Games have shown to be great tools for learning a variety of topics, but few games have been developed mathematics topics at the undergraduate level. One possible avenue is to pursue digital game-based learning. The game "Vector Unknown" was designed from a task from the Inquiry-Oriented Linear Algebra (IOLA) curriculum to connect…

Language can alter our mental conceptions of space, time, and categories. While there is compelling evidence that thought can be shaped by syntactic, morphological, and lexical features of a language, less is known about the impact of phonology on thought. This dissertation uses novel objects (alien cartoon figures) and pseudoword names in three…

Recently, with the advancement in 2D imaging techniques and 3D visual sensors such as LiDAR, RGB-D cameras, etc. The use of 2D and 3D data is ubiquitous in various fields like autonomous driving, AR, and VR. Therefore, we are faced with an ever-increasing demand for approaches toward the automatic processing and analysis of data from multiple…

In order for teachers to support students' mathematical thinking, Battista (2004) believed they must identify core mathematical concepts, recognize conceptual frameworks for understanding children's thinking, and use appropriate assessment tasks. In his view, learning trajectories provide teachers with information on children's cognitive abilities…

The study examined the effects of a new game mechanic on collaborative learning and mathematical discourse when playing a digital geometry puzzle game. For this study, two new versions of the game "Noobs vs. Leets" were developed. Both versions of the game teach the concepts of complementary and supplementary angles and the angle sum…

This study explores learning vector addition and demonstrating the understanding of vector addition. Vector addition is a key skill in mathematics and science education, but there is a limited amount of research that focuses on this topic. My study investigates how an instructional design framework "concreteness fading" can be used for…

Negative attitudes toward mathematics can adversely impact student achievement in the subject area. Successful development and implementation of blended learning in high school mathematics has the potential to positively impact student attitudes towards mathematics and towards their ability to do mathematics and student mathematics achievement.…

According to the National Council of Teacher of Mathematics (NCTM) (2000), K-12 students should be given an opportunity to develop their spatial reasoning abilities. One of the topics that may allow students to develop their spatial skills is forming 3-dimensional objects using spinning and extrusion methods. Also, extrusion and spinning methods…

Two people in the same situation may ascribe very different meanings to their experiences. They will form different awareness, reacting differently to shared information. Various factors can give rise to this behavior. These factors include, but are not limited to, prior knowledge, training, biases, cultural factors, social factors, team vs.…

The purpose of the study is to better understand the role of physicality, interactivity, and interface effects in learning with digital content. Drawing on work in cognitive science, human-computer interaction, and multimedia learning, the study argues that interfaces that promote physical interaction can provide "conceptual leverage"…

The overall goal of the present study was to develop, implement, and test the effectiveness of a curriculum designed to improve spatial thinking amongst preschool children. Specifically, the study explored the effects of shape-based training on 4-year-old children's ability to disembed and whether the training transferred to improvement in mental…

How are linguistic and cognitive practices shared among individuals (and more broadly) populations and cultures? Further, how are cognitive strategies shared at the local level? Li and colleagues (Li & Gleitman 2002; Li et al 2011; "inter alia") suggest that the variation observed in reference frame practices among populations of the…

This study uses design-based research (DBR) to develop an empirically-substantiated instructional theory about students' development of angle and angle measure, with real-world connections and technological tools through the use of context-aware ubiquitous learning. The research questions guiding this research are: 1) How do students come to…

This study investigated the effectiveness of two remedial mathematics courses that aimed to (a) present topics conceptually, (b) construct adequate schemata, and (c) introduce students to the culture of mathematics. The topics covered during the two courses were word problems, equivalence, variables and expressions, equations and inequalities, and…

The purpose of this qualitative study was to explore the use of 3-D printed models as an instructional tool in a middle school science classroom for students with visual impairments and compare their use to traditional tactile graphics for aiding conceptual understanding of geoscience concepts. Specifically, this study examined if the students'…