Many generalization studies in education are typically based on a sample of 30-70 schools while the inference population is at least twenty times larger. This small sample to population size ratio limits the precision of design-based estimators of the population average treatment effect. Prior work has shown the potential of small area estimation…

This article is a discovery-based instructional resource for faculty to use as a capstone course or exploratory project for undergraduates who are familiar with (but not necessarily fluent in) calculus, linear algebra, complex variables, and geometry. The explorations flow from a simple change in sign: in the complex numbers a + bi, where…

This study investigates how pre-service mathematics teachers integrate technology into their classroom practices, which normative behaviour they formulate in the classroom and the relationship between such behaviour and the integration process of technology. The study integrates two frameworks, the Instrumental Orchestration and Sociomathematical…

Mathematics satisfaction can drive students to work harder in math class. Thus, it is vital to assess the satisfaction of learners using an instrument to intervene in the teaching and learning process. There are research studies that have independently developed questionnaires to measure students' mathematics satisfaction, but most of them focused…

Using origami in the classroom, this study examines the experiences of pre-service middle school mathematics teachers. A case study model was employed in this study as a qualitative research approach. The study involved 39 senior pre-service mathematics teachers. Document analysis, semi-structured interviews, and observation techniques were used…

In this article, I connect self-efficacy and social constructivism and how this shaped me as a researcher and academic, as well as how connections to my advisor, Dr. Terry Wood, gave me the self-efficacy to persevere during the personal and scholarly challenges of my doctoral program. I discuss, using Bandura's social cognitive sources of…

In this paper, we introduce a new interpretive framework, which we call Bodymarking, to aid in describing and interpreting activity (e.g., individuals' gestures, gaze, and interaction with materials in the environment) in the classroom. We apply the framework to video recordings of mathematics lessons to explain how it can be used and offer some…

The absence of discussions of identity that consider both subjective/personal and social aspects of identity is an important concern in mathematics education research. This paper proposes a framework to analyse the mathematical identities offered to and constructed by learners during peer interactions, by considering personal and social…

Over the last three decades, educational researchers and policymakers have increasingly promoted instructional strategies that centralize group work in mathematics. One difficulty teachers face in implementing group-based instruction in mathematics involves facilitating meaningful group interaction amongst students. In this paper, we explore…

Due to rapid immigration, many children worldwide are learning mathematics in a second or additional language. This language diversity can be challenging for both teachers and students and carries profound implications for mathematics educators. Research shows that teachers use various ways to support English Language Learners. Research on…

This work is the result of a pre-experiment carried out as part of a master's course, dealing with the study of the parabola through different mathematical views. It aims to recognize possible didactic obstacles in its teaching, based on intuitive manifestations in the resolution of a didactic situation based on GeoGebra software. The methodology…

In this study, a paper folding activity task, which involved reaching the Pythagorean Theorem with a series of steps was designed. The aim of the task is to reach the Pythagorean Theorem with folding activities by deductive reasoning and logical inference. The study aimed to examine the effectiveness of the task and to share the patty paper…

The concept of fractions given in learning is the concept of part of whole and part of unit. The development of student's concepts of fractions can be built through fraction schemes. A partitive fraction scheme is a scheme that estimates the size of the fraction in the form of non-units to the whole that is not partitioned. The concept of…

In learning during the current epidemic, students cannot meet face to face on campus, and learning geometry in universities is a dreadful lesson before the pandemic. Both at UPGRIS and other private universities so far, students are required to use a compass and ruler in making flat shapes and building spaces so they have to face to face with the…

Decisions about how mathematics is communicated--and who gets to communicate that work--influence who has "mathematical authority" in a classroom. But what exactly does that mean, and in what ways can that authority be shared between students and their teacher? In this article, the authors expand on the idea of what it means to have…