MATHEMATICS
RESOURCE LIST—WEB BASED RESOURCES
This package contains references to selected websites which
support the Chance and Data content area.
2011/21123[v2]
Mathematics: Resource list—web based resources
1
Copyright
© School Curriculum and Standards Authority, 2012
This document—apart from any third party copyright material contained in it—may be freely copied, or communicated on an intranet, for
non-commercial purposes by educational institutions, provided that it is not changed in any way and that the School Curriculum and
Standards Authority is acknowledged as the copyright owner.
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Copying or communication for any other purpose can be done only within the terms of the Copyright Act or by permission of the School
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Copying or communication of any third party copyright material contained in this document can be done only within the terms of the
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Disclaimer
Any resources such as texts, websites and so on that may be referred to in this document are provided as examples of resources that
teachers can use to support their learning programs. Their inclusion does not imply that they are mandatory or that they are the only
resources relevant to the course.
2
Mathematics: Resource list—web based resources
MATHEMATICS: CHANCE AND DATA
RESOURCE LIST—WEB BASED RESOURCES
The following links will direct you to websites outside the Authority’s site. The School Curriculum
and Standards Authority has no control over the content of materials accessible on the sites that
are cross-referenced. It is the responsibility of the user to make decisions about the relevance and
accuracy, currency and reliability of information found on these websites. Linking to these sites
should not be taken as endorsement of any kind. We cannot guarantee that the links will work all
of the time and we have no control over availability of the linked pages. It is your responsibility to
check that this information is accurate.
The resources listed on the next pages are linked to different units in the Mathematics: Specialist
course. The links were live when accessed in July 2012. The resources are classified as:
App
Dat
XL
ASt
ATe
Qu
Act
These are Java Applets with dynamic capabilities which could be used to
demonstrate mathematical relationships to a class or could be used by students.
The datasets, often in .txt (text), .dat (data) or .csv (comma separated variable
files) form have been chosen to suit the development or assessment of the
statistical relationships described in the Mathematics units.
Excel files that could be used by students or for demonstration.
These articles could be provided to students to stimulate interest in statistics or to
demonstrate questionable use of statistics. They are from the database provided
by the Mercury newspaper in Hobart, but the issues addressed are of national
relevance.
These articles are included as a resource for teachers. They report approaches
to statistics teaching, classroom use of data sets and historical background.
Questions are included that could be used for assessment or in teaching.
Activities: The links in this category describe classroom activities.
This document lists the Websites by units
The following links will take the reader to the front end of a given website. For example
Name of Website
URL eg: http://nlvm.usu.edu/
It is policy that the Authority does not provide ‘deep links’ due to copyright issues. There is
however a pathway included which will guide the reader to the particular page of the website. The
pathway (see below) tells the reader where to find the link to the next page or site.
►Select ►Data Analysis 9-12 ►Spinners
Mathematics: Resource list—web based resources
3
PAMAT/PBMAT
PA 3.1.1; PB 3.5.1; PB 3.5.2
Dat
US Pharmacopeial
http://www.usp.org/audiences/consumers/
Free download of pictograms after free registration
►Select ►Downloading the USP Pictogram Library
PA/PB 3.1
ATe
Teaching Statistics
http://www.rsscse.org.uk/ts/
This is an International journal for teachers. It caters for teachers of pupils up to 19 years
An article on collecting, recording and grouping categorical data
Content could be adapted to suit Year 11-12 interests
►Scroll down to Select ►Getting the best from teaching statistics ►Primary School focus
►Graphing in the Primary school
PA/PB 3.1
Dat #(2)
WA Australian Bureau of Meteorology
Weather and climate data from WA Australian Bureau of Meteorology —
http://www.bom.gov.au/wa
►Climate Information
1AMAT
3.1.1 App
National Library of Virtual Manipulatives
http://nlvm.usu.edu/
This is a library of Data analysis and Probability simulation software such as; Spinners or Coin
tossing
►Select ►Data Analysis 9-12 ►Spinners
3.3.2 Dat
ASt
Government of Western Australia Database
http://wa.gov.au/
Summarises road fatalities by region
►Select ►Community safety ►Fatal crash statistics
3.4.7 Dat #(2)
Australian Bureau of Meteorology
http://www.bom.gov.au/climate/how/
►Select ►How to get climate data
4
Mathematics: Resource list—web based resources
3.5.6 Qu
Kida Maths Games
http://www.netrover.com/~kingskid/Math/math.htm
This worksheet generator will make hundreds of different worksheets. It does not use stored
sheets. Great for primary graphing
►Select ►Make graph worksheets
1BMAT
3.2.1 ATe
Teaching Statistics
http://www.teachingstatistics.co.uk/?page_id=357#one
is an International journal for teachers which caters for teachers of pupils up to 19 years.
Article on the use of data cards in the journal Teaching Statistics—cards could be adapted to suit
Year 11 interests
►Select ►Getting the best of teaching statistics ►Students’ Understanding ►Data handling ►An
introduction to higher order processes
3.3.5 Dat
ASt
Government of Western Australia Database
http://wa.gov.au/governmentservices/communitysafety/roadsafetyawareness/
(Road fatalities by region) Learner drivers material that includes information on road fatality causes
►Select ►Fatal crash statistics
3.2.6 ATe
Journal of Statistics Education
http://www.amstat.org/publications/
The Early History of Average Values and Implications for Education by Arthur Bakker
►Search this site ►Arthur Bakker ►The Early History of Average Values and Implications for
Education
3.2.6 Qu
Coventry University Mathematics Support Centre
http://www.coventry.ac.uk/ec/maths_centre/statistics_ws.html
Worksheets and diagnostic tests on average
►Select ►Averages
3.2.6 ; 3.2.7 ; 3.2.8 ; 3.3.7
App
WISWEB- Freudenthal Institute
http://www.fi.uu.nl/wisweb/en/
Generates horizontal bar graph for your own or provided data
Vertical value bar can be dragged. Suit graphical introduction to ‘average’ as a representative
value, mean as a balance point, median as middle value, and spread
►Select ►applets (in text) ►Statistics and Probability ►Minitool 1
Mathematics: Resource list—web based resources
5
3.3.3 Dat #2)
Australian Bureau of Meteorology
http://www.bom.gov.au/climate/data/
Weather data
►Climate Information
3.3.7 App #(5)
WISWEB
Generates Dot-plots for student’s own or provided data
Suit establishing mean, median and mode as typical or representative values
http://www.fi.uu.nl/wisweb/en/
►Select: applets (in text) ►Statistics and Probability ►Minitool 2
1CMAT
3.1.1 Dat #(2)
Australian Bureau of Meteorology
http://www.bom.gov.au/climate/data/
Weather data
►Climate Information
3.1.1 Act
Australian Bureau of Meteorology
http://www.bom.gov.au/lam/Students_Teachers/learnact.htm#ma
Teaching notes and student worksheet on El Niño climate conditions
►Select ►What’s the chance of rain ►Teachers’ lesson plan 3
3.2.1 ATe
The Centre for Innovation in Mathematics Teaching (CIMT)
http://www.cimt.plymouth.ac.uk/default.htm
Probability misconceptions
►Select ►CIMT Search (right hand column) ►Search Page ►Misconceptions 10B
3.1.1 App
National library of virtual manipulatives
http://nlvm.usu.edu/en/nav/vlibrary.html
Set up a spinner then operate the spinner and the results are recorded on column graph
►Select ►Data Analysis 9-12 ►Spinners
Interactivate
http://www.shodor.org/interactivate/
Set up a spinner then operate the spinner and the results are recorded in a table
►Select ►Learners Tools ►Probability ►Adjustable Spinner
6
Mathematics: Resource list—web based resources
3.2.1 ; 3.2.2 Qu
Diagnostic tests and worksheets on probability
http://www.coventry.ac.uk/ec/maths_centre/statistics_ws.html
►Select ►Probability 1
3.2.3 Dat #(1)
Australian Transport Safety
http://www.atsb.gov.au/
Database on aviation, marine, rail and road safety figures including fatalities by state, year, gender
etc
►Select ►Road Safety (left panel) ►Fatal Road Crash Database (right panel) ►Accept the
conditions
3.2.3 Dat ASt
Government of Western Australia
http://wa.gov.au//
Database (Road fatalities by region)
Learner drivers material that includes information road fatality causes
►Select ►Community Safety ►Road safety and awareness ►Fatal crash statistics
3.4.1 ; 3.5.1 ; 3.6.1 ; Dat
Ate
Bike race info
http://www.bikeraceinfo.com
ASt
Time series data on the Tour de France giving the year of race, age of winner, no trend average
speed data 1903-2007
BBC Sport
http://news.bbc.co.uk/sport1/hi/other_sports/cycling/2064819.stm
Year of race, average speed of winner, linear trend
Suggested task: Students ask questions about the data, predict the answers, and graph the data to
answer the questions Information and stories about the race
►Select ►Tour De France (left)
3.6.1 App
Baby name wizard
http://www.babynamewizard.com/namevoyager
Interpret frequency graphs. Type in a name or first letter(s) of a name
Select: boys, girls or both
►Select ►Launch Name Voyager
Mathematics: Resource list—web based resources
7
1DMAT
3.2.5 Ate
ASt
Encyclopaedia Titanica
http://www.encyclopedia-titanica.org/
Information on the Titanic
3.2.2 Dat
ASt
Government of Western Australia Database
http://wa.gov.au//
(Road fatalities by region) Learner driver’s material that includes information road fatality causes
►Select ►Community Safety ►Road safety and awareness ►Fatal crash statistics
3.2.4 ATe
Journal of Statistics Education
http://www.amstat.org/publications/
The Early History of Average Values and Implications for Education by Arthur Bakker
►Search this site ►Arthur Bakker ►The Early History of Average Values and Implications for
Education
3.3.1 ASt
The MacTutor History of Mathematics archive
http://www-history.mcs.st-and.ac.uk/
Polar Area Diagram
►Select ►Biographies index ►Search ►Nightingale
3.1.5 ; 3.2
Dat #(2)
Climate Data Online- Australian Bureau of Meteorology
http://www.bom.gov.au/climate/data/
Climate Data Online provides access to a range of statistics, historical weather observations,
climatology maps, and other Australian climate data
►Climate Information
1EMAT
3.1.1 App
Interactivate
http://www.shodor.org/interactivate/
Set up a spinner then operate the spinner and the results are recorded in a table
►Select ►Learners Tools ►Probability ►Adjustable Spinner
8
Mathematics: Resource list—web based resources
3.1.1 ; 3.3.2 Qu
Probabilistic learning activities network
http://www.planetqhe.com/
Choose the spinner that could have generated given results
►Select ►Experimental versus theoretical ►Spinner ►Activity Button
3.2.2 & 3.2.3 Qu
Coventry University Mathematics Support Centre
http://www.coventry.ac.uk/ec/maths_centre/statistics_ws.html
Diagnostic tests and worksheets on probability
►Select ►Probability 1
2.1.2 ; 3.2.3 Qu
Balanced Assessment
http://balancedassessment.concord.org/
Probability and reverse area calculations
►Select ►Our library of assessment tasks ►Dart boards
3.3.4 App
Gizmos- Online Learning
http://www.explorelearning.com
Probability of landing in a defined area on a dart board. Simulates firing darts at a board
Conduct multiple trials, record results. Are the results what you would expect by chance
►Select ►Browse Mathematics Gizmos ►Grade 9-12 ►Data analysis and probability
►Probability ►Geometric Probability Activity A or B
3.5.1 Dat
ASt
Government of Western Australia Database
http://wa.gov.au/
(Road fatalities by region) Learner driver’s material that includes information road fatality causes
►Select ►Community safety ►Road safety and awareness ►Fatal crash statistics
2AMAT
3.1.1 ATe
Teaching Statistics
http://www.rsscse-edu.org.uk/tsj/?page_id=72
Is an International journal for teachers which caters for teachers of pupils up to 19 years
This article on sampling bias
►Search ►RW Madsen: Making students aware of bias
Mathematics: Resource list—web based resources
9
3.1.1 App
Maths Stuff
http://www.subtangent.com/
Suitable for probability investigation – similar to Pascal’s Triangle
A wonderful interactive version of this classical device
►Select ►Go to Investigations ►Go to Galton's Quincunx
3.2.5 ATe
Journal of Statistics Education
http://www.amstat.org/publications/jse/v11n1/bakker.html
The History of Average values and its implications for Education
►Search ►Archive (1993-2011) ►2003 (v11) ►Volume 11, Number 2 (July 2003) ►Arthur
Bakker ►The History of Average values and its implications for Education
3.2.7 Dat
Journal of Statistics Education
http://www.amstat.org/publications/jse/
Rowing team data: identify the data and explain the outlier
►Data archive ►Scroll down ►Rowing.dat
3.2.4 ; 3.3.3 ; 3.3.4 Dat #(3)
Climate Data Online- Australian Bureau of Meteorology
http://www.bom.gov.au/climate/data
Access to a range of weather data from a wide range of locations
►Select ►Climate Information
3.3.1 ; Dat
ASt
Government of Western Australia Database
http://wa.gov.au/
(Road fatalities by region) Learner drivers material that includes information on road fatality causes
►government services ►community safety ►road safety awareness ►Select ►Fatal crash
statistics
2BMAT
3.2.1 Dat # (3)
Australian Bureau of Meteorology - Weather data
http://www.bom.gov.au/climate/data/
Access to a range of weather data from a wide range of locations
►Climate Information
10
Mathematics: Resource list—web based resources
3.2.2; 3.2.3 Quid
Coventry University Mathematics Support Centre
http://www.coventry.ac.uk/ec/maths_centre/statistics_ws.html
Diagnostic tests and worksheets and on probability
►Select ►Probability 1
3.2.4 Dat
Government of Western Australia Database
http://wa.gov.au/
(Road fatalities by region) Learner driver’s material that includes information on road fatality
causes
►government services ►community safety ►road safety awareness ►Fatal crash statistics
3.4.1 Dat
The World Clock website
http://www.peterrussell.com/Odds/WorldClock.php
Various data sources
The World Clock website has continuously updated information about the world such as the world
population, number of births, number of deaths, number of cars and the number of barrels of oil
produced. It is a wonderful discussion starter for a number of maths topics including time series
data and rates of change (gradient)
3.4.2 Dat
Athletix
http://www.athletix.org/
Athletics records over the 20th century till now
►Select ►Statistics ►Scroll to ►World Records Progression
3.4.2; 3.5.1 Dat #(1)
Government of Western Australia Database
(Road fatalities by region) Learner driver’s material that includes information on road fatality
causes
http://wa.gov.au/
►government services ►community safety ►road safety awareness ►Fatal crash statistics
3.4.2
Dat; Ate; ASt
Bike race info
http://www.bikeraceinfo.com
Time series data on Tour de France giving the year of race, age of winner, no trend average speed
data 1903-2007 Suggested tasks: Students ask questions about the data, predict the answers,
and graph the data to answer the questions e.g. Compare the average speed of winner over the
years. Is there a linear trend?
►Tour de France
Mathematics: Resource list—web based resources
11
3.5.3 Dat #(5)
Australian Bureau of Statistics
http://www.abs.gov.au
Data Collection and Sampling: Shock Population Figures
Fertility rates by age group given as babies per thousand women.
Average number of babies born in per woman in her life time = total fertility rate
►Search on Cat. no. 3301.0 Select ► TABLE 1 BIRTHS ►Summary ►States and territories
►1996–2006
3.5.5 App
Interactivate
http://www.shodor.org/interactivate/
Fit trend lines by eye (practice for students—marginal value unless they analyse where they go
wrong)
►Select ►Learners Tools ►Statistics ►Regression ►Practice in fitting lines by eye ►Add points
to graph by clicking ►Select ►Fit Own Line ► Move Fit Line ► Click and drag green points
►When satisfied Select ►Display line of best fit
3.6.1 Gra
ATe
Australian Bureau of Meteorology
http://www.bom.gov.au/
Graph of wheat yields by State 1975-1990
Shows how good Western Australian yields counterbalance poor Eastern States yields
The graph could be used for class discussion or assessment
►Climate ►Search ►Western Australia to the rescue ►Australian climate extremes
3.6.2 App
Gizmos- Online Learning
http://www.explorelearning.com/
Predict from trend lines
Useful for demonstrating that trend lines are made of points (a property that many students do not
understand) and that prediction is from points on the trend line and not individual data points
(because individual data may suffer measurement error and random variation)
►Select ►Browse Gizmos ►Grades 9-12 ►Data analysis and probability ►Analysing and
displaying data ►Solving using trend lines
3.5 ; 3.6
Dat
Statsci.org
http://www.statsci.org/data/first.html A portal for statistical science and the discipline of statistics
Deaths in custody: proportion and trend
Suggested task: What questions could be answered with this data? Analyse the data numerically
and graphically in order to answer the questions. What social issues do the data raise?
►Select ►Resources ►OzDASL ►First Course in Statistics ►Comparison of proportions
►Aboriginal Deaths in Custody
12
Mathematics: Resource list—web based resources
2CMAT
3.1.1; 3.1.5 App
Waldomaths
http://www.waldomaths.com/
Guess and check the meaning of set notation
►Select ►ages16-19 ►Scroll down to Probability and Statistics►Venn Diagrams 1
3.3.1; 3.4.4 App ASt
Yellowstane National Park
http://www.yellowstone.net/
Data from Yellowstone geyser Ask students to describe the data with different class intervals
►Geysers ►Old faithful
3.4.4; 3.5.2 App
WISWEB- Freudenthal Institute
http://www.fi.uu.nl/wisweb/
Dot-plots for own or provided data, up to two sets
Divide scale into equal intervals and superimpose histogram, then hide data. Suit linking mean,
median and mode to central tendency, and establishing mean and median as viable for comparing
data sets
►Select ►applets (in text) ►Drop down box ►Statistics and Probability ►All age groups (Drop
down box) ►Minitool 2
3.4.7; 3.5.6 Dat
Journal of Statistics Education
Hat size, circumference--linear trend, interpret the gradient
http://www.amstat.org/publications/jse/
►Data archive ►Scroll down to ►hats.dat and hats.txt
3.4.7; 3.5.5 ; 3.5.6
Ate
Dat
Teaching Statistics
http://www.rsscse-edu.org.uk/tsj/
Is an International journal for teachers which caters for teachers of pupils up to 19 years
Article on investigating the dimensions of eggs
►Getting the best from teaching statistics ► Scroll down to section 9 ►The Golden Egg
Royal Alberta Museum
http://www.royalalbertamuseum.ca/
Egg data Select: World Species
►Collections & Research ►Life sciences ►Ornithology ►(Scroll down to) ►Eggs A virtual
exhibition
Mathematics: Resource list—web based resources
13
3.4.7; 3.5.6 Dat
Journal of Statistics Education
http://www.amstat.org/publications/jse/
Life span of the fruit fly against number of companions--linear trend
►Data archive ►Scroll down to ►fruitfly.dat and fruitfly.txt
3.4.7; 3.5.6 Da
ATe
NCTM resources
http://illuminations.nctm.org/LessonsList.aspx?grade=4&standard=all
Generate own data, Bungee-jumping Barbie—linear relationship, variation between samples
Suggested use: groups generate data, fit a trend line, obtain the equation, compare with other
groups and explain why their trend lines differ
(Variation between samples due to measurement error and hidden variables such as different
elasticity of the rubber bands) Plug-in required
►Lessons ►Check box 9-12 ►Check box Data analysis & Probability ►Barbie Bungee
3.5.5 & 3.5.6 App
Gizmos-Online Learning
http://www.explorelearning.com/
Predict from trend lines. Contextualised data
Useful for demonstrating that trend lines are made of points (a property that many students do not
understand) and that prediction is from points on the trend line and not individual data points
(because individual data may suffer measurement error and random variation). Plug-in required
►Select ►Browse Gizmos ►Grades 9-12 ►Data analysis and probability ►Analysing and
displaying data ►Solving using trend lines
3.3.1; 3.4.1 ; 3.5.1
Dat
Infoplease
http://www.infoplease.com/ipa/A0004372.html
Infant mortality and life expectancy for selected countries
Suggested tasks: Ask students to pose questions about the data, represent the data in order to
answer their questions, comment on any unusual or notable things about the data, and explain
their results in terms of their knowledge about the countries
A fuller investigation of this data and related datasets is suggested for 3AMAT
►Select ►Health and Social Statistics ►Infant mortality and life expectancy for selected countries
3.6.3 Dat #(3)
Australian Bureau of Meteorology http://www.bom.gov.au/climate/how/
Weather data
►Climate Information
14
Mathematics: Resource list—web based resources
2DMAT
3.1.1; 3.2.2 Act
Maths 300
http://www.curriculum.edu.au/maths300/
Crazy animals--sample space, probability and simulation
Suggested activity: Students
 Draw animals/alien on card (at home) using the template (web link--Draw your own animal
book), and cut the template in three
 Create animals in groups of 3 or 4 and draw a tree diagram that shows the sample space
 Calculate probabilities
 Use the random number generator on their calculators to determine animals/aliens
 Check experimental results against theoretical probabilities and discuss
►Select ►Free sample tour ►Crazy animals
3.2.2; 3.2.3 ; 3.3.1 ; 3.3.2
Interactivate
http://interactivemaths.net
App
Probability, events with multiple stages
Use sliders to choose how many layers of pegs and the probability of going left. Click on ‘Release
repeatedly to release the balls’. Reset to start again
Suggested tasks:
 Ask students to derive the probability for each container with 2 layers and different p (left)
probabilities and test with the applet
 Consider what would be an appropriate number of trials
 Check experimental results against theoretical probabilities and explain differences
 Consider 3, 4, layers and generalise probabilities
►Select ►Statistics ►Go to page 2 ►Galton’s Quincunx
3.3.2 App
National Library of Virtual Manipulatives
http://nlvm.usu.edu/
Based on a game show Stick or switch
This probability game is an electronic version of the game based on the idea of sticking to a
strategy
►Data analysis and probability ►9-12 ►Stick or Switch
Mathematics: Resource list—web based resources
15
3.3.3 App #(5)
Gizmos- Online Learning
http://www.explorelearning.com
Capture/Recapture
Choose number tagged, number recaptured
Displays number and % that are tagged among those recaptured
Dynamic display of fish and actual total
Are the results what you would expect by chance?
Free use for 5 minutes
To save time, print screen dump to explain setup to students
►Select ►Browse Mathematics Gizmos ►Grade 9-12 ►Data analysis and probability
►Inferences and predictions ►Estimating population size
3.2.4 ATe #(5)
Teaching Statistics
http://www.rsscse.org.uk/ts/gtb/contents.html
Contains articles on capture/recapture. A practical study of the capture/recapture method of
estimating population size
►Getting the best from teaching statistics ►Scroll down to section 4 ►How many fish are in the
pond?
3.4.1 Dat #(3)
ATe
Australian Bureau of Meteorology - Weather data
http://www.bom.gov.au/climate/how/
►Climate Information
3.4.4 ATe
International Association for Statistical Education
http://www.stat.auckland.ac.nz/~iase/
History of Sampling
►Publications ►Scroll down to Dissertations ►Scroll down to 2004 Arthur Bakker ►Full version
►p. 61
3.5; 3.6
ATe
International Association for Statistical Education
http://www.stat.auckland.ac.nz/~iase/
Article on teaching spread/variability
►Publications ►Select: SERJ ►Current issue and Archives ►Volume 4, Number 1 ►Joan
Garfield and Dani Ben-Zvi
3.5.2 Ate App
International Association for Statistical Education
http://www.stat.auckland.ac.nz/~iase/
Ideas for teaching and testing standard deviation
►Publications ►Select ►SERJ ►Current issue and Archives ►Select ►Volume 4, Number
1►Contents ►Bob Delmas and Yan Liu ►pp. 60-63
16
Mathematics: Resource list—web based resources
Rice Virtual Lab in Statistics
http://onlinestatbook.com/stat_sim/
Applet that relates to the above.
Change the values of the data set by "painting" the histogram with the mouse, clicking on
histogram
Statistics displayed at the side and on the graph
►Select ►Mean and median ►then click Begin (on left)
3.6.3 App
WISWEB- Freudenthal Institute
http://www.fi.uu.nl/wisweb/en/welcome.html
Dot-plots for own or provided data, up to two sets
Divide scale into equal intervals, superimpose histogram then hide data
Suit emphasising the benefit of using graphs as well as statistics to compare datasets
►Select ►applets (in text) ►Statistics and Probability ►Minitool 2
3.4
Dat
BBC
http://news.bbc.co.uk/sport
Olympic data for comparison: Results for heats and finals for Olympics
►Olympics
3.6.3 Dat
University of Queensland
http://www.maths.uq.edu.au/~mrb/java/CircleZap/
Generate data for comparison by clicking on red and green circles
To copy data into Excel, Highlight data, Right click and Select: Copy
►Paste into Excel ►Select: Data ►Text to Columns ►Delimited ►Next ►Space ►Finish
►Select ►Proceed
3AMAT
3.1.1 & 3.1.3 Qu
Coventry University Mathematics Support Centre
http://www.coventry.ac.uk/ec/maths_centre/statistics_ws.html
Diagnostic tests and worksheets and on probability
►Select ►Probability 2
Mathematics: Resource list—web based resources
17
3.2.4 App
Gizmos- Online Learning
http://www.explorelearning.com
Capture/Recapture
Choose number tagged, number recaptured
Displays number and % that are tagged among those recaptured
Dynamic display of fish and actual total
Are the results what you would expect by chance?
Free use for 5 minutes
To save time, print screen dump to explain setup to students
►Select ►Browse Mathematics Gizmos ►Grade 9-12 ►Data analysis and probability
►Inferences and predictions ►Estimating population size
3.2.4 ATe (5)
Teaching Statistics
http://www.rsscse.org.uk/ts/gtb/contents.html
This is an International journal for teachers which caters for teachers of pupils up to 19 years
Articles on capture/recapture
A practical study of the capture/recapture method of estimating population size
►Getting the best from teaching statistics ►Scroll down to section 4 ►How many fish are in the
pond?
3.3.1 ATe
Teaching Statistics
http://www.rsscse.org.uk/ts/gtb/
Is an International journal for teachers which caters for teachers of pupils up to 19 years
Article on sampling bias
►Getting the Best from Teaching Statisticst ►Scroll down to section 2 ►The BioSS Challenge –
A demonstration of sampling bias ►P Smart
3.3.1 ATe
International Association for Statistical Education
http://www.stat.auckland.ac.nz/~iase/publications/dissertations/dissertations.php
History of Mathematics--sampling, median and quartiles
►Publications ►Scroll down to Dissertations ►Scroll down to 2004 Arthur Bakker ►Full version
►p. 61
3.4.2 ASt
York University
http://www.math.yorku.ca/SCS/Gallery/
Historical statistical graphs. Background when introducing boxplots
►Select ►The best statistical graphs ever drawn
18
Mathematics: Resource list—web based resources
3.4.2 ATe
International Association for Statistical Education
http://www.stat.auckland.ac.nz/~iase/
Article on teaching boxplots
►Publications ►SERJ ►Current issue and Archives ►Scroll down ►Volume 5, Number 2
►Contents ►Maxine Pfannkuch
3.4.2 ; 3.5.1 ; 3.5.2 ; 3.5.3 ; 3.5.4
App
WISWEB- Freudenthal Institute
http://www.fi.uu.nl/wisweb/en/welcome.html
Dot-plots for own or provided data, up to two sets
Divide data into equal intervals and superimpose histogram
Divide data into four equal sized groups and superimpose boxplot
Suit introduction of boxplots, comparison of histograms and boxplots, effects of histogram intervals
and viability of IQR for comparison
►Select ►applets (in text) ►Statistics and Probability ►Minitool 2
3.4.2 ATe
Coventry University
http://www.mis.coventry.ac.uk/~nhunt/boxplot.htm
How to construct box plots in Excel
►Box plots in Excel by Neville Hunt
3.4.5 ATe
International Association for Statistical Education
http://www.stat.auckland.ac.nz/~iase/publications.php?show=serj
Article on teaching spread/variability
►Publications ►SERJ ►Current issue and Archives ►Volume 4, Number 1 ►Joan Garfield and
Dani Ben-Zvi
3.4.5 Dat
Statsci.org - A portal for statistical science and the discipline of statistics
http://www.statsci.org/data/first.html
Skewed data
Kiama Blowhole eruptions
Time between Nerve Pulses
http://www.statsci.org/data/first.html
Australian Bureau of Statistics
http://www.abs.gov.au/websitedbs/cashome.nsf/Home/Home
The left hand and right hand response times are skewed
Explain why
►Select ►Visit the Teacher Area ►CensusAtSchool Data ►Information Tables ►Scroll down to
see ‘Table of left and right hand reaction times’
Mathematics: Resource list—web based resources
19
3.4.5 Dat
ATe
Gizmos- Online Learning
http://www.explorelearning.com/
Predict from trend lines
Contextualised data
Useful for demonstrating that trend lines are made of points (a property that many students do not
understand) and that prediction is from points on the trend line and not individual data points
(because individual data may suffer measurement error and random variation)
Plug-in required
►Select ►Browse Gizmos ►Grades 9-12 ►Data analysis and probability ►Analysing and
displaying data ►Solving using trend lines
3.4.6 Dat #(4)
Infoplease
http://www.infoplease.com/ipa/A0004372.html
Infant mortality and life expectancy for selected countries
Suggested tasks
Ask students to pose questions about the data, represent the data in order to answer their
questions, comment on any unusual or notable things about the data, and explain their results in
terms of their knowledge about the countries
A fuller investigation of this data and related datasets is suggested for 3AMAT
►Select ►Health and Social Statistics ►Infant mortality and life expectancy for selected countries
3.5.1 ; 3.5.2 ; 3.5.3 App
National Library of Virtual Manipulatives
http://nlvm.usu.edu/
Histogram and boxplot for own or provided data (decontextualised)
Change histogram interval width with slider
Select: box plot
►Select ►Data analysis and probability 9-12 ►Histogram ►Boxplot
3.5.2 ATe
NetMBA Business Knowledge Centre
http://www.netmba.com/
Advantages of boxplots
Note that box plots for the Mathematics course do not show outliers
►Statistics ►Boxplots
3.5.3 App
Statistics – Concepts and controversies
http://www.whfreeman.com/sccbridgepage/
Histograms for real data
Click and drag to change intervals
Discuss misleading graphs
►Click on textbook on the right ►Select ►Statistical applets ►One variable statistical calculator
Select ►Dataset ►Data ►Statistics ►Histogram ►Stemplot
20
Mathematics: Resource list—web based resources
3.5.3 App
Gizmos- Online Learning
http://www.explorelearning.com
Effect of changing histogram intervals
The applet displays a dot plot and histogram
Free use for 5 minutes
►Select ►Browse Mathematics Gizmos ►Grade 9-12 ►Data analysis and probability
►Analysing and displaying data ►Histograms
3.5.5 ; 3.5.7 Ate
App
International Association for Statistical Education
http://www.stat.auckland.ac.nz/
Ideas for teaching and testing standard deviation
►Select ►Hosting ►International Association for Statistical Education (IASE) ►Publications ►
SERJ ►Current issues and archives ►Volume 4, Number 1 ►Contents ►Bob Delmas and Yan
Liu ►pp. 60-63
Rice Virtual lab
http://onlinestatbook.com/
Applet that is relevant to the above
Add data by clicking on histogram. Statistics displayed at the side and on the graph
►Rice Virtual lab in Statistics ►Simulations and demonstrations ►Select: Mean and median
3.5.8 ; 3.5.9 Dat
Rice Virtual lab
http://onlinestatbook.com/
Generate response time data for comparison: centre, spread and skewness differ
Select: Comparing Distributions
Students generate response times by clicking on small and large squares—data shown as box
plots and histograms
Warn students that results are recorded after the first two trials, without any warning, and any
outliers on the box plots are plotted separately
►Rice Virtual lab in Statistics ►Simulations and demonstrations ►Select: Sampling distributions
3.5.8 ; 3.5.9 Qu
ATe
International Association for Statistical Education
http://www.stat.auckland.ac.nz/
Comparison questions in an article that describes student responses to the questions
►Hosting ►International Association for Statistical Education (IASE) ►Publications ► SERJ
►Current issues and archives ►Volume 1, Number 2 December 2002 ►scroll down to Contents
►then go to Pfannkuch and Rubick’s article ►pp. 4-22
Mathematics: Resource list—web based resources
21
3.5.11 App
VESTAC
http://lstat.kuleuven.be/java/
Chance variation between samples: growing a sample (Applet takes a while to load)
►Select ►Basics ►Histogram and boxplot (upper right cell) ►check histogram (bottom right,)
click step ►walk or run to grow a random sample from a normal distribution (steps of 10 points)
Suggested activities:
Observe that
-the shape (or distribution) of data for small samples can differ from the distribution for the
population (the normal curve)
-the shape (or distribution) of sample data gets more like the shape of population as sample size
increases. What are the implications of this for inferring the mean, standard deviation, median,
quartiles, and IQR for a population?
►Check boxplot (bottom right) ►reset and step ►walk or run to grow a sample
Observe relative stability/instability of median, quartiles and extrema as sample grows. ►Select
►new window and grow two samples side-by side—very different numbers of points, then same
numbers of points
Discuss implications for comparison of same and different sized data sets
Does the display confirm your previous conclusions about the median, quartiles, and IQR? Which
is more stable--range or IQR—and what are the implications for inference?
Calculate a boxplot for a standard normal distribution and compare this with boxplots for small and
large samples. Write a summary about reliability when using samples to infer results for
populations
3BMAT
3.1.1 ASt
Cut the knot
http://www.cut-the-knot.org/index.shtml
Articles—correlation versus cause, sampling
First item covers correlation/cause and effect. Second item deals with sampling
►Select ►Table of Contents ►Probability ►Probability problems ►Scroll down to ►Misuse and
Misconception of Statistics ►Correlation and causation
3.1.2; 3.2.1 Appl
Sun site - University of Vienna
http://sunsite.univie.ac.at/
Correlation
►Spreadsheets in Mathematics, Statistics and Science Education ►Example spreadsheets and
projects ►Correlation visualised
22
Mathematics: Resource list—web based resources
3.1.1 ; 3.1.2 Dat
North Carolina School of Science and Mathematics
http://courses.ncssm.edu/math/
Animal gestation period, versus average longevity gives a weak positive relationship and what
about outlier s?
►Select ►Learning Material for teachers and students ►Scroll down to ►Data sets ► Gestation
period and average longevity
3.1.1; 3.1.2 Dat
Australian Bureau of Statistics
http://www.abs.gov.au/
Belly button height, height—strong positive relationship
The mean of the ratios for belly button height to height is close to the Golden Ratio
►Search ►CensusAtSchool Data ►Information ►Tables scroll down to the eight data set
3.1.3 ; 3.1.4 Dat #(5)
ATe
Journal of statistics education
http://www.amstat.org/
Carat weight of diamond stones, colour and clarity, price in Singapore $ —data for linear
regression and alternate models. Also an article associated with the dataset
►Publications ►Journals ►Journal of Statistics Education ►Data Archive ►Scroll down to
►diamond.dat and diamond.txt
3.1.3; 3.1.4 Dat
ASt
Journal of Statistics Education
http://www.amstat.org/
Article with historical dataset used in formulation of regression lines—diameter of mother and
daughter sweet pea seeds
►Publications ►Journals ►Journal of Statistics Education ►Search ►Stanton ►V9N3 Galton,
Pearson, and the Peas
The MacTutor History of Mathematics archive
http://www-history.mcs.st-and.ac.uk/
►Select ► Biographies ►Galton
3.1.3 App
NCTM resources
http://illuminations.nctm.org/
Properties of regression lines
Suggested teacher demonstration: Add points and ask students how the line is calculated Ask
which distances
When students have no more suggestions sketch a scatterplot with residuals then show the
following
Data points, regression line, residuals, squares and numerical expression for least squares are on
view
►Lessons ►Select 9-12 and Data ►Search ►Scroll to ►Least squares regression
Or
►Lessons ►Select 9-12 and Data ►Search ►Scroll to ►The regression line and correlation
Mathematics: Resource list—web based resources
23
3.1.5; 3.2.3 ; 3.2.4
App
Calfornia State University
http://www.math.csusb.edu/
Add data to scatterplot, trend line and residual plot appear
Good for showing residuals for data that does not fit a linear model
California State University San Bernardino Mathematics department
Search CSUSB ►Stanton ►Professor Charles Stanton, Dept. Math CSUSB ►Probability and
Statistics Demos ►Linear Regression
3.1.5 Dat
Quantitative Environmental Learning Project
http://www.seattlecentral.org/qelp/Data.html
Scatterplots both linear and exponential set out in a matrix
Can also be accessed Maths Topics
►Select ►Maths Topics ► Exponential Scatter plots ►Data Set #056 tree ring widths in a
Douglas fir
or
►Data Set #071 Raging river discharge
3.2.4 App
Shodor
http://www.shodor.org//
A National resource for computational science
Guessing alternative models by eye
Modelling—enter data without brackets, enter function with coefficients e.g. 1*x^2+0, sliders
appear for changing the coefficients
►Activities & Lessons ►Interactivate ►Learners Tools ►Statistics. ►Multi-Function Data Flyer
3.2.1 App
Rice Virtual Lab in Statistics
http://onlinestatbook.com/
Estimate r for given datasets—for possible student use
►Rice Virtual lab in Statistics ►Simulations and demonstrations ►Select ►Regression by eye
3.2.2; 3.2.7 Dat
StatLib
http://lib.stat.cmu.edu/
Data, Software and News from the Statistics Community
Linear trend: IQ, Brain size for ten sets of twins
Consider cause/correlation, and the limitation that the sample is small
►Select ►Get data ►Main download area ►Data Archive ►Datasets Archive ►Index of
Datasets Archive ►IQ Brain size
3.2.4 Dat
Journal of Statistics Education
http://www.amstat.org/publications/jse/
Outlier, linear regression
►Data Archive ► Select: cigarettes.dat and cigarettes.txt
24
Mathematics: Resource list—web based resources
3.2.4 Dat #(4)
Australian Bureau of Meteorology
http://www.bom.gov.au/climate/ Weather data
►Climate Data Online
3.2.4 Dat
StatLib
http://lib.stat.cmu.edu/
Data, Software and News from the Statistics Community
Linear regression: The data contain a trend as well as outliers,
►Select ►Get data ►Main download area ►Data Archive ►Datasets Archive ►Index of
Datasets Archive ►Balloon”
3.2.7 ATe
Teaching Statistics
http://www.rsscse.org.uk/ts/
This is an International journal for teachers
Article on variation between samples of bivariate data considered on pages 2-3
►Scroll down to ►Getting the best from teaching statistics ►Section 2 ►Exploring sampling
3.2.7 App XL
VESTAC
http://lstat.kuleuven.be/java/
Illustrates random variation in trend lines for samples
►Regression ►Histograms of slope and intercept.
(Applet takes a while to load)
3CMAT
3.1.1 Qu
Centre for Innovation for Mathematics Teaching
http://www.cimt.plymouth.ac.uk/default.htm
Combinations: How many patterns are available in Braille
►Select ► Resources ►CMIT Resources ►Topical applications of Mathematics ►Braille
3.1.3 App Article
Stanford University – Susan Holmes
http://www-stat.stanford.edu/~susan/surprise/
The birthday problem simulation software generates random dates and matches birthdays on the
same day
►Projects ►Probability by surprise ►The birthday problem aplet.
Mathematics: Resource list—web based resources
25
3.1.3
PUMAS
http://pumas.jpl.nasa.gov/
Online Journal of Maths and Science examples of Pre-College education.
Birthday problem
The task, ‘Matching Birthdays’ would be suitable for 3CMAT §3.2.1, §3.2.2
It uses independence and multiplication properties to explore the possibility of people, in a group of
n people, having matching birthdays
►Search on ►Matching Birthdays ►Scroll down
3.1.3 ; 3.1.7 Dat #(4)
Australian Bureau of Meteorology –
Weather data
http://www.bom.gov.au/climate/
►Climate Data Online
3.1.4 ATe
Teaching Statistics
http://www.rsscse.org.uk/ts/gtb/contents.html
An International journal for teachers
Article on conditional probability
►Scroll down to ►Getting the best from teaching statistics ►Section 1 ►Find ►Understanding
conditional probability
3.1.3 ; 3.1.4 Qu
Dartmouth University
http://www.dartmouth.edu/~chance/
Text with questions
►Select ►a GNU book (left panel), GNU version in pdf (second paragraph)
p. 150 conditional probability, probability laws, central limit theorem
3.1.6 ATe
International Association for Statistical Education
http://www.stat.auckland.ac.nz/~iase/
History of Mathematics—distributions
►Select ►Publications ►Scroll on left to Dissertations ►2004 Arthur Bakker ►Full version
►Distributions p. 74
3.1.6 ATe
International Association for Statistical Education
http://www.stat.auckland.ac.nz/~iase/
Article on teaching spread/variability
►Publications ►SERJ ►Archive of past issues ►Volume 4, Number 1 ►Joan Garfield and Dani
Ben-Zvi
26
Mathematics: Resource list—web based resources
3.1.6 App
Calfornia State University
http://www.math.csusb.edu/
Sum of dice simulation
Choose number of dice and number of trials
Choose ‘Rollem’ to run the simulation
Shows experimental and theoretical frequency
Could ask students to explain the displays for two dice with varying numbers of trials
►Search ►Stanton ►Charles Stanton’s home page ►Java Demos for Probability and Statistics
►Introduction to probability models
3.1.7 App
Gizmos- Online Learning
http://www.explorelearning.com
Binomial distribution with sliders for n and p
Ask students to explain the changes
►Select►Browse Mathematics Gizmos ►Grade 9-12 ►Data analysis and probability
►Probability ►Binomial probabilities ►Free use for five minutes
Waldomaths
http://www.waldomaths.com/
►Select►16-19 ►Binomial + Normal
3.1.7; Ate #(5)
Teaching Statistics
http://www.rsscse-edu.org.uk/tsj/
An International journal for teachers
Articles on capture/recapture
A practical study of the capture/recapture method of estimating population size
►Scroll down to ►The best from teaching statistics ►Statistics in the classroom ►Practical and
project work ►BAC Dudley ‘A practical study of the capture/recapture method of studying
population size’
Also
http://www.rsscse-edu.org.uk/tsj/
►Scroll down to ►Getting the best from teaching statistics ►Section 4 ►’How many fish in the
pond?’
3.1.7 App#(5)
Gizmos- Online Learning
http://www.explorelearning.com
Capture/Recapture and the binomial distribution
Choose number tagged, number recaptured
Displays number and % that are tagged among those recaptured
Dynamic display of fish and actual total
Are the results what you would expect by chance?
Free use for 5 minutes
To save time, print screen dump to explain setup to students
►Select ►Browse Mathematics Gizmos ►Grade 9-12 ►Data analysis and probability
►Inferences and predictions ►Estimating population size
Mathematics: Resource list—web based resources
27
3.1.7 App
Gizmos- Online Learning
http://www.explorelearning.com
Probability of landing in specified area of dart board—binomial distribution
Free use for five minutes
Conduct multiple trials, record results. Are the results what you would expect by chance?
►Select ►Browse Mathematics Gizmos ►Grade 9-12 ►Data analysis and probability
►Probability ►Geometric Probability ►Run Activity A or B
3.1.8 App
Calfornia State University
Probabilities for a normal distribution
Calculates probabilities and displays them on the graph with a very clear display
http://www.math.csusb.edu/
►Search CUSUB for Stanton ►Charles Stanton’s home page ►Probability and Statistics Demos
►Normal Distribution
3.2.4 App
Gizmos- Online Learning
http://www.explorelearning.com
Sampling from distributions
Free use for 5 minutes
Draw a distribution, grow a sample
Shows sample distribution and mean value
►Select ►Browse Mathematics Gizmos ►Grade 9-12 ►Data analysis and probability
►Inferences and predictions ►Populations and samples
Qu
ARTIST
https://app.gen.umn.edu/artist/index.html
Multiple choice questions
Easy to use and lots of questions
Free registration
►Select ►Item database [Assessment builder] Enter email address and password, submit
►Select ►create a new test ►Fill in details, submit ►Access the database by topic
3DMAT
3.2.1 Dat
Seattle College – QELP
http://www.seattlecentral.edu/
Normally distributed data
►Search ►QELP►QELP Data page ►Math topics ►Histograms ►
►Dataset#057 Normally distributed wing-lengths (of houseflies)
►Dataset#059 Normal distribution of wheat yields
28
Mathematics: Resource list—web based resources
3.2.1 Dat
StatSci
http://www.statsci.org/index.html
Skewed data: Test fit with a normal distribution
►Select ►Teaching ►Data sets ►Ready for teaching ►OzDASL ►A first course in statistics
►Kiama Blowhole eruptions
Time between eruptions of the geyser
Pomona
http://www.economics.pomona.edu/StatSite/eclectic.html
►Scroll down to Old Semi Faithful
Australian Bureau of Statistics
http://www.abs.gov.au/
The left hand and right hand response times are skewed. Explain why.
Select ►Education ►Quick links ►Census At School Data ►Questionnaire ►scroll down to see
‘Table of left and right hand reaction times’
3.2.1 ASt
StatSci
http://www.statsci.org/
Report on air safety—binomial distribution
►Select ►Teaching ►Data sets ►Ready for teaching ►OzDASL ►A first course in statistics
►Independence and counting ►Air safety
3.2.3 Dat #(4)
Australian Bureau of Meteorology - Weather data
http://www.bom.gov.au/
►Climate ►Data services ►Climate data online
3.2.3 ATe
West Kentucky University – David Neal
http://www.wku.edu/
Articles on the sign test
►Search ►David Neal ►Statistical Inference on the TI 89
David Lane
http://davidmlane.com/
►Select ►Hyperstat Online ►Contents Chapter 17 ►Sign test
3.3.1 ; 3.4.1 ATe
Teaching Statistics
http://www.rsscse.org.uk/ts/
An International journal for teachers
Article on a normal distribution made with beads and uses of the resource in teaching ‘A’ useful
display of a normal population
The Best of teaching Statistics ►Scroll down to ►Visual and other aids ►RW Jernigan ‘A’ useful
display of a Normal population”
Mathematics: Resource list—web based resources
29
3.3.1 App
VESTAC
http://lstat.kuleuven.be/java/
Chance variation between samples—growing a sample
Note that outliers are plotted beyond the ends of the whiskers
►Observe relative stability/instability of median ►quartiles and extrema as sample grows ►Select
►new window and grow two samples side-by side—same then very different numbers of points
Also discuss implications for comparison of same and different sized data sets.
►Select ►Basics ►Histogram and boxplot (upper right cell) ►check histogram and boxplot-‘both’
(bottom right,) click step (Applet takes a while to load) ►walk or run to grow a random sample from
a normal distribution (steps of 10 points)
3.3.2 App
VESTAC
http://lstat.kuleuven.be/java/
Central Limit Theorem--distribution of sample means
Each sample is displayed on top graph, in turn, and the mean value is added to the bottom graph
Change parameters in Settings and Rescale
Animated, graphs sample, mean of sample, one other statistic that is selected
Generates distributions of the means for normal, uniform and other populations
►Select ►Basics ►Distribution of mean ►top right cell for sampling from a normal distribution
(Applet takes a while to load) ►bottom right cell to sample from a binomial distribution
Rice Virtual Lab
http://onlinestatbook.com/
Distribution of sample means simulation (good but small display)
►Scroll to Rice Virtual Lab in Statistics ►Simulations and demonstrations ►Sampling
distributions ►Read the Instructions ►Click Begin (on left) to activate applet
3.3.2 Activity
App
Rossman & Chance
http://www.rossmanchance.com/
Class activity in which students sample coins
Applet to interpret after the activity
Select ►Java applets ►Sampling Pennies
3.4.1 ; 3.4.2 ; 3.4.3 App
VESTAC
http://lstat.kuleuven.be/java/
Confidence Interval for sample means
(Applet takes a while to load)
►Select ►Tests ►Confidence interval for the mean
30
Mathematics: Resource list—web based resources
W H Freeman
http://www.whfreeman.com/sccbridgepage/
►Select ►right hand version of the text ►Statistical Applets ►Confidence intervals
California State University Mathematics Department
http://www.math.csusb.edu/
Samples (n=20) from a normal distribution. Choose level of confidence
►Select ►Search CSUB ►Charles Stanton ►Charles Stanton’s home page ►Probability and
Statistics Demos ►Confidence intervals for the mean
3
Qu
College Board
http://apcentral.collegeboard.com/
US Advanced Placement examinations
Free enrolment
►Home ►AP Courses and Exams (on the left) ►Exam Questions (on the right) ►Statistics (in
table) ►Scroll down to Free Response Questions and Scoring Guidelines
3
Qu
ARTIST
https://app.gen.umn.edu/artist/index.html
Multiple choice questions
Free registration
►Select ►Item database [Assessment builder] ►Enter email address and password and submit
►Select ►Create a new test ►Fill in details and submit. Access the database by topic.
Mathematics: Resource list—web based resources
31