Encounter with Introductory Calculus

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

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

Using sustainability themes and multidisciplinary approaches to enhance STEM education

2015 ◽  
Vol 16 (4) ◽  
pp. 523-536 ◽  
Author(s):  
Michael Rogers ◽  
Thomas Pfaff ◽  
Jason Hamilton ◽  
Ali Erkan
Keyword(s):  
Web Site ◽  
Sustainability Education ◽  
Assessment Instrument ◽  
First Century ◽  
Content Type ◽  
Traditional Course ◽  
Twenty First Century ◽  
Introductory Calculus ◽  
Existing Structure ◽  
Specific Learning

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.

scholarly journals Conceptual Knowledge in Introductory Calculus

1996 ◽  
Vol 27 (1) ◽  
pp. 79 ◽  
Author(s):  
Paul White ◽  
Michael Mitchelmore
Keyword(s):  
Conceptual Knowledge ◽  
Introductory Calculus

scholarly journals Peer-Led Team Learning in an Introductory Calculus Course

2016 ◽  
Author(s):  
James Lewis ◽  
Gerold Willing ◽  
Thomas Rockaway
Keyword(s):  
Team Learning ◽  
Introductory Calculus

scholarly journals Modernizing Archimedes’ Construction of π

Mathematics ◽  
2020 ◽  
Vol 8 (12) ◽  
pp. 2204
Author(s):  
David Weisbart
Keyword(s):  
Measurement Procedure ◽  
Trigonometric Functions ◽  
Work Measurement ◽  
Differential Properties ◽  
Introductory Calculus ◽  
Modern Perspective

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.

The Air Force Academy Instructor Workstation (IWS): II. Effectiveness

1989 ◽  
Vol 17 (4) ◽  
pp. 285-295 ◽  
Author(s):  
Thomas E. Gist ◽  
Marilyn K. McQuade ◽  
Richard E. Swanson ◽  
Gary L. Lorenzen ◽  
Stephen R. Schmidt ◽  
...  
Keyword(s):  
Air Force ◽  
Computer Control ◽  
Air Force Academy ◽  
Significant Difference ◽  
Computer Controlled ◽  
Physics Course ◽  
Introductory Calculus

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.

Introductory Calculus with Analytic Geometry.

1955 ◽  
Vol 62 (1) ◽  
pp. 54 ◽  
Author(s):  
D. T. Finkbeiner ◽  
E. G. Begle
Keyword(s):  
Analytic Geometry ◽  
Introductory Calculus

Investigating Limits in Number Patterns

2002 ◽  
Vol 7 (8) ◽  
pp. 438-443
Author(s):  
Darin Beigie
Keyword(s):  
Middle School ◽  
Middle School Students ◽  
Number Sense ◽  
School Students ◽  
Limiting Behavior ◽  
Plant Seeds ◽  
Introductory Calculus

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.

Sign in / Sign up

Export Citation Format

Share Document