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Preservice Teachers Experiencing Mathematics through Moon Projects and Spinning Tops
Unformatted Document Text:  Table 2 – Embedded mathematics within students’ follow-up Moon projects. Student follow-up Moon project Mathematics utilized How does light pollution affect what we can see? ¾ Star counts from city parking lot, from in-town home, and from rural location. ¾ Percentage differences in star counts. What relationships can be found between the rise and set times of the Moon and Sun? ¾ Collected data from the local paper and a naval website on the Moon and Sun rise and set time. ¾ Graphical representation of data to compare the differences in the changes in time. How does the Moon affect crime? ¾ Research statistics from Internet. ¾ Collected data on number of crimes per day committed in Lubbock, Texas in 2002. ¾ Graphical representation of data comparing the average number of crimes per day with the actual number of crimes per full Moon day (in Lubbock). Is there a correlation between the full Moon and cattle behavior? ¾ Research statistics from Internet and from personal interviews. ¾ Graphical representation of data (scatter plots and pie charts). What are the phases and positions of other planets relative to Earth? ¾ Examined planetary elliptical orbits, ecliptics and angles of inclination, planetary rotations, and relative orbital sizes. References Bishop, A. S. (1988). Mathematical enculturation: A cultural perspective on mathematics education. Dordrecht, The Netherlands: Kluwer. Borasi, R., & Siegel, M. (1992, August). Reading, writing, and mathematics: Rethinking the “basics” and their relationship. Paper presented at the 7th International Congress on Mathematics Education, Quebec City, Canada. Dewey, J. (1933). How we think. Boston: Heath. Duckworth, E. (1996). The having of wonderful ideas. NY: Teachers College Press. Kelly, C. (1999). Gender and inquiry: An investigation into identifying and defining the role of inquiry in higher-order thinking. European Journal of Teacher Education, 22 (1), 101-114. Llewellyn, D. (2002). Inquire within. Thousand Oaks, CA: Corwin Press. McMillan, S. and Wilhelm, J. (in progress). Knowing from unknowing.National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, Va.: NCTM National Research Council. (1996). National science education standards. Washington, DC: National Academy Press. Peirce, C. S. (1982). The fixation of belief. In H.S. Thayer (Ed.), Pragmatism: The classic writings (61-78). Indianapolis, IN: Hackett. (Original work published 1877). Richards, J. (1991). Mathematical discussions. In E. von Glasersfeld (Ed.), Radical constructivism in mathematics education (pp. 13-51). Dordrecht, The Netherlands: Kluwer. Schifter, D. (1998). Learning mathematics for teaching: From a teachers seminar to the classroom. Journal of Mathematics Teacher Education, 1: 55-87. Skagestad, P. (1981). The road of inquiry, Charles Peirce’s pragmatic realism. New York: Columbia University Press.

Authors: Wilhelm, Jennifer., Cooper, Sandi. and McMillan, Sally.
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Table 2 – Embedded mathematics within students’ follow-up Moon projects.
Student follow-up Moon project
Mathematics utilized
How does light pollution affect
what we can see?
¾ Star counts from city parking lot, from in-town
home, and from rural location.
¾ Percentage differences in star counts.
What relationships can be
found between the rise and set
times of the Moon and Sun?
¾ Collected data from the local paper and a naval
website on the Moon and Sun rise and set time.
¾ Graphical representation of data to compare
the differences in the changes in time.
How does the Moon affect
crime?
¾ Research statistics from Internet.
¾ Collected data on number of crimes per day
committed in Lubbock, Texas in 2002.
¾ Graphical representation of data comparing the
average number of crimes per day with the actual
number of crimes per full Moon day (in Lubbock).
Is there a correlation between
the full Moon and cattle behavior?
¾ Research statistics from Internet and from
personal interviews.
¾ Graphical representation of data (scatter plots
and pie charts).
What are the phases and
positions of other planets relative
to Earth?
¾ Examined planetary elliptical orbits, ecliptics
and angles of inclination, planetary rotations, and
relative orbital sizes.
References
Bishop, A. S. (1988). Mathematical enculturation: A cultural perspective on mathematics
education. Dordrecht, The Netherlands: Kluwer.
Borasi, R., & Siegel, M. (1992, August). Reading, writing, and mathematics: Rethinking the
“basics” and their relationship. Paper presented at the 7th International Congress on
Mathematics Education
, Quebec City, Canada.
Dewey, J. (1933). How we think. Boston: Heath.
Duckworth, E. (1996). The having of wonderful ideas. NY: Teachers College Press.
Kelly, C. (1999). Gender and inquiry: An investigation into identifying and defining the role of
inquiry in higher-order thinking. European Journal of Teacher Education, 22 (1), 101-114.
Llewellyn, D. (2002). Inquire within. Thousand Oaks, CA: Corwin Press.
McMillan, S. and Wilhelm, J. (in progress). Knowing from unknowing.
National Council of Teachers of Mathematics. (2000). Principles and standards for school
mathematics. Reston, Va.: NCTM
National Research Council. (1996). National science education standards. Washington, DC:
National Academy Press.
Peirce, C. S. (1982). The fixation of belief. In H.S. Thayer (Ed.), Pragmatism: The classic
writings (61-78). Indianapolis, IN: Hackett. (Original work published 1877).
Richards, J. (1991). Mathematical discussions. In E. von Glasersfeld (Ed.), Radical
constructivism in mathematics education (pp. 13-51). Dordrecht, The Netherlands: Kluwer.
Schifter, D. (1998). Learning mathematics for teaching: From a teachers seminar to the
classroom. Journal of Mathematics Teacher Education, 1: 55-87.
Skagestad, P. (1981). The road of inquiry, Charles Peirce’s pragmatic realism. New York:
Columbia University Press.


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