Instructional routines, like "Number Talks" and "Notice and Wonder," engage students in doing and then talking about their mathematical thinking. Number Talk routines are short mathematical discussions where students mentally solve and share the strategies they used to make sense of the problem. In comparison, the Notice and…

Limited research has been conducted on the influence of computational thinking (CT) dispositions on students' mathematics performance and engagement at the secondary or junior high school level. This study aims to bridge this research gap by developing CT-integrated mathematics lessons that incorporate CT-focused problem-solving and modeling in…

The ability to think creatively is the ability to generate new ideas, innovative solutions, and unconventional thoughts in response to a situation or problem. Creative thinking involves many aspects, including imagination, association of ideas, mental flexibility, and views that are different from the usual. Creative thinking needs to be grown in…

It is important for teachers and researchers to have access to evidence-based practices that target teaching specific content area skills, such as mathematics, to students with ASD (Hume et al., 2021). Previous literature reviews targeting mathematics interventions for students with ASD (Barnett & Cleary, 2016; Gevarter et al., 2016; King et…

There has been and continues to be a substantial amount of work done to encourage, support, and retain women in mathematics. However, very little has been written about the faculty leading these gender-based initiatives, most of whom are women. This dynamic--women advocating on behalf of other women--is connected to identity-based activist…

Conjecturing has been considered to inspire the need for proof, enhance the understanding of proofs, and construct a valid proof. This study describes students' processes of formulating a Euclidean geometry conjecture in the form of a conditional statement through constructing a geometric figure and using measuring and dragging modalities of a…

In spite of the proliferation of educational technologies, teacher surveys have indicated relatively low levels of technology integration in mathematics lesson delivery in Ghanaian Senior High Schools. This study examined how Senior High School mathematics teachers use the available technology resources in their pedagogy in Ghana. Drawing on the…

When learning about fractions, teaching usually follows certain topics -- e.g. part of the whole, fraction equivalence, and size comparison. Not yet answered is whether students' conceptual and procedural knowledge of fractions is coherent between those topics. To answer this question, we performed a latent profile analysis of data from N = 1005…

This study delves into the intricate relationship between pre-service teachers' (PSTs') Mathematical Knowledge for Teaching Fractions (MKTF) and its influence on their teaching practices. Grounded in the premise that MKTF domains exhibit interconnectivity, shaping the constructs of teaching practices, the study employed the mathematical task…

This qualitative exploratory case study delves into learners' understanding of differentiation through the first principle and power rule. The study adopted the action, process, object, and schema (APOS) theory as a lens to track learners' understanding of these concepts using the activities, classroom discussion, and exercise (ACE) teaching…

Currently there is an attempt to combine subject-generic and subject-specific teaching frameworks to comprehensively capture teaching quality. This study explores the possibility of integrating two widely used and validated frameworks, the subject-generic Dynamic Model of Educational Effectiveness (DMEE) and the subject-specific Mathematical…

In this dissertation, I report results from a study that investigated the impact of students' engagement in a series of tasks in an introductory proof course that was designed to stimulate their learning of reading strategies to support their comprehension of mathematics proofs. Specifically, I investigated the impact of the design of five…

Algebra holds an important role in school mathematics, and teachers must recognize the broad range of algebraic ideas and develop a deep understanding of these concepts to teach algebra conceptually. This study aims to investigate two pre-service middle school mathematics teachers' (PSTs) conceptualization of algebraic thinking before and after…

This study focused on the effects of an early math online professional learning course offered to preschool teachers. The course was designed to inform participants' knowledge of developmental progressions and promote daily mathematics instruction that encouraged students to view their world through a mathematical lens. A survey of preschool…

In the post-pandemic world, metaverse technology has become a popular approach to facilitating students' online learning experiences. Drawing on Kolb's experiential learning theory, we created immersive scenes using CoSpaces Edu, a 'mirror-world' metaverse platform that enables students to observe mathematical properties virtually. We applied a…