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Gordon, Sheldon P.; Gordon, Florence S. – PRIMUS, 2023
This article makes a case for introducing moving averages into introductory statistics courses and contemporary modeling/data-based courses in college algebra and precalculus. The authors examine a variety of aspects of moving averages and draw parallels between them and similar topics in calculus, differential equations, and linear algebra. The…
Descriptors: College Mathematics, Introductory Courses, Statistics Education, Algebra
Hirst, H.; Palmer, K. – PRIMUS, 2019
The authors describe working with partner disciplines during the process of updating mathematics courses for the general education quantitative literacy requirement. The conversations resulted in significant changes to the business calculus course and a rich listing of applications to be incorporated into the college algebra course from technical…
Descriptors: Mathematics Instruction, College Mathematics, Algebra, Calculus
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
Katrina Palmer; William Bauldry; Michael J. Bossé; Jaehee Post – PRIMUS, 2022
Most any students can explain the meaning of "a[superscript b]", for "a" [element-of] [set of real numbers] and for "b" [element-of] [set of integers]. And some students may be able to explain the meaning of "(a + bi)[superscript c]," for "a, b" [element-of] [set of real numbers] and for…
Descriptors: Mathematics Instruction, Mathematical Concepts, Secondary School Mathematics, College Mathematics
Harsy, Amanda – PRIMUS, 2020
As educators, it is important for us to recognize that our assessment methods affect student attitudes. If we want students to learn from their mistakes and counteract a fixed-mindset of learning, perhaps we should look at what we incentivize in the classroom. Some professors are attempting to counteract math and test anxiety, poor STEM retention,…
Descriptors: Testing, Mastery Tests, Mastery Learning, Mathematics Instruction
Bauldry, William C. – PRIMUS, 2018
The standard technique taught in calculus courses for partial fraction expansions uses undetermined coefficients to generate a system of linear equations; we present a derivative-based technique that calculus and differential equations instructors can use to reinforce connections to calculus. Simple algebra shows that we can use the derivative to…
Descriptors: Fractions, Calculus, Mathematics Instruction, Undergraduate Students
Bertrand, Elliott; McArdle, David T.; Thoma, Lubos; Wu, Li – PRIMUS, 2021
The percentage of college students receiving unproductive grades in introductory mathematics courses is a concern for post-secondary institutions across the country. Many factors can be targeted as potential explanations for this lack of success, yet none of these issues are more noteworthy than the fact that many students enter college…
Descriptors: College Students, Mathematics Instruction, College Mathematics, Mathematics Skills
Cline, K.; Fasteen, J.; Francis, A.; Sullivan, E.; Wendt, T. – PRIMUS, 2020
We have integrated computer programming instruction into the required courses of our mathematics major. Our majors take a sequence of four courses in their first 2 years, each of which is paired with a weekly 75-minute computer lab period that has a dual purpose of both computationally exploring the mathematical concepts from the lecture portion…
Descriptors: College Mathematics, Majors (Students), Programming, Teaching Methods
Harsy, Amanda; Carlson, Christina; Klamerus, Lauren – PRIMUS, 2021
Mastery-grading techniques such as mastery-based grading, specifications grading, and standards-based grading are assessment techniques professors are implementing in order to support a growth mindset of learning, decrease test anxiety, and help students develop a deeper understanding of course objectives. In this paper, we provide an analysis of…
Descriptors: Mathematics Instruction, Mastery Tests, Grading, Student Evaluation
Carlisle, Sylvia – PRIMUS, 2020
Specifications grading is a version of mastery grading distinguished by giving students clear specifications that their work must meet, and grading most things pass/fail based on those specifications. Mastery grading systems can get quite elaborate, with hierarchies of objectives and various systems for rewriting and retesting. In this article I…
Descriptors: Grading, Standards, Mathematics Instruction, Calculus
OShaughnessy, J. – PRIMUS, 2019
This paper investigates the advantages of using a two-step homework system. First, technology is used to collect and grade traditional homework. Then, students are expected to present and explain problems from their assignments in class. Several versions of implementation are discussed for different course levels and sizes. Through these methods,…
Descriptors: Mathematics Instruction, College Mathematics, Homework, Educational Technology
Harwood, R. Corban – PRIMUS, 2018
This article addresses the logistics of implementing projects in an undergraduate mathematics class and is intended both for new instructors and for instructors who have had negative experiences implementing projects in the past. Project implementation is given for both lower- and upper-division mathematics courses with an emphasis on mathematical…
Descriptors: Mathematics Instruction, Mathematical Models, Active Learning, Student Projects
D'Angelo, John P. – PRIMUS, 2017
We offer many specific detailed examples, several of which are new, that instructors can use (in lecture or as student projects) to revitalize the role of complex variables throughout the curriculum. We conclude with three primary recommendations: revise the syllabus of Calculus II to allow early introductions of complex numbers and linear…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Calculus
Ekici, Celil; Gard, Andrew – PRIMUS, 2017
In a series of group activities supplemented with independent explorations and assignments, calculus students investigate functions similar to their own derivatives. Graphical, numerical, and algebraic perspectives are suggested, leading students to develop deep intuition into elementary transcendental functions even as they lay the foundation for…
Descriptors: Mathematics Instruction, Teaching Methods, Calculus, Mathematical Formulas
Anderson, Jacqueline – PRIMUS, 2019
A common challenge among mathematics professors is to structure a course so that students are motivated to complete enough work to master the material without creating an unmanageable grading workload. We will discuss a strategy that the author devised to successfully confront this challenge (after many other failed attempts): using online surveys…
Descriptors: College Mathematics, College Students, Student Evaluation, Feedback (Response)