The retention of fundamental mathematical skills is imperative to provide a foundation on which new skills are developed. Educators often lament about student retention. Cognitive scientists and educators have explored teaching methods that produce learning which endures over time. We wanted to know if using spaced recall quizzes would prevent our…

Inquiry-Based learning (IBL) is a fairly well-known term in the United States (US) describing a range of student-centered or active pedagogical approaches in mathematics. However, the 'big tent' definitions of IBL mean that there is much variation in IBL users' instructional practices, variation which we set out to codify. Cluster analysis of…

A one-degree angle would certainly be difficult to draw accurately, especially without the aid of other tools like a protractor. However, mentally making a one-degree angle in visualized imagination is not only possible, but it is important for students' emergent understandings of angular measure. When students begin learning about length,…

Culture-based mathematics learning (C-bMLI) has emerged as a promising approach to improving students' mathematical skills, yet previous research presents inconsistent findings regarding its efficacy compared to conventional methods. To address this gap, a meta-analytic study is needed to consolidate and present the latest insights regarding the…

This study aims to examine the roles of tactile materials and origami models in the perception of concept definitions and representations in geometry applications of individuals with visual impairments. This case study draws on data from eight individuals with visual impairments selected according to the purposive sampling method in a mathematics…

Teachers are implementing flipped instruction in an increasing number of mathematics classes but the research base is not yet well developed on this topic. Many studies of flipped instruction in mathematics have involved a small number of classes utilizing flipped instruction being compared to classes with non-flipped instruction, but this study…

The work in this dissertation is presented in two parts. The first part (Chapters 3 and 4) details work relating to students' explanations of reaction mechanisms in organic chemistry. The second part (Chapters 5 and 6) details work relating to the evaluating the uptake of research-based instructional practices in introductory chemistry,…

Postsecondary institutions are redesigning the ways in which they offer remedial courses to support students' progress and eventual success in college more effectively A corequisite approach places students assessed as marginally remedial directly into college-level courses but provides them with additional academic support. The rationale is that…

A long-standing hypothesis in statistics education has posited that instructors could have a large impact on students' attitudes toward statistics. This hypothesis remained untested over the years. Moreover, if instructors do have a large impact on students' statistics attitudes, then there is a need to provide explanations as to what dimensions…

The COVID-19 pandemic shifted higher education online, drawing attention to synchronous learning and instruction on digital communication platforms. Learner-centered teaching practices in the tertiary level, such as mathematical discussions, have been shown to benefit student learning. The interactions involved in online synchronous mathematical…

This study aims to explore how teachers from four countries--France, Israel, Italy, and Germany--manage their teaching--learning activity in the context of lockdown due to the COVID-19 pandemic. About 700 teachers from the four countries participated in this study. They were given an online questionnaire that involved 22 open-ended items, in which…

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…

Despite the existence of extensive literature on functions, fewer studies used sociocultural views to explore the development of student learning about the concept. This study uses a discursive lens to examine whether an instructional approach that specifically attends to particular metalevel rules in the mathematical discourse on functions…

This paper looks at benefits of technology inclusion in global indigenous students' learning. Critical meta-analysis was undertaken of fifteen articles. It was found that Indigenous students learn better through a Culture inclusive curriculum. Technology can be an effective tool in creating a collaborative environment, where students can share…

In 2008, Browder and colleagues published a meta-analysis on mathematics instruction for learners with significant cognitive disabilities and found that most skills taught to these students were only from two of the five strands recommended by the National Council for Teachers of Mathematics (i.e., Number and Operations, and Measurement). A review…