The purpose of this work was to explore how elementary pre-service teachers responded to a novel strategy for justifying the triangle area formula. We conducted interviews with 24 pre-service teachers, asking them to evaluate and respond to a hypothetical student strategy for the triangle area. Findings highlighted several interesting struggles…

The theory of Montessori education has been interpreted by some researchers to be vaguely formulated. However, as shown in previous research, Maria Montessori's didactic approach to teaching and learning mathematics is fully consistent with variation theory and the theory of embodiment. Dr. Montessori used the theoretical concept of…

This paper presents a system architecture for synchronous mobile Computer-Supported Collaborative Learning (mCSCL). The paper builds on the notion of content-independent mCSCL by adding the technology support designed according to the contemporary design principles to support young learners. The specifics of the presented architecture are the…

In this paper, the development of the MAR (mobile augmented reality) remedial teaching program is described. It allowed students to manipulate augmented objects through AURASMA app via internet and find leads to solve geometry problems regarding compound-cube-surface area. In order to foster students' spatial abilities, the program provided…

Math coach, Kassia Omohundro Wedekind, and literacy coach, Christy Hermann Thompson, have spent years comparing notes on how to build effective classroom communities across the content areas. "How," they wondered, "can we lay the groundwork for classroom conversations that are less teacher-directed and more conducive to…

In this exploratory research project, our team's goal was to design and begin validation of a measurement approach that could provide indication of a student's ability to transfer their mathematics understanding to future, more advanced mathematical topics. Assessing transfer of learning in mathematics and other topics is an enduring challenge. We…

The research examined the calculation methods used by pupils in Grades 3-6 when they were presented with problems that could be worked out efficiently and flexibly by applying number sense. The study was conducted with a convenience sample of 179 pupils between the ages 7 years and 10 months to 12 years and 10 months. in mainstream education in…

The purpose of this research is to evaluate the problems encountered in the process of realizing the continuity of preschool and primary school mathematics education and to determine the use of technology in mathematics education in line with the opinions of teachers. The research is a phenomenological study within the scope of qualitative…

This paper is a part of a broader study which aims to investigate mathematics teacher candidates' mathematical knowledge for teaching (MKT) by using the Turkish translated versions of TEDS-M (Teacher Education and Development Study in Mathematics) Primary and Secondary Released Items. The sample of the study comprised freshman (first year) and…

This paper explores three multilingual students' (9 to 11-years-old) conceptual understanding of three-dimensional (3D) shapes as displayed through peer and classroom interactions in two New Zealand primary classes. Bakhtin's dialogic theory and Garfinkel's ethnomethodology inform the theoretical framework. The paper presents two excerpts from…

The aim of this study is to examine possible sources of negative math attitudes as well as some possible effects. The main body of this dissertation are three stand-alone chapters that are designed to be stand-along academic article. Chapter 2 uses data from the High School Longitudinal Study (HSLS) and lagged-dependent variable and school fixed…

Researchers use data from the RAND American Mathematics Educator Study surveys of public school principals and teachers to investigate three school structures--referred to as "school opportunity structures" throughout this report--that may affect kindergarten through 8th grade (K-8) students' mathematics learning. These structures are…

The COVID-19 pandemic has been called an educational catastrophe. It caused massive disruptions in education, learning loss for students, and massive increases in teacher workloads, stress, and health-related issues. There were significant issues of student disengagement and rampant cheating on assessments. This paper looks not at the huge…

Classroom data modeling involves posing questions, identifying attributes of phenomena, measuring and structuring these attributes, and then composing, revising, and communicating the outcomes. Selecting attributes is a fundamental component of data modeling, and the considerations made when selecting attributes is the focus of this paper. A…

The aim of this study is to examine prospective mathematics teachers' skills of interpreting algebraic formulae at the student level. In this context, 84 prospective teachers studying in the senior class of the elementary mathematics teaching program of a university in Turkey constituted the participants of the study. In this study, the…