Education Commons^™

Gaining Insight Into The Development Of Mathematics Teacher Leaders In Primary Grades: A Multi-Case Study, Susan Katt

Department of Teaching, Learning, and Teacher Education: Dissertations, Theses, and Student Research

Teacher leaders have the potential to influence improved instructional practice for mathematics within elementary schools and thereby student performance. Lamentably, an insufficient number of elementary classroom teachers, specifically those who teach kindergarten, first, and second grades, participate actively in a teacher leader role, which positively impacts teaching and learning mathematics. Therefore, an examination of how professional development plays a role in cultivating new teacher leaders proves to be critical.

In this qualitative multi-case study, I examined a structured professional development opportunity for K–2 teachers designed to promote their leadership. All participants were full-time classroom teachers within an urban, Midwestern public …

Course Portfolio For Math 309: Introduction To Mathematical Proofs - A Peer Review Of Teaching Project Benchmark Portfolio, Josh Brummer

UNL Faculty Course Portfolios

In this course portfolio, I examine dimensions of an active learning curriculum developed for a sophomore-level undergraduate course serving as an introduction to mathematical proofs. Prominent course goals include developing effective practices for communicating mathematics using formal language, learning to read, comprehend, and evaluate the validity of mathematical proofs, and practicing to write rigorous and concise mathematical proofs. I explore a new piece of collaborative annotation software called Perusall to help students read and understand mathematics together, and I analyze mastery level grading scales across exams throughout the semester. The portfolio also contains information about the structure and syllabus for …

Course Portfolio For Math 872: Topology Ii, Alex Zupan

UNL Faculty Course Portfolios

In this course portfolio, I explore tactics for engaging a group of beginning mathematics graduate students taking the second semester of the first-year sequence in topology. Course objectives include computing algebraic invariants of topological spaces, understanding the Galois correspondence between covering spaces and fundamental groups, and using a range of invariants to distinguish spaces. My main instructional tools include a series of three "Activities" tailored to each student, a project involving computing invariants with the program SnapPy and using homology of covering spaces to distinguish 3-dimensional knots, and individual student board work during class periods. The activities served as benchmarks …

Math 314: Linear Algebra-A Peer Review Of Teaching Project Benchmark Portfolio, Xavier Pérez-Giménez

UNL Faculty Course Portfolios

My intention with this portfolio is to present my approach to teaching Math 314. This is a linear algebra course for senior-year undergraduate students in different STEM programs. The course serves as a transition from computational courses, such as calculus, to more theoretical ones, and exposes students, possibly for the first time, to abstract mathematical objects (such as general vector spaces) and simple proofs. Several lecture-based strategies are discussed and evaluated in connection with student learning outcomes. I also present samples of course materials and student work.

Course Portfolio For Math 407 Mathematics For High School Teaching: Refining Conceptual Understanding In A Mathematics Course For Pre-Service Teachers, Alexandra Seceleanu

UNL Faculty Course Portfolios

My intention in this portfolio is to present my approach to teaching an upper-level mathematics course for pre-service secondary level mathematics teachers. Several teaching strategies are discussed in the context of designing a coherent approach to this course, which emphasizes the need for conceptual reasoning above all other goals. These strategies are evaluated and assessed in connection to the learning outcomes using samples of student work from the course.

Also presented are samples of course materials that were used to lead students through an organized discussion of the relevant concepts. These materials convey some basic mathematical knowledge and therefore may …

Secondary Mathematics Teachers’ Literacy Professional Learning: An Amalgamation Of Adolescent Literacy, Mathematics Teaching, And Adult Learning, Janet L. Larson

Department of Teaching, Learning, and Teacher Education: Dissertations, Theses, and Student Research

This study uses practitioner research to examine secondary mathematics teachers’ learning of literacy integration practices in the context of a district-wide literacy professional development series. The author, a secondary mathematics curriculum and instruction facilitator in a large, Midwestern suburban district, engaged in a two-year partnership with seventeen Mathematics Teacher Facilitators (MTFs) who taught literacy practices to their colleagues via a train-the-trainer model. This study provides an explicit rendering of professional development practices and ongoing, job-embedded learning vignettes of six MTF’s experiences in (a) teaching literacy practices to their colleagues and (b) how they learned and enacted these practices in their …

Learning To Teach Mathematics With Reasoning And Sense Making, Amy L. Nebesniak

College of Education and Human Sciences: Dissertations, Theses, and Student Research

This study uses teacher research to examine teacher learning in the context of instructional coaching. The author, a mathematics instructional coach, engaged in an intense three-week coaching relationship with a high school Algebra teacher. A detailed description of the teaching and learning of quadratics that took place during this research provide information about what and how a teacher learns to teach mathematics with reasoning and sense making. Mapping the terrain of quadratics deepened the teacher’s understanding of the mathematical content and encouraged him to adapt his textbook in order to build mathematical reasoning. Through the coaching process, the teacher also …

Diverging Perspectives: A School District's Response To And Instructional Support Application, Sarah Crose

Department of Teaching, Learning, and Teacher Education: Dissertations, Theses, and Student Research

Diverging Perspectives: A School District’s Response To An Instructional Support Application Sarah L. Crose, Ph.D. University of Nebraska, 2009 Advisor: David Fowler The purpose of this descriptive qualitative study is to better understand how teachers and district leaders respond when implementing a technology instructional support application. The study also explores the influences affecting that implementation process. Secondary mathematics teachers who had been presented with the option to implement a web-based instructional software were interviewed to understand their perception of the implementation process. District leaders were interviewed to understand district philosophies and policies influencing technology decision making within the district. Findings …