Aim/Purpose: This study seeks to present a learning model of discrete mathematics elements, elucidate the content of teaching, and validate the effectiveness of this learning in a digital education context. Background: Teaching discrete mathematics in the realm of digital education poses challenges, particularly in crafting the optimal model,…

Multiple-choice questions (MCQs) are widely used in educational assessments and professional certification exams. Managing large repositories of MCQs, however, poses several challenges due to the high volume of questions and the need to maintain their quality and relevance over time. One of these challenges is the presence of questions that…

This paper provides a case study account of a preservice secondary mathematics teacher's thinking while engaging in slope tasks using dynagraphs. The data included audio recordings and screen captures of a small group of preservice teachers engaging with these tasks, with our analysis focusing on the case of Robin. Despite familiarity using slope…

In numerous studies, intelligent tutoring systems (ITSs) have proven effective in helping students learn mathematics. Prior work posits that their effectiveness derives from efficiently providing eventually-correct practice opportunities. Yet, there is little empirical evidence on how learning processes with ITSs compare to other forms of…

Graphical literacy or graphicacy is a critical component of scientific literacy. Graphs are used to integrate and represent complex sets of information requiring abstraction from perceptual experience. They form essential parts of the Mathematics and Science curriculum across school curricular stages. A key to developing meaningful pedagogic…

Teachers' ability to accurately judge difficulties of mathematical tasks is an essential aspect of their diagnostic competencies. Although research has suggested that pedagogical content knowledge (PCK) is positively correlated with the accuracy of diagnostic judgments, experimental studies have not been conducted to investigate how PCK affects…

Many students who enroll in a first course in linear algebra major in STEM disciplines other than mathematics. Teachers who serve such students may find it difficult to provide authentic problems from these broader areas that ignite students' interest in linear algebra. In this paper, we highlight an interdisciplinary learning activity that…

Network meta-analysis compares multiple treatments from studies that form a connected network of evidence. However, for complex networks, it is not easy to see if the network is connected. We use simple techniques from graph theory to test the connectedness of evidence networks in network meta-analysis. The method is to build the adjacency matrix…

It is well-documented that multiracial college students experience microaggressions in their everyday schooling experiences. However, little research has gone on to place these individual experiences in the overall organizational structure of educational settings. Using a racial formation theoretical frame, we explore how institutions make use of…

Graphing is an important practice for scientists and in K-16 science curricula. Graphs can be constructed using an array of software packages as well as by hand, with pen-and-paper. However, we have an incomplete understanding of how students' graphing practice vary by graphing environment; differences could affect how best to teach and assess…

This work provides a characterization of the learning of graph theory through the lens of the van Hiele model. For this purpose, we perform a theoretical analysis structured through the processes of reasoning that students activate when solving graph theory problems: recognition, use and formulation of definitions, classification, and proof. We…

According to the Workforce Innovation and Opportunities Act of 2014, literacy refers to "an individual's ability to read, write, and speak in English, compute, and solve problems [emphasis added], at levels of proficiency necessary to function on the job, in the family of the individual, and in society" (Title 2, §203). Yet, according to…

This is the fourth in a series of statistical articles for mathematics teachers. In this article, the authors discuss topics in General Mathematics in Unit 2 Topic 1 (Univariate data analysis and the statistical investigation process) and topics in Essential Mathematics, Unit 2 Topic 1 (Representing and comparing data).

Research on integrated writing tasks is increasing, while there is a paucity of empirical findings on graph-based writing, as one type of these tasks. The present study purports to examine the contribution of L2 writing anxiety to university students' graph writing performance and the strategies they employ for these tasks. The participants of…

A phenomenon from the natural world, cricket chirping behavior in relation to ambient temperature, is used as the springboard for engaging the curiosity of gifted students in an interdisciplinary classroom curriculum. Mathematics and science standards and disciplinary practices are prominent in the investigation, while other disciplines deepen the…