Example JiTT WarmUp Exercises
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Economic Statistics: Hypothesis Testing part of Examples
This activity helps a student recognize the consequences of Type I and Type II errors in hypothesis testing.
Symmetry and Tilings: An Exploration part of Examples
Students are directed to read through a Web-based tutorial on Symmetry and Tilings in the form of an short and colorful article entitled Tilings and Tesselations; afterwards, they answer several questions on tilings (tessellations), tiling terminology, types of symmetry (isometries), periodic tilings and Penrose tilings.
part of Examples
Students are directed to visit the MacTutor History of Mathematics Archive and read an extensive online article entitled History of Pi; in addition, they make use of an interactive simulation of Buffon's Needle experiment. Afterwards, they answer several questions on how mathematicians calculated approximations for the value of pi and on the formulas that they used; they also discuss and analyze Buffon's experiment.
JiTT - Threats to Biodiversity part of Examples
1) How is climate change a threat to biodiversity? 2) What are the impacts of pesticides on animals (including insects) and humans? 3) Can human population growth really impact biodiversity? Explain your viewpoint.
JiTT - The Legs of Snakes and Whales part of Examples
1) What are the adaptations needed to move from water to land (whether it be an arthropod or a "pioneering amphibian")? 2) Could snakes be linked to marine lizards? What your view and interpretations of ...
JiTT - Neanderthals and Modern Humans part of Examples
1) What are Neanderthals? How do they differ from modern humans? 2) Discuss some of the new ideas as to why early human ancestors dispersed from Africa. 3) What are DNA studies telling us about human migrations and ...
JiTT - The Big 5 Extinctions and Then Some part of Examples
1) What are the three leading ideas for the cause of the Permian mass extinction? What is the evidence for and against each? 2) Why are tropical forest species going extinct the quickest? 3) What are the ...
JiTT - Life in the Sahara Desert part of Examples
1) What the Sahara always a desert? How do we know? (*NOTE: for this question, I want you to focus on the physical environment) 2) What modern-day animals can be found in the desert? How do they survive? 3) Why ...
JiTT - La Brea Tar Pits part of Examples
1) What is "tar" and how does it form? 2) List the animals that have been uncovered in the tar pits that you didn't know were native to North America. Why do you think these animals are now extinct? ...
Pythagorean Theorem Investigations part of Examples
Secondary Math Ed majors or Geometry students are directed to a Web site where they read through a rich and extensive collection of proofs of the Pythagorean Theorem, some accompanied by Java applets. Each student then selects two proofs to prepare to present to the class-a geometric proof and a visual proof-and writes a detailed outline of each proof. The student also indicates one additional proof that was of particular interest and the reason(s) for its selection.