Making Connections in the Geometry Classroom


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"I do not teach, I relate." -- Montaigne

Course created by Kristen Savastano Peparo

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Introduction

Often times in mathematics textbooks, geometry concepts are introduced as disconnected processes with no relationship. When in fact, all geometrical concepts are built from a foundation of a few key concepts. This course seeks to explain the need for teaching geometry in a connected, holistic fashion. It also exposes connections between key, base concepts to advanced topics in geometry. When an educator is designing a geometry lesson and teaching new material, a connection is made to knowledge the students previously know. Participants of this course will have an opportunity develop lesson plans based on this principle of connection.

Course Objective

The participant will be able to understand the effectiveness of teaching geometrical concepts in a integrated, hollistic fashion, in order to promote a deep understanding in their students. Participants will be able to identify connections between advanced geometry concepts with foundations of the discipline. Participants will be able to create three lessons that connect fundamental geometrical concepts, points, lines, planes, circles, dilation, and isometric transformations to other geometrical concepts.

Unit1: Why should we connect?

Unit Objective: By the end of this unit, participants will be able to understand how teaching geometry by building on core concepts to allow their students to create new knowledge, allows for a deeper understanding. Participants will be able to identify three topics from their own curriculum to connect to a more basic topic.

Unit2: How can we connect?

Unit Objective: By the end of this unit, participants will be able to understand how fundamental geometrical topics can be connected to more complex geometrical topics. Participants will be able to identify the connection between the three topics they identified in Unit 1, relate to the foundation of geometry concepts.


Unit3: Making the Connection

Unit Objective: By the end of this unit, participants will be able to create 3 lesson plans connecting the three concepts they identified in Unit 1 to the fundamental geometry concepts they reviewed in Unit 2.