Retention is crucial to the mission of an institution, and University leaders must strategize to increase student persistence. Introductory math can be a gatekeeper or a gateway. Supplemental instruction (SI) can help students' chances of success in math. This study reports on the three-term pilot of an SI program at a private mid-size…

The area under the curve is a fundamental concept for students to build their understanding of the Definite Integral. This research reveals how students comprehend the area under the curve in given contextual problems and how the Hypothetical Learning Trajectory (HLT) can help students find the concept. This research follows the development…

As earlier research results suggest that many mathematics teaching students criticize a missing relevance in their studies, we explore explanations and interrelationships of their relevance assessments. We aim at finding out how one could support the students in attributing relevance to their study programs. A two-fold model for relevance…

We report findings from a longitudinal study of students' beliefs about empirical arguments and mathematical proof. We consider the influence of an 'Introduction to Proof (ITP)' course and the consequences of the observed changes in behaviour. Consistent with recent literature, our findings suggest that a majority of the thirty-eight undergraduate…

Despite research demonstrating positive effects of writing on student achievement, writing-to-learn remains under-utilised in mathematics and mathematics teacher education. In this paper, we explore how writing-to-learn tasks in a mathematics methods course influenced elementary preservice teachers' beliefs about teaching in two domains:…

All students want to talk about ideas that interest them, but often, multilingual learners are not offered high-challenge, high-support opportunities to connect everyday experiences to mathematical ideas. We describe a single class period that connects students' everyday opinions with two-way tables and notions of independence.

This study aimed to determine the relationship between attitude, metacognitive awareness, and mathematics reasoning, as well as investigate the role of metacognitive awareness as a mediator. This study examined data from 378 pre-service teachers in Malaysia. The data were gathered by administering questionnaires and a mathematics reasoning…

In the first part, we investigate Birman, Ko, and Lee's left canonical form of a braid and give a new diagrammatic approach. We use the left canonical form to characterize almost strongly quasipositive braids. In the second part, we investigate students' confidence in mathematics and problem solving skills. Every math instructor has heard students…

Learning transfer has been studied for over a century, though studies are primarily through the lens of the researcher or an expert. The purpose of this project was to better understand the student perspective in transfer by examining how they approached transfer tasks and how these approaches related to classroom instruction. The Actor-Oriented…

The study investigates the knowledge profiles of elementary pre-service teachers (PST) concerning numbers and operations before their professional classroom practice. By validating an instrument through exploratory and confirmatory factor analyses, it identifies and categorizes the PST' performance into distinct profiles based on the mathematical…

Mathematics traditionally has been taught in a way that reifies the cultural belief that it is discrete in nature and, therefore, irrelevant to other content areas and the real world. National Council of Teachers of Mathematics, inclusive of mathematics teacher educators, views this belief as unproductive to learning and has stressed the need for…

This qualitative study aimed to identify the changes in a prospective' conceptions about the nature of mathematical tasks and pedagogy in video cases and to investigate the characteristics of the prospective' professional knowledge and views during task design/modification. The study used the mathematical task demand engagement process, which…

Mathematics is the language and foundation for the science, engineering, and technological fields that define and enhance our lives in the 21st century. Proficiency in math requires problem solving, logical reasoning, and critical thinking skills that are essential to success in college, the workplace, and everyday life. Unfortunately, math has…

Undergraduate students' understanding of function continuity has not been explored broadly in previous research. The relevant findings in the literature are predominantly concerned with calculus students' understanding and misconceptions of continuity. Many of these misunderstandings are tied to the relationships which continuity has with limits…

The purpose of this study is to investigate the reactions students with low interest in mathematics have to multiple mathematics tasks. Interest has been shown to influence students' engagement, motivation, and achievement (Renninger & Bachrach, 2015; Hidi & Harackiewicz, 2000; Kang & Keinonen, 2018). Therefore, understanding what…