Open Access. Powered by Scholars. Published by Universities.^{®}

- Discipline

- Publication Year

- Publication

- Publication Type

Articles **1** - **14** of ** 14**

## Full-Text Articles in Education

Teaching Statistics For Social Justice - An Autoethnographic Research Report, Sheffield L. Dacia, Sierra Brooks, Basil M. Conway, Ha Nguyen

#### Teaching Statistics For Social Justice - An Autoethnographic Research Report, Sheffield L. Dacia, Sierra Brooks, Basil M. Conway, Ha Nguyen

*Georgia Educational Researcher*

The following autoethnography was completed by two graduate students at University A learning to enact teaching for social justice while building content underpinnings in statistics at University B. The authors present a research base for teaching for social justice followed by a description of their lesson, observations during enactment, and reflection of change in beliefs about teaching for social justice afterward. Findings in this study are shared from the authors’ personal perspectives through the enactment of teaching a lesson for social justice in an undergraduate statistics course at University B. Implications provide encouragement that the inclusion of social justice topics …

Conceptualizing And Interpreting Mean And Median With Future Teachers, Eryn M. Stehr, Ha Nguyen, Gregory Chamblee, Sharon Taylor

#### Conceptualizing And Interpreting Mean And Median With Future Teachers, Eryn M. Stehr, Ha Nguyen, Gregory Chamblee, Sharon Taylor

*Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators*

Mathematical Education of Teachers II (METII), echoed by the American Statistical Association publication, Statistical Education of Teachers, recommended teacher preparation programs support future teachers in developing deep understandings of mean and median, such that middle grades teachers may use them to “summarize, describe, and compare distributions” (Conference Board of Mathematical Sciences, 2012, p. 44; Franklin et al., 2015). Georgia Standards of Excellence require statistical reasoning from students beginning as early as 6-7 years old, including interpretation of measures of center and statistical reasoning about best measures of center (Georgia Department of Education, 2015). This level of understanding and interpretation of …

Meta-Didactical Slippages In A Ninth Grade Mathematics Classroom: A Paradox Of Teaching, Nathan J. Wisdom

#### Meta-Didactical Slippages In A Ninth Grade Mathematics Classroom: A Paradox Of Teaching, Nathan J. Wisdom

*Georgia Educational Research Association Conference*

This paper examines (a) the nature of meta-didactical slippages that occurred in a ninth grade predominantly African American mathematics classroom; and (b) how these meta-didactical slippages affect students’ conceptual understanding on a unit of ninth grade mathematics. A qualitative case study that employed ethnographic techniques of data collection and analysis was conducted. The theory of didactical situations in mathematics (Brousseau, 1997) served as the lens that grounded the interpretation of the data. The study found four themes, which illustrated the nature meta-didactical slippages: (a) over-teaching, (b) situational bypass, (c) language and symbolic representation, and (d) the design of didactical situations.

Exploring Philosophy During A Time Of Reform In Mathematics Education, Kimberly White-Fredette

#### Exploring Philosophy During A Time Of Reform In Mathematics Education, Kimberly White-Fredette

*Georgia Educational Research Association Conference*

Current reforms in mathematics education, including the implementation of the Common Core State Standards for Mathematics, are rooted in a changing vision of school mathematics, one that includes constructivist learning, student-centered pedagogy, and the use of worthwhile tasks. This changing vision challenges not only teachers’ beliefs about mathematics instruction but their philosophies of mathematics as well. This study investigates the processes that four teachers go through as they implement a new task-based mathematics curriculum while exploring their personal philosophies of mathematics. The participants were part of a graduate-level course that examined, through the writings of various modern philosophers of mathematics …

Implementing A Blended Model Of Mathematics Instruction – Issues And Outcomes, Natasha Brewley, Alvina Atkinson, Barry Biddlecomb

#### Implementing A Blended Model Of Mathematics Instruction – Issues And Outcomes, Natasha Brewley, Alvina Atkinson, Barry Biddlecomb

*SoTL Commons Conference*

The session will present issues and results from the implementation of a blended instruction model at the authors' institution. The blended instruction model involves coming together as a class less often and encourages student learning by making them more responsible for their learning outside of the classroom. In addition to describing the authors' home institution, this presentation will have three objectives: (1) Describe the blended instructional model (What is Blended learning and what does it look like?), (2) Present student evaluations. (What have students said about taking a course like this?), and (3) Present quantitative comparisons between blended and traditional …

Paper 3: Extending K-8 Mathematics Concepts In Alternate Bases, Dianna J. Spence

#### Paper 3: Extending K-8 Mathematics Concepts In Alternate Bases, Dianna J. Spence

*Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference*

When learning to represent mathematics with manipulatives, many pre-service K-8 teachers rely on memorized rote procedures to perform the associated mathematical tasks; then they arrange the manipulatives to match their result, often with minimal understanding of underlying mathematical connections. In a Number and Operations course for K-8 pre-service teachers, a portion of the class was conducted in alternate bases: Base 6 and Base 8 Blocks were used to model operations with integers to facilitate deeper understanding of the number systems and arithmetic processes being represented. Fractions and decimals were later covered only in Base 10. On midterm and final exams, …

Paper 5: Embracing The Vision: Our Work With Teachers Implementing Gps, Sarah Ledford, Wendy B. Sanchez, Marian Fox

#### Paper 5: Embracing The Vision: Our Work With Teachers Implementing Gps, Sarah Ledford, Wendy B. Sanchez, Marian Fox

*Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference*

In 2005, three Kennesaw State University mathematics education faculty members began a series of workshops titled “Implementing the Georgia Performance Standards [GPS]: Embracing the Vision.” This workshop series has been underwritten by Georgia’s Teacher Quality Higher Education Program. The first series of workshops began with 6th grade teachers the first year the GPS was implemented and the project has been funded each subsequent year since its inception. Currently, we are working with Math III teachers as they implement the course for the first time. The initial focus for the project was on conceptual understanding versus procedural understanding, writing tasks that …

#### Paper 2: Content Knowledge And Pedagogical Content Knowledge Of Algebra Teachers And Changes In Both Types Of Knowledge As A Result Of Professional Development, Joy W. Black

*Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference*

In seeking to improve the mathematics education of all students, it is important to understand the connection between the content knowledge and pedagogical content knowledge of mathematics and how professionals can influence growth in both of these types of knowledge. We do not have an answer about the interplay of content knowledge and pedagogical content knowledge in successful instructional practices in the mathematics classroom. This study involves assessing the content knowledge and pedagogical content knowledge of secondary teachers of Algebra I. In addition, how are these types of knowledge expressed in instructional practices? Last, how do content knowledge, pedagogical content …

Introducing Interior-Point Methods For Introductory Operations Research Courses And/Or Linear Programming Courses, Goran Lesaja

#### Introducing Interior-Point Methods For Introductory Operations Research Courses And/Or Linear Programming Courses, Goran Lesaja

*Department of Mathematical Sciences Faculty Publications*

In recent years the introduction and development of Interior-Point Methods has had a profound impact on optimization theory as well as practice, influencing the field of Operations Research and related areas. Development of these methods has quickly led to the design of new and efficient optimization codes particularly for Linear Programming. Consequently, there has been an increasing need to introduce theory and methods of this new area in optimization into the appropriate undergraduate and first year graduate courses such as introductory Operations Research and/or Linear Programming courses, Industrial Engineering courses and Math Modeling courses. The objective of this paper is …

Paper 3: Actively Engaging Pre-Service Teachers In Geometry And Measurement, Kadian M. Callahan

#### Paper 3: Actively Engaging Pre-Service Teachers In Geometry And Measurement, Kadian M. Callahan

*Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference*

Current work in mathematics education suggests that the learning experiences in which teachers engage during undergraduate study influences their knowledge of and beliefs about mathematics and the ways in which they will teach (Allen, et. al., 2008; CBMS, 2001; Hill, Rowan, & Ball, 2005; National Research Council, 2001). However, very little is known about pre-service teachers’ learning experiences and how those experiences influence their thinking about mathematics teaching and learning. The classroom excerpt described here attempts to illuminate how pre-service, elementary teachers’ active engagement in the learning of geometry and measurement influences their mathematical power: a positive disposition toward mathematics, …

Paper 2: Virtual Vs. Concrete Manipulatives In Mathematics Teacher Education: A Call For Research, Annita W. Hunt

#### Paper 2: Virtual Vs. Concrete Manipulatives In Mathematics Teacher Education: A Call For Research, Annita W. Hunt

*Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference*

Are virtual manipulatives as effective as concrete (hands-on) manipulatives to build conceptual understanding of number concepts and relationships in pre-service middle grades teachers? In the past, the use of concrete manipulatives in mathematics courses for Clayton State University’s preservice middle grades teachers has proven to be a very effective way to build conceptual understanding of a variety of mathematical topics. This paper presents an argument for the need for research into the usefulness of virtual manipulatives for enhancing mathematics teacher education and their potential to supplement (or replace?) concrete manipulatives.

Paper 3: Using Technology To Design Teaching Modules In Mathematics And Science, Ollie Irons Manley

#### Paper 3: Using Technology To Design Teaching Modules In Mathematics And Science, Ollie Irons Manley

*Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference*

Technology is changing the way in which mathematics and science are taught, and this radical transformation in teaching is causing teachers to take a closer look at how lessons are designed. In an effort to demonstrate how to design instructional modules using technology, this paper will include the following: 1)A review of the National Educational Technology Standards for teachers to establish a framework for the development of the teaching modules; 2)instructional designs and techniques with special emphasis on multiple intelligence and critical thinking skills; 3) strategies and techniques for infusing technology into a standard based curriculum; and 4) an analysis …

Reconceptualizing Mathematics Education, Melinda Ann Smith

#### Reconceptualizing Mathematics Education, Melinda Ann Smith

*Legacy ETDs*

This dissertation is to explore theoretically mathematics education in the United States and the need for reconcepualizing mathematics education. Mathematics education needs reconceptualizing because students know very little mathematics by the time they graduate from high school. Mathematics has become a subject to be feared and dreaded for centuries. High school teachers blame middle school teachers, middle school teachers blame elementary teachers, and elementary teachers blame parents for their students' lack of preparedness in mathematics. Elementary teachers express frustration in teaching mathematics because of their own lack of content knowledge and lack of preparation for the mathematics component of their …

A Study Of Elementary Teachers' Abilities, Attitudes, And Beliefs About Problem Solving, Nancy Mullins Brown

#### A Study Of Elementary Teachers' Abilities, Attitudes, And Beliefs About Problem Solving, Nancy Mullins Brown

*Legacy ETDs*

Problem solving has been alternately viewed as the justification for the study of mathematics or as the impetus and means for studying mathematics. This study examines characteristics—attitudes toward problem solving, beliefs about problem solving, and abilities to solve problems—of elementary teachers of grades three, four, and five that relate to problem solving.

Participants completed a two-part survey to quantify their attitudes and beliefs and a problem-solving activity which quantified their problem-solving abilities. Four participants were subsequently interviewed. Analyses showed that these teachers had generally positive attitudes toward problem solving, generally positive beliefs about problem solving, and generally poor problem-solving abilities. …