Kutztown University
Kutztown, Pennsylvania
SEU 323: Methods of Teaching Secondary School Mathematics
I. Description
SEU 323: Methods of Teaching Secondary School Mathematics
3 s.h., 3 c.h.
This course focuses on the theories, methods, techniques, strategies, materials, technology, and
assessment procedures applicable to the teaching of secondary school mathematics. Students will
learn how to plan effective lessons, implement both state and national standards for mathematics,
use appropriate technology, and prepare appropriate assessment instruments. In addition to
completing written assignments, students will teach sample lessons to their peers and perform
twenty hours of observation/service in the field.
II. Course Objectives
The student will be able to:
A.
B.
C.
D.
E.
F.
G.
H.
I.
J.
plan effective daily lessons for teaching the various branches of secondary mathematics;
plan longer units for teaching secondary mathematics;
use correct mathematical terminology;
explain topics in mathematics clearly and concisely;
select intelligently and use wisely a variety of appropriate methods in the classroom, including
lecture, cooperative learning, individualized instruction, and technology;
lead the student through a logical development of mathematics so that his/her performance in
the subject is based upon understanding and not just memorization of a sequence of steps;
select appropriate forms of assessment and use the results of those assessments to inform
instruction;
think through mathematics as the student does;
inspire and motivate students to appreciate the place of mathematics in today’s world and its
beauty and usefulness as well as its limitations; and
become a lifelong learner.
III. Rationale
The ability to teach mathematics effectively has becoming increasingly more important in recent
years; the need for students who understand and can “do” mathematics has never been greater.
Among other things, the study of mathematics helps students learn how to solve problems, think
abstractly, construct logical arguments, identify patterns, attend to precision, and recognize
structure. With the reauthorization of the Elementary and Secondary Education Act in 2001
(popularly known as No Child Left Behind) and the requirement for “highly-qualified” teachers, it
is imperative that our pre-service teachers be proficient in the theories and methods of teaching
mathematics.
IV. Assessment
Assessment of each student’s level of accomplishment with reference to the course objectives will
be based upon a subset of the following:
A.
B.
C.
D.
E.
Written assignments, largely based on readings from the assigned texts
Lessons taught to the rest of the class
An interactive bulletin board
Reviews of articles from professional journals in the field
A research paper on an appropriate, related topic of the student’s choosing, chosen with the
advice and consent of the instructor
F. Field observations/service
G. Technology projects
H. Exams
V. Course Outline
A. Lesson & Unit Plans
1. Textbook model
2. KU Secondary Education model
3. Other models
4. Spiraling content
5. Interdisciplinary planning
6. Long-range planning
7. Differentiated instruction
8. Cooperative learning
B. Performance Objectives
1. Using action verbs
2. Applying Bloom’s Taxonomy
C. Motivation
1. Extrinsic versus intrinsic motivation
2. Motivational techniques
D. Classroom Questioning
E. Literacy in the Mathematics Classroom
1. Language acquisition
2. Comprehension
3. Semantic mapping
4. Guided reading
5. Writing
F. Assessment
1. Formative versus summative
2. Using data to inform instruction
3. Rubrics
4. Performance assessment tasks
5. Tests and quizzes
6. Student portfolios
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H. Technology in the mathematics classroom
1. Calculators and TI-Connect
2. Microsoft Office
3. Equation Editor
4. Geometer’s Sketchpad
5. SmartBoard
6. Geogebra
I. Homework
1. Purpose
2. Assigning
3. Checking and assessing
J. The mathematics curriculum
K. Standards
1. National Council of Teachers of Mathematics Principles and Standards
2. PA Standards for Mathematics
3. Common Core Standards
L. Manipulatives
1. Commercial manipulatives
2. Teacher-made manipulatives
2. Virtual manipulatives
M. Interactive bulletin boards
VI. Instructional Resources
BOOKS
Airasian, P.W. (1996). Assessment in the classroom. New York: McGraw-Hill.
Ameis, G.A., & Ebenezer, J. V. (2006). Mathematics on the Internet: A resource for K-12
teachers (3rd Ed.). Upper Saddle River, NJ: Prentice Hall.
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Communications, Inc.
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approach (3rd Ed.). Upper Saddle River, NJ: Prentice Hall.
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develop a professional portfolio. Boston: Allyn and Bacon.
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Saddle River, NJ: Merrill
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Cooney, T.J., Davis, E.J. & Henderson, K.B. (1975). Dynamics of teaching secondary school
mathematics. Prospect Heights, IL: Waveland Press.
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National Council of Teachers of Mathematics.
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activities for grades 6-12 (2nd ed.). Upper Saddle River, NJ: Prentice Hall.
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Grades 6-12. San Francisco, CA: Jossey-Bass.
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Standards with hands-on activities, grades 6-8. San Francisco, CA: Jossey-Bass.
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VA: National Council of Teachers of Mathematics.
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mathematics. Reston, VA: National Council of Teachers of Mathematics.
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mathematics. Reston, VA: National Council of Teachers of Mathematics.
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mathematics. Reston, VA: National Council of Teachers of Mathematics.
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activities, volumes one & two. New York, NY: Springer-Verlag.
Perrone, V. (2000). Lessons for new teachers. Boston: McGraw-Hill.
Posamentier, A.S., Smith, B .S., & Stepelman, J. (2006). Teaching secondary mathematics (7th
ed.). Upper Saddle River, NJ: Merrill.
Posner, G.J. (2000). Field experience: A guide to reflective teaching. New York: Longman.
Pryor, C.R. (2000). Democratic practice workbook: Activities for the field experience. Boston:
McGraw-Hill.
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Roe, E.P., & Ross, B.D. (2001). Student teaching and field experiences handbook (5th ed.).
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River, NJ: Merrill.
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school mathematics: 21 techniques for differentiating instruction and assessment (styles &
strategies). Thousand oaks, CA: Thoughtful Education Press (Crowin).
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Designing and adapting instruction to meet the needs of diverse learners (2nd ed.). Upper Saddle
River, NJ: Prentice Hall.
Usiskin, Z., Peressini, A., Marchisotto, E.A., & Stanley, D. (2003). Mathematics for high school
teachers: An advanced perspective. Upper Saddle River, NJ: Prentice Hall.
Van de Walle, J., Karp, K.S., & Bay-Williams, J.M. (2012). Elementary and middle school
mathematics: Teaching developmentally (8th ed). Upper Saddle River, NJ: Pearson.
Van de Walle, J., & Lovin, L.A.H. (2006). Teaching student-centered mathematics: Grades 5-8.
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WV: Center for Guided Design, West Virginia University.
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Wiseman, D.L., Cooner, D.D., & Knight, S.L. (2005). Becoming a teacher in a field-based
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JOURNALS
Educational Studies in Mathematics. Netherlands: Springer.
For the Learning of mathematics. Alberta, Canada: University of Alberta.
International Journal for Studies in Mathematics Education. Brazil: Uniban.
International Journal of Science and Mathematics Education. Netherlands: Springer.
Investigations in Mathematics Learning. Las Vegas, NV: Research Council on Learning
Mathematics.
Journal for Research in Mathematics Education. Reston, VA; National Council of Teachers of
Mathematics.
Journal of Mathematical Behavior. Walthan, MA: Elsevier.
Journal of Mathematics Teacher Education. Netherlands: Springer.
Mathematics Education Research Journal. Netherlands: Springer.
Mathematics Teacher. Reston, VA; National Council of Teachers of Mathematics.
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Mathematics Teaching in the Middle School. Reston, VA; National Council of Teachers of
Mathematics.
Philosophy of Mathematics Education Journal. Exeter, UK: University of Exeter
The Mathematics Educator. Athens, GA: University of Georgia.
The Mathematics Enthusiast. Charlotte, NC: Information Age Publishing.
PCTM Magazine. Shippensburg, PA: Pennsylvania Council of Teachers of Mathematics.
WEB SITES
Coolmath: http://www.coolmath.com/
Eastern Pennsylvania Council of Teachers of Mathematics:
http://www.kutztown.edu/orgs/EPCTM/
Geogebra: http://www.geogebra.org/cms
Geometer’s Sketchpad: http://www.dynamicgeometry.com
Hotchalk Lesson Plans Page: http://www.lessonplanspage.com/math-htm
Interactivate: http://www.shodor.org/interactivate
Lessonopoloy: http://www.lessonopoly.org
Math Cats: http://www.mathcats.com
National Council of Teachers of Mathematics: http://www.nctm.org
National Library of Virtual Manipulatives: http://nlvm.usu.edu
Pennsylvania Council of Teachers of Mathematics: http://www.pctm.org/index.html
Pennsylvania Department of Education: http://www.pde.state.pa.us
Pennsylvania Standards Aligned System: http://www.pdesas.org/Standard/Views
Purplemath: http://www.purplemath.com
SMART Technologies: http://smarttech.com/us/Solutions/Education+Solutions/STEM
TaskStream: https://www.taskstream.com
Texas Instruments: http://education.ti.com
The Math Forum: http://mathforum.org
The Math Worksheet Site: http://themathworksheetsite.com
ThinkQuest: http://www.thinkquest.org/en
2012
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