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Course Description

[Revised 5/2015]

The Elementary Geometry I course is designed for teachers and parents of children ages 6-9.  Lectures present core Montessori principles for engaging the learner in the investigation, discovery and development of geometry concepts and the relationships to math concepts.  Lectures and demonstrations show specific Montessori curriculum materials for helping children build an understanding of geometry from point to solid, plus a detailed study of plane figures, the concepts of congruency, similarity and equivalency, and the basic study of area, showing the derivation of formulas through concrete material.  Common Core alignment, introductory algebra, and critical thinking strategies for solving problems will be highlighted throughout the various presentations.

[Previously]

This course gives participants a basic introduction to geometry. Topics include: *Classification of plane figures *Constructive triangles *Conversion of starts to diaphragms *Geometry commands *Fundamental concepts of solids and points *The study of lines and angles *Use of regular protractor, convex and reflex angles *The study of plane figures: classification, concepts of congruency, similarity and equivalency, tangrams, and area.

Learner Outcomes

[5/2015]

The student will be able to:

  1. Outline the scope and developmental sequence of the geometry curriculum for ages 6-9.
  2. Describe and/or demonstrate an appropriate lesson for any given objective in the Montessori geometry curriculum.
  3. Demonstrate the effective presentation and use of the Montessori geometry lesson materials.
  4. Describe the purpose of a given learning material and lesson along with specific points of emphasis.
  5. Recognize and explain the child’s readiness for a lesson and readiness to move forward in the sequence.
  6. Produce and/or identify effective geometry materials suitable to use with young children.
  7. Explain the developmental characteristics of the child age 6-9 and the essential program provisions and learning experiences necessary.
  8. Describe the essential aspects of the prepared environment for age 6-9 optimized for learning and development.
  9. Describe how to engage the child in the constructive learning process and how to instill appreciation for geometry.
  10. Demonstrate and describe the development of discipline through the careful use of precision instruments.
  11. Explain the importance of and strategies for repeated practice for the child through a variety of experiences.
  12. Define ways to sensitize children to geometric forms in the universe around them.
  13. Describe the essential habits of mind cultivated through geometry.

Prerequisites

[5/2015]

Sensorial/Practical Life

Notes

ED X 321.55C, Montessori Pre-Primary/Primary Math ED X 321.64A, Montessori Elementary Math
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