What is questioned and what is taken for granted when carrying out research into the teaching of a given mathematical topic such as Group Theory? This paper presents two different questioning procedures using the methodological tools provided by the Anthropological Theory of the Didactic (ATD). The first one, leading to an undergraduate…

Statistical thinking partially depends upon an iterative process by which essential features of a problem setting are identified and mapped onto an abstract model or archetype, and then translated back into the context of the original problem setting (Wild and Pfannkuch, Int Stat Rev 67(3):223-248, 1999). Assessment in introductory statistics…

Contemporary scholars describe mathematical modeling as a transformation of a real-world problem to a mathematical problem and back again. This paper treats a critical issue in the modeling process: how modelers determine if the transformation from the real world to mathematics was carried out well. I present an empirically derived typology of…

Background: Implementing research-based teaching practices has been repeatedly cited as an important factor for student success in university mathematics courses. Many research-based practices increase the amount of student-student and/or student-instructor interaction. However, some instructors are hesitant to implement such practices because…

Purpose: This study aimed to explore students' higher-order thinking skills development when they engaged in pattern blocks learning activities using Blended Learning Classroom teaching approaches through the Thailand Lesson Study Incorporated Open Approach model. Design/methodology/approach: The researchers utilized a multiple case research…

As soon as a new technology emerges, the education community explores its affordances and the possibilities to apply it in education. In this article, we analyze sessions with ChatGPT around topics in basic linear algebra. We reflect on the affordances and changes between two versions of ChatGPT since its worldwide publication in our area of…

We recorded the percentage of students voting on each option on every clicker question used in 19 introductory statistics classes. To identify the questions that provide the most useful feedback, we looked for those for which the percentage of students voting correctly varied the most from class to class, producing the largest standard deviations.…

The study examines the impact of APOS theory on students' achievement in Elementary Linear Algebra (ELA) in accordance with their adequate prior knowledge (APK) and inadequate prior knowledge (IAPK). The mixed methods were used to determine the problem-solving test in ELA. Data were obtained from 65 industrial engineering students at Andalas…

The aim of this research was to study and investigate first year university calculus students' misconceptions about how to use the definition of limit to find the first derivative of functions and then remediate these misconceptions by using APOS theory (Action, Process, Object, and Schema). Students (n = 82 female and male) were selected based on…

Teaching and learning of differential equations (DEs) have a prominent role in all the fields of education. In spite of its prominence and frequent applications, teaching and learning of DEs is still considered as one of the most difficult, particularly at pre-university level. This is because, the topic of differential equation along with…

The revised two-factor study process questionnaire (R-SPQ-2F) has widely been considered valid and reliable in many contexts for measuring students' learning approaches. However, its cultural specificity has generated considerable discussion, with inconclusive results when translated to different languages. This paper provides more insights into…

Smart classroom is a technology-based learning that is proposed as a solution to increase the capabilities of students. This mode of teaching and learning make the education system more attractive and interactive, in addition to help educators to develop an engaging session. The objective of this study is to determine the effect of smart…

In the United States (US) and elsewhere across the world, undergraduate mathematics instructors are increasingly aware of the value of inquiry-based instruction. In this research commentary, we describe the intellectual origins and development of two major strands of inquiry in US higher education, offer an explanation for apparent differences in…

Many university statistics instructors are interested in teaching with active-learning approaches in their classrooms. In this article, we attend to active learning in three ways. First, we review how the statistics education community has addressed issues surrounding active learning implementation to date. Second, we describe how our project used…

The purpose of this paper is to capture and analyze students' experiences learning within an Emporium Model (E-Model) of both learning support and introductory college-level mathematics courses. Participants (n =163) were asked their perceptions regarding the E-model approach. Contextual analysis was used to code participants' responses.…