Education Commons^™

The Value Of Problem Posing In Developing Creatively Gifted Mathematicians, Eric L. Mann

Faculty Presentations

The task of problem posing is often overlooked as a means to develop creatively gifted mathematicians. Silver (1997) suggested that problem posing was an instructional tactic used worldwide to develop creativity in mathematicians. More specifically, Silver advocated that deliberate instructional tactics had to be employed to precipitate creative solutions. Problem posing is often correlated with the aesthetic nature of mathematics.

In this cutting-edge session, participants’ objective is to learn about the value of problem posing through a brief presentation and have an opportunity to generate their own mathematical problem solving tasks given a mathematical concept. The intent is to encourage …

Rich Problem Solving Tasks, Valorie L. Zonnefeld

Faculty Work Comprehensive List

No abstract provided.

Critical Thinking And High-Level Discourse: Teaching, Learning, And Professional Development In A 1:1 Environment, Valorie L. Zonnefeld, Ryan G. Zonnefeld

Faculty Work Comprehensive List

No abstract provided.

A Case Study Of How Ninth Grade Mathematics Students Construct Knowledge During A Productive Failure Model, Amy F. Westbrook Dr.

Georgia Educational Research Association Conference

The purpose of this qualitative study was to explain how ninth grade mathematics students at a rural high school in Georgia constructed knowledge through student talk when problem solving using Kapur’s (2012) productive failure design. An embedded case study design was used to understand how a group of students constructed knowledge through their use of talk, persistence during the task, and use of prior knowledge while working on a productive failure modeled task. Triangulation resulted from the collected data from multiple sources, which included videotaping, interviewing, and analyzing student artifacts. Utilization of the constructivist perspectives of Vygotsky (1934/1962), Piaget (1971), …

Examination Of High School Students' Understanding Of Geometry, Brantley Grant Pierce

Master's Theses

Not every student learns geometry instruction the same. Inside today’s classroom, one will find a diverse collection of students with different learning styles, background knowledge, and cognitive abilities. Students with high cognitive skills may sit next to those who struggle to maintain the material of a single subject. It is the job of an educator to accept the students as they are and guide them through a successful academic journey. This process is called Differentiated Instruction. Gregory and Chapman, authors of Differentiated Instructional Strategies: One Size Doesn’t Fit All, state that the term differentiation is a philosophy that allows instructors …

Implementing The Common Core’S Promise Of Bringing Statistical Curricula Into Line With Recommendations Of Nctm, Maa, & Gaise, Beverly Wood, Carl Clark

Publications

We plan to make a case for the necessity of GAISE-aligned college courses in order to prepare future teachers to teach in Common Core K-12 classrooms. Beginning with an overview of the parallel evolutions of Cobb/MAA suggestions - GAISE recommendations for teaching and NCTM process standards - Common Core mathematical practices, we will emphasize that we should be modeling what researchers continually conclude are best practices for teaching/learning across the K-16 continuum. We will provide some examples to illustrate classroom tasks that satisfy both GAISE and Common Core and hope to generate some discussion of other activities already used by …

Calculator Usage In Secondary Level Classrooms: The Ongoing Debate, Nicole Plummer

Honors College Theses

With technology becoming more prevalent every day, it is imperative that students gain enough experience with different technological tools in order to be successful in the “real-world”. This thesis will discuss the debate and overall support for an increased usage of calculators as tools in the secondary level classroom. When the idea of calculators in the classroom first came to life, many educators were very apprehensive and quite hesitant of this change. Unfortunately, more than 40 years later, there is still hesitation for their usage; and rightfully so. While there are plenty of advantages of calculator use in the classroom, …

Middle School Student Perceptions Of Homework In Mathematics, Camille M. Thomas

Honors Scholar Theses

Homework has been a source of debate in schools for the past several decades and will continue to be an important topic in the future. It is a traditional part of education but some debate its importance in the classroom. This study explored student perception of homework and their reported performance in middle school mathematics. The research questions focused on student attitudes about homework, the relationship of students’ self-efficacy and support resources to their homework completion, and the relationship of students’ general level of achievement in mathematics to their attitudes about homework. The study involved a survey of 230 middle …

Moving Toward Equitable, Accessible, And Relevant Mathematics For All. A Book Review Of Rethinking Mathematics: Teaching Social Justice By The Numbers, Lauren Provost

Democracy and Education

A book review of Rethinking Mathematics: Teaching Social Justice by the Numbers, edited by Eric Gutstein and Bob Peterson.

The Role Of Teachers In Ability-Tracked Mathematics Classrooms, Danyelle M. Doldoorian

Senior Theses and Projects

Tracking, or ability grouping, is a salient feature of the American education system. As opposed to most studies on tracking which investigate student achievement and student experiences, this study investigates the role of teachers in a tracked curriculum. The goals of this study are to discover how teachers feel about tracking and to understand how teachers operate their classrooms with respect to the different ability groups. I conducted observations of tracked middle and high school mathematics classrooms and directed interviews with the teachers of these tracked classes. I found that teachers alter their language, classroom pace, quality of review, and …

The 'Literacy' Idea, Ross Turner

Assessment GEMS

A central reason why researchers and practitioners refer to domain literacy is to draw attention to the kinds of things students learn in the domain. In a traditional learning domain the focus might be on the acquisition of discrete facts, skills and procedures that have little obvious connection or utility. In a learning domain with a literacy orientation, the focus is on applying the domain’s facts, skills and procedures to support creativity and inventiveness, to solve novel problems and to deal with the kinds of challenges that life presents outside the classroom. In the case of mathematics, for example, a …

The Efficacy Of Mathematics Education, Eric Geimer

The STEAM Journal

Evidence supports the notion that mathematics education in the United States is inadequate. There is also evidence that mathematics education deficiencies extend internationally. The worldwide mathematics education deficit appears large enough that improving student performance in this educational problem area could yield great economic benefit. To improve the efficacy of mathematics education, education’s root problems must first be understood. Often supposed educational root problems are considered and contrasted against potential deficiencies of mathematics methodologies and curricula that are based on mainstream educational philosophies. The educational philosophies utilized to form early-grade mathematics methodologies and related curricula are judged to be the …

Mathematics Achievement With Digital Game-Based Learning In High School Algebra 1 Classes, Terri Ferguson

Doctoral Dissertations and Projects

This study examined the impact of digital game-based learning (DGBL) on mathematics achievement in a rural high school setting in North Carolina. A causal comparative research design was used in this study to collect data to determine the effectiveness of DGBL in high school Algebra 1 classes. Data were collected from the North Carolina End-of-Course (EOC) Test for high school Algebra 1. The data collection was broken down by comparison groups based on academic achievement as measured by the North Carolina EOC Test for Algebra 1. The comparison groups were student participants who received digital game-based instruction and tradition instruction …

Is There A Difference In Motivation And Mathematics Self-Efficacy Among Online Mathematics Instructional Video Viewers, Charles Edgar Hampton

Instructional Technology Education Specialist Research Papers

Researching US K-12 STEM proficiency reveals severe and widespread consequences, for post-secondary and vocational environments. Sources in both environments cite lack of skills and competency as the major cause of increasing remedial mathematics enrollment and growing unemployment. One reasonable and simple method of better preparing students is the viewing online mathematics instructional videos. Online mathematics instructional videos are widely available, efficacious, and free to access via KhanAcademy.org and YouTube’s Education portal. Mobile, personal, and desktop technology device ownership and free WIFI or reduced price Internet service is increasing dramatically each year, so means of access are not a problem. This …

What’S Art Got To Do With Math?, Eric L. Mann

Faculty Publications

No abstract provided.

Measuring Student Satisfaction In Online Math Courses, Antoinette M. Davis

Theses and Dissertations--Curriculum and Instruction

Colleges and universities worldwide have struggled to find a way to measure student satisfaction in online courses. This study examined the growth of math courses that are delivered in the online format. This study aims to address many gaps in the research literature concerning distance education using technology. In particular, it is the intention of this study to investigate satisfaction and performance of students as a result of taking online courses.

There has been an expanding concern over whether students are satisfied and can perform well in courses taken in an online environment. Satisfaction and performance in distance education have …

Classworks As A Means To Gaining Equity In The General Education Math Classroom: Perceptions Of Students Receiving Special Education Services, Diane Marshall

Electronic Theses and Dissertations

With the importance of math steadily increasing, researchers in the field of special education have made efforts to increase the performance of students with disabilities (Fuchs et al., 2008; Gersten, Jordan, & Flojo, 2005). Despite the deficits these students face, the trend has been for many years that most students with disabilities in math receive their instruction in the general education classroom. The purpose of this study was to examine the perceptions that students receiving special education services have regarding the effectiveness of Classworks, a computer-assisted instructional program, in helping them gain equity in the general education math classroom. Critical …