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Gordon, Sheldon P.; Gordon, Florence S. – PRIMUS, 2020

This article illustrates ways that dynamic software using some sophisticated techniques in Excel can be used to demonstrate fundamental ideas related to hypothesis testing to increase student understanding of the concepts and methods in elementary statistics courses. The article considers hypothesis tests for the population mean with large or…

Descriptors: Hypothesis Testing, Computer Software, Educational Technology, Technology Uses in Education

Eklund, Holly – PRIMUS, 2020

The purpose of this paper is to explain a newly implemented interactive delivery model for students at the Colorado School of Mines (Mines) repeating Calculus for Scientists & Engineers I during the spring of 2017. Since calculus is a necessary component for so many STEM degrees, it will continue to be a gateway to obtaining such degrees and…

Descriptors: Teaching Methods, Delivery Systems, Calculus, Scientists

Durst, Susan; Kaschner, Scott R. – PRIMUS, 2020

We explore student performance on True-False assessments with statements in the conditional form "If P then Q" in order to better understand how students process conditional logic and to see whether logical misconceptions impede students' ability to demonstrate mathematical knowledge. We administered an online assessment to a population…

Descriptors: College Mathematics, Mathematics Instruction, Undergraduate Study, Misconceptions

Cline, K.; Fasteen, J.; Francis, A.; Sullivan, E.; Wendt, T. – PRIMUS, 2020

We consider the use of projects in math courses as a mechanism for promoting coding, communication, and interdisciplinary application of math skills. Final projects play an important role, but we also discuss several alternate types of projects. We describe a model that incorporates projects at all stages across the undergraduate mathematics…

Descriptors: Student Projects, Mathematics Curriculum, Mathematics Activities, Mathematics Skills

Capaldi, Mindy – PRIMUS, 2020

Definitions are fundamental to any mathematics classroom. We consider how definitions are presented in textbooks and instructors' lecture notes, and whether students are positioned to gain a full understanding of new terms. Four textbooks, covering precalculus, calculus, and analysis, as well as three professors' Calculus I lecture notes are…

Descriptors: Mathematics Instruction, College Mathematics, Definitions, Textbooks

Calkins, Susanna; Grannan, Sharisse; Siefken, Jason – PRIMUS, 2020

This study explores the impact of Peer-Assisted Reflection (PAR), a structured active learning strategy that emphasizes peer feedback and reflection, on students' perceptions of mathematical thinking, and of the roles their peers and their instructors play in their learning process. This study also examines the impact of PAR on the students'…

Descriptors: Reflection, Peer Influence, Active Learning, Feedback (Response)

Robinson, Samantha – PRIMUS, 2020

This quasi-experimental, pre-post study with non-equivalent comparison groups explores the potential for resequencing of course content to affect positive change in an undergraduate, introductory statistics course at a mid-sized, flagship university that is located in a southern state. Quantitative analyses suggest that the implementation of…

Descriptors: Sequential Approach, Instructional Effectiveness, Introductory Courses, Statistics

Das, Tushar; George, Whitney; Warnberg, Nathan – PRIMUS, 2020

Mathematics educators view the equals sign as a bidirectional relation symbol, but the authors have observed that students might not have such flexibility in their understanding of the equals sign. The authors have observed that students have a hard time viewing mathematical properties (for example, log (MN) = log (M) log (N)) with bidirectional…

Descriptors: Mathematics Education, Mathematical Concepts, Symbols (Mathematics), College Mathematics

Boyce, Steven; O'Halloran, Joyce – PRIMUS, 2020

We describe the process of adjusting the balance between computer-based learning and peer interaction in a college algebra course. In our first experimental class, students used the adaptive-learning program ALEKS within an emporium-style format. Comparing student performance in the emporium format class with that in a traditional lecture format…

Descriptors: Active Learning, College Students, Algebra, Mathematics Instruction

Krouss, Paul; Lesseig, Kristin – PRIMUS, 2020

Introductory and remedial courses in college mathematics often serve as a gateway to student success. However, these university courses have seen little innovation despite historically low success rates. We sought to address deficits of the traditional lecture model and enhance student learning in an introductory college algebra course through the…

Descriptors: Educational Technology, Technology Uses in Education, Homework, Video Technology

Koban, D.; Fukuzawa, M.; Slocum, R.; Fletcher, M.; Pleuss, J. – PRIMUS, 2020

We present an analysis on the differential effects of incentivizing homework in an introductory mathematics course at the United States Military Academy. We found that including homework as part of a student's overall course average (incentive) led to a significantly higher performance (achievement) on homework assignments. However, doing homework…

Descriptors: Homework, Correlation, Mathematics Achievement, Introductory Courses

Adiredja, Aditya P.; Bélanger-Rioux, Rosalie; Zandieh, Michelle – PRIMUS, 2020

In this paper we share a classroom implementation of a task about basis in linear algebra, which was originally developed for research about the topic. The task asks students to construct an everyday situation that captures the definition of basis, and then to critique it mathematically. Using this task, the original research study uncovered…

Descriptors: Mathematics Instruction, Algebra, Relevance (Education), Teaching Methods

Lewis, Drew – PRIMUS, 2020

This article describes a Standards-Based Grading (SBG) implementation used in a variety of lower-level mathematics courses, notably including the use of oral re-assessments. A retrospective study of this implementation was conducted that showed that female students take advantage of optional oral re-assessments at greater rates than male students…

Descriptors: Grading, Academic Standards, Mathematics Instruction, Student Evaluation

Schembari, N. Paul – PRIMUS, 2020

Ciphers based on rotor machines were the state-of-the-art in the mid-1900s, with arguably the most famous being the German Enigma. We have found that students have great interest in the Enigma and its cryptanalysis, so we created our own rotor cipher that is simulated with shifting tables and can be cryptanalyzed. Ours and the historic rotor…

Descriptors: Mathematics Instruction, Equipment, Technology, Teaching Methods

Jones, Leslie B.; Hopkins, Britney J. – PRIMUS, 2020

Computer programming and mathematical algorithms are natural partners in the development of programming skills, logical thought, and a deeper understanding of mathematical concepts. We present the details of a course which blends the two at the sophomore level. This course is required of our mathematics majors, but attracts mathematics minors from…

Descriptors: Mathematics Instruction, Programming, Teaching Methods, College Mathematics