Education Commons^™

A Conceptual Framework For Student Understanding Of Logarithms, Heather Rebecca Ambler Williams

Theses and Dissertations

In the past, frameworks for what it means for students to understand elementary mathematical concepts like addition have been well-researched. These frameworks are useful for identifying what students must understand to have a good grasp of the concept. Few such research-based frameworks exist for secondary mathematical topics. The intent of this study was to create such a framework for what it means for students to understand logarithms, a topic that has been under-researched up to this point. Four task-based interviews were conducted with each of four different preservice secondary mathematics teachers in order to test a preliminary framework I had …

Mathematically Gifted Students' Experiences Of Challenge With Cognitively Guided Instruction, Kim Krusen Mccomas

Graduate Theses and Dissertations

This study examined to what extent and in what ways mathematically gifted students were challenged in two elementary classrooms taught by exemplary teachers using the principles of Cognitively Guided Instruction (CGI). The two case studies included a third grade class and a fourth/fifth split grade class, with five mathematically advanced participants from each grade. A top tier and a second tier of mathematically advanced students were identified, with the top tier of five students identified as mathematically gifted. Classroom observations of CGI math lessons, interviews with students and teachers, and analysis of students' problem-solving strategies were conducted over a five …

Navigating The Challenges Of Helping Teachers Use Data To Inform Educational Decisions, Kelli Thomas, Douglas Huffman

Administrative Issues Journal

In this paper we present a model of collaborative evaluation that has been used to engage teachers in data-based decision making for improving teaching and learning in mathematics and science. We examine three external challenges that threaten the process of continuous school improvement; namely, making sense of data, policy changes, and curriculum changes. In addition, we describe how the collaborative evaluation model facilitated progress beyond these challenges.

Democracy And School Math: Teacher Belief-Practice Tensions And The Problem Of Empirical Research On Educational Aims, Kurt Stemhagen

Democracy and Education

This article describes an empirical project that studied fourth-through-eighth-grade math teachers’ beliefs about teaching and learning and about the role of teaching and learning in broader society. Specifically, it examined relationships between teachers’ reported beliefs and their use of transmittal, constructivist, and democratic classroom practices. The article concludes with consideration about the difficulties inherent in attempting to use empirical research to study our broad educational aims, particularly our democratic ones.

Mapping The Road To Instructional Coach Effectiveness: Exploring The Relationship Between Instructional Coaching Efficacy, Practices, And Outcomes, Marsha Mccrary

Middle-Secondary Education and Instructional Technology Dissertations

Despite the presence and potential impact of instructional coaches, many schools are not experiencing significant improvements in teachers’ practices or student achievement. In gaining more insight into forces that impact instructional coach effectiveness, this study (a) explored the relationship between sources of instructional coaching efficacy and dimensions of instructional coaching efficacy [Mathematics Content & Mathematics-Specific Pedagogy (ME), Student Centered & General Pedagogy (SE), Interpersonal & Communication Coaching (IE), and Personal Coach Characteristics]; and (b) explored the relationship between dimensions of instructional coaching efficacy and instructional coach outcomes. Participants included teachers (n=144) and their instructional coaches (n=19), from elementary …

Preservice Secondary School Mathematics Teachers' Current Notions Of Proof In Euclidean Geometry, Michael Ratliff

Doctoral Dissertations

Much research has been conducted in the past 25 years related to the teaching and learning of proof in Euclidean geometry. However, very little research has been done focused on preservice secondary school mathematics teachers’ notions of proof in Euclidean geometry. Thus, this qualitative study was exploratory in nature, consisting of four case studies focused on identifying preservice secondary school mathematics teachers’ current notions of proof in Euclidean geometry, a starting point for improving the teaching and learning of proof in Euclidean geometry.

The unit of analysis (i.e., participant) in each case study was a preservice mathematics teacher. The case …

A Mathematician Weighs In On The Evolution Debate, Kris H. Green

Journal of Humanistic Mathematics

There are a variety of reasons underlying the lack of public acceptance for the theory of evolution in the United States. An overlooked cause is related to problems with the mathematics curriculum in the K-12 setting. In this essay, we examine this relationship and propose changes to the mathematics curriculum that could improve mathematical thinking while also providing a basis for understanding theories, like evolution, that are poorly understood.

Making Transitions: A Multiple Case Study Of Mathematics Classroom Teaching Reform In China, Lianfang Lu

LSU Doctoral Dissertations

The main purpose of this study is to investigate how teachers implemented teaching reform in secondary mathematics classrooms in China, and to understand the context of teaching transformation in general. Two groups of mathematics teachers were included in this study. One group was involved in a leadership project led by university-based mathematics teacher educators, and the other was engaged in a school teaching experiment led by teacher educators from local education department. In this study, classrooms are viewed as social systems in which the teacher and students are interrelated through communication networks. This study examines the structures, patterns of social …