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Course Description

[Revised 5/2015]

The Elementary Math 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 math concepts.  Demonstrations cover the math sequence from an overview of the decimal system through exercises for memorization of math facts and the four basic operations at concept and symbolic levels, moving toward abstraction.  Manipulative materials for multiples, factors, and divisibility are presented as parallel exercises.  Fraction work includes equivalency and operations with addition, subtraction, multiplication and division through multiplication and division of fractions by fractions.  Metric measurement, introduction to the language of decimal numbers and the second and third powers of numbers are also presented. Common Core alignment, introductory algebra, and critical thinking strategies for solving problems will be highlighted throughout the various presentations.

[Previously]

This course presents the arithmetic sequence from an overview of the decimal system. Through exercises for memorization of math facts and the four basic operations at concept and symbolic levels, participants progress toward mathematics abstraction. Manipulative materials for multiples, factors, and divisibility are presented as parallel exercises. Fraction work includes equivalency through the multiplication and division of fractions by fractions. Metric measurement, introduction to the language of decimal numbers and the second and third powers of numbers are also presented. Introductory algebra is highlighted throughout the various presentations.

Learner Outcomes

[5/2015]

The student will be able to:

  1. Outline the scope and developmental sequence of the Montessori math curriculum for ages 6-9.
  2. Describe and/or demonstrate an appropriate lesson for any given objective in the Montessori math curriculum.
  3. Demonstrate the effective presentation and use of the Montessori math 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 quality math 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 optimized for learning and development.
  9. Describe how to engage the child in the learning process and how to instill appreciation for math.
  10. Describe development of inner discipline for children through an emphasis upon careful work habits.
  11. Explain the importance of repeated practice for the child through a variety of experiences.

Prerequisites

[5/2015]

Primary Math

Notes

ED X 321.55C, Montessori Pre-Primary/Primary Mathematics
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