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Showing 1 to 15 of 304 results Save | Export
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Hagman, Jessica Ellis – PRIMUS, 2021
Through a multi-year, national calculus study, researchers have recently identified seven characteristics of successful college calculus programs. We identified these seven characteristics by visiting five doctoral-granting mathematics departments with successful calculus programs and uncovering the common traits among them. These seven traits…
Descriptors: Mathematics Instruction, Calculus, Inclusion, Preservice Teacher Education
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Radzimski, Vanessa; Leung, Fok-Shuen; Sargent, Pam; Prat, Alain – PRIMUS, 2021
We discuss an innovative course model used in first-year calculus courses at a large North American research university, which we refer to as the "Blended Model." We argue that our model takes the best features of lectures, flipped classrooms, and traditional recitations, and gathers them into a cohesive, robust structure that benefits…
Descriptors: Teaching Methods, Flipped Classroom, Calculus, Research Universities
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Bruder, Andrea; Kohler, Brynja R. – PRIMUS, 2020
Although modeling is an integral process in applied mathematics, students rarely encounter modeling opportunities in their calculus courses. We introduce a laboratory experience as a starting point for calculus students to investigate multivariable functions. A layered system of coffee and milk serves as a physical model for temperature gradients…
Descriptors: Calculus, Mathematics Instruction, Climate, Food
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Kilty, Joel M.; McAllister, Alex M. – PRIMUS, 2020
In our modern world, we are inundated and grapple with data daily. As mathematicians, we are often more comfortable discussing the behavior of functions presented analytically, in contrast with the data-driven or tabular presentations of functions ubiquitous in our culture. This paper introduces an entry-level course, Mathematical Modeling and…
Descriptors: Calculus, Teaching Methods, Mathematics Instruction, College Mathematics
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Beagley, Jonathan; Capaldi, Mindy – PRIMUS, 2020
Homework is prevalent in mathematics courses, as are cumulative final exams. This study incorporated the memory science concepts of the "testing effect" and "spacing effect" in the homework and final exam of college mathematics courses. By replacing some new homework problems with review problems, students had additional…
Descriptors: Homework, Mathematics Instruction, Calculus, College Mathematics
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Bagley, Spencer – PRIMUS, 2020
The flipped classroom model interchanges the roles of in-class and out-of-class time to allow students more time to engage with cognitively demanding tasks when expert help from their instructor is more available. An extensive body of literature supports the effectiveness of this model. In contrast, I present a case study of a less-successful…
Descriptors: Educational Technology, Technology Uses in Education, Homework, Video Technology
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Peters, Travis; Johnston, Elgin; Bolles, Heather; Ogilvie, Craig; Knaub, Alexis; Holme, Thomas – PRIMUS, 2020
Team-Based Learning (TBL) uses a flipped classroom model and involves students working collaboratively in small groups, with peer assessments to promote group accountability. We implemented TBL in Calculus I in both large (N [tilde] 150) and small (N [tilde] 35) class settings. We investigated the impact of this form of instruction over two…
Descriptors: Teamwork, Mathematics Instruction, Homework, Video Technology
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Hodge, Angie; Wanek, Katie; Rech, Janice – PRIMUS, 2020
In this paper, we will discuss a type of activity that lets the mathematics classroom become a place where students can learn more than mathematical content. Specifically, students can learn interdisciplinary skills in the area of communication (both verbal and non-verbal) and debate skills that are often taught in communication or English…
Descriptors: Interdisciplinary Approach, Communication Skills, Learning Activities, Mathematics Instruction
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David, Erika J.; Hah Roh, Kyeong; Sellers, Morgan E. – PRIMUS, 2020
This paper offers instructional interventions designed to support undergraduate math students' understanding of two forms of representations of Calculus concepts, mathematical language and graphs. We first discuss issues in students' understanding of mathematical language and graphs related to Calculus concepts. Then, we describe tasks, which are…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Students, Calculus
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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
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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
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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
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Spindler, Richard – PRIMUS, 2020
Modeling projects in differential equations and engineering courses create an authentic activity and an opportunity to attain the holy grail of "deeper" learning. However, what do we mean by "deeper" learning and how do we create an environment that encourages that? This article describes a proposal and case study in using…
Descriptors: Mathematics Instruction, Educational Objectives, Classification, Undergraduate Students
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Schueller, Albert W. – PRIMUS, 2020
Recently, a new source of data with great potential for use in the mathematics classroom has become available. The smartphones in our pockets are packed with sensors. Most phones have at a minimum global positioning, accelerometer, magnetometer, and gyroscope sensors. We give an example of the collection and analysis of global positioning sensor…
Descriptors: Mathematics Instruction, Telecommunications, Handheld Devices, Geographic Information Systems
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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
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