Mathematics

Comparing the Effectiveness of Collaboration vs. Individual work in Probability

    Author Name(s) Panchami Divakar Phadke Faculty Advisor(s) Dr. Ivona Grzegorczyk Abstract Collaboration gives a lot of room for discussions and exchange of ideas. Our project concentrates on comparing student preferences and performance on solving advanced probability problems either individually or in small groups. Data analysis shows attitudes and assessment of student work in these two scenarios. Presentation Poster View Hi-Res

    Improving understanding of geometry with GeoGebra activities

      Author Name(s) Laura Jackson Faculty Advisor(s) Dr. Ivona Grzegorczyk Abstract This research is evaluating the use of GeoGebra in high school geometry courses. We evaluate student performance in two groups: Study group that uses GeoGebra activities to investigate triangle congruence theorems, and Control Group that participates in traditional lecture. Our analysis includes the assessment of their performances and discusses the student characteristics that influence their learning. Presentation Slides

      Effectiveness of the Concept of Unit-Circle on Learning Modular Arithmetic

        Author Name(s) Gazi Sultan Faculty Advisor(s) Dr. Ivona Grzegorczyk Abstract The learning effectiveness of modulo arithmetic introduced in two different ways was studied: the study group started with geometric activities involving a unit circle, the control group went directly to numerical properties of the group of integers modulo š¯‘›. Using pre-and post tests we compared student performance and analyzed the influences of various variables on their understanding. Presentation Poster This… Read More »Effectiveness of the Concept of Unit-Circle on Learning Modular Arithmetic

        Short Videos effectiveness as a Math Lecture in the Short Term

          Author Name(s) Michael Williams Faculty Advisor(s) Dr. Ivona Grzegorczyk Abstract In todayā€™s world many students are used to watching online videos to help them study mathematics. In general, these videos they watch tend to be around 15 minutes in length. So why is it that when professors record a video lecture for their students that it is the full length of a class? It has been shown that students, when… Read More »Short Videos effectiveness as a Math Lecture in the Short Term

          Image Analysis

            Author Name(s) Dylan StoverJennifer MotaLevi Puga Joel SupkoffAlejandro Rodriguez-Zuniga Faculty Advisor(s) Dr. Ivona Grzegorczyk Abstract Our research will consist of the identification, explanation, and comparison of various methods utilized within the area of image analysis, as well as their modern applications. Our research provides a comprehensive overview explaining why these methods affect each and every individual in our society. Presentation Poster Additional Materials Adobe Spark

            Hypothesis Testing with Two Samples

            Author Name(s) Veronica AvalosEric RuanoChris SalasAshley Skelton Faculty Advisor(s) Dr. Ivona Grzegorczyk Abstract In our presentation, we will be using statistical hypothesis testing to compare two samples. The two sample t-test is commonly used to determine if the mean (average) difference between two populations is actually significant or merely due to random chance. This method is used when the following criteria is met: data values are gathered from two populations,… Read More »Hypothesis Testing with Two Samples

            Facial Keypoints Detection with Convolution Neural Networks

              Author Name(s) Austin FisherAlexander SlankardMaxwell DeleonMathew Zekoll Faculty Advisor(s) Alona Kryshchenko Abstract Facial Keypoints Detection is an interesting, yet complex problem that presents itself in the fields of both computer vision and machine learning. In this project, we attempt to determine the coordinates of facial keypoints by utilizing a convolution neural network (CNN) for our predictive modeling. The models are trained and tested on a dataset containing images stored in… Read More »Facial Keypoints Detection with Convolution Neural Networks

              Comparison of anxiety reducing activities in mathematics

                Author Name(s) Kenia Pina Faculty Advisor(s) Dr. Ivona Grzegorczyk, Dr. Nguyen Abstract Having anxiety issues in mathematics courses is a common problem for many students in more advanced courses. Working with three different groups of students at the same level using various anxiety reducing activities, we compare their effectiveness. Our data analysis also assesses other variables that may contribute to problems with learning math and overall student test performance. Poster… Read More »Comparison of anxiety reducing activities in mathematics

                Achievement Gap for Students Due to the COVID Pandemic

                  Author Name(s) Miguel HernandezDaisy Cruz Faculty Advisor(s) Dr. Ivona Grzegorczyk Abstract COVID-19 has altered the way students attend school and has forced the majority of students to participate in distance learning. That transition has impacted studentā€™s performance and has exposed inequality amongst students. This project serves as a qualitative and quantitative analysis of national, state, and local data related to student achievement over the last year during the pandemic. To… Read More »Achievement Gap for Students Due to the COVID Pandemic

                  Mars Landing

                    Author Name(s) Cynthia DeanDaniel SotoEmily HeulittPaul Kime Faculty Advisor(s) Dr. Ivona Grzegorczyk Abstract We discuss the mathematical data, issues and equations related to the 2020 Mars mission that culminated in the Perseverance rover landing on Mars. The success of MARS 2020 program depended on many variables, and we analyze them including trajectories, forces, materials and changeable conditions. Presentation https://youtu.be/lwa98_gXWjA Poster View Hi-Res Supporting Materials