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Mathematics -- Instructional issues

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Platonic Realms

The Platonic Realms website is a project initiated by a small group of math and math education graduate students, led by B. Sidney Smith, at the University of Colorado at Boulder. The group's goal is "to provide high-quality mathematical content for secondary-school and college students that was free, motivational, and instructional." The introductory page features a historical note, a daily...

https://platonicrealms.com/
Practical Tips for Managing Challenging Scenarios in Undergraduate Research

The Mathematical Association of America (MAA) has been involved in a number of new initiatives as of late, and one such project is the "Resources for Undergraduate Research". This series brings together topical information on new research methods and strategies for working with undergraduate students on a number of mathematical endeavors. This particular paper looks at how to best manage different...

https://www.maa.org/external_archive/columns/Resources/CURM....
Probability Tutorials [Last reviewed in the Scout Report on November 24, 1999]

When the Scout Report last visited the Probability Tutorials in 1999, there were just twelve tutorials on this site. Since that time, the tutorials offered here have grown both in number (from twelve to twenty) and in their overall scope and breadth. The site was created and is still maintained by Noel Vaillant, who received his PhD from Imperial College, London. Currently, the site contains...

http://www.probability.net/
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Problem Strings: A Lesson Format for All Students

Pamela Weber Harris is a former mathematics teacher who currently works as a mathematics education consultant and instructor of elementary math methods at Texas State University. Harris has also authored or co-authored several books about teaching math and appeared in a fascinating 2016 episode of Science Friday, "How Much Math Should Everyone Know? (Show Your Work)." In this 70 minute webinar,...

https://www.bigmarker.com/GlobalMathDept/Problem-Strings-A-L...
Problems with Standards-based Mathematics Tests

Alan Tucker, an Applied Math professor at Stony Brook University took it upon himself to analyze the reliability of the scoring of the Math A test, New York's standards-based exam. Tucker was part of the New York Board of Regents special panel which investigated the high failure rates on the June 2003 exam. He reports here on his findings regarding "flaws in annual math tests mandated by the No...

https://www.ams.stonybrook.edu/~tucker/StandardsProb.pdf
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Project Laboratory in Mathematics

What's it like to do mathematical research? The "Project Laboratory in Mathematics" course from MIT's OpenCourseWare provides some fine insights into this endeavor. The course was originally developed by Professor Haynes Miller and features information about how to help students "explore puzzling and complex mathematical situations." The site includes selected video lectures from the course,...

https://ocw.mit.edu/courses/18-821-project-laboratory-in-mat...
Proportionality in Similar Triangles: A Cross-Cultural Comparison

In the introduction to this site we learn that, "A fundamental result of geometry, used often in secondary and collegiate mathematics, is the equality of ratios of corresponding sides in similar triangles." Accordingly, this concept is expected knowledge of students in physics, engineering, and the sciences, "since its simple statement is rather useful in finding unknown lengths of elementary...

https://www.maa.org/press/periodicals/convergence/proportion...
Pumas: Practical Uses of Math and Science

Getting students interested in applied and practical uses of math and science can be easier than having students just learn basic principles, although those remain very important to be sure. Almost ten years ago, NASA began their own online journal of just such examples for students, and titled it “Practical Uses of Math and Science”, or PUMAS. The project continues to be going strong, and...

https://pumas.nasa.gov/
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Questioning my Metacognition

Anyone who has taught or tutored math - or who has simply been a mathematics student themselves - will recognize that one of the biggest challenges to learning mathematics is the prevalence of math anxiety. Children and adults alike often believe that they are bad at math. Graham Fletcher is one of many educators who is working to change the way that math is taught and alleviate this anxiety. On...

https://gfletchy.com
Random Thoughts

Professor Richard M. Felder has been involved in teaching engineering for over thirty years, and his column has appeared in the journal, Chemical Engineering, since 1988. Professor Felder retired several years ago, but he has made a point of continuing with his rather timely and useful updates about the world of teaching in the college classroom. Visitors to this site can scan through some of his...

https://www.engr.ncsu.edu/stem-resources/legacy-site/random-...
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