Science and Mathematics Education Commons^™

The Cognitive & Educational Implications Of Color Use In Drawing To Learn, Juliana F.M. Cantarutti

Undergraduate Honors Theses

Drawing to Learn (D2L) is a learning aid that encourages STEM students to interact with abstract concepts in STEM by sketching. D2L is not an intuitive skill, and researchers strive to provide students with guidelines on how to master this method. One potential way to enhance the D2L method for students is by incorporation of visual cues, specifically color. While many students choose to incorporate color into their models without explicit instruction to do so, we have found no research on: a) why students use color in sketching, b) its effects on D2L. This study used interviews, surveys, and course …

The Stained Glass Of Knowledge: On Understanding Novice Mental Models Of Computing, Briana Christina Bettin

Dissertations, Master's Theses and Master's Reports

Learning to program can be a novel experience. The rigidity of programming can be at odds with beginning programmer's existing perceptions, and the concepts can feel entirely unfamiliar. These observations motivated this research, which explores two major questions: What factors influence how novices learn programming? and How can analogy by more appropriately leveraged in programming education?

This dissertation investigates the factors influencing novice programming through multiple methods. The CS1 classroom is observed as a "whole system", with consideration to the factors present in it that can influence the learning process. Learning's cognitive processes are elaborated to ground exploration into specifically …

Differences In Spatial Visualization Ability And Vividness Of Spatial Imagery Between People With And Without Aphantasia, Anita Crowder

Theses and Dissertations

Mathematics education researchers have examined the relationship between visualization and mathematics for decades (e.g., Arcavi, 2003; Bishop, 1991; Duval, 1999; Fennema & Tartre, 1985; Presmeg, 1986). Studies have linked spatial visualization ability, such as measured in mental rotation tasks, directly to mathematics self-efficacy (Pajares & Kranzler, 1995; Weckbacher & Okamoto, 2014), which in turn influences mathematics achievement (Casey, Nuttall, & Pezaris, 1997). With the important role that spatial visualization plays in learning mathematics, the recent identification of congenital aphantasia (Zeman, Dewar, & Della Sala, 2015), which is the lack of mental imagery ability, has raised new questions for mathematics education …

Exploring And Training Spatial Reasoning Via Eye Movements: Implications On Performance, Victoria A. Roach

Electronic Thesis and Dissertation Repository

This dissertation sought to determine if eye movements could serve as an indicator of success in spatial reasoning, and if eye movements associated with successful completion could be applied to strategically improve spatial reasoning.

Using the line images of Shepard and Metzler, an electronic test of mental rotations ability (EMRT) was designed. Two versions of the test were created, allowing for both a timed (6 seconds per question) and untimed testing environment. Four experiments were designed and completed to relate mental rotation ability (MRA) scores from the EMRT, to patterns in chrononumeric and visual salience data. In each experiment, participants …

The Phenomenon Of Abstract Cognition Among Scholastic Chess Participants: A Case Study, Brent C. Laws

Electronic Theses and Dissertations

A qualitative investigation was conducted to explore the phenomenon of abstract cognition among a purposive sample of 5 secondary scholastic chess club participants. The case study enabled the researcher to explore the faculties of abstract cognition among students of contrasting skills and abilities in playing chess. The study also allowed for the consideration of potential visual-spatial, logical, academic, social competency and life benefits of chess play. Through analysis of interviews, chess simulations, blindfold chess play, and narration of chess lines and sequences, the investigator was able to extract meaning and code schemata into a holistic understanding of the phenomenon of …

Bilingualism And Math Cognition, Michelle M. Guillaume

UNLV Theses, Dissertations, Professional Papers, and Capstones

Within cognitive psychology, the fields of bilingualism and math cognition have been investigated relatively separately from one another. Although there has been a substantial amount of research conducted in both areas, few studies have examined mathematical processes as they relate to bilinguals. A couple of the traditional effects found in the math cognition literature, the problem size and associative confusion effects, have been studied with bilinguals; however, bilingual categorization was not carefully controlled for in those studies. There have also been mathematical models applied to bilingual samples; one such model is the encoding-complex model, which has been extended to Chinese-English …

Exploring Some Inattended Affective Factors In Performing Nonroutine Mathematical Tasks, John Douglas Butler

Master's Theses, Dissertations, Graduate Research and Major Papers Overview

Describes students' attempts to solve nonroutine math problems and explores possible correlates of their performance, focusing on inattended (i.e., intentionally avoided) dimensions underrepresented in the literature, including attitudes, interests, values, aesthetics, metacognition, and representation. Analyzes objective and subjective data gathered from a sample of 9th-grade students at a high school in Rhode Island. Finds strong evidence of students' math-aesthetics in problem solving.