Technology in Mathematics

1. Technology in Mathematics By Shannon, Penny & Tina

2. ‘Technology has become an essential tool for doing mathematics in today’s world’ (Niess, p 3).

3. What is technology? • Introduction Technology is defined as “any invention, including tools, machines, materials, techniques, and sources of power, that makes people’s work easier” (Discovery school, 2012).

4. Calculators • Computers • Laptops/netbooks • Smart boards • I-Pads/Tablets • I-phone/Pods/Smart phone • Internet Which technologies make useful tools forlearning and communicating mathematics in the 21st century?

5. ‘Technology can facilitate mathematical problem solving communication, reasoning and proof; moreover technology can provide students with opportunities to explore different representations of mathematical ideas and support them in making connections both within and outside of mathematics’. (National Council of Teachers of Mathematics, 2000) . ‘The influence of play on a child’s development is enormous’ (Booker, 2010).

6. Should students have an understanding of the mathematical concepts /strategies before use of the technology? Technology is only as good as the person who operates it.

7. VELS: Level 1 Students ‘manipulate and play with objects to develop links between their immediate environment, everyday language and mathematical activity’. With assistance, ‘students work with different types of data, such as text, numbers and images. They develop their navigation skills by responding to stimulus in multimedia resources that develop literacy and numeracyskills’.

8. A Smart-Board is made up of a computer, Smart-Board software, an interactive whiteboard and a projector. ‘Children who are shy tend to become engaged in learning when it comes to working with Smart-Boards’. Sani, 2007 http://www.topmarks.co.uk/

9. Upper Primary VELS Mathematics - Level 5 Learning focus As students work towards the achievement of Level 5 standards in Mathematics, they construct mathematical models to explore and describe the physical world. They recognise the importance of mathematics in a technological society. Students use technology such as graphic calculators, spreadsheets, dynamic geometry software and computer algebra systems for a range of mathematical purposes including numerical computation, graphing, investigation of patterns and relations for algebraic expressions, and the production of geometric drawings. http://www.youtube.com/watch?v=Z-DiNRvWGl8

10. Turning Point Clickers…… What is TurningPoint? TurningPoint is a student response system developed by Turning Technologies, Inc. The system consists of the software, a receiver, and a clicker which allow faculty to provide students with opportunities to engage more actively and openly within a course.

11. http://www.yourteacher.com/algebra-1-tutoring.php ‘…a calculator or computer is only as good as the person who operates it – or, more accurately, the understanding of the person who uses and interprets its outputs”. (Booker et al 2010) p33 The importance of teacher-training in the technology that is being used within the class/school, on the actual use of the equipment and how to successfully interpret the data. ipad/iphones

12. Middle Secondary TECHNOLOGY IS PART OF THIS WORLD AND TEACHERS ARE USING CALCULATORS AND ICT’s TO PROMOTE DEEPER AND MORE EFFECTIVE MATHEMATICAL THINKING RATHER THAN PRODUCING STUDENTS WHO CAN ONLY COPE WITH ROUTINE PROBLEMS FROM THE PAST. (Booker et al., 2010)

13. Victorian Curriculum and Assessment Authority (VCAA) link • The VCAA is an independent statutory body responsible to the Victorian Minister for Education, serving both government and non-government schools. • The mission of the VCAA is to provide high quality curriculum, assessment and reporting that enables individual lifelong learning.

14. CAS (Computer Algebra System) The corresponding mathematics courses will typically be implemented across Years 9 and 10. VELS AND TECHNOLOGY IN MATHEMATICS

15. Link

16. CASIO ClassPad 330-A THE USE OF THE CALCULATOR

17. ASSESSMENT – On Demand Testing

18. On Demand Testing link • On Demand Testing is an online resource for teachers to use when, where and how they choose. • Tests are designed to link to curriculum and standards. • Both general ability tests and topic-specific assessments are provided. • Can be administered to a single student and/or a whole class. • The On Demand testing program utilises the VCAA Assessment Online software.

19. VCAA is responsible for the National Assessment Program - Literacy and Numeracy (NAPLAN) in Victoria. • National Assessment program (NAP) In Secondary school it will be taken by year 7 and Year 9 students. ASSESSMENT – Naplan

20. ONLINE SUPPORT FOR NAPLAN TESTING

21. Maths Dimensions by Pearson Education is a VELS based maths course • It uses a text book and student CD and offers online support. MATHS DIMENSIONS 9

22. IXLis completely aligned to the Australian national curriculum and has a curriculum reporting system link. • It has unlimited maths practice problems from preschool to Year 9. TECHNOLOGY IN THE CLASSROOMIXL WEBSITE

23. Can the technology be used as a productivity, communication, research and or problem-solving and decision-making tool for learning in the subject area? • Can the technology address the diverse needs of students in learning the subject? • Can the technology provide multiple perspectives for the students to view of mathematics? • Can the technology maximize student learning? • What preparation must be provided for students working with the technology as a tool for learning? • How will assessment of students’ learning of mathematics be affected by the incorporation of the new tool? Niess, Questions to think about

24. Lower Primary • Upper Primary • Middle Secondary CAS links CAS Technology at Mathematicshttp://vels.vcaa.vic.edu.au/maths/cas.html CAS Resources http://vels.vcaa.vic.edu.au/downloads/supportmaterials/mathscas/cas_resources.pdf TECHNOLOGY AND MATHEMATICSBy Shannon Harmer, Penny Mueller and Christina Halvy

25. Booker, G., Bond, D., Sparrow. & Swan, P. (2010). Teaching Primary Mathematics (4th ed). New South Wales, Australia: Pearson. Discovery Education.(2012). Retrieved 27th March, 2012 from http://www.discoveryeducation.com/teachers/. National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics, Reston, VA: NCTM. Niess, M. (2006). Preparing Teachers to Teach Mathematics With Technology. Oregon, USA: Oregon State University. Schreiber, L. (2008). Benefits of Smart-Boards. Retrieved 29th March, 2012 from library.thinkquest.org/09jan-oracle-n.../benefitsofsmartboards.doc. Victorian Curriculum and Assessment Authority. (2009). Victorian Essential Learning Standards. State Government of Victoria. Retrieved from http://vels.vcaa.vic.edu.au/vels/level1.html. References

26. Retrieved from: CAS Technology at Mathematicshttp://vels.vcaa.vic.edu.au/maths/cas.html CAS Resources http://vels.vcaa.vic.edu.au/downloads/supportmaterials/mathscas/cas_resources.pdf Casio Class Pad http://edu.casio.com/products/classpad/cp_v302/ IXLhttp://au.ixl.com/ Maths dimensions http://www.pearsonplaces.com.au/places/secondary_places/maths_place/maths_student_lounges/maths_dimensions_9.aspx http://www.textbooksoz.com.au/pp_shop_page__id_17_product__id_3094.html Naplanhttp://www.nap.edu.au/NAPLAN/The_tests/index.html VCAA http://www.vcaa.vic.edu.au/ On Demand Testing http://www.vcaa.vic.edu.au/prep10/ondemand/index.html VELS http://vels.vcaa.vic.edu.au/

27. How would your school/home be different if there were no computers or similar technology? • Debate the issue of computers that think on their own. What are the advantages? Disadvantages? Reflection….