England
Where do you live?
Learning and doing geometry
| Start | End |
|---|---|
| 03 Oct 2026 | Jun 2027 |
What you will study
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Mathematical content: triangles and quadrilaterals; shape properties (perpendicular sides, parallel sides, equal sides and angles). -
Pedagogical content: properties – organising and classifying (shape definition; discrete and inclusive classifications); Van Hiele levels of geometric reasoning; emphasising and ignoring; figural concept.
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Mathematical content: triangles and quadrilaterals; congruence and similarity: symmetry; proving. -
Pedagogical content: conjecturing and convincing (examples and non-examples; emphasising and ignoring; conventions in geometric notation).
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Mathematical content: drawing and constructing geometric figures using squared paper, ruler and compasses and paper folding; constructing geometric figures using Dynamic Geometry Software; using measures of sides and angles to justify shape properties (and understand this is different from proof). -
Pedagogical content: static and dynamic representations; soft and robust constructions.
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Mathematical content: lengths, angles, areas, volumes; Pythagoras theorem. -
Pedagogical content: Invariance and change (conventions; another and another (examples))
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Mathematical content: concrete manipulatives, diagrams, coordinates, Dynamic Geometry Software (DGS), mental imagery, verbal constructions of figures, plans and elevations, coordinates, properties (and representations) of 3D shapes, reflecting on what geometric thinking is being worked on and how we recognise it? -
Pedagogical content: representing abstract concepts (organising and classifying); learner constructed examples; conjecturing and convincing; generalising; doing and undoing; invariance and change; figural concept (Fischbein); concept image (Tall and Vinner).
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Mathematical content: reflections, rotations, translations, enlargements; tiling patterns (infinity). -
Pedagogical content: transformations (doing and undoing plus previous pedagogic ideas).
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Mathematical content: use of diagrams, both static and dynamic; angles subtended on a chord; cyclic quadrilaterals. -
Pedagogical content: circles and circle theorems (say what you see; DGS: invariance and change; convince: use of diagrams and isosceles triangles).
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Mathematical content: ratio; similarity; graphing trig functions; unit circle to generate trig values. -
Pedagogical content: trigonometry (representations; solving physical problems; context).
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Mathematical content: links to algebra (algebraic equations; trig functions and identities; Pythagorean triples). -
Pedagogical content: work linking the geometry and algebra modules.
Entry requirements
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your own level of mathematics should be at least GCSE Grade 4 (or equivalent) -
you do need to have a reasonable standard of spoken and written English -
to complete the assessment, you’ll need to work with a learner or learners who will be pleasantly challenged by secondary school-level mathematics. It is possible for friends or family members to act as your learners. You will learn most if you work with children aged 11-14.
Preparatory work
Teaching and assessment
Support from your tutor
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marking your assignments and offering detailed feedback to help you improve -
providing individual guidance, whether that’s for general study skills or specific module content -
guiding you to additional learning resources -
facilitating online discussions between your fellow students in the dedicated forums.
Assessment
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3 Tutor-marked assignments (TMAs) -
End-of-module assessment
What's included
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a week-by-week study planner -
course-specific module materials -
audio and video content -
assessment details and submission section -
online tutorial access -
access to student forums.
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geometry task booklets.
Computing requirements
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Primary device – A desktop or laptop computer with at least 8 GB of RAM and a quad-core processor (2.4 GHz minimum speed). It’s possible to access some materials on a mobile phone, tablet or Chromebook; however, they will not be suitable as your primary device. -
Peripheral device – Headphones/earphones with a built-in microphone for online tutorials. -
Operating systems – Windows 11 or the latest supported macOS. -
Internet access – Broadband or mobile connection. -
Browser – Google Chrome and Microsoft Edge are recommended; Mozilla Firefox and Safari may be suitable. -
Our OU Study app operates on supported versions of Android and iOS. -
Software – Any additional software will be provided or is generally available for free.