Measuring the Increase in Students’ Comprehension in a Flipped Introductory Calculus Course

Author(s):  
Rahmad Dawood ◽  
Mohd. Syaryadhi ◽  
Muhammad Irhamsyah ◽  
Roslidar
2015 ◽  
Vol 16 (4) ◽  
pp. 523-536 ◽  
Author(s):  
Michael Rogers ◽  
Thomas Pfaff ◽  
Jason Hamilton ◽  
Ali Erkan

Purpose – The purpose of this paper is to report on the Multidisciplinary Sustainability Education Project (MSEP) as a framework using sustainability-themed education modules to introduce students to the need for multidisciplinary approaches to solving twenty-first-century problems while retaining traditional course strengths and content. Design/methodology/approach – The MSEP uses sustainability-themed education models and a multidisciplinary approach to link courses across disciplines. Modules are identified by an overarching question with activities designed to address the overarching question from course-specific perspectives, resulting in students writing short technical reports summarizing their results. Students then read and evaluate technical reports from other classes, and complete a summary activity designed to connect perspectives from different disciplines. Findings – The multi-method assessment identified no loss or gain in discipline-specific learning; increased understanding about the characteristics of twenty-first-century problems, in particular those related to sustainability; and increased students ' favorable perceptions of introductory calculus. Assessment of increased understanding of how different disciplines can work together to understand complex problems was difficult to measure due to limitations of a project-developed assessment instrument. Originality/value – This paper contributes to undergraduate sustainability education by describing a framework for connecting courses using sustainability-themed modules. By implementing an asynchronous manner where courses use materials from the project Web site and contribute materials to the Web site after implementing a module, it is easy to incorporate a module into existing courses, any educational institution’s existing structure and across institutions. The framework’s flexible design allows new courses from any discipline to connect to a module, allowing for multidisciplinary connections to grow over time.


1996 ◽  
Vol 27 (1) ◽  
pp. 79 ◽  
Author(s):  
Paul White ◽  
Michael Mitchelmore

2016 ◽  
Author(s):  
James Lewis ◽  
Gerold Willing ◽  
Thomas Rockaway

Mathematics ◽  
2020 ◽  
Vol 8 (12) ◽  
pp. 2204
Author(s):  
David Weisbart

In his famous work, “Measurement of a Circle,” Archimedes described a procedure for measuring both the circumference of a circle and the area it bounds. Implicit in his work is the idea that his procedure defines these quantities. Modern approaches for defining π eschew his method and instead use arguments that are easier to justify, but they involve ideas that are not elementary. This paper makes Archimedes’ measurement procedure rigorous from a modern perspective. In so doing, it brings a rigorous and geometric treatment of the differential properties of the trigonometric functions into the purview of an introductory calculus course.


1989 ◽  
Vol 17 (4) ◽  
pp. 285-295 ◽  
Author(s):  
Thomas E. Gist ◽  
Marilyn K. McQuade ◽  
Richard E. Swanson ◽  
Gary L. Lorenzen ◽  
Stephen R. Schmidt ◽  
...  

This article discusses the results of measuring the in-class effectiveness of a computer controlled instructor workstation (IWS). The IWS was used in an introductory calculus-based physics course. It provided computer control of the presentation of videodisc scenes in support of the lecture. We found no significant difference in the performance of the students, but did see a significant improvement in their attitude. Instructor reaction was generally favorable. We also discuss the pedagogy used in developing the lessons, and the design of the evaluation.


1955 ◽  
Vol 62 (1) ◽  
pp. 54 ◽  
Author(s):  
D. T. Finkbeiner ◽  
E. G. Begle

1981 ◽  
Vol 74 (7) ◽  
pp. 546-547
Author(s):  
T. Michael Flick

There are some nice ways to relate two different methods for generating a cylinder.


2002 ◽  
Vol 7 (8) ◽  
pp. 438-443
Author(s):  
Darin Beigie

Technology gives students the ability to stretch beyond their immediate environment, to explore the power and magic of numbers by transforming the abstract into the concrete. The idea of a limit is one of the most fundamental concepts in mathematics, yet exposure to this concept often awaits introductory calculus, where the topic can seem abstract and forbidding. Spreadsheets and programmable calculators are powerful tools that enable middle school students to visualize and explore limiting behavior, allowing them to experiment and grapple with the notion of a limit in concrete settings. Such experiences can help plant seeds of understanding in an important, yet perhaps underexplored, topic in number sense.


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