theory can make it easier for students to understand the concepts of…

After 25 years with small to moderate gains in performance in mathematics, scores on the National Assessment of Educational Progress (NAEP) main assessment declined between 2013 and 2015 in Grades 4 and 8. Previous research has suggested the decline may be linked to the implementation of the "Common Core" state standards. In this…

The aim of this study is to determine the effect of Big Math for Little Kids (BMLK) Program on the early mathematics skills of children with lower socioeconomic level. The participants of the study consist of between 60-72 months of aged children with lower socioeconomic level recruited to kindergartens of Ministry of National Education from…

In the first months of 2020, as the COVID-19 pandemic became a top concern worldwide, media coverage became full of information that demands mathematical literacy, or numeracy, to interpret. In this study, we examine the public's understanding of mathematical notions that are required for understanding the pandemic and predicting its spread. We…

In this study, how the learning process designed with mathematical modeling activities affects the mathematical modeling competencies of middle school students who are at different levels in terms of reading comprehension skills. In the study, nested (embedded) pattern was preferred among mixed method research designs. The participants of the…

Using their experience of working with the students as an example, the authors of this article aim to illustrate five student actions to which teachers can attend when implementing a social justice-oriented mathematical task. The example described is based on the work of 24 African American students in grades 6-8 who attended the authors'…