The study investigated first-year preservice teachers' affective, conative, cognitive, social, and physical wellbeing in a mathematics education subject at a regional university in Far North Queensland. Data collected included pre and post surveys with forty-nine preservice teachers, and interviews with preservice teachers and teacher educators.…

Greater flexibility with procedures is known to be associated with greater conceptual knowledge of mathematics and vice versa. In parallel, a student's emotional relationship to mathematics -- i.e. their 'affect' -- is known to influence how they learn and perform in mathematics. For example, a confident student may engage more fully with…

This research brief highlights throughput rates for students enrolled in Disabled Students Programs and Services (DSPS) by disability type. Findings show that throughput rates increased for every disability type from 2015-16 to 2019-20 in both English and mathematics. Evidence supports that AB 705 has resulted in improved outcomes for students…

The transition from school to university mathematics is a challenging process for many students, which is reflected in high dropout rates during the first year at university. Using mediation analysis, we want to shed light on the role of students' attitudes towards mathematics--especially their interest in mathematics and their mathematical…

Virtual learning environments give students more autonomy over their learning than traditional face-to-face classes and require that students adapt the ways they consume and assimilate new information. One theory of this process is self-regulated learning, which is illustrated in Efklides' Metacognitive and Affective model of Self-Regulated…

This study was designed to examine the use of mistakes to promote students' performance in undergraduate Algebra classes by developing a growth mindset. Participants were seventy-four students from three Algebra classes and received one of the three interventions along with regular instruction: (a) growth mindset feedback on mistakes…

University mathematics has been described as a setting that has challenges in inviting everyone to be part of the mathematics community. Thus, university mathematics offers an important context for research on belonging. For this study, we utilised a mixed-methods approach to investigate the various ways mathematics students belong or do not…

The use of fully online (FO) mathematics teaching has been increasing worldwide. Despite claims and findings that mathematics is more challenging to teach FO than face-to-face (F2F), we know little about FO mathematics teaching. In this paper, we address this gap by working to elucidate the differences between teaching in the FO and F2F…

Mathematics is used in the physical sciences to describe and model phenomena, resulting in a unique interface between mathematics and disciplines such as chemistry and physics. This paper focuses on themes emerging from a larger project that investigated how students understand and use mathematics in chemical kinetics, a field of study concerned…

Computer programming and mathematical algorithms are natural partners in the development of programming skills, logical thought, and a deeper understanding of mathematical concepts. We present the details of a course which blends the two at the sophomore level. This course is required of our mathematics majors, but attracts mathematics minors from…

In our modern world, we are inundated and grapple with data daily. As mathematicians, we are often more comfortable discussing the behavior of functions presented analytically, in contrast with the data-driven or tabular presentations of functions ubiquitous in our culture. This paper introduces an entry-level course, Mathematical Modeling and…

The activity described in this paper is based on the idea that reading an introductory undergraduate mathematics text is similar to reading instructions. I want my students to think about how to read when the goal is to learn to complete a task. I give them written instructions for doing a card trick and ask them to complete the trick. The…

This study investigated understanding of and misconceptions with fractions in college students enrolled in a remedial mathematics course. Data were collected from 22 college students for one semester. The analysis of 41 fraction problems revealed that participants' common misconceptions were associated with a lack of understanding of basic…

We describe a lecture-free problem-solving Mathematical Communication and Reasoning (MCR) course that helps students succeed in the Introduction to Advanced Mathematics course. The MCR course integrates elements from Uri Treisman's Emerging Scholars workshop model and Math Circles. In it students solve challenging problems and form a supportive…

In this paper we analyze common solutions that students often produce to isomorphic tasks involving proportional situations. We highlight some key distinctions across the tasks and between the different equations students write within each task to help elaborate the different interpretations of equivalence at play: numerical, transformational, and…