Maths Links

8/12/2019 Maths Links

http://slidepdf.com/reader/full/maths-links 1/11

Maths links Term 1, 2014

Robertson, Christopher

Dear colleague,

Following is the Term 1, 2014 edition of Maths links.

If you are having difficulty viewing Maths links as an email, click on this link to view the pdf version

(443 kB).

Please consider the environment before printing this newsletter.

Regards,

Chris

Sent: Wednesday, 26 February 2014 1:28 PM

To: Robertson, Christopher

Term 1, 2014 Welcome to 2014In this issue …

Support for the new NSW

K−10 syllabus

Integrating ICT in the

classroom

Illustrations of practice

The GIA report

Years 7‐10 Life Skills

Professional learning from

MANSW

MERGA 37

Business arising

Blast from the past

Quick links

NSW syllabuses for AC:

Welcome to the first edition of Maths links for 2014. Throughout the

year we will bring you up to date news and information about teaching

and learning resources, professional learning and other curriculum

initiatives.

To subscribe, unsubscribe or provide feedback, please email

[email protected]

Support for the new NSW K-10 syllabus

The Department has worked closely with Education Services Australia

to develop a version of Scootle that better suits the needs of NSW DEC

teachers and students. NSW DEC Scootle is a tailored version of

national Scootle that enables the user to prioritise resources that have

been produced by the Department and are aligned to the NSW

syllabuses for the Australian Curriculum.

At the time of launch of NSW

DEC Scootle, the Department

had contributed over 650resources to the national

collection. These contributions

are all mapped to the NSW

of 11Maths links Term 1, 2014

31/03/2014https://staffowa.det.nsw.edu.au/owa/?ae=Item&t=IPM.Note&id=RgAAAAAiP22NO...



Implementation support

NSW DEC Scootle

TaLe

The GIA

NSW HSC online

Curriculum support

Literacy and Numeracy

continuums support

State Office contacts

NSW DEC Scootle users also have access to a wide range of digital

resources contributed by other educational jurisdictions across

Australia. The National Digital Learning Resources Network is a

repository of 20 000 free‐for‐education resources and includes learning

objects, images, audio, video, collections, teacher resources,

assessment resources and data sets.

Other features of NSW DEC Scootle include:

Learning paths – A national platform that allows teachers to

integrate selected digital resources with learning tasks and make

them available for students.

Improve – A national formative assessment tool where teacherscan create their own test items and link these to student resources.

Scootle Community – A national social networking tool, currentlywith 5000 active users and over 320 teacher‐created network

groups.

Ongoing development of NSW DEC Scootle will include the addition of

further resources supporting the NSW syllabuses for the Australian

Curriculum and resource integration with Program Builder .

Digital resources supporting other NSW syllabuses will continue to be

found through the Teaching and Learning Exchange (TaLe).

To access NSW DEC Scootle, logon to the NSW DEC portal, click on the

My websites tab and then follow the link to AC – NSW DEC Scootle.

↑Back to top

syllabuses for the Australian

Curriculum. As new resources

are developed, the collection

will be further enhanced.

In 2014, the SyllabusPLUS Adobe Connect professional development

series will continue to highlight changes within the NSW K‐10

Mathematics Syllabus and explore teaching ideas for 21st century

learners.

K-6 series

Series two of the SyllabusPlus Mathematics K-6 webinars commenced

on Tuesday 11 February. If you missed the first session, click here to

view the recording (NSW DEC logon required).

To enrol in the remaining sessions, follow the links below:

Session 2: Making connections Part A (3:30 – 4:00 pm on Tuesday

25 February)

https://www.det.nsw.edu.au/docprs/publicViewEvent.do?eventId=72077 Session 3: Making connections Part B (3:30 – 4:00 pm on Tuesday

11 March)





https://www.det.nsw.edu.au/docprs/publicViewEvent.do?eventId=72078

Session 4: Key concepts within the syllabus (3:30 – 4:00 pm on

Tuesday 25 March)


Session 5: Key concepts – a language focus (3:30 – 4:00 pm onTuesday 8 April)


If you missed series one from Term 4 2013, recordings can be accessed

via the following links (NSW DEC logon required):

Session 1: Understanding the new syllabus

Session 2: Maths in context: embedding the learning across the

curriculum areas

Session 3: What’s new: Number and Algebra

Session 4: What’s new: Measurement and Geometry

Session 5: What’s new: Statistics and Probability

↑Back to top

7-10 series

Series three of the SyllabusPlus Mathematics 7-10 webinars

commences on Wednesday 26 February. The program is as follows:

Session 1: Financial literacy (3:30 – 4:00 pm on Wednesday 26

February) with Colleen Blancato

Session 2: Teaching mathematical reasoning (3:30 – 4:00 pm on

Monday 10 March) with Peter Gould

Session 3: Measurement and Geometry (3:30 – 4:00 pm on

Monday 24 March) with Nagla Jebeile and Chris Robertson

Session 4: Implications for programming (3:30 – 4:00 pm on

Thursday 3 April) with Nagla Jebeile and Chris Robertson

To enrol in the four sessions, go to:


If you missed series two from Term 4 2013, recordings can be accessed

via the following links (NSW DEC logon required): Session 1: Differentiating the curriculum, EAL/D learners and the

new syllabus

Session 2: Implications and considerations for teaching Stage 5

Mathematics

Session 3: Integrating digital technologies in Stage 4 Mathematics

Session 4: Integrating digital technologies in Stage 5 Mathematics

STOP PRESS: We are currently in the process of producing A1 size

posters displaying the Mathematics K‐

10 Continuum of Key Ideas.These will be distributed to all schools from April 2014. Further

information will be emailed to you in the coming weeks.





↑Back to top

Integrating ICT in the classroom

Transforming education to meet the needs of today’s learners requires

ongoing support for teachers as they implement new teaching

practices. The Intel® Teach program helps K–12 teachers integrate

technology effectively into classrooms and promote student‐centred

approaches, engaging students in learning and preparing them with

critical skills for success in our digital world.

Delivered through public‐private partnerships with government

ministries and teacher education institutions worldwide, the Intel®

Teach program is the largest program of its kind. The NSW Department

of Education and Communities has delivered the program to teachers

in NSW government schools since 2003.

The current program , Intel® Teach Elements, comprises three

Institute‐registered self ‐study courses, each with an e‐learning and

action planning component. To download a program overview, click onthe links below:

Collaboration in the Digital Classroom

Assessment in 21st

Century Classrooms

Project‐Based Approaches

To enrol in an Intel® Teach Elements self ‐study program on

My PL@Edu, follow the links below:

Collaboration in the Digital Classroom

Assessment in 21st Century Classrooms

Project‐Based Approaches

For further information, email [email protected]

↑Back to top





Illustrations of practice

In December 2010, all states and territories agreed to implement

nationally consistent policies to guide teachers’ preparation, induction,

professional development and return to teaching.

At the centre of this agreement are the Australian Professional

Standards for Teachers. Like the NSW Professional Teaching Standards,

they provide a clear framework to guide teachers in the development

of evidence for accreditation, and the maintenance of accreditation

through professional learning. The national standards are being

adopted in NSW in a phased approach which commenced in October2012.

The website of the Australian Institute for Teaching and School

Leadership features a series of videos showing illustrations of practice

in the mathematics classroom at Graduate, Proficient, Highly

Accomplished and Lead career stages.

These videos will be an invaluable resource in helping teachers to

situate their own practice within the national professional standards.

↑Back to top





GeoGebra Institute of Australia reportMore exciting news this issue with the release in mid December 2013

of GeoGebra version 4.4. The latest version boasts a number of new

features and enhancements, including a faster and more powerful CAS

view.

Full details of the latest advances are listed in the GeoGebra 4.4 release

notes. To download the latest version of GeoGebra, go to:

http://www.geogebra.org/download/

A reminder to all our readers that the GeoGebra Institute of Australia

website has

a great

collection

of

teaching

and

learning

resources,

ready

for immediate use in your classroom. In this issue of Maths Links, and

in future issues, we will bring in to focus some of the many resources

that are available on the GIA website and on other websites of the

international GeoGebra community.

Fundamental to Stage 6 Mathematics students’ understanding of

integral calculus is the approximation of the area bounded by a curve

y = f(x), the x-axis and the ordinates x = a and x = b, by taking the sum

of the areas of ‘upper’ and ‘lower’ rectangles. This is a concept that is

not easily understood with only a static diagram as a teaching aid.

Upper and

lower

rectangles

allows

students

to

explore

this

concept

‘dynamically’. By using the ‘slider’ to increase the number of sub-

intervals, students are able to test their assumptions and determine

the relationship between: the sum of the areas of the lower rectangles;

the sum of the areas of the upper rectangles; and the exact area.

Upper and lower rectangles is one of a collection of ‘dynamic

worksheets’ found in the library of user-submitted resources.

Also worth a look is this website:

http://mrskrummel.com/apps/Geometry/ch11_SurfaceArea.html

This page has a series of applets to aid students’ understanding of

surface area.

Enjoy!

↑Back to top

Year 7-10 Life Skills support

The Board of Studies, Teaching and Educational Standards (BOSTES)

has developed a series of Life Skills resources for the NSW syllabuses

for the Australian Curriculum.

Teachers can use these worksheets to keep a progressive record of the

Life Skills outcomes achieved by a student in a given year, or across a

number of years.

Sample scope

and

sequences,

units

of

learning

and

other

support

materials can be downloaded at:

http://syllabus.bos.nsw.edu.au/life-skills-support-materials/





↑Back to top

Professional learning from MANSW

MANSW will be holding a K to 8 conference on Saturday 29 March at

Bankstown Sports Club titled Implementing the new NSW Mathematics

syllabus: Off to a flying start .

The conference will feature a keynote presentation by Dr Paul Shaw

who was

recently

awarded

a Fellowship

from

the

Australian

College

of

Educational Leaders for his work with school leaders on improving the

teaching of mathematics. Workshops will cover a wide range of topics

and will include hands-on sessions covering all strands of the NSW

syllabus from Early Stage 1 to Stage 4.

For further information and registration details, visit:

http://www.mansw.nsw.edu.au/Homepage/K8Conference.aspx

↑Back to top

MERGA 37The 37th annual conference of the Mathematics Education Research

Group of Australasia (MERGA) will be held in Sydney from 29 June to 3

July 2014.

The conference theme will be Curriculum in Focus: Research guided

practice. Of particular interest will be the keynote address by Professor

Berinderjeet Kaur on the evolution of Singapore's school mathematics

curriculum.

For further information, download the flyer (pdf 323kB) or visit:

http://www.cvent.com/events/curriculum-in

-focus

-research

-guided

-

practice/event-summary-cfde456fe6c0471eb95c38e13963c8ab.aspx

↑Back to top

From previous editions

In the Term 3 2013 edition of Maths links, we brought you an article on

MoneySmart Teaching. This is a comprehensive strategy to develop

consumer and financial literacy in young Australians. If you are

interested in knowing more about this initative, read the latest

information in this flyer (pdf 92kB).

Many of our schools joined the Bridges Connect: Maths Fun Day Video

Conference advertised in

the

Term

4 2013

edition

of

Maths links.

If

you

missed this event, you and your students can view the recordings via

the following links:

The romance of numbers

Infinity and beyond

“That’s so random!”: How do mathematicians deal with chance

and uncertainty?

Telling a story – using statistics to help us understand the world.

↑Back to top

A blast from the past





In this section of Maths links we revisit favourite articles from the

Curriculum Support publication. The article in focus in this edition was

written by Peter Gould and was published in the secondary newsletter

in Term 3, 2009.

The geometry of folding a square

Folding a paper square can give rise to many challenging geometry

questions. By

working

through

the

following

sequence

of

folding

a

square, a number of geometry investigations for a Stage 4 or 5 class

will develop. Start with a square and fold and unfold as in Figure 1.

Next, take the bottom left corner and fold it along the diagonal of the

lower rectangle (Figure 2).

You might like to pause at this point and determine the length of the

diagonal folded, taking the original size of the side of the square to be 2

units. A quick application of Pythagoras’ theorem and we are ready to

move on.

Next, take the diagonal crease you have just formed and fold the paper

so that the crease aligns with the right-hand vertical side.

Alternatively,

this

could

be

described

as

folding

the

right

side

of

the

square to the diagonal of length and unfolding. This fold creates

two equal angles, which you might want to label with a dot. Turn the





Chris Robertson

Mathematics Advisor

whole square 90° clockwise.

Fold the top edge of the square down to form a rectangle with one

vertex defined by the intersection of the crease and the new right side,

and unfold. Label the points as above (Figure 4), noting that point R is

created so that DP = DR. That is, the location of point R is formed

when DP is folded (along DB) to align with DA.

Show that < ADB = <QPR and triangle ADB and QPR are congruent.

Deduce that and that .

This means that rectangle ABCD is a golden rectangle!

The archive of Curriculum Support newsletters can be accessed at

http://www.curriculumsupport.education.nsw.gov.au/services/csn/index.htm

↑Back to top

Past editions of Maths links

Click on the links to access past editions of Maths links.

Term 1,

2013 (pdf

2.8MB)

Term

2,

2013

(pdf

330kB)

Term 3, 2013 (pdf 381kB) Term 4, 2013 (pdf 443kB)↑Back to top

Primary contacts

Mathematics Advisor,

Australian Curriculum

Katherin Cartwright

Ph: 9244 5459

[email protected]

Secondary contacts

Mathematics Advisor

Chris Robertson

Ph: 9266 8099

[email protected]

Mathematics Advisor,Australian Curriculum

Nagla Jebeile

Ph: 9266 8091

[email protected]

Numeracy Advisor

Mario Bugeja

Ph: 9244 5194

[email protected]↑Back to top





Learning and Leadership – Secondary Education

NSW Department of Education and Communities

Level 3, 1 Oxford Street Darlinghurst NSW 2010Locked Bag 53 Darlinghurst NSW 1300

T: (02) 9266 8099 F: (02) 9266 8918E: [email protected]


Maths Links

Documents

Transcript of Maths Links