The study describes how the common representations are coordinated. I analyzed a popular geometry textbook using semiotics and a pragmatic approach to capture the variety of representations into categories and to use descriptive statistics to narrow the focus to the most common representations and coordinations. The major findings are: (1)…

In this theoretical paper, I use an empirically based example to illustrate particular design features of the Learning Through Activity (LTA) design framework and examine the impact of particular design principles. The LTA design framework is based on our elaboration of Piaget's construct of reflective abstraction. The example discussed here,…

The purpose of this quantitative study was to determine if a statistically significant difference existed in student growth and proficiency scores between students receiving gamified math instruction compared to those receiving non-gamified math instruction in a suburban middle school in Tennessee. This investigation is based on the theoretical…

There is ongoing debate regarding what performance on the number line estimation task represents and its role in mathematics learning. The patterns followed by children's estimates on the number line task could provide insight into this. This study investigates children's estimation patterns on the number line task and assesses whether mathematics…

Groupwork provides opportunities to learn important communication and collaboration skills, but how can we ensure all students are participating equitably while also engaging with the academic content when working in groups? Group-worthy tasks provide participation structures needed for students to engage with the content as well as develop and…

The curricular unit Calculus I -- Extraordinary Semester (UCCISE) -- was explicitly created to respond to students' difficulties in the curriculum unit Calculus I (UCCI). Only students who fail the UCCI are allowed to attend UCCISE. Considering the enrolled students' familiarity with mathematical software, the potential of group work to stimulate…

In the research described in this paper, we explored the way Palestinian teachers use the Arabic language to teach mathematics in Arabic. First, we address the issue from an historical overview of the context of study. The historical overview allows us to situate the current context of teaching mathematics in Arabic in Palestine. We rely on…

The research presented in this article is a systematic review of the literature on the assessment of mathematical modeling in the setting of mathematics education published in the previous five years. This research has compiled the current best information from around the world to offer an overview of the assessment of mathematical modeling for…

A teaching practice consistent with the development of students' mathematical reasoning requires teachers to hold a profound understanding of mathematical reasoning. The aim of this research is to study the development of middle and secondary mathematics teachers' understanding about the processes of generalizing and justifying in a professional…

The widespread of online education is clear and the demand for online education is increasing rapidly, so the quality of offered online courses is urging. During COVID-19 restrictions, unprepared institutions, instructors, and students for online education were clear, especially in STEM. So there is a need for more research on online mathematics…

This study investigates elementary pre-service mathematics teachers' noticing in a video-based activity within the context of a mathematics teaching methods course. To this end, we analyzed what and how pre-service mathematics teachers noticed in the Public Release Third International Mathematics and Science Study (TIMSS) videos. Data obtained…

This study explores the extent to which pre-service teachers are able to implement contemporary practices in teaching mathematics during their practicum. The main focus of the study is on the importance of prior engagement of students in learning mathematical concepts. The total population of 150 student teachers from both the Colleges of…

Most any students can explain the meaning of "a[superscript b]", for "a" [element-of] [set of real numbers] and for "b" [element-of] [set of integers]. And some students may be able to explain the meaning of "(a + bi)[superscript c]," for "a, b" [element-of] [set of real numbers] and for…

In this article, we analyze moments of teacher telling (MTT) involving the exposition of new knowledge to students. We first specify the theoretical framework used for our analyses and describe our global methodology, focusing on teacher telling moments as taking part in the students' mathematics learning. Then, we review the literature on this…

This research examined the Chinese National College Entrance Examination (NCEE) in mathematics before and after the Great Proletarian Cultural Revolution, specifically covering the periods 1952-1965 and 1977-1984. The central focus was on the organization, structure, and content of the examinations, as well as their influence on and interaction…