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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 timetotime but I am no longer teaching at the University of Ballarat where I taught TJ591 and other units.
tildam@openeducators.org Hi,
I wanted to check in to make sure you got the email I sent you before with supportive parenting resources. I thought they’d be a good fit for this page on your site:http://www.rupert.id.au/TJ591/index.php. If you think they are, do feel free to share them there (or anywhere else you think makes sense). I included practical, everyday parenting tips, plus a few that will help both children and their parents with their emotional health. Also, if you’d like me to write a researchbased article on parenting just for your site, please let me know. Thanks!
Thanks,
Tilda
Tilda Moore, tildam@openeducators.org

Hi, 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? Banking Lesson Plan for ESL and EFL Students The Educator’s Guide to Real Estate Lesson Plans What’s Cooking?: A Culinary Curriculum for Cultivating Foodie Kids Earth and Space Science Units and Lessons for Grades 79 Theater Class: Emergency Lesson Plan Activities The Story Of Building & Rebuilding The White House 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 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/mathcalculators 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 :  )
Fibonacci 2 on Prezi
http://www.math.clemson.edu/~simms/neat/deskcal/
http://www.usacreditunions.com/teachingkidsmoney.html
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
http://www.amathsdictionaryforkids.com
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.
Websites used in Presentation:
Site  URL 
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 
MicroWorlds  http://www.microworlds.com 
What a Crowd  http://www.rupert.id.au/microworlds 
Math Cats  http://www.mathcats.com 
Pattern Blocks  http://matti.usu.edu/nlvm/nav/vm1_asid_171.html 
Geoboards  http://matti.usu.edu/nlvm/nav/frames_asid_277_g_1_t_3.html?open=activities 
A Broken Calculator  http://www.cuttheknot.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 
K12 Teaching Materials  http://archives.math.utk.edu/k12.html 
The Geometer’s Sketchpad  http://www.keypress.com/sketchpad 
Calculators  http://www.avlandesign.com/calc.htm 
Polyhedrons  http://www.chainwave.com/Poly/Default.htm 
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 
Galaxy  http://www.galaxy.com/galaxy/Science/Mathematics/Software/ 
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 
Resources  Links  Discuss  Submit  About CanTeach A List of Daily Math Graph & Yes/No Questions. 
http://www.canteach.ca/elementary/statprob9.html 
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 freesoftware for education. You will experience a new mathematical world ! 
http://hp.vector.co.jp/authors/VA019891/eng/ 
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. 
http://www.accesscom.com/~lillge/pgc/ 
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 
http://www.watchinc.com/articles/resourcesformath.html 
Math’s Fonts  http://www.rupert.id.au/fonts 
Fractals  http://matti.usu.edu/nlvm/nav/frames_asid_136_g_4_t_3.html 
Teacher Roles In ComputerEnriched 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. 
http://mathforum.org/dr.math/drmath.html 
ENIAC  http://www.library.upenn.edu/special/gallery/mauchly/jwm8b.html 
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/pcinformatik/histoire1.htm 
Clarification on requirements for the Research Project Research Project  30% Individual (Due: Week 9, Friday September
17, 2004) 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
http://csf.vcaa.vic.edu.au/ma/ksma.htm
Booker, G., Bond, D., Sparrow, L., & Swan, P., (2003). Teaching Primary Mathematics, NSW: Pearson.
Check availability
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. (
2nd edition)
Longman Cheshire.
Check
availability
Grimson, L. & Pegg, J. (eds.) (1995).Teaching secondary school mathematics: Theory into practice, Harcourt Brace, Aust.,
Australian Association of Mathematics Teachers (AAMT)
http://www.aamt.edu.au
Mathematical Association of Victoria (MAV)
61 Blyth Street
BRUNSWICK VIC 3056
telephone: (03) 9380 2399
facsimile: (03) 9380 8323
email: office@mav.vic.edu.au
http://www.mav.vic.edu.auWhat is the MAV?
The Mathematical Association of Victoria is a membershipdriven 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 nonprofit professional Association for nearly 100 years.
www.edulists.com.au Mailing Lists
Yr710maths Year 710 Mathematics Teachers' Mailing Listhttp://www.edulists.com.au/mailman/listinfo
see also:
yr11it Year 11 Information Technology Teachers' Mailing List
Yr710it Year 7  10 Information Technology Teachers' Mailing List
Statement on the Use of Calculators and Computers for
Mathematics in Australian Schools 1996http://www.aamt.edu.au/about/policy/tech_st.pdf
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:
http://www.vcaa.vic.edu.au/csfcd/home.htm.Deakin University Maths Education Resources page
http://education.deakin.edu.au/resources/maths_ed/HomePages/UsingWWW.htmlhttp://www.efofex.com/fxdraw.shtml
http://www.nrich.maths.org/mathsf/journalf/jul03/games.html
http://nrich.maths.org/mathsf/journalf/sep02/game1/index.html
http://thesaurus.maths.org Maths Thesaurus
http://www.2july.co.uk/resources.htm
http://www.primaryresources.co.uk/maths/maths.htm
http://www.ics.uci.edu/~eppstein/junkyard/3d.html
The Mathematical Association of Victoria (MAV) has an outstanding website
http://www.mav.vic.edu.auhttp://www.teachers.ash.org.au/jeather/maths/dictionary.html
http://www.microworlds.com/library/math/index.html
Week 1 Introductory session: Introduction to learning and teaching mathematics;
Unit overview and expectations
More
images
Energiser:

Week 2 TJ591Learning and teaching mathematicsSummary of responses A
Snowflake Primer Guide
to Snowflakes Historic
Snowflakes Snow
Crystal Photographs They are not all 6 sided!Unusual
Snow Crystals
Note: I have ordered this book for the TRC. When it comes in I will put a link to it's call number here. http://www.lsbu.ac.uk/water/ice1h.html http://www.nyu.edu/pages/mathmol/modules/water/info_water.html http://library.tedankara.k12.tr/chemistry/vol2/hydrogen%20bonding/z20.htm http://snowflakebentley.com/snowflakes.htm CDROM Series
http://www.its.caltech.edu/~atomic/snowcrystals/photos/photos.htm
http://vermontsnowflakes.com/tshirts.htm#tp http://vermontsnowflakes.com/books.htm#stp
Mt Helen TRC BENF Links from: http://snowflakebentley.com
Why
do snowflakes crystallize into such intricate structures? Scientific American's, "Why do snowflakes crystallize...?"
http://www.charlesgilchrist.com/SGEO/Gal1001.html http://www.ies.co.jp/math/java/geo/pytree/pytree.html http://www.statkart.no/skme/produkt/delta/internasjonale/lena_satstor.jpg
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 Geometry in the Real World: Students as Architects 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 2,000student 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
projects LINKING
PRACTICE AND THEORY: http://educ.queensu.ca/~ar/aera2001/Korthagen2001.pdf

Week 3 Music and the Fibonacci
Series Phi for Neophites Dr. Levin's Golden Mean
Gauges Behind the Cafe Union Building Next Monday
Analyse, explain and compare the spatial properties of lines, angles, polygons, polyhedra and crosssections using conventional spatial terms.This is evident when the student is able to:
http://www.fi.uu.nl/toepassingen/00297/toepassing_wisweb.en.html http://www.fi.uu.nl/wisweb/en/ http://www.fi.uu.nl/wisweb/en/home/welcome.html List of Geometry Applets Link added March 20 2007 overview of WisWebapplets 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? 






Week 4
At
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. Great MathsWebsites
to Explore Top: Science: Math: Recreations: Games and Puzzles (83)
What
is a prime number? How can you find prime numbers? What's the 'Sieve
of Eratosthenes'? What's the largest known prime? OnLine Encyclopedia of Integer Sequences Fractals
http://www.mersenne.org/prime.htm Internet PrimeNet Server
Serious research. Totally for fun.
Mastermind Game 1) Pick a number and write it down so you will not forget it. e.g.
12,347 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. Key
Example game

Week 5 How
to Get Students to Talk in Class Designing
Effective Discussion Questions Tips
on Discussion Leading SelfHelp
for Beginning Teachers
Maths Links This
site has links to some good looking resources
http://www.math.hmc.edu/funfacts/submit.shtml http://www.math.hmc.edu/funfacts/ http://www.math.hmc.edu/funfacts/allfacts.shtml http://www.mathnstuff.com/math/spoken/here/2class/cspred0.htm http://www.physlink.com/Reference/MathConstants.cfm IHES DISCOVERY 5th
Grade 
Week 6 Literacy & Numeracy Week  EYS  Resources  Useful Books Contents: Anno, Mitsumasa., Anno’s Counting Book. London: Macmillan
1985 Allen, Pamela., Mr Archimedes Bath. Sydney: Collins 1980 Literature related to Space (shape) Armstrong, Shane., I Like Shapes. Scholastic (Reading Discovery)
1996 Literature related to Space (location) Allen, Pamela., A lion in the Night. Ringwood Victoria: Puffin
1988 Literature related to Chance and Data Ahlberg, Janet & Alan., The baby’s catalogue. Harmondsworth
UK: Puffin 1986 Source: 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).
BOOKS THAT
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 
Week 7
PowerPoint from Lecture Week 7
A
list of some interesting looking maths resources This is a facinating site that is well worth a look Interactive Mathematics
Miscellany and Puzzles Other sites
of interest
A
Broken Calculator
'Broken Calculator' Activity
Links
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
Calculators 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). http://www.fi.uu.nl/wisweb/welcome_en.html

Week 8
http://www.orthohelp.com/number.htm It's all about angles ! and "O" has no angles http://www.orthohelp.com/number.htm

Week 9 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 
Week 10 PowerPoint from Lecture Week 10Caution this is a 14Mb file which will take about 4 hours to download via a modem. Links from the above PowerPoint
Calculators in the math's room See list of links from the presentation Age
Calculator
Enter your date of birth
by The JavaScript Source
by The JavaScript Source
Day of Week
by The JavaScript Source
Blood Alcohol Content (BAC)
Calculator An Australian Blood Alcohol Concentration (BAC) Calculator Body Mass Index (BMI) Calculator Calculate your target heart rate for fitness The Abacus vs. the Electric Calculator
MARTINDALE'S CALCULATORS
ONLINE CENTER Calculator
use Why Use Calculators (and Other Technologies) in the High School Math Classroom? Number
Shapes Put a number inside a square.
Wipe
Out 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. Materials Procedure 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. 
Week 11 Instructions for the summation 2003 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
InstructionsTJ 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.) Consider: 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. 
Week 12
http://www.literacycenter.net/lessonview_en.htm http://www.mathsisfun.com/maths_links.html Mandelbrot Images Web resources for teaching with technology 6. Fractal programs http://fractals.iut.ubordeaux1.fr/fartfaq/index.html Here are various selected topics related to Geometry
and Trigonometry Angles
and Parallel Lines Applets Introduction to Trigonometric Functions Applets
Slide
Rule Solid
of Rotation Applet Calculus Applets Life32
by Johan Bontes Recreational
Mathematics Mathworld
Animated GIFs
 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

Week 13

Readings:
http://www.ascilite.org.au/ajet/ajet19/chinnappan.html
Australian Journal of Educational Technology
2003, 19(2), 176191.
Integrating Computers
in the Constructivist Classroom:
Enrich Your Students Learning Environment With Computers
http://205.146.39.13/confcen/aect/gullo.htm
The followiing list was compiled by Kylie Astbury
http://www.amby.com/educate/ordop This website is about the basic rule PEMDAS (Please Excuse My Dear Aunty Sally). There are 10 questions in the pretest and once you answer the 10 questions you get a score telling you how many you got right. Once you have completed the pretest you can move onto the tutorial where it gets a little bit more tricky. 
http://mathworld.wolfram.com/ 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. 
http://www.mathsisfun.com/ 
http://www.mathgoodies.com/students.shtm This web page is designed to make maths more interactive and get children more involved, with the topics including introduction to statistics, topics in prealgebra, 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. 
http://www.homeschoolmath.net/ 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. 
APA citation:
Russell, R. (2019, May 21, 08:09 am). TJ591 learning and teaching mathematics I.
Retrieved August 23, 2019, from http://www.rupert.id.au/TJ591/index.php
Last refreshed: August 23 2019. 07:38.10 am
This work is licensed under a Creative Commons AttributionNonCommercialShareAlike 2.5 License.