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Instructional Technology for Geometry
COURSE SYLLABUS: MTE 535—3 graduate credits
Prerequisites: Knowledge of Geometry content and an undergraduate degree with some background
knowledge in the pedagogy and teaching of mathematics.
Instructor Contact Information:
Mike Hall
[email protected]
Emails will typically be answered within 48 hours during weekdays and 72 hours during weekends.
General Description: The primary goal of this class is for the student to acquire the techniques and skills
necessary to teach Geometry effectively with the use of technology at the secondary level. This course
will focus on the investigation of mathematical pedagogy, best practices for instruction with technology
and instructional technology to teach Geometry and to refresh content knowledge in ways that conform
to the National Council of Teachers of Mathematics (NCTM) standards for instruction and the
International Society for Technology in Education (ISTE®- http://www.iste.org/standards/istestandards/standards-for-teachers) standards. Students will examine strategies and skills to engage
secondary level mathematics students creatively through the proper use of technology in the classroom
specific to content in Geometry.
Objectives: This course is intended to provide appropriate training for the Geometry teacher by
providing opportunities to:
*
understand the core concepts of integrating technology into the Geometry classroom with
appropriate content knowledge. Each content area will be examined through exploration of
problems as they relate to teaching and learning strategies for the specific topics;
*
develop an understanding of the role of technology in investigative experiences in each content
area, which lead to the discovery of key mathematical relationships;
*
gain an historical perspective on the development of mathematics in diverse cultures;
*
develop specific uses for appropriate technologies to develop a deeper understanding of the
methods, ideas, materials, models, and activities for teaching the different content that encourage
flexible and resourceful problem solving;
*
use the different content areas of mathematics as a source of mathematical models in the natural
world;
*
develop a strong understanding of the role of social media and social interaction as part of the
different content areas and their roles in the K–12 mathematics.
Text and Materials
The materials for this course consist of current research available in both video and print resources that
are available online.
Technology requirements: Internet access with sufficient bandwidth to stream online videos (i.e., DSL,
Cable modem, or T1/T3). Access to email account.
Moodle: Students will be given access to the course website through Moodle. The course materials will
ONLY be accessible when you log into the course website. You must have an email address and update
the site to include your active email. All questions and assignments should be emailed to the address
provided on the website. All emails MUST have the subject with the course number followed by the
student’s last name, comma and first name (for example: MTE 502 Smith, John). To protect the
professor’s computer from potential viruses, no email will be opened unless the subject is in the
correct format. It is the student’s responsibility to save all work until a final grade has been issued in
case assignments need to be resent.
Graphing Calculator: The use of a graphing calculator is required. Any graphing calculator that is
approved for use on the ACT/SAT is acceptable.
Course Requirements
This course will be offered through online delivery. Participating students may take up to nine months to
complete all requirements. There are no scheduled class sessions or meetings. There is a website that
contains course readings, three activity packets that include course projects, and a cumulative final
project. Modules must be completed sequentially: each module (activity, blog entries and project
submission) must be COMPLETE prior to beginning the next module.
Each module includes a reading component. Students are expected to use the activity packet project as a
catalyst for analysis of reading content. The project should reflect not only knowledge of the content but
demonstrate a deep understanding of how this knowledge impacts the teaching of mathematics. The
content of the reading will also be covered on the evaluation rubric and the Final Project/Exam.
Each module includes a research component. Students are expected to use educational research
resources that are provided as well as additional resources to complete each module project. This
research is fundamental to the course and the impact of the course on improving instructional
technology usage in the classroom.
Course Timeline
I. Complete each module using the following sequence.
1.
2.
3.
4.
Complete assigned readings.
Complete research requirements.
Complete the blog.
Submit Module Project (if assigned).
II. Complete Final Project/Exam – All modules must be completed prior to submitting Final
Project/Exam.
Note: The Module Projects and the Final Project/Exam are the ONLY items submitted for
grading. These must be submitted in Moodle. Email attachments will not be accepted.
Course Policies
Participants must master the material assigned for each module as demonstrated through the blogs,
activity packets, Module Projects, and the Final Project/Exam.
Participants must complete and submit the four activity project packets in Moodle.
Participants must complete the blog for each module. Blog entries are intended to be an avenue for
students to communicate with each other, as well as faculty. Students are encouraged to use this tool to
share ideas and facilitate discussion about the course topics. While students will not be graded on their
blog participation, we hope students will see the value in this component of the course and utilize it to
enrich their experience.
Participants must complete the cumulative final project/Exam and submit it online. Email attachments
will not be accepted. The grade for the course will be submitted after the Final Project/Exam is
evaluated.
Grading
Three Module Projects
Final Project/Exam
75%
25%
The following plus/minus grading scheme will be used for this course.
93 - 100
90 - 92
87 - 89
83 - 86
80 - 82
77 - 79
73 - 76
70 - 72
Below 70
A
AB+
B
BC+
C
CF
Course Topics
The topics of this course are arranged by content. While students are expected to have prior knowledge
of these specific topics, they will be embedded in the pedagogy components of each module. Websites
such as Khan Academy are an excellent resource to refresh your content knowledge.
Module #1-Technology in the Classroom
List of Topics
1. Introduction
Complete the following assignments in sequential
order.
1. Read required materials in Moodle
2. Overview of Curriculum and Topics
2. Activity #1: Understanding Best Practices for
Use of Educational Technology in the Classroom
3. Designing and Developing an Educational
Technology Plan for the Classroom
4. Introduction to Instructional Technologies
a. Interactive White Boards
b. Graphing Calculators
c. Content Videos
3. Instructional Technology Content Practices:
Moodle
4. Complete Module 1 Project
5. Facilitating Creative Learning through
Technology
NOTE: You must submit your Project for Module #1 BEFORE you can start Module #2.
Module #2-Instructional Technology Hardware
List of Topics
1. Instructional Technology Hardware
a. Interactive White Boards
b. Graphing Calculators
c. Computers
d. Handheld Devices
2. Impacting Student Learning in Geometry
a. Projects for Students
b. Learning to Create Effective Assessments
c. Demonstrating Fluency among Students
Complete the following assignments in sequential
order.
1. Read required materials in Moodle
2. Activity #2: Understanding Best Practices for
Use of Educational Technology in the Classroom
3. Instructional Technology Content Practices:
Moodle
4. Complete Module 2 Project
NOTE: You must submit your Project for Module #2 BEFORE you can start Module #3.
Module #3-Instructional Technology Software Integration
List of Topics
1. Educational Technology Software Concepts
a. Dynamic Geometry
b. Dynamic Graphing
c. Dynamic Applets
2. Using Educational Software to Explore
Geometry Concepts
Complete the following assignments in sequential
order.
1. Read required materials on Moodle
2. Activity #3: Understanding Best Practices for
Use of Educational Technology in the Classroom
3. Instructional Technology Content Practices:
Moodle
3. Introduction to Proof
a. Two-column Proofs
b. Proof by Applets
c. Using Technology to Develop Proof
4. Geometric Constructions
a. Using Technology for Constructions
b. Constructions Using Dynamic Geometry
c. Proof by Dynamic Geometry and Constructions
5. Quadrilaterals
a. Rectangles
b. Squares
c. General Forms
d. Forming Proofs with Technology
6. Proving Statements about Segments and Angles,
Lines and Angles
a. Proof and Perpendicular Lines
b. Parallel Lines and Transversals in the
Coordinate Plane
c. Proving Properties of Parallel Lines
7. Triangles, Angles and Congruence
a. Shortcut Methods for Congruence of Triangles
b. Using Congruent Triangles
c. Isosceles, Equilateral and Right Triangles
d. Coordinate Proof and Triangles
e. Perpendiculars and Bisectors of Triangles
f. Medians and Altitudes of Triangles, Midsegment
Theorem
g. Inequalities and Indirect Proof in One and Two
Triangles
8. Translations and Vectors
a. Glide Reflections and Compositions, Frieze
Patterns
b. Tessellations
c. Ratio and Proportion, Problem Solving with
Proportions and Similar Triangles
d. Similar Polygons, Similar Triangles and Proof
e. Dilations
f. Similar Right Triangles
g. Pythagorean Theorem and Its Converse
h. Special Right Triangles, Trigonometric Ratios,
Solving Right Triangles
4. Complete Module 3 Project
NOTE: You must submit your Project for Module #3 BEFORE you can start Module #4.
Module #4-Social Media and Social Interaction Processes for the Classroom
List of Topics
1. Appropriate Social Media for Schools
a. FaceBook
b. Remind
c. Instagram
d. Twitter
2. Responsibilities for Using Social Media
Complete the following assignments in sequential
order.
1. Read required materials in Moodle
2. Activity #4: Understanding Best Practices for
Use of Educational Technology in the Classroom
3. Instructional Technology Content Practices:
Moodle
3. Model Appropriate Usage of Digital Media
Final Exam: After completing each of the modules and blog entries, complete the cumulative final exam
located under the Quizzes tab in the Moodle course site.
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