Math for K-8 Teachers: Space and Shape

Explore problem solving using two-dimensional and three-dimensional shapes. Identify strategies for teaching accurate measurement, estimation of measurement, and real-world problem solving.
(24 credit hours)

Course Prerequisites

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Course Objectives
In this course the participant will learn the following.
  • Demonstrate an understanding of the issues that make it critical that quality instruction be provided in geometry.
  • Demonstrate understanding of the van Hiele levels of geometric development.
  • Describe activities that fit the levels of geometric development including the following topic strands.
    • Shape and properties (includes classifying and sorting),
    • Transformation,
    • Location (includes direction), and
    • Visualization.
  • Describe the real world with geometric ideas (geometric thinking, spatial relationships, and vocabulary) and solve real world problems using geometry (geometric modeling).
  • Identify the stages children go through in developing measurement concepts (includes comparing, ordering, personal referents, non-standard units of measure, and standard units of measure).
  • Discuss why a student must have direct experiences in developing measurement concepts.
  • Discuss the appropriate roles for estimation and tools in measurement.
  • Explain how one may reduce the error of measurement.
  • Identify activities that support each of the stages of development of length, capacity, mass, and weight (activities include estimation).
  • Identify diagnostic activities to determine a child’s stage of development.
  • Identify activities in which children learn to use appropriate measurement tools (units, rulers, grids).
  • List units and sub-units (conventional and S.I.) for measuring length, capacity, mass, and weight.
  • Identify activities that support each of the stages of development of area and volume (activities include estimation).
  • Identify diagnostic activities to determine a child’s stage of development.
  • Identify activities in which children learn to use appropriate measurement tools (units, rulers, grids).
  • List units and sub-units (conventional and S.I.) for measuring area and volume.

Continuing Education Units / Inservice Points

The number of credit hours listed for this course corresponds to the approximate time it takes a participant to complete the course. This information provides guidance to professional development agencies for the purpose of determining course credit.

Continuing Education Units (CEUs) or inservice points are typically awarded by the sponsoring school district. Participants should verify acceptance of online course credit with their local districts' professional development administrators.

Upon fulfillment of all requirements, your Beacon Educator transcript will reflect completion of this course. The transcript and syllabus may be printed and given to the appropriate district contact.

Click this link for additional information about BeaconEducator Course Credit.

Documentation Methods

In order to complete this course, participants must submit the following documentation. These exercises, accessible through the Course Log, must meet the established criteria. Reflection/Dialogue Exercises (4) – Participants reflect on course content, strategy implementation, and their personal learning experiences.
 


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