Workshop for Post-Primary Mathematics

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Presentation transcript:

Workshop for Post-Primary Mathematics Workshop: Hands-on Geometry Advisor name: Martha Brady Email: marthabrady@pdst.ie

tinyurl.com/LessonStudy2019

Lesson Study Resource Bank

Project Maths Website

Geometry Learning Outcomes Recognise the importance of improving students’ geometric thinking. Consider a number of basic practices which may help students better develop their Geometric Thinking. Understand the benefits of exploring relationships in a logical way to lead students to prove deductively. Recognise the importance of modelling to develop students spatial thinking

Resources used in a Geometry Lesson

Resources to assist planning

You are now standing vertically opposite Van Hiele How do you normally teach vertically opposite angles?

Task 1 - Applying Van Hiele

Axioms, Theorems and Constructions are connected

Constructions-Exploring Relationships Paper Folding Model the construction Look at relationships and make connections

Construction Construct the perpendicular bisector of a line segment AB

Task 2: How many relationships can you see in this Diagram?

Some Relationships 2 Isosceles Triangles - Congruent (SSS) Side Side

4 small congruent triangles

Future Learning of Constructions The perpendicular bisector of a line segment is also related to the construction of root 3 and required for both the construction of the circumcentre and the centroid of a triangle.

Modelling in 3D Describe the model and how you interacted with it? What insights will students gain after working with the model? What are the advantages/disadvantages of students working with each model? How will we know when students can visualise a model in their mind's eye?

Can you make sense of this diagram? A glass Roof Lantern in the shape of a pyramid has a rectangular base CDEF and its apex is at B as shown. The vertical height of the pyramid is |AB, where A is the point of intersection of the diagonals of the base as shown in the diagram. Also |CD| = 2.5m and |CF| = 3m