International study at the University of Brighton

Mathematical Technologies

Level: 5
Credit rating: 10
Module type: Taught
Semester offered: 1
Pre-requisites: None
Aims:

The aims for this module are set into the context of the QAA Framework for Higher Education Qualifications and they relate to the SEEC level descriptors for level 5 study.

The module is focused on the learning of mathematics through ICT.  There will therefore be opportunities for students: to learn mathematics; to relate ICT to the mathematical topics; to manage and evaluate ICT use; and to focus on issues in effective learning of mathematics.  An audit of students’ ICT capabilities will be conducted.

Learning outcomes:

In relation to the SEEC level descriptors for level 5 study, by the end of the module students should be able to:

  1. demonstrate an understanding of and competence in the use of a relevant ICT tool;
  2. demonstrate the ability to explore mathematics and solve mathematical problems effectively using an ICT tool;
  3. demonstrate the ability to analyse and reflect on the use of ICT tools to support learning mathematics;
  4. demonstrate the ability to effectively communicate mathematical concepts and processes.
Content:

The development of new aspects of ICT is rapid.  The content should therefore not be taken as prescriptive or definitive but as new technologies emerge, although it is likely to include:

The exploration of mathematics through hardware/software such as:
Graphical Calculators, Logo, GSP, Geogebra, Autograph, Excel, Wolfram Alpha, Handheld Voting Devices, Google earth

Consideration of issues in the learning of mathematics through ICT: the nature of mathematics; explanation, demonstration, argument and proof in mathematics; provisionality and evaluation of information; appropriateness of ICT models of mathematical ideas; appropriateness, value and limitations of ICT in mathematical learning; ICT skills and competences; mathematical thinking; modelling; problem solving strategies.

Learning and teaching strategies:

Contact time:

A mixture of workshops, both tutor and student led.  Tutor-led sessions will be used to introduce students to the ideas, tools, skills and syntax used with regard to various types of ICT.  Tutors will also stimulate the discussion of issues surrounding the use of ICT for mathematical learning. Students will also receive support materials to help them work at their own pace where appropriate.  Workshops will involve the students in exploring a range of problems/situations in mathematics.  They will also provide the opportunity for students to share ideas and to identify and discuss mathematical issues that arise.

Non-contact time:

Students will independently explore situations and solve problems using different types of ICT tools, to follow up references, to explore emerging technologies and to apply and reflect on ideas and skills they have encountered.  During this module students will also be encouraged to work in small groups which will provide a mutually helpful and supportive community. 

Learning support:

Books/Articles:

Becta  (2008b) Secondary Mathematics with ICT: A pupil‘s entitlement at Key Stages 3 and 4  Coventry: Becta

Edwards, J. A., Wright, D. (Eds.).  (2005)  Integrating ICT into the mathematics curriculum: 21 years of micromath  Derby: ATM

Harvey, B.   (1985)  Computer Science  Logo Style Vol. 1  Boston: MIT Press

Noss, R. et al  (1985)  Microworlds, Adventures with Logo  London: Hutchinson

Oldknow, A. and Taylor, R.  (2004)  Teaching Mathematics with ICT  Trowbridge. Cromwell Press

Papert, S.  (1980)  Mindstorms  Brighton: Harvester Press

Schumann, H. & Green, D.  (1994)  Discovering Geometry with a Computer  Bromley: Chartwell-Bratt

Sutherland, R. and Healy, L.  (1991)  Exploring Maths with spreadsheets  Oxford: Blackwell

Tanner, R. ( 2009) ‘Hard to teach topics : using ICT Part 1’ in Mathematics Teaching, May2009 (214) 30-32 

Reports:

NCETM Mathematics and Digital Technologies report Available from http://goo.gl/s2npC

21st Century Teacher: Mathematics Available from http://goo.gl/uismu

Journals:

Articles from Micromaths, Computer Teacher, Logo Exchange

Electronic Sources:  (Accessed July 2011)

Adrian Oldknow www.adrianoldknow.org.uk

Association of Teachers of Mathematics www.atm.org.uk

Texas Instruments: Education www.education.ti.com

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