Education Commons^™

Examining Opportunities For Higher-Order Thinking In Secondary And Middle-Level Proficiency-Based Mathematics Classrooms, Quinton Donahue

Electronic Theses and Dissertations

In 2011, the state of Maine introduced a statute that required all diplomas to be awarded on the basis of proficiency by 2017. During this period of time, school districts moved to incorporate Proficiency-based Education (PBE) systems of instruction and learning. This prompted educators to bring clarity to standards, assessment, and grading practices. In many schools, they also began to focus on the idea that mastery drives movement. Districts were encouraged to integrate higher-order thinking opportunities for students when making these changes to their learning system. Despite this guidance, it is not clear as to the extent that higher-order thinking …

The Impact Of Elementary Mathematics Coaches On Elementary Teachers' Attitudes Towards Teaching Mathematics, Samuel R. Ward

Electronic Theses and Dissertations

This study compares levels of mathematics anxiety and teacher efficacy between inservice and preservice elementary teachers. Prior research has indicated that mathematics anxiety is a common trait among elementary teachers. Mathematics anxiety has also been found to have a negative impact on preservice elementary teachers’ efficacy towards teaching mathematics. To address this challenge, some states have begun hiring elementary mathematics coaches to support elementary teachers. Besides focusing on mathematics anxiety and teacher efficacy, this study also investigated the impacts of elementary mathematics coaches on inservice elementary teachers.

A total of 174 inservice teachers and 51 preservice teachers completed a survey …

Investigating Teachers' Content Knowledge And Pedogogical Content Knowledge In A Middle School Physical Science Curriculum On Force And Motion, Daniel Patrick Laverty

Electronic Theses and Dissertations

Teaching is a profession that requires the incorporation of many types of knowledge in order to create effective instructional experiences that promote student learning. Teachers need to blend their knowledge of the content with the methods for delivering that content and an understanding of their students' thinking. With increasing concern in the United States over student achievement in science and mathematics, there is ongoing discussion about which elements of teacher knowledge most directly correlate with effective instruction. How do specific strands of teacher knowledge blend to influence student learning outcomes? This study explores the roles of teacher content knowledge (CK) …

Student Application Of The Fundamental Theorem Of Calculus With Graphical Representations In Mathematics And Physics, Rabindra R. Bajracharya

Electronic Theses and Dissertations

One mathematical concept frequently applied in physics is the Fundamental Theorem of Calculus (FTC). Mathematics education research on student understanding of the FTC indicates student difficulties with the FTC. Similarly, a few studies in physics education have implicitly indicated student difficulties with various facets of the FTC, such as with the definite integral and the area under the curve representation, in physics contexts. There has been no research on how students apply the FTC in graphically-based physics questions.

This study investigated student understanding of the FTC and its application to graphically-based problems. Our interest spans several aspects of the FTC: …