Syllabus
MAE 4330- Teaching Methods in Secondary School Mathematics
Course Description: This course is designed for students who are majoring in secondary mathematics
education and is offered concurrently with the practicum in teaching secondary mathematics. This course
addresses the required instructional methods, techniques, strategies, resources, and assessment considerations
for effective teaching of secondary mathematics including the pedagogy of early algebra, geometry,
trigonometry and calculus using problems solving, cooperative learning and appropriate technology. This
course addresses specific Sunshine State Standards, subject matter competencies and pedagogy pertinent to the
discipline and required for certification.
Suggested Textbook: Teaching Secondary and Middle School Mathematics, Daniel J. Brahier, 2nd Edition,
Allyn and Bacon, 2005.
GRADING SCALE: A - 93 - 100
B - 83 - 92
C - 70 - 82
D - 60 - 69
F - Below 60
Methods of instruction : Lecture, Class discussions and/or interactions, Large and/or small group projects,
activities, discussions, etc., read and report on professional education and subject matter articles, research, and
other materials, oral presentations, clinical experiences and reflective papers, field journals, and discussions
about them, portfolios, videotaping of student teaching a lesson with feedback from instructor and students, use
of manipulatives to illustrate concepts, and concept mapping.
Course Outline:
I. WHAT DOES IT MEAN TO “DO,” “TEACH,” AND “LEARN”
MATHEMATICS?
1. Mathematics as a Process.
National and International Assessment Data.
The Need for Reform.
“Doing” Mathematics.
2. Learning Theories and Psychology in Mathematics Education.
Research in Mathematics Education.
Learning Theories in Mathematics.
Assignment 1: Library visit for instruction on how to find and use reference materials
II. THE MATHEMATICS CURRICULUM.
3. Curricular Models.
NCTM Curriculum Standards.
State Models – Florida Sunshine State Standards.
The Core Curriculum.
Traditional versus Integrated Sequences.
4. Implementing a Course of Study.
The Course of Study.
Writing Goals and Objectives
Selection and Organization of Resources.
1
III. TEACHING MATHEMATICS.
5. Planning for Instruction with the Sunshine State Standards (Focal Points)
Unit Planning.
Lesson Planning.
Lesson Imaging versus Lesson Planning.
Reflecting on a Lesson.
Test 1
6. Responsibilities of the Professional Teacher.
Teaching Standards and Guiding Principles.
Selecting Activities and Problems.
Classroom Tools.
Classroom Discourse.
Learning Environment.
Reflective Practices.
7. Teaching Specific Mathematics Content
Teaching with the SSS Standards for Number Sense, Concepts and Operations –teaching – Assignment 3
Teaching with the SSS Standards for Measurement –teaching – Assignment 4
Teaching with the SSS Standards for Algebraic Thinking –teaching - –
Assignment 5
Teaching with the SSS Standards for Geometry and Spatial Reasoning - teaching - Assignment 6
Teaching with the SSS Standards for Data Analysis and Probability –teaching – Assignment 7 (teaching a
class in MAE 4330)
IV. MEETING INDIVIDUAL STUDENT AND TEACHER NEEDS
8. Meeting the Need of All Students
Defining and Achieving Equity
General Suggestions for Meeting Diverse Student Needs.
9. The Teacher of Mathematics in the School Community
Working with Parents
The Supervision and Evaluation of Teachers
Functioning in a Department
2
A. Tasks
1. Task CC3B (FEAP 3.01, 3.09, 3.10, 3.11): Each student must show evidence of professional growth
during this course. This evidence may be acquired by (1) attending a math/science seminar, like FCTM
Conference or (2) reading articles from a professional journal in mathematics education or (3) recording
ideas from veteran teachers. Each student will submit a minimum of six presentation or article
summaries, handouts or worksheets included, and a reflection. The reflection should include your
opinion regarding (1) the feasibility of implementation (if appropriate), (2) its effectiveness, (3) whether
you plan to use it in the future, and (4) any modifications you might want to make (2X middle,
secondary) (Complete by October 23)
2. Task CC10A (FEAP 10.08. 10.16, 11.04): The file will provide a list of some community resources
such as parks, labs, industries; journals; and websites, to supplement lesson plans and provide students
with a variety of experiences (appropriate for secondary (9 – 12)). (Completed by November 4th)
3. Task 4.1_2.1 (FEAP 4.01, 4.02, 4.06, 4.07, 4.09): The teacher develops a lesson or lessons on
facilitating students' use of critical and creative thinking skills. The lesson includes objectives and a set
of questions classified according to Bloom’s Taxonomy of Cognitive Skills and must address
appropriate Sunshine State Standards. The teacher delivers the lesson and analyzes the results. The
product consists of the lesson plan(s), the analysis, the assessment instrument, and two samples of
student work (one in which the student performed as expected and one in which he/she did not).
(Complete by November 18)
4. Task CC8B (FEAP 8.02, 8.04): The candidate completes a series of performance tasks that require
specific content knowledge in the areas of algebra, geometry, measurement, data analysis and spatial
reasoning. If the student has passed the subject area exam for his/her major, then this task has been
completed. A copy of the score report should be placed in the student’s portfolio. (Complete by
December 3rd)
Grading Criteria:
Test 1 - - - 10%
SSS Lesson on Number Operations – 6%
SSS Lesson on Measurement – 6%
SSS Lesson on Algebraic Thinking – 6% - Powerpoint
SSS Lesson on Geometry and Spatial Reasoning – 6%
SSS Lesson on Data Analysis and Probability – 6%
Portfolio and Tasks– 50%*
Participation and attendance – 10%
*The task/artifact will be considered “demonstrated” when minimum score of 70% is achieved AND the
criteria established for the individual task is met. The task/artifact will be considered “partially demonstrated”
or “not demonstrated” when the score is below 70% OR the criteria established for the individual task is not
met.
Without penalty a task judged as partially demonstrated or not demonstrated may be resubmitted. The
resubmission must be made within one week, and a maximum of three tasks may be resubmitted.
No grade will be given for the course until all tasks and artifacts have been successfully demonstrated.
3
Objective
Math. as a Process
Learning Theories
and Psychology in
Mathematics Edu.
Curricular Models
Nat’l Council of
Teachers of
Math (NCTM)
Sunshine State
Standards(SSS)
Florida
Content
Competencies
Standards
and Skills-Math
and Profess-ional
Education (PE)
Florida
Educator
Accomplish
ed Practices
- FEAP
Assessment
Measures
P.E.- 7.1, 7.2,
7.4,13.1,13.2
All Standards
Implementing a
Course of Study
Planning for
Instruction
Teaching Tools and
Strategies
Teaching Specific
Mathematics
Content in Number
Sense
SSS Strand A
Teaching Specific
Mathematics
Content in
Measurement
Teaching Specific
Mathematics
Content in
Algebraic Thinking
Teaching Specific
Mathematics
Content in
Geometry and
Spatial Sense
Teaching Specific
Mathematics
Content in Data
Analysis and
Probability
Meeting the Needs
of All Students
The Teacher of
Mathematics in the
School Community
SSS Strand B
SSS Strand D
SSS Strand D
SSS Strand E
P.E.-12.1, 12.2,
12.3,12.4
P.E. – 8.2, 8.3
P.E.- 8.2, 10.1,
10.2, 10.3
P.E.- 2.1, 2.2,
2.3,2.4,9.1,9.2,9.
3– S.C.– 15.2
P.E.- 2.1, 2.2,
4.1,10.1, 10.2,
10.3 – Math - 14
10.6
8.1
CC 8 B
1.2.2,
1.3.2,
1.3.3,
1.2.2,
1.3.2,
1.3.3,
7.7,
4.1,4.2,4.3,
4.9
8.1, 4.1, 4.2,
4.4,
Task 4.4.1
P.E.- 2.1, 2.2,
4.1,10.1, 10.2,
10.3 – Math – 7,
8
P.E.- 2.1, 2.2,
4.1,10.1, 10.2,
10.3 – Math. –
5,6,
P.E.- 2.1, 2.2,
4.1,10.1, 10.2,
10.3 – Math – 7,
8
1.2.2,
1.3.2,
1.3.3,
8.1, 9.1, 9.2,
9.7, 9.9,
9.11
Assignment
4 – Task
CC8C
1.2.2,
1.3.2,
1.3.3,
8.1, 9.1, 9.2,
9.7, 9.9,
9.11
Assignment
5 – Task
CC8C
1.2.2,
1.3.2,
1.3.3,
8.1, 9.1, 9.2,
9.7, 9.9,
9.11
Assignment
6 – Task
CC8C
P.E.- 2.1, 2.2,
4.1,10.1, 10.2,
10.3 – Math –
10,11,
1.2.2,
1.3.2,
1.3.3,
8.1, 9.1, 9.2,
9.7, 9.9,
9.11
Assignment
7, Task
CC8C,
5.3
Task 5.4.2
P.E.-5.1, 5.2,
7.1, 14.1,14.2
P.E.-2.3, 2.4,
3.1, 3.2, 6.1, 6.2,
11.1, 11.2,
11.3,11.4,11.5
Assignment
3 – Task
4.1_2.1
1.12, 2.10,
3.5, 6.7
4