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Helmreich, James E.; Krog, K. Peter – PRIMUS, 2018

We present a short, inquiry-based learning course on concepts and methods underlying ordinary least squares (OLS), least absolute deviation (LAD), and quantile regression (QR). Students investigate squared, absolute, and weighted absolute distance functions (metrics) as location measures. Using differential calculus and properties of convex…

Descriptors: Least Squares Statistics, Regression (Statistics), Active Learning, Inquiry

Frazier, Marian L.; LoFaro, Thomas; Pillers Dobler, Carolyn – PRIMUS, 2018

The Mathematical Association of America (MAA) and the American Statistical Association (ASA) have both updated and revised their curriculum guidelines. The guidelines of both associations recommend that students engage in a "capstone" experience, be exposed to applications, and have opportunities to communicate mathematical and…

Descriptors: Curriculum, Mathematics Instruction, Statistics, Mathematical Models

Mayes-Tang, Sarah – PRIMUS, 2018

Practices such as making connections between topics, prioritizing content, and identifying broad themes are essential to learning mathematics. This paper describes a project designed to integrate these synthesizing activities into an abstract algebra class. Students used a classroom wall to record and organize their collective learning and…

Descriptors: Algebra, Mathematics Instruction, Mathematics Activities, Class Activities

Botts, Ryan T.; Carter, Lori; Crockett, Catherine – PRIMUS, 2018

The efforts to improve the quantitative reasoning (quantitative literacy) skills of college students in the United States have been gaining momentum in recent years. At the same time, the blended learning approach to course delivery has gained in popularity, promising better learning with flexible modalities and pace. This paper presents the…

Descriptors: Blended Learning, Statistical Analysis, Comparative Analysis, Outcomes of Education

Marland, Eric; Bossé, Michael J.; Rhoads, Gregory – PRIMUS, 2018

Rounding is a necessary step in many mathematical processes. We are taught early in our education about significant figures and how to properly round a number. So when we are given a data set and asked to find a regression line, we are inclined to offer the line with rounded coefficients to reflect our model. However, the effects are not as…

Descriptors: Least Squares Statistics, Regression (Statistics), Computer Simulation, Equations (Mathematics)

Reinholz, Daniel L. – PRIMUS, 2018

Increasing evidence supports the use of small group instruction to enhance student learning in undergraduate mathematics. However, effectively enacting such learning methods requires instructors to develop new skills as educators. This paper provides a practical guide for group work in undergraduate mathematics, describing key aspects of group…

Descriptors: Undergraduate Study, College Mathematics, Small Group Instruction, Teaching Methods

Costello, Pat – PRIMUS, 2018

In 1981 Dixon introduced a clever idea for factoring large numbers. This idea has become the basis for many current factoring techniques. In this paper, we show how to implement the idea on the computer in the classroom. Additionally, pseudocode is given for finding examples suitable for demonstrating Dixon factorization.

Descriptors: Number Concepts, Numbers, Theories, Educational Technology

Carnell, Lisa; Graham-Squire, Adam; O'Hara, Karen; Piechnik, Lindsay – PRIMUS, 2018

This study examined the impact of restricting Calculus 1 and Business Calculus classes based upon whether students had prior calculus experience. We compared the performance and experience of students in sections comprised entirely of those who had previously taken calculus, those who had not previously taken calculus, and those in traditional…

Descriptors: Calculus, Prior Learning, Performance, Undergraduate Study

Cook, Samuel A.; Borkovitz, Debra K. – PRIMUS, 2017

In this paper we present data from one-on-one interviews conducted with students who have taken intermediate and advanced inquiry-based mathematics courses in a program that prepares future preK-8 teachers. Many of these students entered college with a fear of math, but then gained confidence from a required introductory math course and chose to…

Descriptors: Student Attitudes, Introductory Courses, Inquiry, Mathematics Education

von Renesse, Christine; Ecke, Volker – PRIMUS, 2017

This paper links educational psychology research about curiosity to teacher moves that are effective in an inquiry-based mathematics classroom. Three vignettes will show explicit teacher moves (staging disagreement, intriguing anecdotes, and creating a safe space) for different audiences (math majors, mathematics for liberal arts students, and…

Descriptors: Personality Traits, Inquiry, Teaching Methods, Mathematics Instruction

Piercey, Victor; Cullen, Roxanne – PRIMUS, 2017

In order to improve problem-solving dispositions, a section of an inquiry-based math sequence for first-year business students was linked with a section of our general education English sequence. We describe how the linked classes worked and compare some preliminary results from linked and unlinked sections of the math sequence.

Descriptors: Inquiry, Teaching Methods, Mathematics Instruction, Problem Solving

Miller, Nathaniel – PRIMUS, 2017

This paper describes the use of Mathematics Action Research Projects (ARPs) as a capstone experience in lieu of a Master's Thesis in a Master's program for in-service secondary teachers. The ARPs include two primary components: (i) each teacher participant conducts mathematical research that is new to them on a topic that is connected in some way…

Descriptors: Secondary School Mathematics, Secondary School Teachers, Mathematics, Mathematics Instruction

Flores, Alfinio; Phelps, Christine M.; Jansen, Amanda – PRIMUS, 2017

We present a first-hand, longer-term account of one student's (Christine's) experiences in and after a mathematics inquiry course. In this course, students actively posed problems, conducted their own mathematical explorations, and wrote journal entries about their experiences. During the course, Christine found that inquiry helped her develop…

Descriptors: Transformative Learning, Mathematics Instruction, Inquiry, Problem Solving

Slavit, David; Lesseig, Kristin – PRIMUS, 2017

Applying the Mathematical Knowledge for Teaching framework, we discuss the components of teacher knowledge that might be useful in supporting mathematical inquiry, and examine ways in which we strive to develop this knowledge within a middle grades mathematics program for undergraduate students who are prospective teachers. Using sample activities…

Descriptors: Inquiry, Mathematics Instruction, Mathematics Education, Teacher Education

Buell, Catherine A.; Greenstein, Steven; Wilstein, Zahava – PRIMUS, 2017

It is widely accepted in the mathematics education community that pedagogies oriented toward inquiry are aligned with a constructivist theory of learning, and that these pedagogies effectively support students' learning of mathematics. In order to promote such an orientation, we first separate the idea of inquiry from its conception as a…

Descriptors: Inquiry, Active Learning, Mathematics, Mathematics Instruction