A Project Based Approach to Statistics and Data Science

In an increasingly data-driven world, facility with statistics is more important than ever for our students. At institutions without a statistician, it often falls to the mathematics faculty to teach statistics courses. This paper presents a model that a mathematician asked to teach statistics can follow. This model entails connecting with faculty from numerous departments on campus to develop a list of topics, building a repository of real-world datasets from these faculty, and creating projects where students interface with these datasets to write lab reports aimed at consumers of statistics in other disciplines. The end result is students who are well prepared for interdisciplinary research, who are accustomed to coping with the idiosyncrasies of real data, and who have sharpened their technical writing and speaking skills

Curriculum Guidelines for Undergraduate Programs in Data Science

The Park City Math Institute (PCMI) 2016 Summer Undergraduate Faculty Program met for the purpose of composing guidelines for undergraduate programs in Data Science. The group consisted of 25 undergraduate faculty from a variety of institutions in the U.S., primarily from the disciplines of mathematics, statistics and computer science. These guidelines are meant to provide some structure for institutions planning for or revising a major in Data Science

Supporting the Algebra I Curriculum with an Introduction to Computational Thinking Course

The Louisiana Workforce Commission predicts a 33.6% increase in computer science and mathematical occupations by 2022 and the Bureau of Labor Statistics foresees a 16% increase in computer scientists from 2018-2028. Despite these opportunities for job and financial security, the number of Louisiana students enrolled in a nationally accredited computing course is less than 1%, compared to national leaders California and Texas which have 3% and 3.8% of students respectively. Furthermore, the international assessments of mathematical literacy, PISA and TIMMS, both report American students continue to fall further behind their international peers in mathematics achievement. This thesis rejects these statistics as definitive and attempts to contribute to an expansion of the mathematical libraries of a computational thinking course that a teacher could use to support a standards-based Algebra I course. The framework presented in this thesis supports the Louisiana State University (LSU) STEM Pathway course entitled Introduction to Computational Thinking (ICT). The course introduces students to a systematic problem-solving approach in which they learn to solve problems computationally, that is, through abstraction, decomposition, and pattern recognition. ICT utilizes the functional programming language Haskell in the educational programming environment “CodeWorld” in order to create pictures and animations. Jean Piaget, the great child cognitive development psychologist, proclaimed “The goal of intellectual education is not to know how to repeat or retain ready-made truths”; rather, one becomes educated by “learning to master the truth by oneself” (Piaget, 1973). Because of the graphical outputs that one can easily code in CodeWorld, students have the ability to explore an algebraic concept with a computer programmed model, alongside the textbook’s given table, equation and graph. This thesis provides additional projects for supporting the Algebra I curriculum through LSU’s ICT course and an overview of the history of computing with an emphasis on highlighting some of the attempts that were undertaken within the past 80 years to use computational thinking and programming to support problem solving across disciplines, including the humanities, math and sciences

Gamification Through Algebraic Coding

From an urban high school in upstate New York, gamification was introduced through coding to teach an Algebra I unit. The Value Instrumentality Expectancy (VIE) Theory was used to measure motivation to determine if learning coding by gamifying a unit and applying it in the computer lab motivated students to learn Algebra I content. There was a significant increase in each motivational construct. This implies that if teachers dedicate themselves to learn coding and the pedagogical knowledge needed to teach a gamified unit, then there can be an increase in motivation to learn Algebra I content

Enhancing STEM Education for East Tennessee in a Post-COVID World

I have identified a need for an analysis of the middle and high school STEM education curricula in the East Tennessee Region which does not effectively integrate technology into their current instruction, which results in low student engagement, motivation, and achievement in the instruction and learning of algebra and geometry. I propose a program to identify specific applications and methods to be integrated into these programs which will improve the abilities of teachers to positively impact their students\u27 understanding and mastery of algebra and geometry. Using emerging and novel STEM subject instruction, teaching, and engagement methods, and focusing on the analysis of the current uses of technology, identifying specific applications and computing systems, and providing necessary resources and support to teachers, the program I am proposing aims to cast a wide net for effective programs and adapt to new and innovative methods

Computational Thinking and Its Mathematics Origins through Purposeful Music Mixing with African American High School Students

Computational thinking (CT) is being advocated as core knowledge needed by all students—particularly, students from underrepresented groups—to prepare for the 21st century (Georgia Department of Education, 2017; Smith, 2016, 2017; The White House, 2017; Wing, 2006, 2014). The K–12 Computer Science Frameworks (2016), written by a national steering committee, defines CT as “the thought processes involved in expressing solutions as computational steps or algorithms that can be carried out by a computer” (p. 68). This project investigated current national introductory CT curricula and their related programming platforms used in high schools. In particular, the study documents the development, implementation, and quantitative outcomes of a purposeful introductory CT curriculum framed by an eclectic theoretical perspective (Stinson, 2009) that included culturally relevant pedagogy and critical play through a computational music remixing platform known as EarSketch. This purposeful introductory CT curriculum, designed toward engaging African American high school students, was implemented with a racially diverse set of high school students to quantitatively measure their engagement and CT content knowledge change. The goal of the project was to increase engagement and CT content knowledge of all student participants, acknowledging that what benefits African American students tends to benefit all students (Hilliard, 1992; Ladson-Billings, 2014). An analysis of the findings suggests that there was a significant increase in student cognitive engagement for racially diverse participants though not for the subset of African American students. Affective and conative engagement did not significantly change for racially diverse participants nor for the African American student subset. However, both the racially diverse set of students’ and their subset of African American students’ CT content knowledge significantly increased. As well, there was no significant difference between African American students and non-African American students post-survey engagement and CT content knowledge post-assessment means when adjusted for their pre-survey engagement and pre-assessment knowledge respectively. Hence, showing that purposeful music mixing using EarSketch designed toward African American students benefitted a racially diverse set of students in cognitive engagement and CT content knowledge and the African American subset of students in CT content knowledge. Implications and recommendations for further study are discussed