Education Commons^™

Making Upper-Level Math Accessible To A Younger Audience, Allyson Roller

WWU Honors College Senior Projects

Symmetry is all around us. It appears on fabrics and on the buildings that surround us. Believe it or not, there is actually quite a bit of math that goes into generating these patterns, which are known as the seven frieze patterns. In my work, I explain how each unique pattern is generated using different types of symmetries. I also created a PDF of a children’s book about frieze patterns to ensure that people of all ages have the opportunity to learn about seemingly complex patterns.

The Effect Of Augmented Reality On Learning In The Mathematics Classroom, Justin Thomas Maffei

Doctoral Dissertations and Projects

This study examined the impact of two treatments, augmented reality or concrete materials, on the Geometry knowledge of high school students. Participating classes were chosen from two secondary schools between two rural Virginia school districts. The sampling method selected for the study employed a convenience sample. There were 87 total participants in the study. The importance of this study emerged from a lack of research relating the use of augmented reality in the classroom to its effect on student learning. The purpose of this quantitative pretest-posttest, non-equivalent control group quasi-experimental study was to evaluate the difference in achievement scores, as …

How To Calculate Pi: Buffon's Needle (Non-Calculus Version), Dominic Klyve

Pre-calculus and Trigonometry

No abstract provided.

Sliding Into An Equitable Lesson, Kelley E. Buchheister 6872059, Christa Jackson, Cynthia E. Taylor

Department of Child, Youth, and Family Studies: Faculty Publications

A kindergarten teacher uses Gutierrez's four dimensions of equity to design and facilitate geometry instruction.

Equitable instruction is reflected in how students are positioned in the classroom and how their identities evolve through purposeful interactions that value and recognize the intellectual capacity of each student (Gutiérrez 2013; Lemons-Smith 2008). These integral interactions occur when teachers and students exchange problem-solving strategies, discuss relations among various mathematical representations, and listen to the viewpoints of others (NCTM 2000; 2014).

Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett

Number Theory

No abstract provided.

Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett

Number Theory

No abstract provided.

Using Mobile Learning To Supports Students' Understanding In Geometry: A Design-Based Research Study, Helen Crompton

Teaching & Learning Faculty Publications

The use of mobile learning offers new affordances to teaching and learning. In this study, students from two fourth grade classes used iPads in dyads and groups to learn about angle. Using a design-based research methodology, which included observations, video, researcher journals, and artefact collection, a local instruction theory was developed on how students can learn about angle concepts through mobile learning activities. The local instruction theory is comprised of two components: (a) a seven lesson curriculum for 4th grade students on developing an early understanding of angle utilizing a mobile learning approach, and (b) additions to the scholarly theories, …

The Exigency Of The Euclidean Parallel Postulate And The Pythagorean Theorem, Jerry Lodder

Geometry

No abstract provided.

How Do They Know It Is A Parallelogram? Analysing Geometric Discourse At Van Hiele Level 3, Sasha Wang, Margaret Kinzel

Mathematics Faculty Publications and Presentations

In this article, we introduce Sfard's discursive framework and use it to investigate prospective teachers' geometric discourse in the context of quadrilaterals. In particular, we focus on describing and analysing two participants' use of mathematical words and substantiation routines related to parallelograms and their properties at van Hiele level 3 thinking. Our findings suggest that a single van Hiele level of thinking encompasses a range of complexity of reasoning and differences in discourse and thus a deeper investigation of students' mathematical thinking within assigned van Hiele levels is warranted.

Implementing Common Core State Standards For Mathematics Through Lesson Study, John Thomas Hall

Honors Program Projects

The Common Core State Standards for Mathematics (CCSSM) represent the beginning of a new era in American education. For the first time, a majority of states are sharing expectations for student knowledge in mathematics. While standards cannot change education, the means by which these standards are implemented contribute to the mathematical achievement of students. For instance, the CCSSM incorporate separate content and practice standards for students. Content standards are familiar to most educators, but the expectation of developing mathematical skills highlighted in the practice standards will require changes to lesson preparation and teaching.

In an effort to provide pre-service and …

A Comparison Of Christian School And Public School Geometry Teachers Concerning The Beliefs Of Practices And Teaching Proofs, Benjamin Lane

Doctoral Dissertations and Projects

Theorists contend that mathematics teachers' beliefs influence their practices; consequently, differing Christian and public school philosophies should lead to different practices. However, some researchers have questioned if Christian education is "truly distinct" from public education. Other researchers have noted that this question is still open and that the philosophical differences between Christian and public school teachers might not be translating into differences in practices. A causal-comparative study was conducted between Christian and public school geometry teachers to investigate these differences. This study took place in Florida and Georgia using an instrument designed to measure four different aspects of teaching geometry …

The Introduction Of Proof In Secondary Geometry Textbooks, Samuel Otten, Lorraine Males, Nicholas J. Gilbertson

Department of Teaching, Learning, and Teacher Education: Faculty Publications

Explicit reasoning-and-proving opportunities in the United States are often relegated to a single secondary geometry course. This study analyzed the reasoning-and-proving opportunities in six U.S. geometry textbooks, giving particular attention to the chapter that introduced proof. Analysis focused on the types of reasoning-and-proving activities expected of students and the type of mathematical statement around which the reasoning-and-proving took place, be it general or particular. Results include the fact that reasoning-and-proving opportunities in student exercises were predominantly of the particular type, whereas textbook exposition most commonly had general statements. Within the chapters introducing proof, opportunities for students to develop proofs were …

The Effects Of The Use Of Technology In Mathematics Instruction On Student Achievement, Ron Y. Myers

FIU Electronic Theses and Dissertations

The purpose of this study was to examine the effects of the use of technology on students’ mathematics achievement, particularly the Florida Comprehensive Assessment Test (FCAT) mathematics results. Eleven schools within the Miami-Dade County Public School System participated in a pilot program on the use of Geometers Sketchpad (GSP). Three of these schools were randomly selected for this study. Each school sent a teacher to a summer in-service training program on how to use GSP to teach geometry. In each school, the GSP class and a traditional geometry class taught by the same teacher were the study participants. Students’ mathematics …

Investigating The Relationship Between High School Technology Education And Test Scores For Algebra 1 And Geometry, Richard R. Dyer, Philip A. Reed, Robert Q. Berry

STEMPS Faculty Publications

The standards-based reform movement in education that began in the 1980s has evolved. In the 1990s, the focus was on producing subject-area content standards and modifying instruction. Today, the focus has shifted to assessment, and for technology education, demonstrating the impact on children and the efficacy of the discipline within general education. The purpose of this study was to compare the Standards of Learning (SOL) End-of-Course mathematics performance of high school students who completed courses in illustration and design technology to students who have not completed an illustration and design technology course. The following research questions were developed for this …

Space To Play: Games And Activities For Spatial Concepts In Primary School Children, Helen Mansfield (Ed.)

Research outputs pre 2011

Spatial concepts are amongst the most important mathematical concepts that young children develop. Ideas of shape, size, and position are part of the young child's mathematical world from the very beginning. The spatial environment of the child is always changing. Objects move around in his environment, just as he moves around and observes them from different positions. The relationships between objects and their relative shapes, sizes and positions are constantly changing.

In our teaching of the Space strand of the primary mathematics syllabus, we are trying to develop in children the understanding and skills associated with spatial relationships that are …