Slide Contents

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Slide Contents

• Title Page
• Introduction
• Summary Findings
• Detailed Findings
• History of Math
• S.O.S. Math
• Math Forum_at_ Drexel
• Beam
• Careers in Math
• Math as a Life Cycle
• Conclusion
• Appendix
• Closing Remarks

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Title Page

• Eunethia Williams
• Email ewilliams_at_holyfamily.edu
• Website http//eunethia.angelfire.com
• Education 504 Computers and Technology
• Researched Topic Math for Secondary Schools
• Prepared July 18, 2007

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Introduction

• Internet resources increasingly more connected
  with the classroom setting.
• The websites were documented in Internet Address
  Book (IAB) under the file name WilliamsEunethiaA3A
  (IAB).doc.
• This research report reviewed twenty (20)
  websites to link websites to the classroom
  learning experience.
• All the websites were rated in the Internet
  Address Book and notations as excerpts were
  logged in a separate file called
  WilliamsEunethiaA3BResExc.doc.
• The research report will elaborate on five (5) of
  these websites to present an effective
  curricular base for teaching mathematics in
  Secondary schools.
• This curriculum development aid focuses on
  interactive learning with an introduction to the
  history of math followed by lessons, tutorials,
  games for higher order thinking and ends with a
  sampling of career paths in math.
• The goal of this curriculum is to prepare the
  math student with knowledge of how to perform in
  mathematics along with a sound introduction of
  the history of math and knowledge of possible
  career paths where math skills are needed.

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Summary Findings

• The choice of twenty (20) took some thought about
  what would really be useful for teaching
  mathematics in Secondary schools. I settled on a
  mix of websites that would provide a well rounded
  base for math curriculum development and that
  would be both challenging and interesting. The
  twenty websites consisted of the following
  breakdown
• History 3, Lessons/Tests, 3Tutorials 5,
  Instructional Materials 2
• Resource Materials/Books 3, Professional
  Society/Newsletter 1
• Math Careers 1, Games 2
• Most of these websites were given ratings of
  4-5(1worst, 5Best). A selection of the top
  five websites are listed below. All of these top
  websites received an overall rating of five (5).
• History of Math http//aleph0.clarku.edu/djoyce/m
  athhist/
• S.O.S Math http//www.sosmath.com/calculus/calculu
  s.html Good tutorials
• Math Forum _at_ Drexel http//mathforum.org/library/r
  esource_types/instructional_soft/
  Resources/Tutorials, includes Library/Archives
• Beam http//www.beam.co.uk/ Games, Maths of the
  Month feature
• Careers in Math http//www.math.utep.edu/mathmajor
  /career.html

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Detailed Findings

• History of Math
• The website History of Math http//aleph0.clarku
  .edu/djoyce/mathhist/ presents a good
  introduction to the history of mathematics. It
  talks about how a leading turn of the century
  mathematician named David Hilbert summarized the
  most important problems in mathematics down
  through the ages. He called them the 23 most
  important mathematical problems. Here are a
  sampling of the 23
• Problem 1.Cantor's problem of the cardinal number
  of the continuum. (The continuum hypothesis.) K.
  Gödel. The consistency of the axiom of choice and
  of the generalized continuum hypothesis.
  Princeton Univ. Press, Princeton, 1940. Problem
  2.The compatibility of the arithmetical axioms.
  Problem 3.The equality of two volumes of two
  tetrahedra of equal bases and equal altitudes.V.
  G. Boltianskii. Hilbert's Third Problem Winston,
  Halsted Press, Washington, New York, 1978. C. H.
  Sah. Hilbert's Third Problem Scissors
  Congruence. Pitman, London 1979. Problem
  4.Problem of the straight line as the shortest
  distance between two points. (Alternative
  geometries.)

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Detailed Findings

• S.O.S. Math. http//www.sosmath.com/calculus/calcu
  lus.html
• Sample Topics
• SEQUENCES
• Introduction to Sequences
• Basic Definitions
• Limit of a Sequence
• More on Limit of a Sequence
• Some Special Limits
• More Challenging Limits
• More Problems on Sequences
• Stirling's Formula

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Detailed Findings

• The Math Forum _at_ Drexel
• The website http//mathforum.org/library/resource_
  types/instructional_soft/ Math Forum at Drexel is
  an all around excellent resource for tutorials
  and resources. It operates under the School of
  Education at Drexel. The forum tabulates 315
  sites and has a library with an archive. It also
  provides a dictionary for mathematics. It
  includes plenty of games, lessons and interactive
  activities. In addition, it offers workshops and
  interactive services from experts in math. This
  website would be a foundational resource for my
  teaching. I am well acquainted with Drexels
  quality in education. (I was taught there. ) I
  highly recommend this website. This is one that
  I will surely use a lot!

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Detailed Findings

• Beam
• Beam http//www.beam.co.uk/ is good for Games/
  Maths of the Month.
• Making mathematics interesting, challenging and
  enjoyable
• We recognise that children learn most effectively
  through investigation, enquiry and discussion
  and all of our resources and training have been
  developed with this in mind. We hope you enjoy
  browsing through our website, to see what we can
  offer.Sign up for our monthly email newsletter,
  the BEAM Bulletin.Have you tried our free
  Maths of the Month activities yet? We add new
  ones for you to download and use every
  month.Postgraduate Certificate in Professional
  Learning Click here for more details.

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Detailed Findings

• Careers in Math
• The website http//www.math.utep.edu/mathmajor/car
  eer.html provides information about eight (8)
  careers in math. A listing follows.
• Actuary
• College and University Faculty / Researcher
• Computer Scientist and Computer Engineer
• Industrial Mathematician
• Operations Research Analyst
• School Teacher - Kindergarten, Elementary, and
  Secondary (K-12)
• Statistician
• Systems Analyst
• This website is a good way to complete the
  students thinking about mathematics. Math does
  lead to financial security! Integrating this
  website topic into the base math curriculum for
  high school students breaks up the monotony of
  numbers and focuses them on what inevitably comes
  after high school-Life!

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Math as a Life Cycle

• History of Math
• Lessons
• Tutorials
• Games
• Careers in Math

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Conclusion

• All of the 20 websites are very valuable tools
  and resources for math in Secondary schools. The
  resources are comprehensive foundational
  materials that can accommodate large classroom
  sizes.
• I would recommend grouping the websites into
  curricular bases like I ordered my top five
  websites to complete thinking about math as a
  life cycle. Teachers could also use these
  websites for theme building such as Tutorials.
• Overall, I would conclude that these 20 websites
  are high quality enough to be used as a mini
  database for math curriculum development.

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Appendix

• Personal Research File Links
• Following are links to the files that were used
  for this report.
• Internet Address Book
• Research Excerpts File
• Video of Eunethia
• OCR Scan of sample page of Research Report
• Image Scan of Math Life Cycle
• Closing Remarks Audio

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• Closing Remarks