(1) The document outlines topics from the first lecture in a geometry and measurement course including the syllabus, grading, Canvas, the National Council of Teachers of Mathematics (NCTM), teaching methodologies, the van Hiele levels of geometric thinking, and an introduction to geometry. (2) Students are instructed to take notes on important topics from the lecture and the professor will assess their notes. Key course documents and how to access help resources through Canvas are also reviewed. (3) The van Hiele levels are introduced as a framework for understanding students' geometric thinking at different stages from visualization through rigorous logic and proof.

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On the Index Card
(holes up)
Upper right corner:
Math 313 – (sect)
Name
Semester / year
Major / be when grown up
Year in school
Phone number (can be cell, etc.)
Email address (other than Longwood one)
Previous math courses & grade
Grade expected in this course & how
Your cell phone ring tone
Favorite shape
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2. Math 313: Lecture 1
Geometry & Measurement
Dr. Diana S. Perdue

3. PLEASE TAKE NOTES!
 Please take notes on the items you feel
are most important; you may determine
importance either because of
something I say or because of your
previous classroom experiences.
 At the end of this presentation, I will be
assessing the quality of the information
you recorded.
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4. Topics
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Course Introduction
Canvas
NCTM
Methodology
Beliefs / Affects
Van Hiele
Geometry
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5. Geometry & Measurement
 Course Syllabus
 Course Calendar
 How you will be graded
 Most Important Items for Students:
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6. Success in this class
 Voices from the past
 Question 1: “If you
had this class to do
over, what would
you do differently to
improve your grade,
your learning, or
your enjoyment of
the class?”
 Main themes?
 Question 2: “If you
were advising a
friend who was
signed up for this
class, what would
you tell him / her to
help him / her
succeed in the
class?”
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7. Canvas
 Where is it?
 Either go to the Longwood
website (www.longwood.edu)
and ________________ or go
straight to the website:
canvas.longwood.com
 How do I get in?
 Username
 Password
 Where do I go for help?
 What do I do?
 Call User Support Services at
(434) 395-4357
 Email helpdesk@longwood.edu
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8. National Council of
Teachers of Mathematics
 The NCTM organization
 The NCTM website:
________________
 History of the Standards
 Membership
 Cost
 Benefits
 Expectations for K-8
students
 Expectations for K-8
teachers
 Basis for the state
standards
 VA SOLs stands for:
________________
 VA SOL website:
________________
 Expectations for K-8
students
 Expectations for K-8
teachers
 “Well-qualified” teachers
 Praxis
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9. Methodology
 Ways to teach:
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Technology
Manipulatives
Modeling
Problem Solving
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10. The van Hiele Levels
 Characteristics of
students at each level:
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Level 0:
Level 1:
Level 2:
Level 3:
Level 4:
 Where can I go for
more info?
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11. Geometry
 Geometry means:
 “Father” of geometry:
 Major topics:
 Measurement: constructions, amount, length, area,
volume, surface area
 Shapes: lines, segments, rays, angles, polygons,
polyhedra
 Relationships: parallel & perpendicular, congruence,
similarity, definitions, Nth term
 Reasoning & proof: deductive & inductive, logic, types of
proof
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12. Sample Questions
 What does NCTM stand
for?
 What does SOL stand
for?
 What does ‘geometry’
mean?
 Who was the “Father” of
geometry?
 Name some of the
major geometric topics
for K-8 according to the
standards.
 When can I meet with
Dr. Perdue in person?
 What is the best way to
communicate w/ Dr.
Perdue?
 Where can I find Dr.
Perdue’s office hours?
 Describe the van Hiele
levels and how they can
be used to plan lessons.
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13. Let’s Get Ready to Learn!
 Stuff you’ll need
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 To do for each class /
lab
 Read the text assignment
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