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Home > TJ591 Learning and Teaching Mathematics I
Please note that this page is no longer in curent use. I will update it from time-to-time but I am no longer teaching at the University of Ballarat where I taught TJ591 and other units.
Hello, Might I suggest a new addition to the resources list? ( from http://rupert.id.au/TJ591/index.php )
TITLE: Good Calculators URL: http://goodcalculators.com
DESCRIPTION: This website provides a variety of online calculators, math and physics, financial, statistics, engineering and conversion calculators.
Best wishes, Andrew Stacy
Teachers report that one of the biggest professional challenges they encounter is inadequate guidance for lesson planning. In fact, more than 40 percent said their schools or districts gave them few to no resources to plan curriculum, and what was provided usually wasn’t helpful.
I’m a home educator and completely understand the struggle. I do a lot of my own supplemental lesson plan research, which is how I came across your website. I thought I had a few pieces that would look great on this page: http://www.rupert.id.au/TJ591/index.php -- can you share them there?
I hope these resources meet your standards, but if you’d prefer I don’t reach out in the future, please send me an email with the word REMOVE in the body.
Thanks for your time!
Jenny Wise, specialhomeeducator.com
Dear Kim, from Ms. Ward's classroom in Delaware.
Thanks Kelly for passing on another recommendation from the kids in your class:
Thanks Kelly for your encouragement and for passing on the recommendation from the kids in your class for the the following site:
Thanks Frannie, I am glad you have found this page useful.
I have induced your recommend link the www.mortgagecalculator.net/math-calculators page. You may also like the http://www.calculator.net/ page
PS I like the binary calculator see below for what you get when you Goggle binary : - )
Recommended by Sarah Smith link added September 25, 2010
Thanks Sarah, I had forgotten about the Lemonade Stand game, There
are some other nice resources in the Teaching Kids Money site that you recommended.
Maths Dictionary for Kids
An animated, interactive dictionary for students which explains over 500 common mathematical terms
link added June 9, 2007
502 visits shown above - 11 Jul 2009 to 2 Sep 2009
Total since 8 Jul 2006: 10,774. Previous 24hrs: 17.
Mathematics Summation 2003
Summation criteria 2003
Instructions for the summation 2003
Mathematics Summation 2002
Mathematics Summation 2001
Week 8 Lecture Notes 4,707 KB
Websites used in Presentation:
|The Mathematical Association of Victoria||http://www.mav.vic.edu.au|
|A Maths Dictionary for Kids||http://www.teachers.ash.org.au/jeather/maths/dictionary.html|
|What a Crowd||http://www.rupert.id.au/microworlds|
|A Broken Calculator||http://www.cut-the-knot.org/Curriculum/Arithmetic/BrokenCalculator.shtml|
|A Broken Calculator||http://www.fi.uu.nl/toepassingen/00014/toepassing.xml?language=en|
|National Library for Virtual Manipulatives||http://matti.usu.edu/nlvm/nav|
|K-12 Teaching Materials||http://archives.math.utk.edu/k12.html|
|The Geometer’s Sketchpad||http://www.keypress.com/sketchpad|
|3D Simulation of folding Nets||http://www.fi.uu.nl/toepassingen/00297/toepassing.xml?&language=en|
|Small Stella 3D Polyhedron simulator||http://home.aanet.com.au/robertw/Downloads.html|
|The Expanding Circle||http://www15.addr.com/~dscher/expcircle.html|
|To Excel in the Classroom||http://www.forsyth.k12.ga.us/kadkins/spreadsheet.htm|
|Pictographs for young children||http://www.forsyth.k12.ga.us/kadkins/picgraph.htm|
|Using the If formula will allow you to create self checking activities in Excel||http://www.forsyth.k12.ga.us/kadkins/ifthen03.htm|
A List of Daily Math Graph & Yes/No Questions.
|The following data sets can be downloaded as Excel spreadsheets by simply clicking on the desired title. The downloaded lists can then be sorted, manipulated, and graphed on your computer in the same way that any spreadsheet is manipulated.||http://mathforum.org/workshops/sum96/data.collections/datalibrary/data.set6.html|
|The house of Mathematics software provides the free-software for education.
You will experience a new mathematical world !
|The Plane Graphic Calculator is a software tool that interactively displays
a graphical view of mathematical functions.
This calculator is intended
primarily as an educational aid to understanding the geometric interpretation
of mathematical functions.
|Classrooms that Excel Resources||http://www.sabine.k12.la.us/class/excel_resources.htm|
|LT Technologies | Teacher Resources - Internet Links | Spreadsheets||http://www.lttechno.com/links/spreadsheets.html|
Contains a really great list of links to resources for math students, all the way from basic arithmetic to calculus and discrete math.
Thank to Suzy Maguire for this link
|Teacher Roles In Computer-Enriched Classrooms||http://www.kidsource.com/kidsource/content2/integrate.computers.html|
|Ask Dr. Math
Students can ask questions about math problems.
It is fun to read the student questions and see the
answers. Try it. You might learn something new.
|The term “bug” has been used for problems in machinery since electricity was invented. But the first computer bug was actually a moth! In 1945, a computer being tested at Harvard University stalled when a moth got caught inside. The engineers taped the moth into their computer log with the note, “First actual case of bug being found.”||http://perso.wanadoo.fr/pc-informatik/histoire1.htm|
Example Portfolio from 2004
Clarification on requirements for the Research Project
Research Project - 30% Individual (Due: Week 9, Friday September
I have confirmed with Robyn that you must plan & implement an activity. It does not have to be a whole class activity if you organise a small group activity that will be fine.
If you are having problems arranging an activity within your class please
let me know ASAP Rupert.
|Statement on plagiarism for inclusion
in Semester 2 2004 Unit Descriptions
Plagiarism is the presentation of the expressed thought or work of another person as though it is one’s own without properly acknowledging that person. The University’s Statute 6.1 Student Discipline and Regulation 6.1 Student Discipline make it clear that plagiarising is a breach of student discipline and may incur a range of penalties.
CSF II Mathematics
What are Fractals?
Booker, G., Bond, D., Sparrow, L., & Swan, P., (2003). Teaching Primary Mathematics, NSW: Pearson.
3rd Edition Mt. Helen Campus Library Call Number 510.7 TEA3
Check availability 2nd Edition Mt. Helen Campus Library Call Number 510.7 TEA2
de Klerk, J. (1990) Illustrated Maths Dictionary for Australian Schools. (
Grimson, L. & Pegg, J. (eds.) (1995).Teaching secondary school mathematics: Theory into practice, Harcourt Brace, Aust.,
Australian Association of Mathematics Teachers (AAMT)
Mathematical Association of Victoria (MAV)
61 Blyth Street
BRUNSWICK VIC 3056
telephone: (03) 9380 2399
facsimile: (03) 9380 8323
What is the MAV?
The Mathematical Association of Victoria is a membership-driven Association that provides a voice, leadership and professional support for mathematical education. Through our programs and services we aim to promote mathematics, mathematics education, and its importance to society. Our Association has over 1,700 members from all sectors of education and has been an active non-profit professional Association for nearly 100 years.
www.edulists.com.au Mailing Lists
Yr7-10maths Year 7-10 Mathematics Teachers' Mailing List
yr11it Year 11 Information Technology Teachers' Mailing List
Yr7-10it Year 7 - 10 Information Technology Teachers' Mailing List
Statement on the Use of Calculators and Computers for
Mathematics in Australian Schools 1996
CSF II Online
Board of Studies. (2000). Curriculum and standards framework II: Mathematics. Carlton: Victorian Author.
Retrieved November 12, 2001, from: Victorian Curriculum and Assessment Authority Web site:
Deakin University Maths Education Resources page
http://thesaurus.maths.org Maths Thesaurus
The Mathematical Association of Victoria (MAV) has an outstanding web-site
Worms Web » Mathematics
Introductory session: Introduction to learning and teaching mathematics;
Unit overview and expectations
TJ591-Learning and teaching mathematics-Summary of responses
http://snowflakebentley.com/snowflakes.htm CD-ROM Series
Mt Helen TRC BEN-F
Links from: http://snowflakebentley.com
do snowflakes crystallize into such intricate structures?
Scientific American's, "Why do snowflakes crystallize...?"
References to readings:
The Reading on Constructivisim was from:
The ALACT diagram was from:
Korthagen, F.,(2001) Linking practice and theory: The pedagogy of Realistic Teacher Education. New Jersey: Lawrence Erlbaum.
The title of the Journal
Designing a School for the Future
Every spring at Mountlake Terrace High School near Seattle, Washington, students in Eeva Reeder's geometry classes work feverishly to complete an architectural challenge: Design a 2,000-student high school to meet learning needs in the year 2050, fitting it on a given site. In a period of six weeks, students must develop a site plan, scale model, floor plans, perspective drawing, cost estimate, and written proposal. Read the whole article
Eeva Reeder on Projects and Assessment
Examples of student
PRACTICE AND THEORY:
Music and the Fibonacci
Phi for Neo-phi-tes
Dr. Levin's Golden Mean
Behind the Cafe Union Building Next Monday
Analyse, explain and compare the spatial properties of lines, angles, polygons, polyhedra and cross-sections using conventional spatial terms.
This is evident when the student is able to:
List of Geometry Applets Link added March 20 2007
overview of WisWeb-applets Link added March 20 2007
Reflective comments from week 2
A selection of Week 2 Reflections:
1. Briefly outline your most memorable mathematics experience:
2. Explain how you think you have gained your understanding of mathematical concepts?
3. What do you think are the most important consideration when learning mathematics?
4. What do you think are the most important
considerations when teaching mathematics?
5. How do you feel about the prospect of teaching mathematics?
6. What would you like to learn about during this semester, related to the teaching and learning of mathematics?
7. How might this outcome (Q. 6 ) be achieved?
8. How might success be measured (Referee to question 6)
9. Any other comments?
this page you find some selected links ordered by topic, where we
have laid emphasis on interactive learning material which needs no download
or additional software, although some spreadsheets (requiring Microsoft
Excel to run on your computer) and other media have been included.
Internet PrimeNet Server
Serious research. Totally for fun.
1) Pick a number and write it down so you will not forget it. e.g.
2) On the board draw a line for each digit in the number that you picked. e.g. ____ ____ , ____ ____ ____
3) Students guess a possible answer e.g 17,409
4) On each line wrie the number that students guess and above the digit draw symbol or use a tick, cross, or circle depending if the digit that was guessed matches the number you picked.
to Get Students to Talk in Class
Effective Discussion Questions
on Discussion Leading
for Beginning Teachers
Maths Links This
site has links to some good looking resources
Literacy & Numeracy Week - EYS - Resources - Useful Books
Anno, Mitsumasa., Annos Counting Book. London: Macmillan
Allen, Pamela., Mr Archimedes Bath. Sydney: Collins 1980
Literature related to Space (shape)
Armstrong, Shane., I Like Shapes. Scholastic (Reading Discovery)
Literature related to Space (location)
Allen, Pamela., A lion in the Night. Ringwood Victoria: Puffin
Literature related to Chance and Data
Ahlberg, Janet & Alan., The babys catalogue. Harmondsworth
UK: Puffin 1986
Useful Books. This website has been developed to support schools in their implementation of Literacy and Numeracy Week celebrations, both with the school and the local community. The website offers support for planning activities and events, a wide range of student activities and events from an individual level to a whole school level, resources that can be used and a range of ways literacy and numeracy can be promoted within the school community.
From the Children's Picture Book Database at Miami University Your Search for Numbers produced 143 item(s).
COUNT A selection of books to support maths at KS1 This
Google search for "using children's literature to teach math"
"One, ten, hundred, thousand, ten thousand, hundred thousand, million, ten million, hundred million, billion, ..."
Names are on threes... on 3, 6, 9 (thousand, million, billion). Each ,000,.
The names "billion" and "trillion" mean different things in
different countries. This is the US version.
See also Names of Large Numbers
PowerPoint from Lecture Week 7
list of some interesting looking maths resources
This is a facinating site that is well worth a look
Miscellany and Puzzles
'Broken Calculator' Activity
Some of the keys on the calculator do not work. Can you make a target answer using only the working keys?
Can you make all the numbers from 1 to 20 if only the following keys work?
2 3 + - = clear
What numbers can you make if only these keys work?
4 + - x = clear
The Island of Discarded
http://www.math.com/students/tools.html Calculators & Tools
WisWeb is the website of the Freudenthal Institute
for secondary education (students of 12 to 18 years old).
It's all about angles !
and "O" has no angles
Hello Rupert, Michelle Smith here. I have a problem for you, I have asked the same question of Robyn and Greg and as of yet have not received and answer. The one of the focuses of TJ591 is to make Mathematics meaningful and to give it relevance to our everyday life. Well I am hoping that you will be able to give my a realistic application for linear algebra. Both my children are learning about linear algebra and both of them are struggling with the concept as they are not able to see any relevance for usage of linear algebra in their lives. My son is doing year 11 and my daughter is in year 9 doing year 10 extensions and neither of their teachers are able to give them a real life application for the use of linear algebra, my son believes that the process could possibly be used by pilots, however he is not completely sure of this, .Although if this is the case then I van understand the children's frustrations as neither of them aspire to being a pilot. Thanks for taking the time to read my request Michelle Smith.
Thak a look at:
Linear Algebra and Its Applications
~ Break ~ Monday 22 September Friday 3 October
PowerPoint from Lecture Week 10
Caution this is a 14Mb file which will take about 4 hours to download via a modem.
Links from the above PowerPoint
Enter your date of birth
Day of Week
Blood Alcohol Content (BAC)
Put a number inside a square.
As with other Calculating Changes activities the value of Wipe Out
lies not in doing it once, but rather in threading it through the curriculum
for just a few minutes in say two/three sessions per week for 6 - 8
weeks. Each representation offers students the familiarity of known
structure within the stimulation of a new challenge. Far from becoming
boring, this approach provides security through which children collect
and organise their personal conceptual data, as they struggle to make
sense of how numbers work.
As you say this write the 302 under the 352, draw an arrow between
them and write 'take away ONE number'.
You may also have to explain that by one number you don't necessarily
mean one digit.
As the children discover they need to subtract 50 in order to successfully wipe out the 5, they hold their 'successful' calculator in the air to invite you to see them do it. You will easily be able to get around most of the class before needing to write up the next example.
TJ591- Mathematics Summation
(The National Statement on mathematics for Australian Schools, 1991- Australian Education Council and Curriculum Corporation)
Summation criteria TJ591, Semester 2, 2003
• Links to theories of learning and teaching mathematics
TJ 591: Summation, Week 13, 2003
A one hour summation of your understandings of the teaching and learning of mathematics, based on the experiences and understandings gained throughout the semester. You will reflect on your role as a teacher and learner of mathematics. (This will be situated within a context- i.e. a response to a question/quote.)
Criteria for assessment
• Level of understanding of the concepts and processes linked
to the teaching and learning of mathematics.
TJ591- Mathematics Summation
(The National Statement on mathematics for Australian Schools, 1991- Australian Education Council and Curriculum Corporation)
TJ591- Learning and Teaching Mathematics
"Teachers teach mathematics as they were taught mathematics."
Discuss in light of the issues that have been considered throughout the semester. Refer to a broad range of mathematical issues and refer to lectures, forums, tutorials/workshops, presentations, readings and professional experience.
Web resources for teaching with technology
6. Fractal programs
Here are various selected topics related to Geometry
and Parallel Lines Applets
of Rotation Applet
by Johan Bontes
- Solid Of Rotation (SOR) -
There is quite a bit of history on this item. One of the assignments in a computer graphics course at the University of Victoria was to rotate a number of Bezier curves around an axis and display the result in 3D using a single light source. This was on Sun Sparcs using X. Since then the program has mutated to match my platform preference at a given time (DOS, Windows, Linux). The latest mutation has been to SDL/OpenGL and the result runs happily on Linux and Windows. Screenshot junkies might find the following of interest: by Frank Becker
Mathematics learning forum: Role of ICT in the construction of pre-service teachers' content knowledge schema
Australian Journal of Educational Technology
2003, 19(2), 176-191.
in the Constructivist Classroom:
Enrich Your Students Learning Environment With Computers
The followiing list was compiled by Kylie Astbury
This website is about the basic rule PEMDAS (Please Excuse My Dear Aunty Sally). There are 10 questions in the pre-test and once you answer the 10 questions you get a score telling you how many you got right. Once you have completed the pre-test you can move onto the tutorial where it gets a little bit more tricky.
This website has many topic that you can research on the index column.
The topics have many related topics within them that allow you to explore the different aspects in each topic.
This web page is designed to make maths more interactive and get children more involved, with the topics including introduction to statistics, topics in pre-algebra, integers and number theory. This site also provides links to homework help forums, puzzles that you can print off and do them from home and links to discounted math books.
This web site has a variety of links aimed at helping many people improve with their maths skills. There are many teaching tips for all age groups and has online math resources. This site has advise on home schooling and many fun little activities for the children to play on to familiarise them with useful math terms.
Russell, R. (2017, April 13, 08:37 am). TJ591 learning and teaching mathematics I.
Retrieved November 19, 2017, from http://www.rupert.id.au/TJ591/index.php
Last refreshed: November 19 2017. 01:13.38 am
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.