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Resource reviews are provided for teachers to support their teaching and learning programs.

The views expressed by reviewers are not necessarily those of the NSW Department of Education and Training. Copyright for reviews is held by the NSW Department of Education and Training. Permission for reproduction of reviews in part or full for any purpose must be sought in writing. For further information contact colleen.foley@det.nsw.edu.au

Sites are listed alphabetically by title. Those reviews which note links to other sites, especially as a major part of the site, will require additional exploration time by teachers to verify specific curriculum applications relevant to their classes. The USER LEVEL descriptor, Professional, is a pertinent reminder of such issues. Please note that changes happen daily on the Internet. Sites come and go. We cannot guarantee that the following sites are permanent or are structured as they were when they were reviewed.

Ancient geometry: insights into the history of mathematics
Dollars and sense: making sense of your money 
Einstein archives online
ExploreMath.com
Famous curves index
Fibonacci numbers and the Golden Section
KryssTal: Pascal’s Triangle
Learning bridge for Australian youth players
NRIC: mathematics problems, games and articles
QuickMath automatic math solutions
Science talk
Word problems for kids

Ancient geometry: insights into the history of mathematics Selecting this link will take you to an external site.
A simple, linear site, this resource has interesting reading, yet is devoid of colour or illustration. The first mathematicians is excellent for Stage 4 historical connections. There is a useful resource on pi, for teaching circle geometry to Stage 4 students. In The most famous teacher, Euclid and his postulates can introduce deductive reasoning in Stage 5 and enhance the teaching of proofs for Mathematics: Extension I. Coverage is rich, and onsite material demonstrates the importance of mathematical robustness to early mathematicians. Researching the evolution of algebra, Al Jabr, the chords of Ptolemy, Aryabhata, and The beginnings of trigonometry, will make mathematics more meaningful for senior students. Mathematics for entertainment, chaos theory, and fractals, are touched upon. The site uncovers mysteries upon which our current understandings are built. M. Gary
USER LEVEL: Stage 4 Stage 5 Stage 6
KLA: Mathematics
SYLLABUS: Mathematics 7–10; Mathematics Stage 6: Extension 1
SCIS SUBJECTS: Mathematicians – Biography; Mathematics – History
PUBLISHER: Brent Byars, USA
REVIEW DATE: 01/03/06 [510.9] SCIS 1238739

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Dollars and sense: making sense of your money Selecting this link will take you to an external site.
Straightforward information to support students in developing sound financial skills is provided here in a user friendly format. A host of money management topics are outlined on this site, including saving, budgeting, borrowing, credit, employment, taxation, contracts, entitlements, superannuation, HECS, mobile phone bills, bank accounts, investment, insurance, and consumer rights. Running your own business will help students develop a business plan as part of their Business Studies activities. The Ask an expert link is invaluable and provides questions and answers from young and successful experts. Dream generator provides clear strategies to help students plan their financial goals. A Glossary facilitates understanding of key financial terminology. Teachers can register for free classroom resources. This excellent resource will generate interest for those studying Personal finance in Commerce 7–10, and Financial mathematics in General Mathematics Stage 6. A. Frost
USER LEVEL:           Stage 4 Stage 5 Stage 6
KLA:   HSIE; Mathematics
SYLLABUS:   Business Studies Stage 6; Commerce 7–10; Economics Stage 6; General Mathematics Stage 6; Work Education 7–10
SCIS SUBJECTS:     Finance, Personal
PUBLISHER:            Commonwealth Bank of Australia
REVIEW DATE:       16/07/07 [332.024]      SCIS 1101543

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Einstein archives online Selecting this link will take you to an external site.
The personal papers and Digitized manuscripts of Albert Einstein are collected on this comprehensive website that encapsulates Einstein’s accomplishments and life. Einstein’s Scientific writings and Non-scientific writings are available, as are his Travel diaries, correspondence with colleagues and family, lectures and poems. Photographs, sound recordings and film footage can be accessed online. The Gallery provides annotated highlights of Einstein’s most significant works, and a biographical timeline provides an overview of his life. A search facility assists use of the database. This site would be useful for teaching Einstein’s achievements, such as the theory of relativity, to show students his actual workings. The language, style and format are suitable for senior students. A. Frost
USER LEVEL:           Stage 5 Stage 6 Professional    
KLA:   Mathematics; Science
SYLLABUS:   Mathematics 7–10; Mathematics Stage 6: Extension 1; Extension 2; Physics Stage 6; Science 7–10
SCIS SUBJECTS:                                   Einstein, Albert; Physicists
PUBLISHER:            Albert Einstein Archives, Israel
REVIEW DATE:       30/04/07 [838] SCIS 1293233

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ExploreMath.com Selecting this link will take you to an external site.
Highly interactive maths activities for students and educators are presented in graphs and tables which reflect adjustments of key values, for example, a, b and c in a quadratic function. Common to all the activities is the ability to zoom, pan, and trace points. Some US terminology will need to be dealt with. Students can copy the graphs, tables or the whole screen to the clipboard. The activities cover the whole range of those topics which involve cartesian coordinates and Complex numbers and Probability in the senior syllabuses. The site also provides some relevant ideas for teachers. G. Donaldson
USER LEVEL: Stage 5 Stage 6 Professional
KLA: Mathematics
SYLLABUS: Mathematics 7-10; Mathematics Stage 6:General; Extension 1; Extension 2
SCIS SUBJECTS: Mathematics - Problems, exercises, etc
KEYWORDS: Conic sections; exponentials; graphing; interactive math; linear equations; logarithms; mathematics; multimedia math; points in the plane; polynomials; quadratics; trigonometry
PUBLISHER: Third Millennium Press, USA
REVIEW DATE: 29/6/00 SCIS 1031540

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Famous curves index Selecting this link will take you to an external site.
A large, varied list of curves, some of which are studied in detail in Stages 5 and 6, is offered by this site. The Straight line, Circle, Parabola, and Hyperbola are just a few of the curves that come to fully animated life with a Java enhanced browser. Making use of this site’s Java abilities really enhances the experience of learning about curves through experimenting interactively. Students may well enjoy the intricacies of: Lissajous curves; Equiangular spiral; Conchoid; and the Quadratrix of Hippias. Each curve comes with a detailed historical perspective. This site can be of considerable assistance to students in a range of mathematics courses. T. Scott
USER LEVEL: Stage 5 Stage 6
KLA: Mathematics
SYLLABUS: Mathematics 7-10; Mathematics Stage 6: General; Extension 1; Extension 2
SCIS SUBJECTS: Curves
KEYWORDS: Circle; curves; ellipse; hyperbola; mathematics; parabola
PUBLISHER: School of Mathematics and Statistics, University of St Andrews, Scotland
REVIEW DATE: 7/5/04 SCIS 1028028

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Fibonacci numbers and the Golden Section Selecting this link will take you to an external site.
Fibonacci applications, including Rabbit generations, Pascal’s triangle, and Pythagorean triangles, are exhaustively illustrated on this site. Laid out with many headings, a simple colour palette and a linear sequence, site users will still need persistence to follow number sequence progressions. The site has a useful summary page and a What's new? Selecting this link will take you to an external site. section, with mathematical imagery, knots and planet shapes, tessellations, iterated fractal knots, puzzles, graphic designs, two-way faces, and impossible columns. Senior students are catered for with interactive result generators for Fibonacci, magic squares, permutations and combinations. Stage 4 students can be shown the brick wall puzzle, rectangle and shell spirals and how to draw them. Lower difficulty levels escalate quickly to complex conceptual levels. Mathematics teachers could extract material and guide their students; the site includes tertiary level content. M. Gary
USER LEVEL:           Stage 6 Professional
KLA:   CA; Mathematics
SYLLABUS:   General Mathematics Stage 6; Mathematics 7–10; Visual Arts 7–10
SCIS SUBJECTS:     Number theory; Sequences (Mathematics)
PUBLISHER:            University of Surrey, UK
REVIEW DATE:       10/09/07 [512.7]          SCIS 1271038

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Learning bridge for Australian youth players
Bridge is an International Olympic Committee (IOC) recognised sport. It is used for imparting skills in improved concentration, problem solving and lateral thinking. Bridge could be used in Mathematics: Extension 2 with its content of patterns, symbols, numbers and problem solving, or to extend gifted junior Mathematics students. The site is not colourful but offers useful resources such as free software for a Playing online competition, Links to Australian and international bridge raining sites, Teaching kit for kids, Practice hands, and Rules of mini bridge. All have quality content and instructions, making this a functional site that is designed for young learners and comes equipped with teaching resources for the teacher of bridge. M. Gary
USER LEVEL: Stage 4 Stage 5 Stage 6
KLA: Mathematics
SYLLABUS: Mathematics 7–10; Mathematics Stage 6: Extension 2
SCIS SUBJECTS: Bridge (Game)
PUBLISHER: Australian Bridge Federation, Australia
REVIEW DATE: 21/08/05 [795.41] SCIS 1221949

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KryssTal: Pascal’s Triangle Selecting this link will take you to an external site.
Pascal’s Triangle is utilised here as a means of introducing the Binomial Theorem, combinations, selections and binomial series. Whilst the latter item may not be within the confines of Stage 6 mathematics syllabuses, the other presentations feature in the Extension 1 course. Clear definitions and carefully constructed examples feature in this slightly different approach to the subject matter. The excursion into convergent binomial series may enhance the understanding of the Binomial Theorem. Links to related pages on number series, algebra, trigonometry and logarithms are also available. T. Scott
USER LEVEL: Stage 6 Community
KLA: Mathematics
SYLLABUS: Mathematics Stage 6: Extension 1
SCIS SUBJECTS: Mathematics
KEYWORDS: Algebra; binomial; combinations; mathematics; roots
PUBLISHER: Kryss Katsiavriades, UK
REVIEW DATE: 7/5/04 SCIS 1037806

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NRIC: mathematics problems, games and articles Selecting this link will take you to an external site.
Part of the millennium mathematics project, this resource displays mathematical problems in four tiers with differing levels of challenge. Equating British content to NSW syllabuses is efficiently aided by the Help section, and teachers are advised to read this first. Each problem is supported by links to similar problems and related topics as well as very helpful hints. Clear, bright graphics help to clarify the problems and will engage students. Solutions can be submitted online for later publication. As well as mathematical problems, the site contains games of logic and articles about interesting aspects of mathematics. Extension students who are mathematically literate could work independently and productively using this web site. C. Stilwell
USER LEVEL: Stage 2 Stage 3 Stage 4 Stage 5 Stage 6
KLA: Mathematics
SYLLABUS: General Mathematics Stage 6; Mathematics K–6; Mathematics 7–10; Mathematics Life Skills Course Stage 6
SCIS SUBJECTS: Mathematical recreations; Mathematics – Problems, exercises, etc
PUBLISHER: University of Cambridge, UK
REVIEW DATE: 16/03/05 [510.76] SCIS 1195248

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QuickMath automatic math solutions Selecting this link will take you to an external site.
Solutions and graphs for a broad range of mathematical questions are presented at this dynamic and interactive site. Headings include: Algebra; Equations; Inequalities; Calculus (Differentiation, definite and indefinite integrals); Graphs; and Numbers (Percentages and Scientific notation). Students can enter an expression, function or equation, which will be simplified, solved or plotted accordingly. In some cases a Random button generates these inputs. Answers and often a full explanation of the process are provided. Input is usually simple and is supported by a good help section. This powerful tool could be used as an exercise checker and self tutorial for students or as a generator of exercises. G. Donaldson
USER LEVEL: Stage 5 Stage 6 Professional
KLA: Mathematics
SYLLABUS: Mathematics 7-10; Mathematics Stage 6: General; Extension 1; Extension 2
SCIS SUBJECTS: Mathematics – Problems, exercises, etc
KEYWORDS: Algebra; calculus; differentiate; equations; expand; factor; inequalities; integrate; mathematics; simplify
PUBLISHER: QuickMath, Australia/USA
AUTHOR: Ben Langton SCIS 1031717
REVIEW DATE: 7/5/04

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Science talk Selecting this link will take you to an external site.
ABSTRACT
An online teaching resource, the site promotes teaching and learning in Science and Mathematics. The site’s educational sections are: Chemistry practicals (8), Physics practicals (16), Maths practicals (7), Virtual experiments (9), and Games and puzzles (3). Sections are laid out in headings which equate to lesson ideas. Each of these is an audio and visual presentation by a scientist, and site users can view a transcript of the lesson. The site is developing and will feature more lessons, including video interviews and master classes. The site provides information on technological help for teachers using the material.
USER LEVEL:           Stage 4 Stage 5 Stage 6 Professional
KLA:   Mathematics; Science
SYLLABUS:   Chemistry Stage 6; Mathematics Stage 6: Extension 1; Mathematics Stage 6: Extension 2; Physics Stage 6; Senior Science Stage 6
SCIS SUBJECTS:     Chemistry; Educational games; Mathematics; Physics; Science – Experiments
PUBLISHER:            Centre for Learning Innovation, Australia
REVIEW DATE:       10/09/07 [500]             SCIS 1330754

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Word problems for kids Selecting this link will take you to an external site.
Broken into sections from Grade 5 to Grade 12, this site presents word and diagram based problems across the mathematics curriculum. The problems originated from Canadian mathematics competitions. Brief hints and answers are provided. Measurements are metric. There are from 40 to 50 problems for each of the eight grades. Teachers would need to locate appropriate problems, but should find this a good resource. Students from Stages 3 to 6 could be directed to specific activities. Download is fast and navigation easy. The problems are in simple language, concise, and come from both real world applications and abstract algebraic, geometrical, and trigonometric constructs. G. Donaldson
USER LEVEL: Professional
KLA: Mathematics
SYLLABUS: Mathematics K-6; Mathematics 7-10; Mathematics Stage 6: General; Extension 1; Extension 2
SCIS SUBJECTS: Mathematics – Problems, exercises, etc.
KEYWORDS: Grade; word problems
PUBLISHER: St. Francis Xavier University, Canada
REVIEW DATE: 7/5/04 SCIS 1030741

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