Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Classroom culture (1)
- Cognitive demand (1)
- Collective professional knowledge (1)
- Communities of practice (1)
- Community of learning (1)
-
- Covariational reasoning (1)
- Curriculum (1)
- Elementary mathematics (1)
- Enculturation (1)
- Exponential relationships (1)
- Frame analysis (1)
- Mathematics (1)
- Mathematics education (1)
- Preservice teacher (1)
- Professional development (1)
- Quadratic relationships (1)
- Teaching experiment (1)
- Video case study (1)
Articles 1 - 7 of 7
Full-Text Articles in Entire DC Network
The Role Of Covariational Reasoning In Pre-Service Teachers’ Meanings For Quadratic And Exponential Relationships, Madhavi Vishnubhotla
The Role Of Covariational Reasoning In Pre-Service Teachers’ Meanings For Quadratic And Exponential Relationships, Madhavi Vishnubhotla
Theses, Dissertations and Culminating Projects
Researchers have indicated that students have difficulties recognizing quadratic and exponential change and do not maintain productive meanings for these relationships. Other researchers have documented that students are capable of developing productive meanings for mathematical ideas via covariational reasoning. This dissertation reports the results of an investigation into ways in which preservice teachers can leverage covariational reasoning to develop meanings for quadratic and exponential relationships. I collected data by engaging two preservice teachers in semi-structured clinical interviews and a semester long teaching experiment. My analyses reveal that whereas in the pre-interviews, the participants did not have meanings that supported differentiating …
Bounds For The Number Of Independent And Dominating Sets In Trees, Daniel K. Arabia
Bounds For The Number Of Independent And Dominating Sets In Trees, Daniel K. Arabia
Theses, Dissertations and Culminating Projects
In this work, we investigate bounds on the number of independent sets in a graph and its complement, along with the corresponding question for number of dominating sets. Nordhaus and Gaddum gave bounds on χ(G)+χ(G) and χ(G) χ(G), where G is any graph on n vertices and χ(G) is the chromatic number of G. Nordhaus-Gaddum- type inequalities have been studied for many other graph invariants. In this work, we concentrate on i(G), the number of independent sets in G, and ∂(G), the number of dominating sets in G. We focus our attention on Nordhaus-Gaddum-type inequalities over trees on a fixed …
A Community Of Learning In An Elementary School Mathematics Classroom, Megan Louise Roeder
A Community Of Learning In An Elementary School Mathematics Classroom, Megan Louise Roeder
Theses, Dissertations and Culminating Projects
The goal of this study was to investigate opportunities for cultivating a community of learning in an elementary school mathematics classroom using four guiding principles for productive disciplinary engagement. A community of learning involves teachers and students participating equally in negotiating, sharing, and producing knowledge as co-learners, coteachers, and co-collaborators in the classroom. Characteristics of a community of learning align with effective teaching and learning practices described by national governing bodies and researchers in the field of mathematics education. The essence of a community of learning is beneficial in an elementary mathematics classroom because it invokes deep learning about disciplinary …
A Network Thermodynamic Game-Theoretic Approach To Modeling Amyloid-Beta Aggregation Along Competing Pathways, Joseph Pateras
A Network Thermodynamic Game-Theoretic Approach To Modeling Amyloid-Beta Aggregation Along Competing Pathways, Joseph Pateras
Theses, Dissertations and Culminating Projects
The formation of large AB fibril plaques in the human brain is considered important to the pathogenesis of Alzheimer's disease (AD), as protein aggregation elsewhere in the body underpins many human ailments. Now however, low-molecular weight intermediate AB oligomers, more than large fibrils, are thought to be a primary precursor in early AD etiology. The main obstacle in the study of AD is the lack of understanding we have pertaining to the evolution of the disease in a living brain. For this reason, a thorough study of AB aggregation begs exploration. Prior conjectures and new experiments emphasize the interaction between …
Design Of Strips With Geometry Shapes And Mathematical Analysis, Somia Benali
Design Of Strips With Geometry Shapes And Mathematical Analysis, Somia Benali
Theses, Dissertations and Culminating Projects
In this research, I investigate different methods to create geometric designs for textile strips and study the geometric properties of the involved shapes. I develop three designs that contain circles, squares, and golden spiral pieces with repeating patterns and certain tangencies. One interesting part of the work is to find the tangent points and to calculate the areas of the regions to which different colors maybe assigned. The main figure for Design I is a circle inscribed in a square and that for Design II is a circle inscribed in an isosceles triangle. The last design integrates Golden Spirals into …
Video Case Materials And The Development Of Collective Professional Knowledge, Victoria D. Bonaccorso
Video Case Materials And The Development Of Collective Professional Knowledge, Victoria D. Bonaccorso
Theses, Dissertations and Culminating Projects
The dynamic nature of teaching means that teachers are making in-the-moment decisions on a daily basis. Video case study professional development can be used as a way to provide teachers an opportunity to analyze real teaching scenarios to prepare to make these decisions in practice. While work has been done to reveal the effectiveness of using case studies as a teaching tool, there has not been research conducted to determine if video case studies can be used to foster the development of collective professional knowledge. This study utilizes a particular professional development model using video case studies grounded in the …
Semi-Automated Image Segmentation And Synthesis Of Virtual Samples Using Generative Adversarial Networks And Fuzzy Sets, Reza Vafaee
Theses, Dissertations and Culminating Projects
Data-driven modeling has gained a lot of attention over the past few years. In most cases, such models use a big collection of inputs and the corresponding outputs to find the pattern in data. Prerequisite for applying these models is the availability of a large collection of data. Data-driven modeling has been employed to accomplish many tasks over the years. However, due to the lack of clinical data, the advancement of data-driven modeling in medical imaging has been relatively limited, mainly due to challenges involved with medical data collection and analysis. This is particularly true in ultrasound imaging for assessing …