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Descriptive Statistics




Intended for grades 6-8
 By Daniela Maddaloni
TECHNOLOGY INTEGRATION
• Descriptive statistics is widely applied and is used in
  everyday life. Today, statistics and technology go hand-
  in-hand. Statisticians rely on technology
  (computers, software packages, etc.) to perform data
  analysis and decision-making since they ease tedious
  computations and graph creations. Therefore, it only
  makes sense to teach statistics through technology.
  Using up-to-date online research data will enable
  students to connect what is learned in class to the
  outside world, which increases their motivation to
  achieve.
                     Access using WMV
                     Access using Flash
TECHNOLOGY INTEGRATION
              CONTINUED
• Today’s advanced and instructional technologies
  (software packages, simulations/animations, graphing
  calculators, analysis tools, accessible and real-world
  data, etc.) allow students to better visualize and
  understand statistical concepts and issues.
• Using the Internet to play fun online games and quizzes
  keeps students engaged and provides immediate
  feedback for their success.
                     Access using WMV
                     Access using Flash
INTERNET CONTENT
• Countless students often ask their teachers: “Why do
  we have to learn this? What’s the point?” Taking
  advantage of the ever-advancing internet – writing
  blogs, tuning in to podcasts, and watching instructional
  videos – provides opportunities for students to witness
  how important, useful, and relevant this topic is on a
  global level. The internet is a great and priceless
  resource for students to access realistic and current
  statistical information, and to see for themselves how
  the world revolves around statistical research.
• The following three slides provide examples of some
  content made available by the Internet.
INTERNET BLOGS




(Click on image to view BLOG website)
INTERNET PODCASTS




(Click on image to view PODCAST website)
INTERNET VIDEOS




(Click on image to view INSTRUCTIONAL VIDEO)
INTERNET RESOURCES
• The Internet is home to many reliable,
  accurate, and up-to-date statistical
  information and analysis presented by
  various non-profit organizations and
  government agencies.
• The following two slides provide some of
  these resources.
INTERNET RESOURCES
• Khan Academy          (CLICK LINK TO ACCESS WEBSITE)

  – This non-profit organization provides free online
    tutorials and lessons for various topics of
    mathematics, history, chemistry, biology,
    computer science, and more.
• STATS   (CLICK LINK TO ACCESS WEBSITE)

  – This organization takes a look at the major issues
    and news stories from a statistical point of view.
    Viewers can glance at in-depth analysis,
    percentages, blogs, various resource links,
    articles, and more.
MORE INTERNET RESOURCES
• United Nations Statistics Division
      (CLICK LINK TO ACCESS WEBSITE)

  – This organization’s main functions:
     • Gathers, processes, and discloses statistical
       information
     • Coordinates statistical activities and programming
       on an international level
     • Standardizes statistical
       definitions, classifications, and methods
INSPIRATION
TEACHING MATERIALS
• I can create my own quizzes. I can assign a practice-
  quiz for homework the day before I give my
  students a test. http://quizstar.4teachers.org/
                        (CLICK LINK TO ACCESS WEBSITE)


• My students can practice problems and complete
   worksheets. They can also watch video lessons.
 http://www.adaptedmind.com/p.php?tagId=1011#
             (CLICK LINK TO ACCESS WEBSITE)
MORE TEACHING MATERIALS
 • I can choose from many diverse and interactive
   statistical activities for my students to engage in.
   http://www.shodor.org/interactivate/activities/

 • I can create custom puzzles for my students to
   complete. They can also access worksheets.
   http://www.edhelper.com/math.htm




(CLICK LINKS TO ACCESS WEBSITE)
SUBJECT-SPECIFIC RESOURCE
• http://www.mathgoodies.com/lessons/toc_vol8
  .html (CLICK LINK TO ACCESS WEBSITE)
   – This website provides me with sample lesson
     plans on
     mean, median, mode, range, challenging
     exercises, and more.
INTERNET USES
• Online Data Sources
  – http://www.indiana.edu/~statmath/
     • This website makes more than thirty
       mathematical and statistical software packages
       available. It provides information for each
       package as well as tutorials for how to use
       them. Moreover, it provides access to free
       software consultants.
  – http://wps.aw.com/aw_weiss_introstats_8/
     • The purpose of this website is to help viewers
       better understand statistical concepts by
       collaborating and interacting with simulations
       and graphical demonstrations, and by analyzing
       real data.
                                   (CLICK LINKS TO ACCESS WEBSITES)
INTERNET USES CONTINUED
 • Online Projects
     – http://www.globalschoolnet.org/gsnpr/index.cfm
        • This website provides teachers with the tools
          that support the constructivist teaching
          approach, future thinking strategies, and
          project-management standards. Teachers can
          browse current and archived projects from the
          around the world on countless subjects and
          topics.


(CLICK LINKS TO ACCESS WEBSITE)
WEB 2.0




(Click on image to view YouTube video)
RUBRICS AND ASSESSMENT
• Rubrics are a useful guide to assessing student
  achievement and learning.
• http://www.teach-
  nology.com/web_tools/rubrics/general/
   – This website provides a template for teachers to
     produce their own rubrics for any class projects
     or assignments. I find this site easy to use
     because it outlines the rubric for me and I only
     have to fill in the blanks. My students are able to
     assess themselves using my carefully-planned
     rubric prior to submitting any data using Google
     Docs.
   (CLICK LINK TO ACCESS WEBSITE)

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Maddaloni, daniela, descriptive statistics

  • 1. Descriptive Statistics Intended for grades 6-8 By Daniela Maddaloni
  • 2. TECHNOLOGY INTEGRATION • Descriptive statistics is widely applied and is used in everyday life. Today, statistics and technology go hand- in-hand. Statisticians rely on technology (computers, software packages, etc.) to perform data analysis and decision-making since they ease tedious computations and graph creations. Therefore, it only makes sense to teach statistics through technology. Using up-to-date online research data will enable students to connect what is learned in class to the outside world, which increases their motivation to achieve. Access using WMV Access using Flash
  • 3. TECHNOLOGY INTEGRATION CONTINUED • Today’s advanced and instructional technologies (software packages, simulations/animations, graphing calculators, analysis tools, accessible and real-world data, etc.) allow students to better visualize and understand statistical concepts and issues. • Using the Internet to play fun online games and quizzes keeps students engaged and provides immediate feedback for their success. Access using WMV Access using Flash
  • 4. INTERNET CONTENT • Countless students often ask their teachers: “Why do we have to learn this? What’s the point?” Taking advantage of the ever-advancing internet – writing blogs, tuning in to podcasts, and watching instructional videos – provides opportunities for students to witness how important, useful, and relevant this topic is on a global level. The internet is a great and priceless resource for students to access realistic and current statistical information, and to see for themselves how the world revolves around statistical research. • The following three slides provide examples of some content made available by the Internet.
  • 5. INTERNET BLOGS (Click on image to view BLOG website)
  • 6. INTERNET PODCASTS (Click on image to view PODCAST website)
  • 7. INTERNET VIDEOS (Click on image to view INSTRUCTIONAL VIDEO)
  • 8. INTERNET RESOURCES • The Internet is home to many reliable, accurate, and up-to-date statistical information and analysis presented by various non-profit organizations and government agencies. • The following two slides provide some of these resources.
  • 9. INTERNET RESOURCES • Khan Academy (CLICK LINK TO ACCESS WEBSITE) – This non-profit organization provides free online tutorials and lessons for various topics of mathematics, history, chemistry, biology, computer science, and more. • STATS (CLICK LINK TO ACCESS WEBSITE) – This organization takes a look at the major issues and news stories from a statistical point of view. Viewers can glance at in-depth analysis, percentages, blogs, various resource links, articles, and more.
  • 10. MORE INTERNET RESOURCES • United Nations Statistics Division (CLICK LINK TO ACCESS WEBSITE) – This organization’s main functions: • Gathers, processes, and discloses statistical information • Coordinates statistical activities and programming on an international level • Standardizes statistical definitions, classifications, and methods
  • 12. TEACHING MATERIALS • I can create my own quizzes. I can assign a practice- quiz for homework the day before I give my students a test. http://quizstar.4teachers.org/ (CLICK LINK TO ACCESS WEBSITE) • My students can practice problems and complete worksheets. They can also watch video lessons. http://www.adaptedmind.com/p.php?tagId=1011# (CLICK LINK TO ACCESS WEBSITE)
  • 13. MORE TEACHING MATERIALS • I can choose from many diverse and interactive statistical activities for my students to engage in. http://www.shodor.org/interactivate/activities/ • I can create custom puzzles for my students to complete. They can also access worksheets. http://www.edhelper.com/math.htm (CLICK LINKS TO ACCESS WEBSITE)
  • 14. SUBJECT-SPECIFIC RESOURCE • http://www.mathgoodies.com/lessons/toc_vol8 .html (CLICK LINK TO ACCESS WEBSITE) – This website provides me with sample lesson plans on mean, median, mode, range, challenging exercises, and more.
  • 15. INTERNET USES • Online Data Sources – http://www.indiana.edu/~statmath/ • This website makes more than thirty mathematical and statistical software packages available. It provides information for each package as well as tutorials for how to use them. Moreover, it provides access to free software consultants. – http://wps.aw.com/aw_weiss_introstats_8/ • The purpose of this website is to help viewers better understand statistical concepts by collaborating and interacting with simulations and graphical demonstrations, and by analyzing real data. (CLICK LINKS TO ACCESS WEBSITES)
  • 16. INTERNET USES CONTINUED • Online Projects – http://www.globalschoolnet.org/gsnpr/index.cfm • This website provides teachers with the tools that support the constructivist teaching approach, future thinking strategies, and project-management standards. Teachers can browse current and archived projects from the around the world on countless subjects and topics. (CLICK LINKS TO ACCESS WEBSITE)
  • 17. WEB 2.0 (Click on image to view YouTube video)
  • 18. RUBRICS AND ASSESSMENT • Rubrics are a useful guide to assessing student achievement and learning. • http://www.teach- nology.com/web_tools/rubrics/general/ – This website provides a template for teachers to produce their own rubrics for any class projects or assignments. I find this site easy to use because it outlines the rubric for me and I only have to fill in the blanks. My students are able to assess themselves using my carefully-planned rubric prior to submitting any data using Google Docs. (CLICK LINK TO ACCESS WEBSITE)

Editor's Notes

  1. This background design was taken from “Images” on Google.com.This can also be accessed at http://www.imrcorp.com/innovative-marketing-blog/bid/58078/10-Inbound-Marketing-Statistics-You-Need-to-Know
  2. This blogging site allows statistical experts from around the world to discuss new developments, share information, and to help each other find better ways to publically disclose their statistical research. By viewing these interesting and professional blogs, students are reminded of how often statistics is used in everyday life. Blog website:http://blogstats.wordpress.com/According to http://www.thebestcolleges.org/best-statistics-blogs/ , this professional blogging site is listed among the Top 50 Statistics Blogs of 2011.This image was copied from Microsoft Office Online Images – also available at http://office.microsoft.com/en-us/images/results.aspx?qu=statistics&ex=2#ai:MC900365662|
  3. The leaders of this online radio show attempt to make sense of the numbers behind the news and everyday life. This podcast tackles the modern statistical issues which pertain to news topics. Students can remain up-to-date with current issues and can appreciate the high values of statistical knowledge and understanding. These issues and findings can capture the interest of many students since they include a wide range of topics.Podcast website: http://www.bbc.co.uk/podcasts/series/moreorlessThis podcast show is part of the British Broadcasting Corporation (BBC), which services countries around the globe. It is the largest broadcaster in the world. BBC’s homepage can be accessed at http://www.bbc.co.uk/This image was taken from “Images” on Google.com – also available at http://www.bbc.co.uk/podcasts/series/moreorless
  4. This particular video discusses and explains mean, median, and mode. This Kahn Academy video is just one of many examples where my students can easily access an accurate, instructional video related to the topic that they are learning in class. It is a great way for students to refresh their memory, obtain further information, and to learn statistical topics in a different light. This instructional website was found on https://www.khanacademy.org/ (Kahn Academy), which was introduced by Module 6, Task #5. This image was taken from “Images” on Google.com – also available at http://theassailedteacher.com/2012/02/05/finally-more-criticism-of-the-khan-academy/
  5. “Khan Academy” – https://www.khanacademy.org/ This website was introduced by Module 6, Task #5.“STATS” – http://www.stats.org/ This organization is an affiliate of George Mason University in Virginia (http://www.gmu.edu/). It has been recognized for its achievements in cracking down scientific and statistical misinformation. STAT’S’ successful work has been featured on “The NewsHour with Jim Lehrer”, NBC’s “Nightly News”, and ABC’s “20/20”. It has also been printed by The New York Times, Wall Street Journal, US News and World Report, New Scientist, Washington Post, New England Journal of Medicine, and many more.
  6. “United Nations Statistics Division” – http://unstats.un.org/unsd/default.htm This is the official website of the well-known organization. It has been around for over sixty years in collecting and disseminating updated statistical information around the world. It is globally recognized for its achievements in service, professionalism, and integrity. For further information and proof of reliability, please see http://unstats.un.org/unsd/statcom/brochures/UNSD_Brochure.pdf
  7. This graphic organizer was created by Inspiration 9 (Module 9, Task #1).How would this diagram/GO be used in an actual lesson?I use this graphic organizer on Microsoft PowerPoint to first introduce mean to my students. It contains all the necessary information to understand and calculate the mean. I also print and distribute this to all of my students so that they can refer to it in their notes. This is a great organizer since it also includes an example for my students to fall back on.How does this visual enhance student understanding of the topic?My students are able to see how definitions and formulas are connected. Each student can better understand the calculating process since this graphic organizer breaks everything down to the basic concepts. By talking through my lesson using this graphic organizer, I know that I am reaching those students who are visual and auditory learners.
  8. http://quizstar.4teachers.org/ was found through http://www.4teachers.org/ (taken from Module 6, Task #3).http://www.adaptedmind.com/p.php?tagId=1011# was found through http://scrtec.org/track/(taken from Module 6, Task #3).
  9. http://www.shodor.org/interactivate/activities/was found through http://scrtec.org/track/ (taken from Module 6, Task #3).http://www.edhelper.com/math.htm was found through http://www.edhelper.com/ (taken from Module 6, Task #3).
  10. http://www.mathgoodies.com/lessons/toc_vol8.html was found throughhttp://www.mathgoodies.com/ (taken from the “Resources” section of the Blackboard website – Module 6, Task#4)
  11. http://www.indiana.edu/~statmath/ was found through http://math.whatcom.ctc.edu/realdata/realdata.htm (taken from Module 7, Task #1).This website provides me with the information I need to rightfully choose which software package is the most effective for teaching my students. Software packages help compute tedious calculations and analyzing/interpreting statistical data.http://wps.aw.com/aw_weiss_introstats_8/was found through http://www.awl.com/weiss/e_iprojects/c01/chap01.htm(taken from Module 7, Task #1). This website works alongside the Introductory Statistics textbook by Neil A. Weiss. It provides Internet projects, case studies, data sets, and more for my students to work on.
  12. http://www.globalschoolnet.org/gsnpr/index.cfmwas taken from Module 7, Task #1. This website is perfect for finding fun and hands-on statistical projects for my students to engage in.
  13. Our class projects involve collecting and analyzing our own data. Google Docs makes it easier for my students to instantly collaborate and share data-packed information with me. Thanks to Google Docs, my students can send me any project-related Microsoft Excel files, documents, spreadsheets, or presentations using the Internet. I can easily notice who is not paying attention in class (or who is not doing their work) when I either do not receive any files from students (from Google Docs) or when the information/data is far from correct. Therefore, using Google Docs is a way to remind my students that they must participate in class and individually complete all work. Watch the YouTube video on Google Docs (introduced by Module 7, Task #1): http://www.youtube.com/watch?v=VyzAVuEj56sGoogle Docs website: http://www.docs.google.com/For more information on Google Docs and how it enhances collaboration, please visit: http://teacherlink.ed.usu.edu/tlresources/training2/Google/GoogleCollab.pdfThis image was taken from “Images” on Google.com – also available at http://edudemic.com/2010/06/41-new-ways-google-docs-makes-your-life-easier/
  14. http://www.teach-nology.com/web_tools/rubrics/general/ was taken from Module 6, Task #6.