# Further Pure Mathematics with Technology (Curriculum 2005(legacy))

Further Pure Mathematics with Technology is an exciting and innovative A level unit that requires students to have access to technology for the teaching, learning and assessment.

## Why do Further Pure Mathematics with Technology (FPT)?

FPT, approved by Ofqual and first examined in June 2013, is an optional A2 Further Mathematics unit that can be studied alongside (or after) Further Pure 2 that has been developed with the full support of OCR and Texas Instruments. This module builds on and extends students' knowledge of Pure Mathematics through using technology to perform mathematical processes quickly and accurately. They will observe the effect of changing parameters displayed in different representations, which is useful for aiding generalisation. Students will engage in investigative approaches to problem solving.

## The content of FPT

Candidates are expected to know the content of C1, C2, C3, C4, FP1 and the Complex Numbers, Polar Curves, Power Series and Hyperbolic Functions Sections of FP2. Included in this module are Investigations of Curves, including curves expressed as cartesian equations, parametric equations and polar curves (moved from FP2), Functions of Complex Variables, in which students will be expected to use the complex number capabilities of CAS (Computer Algebra Systems), and Number Theory, where candidates may be expected to write their own programs to provide solutions as well as understanding a program and suggesting limitations and refinements to it.

Students are expected to have access to software for the teaching, learning and assessment that features a graph-plotter, spreadsheet, CAS and programming language. TI-Nspire has all the features required for FPT and the free Integral teaching resources include instructions how to use it along with solutions to all the exercises and practice papers. A common alternative is to use a combination of GeoGebra and Python – please see below for further details. If you have any questions about appropriate software for FPT please contact MEI's Learning Technologies Specialist.

FPT is assessed by a timed written paper that assumes that students have access to the technology. For the examination each student will need access to a computer with the software installed and no communication ability. A graphical calculator is allowed in the examination.

You may find the documents below useful:

## Software for FPT

MEI recommends the use of TI-Nspire for FPT (and the teaching and learning resources are written in this).

Guidance on using CAS is given in this document: Advice on using CAS.

Alternative software that is appropriate for FPT:

• GeoGebra and Python*
• Maple
• Casio ClassPad

*Students should use GeoGebra version 5 (5.0.198 or later). Version 5 can be downloaded from www.geogebra.org/download: selecting the "GeoGebra Classic" option. Students should not use GeoGebra 6. Students using Python will need to learn an additional process that is not performed automatically in the software: how to calculate if an integer is prime. Guidance on this is given in the document: Advice when using Python

In addition to this it is acceptable for candidates to have access to Autograph and Excel in the exam but these alone will not be sufficient. Candidates require access to a spreadsheet with full complex number capabilities which Excel does not have.

Centres must inform OCR what software candidates will have access to in the examination via a form that will be provided.

For more information about software or to discuss options contact MEI's Learning Technologies Specialist.

## CPD for Further Pure with Technology covering general CAS and programming

MEI held a free CPD day for its Further Pure with Technology (FPT) unit on November 12th 2015 at University of Warwick. For more information about this day see: FPT CPD information sheet. There was also a session about FPT at the MEI conference in 2016.

MEI would like to hold more CPD events for FPT during 2016-17. Please contact MEI's Online Resources Coordinator if you would be interested in such an event or any other form of support with FPT.

Please use the link below to navigate to more information about the following:

View upcoming MEI professional development events and live webinars

## Podcast about FPT

You may find the podcast below useful:

Tom Button, MEI's Learning Technologies Specialist, talks to Craig Barton, TES adviser for secondary maths, about the success of, and the future for, the Further Pure Mathematics with Technology project.

TES Maths Podcast Special - Tom Button Interview

## Articles about FPT

Lee, S & Button, T (2013)
Moving with the Times - A New A level Further Mathematics Unit: Further Pure Mathematics with Technology (FPT)
MSOR Connections, Higher Education Academy.

Button, T & Lee, S (2013)
Further pure mathematics with technology: A post-16 unit of study that uses technology in the teaching, learning and assessment.
Proceedings of the International Conference on Technology in Mathematics Teaching, Bari, Italy, July 2013.

An article on the development of Further Pure with Technology was published in issue 235 of the ATM magazine, Mathematics Teaching.
Further pure mathematics with technology: Developing a new A-Level mathematics unit that uses technology in the teaching, the learning, and the assessment - Tom Button

For more information please contact MEI's Learning Technologies Specialist.

Please use the link below to navigate to more information about the following:

View upcoming MEI professional development events and live webinars