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Web Reviews from The Common Denominator
2004 the International Year of Rice
Archimedes' Laboratory
Athens 2004
The Australian Bureau of Statistics
Australian Year of the Built Environment2004 has been proclaimed as the Year of the Built Environment in Australia. The built environment means buildings, places and structures in which we live, work and play. It is about the environment that has been created, modified, constructed, developed, arranged or maintained by humans – that’s domestic and public buildings, infrastructure, landscaping and other man-made features of our communities.
Biographies of Women Mathematicians
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Poisson, Siméon (1781-1840) Life is good for only two things, discovering mathematics and teaching mathematics. Mathematics Magazine, v. 64, no. 1, Feb. 1991. |
This web site contains a collection of mathematical quotations all in the one place, from a variety of sources.
In the page there are a few ways to access the information:
- You may conduct a keyword search through the quotation database.
- You can download the whole collection at once. (It's about 243k...83 printed pages)
- Or you can access the quotations page by page, which are organised in alphabetical order by the author's last name.
It is an interesting site with quotes from many famous and favourite mathematicians. Well worth a visit to spark interest.
The place to visit is: www.graphmatica.com/
Graphmatica is a powerful, easy-to-use, equation plotter with numerical and calculus features. It allows you to graph Cartesian functions, relations, and inequalities, plus polar, parametric, and ordinary differential equations. It has the capacity to display up to 25 graphs on the screen at once. It also gives you the ability to copy to the clipboard (bitmap and WMF), as well as having features such as Button Bar, on-line help and demo files. It is a great tool for students and teachers particularly at the senior level.
The Graphmatica site contains detailed information about how to download and install the program systems (and it is also currently available in French, Spanish and Portuguese!). Instructions are simple enough for beginners, and there is also detailed information presented about the. There are also different versions of the program suitable for a variety of different more technical aspects of the program.
http://www.intermath-uga.gatech.edu/topics/homepg.htm
The mathematics content and concepts of InterMath reflect curriculum that would enhance a teacher's understanding of middle school mathematics. The InterMath curriculum is meant to engage teachers and is intended to deepen teachers' understanding of mathematical concepts related to the middle school curriculum. Thus, we recommend that you try to solve the investigations yourself, and then try to modify and create classroom explorations that are more suitable for your own curriculum and students' needs.
Topics
- Algebra: patterns; functions & equations; graphing
- Number Concepts: fractions & decimals; integers; ratios, proportion & percent
- Geometry: circles; quadrilaterals; triangles; polygons; 3D objects
- Data Analysis: statistics; probability
The Recommended Investigations have been chosen with the following in mind:
- Multiple cases can be investigated using technology.
- Pre-Algebra students rely on technology to investigate the situation.
- The investigation promotes generalisability or can be used as a springboard for further exploration.
- Multiple methods can be used to explore the situation.
- Multiple solutions are possible.
- The investigation, based on middle school mathematics, is easy to start exploring.
Be sure to browse through the Additional Investigations. There are some really great problems there too!
Interactive Mathematical Dictionary
The Interactive Mathematics Dictionary is a dictionary for middle school students, teachers, parents, and anyone else interested in learning more about mathematical topics in the middle school curriculum. Terms typically have a definition, picture, links to websites, and investigation(s).
http://www.unesco.org/water/iyfw2/index.shtml
Jump in! Wet your feet! Make a splash. Together we can make a difference.
"The year offers a wonderful opportunity to raise awareness about water issues and to motivate people of all ages to get involved. Schools, the private sector, youth and community associations-each has something to contribute," says Alberto Tejada-Guibert, the UNESCO Coordinator for IYFW.
This is an appropriate site for use in Victorian schools with drought and water usage at the forefront across the state. The site provides basic ideas for use in the classroom, supported by access to video materials, facts and figures, etc. This UNESCO site provides ideas about water conservation and usage at many levels, providing links to:
How to get involved?
- first steps
- in your everyday life
- in your community
- at school
Education corner
- by theme
Facts and figures
- water use
- water and health
- ecosystems
- droughts and floods
Remember 'World Water Day', 22 March, 2003
Looking for resources? The following web sites have a wide range of great resources across all curriculum areas for all levels.
Thames Water
Water Counts
http://www.waterinschools.com/index.html?watercounts/index0.html&1Central Queensland University
Water, Maths & Conservation
http://infocom.cqu.edu.au/Community_and_External_Affairs/Workshops/Water_Family_Fun_Day/Water Wise links
http://waterwise.fortune-cookie.com/links.aspUK National Curriculum Educational Resources and Materials
Water Cycle
http://www.water-cycle.info/South East Water
For Kids & Teachers
http://www.southeastwater.com.au/education_main.asp?area=educationWater Corporation
Schools - Fun Ways to be Waterwise
http://www.watercorporation.com.au/education/index.cfmMelbourne Water
Waterworks Library
http://www.melbournewater.com.au/ww/wwl/index.cfmEcoRecycle Victoria
Waste Wise Program
http://www.ecorecycle.vic.gov.au/Melbourne Water
Conserve Water
http://conservewater.melbournewater.com.au/Melbourne Water
Living with Drought
http://drought.melbournewater.com.au/EPA Victoria
Water
http://www.epa.vic.gov.au/Waterwatch
WaterNet
http://www.vic.waterwatch.org.au/links/Commonwealth Bureau of Meteorology
Living with Drought
http://www.bom.gov.au/climate/drought/livedrought.shtml
http://www-history.mcs.st-and.ac.uk/history/
Contains information:
- An overview of the history of mathematics
- Egyptian numerals
- A history of numbers including Zero
- Mathematicians who were born/died on a particular day
- Shapes and curves
This is a highly interactive Java-based website for e-learning mathematics. The courses include theoretical concepts, hands-on examples featuring animated graphics and formulas, problem-solving lessons, and customizable real time tests. Topics covered include Algebra II, College Algebra, Trigonometry, and Pre-Calculus.
The site contains download materials that you can examine before you commit to the purchase of a product.
MathPower is a bright and colourful web site, which provides links for students and teachers to information about learning styles, study skills tips, and ways to reduce math anxiety.
The site gives the student access to tutorials, assignments, math videos, and a forum for discussion of a variety of math topics. Maths concepts are explained step-by-step in areas like solving unequal equations, algebra word problems and factoring polynomials. Homework assignments are available, as are study and test-taking tips. There are video snippets that explain some basic concepts such as additions and subtraction of signed numbers.
The web site is suitable for students from Year 8 upwards and would also be an interesting resource for a wide range of maths teachers.
Why Chess?
http://www.quadcitychess.com/benefits_of_chess.html#educate
Chess is a game for all ages that develops memory, improves concentration, develops logical thinking, promotes imagination and creativity, teaches independence, inspires self-motivation – the list goes on. This site answers the questions raised by educators, parents and students about the benefits of using chess in schools.
http://teachers.net/lessons/posts/2846.html
This lesson allows the novice and experienced chess player to easily teach children how to play chess through games focused on each individual chess piece. The focus is on mathematical thinking, critical thinking and problem solving.
http://www.math.usf.edu/mug/chessy.htm
You can always defend chess-playing because it provides training in logic, combinatorial ability, and intuition. Chess is therefore a bridge between recreation and business.
http://www.successchess.com/SCSKnights/Academics.html
Chess has long been recognised throughout the world as a builder of strong intellects, but only recently has the United States begun to recognise chess' ability to improve the cognitive abilities, rational thinking and reasoning of even the least promising children. Chess brings out latent abilities that have not been reached by traditional educational means. It promotes logical thinking, instils a sense of self-confidence, and self-worth, and improves communication and pattern recognition skills. It teaches the values of hard work, concentration, objectivity, and commitment.
http://www.velucchi.it/mathchess/knight.htm
A great collection of Chess and Mathematics resources including the ultimate Knight’s Tour page of links.
http://www.science.org.au/nova/
The NOVA web site is not all science. It now dedicates a section to Mathematics as well as the other areas of Biology, Environment, Health, Physical Sciences and Technology.
Some of the topics included in the Mathematics section are:
- Mathematics in science
- When numbers just don't add up
- Measurement in sport - the long and the short of it
- Calculating the threat of tsunami
- Can we count on your vote?
- Good prospects ahead for data mining
- Calendars - keeping track of time
- Stock markets - putting your money where your math is
Each NOVA topic consists of:
- key text in non-technical language
- glossary of scientific terms
- student activities
- useful web sites with annotations
- further reading
NOVA is an extensive site, with up date information on current issues. Well worth a look.
NRICH (mathematics enrichment) has thousands of members from 100 countries and many more regular users.
Everything is free. School students, teachers and those professionally involved in education are welcome to join. On the first of each month (except August and January) the site provides new magazines for school students of all ages with an emphasis on mathematical activity. NRICH publishes children's solutions to mathematical challenges and also provides an answering service and many special interest discussion groups.
There are many activities and ideas to access on the site, including games and information.
Here is a sample activity called: Makeover which is animated on the site.
This is a game for one player. Exchange the positions of the two sets of counters in the least possible number of moves. A counter may be moved by sliding it to an adjacent empty square or by jumping over an adjacent counter of either colour into an empty square. It is possible to do this in forty six moves, but if you can succeed in fifty moves you are doing well.
This site is extremely extensive and would be of interest to teachers of all year levels.
This site is well worth a visit!
The Online Teachers' Resource Network web site (OTRNet) aims to provide mathematics resources that support curriculum improvement and provide a richer learning experience for students. The list of commercial products are predominantly available through the Online Teachers' Resource Network however there are sample pages and files that can be downloaded from the site. There are also links to other useful sites including lesson resources and graphics calculators.
Teachers have prepared the materials available through OTRNet and the site is based out of Western Australia.
http://www.aamt.edu.au/reachforthestars/
Register now! Great P - 7 activities.
Take this rare opportunity to be part of a free national numeracy activity!
"Reach for the Stars" has been developed by The Australian Association of Mathematics Teachers in consultation with teachers and systems. It is supported by the Commonwealth Department of Education, Science and Training.
Download the file reach-co.pdf which contains:
- suggestions about ways your school might choose to organise their Reach for the Stars project
- a printable checklist of tasks for school coordinators
- a printable one-page information sheet for teachers
- a printable data summary sheet which could be used to summarise class and/or school data
- printable versions of the suggested activities and worksheets:
- Lower Primary 1
- Lower Primary 2
- Middle Primary 1
- Middle Primary 2
- Upper Primary 1
- Upper Primary 2
- Upper Primary 3
This is a web site full of Internet links in the area of kindergartens and early years. Although based on American material, there are excellent ideas, resources and programs suitable for the Australian curriculum.
The site splits its resources into the following areas:
- Internet resources
- Language, arts, literacy
- Web pages / mailing lists
- Themes
- Centre ideas /resources
Although there are a huge amount of links to Math and nuymeracy based materials, there are also extensive links to many of the different KLAs. Also sprinkled through the list are some lovely little activities and simulations like how to tie shoe laces, which makes this site well worth a look.
A site that offers a free resource of more than 2500 pages of maths review materials for:
- Algebra Complex Variables
- Trigonometry Matrix Algebra
- Calculus Tables
- Differential Equations
Each topic is presented in a series of steps from the simplest to the more complex with short and easy-to-understand explanations. The questions are listed, click on solution to find a step-by-step explanation followed by links to other examples and similar problems.
There are many interesting and informative links to other maths sites throughout.
Great for students to use at school and at home.
These sites offer a wide range of activities on using tangrams to teach area, smaller units of length, fractions, symmetry, names of polygons, and much more.
Tantalising Tangrams
Year 3 lessons/activities that could easily be adapted for other levels.
http://www.teachnetlab.org/ps101/chornik/tangramindex.htmTantalising Tangrams
- Watch the Tangram Movie!
- What IS a Tangram?
- Make your own set of Tangrams from scratch!
- Try putting these together online! Fun!!
- Tangram Puzzles: Print out the page and try to make them! There are six sets of puzzles!
- Make a Tanscape!!!
http://www.manatee.k12.fl.us/sites/elementary/palmasola/psgtan.htm
What’s in a Shape?
- Constructing tangrams
- How do tangrams work?
- How are the shapes related?
http://www.sciencenetlinks.com/lessons.cfm?BenchmarkID=2&DocID=135
Constructing your own set of Tangrams
http://mathforum.org/trscavo/tangrams/construct.htmlInteractive Tangram
http://www.tangram.i-p.comInternational Tangrams Society
http://www.support@stargraphics.com/tangrams.htmTangram Puzzles, Pentominoes and lots more
http://www.ex.ac.uk/cimt/puzzles/puzzindx.htmExploring Geometry with Tangrams
Great site for Year 7 with many activities that are suitable for upper primary and others that are adaptable for other levels.
http://www.create.cett.msstate.edu/create/classroom/lplan_view.asp?articleID=129
The TURNBULL World Wide Web server, is named after the mathematician Herbert Westren Turnbull (1885-1961) who was the Regius Professor of Mathematics at the University of St Andrews from 1921 to 1950. The TURNBULL server is run by the School of Mathematics and Statistics at the University of St Andrews, St Andrews, Fife, Scotland.
TURNBULL is the home of the award-winning MacTutor History of Mathematics Archive, which is an integrated collection of over 1000 biographies and historical articles of a mathematical nature, alongside interactive birthplace maps and the famous curve applet. In this archive you will find the following topic areas:
- Biographies Index
- History Topics Index
- Famous curves index
- Mathematicians of the day
As well as a sub-menu of areas of interest and the two areas currently running on the site are:
- recent articles on Indian mathematics
- recent articles on mathematical education
An excellent search facility is also available and there is a highlight of the recently added features. For example the changes to the archive in January 2001 include 10 NEW History topics, 3 NEW biographies and 4 EXTENDED biographies.
This site recommended by Richard Whitaker from the Bureau of Meteorology (New South Wales), is both an excellent read and a superb resource for anyone with an interest in Mathematics.
http://www.erving.com/turtle/index.htm
For all those fans of the turtle, this web site looks at using MicroWorlds and AppleWorks Spreadsheets to Explore Geometry Concepts.
Although an American based project - The Turtle School of Dance demonstrates how the creative use of MicroWorlds software can help teachers create exceptional lessons that can be used in the area of geometry.
The Turtle School of Dance unit uses the Logo computer language found in MicroWorlds to challenge students to develop a deep understanding of fundamental geometry concepts. Students are challenged to choreograph a series of dances for their computer "turtle" to demonstrate a solid understanding of the geometry of regular polygons. The unit is quite challenging, but it is done with a sense of humour and playfulness that the students really enjoy.
Students answering the challenge of the Turtle School of Dance are required to use the Logo computer language to make their turtle do such famous routines as the Triangle Trot, the Square Dance, the Pentagon Polka and the Hexagon Hustle. Complex computer programs are developed that command the computer turtle to move about the stage drawing the required geometric shape. Every step the turtle makes is controlled by the Logo program that the student creates using a series of basic commands. In the process, students learn about degrees of a circle, turns, complimentary and supplementary angles, estimating distance, recursion, sequencing and a deep understanding of fundamental geometry concepts.
The web site is well organised, and leads the dancer through various training routines and into the choreography. This web site would provide interesting inspiration and a unique context for any MicroWorlds user.
The Victorian Board of Studies has changed its name to:
And the new web site is: http://www.vcaa.vic.edu.au/
The web site is the one stop place for all of the information on:
- The Victorian Certificate of Education (VCE)
- Vocational Education and Training (VET)
- The Curriculum and Standards Framework (CSF)
- Achievement Improvement Monitor (AIM)
- Prep to Year 10 information
On the web site you will also find information:
- about the VCAA and for contacting them
- recent distributions
- media releases
- FAQs
- Official forms
- The latest VCE bulletins
- Publications
There are sections for teachers, parents and the community as well as students. VCE students and teachers will find the section called Exams on the Web very useful, as all of the2000 VCE papers for mathematics as well as all of the different subjects are available as pdfs.
This web site is an invaluable resource for any teacher, particularly at the VCE level.