Studies have found that problems exist with respect to elementary school teachers' understanding of proportions and their knowledge of the appropriate methods for teaching the concept. This study aims to help aspiring elementary school teachers form a healthy mathematical identity and deepen their understanding of mathematics. This quantitative…

Barriers to learning can affect educators and students in achieving learning objectives. One of them is the epistemological obstacle caused by the limited context used when a concept is first learned. The purpose of this study was to explore the epistemological obstacles of mathematics students in the concept of limits and functions during online…

The purpose of this pilot study was to determine whether positive results from a word-problem intervention implemented one-to-one contributed to similar outcomes when implemented in small groups of three to four students. Third-grade students experiencing mathematics difficulty (N = 76) were randomly assigned to word-problem intervention (n = 56)…

Our work focuses on the transition from high school to university in the field of calculus. In France, recursive sequences are studied as one of the classical exercises in both institutions. Their studies use different theorems and notions, such as functions, convergence, monotonicity, induction, etc. The work expected at this transition requires…

In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work. We begin by characterizing discrete mathematics and its role in the school curriculum, highlighting themes,…

Since the 2000s, early co-constructive mathematical learning in kindergarten has focused on political discussions and (mathematical-didactic) research. This is because kindergarten is the first place for subject-specific learning, next to socialization in the family. Research on this first institutional learning in the kindergarten often focuses…

Recent policy reforms to the national assessment system in England have altered the way in which teachers undertake assessment. Through an analysis of data from a small-scale interview study with eleven primary teachers in the south and east of England, we examine the ways in which teachers work with assessment software to monitor and track…

The widely used Draw a Scientist Test was revised to focus on statistics and 110 Elementary Statistics students were asked to draw a statistician. In addition, to better understand students' drawings and have some relative comparison, 173 College Algebra students were asked to draw a mathematician. A detailed analysis of students' images and…

The term engagement appears in teacher effectiveness models as well as state and federal legislation, including the most recent reauthorization of the Elementary and Secondary Schools Act of 1965 (ESEA), known as the Every Student Succeeds Act (ESSA), enacted in 2015. Legislators and administrators have charged teachers with engaging all students…

Among the various kinds of learning analytics emerging especially in the latest decade, clicking patterns cover a prominent role, fostered by their success in analyzing several types of data concerning activity on the web. They can be defined as sets of clicks performed by users, in which every set is treated as the basic unit. Few research has…

The current study, a causal comparative quantitative study, examined the relationship between content-based accelerated instruction and the growth of students identified as gifted and talented who enrolled in the participating district's accelerated advanced math class, and how acceleration affected students' growth based on socioeconomic status.…

This study investigates how in-service teachers perceive analyzing their own lower secondary students' written argumentation as useful. The participants were lower secondary school teachers enrolled in a university mathematics teaching program. The teachers planned and conducted a teaching lesson and wrote a report concerning the argumentation in…

Undergraduate mathematics education research focused on Introduction to Proofs courses has gained traction as more students are experiencing challenges in their proof-based courses. While studies have analyzed the teaching and learning of proofs, there is a growing need for research in students' understanding of mathematical logic and set theory…

This study sought to compare the effectiveness of teaching with manipulatives versus algorithms and procedures. Assessment data were collected before instruction, after instruction with algorithms and procedures, and after instruction with modeling and manipulatives. Data were collected from 113 students from the 5th, 6th, and 7th grades within…

New educational technologies that utilize students' interaction data and visualizations provide a means to expand our understanding of learning processes. In this study, we apply two advanced and novel data visualization techniques, called the "Indivisualizer" and a "Sankey diagram," to explore how middle school students (N =…