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Articles 1 - 9 of 9
Full-Text Articles in Education
Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett
Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett
Number Theory
No abstract provided.
Shape Shifting: The Impact Of Student And Teacher Choice On Differentiation In A Detracked, Standards-Based High School Geometry Classroom, Kristin M. Weller
Shape Shifting: The Impact Of Student And Teacher Choice On Differentiation In A Detracked, Standards-Based High School Geometry Classroom, Kristin M. Weller
Journal of Practitioner Research
To gain insight into how using differentiated instruction and standards-based assessment supported my students’ learning in a detracked, honors geometry classroom, I employed the methodology of practitioner research to examine and reflect on the development and implementation of a standards-based differentiated unit based on the Pythagorean Theorem. Data collected and analyzed included field notes during classroom activities, student artifacts from classroom assessments and activities, verbatim transcripts from audiotaped student interviews, and practitioner researcher journal entries chronicling significant events and actions taken during the development and implementation of the unit. As I reviewed, analyzed, and reflected upon the data, my findings …
Paul's Dilemma: Is This A Polyhedron?, Bethany Noblitt, Shelly Harkness
Paul's Dilemma: Is This A Polyhedron?, Bethany Noblitt, Shelly Harkness
Journal of Humanistic Mathematics
Teachers play the believing game when they honor students’ mathematical thinking, even when it means they must suspend their own mathematical thinking momentarily. The study reported here tells the story of what happened in a university mathematics classroom when one student did not think that a particular figure satisfied the definition of a polyhedron and the instructor chose to play the believing game. The result was a very rich discussion, where both students and the authors grappled with their own mathematical understanding. One author served as the instructor of the course and the other author was an observer, taking field …
Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett
Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett
Number Theory
No abstract provided.
Prevalence Of Typical Images In High School Geometry Textbooks, Megan N. Cannon
Prevalence Of Typical Images In High School Geometry Textbooks, Megan N. Cannon
USF Tampa Graduate Theses and Dissertations
Visualization in mathematics can be discussed in many ways; it is a broad term that references physical visualization objects as well as the process in which we picture images and manipulate them in our minds. Research suggests that visualization can be a powerful tool in mathematics for intuitive understanding, providing and/or supporting proof and reasoning, and assisting in comprehension. The literature also reveals some difficulties related to the use of visualization, particularly how illustrations can mislead students if they are not comfortable seeing concepts represented in varied ways. However, despite the extensive research on the benefits and challenges of visualization …
Integrating Non-Euclidean Geometry Into High School, John Buda
Integrating Non-Euclidean Geometry Into High School, John Buda
Honors Thesis
The purpose of this project is to provide the framework for integrating the study of non-Euclidean geometry into a high school math class in such a way that both aligns with the Common Core State Standards and makes use of research-based practices to enhance the learning of traditional geometry. Traditionally, Euclidean geometry has been the only strand of geometry taught in high schools, even though mathematicians have developed several other strands. The non-Euclidean geometry that I focus on in this project is what is known as taxicab geometry. With the Common Core Standards for Math Practice pushing students to “model …
Math Anxiety And Assessment Strategies, Ronald Vis
Math Anxiety And Assessment Strategies, Ronald Vis
Master of Education Program Theses
This action research study investigated the connection between student choice and the levels of math anxiety exhibited in Geometry students at a Christian high school in the Twin Cities in Minnesota. The participants were 38 ninth, tenth, and eleventh grade students separated in three sections of Geometry. This study was conducted to see if providing choice would effectively combat the perceived stress and anxiety associated with math classes. Students were offered a choice of review projects that would be used to prepare them for an upcoming test. No other changes were made in the classroom. Class presentations, discussions, and assessments …
Polygons, Pillars And Pavilions: Discovering Connections Between Geometry And Architecture, Sean Patrick Madden
Polygons, Pillars And Pavilions: Discovering Connections Between Geometry And Architecture, Sean Patrick Madden
Journal of Catholic Education
Crowning the second semester of geometry, taught within a Catholic middle school, the author's students explored connections between the geometry of regular polygons and architecture of local buildings. They went on to explore how these principles apply famous buildings around the world such as the monuments of Washington, D.C. and the elliptical piazza of Saint Peter's Basilica at Vatican City within Rome, Italy.
Using Mobile Learning To Supports Students' Understanding In Geometry: A Design-Based Research Study, Helen Crompton
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, …