Postgraduate Module Descriptor


EFPM324: Technology in Mathematics Education: Shaping Mathematical Knowledge in the 21st Century

This module descriptor refers to the 2019/0 academic year.

Module Content

Syllabus Plan

The module will be delivered through a programme of face-to-face sessions and/or online activities including lectures and seminars, peer presentation, group work, peer discussions and support, interactive activities, and workshop-type sessions to reflect the ILOs.

Supervision of directed and independent work will be through email, moderation of discussion forums and instant messaging/chat programmes. You will use a range of online platforms to support your learning.

Whilst the module’s precise content may vary from year to year, it is envisaged that the syllabus will cover some or all of the following topics:

Introduction: Module introduction and philology; an overview of research in mathematics education with technology; an overview of available technologies; impact of technological affordances on knowledge and understanding.

Critical review of existing theories: Instrumentation theory and instrumental genesis; Affordance theory; cKc model for describing mathematical knowledge with technology;; Discussion how affordances of technology will shape learners’ understanding

Evaluations of existing software; evaluations of TouchCount (iPad), Dynamic geometry software (DGS) and Tinkerplots; Digital textbooks and web-based learning environments such as WisWeb http://www.fi.uu.nl/wisweb/en/; designing mathematical rich learning environment;

Pedagogical issues in technology; teaching approaches and interventions with technology; dragging modalities of DGS and task design; online discussion tools in mathematics; dialogic approach with technology

Reflection of practice and future perspective: use of technologies in classroom; evaluation of teaching; identifying issues of teaching with technology in future

Learning and Teaching

This table provides an overview of how your hours of study for this module are allocated:

Scheduled Learning and Teaching ActivitiesGuided independent studyPlacement / study abroad
10290

...and this table provides a more detailed breakdown of the hours allocated to various study activities:

CategoryHours of study timeDescription
Scheduled Learning and Teaching10Face-to-face four x 2.5 hours sessions including lectures, seminars and tutorials (Blended) with equivalent on-line provision for distance students (Distance)
Guided independent study20Online-based learning , e.g. undertaking pre-session reading, reading session notes, watching videos, posting notes on Hive and so on.
Guided independent study70Directed reading related to topics discussed in the module
Guided independent study20Preparing group presentations
Guided independent study20Writing blog entries
Guided independent study20Planning and implementing designed activities, analysing your own practice
Guided independent study10Evaluating existing mathematical software
Guided independent study10Field work including classroom observations and implementing teaching
Guided independent study100Preparation for assignments, further independent readings
Guided independent study20Contributions to online discussions and commenting on peer blogs.

Online Resources

This module has online resources available via ELE (the Exeter Learning Environment).

Mathematics Education Journals

Educational Studies in Mathematics:   http://www.springer.com/education+%26+language/mathematics+education/journal/10649

Journal of Mathematical Behavior: http://www.journals.elsevier.com/the-journal-of-mathematical-behavior/

Research in Mathematics Education: http://www.tandfonline.com/toc/rrme20/current#.UwTPrHkc2jM  

ZDM: http://www.springer.com/education+%26+language/mathematics+education/journal/11858  

Mathematical thinking and learning: http://www.tandfonline.com/toc/hmtl20/current

ERME proceedings: http://www.mathematik.uni-dortmund.de/~erme/index.php?slab=proceedings

Technology, Knowledge and Learning: http://link.springer.com/journal/10758

Other Learning Resources

European Society for Research in Mathematics Education: http://www.mathematik.uni-dortmund.de/~erme/

David Tall Academic homepage: http://homepages.warwick.ac.uk/staff/David.Tall/

How this Module is Assessed

In the tables below, you will see reference to 'ILO's. An ILO is an Intended Learning Outcome - see Aims and Learning Outcomes for details of the ILOs for this module.

Formative Assessment

A formative assessment is designed to give you feedback on your understanding of the module content but it will not count towards your mark for the module.

Form of assessmentSize of the assessment (eg length / duration)ILOs assessedFeedback method
Video/online presentation of critical reflections of reading & practice 10-15 minutes presentation/edited video1, 2, 4, 5, 7-12Written peer assessment and tutor feedback
Constructive comments/discussion on presentations/videos from peersNo fixed word length1-12Written peer assessment and tutor feedback

Summative Assessment

A summative assessment counts towards your mark for the module. The table below tells you what percentage of your mark will come from which type of assessment.

CourseworkWritten examsPractical exams
10000

...and this table provides further details on the summative assessments for this module.

Form of assessment% of creditSize of the assessment (eg length / duration)ILOs assessedFeedback method
Critical evaluation of learning environments with technology and how they influence on shaping students’ mathematical understanding 756000 words1, 2, 4, 5, 7-12Written summative feedback
Designing a lesson / activity plan with digital learning environments with critical annotations151000 words1, 3, 4, 6, 7-12Written summative feedback
Contributions to online discussions 10500 words equivalent 1-12Written summative feedback

Re-assessment

Re-assessment takes place when the summative assessment has not been completed by the original deadline, and the student has been allowed to refer or defer it to a later date (this only happens following certain criteria and is always subject to exam board approval). For obvious reasons, re-assessments cannot be the same as the original assessment and so these alternatives are set. In cases where the form of assessment is the same, the content will nevertheless be different.

Original form of assessmentForm of re-assessmentILOs re-assessedTimescale for re-assessment
Critical evaluation of learning environments with technology (6000 wordsCritical evaluation of learning environments with technology (6000 words)1, 2, 4, 5, 7-126 weeks
Designing a lesson / activity plan with digital learning environments with critical annotations (1000 words)Designing digital learning environments with critical annotation (1000 words)1, 3, 4, 6, 7-126 weeks
Contributions to online discussionsReflection on online discussion experience (500 words)1-126 weeks

Re-assessment notes

If students are referred/deferred with regard to their contributions to the online discussions, then they will be asked to submit written reflections on their experience of online learning in this module (max. 500 words)