In most mathematics textbooks, each lesson is followed by a set of homework problems in one of two ways -- blocked practice and mixed practice. Additionally, most mathematics textbooks rely on a common learning strategy called overlearning, that is, mastering a skill and continuing to practice this same skill. This study investigated the effects…

Objective: When students learn or solve problems, attentional resources are depleted; rest breaks may restore cognitive functioning in support of learning. Research framed by attention restoration theory holds that exposure to natural environments may be another means to restore attentional resources. The study investigated the effects of…

The measurement instruments are part of assessment the teacher uses in assessing the learner's learning process and outcomes. So, it is very necessary to prepare teacher students for their future as teachers. The objectives of this research were 1) to develop guidelines on construction of mathematical skill and process instruments, 2) to develop…

This work presents an evaluation of a unified Calculus 1 course in a large Brazilian federal university. By course unification we mean having all the sections following the same weekly schedule, under the same syllabus and common assessment. We analyse two sets of data: pass rates relative to the 9 semesters prior to the unification and to the…

This article explores the implementation of Olga Torres's Rights of the Learner (Torres's RotL) framework in a 100-level undergraduate mathematics course, particularly focusing on assessment practices. Torres's RotL framework offers a means to center students' voices, mathematical thinking, and humanity in the classroom. The article delves into…

In an online asynchronous vector calculus course, we observed exam answers solved with a formula from online homework instead of the formula from lecture. Our exploratory study investigated (1) why students learned from homework instead of lecture for this topic and (2) their epistemological frames (e-frames) for lecture and homework. Per (1),…

E-tutorial learning aids as worked examples and hints have been established as effective instructional formats in problem-solving practices. However, less is known about variations in the use of learning aids across individuals at different stages in their learning process in student-centred learning contexts. This study investigates different…

This paper shares findings from the study of a learning sequence designed to support prospective elementary teachers (PTs) in identifying evidence of conceptual understanding and procedural fluency. Conceptual understanding and procedural fluency are widely recognized as important to teaching and learning mathematics, and identifying evidence of…

As university instructors update modes of teaching and student engagement in STEM classes, concerns often arise about student resistance to different methods of teaching and learning. This research examines what it looks like from a student perspective to experience a shift in attitude by exploring the case of Dane, a white male student who…

Proof is a key indicator for a student in developing mathematical maturity. However, in the process of learning proof, students have the difficulty of being able to explain the proof that has been compiled using good arguments. So we need a strategy that can put students in the process of clarifying proof better. One strategy that can explore…

As most courses turn into distant formats, what are the benefits and hindrances of conducting university math courses using multiple technologies? In this e-learning environment, are content-neutral platforms necessary for teaching and learning in these classes? Specifically, what activities on the Moodle e-learning platform are more effective…

This book is about promising research advancements that sparked directly or indirectly from intellectual contributions by distinguished internationally recognized mathematics educator and researcher, Edward A. Silver. The features of this book include: (1) A focus on the research areas that have benefited from Dr. Silver's intellectual…

Professional organisations have provided recommendations for prospective elementary teachers (PTs) to engage in mathematics coursework designed for teachers. In this study, 37 syllabi obtained from instructors of these courses -- termed Mathematics Content for Elementary Teachers (MCfET) courses in this paper -- were analysed through the lens of…

Students' approaches to learning are heavily researched in higher education and are of particular concern in the field of mathematics where many students have been found to struggle with the transition to university mathematics. This article outlines a mixed methods study which sought to describe undergraduate mathematicians' approaches to…

The variability effect occurs when learners' exposure to highly variable tasks results in better learning. It was hypothesised that learners who studied high variability worked examples would obtain higher post-test scores compared to learners who studied low variability examples, and learners who self-generated problem solutions for the same high…