Curriculum and Instruction Commons^™

A Glimpse Into Secondary Students’ Understanding Of Functions, Jonathan L. Brendefur, Gwyneth Hughes, Robert Ely

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

In this article we examine how secondary school students think about functional relationships. More specifically, we examined seven students’ intuitive knowledge in regards to representing two real-world situations with functions. We found students do not tend to represent functional relationships with coordinate graphs even though they are able to do so. Instead, these students tend to represent the physical characteristics of the situation. In addition, we discovered that middleschool students had sophisticated ideas of dependency and covariance. All the students were able to use their models of the situation to generalize and make predictions. These findings suggest that secondary students …

Teacher Influence On Elementary School Students’ Participation In Science, Technology, Engineering, And Mathematics, Courtney Hartman

Honors College Theses

The purpose of this study is to explore the influence of elementary school teachers on encouraging students’ interest and participation in Science, Technology, Engineering, and Mathematics. The researcher sought to understand what methods teachers use in their classrooms to encourage students to participate in STEM subjects and programs. This mixed methods study consisted of a questionnaire to collect quantitative data, as well as an interview of selected teachers who participated in the questionnaire to collect qualitative data. The data was analyzed to determine the overall perceptions of teachers regarding the importance of encouraging students to participate in STEM. The qualitative …

The Impact Of Math Anxiety In The Primary Grades, Amanda R. Anderson-Mix

Mathematics Graduate Theses

Math anxiety is an increasingly common occurrence among individuals when working with mathematical concepts. While researching math anxiety the author came across common gender stereotypes implying: women do not perform as well as men in the field of mathematics, women experience a much higher level of math anxiety than men, and most women do not appreciate performing mathematical tasks. Although the concept of math anxiety is an interesting topic to the author, it's important to look deeper than simply the question, “What is math anxiety?” Seeing these stereotypical assumptions that women have higher math anxiety levels, it made this author …

Using Context-Aware Ubiquitous Learning To Support Students' Understanding Of Geometry, Helen Crompton

Teaching & Learning Faculty Publications

In this study, context-aware ubiquitous learning was used to support 4th grade students as they learn angle concepts. Context-aware ubiquitous learning was provided to students primarily through the use of iPads to access real-world connections and a Dynamic Geometry Environment. Gravemeijer and van Eerde’s (2009), design-based research (DBR) methodology was used in this study. As a systematic yet flexible methodology, DBR utilizes an iterative cyclical process of design, implementation, analysis, and revision. Using this particular DBR methodology, a local instruction theory was developed that includes a set of exemplar curriculum activities and design guidelines for the development of context-aware ubiquitous …

The Importance Of A Strong Mathematical Foundation, Jasmine M. Wriston

Williams Honors College, Honors Research Projects

The mathematical skills students learn from kindergarten through eighth grade are the foundational skills upon which all higher level mathematics courses build. It is highly beneficial that students master previous mathematics concepts, applications, and skills, prior to learning algebra and other higher level mathematical courses. Mastering elementary and middle level mathematics before learning algebra increases students’ chances for success when taking an algebra course. This study tested 39 ninth and tenth graders, from the college preparatory program Upward Bound, on the mathematical domains of fractions and ratios/proportions. Participants took one of two tests, each composed of three questions increasing in …

Exploring Links Between Pedagogical Knowledge Practices And Student Outcomes In Stem Education For Primary Schools, Peter Hudson, Lyn English, Les Dawes, Donna King, Steve Baker

Australian Journal of Teacher Education

Science, technology, engineering, and mathematics (STEM) education is an emerging initiative in Australia, particularly in primary schools. This qualitative research aimed to understand Year 4 students’ involvement in an integrated STEM education unit that focused on science concepts (e.g., states of matter, testing properties of materials) and mathematics concepts (e.g., 3D shapes and metric measurements) for designing, making and testing a strong and safe medical kit to insulate medicines (ice cubes) at desirable temperatures. Data collection tools included student work samples, photographs, written responses from students and the teacher, and researcher notes. In a post-hoc analysis, a pedagogical knowledge practice …

Effects Of Embedded Study-Skills Instruction On High School Students' Attitudes Toward Mathematics, Alberta Diahann Banks

Walden Dissertations and Doctoral Studies

The target school used embedded study skills in Algebra I classes to improve attitudes toward mathematics. The purpose of this sequential, explanatory mixed-methods study was to examine the effect of embedded study-skills instruction on students' attitudes toward mathematics. Metacognitive theory was used for this study's framework. Participants were 28 Grade 9 and 10 students who repeated Algebra I. Quantitative data from the Attitudes Toward Mathematics Inventory assessed students' pre- and post-instruction attitudes toward mathematics in 4 domains. Data were analyzed using 4 independent samples t tests for students who did and did not receive embedded instruction. Qualitative data were collected …

Research Trends In The Use Of Mobile Learning In Mathematics, Helen Crompton, Diane Burke

Teaching & Learning Faculty Publications

The use of mobile learning in education is growing at an exponential rate. To best understand how mobile learning is being used, it is crucial to gain a collective understanding of the research that has taken place. This research was a systematic review of 36 studies in mobile learning in mathematics from the year 2000 onward. Eight new findings emerged: (1) The primary purpose of most studies was to focus on evaluating mobile learning. (2) Case studies and experimental design were the main research methods. (3) Most studies report positive learning outcomes; (4) Mobile phones were the mobile device used …

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 …

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 …

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 …

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

Democracy & Education

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

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 Transdisciplinary 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 …

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 …

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 …

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

College of Graduate Studies: Theses & 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 …

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: Theses and Other 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 …

Mathematics Interventions: A Correlational Study Of The Relationship Between Level Of Implementation Of The Accelerated Math Program And Student Achievement, Deborah Walker Driesel

Doctoral Dissertations and Projects

Current legislation, such as No Child Left Behind (2001) or the Individuals with Disabilities Education Act (2004), has increased accountability for schools for the education of all students. These laws require schools to provide interventions for struggling learners, as part of the Response to Intervention process (IDEA, 2004). Accelerated Math (AM), published by Renaissance Learning, is a scientifically based program designed to supplement quality instruction as part of the RtI process. This correlational study examined ex post facto data using pre and posttest scores on the STAR Math Test in relation to amount of classroom time dedicated to AM instruction …

Textbooks, Teachers, And Middle School Mathematics Student Achievement, Susan R. Monaghan

Dissertations (1934 -)

The purpose of this study was to extend the research on textbook effectiveness to a situated investigation of a single large urban school district in which middle schools were given a choice in selecting from three textbooks for mathematics instruction: a reform textbook, a commercially produced textbook developed in response to mathematics standards, and a traditional textbook. Its genesis is rooted in the efforts in the mathematics education community to investigate the interaction of teachers and mathematics curriculum materials, but in light of the shift to an accountability policy climate in public education. In particular, this study sought to determine …

Number Of Courses, Content Of Coursework, And Prior Achievement As Related To Ethnic Achievement Gaps In Mathematics, Ernest C. Davenport Jr., Mark L. Davison, Yi-Chen Wu, Se-Kang Kim, Haijiang Kuang, Nohoon Kwak, Chi-Keung Chan, Alicia Ayodele

Journal of Educational Leadership in Action

This study utilized base-year and second follow-up data from the National Educational Longitudinal Study of 1988 to investigate the relationship between eighth-grade math achievement, mathematics course-taking in high school, and twelfth-grade math achievement. Results suggested the following: 1) Type of coursework can be quantified. 2) Type of coursework was more predictive of achievement than amount. 3) There were substantial ethnic achievement differences prior to high school. 4) Number of courses, type of courses, and prior achievement were not equally predictive of twelfth-grade mathematics achievement across ethnic groups. 5) Prior achievement did not equally predict course-taking over ethnic groups in amount …

Scientific Skateboarding And Mathematical Music: Edutainment That Actively Engages Middle School Students, William Robertson, Larry Lesser

Selected Works Temporary Series

Edutainment has recently been a major growing area of education, showing great promise to motivate students with relevant activities. The authors are among innovators who have developed cutting-edge fusions of popular culture and STEM concepts to engage and to motivate middle school students, using vehicles such as music/song and skateboarding. The importance of using relevant and practical methods of instruction and curriculum delivery that build on student interests and increase enjoyment in the learning process are critical at the middle school level, especially in the STEM fields. The use of edutainment in this manner is meant to inspire broader interest …

Scientific Skateboarding And Mathematical Music: Edutainment That Actively Engages Middle School Students, William Robertson, Larry Lesser

Departmental Papers (TE)

Edutainment has recently been a major growing area of education, showing great promise to motivate students with relevant activities. The authors are among innovators who have developed cutting-edge fusions of popular culture and STEM concepts to engage and to motivate middle school students, using vehicles such as music/song and skateboarding. The importance of using relevant and practical methods of instruction and curriculum delivery that build on student interests and increase enjoyment in the learning process are critical at the middle school level, especially in the STEM fields. The use of edutainment in this manner is meant to inspire broader interest …