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Articles 1 - 5 of 5
Full-Text Articles in Teacher Education and Professional Development
High Cognitive Demand Examples In Precalculus: Examining The Work And Knowledge Entailed In Enactment, Erica R. Miller
High Cognitive Demand Examples In Precalculus: Examining The Work And Knowledge Entailed In Enactment, Erica R. Miller
Department of Mathematics: Dissertations, Theses, and Student Research
Historically, pass rates in undergraduate precalculus courses have been dismally low and the teaching practices and knowledge of university instructors have been understudied. To help improve teaching effectiveness and student outcomes in undergraduate precalculus courses, I have studied the cognitive demand of enacted examples. The purpose of this dissertation is to examine the pedagogical work and mathematical knowledge entailed in the enactment of high cognitive demand examples in a three-part study. To answer my research questions, I conducted classroom observations as well as pre- and post-observation interviews with seven graduate student instructors at a large public R1 university in the …
Course Portfolio For Math 407 Mathematics For High School Teaching: Refining Conceptual Understanding In A Mathematics Course For Pre-Service Teachers, Alexandra Seceleanu
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 …
Teac 308: Teaching Mathematics In The Elementary School–A Peer Review Of Teaching Project Benchmark Portfolio, Amanda Thomas
Teac 308: Teaching Mathematics In The Elementary School–A Peer Review Of Teaching Project Benchmark Portfolio, Amanda Thomas
UNL Faculty Course Portfolios
This portfolio outlines four aspects of the peer review of teaching project, which focused on TEAC 308: Teaching Mathematics in the Elementary School. The first aspect was the explicit articulation of student learning objectives drawn from the National Council of Teachers of Mathematics Principles to Actions: Ensuring Mathematical Success for All (2014). During this project, the nine objectives were aligned with instructional opportunities and assignments with those objectives. In addition to defining these objectives, the portfolio describes analysis of three components: student progress toward developing and demonstrating productive beliefs about aspects of teaching and learning mathematics, student progress across three …
Math 433: Nonlinear Optimization—A Peer Review Of Teaching Project Benchmark Portfolio, Adam Larios
Math 433: Nonlinear Optimization—A Peer Review Of Teaching Project Benchmark Portfolio, Adam Larios
UNL Faculty Course Portfolios
My intention in this portfolio is to highlight various approaches to teaching higher-level mathematics with a programming component that I tried in a course on nonlinear optimization. There is a particular focus on students with little or no previous programming experience. Several case studies are done using "pre- and post-course" surveys which examined items such as student confidence in programming, and particular programming skills. Sample examples and sample homeworks are presented and discussed. Also presented are several materials I designed to lead students into programming and shed light on certain problems. These Materials assume some basic mathematical reasoning and knowledge, …
Teac 451p: Learning And Teaching Principles And Practices (Secondary Mathematics)—A Peer Review Of Teaching Project Benchmark Portfolio, Lorraine Males
Teac 451p: Learning And Teaching Principles And Practices (Secondary Mathematics)—A Peer Review Of Teaching Project Benchmark Portfolio, Lorraine Males
UNL Faculty Course Portfolios
The goal of my peer review portfolio was to better understand how to improve students' learning of how to teach secondary mathematics in reform-oriented ways. Most students that pursue admission into the Secondary Mathematics Teacher Education Program have little to no experience learning mathematics in reform-oriented ways. These preservice teachers (PSTs) were “successful” in mathematics courses in middle and high school, most of them taking honors or accelerated courses. However, many of these PSTs did not have opportunities to engage as active participants in their own learning and develop complex cognitive skills and processes, the focus of reform-oriented instruction. This …