Click here to download: Mathematics Education Advising Packet (Opens as MS Word document)
Mathematics Education Advising Packet
SJSU
Single Subject Teaching Credential – Mathematics
2
Overview of Requirements 2
Getting
Information and Advice
2
Mathematics
Subject Matter Competency
2
Mathematical
Content Requirements
3
Alternative
Program
3
Grade
Point Average (GPA) Requirements 4
Pre-Professional
Experience 4
Screening
Interview
4
Starting
the Credential Program 5
Supplementary
Authorization to
Teach Mathematics
6
SJSU
Mathematics Subject Matter Course Descriptions
7
SJSU
Single Subject Teaching Credential – Mathematics
Overview
of Requirements
The
single subject teaching credential in mathematics involves two major components.
·
Demonstrating
subject matter competency in mathematics. This packet describes requirements for
demonstrating subject-matter competency in mathematics.
·
Completing
30 hours of credential coursework in education and mathematics methods (see
Application and Information Packet for the
Single Subject Credential Program available in Sweeney Hall 301).
Your
first step in ascertaining whether you satisfy subject matter competency is to
see an advisor; bring photocopies of all your transcripts. Your advisor will do the first level background screening and
recommend additional courses that it may be necessary for you to take.
Your advisor will complete a checklist of course equivalencies and give
you a copy of it.
Students
seeking the single subject credential in mathematics are each assigned one of
the following Mathematics Education advisors based on the last two digits of
your social security number. All
can be reached via email at: lastname@math.sjsu.edu
Advisor Name Office Phone Last 2 digits SS#
Dr.
Joanne Rossi Becker
MH 318B
924-5112
00-06
Dr.
Trisha Bergthold
MH 318B
924-5438
07-14
Dr.
Natasa Bozovic
MH 318A
924-5086
15-21
Dr.
Leslie Foster
MH 312
924-5123
22-29
Dr.
Brad Jackson
MH 316
924-5129
30-37
Dr.
Barbara Pence
MH 419
924-5142
38-44
Dr.
Richard Pfiefer
MH 316
924-5144
45-52
Dr.
Ferdinand Rivera
DH 339
924-5170
53-59
Dr.
Cheryl Roddick
MH 313
924-5074
60-67
Dr.
Mohammad Saleem
MH
313
924-5141
68-75
Dr.
Edward Schmeichel
MH 310
924-5148
76-83
Dr.
Julie Sliva
MH 315
924-5120
84-91
Dr.
Linda Valdes
MH 417
924-5131
92-99
Mathematics
Subject Matter Competency
Subject
matter competency in mathematics is required to be fully admitted to the single
subject credential program in mathematics. Subject matter competency can be
demonstrated by completing a specified set of SJSU or equivalent courses, or
through an alternative route by completing a reduced set of SJSU or equivalent
courses and passing the CSET mathematics exams. Both routes require, in addition, minimum GPA requirements,
completion of 30 hours of pre-professional experience, and a screening interview
with the Mathematics Education Committee in the Mathematics Department.
Subject
Matter Preparation Program
San
Jose State University’s state-approved mathematics subject matter preparation
program consists of 16 courses totaling 49-52 semester units (about 73-78
quarter units), depending on course choices.
SJSU course numbers and descriptions are given below (see pgs 7-8).
Credential candidates can satisfy the mathematical content requirements for
subject matter competency in mathematics by completing either the SJSU
coursework outlined below or equivalent coursework taken elsewhere.
The Mathematics Education Committee must approve all course
equivalencies. You may be asked to
supply course descriptions for courses taken at other colleges or universities.
Note: the mathematics subject matter preparation program below is not
necessarily equal to the requirements for a B.A. in mathematics at SJSU or
anywhere else.
Alternative
Subject Matter Preparation Program
As
an alternative to completing the mathematics subject matter program (or an
equivalent program), you may take a combination of exams and 5-6 courses
totaling 18 semester units with at least a 3.0 GPA, as outlined below.
Exams
(Passing scores are valid for 5 years from date of test)
Mathematics CSET Subtests I, II, and III [website: cset.nesinc.com]
Courses
(Must total at least 18 semester units with at least a 3.0 GPA, including 9
upper division)
|
Core
Courses |
The
following courses are required: |
Math
030 Calculus I Math
031 Calculus II |
|
One
course required from the following: |
Math
201A Mathematics for Secondary Teachers, OR Math
201B Mathematics for Secondary Teachers |
|
|
Breadth
Courses |
Two
or three courses required each from a different area (e.g. geometry,
algebra, probability, statistics, analysis) |
Possible Course Choices Math
115 Modern Geometry/Trans. Math
128A Abstract Algebra I Math
129A Linear Algebra I Math
163 Probability Theory Math
161A Applied Statistics I Math
164 Mathematical Statistics Math
104 History of Mathematics Math
131A Introduction to Analysis |
If
the examinations were completed more than 5 years ago, then recent evidence of
mathematical competence is required by retaking and passing the required exams.
·
A
minimum GPA of 2.75 for all college and university work
·
A
minimum GPA of 2.5 for all mathematics courses
·
A
minimum GPA of 2.5 for all upper division mathematics courses
The
California Commission on Teaching Credentialing (CTC) requires
“pre-professional field experience” before you can be fully admitted to the
credential program. The primary
purpose is to provide you with a recent extended experience with children in a
secondary school mathematics classroom to help you decide if you are truly
interested in pursuing a career in teaching.
This experience can be satisfied by coursework involving a field
component, or by arranging on your own to assist in a regular secondary school
mathematics classroom for at least 30 clock hours. The pre-professional
experience must be completed before beginning the credential program.
The experience should be in a public school setting.
Screening
Interview
The
final component of subject matter competency in mathematics is the screening
interview conducted with two members the Mathematics Education Committee.
The purpose of this 20-to-30-minute screening interview is to review your
coursework in mathematics, determine your status regarding requirements for
mathematics subject matter competency, create a contract regarding requirements
for demonstrating mathematics subject matter competency, and discuss your
reasons for pursuing a teaching career.
Note:
A screening interview is not an
advising/information session. If
you are not yet certain that you wish to pursue a teaching credential and you
are still in the “information-seeking” stage, then you are not yet ready for
a screening interview. Screening
interviews are reserved for credential program applicants, and usually take
place the semester before entering the credential program.
If
you have definitely decided to apply for the single subject teaching credential
program in mathematics, please prepare for the screening interview in the
following ways.
·
Make
sure you have thoroughly read both the Application
and Information Packet for the Single Subject Credential Program and this Mathematics
Education Advising Packet.
·
Meet
with a mathematics education advisor and have her/him fill out a checklist
of course equivalencies and approve you for screening.
After
scheduling a screening interview with the Mathematics Department, gather
together and bring the following materials to the interview.
q
Photocopies
of all transcripts
q
Copy
of the course checklist completed by your advisor
q
Any
material that may be helpful in determining course equivalencies, such as course
descriptions
q
Photocopies
of CSETscore reports, if you have passed these tests prior to your screening
interview
q
Photocopy
of Pre-Professional Experience Verification form, if you have completed this
prior to your screening interview
q
Application
and Information Packet for the Single Subject Teaching Credential
q
Mathematics
Education Advising Packet
After
the screening interview, you will be provided with a Subject Matter Competency
Status Report that summarizes the results of the screening interview.
The Subject Matter Competency Report serves as a contract between you and
San Jose State University concerning requirements you need to complete (if any)
to demonstrate mathematics subject matter competency, and indicates your
admission status to the single subject credential program.
The Subject Matter Competency Status Report is valid for five years and
must be turned in with your application to the single subject credential
program.
If
you are within 3 courses of completing the full subject matter preparation
program, meet the GPA requirements, and have completed the screening interview,
you will be allowed to begin work in the single subject credential program in
the College of Education. If you
pursue the reduced set of courses and the CSET examinations, you must pass all
the subtests, complete all the courses, meet the GPA requirements, and complete
the screening interview before being allowed to begin work in the single-subject
credential program.
Secondary
Education Information
For
information about the single subject credential program, contact Dr. Cathy Buell
at
Cmbuell@email.sjsu.edu
or at (408) 924-3755. The
Application and Information Packet for the Single Subject Teaching Credential
can be picked up in Sweeney Hall 301. Information
about the CSETexams is also available in Sweeney Hall 301.
Supplementary
Authorization to Teach Mathematics
Anyone
with a multiple subject credential or a single subject credential in some area
other than mathematics can pursue a program of study to obtain a supplemental
credential in mathematics. A
supplemental authorization in mathematics allows one to teach mathematics
classes in departmentalized classes through the level of Algebra I or integrated
course 1 at grades 6, 7, 8, and 9.
Requirements
·
20 semester units (or
10 upper division semester units) in mathematics meeting one of two following
conditions.
·
Courses cover the
areas of algebra, geometry, and the development of the real number system or
introduction to mathematics, OR
·
Three courses are in
calculus and remaining courses have intermediate algebra and geometry as
prerequisites.
·
All coursework must
be at a level for which intermediate algebra is a prerequisite.
·
All grades must be at
least a “C”.
The
specific coursework required is tailored to an individual’s mathematics
background. Below, we outline two
typical plans. Plan A was developed
for a person with a multiple subject credential with little prior mathematics
background beyond intermediate algebra and high school geometry.
Plan B was developed for a person with a single subject credential in
music who had taken two courses in calculus.
Persons interested in obtaining a supplemental authorization should see a
mathematics education advisor.
|
Plan
A: Multiple Subject Math
12 Number Systems
Math
101 Problem Solving Math
105 Concepts in Mathematics,
Probability and Statistics Math
106 Intuitive Geometry Math
107A Explorations in Algebra Math
107B Explorations in Geometry |
Plan
B: Single Subject Math
30 Calculus I Math
31 Calculus II Math
32 Calculus III Math
115 Modern Geometry &
Transformations Math
104 History of Mathematics Math
129A Linear Algebra Math
201A Mathematics for
Secondary Teachers |
SJSU Mathematics Subject Matter Course Descriptions
|
SJSU
Courses |
Descriptions |
|
The following courses are
required: |
|
|
q
Math
030 Calculus I |
Introduction to calculus
including limits, continuity, differentiation, applications and
introduction to integration. Graphical, algebraic and numerical methods of
solving problems. Graphing calculators or computers used. |
|
q
Math
031 Calculus II |
Definite and indefinite
integration with applications. Sequences
and series. Graphical, algebraic and numerical methods of solving
problems. Graphing calculators or computers used. |
|
q
Math
042 Discrete Mathematics |
Sets,
logic, methods of proof including mathematical induction, functions,
relations, elementary combinatorics, probability, Boolean algebras. (Prerequisite: Math 19 or
eligibility for Math 30P) |
|
q
Math
104 History of Mathematics |
Mathematical
development from earliest times to the twentieth century. (Prerequisite: upper division
algebra or geometry course) |
|
q
Math
115 Modern Geometry and Transformations |
Synthetic
and analytic theory of projective transformations, similarities, Euclidian
motions, inversive geometry and an introduction to non-Euclidean geometry.
(Prerequisite: Math 31) |
|
q
Math
128A Abstract Algebra I |
Group
theory: permutation groups, abelian groups, morphism theorems, finite
groups. Introduction to rings and fields. (Prerequisites: Math 42 and Math
129A) |
|
q
Math
129A Linear Algebra I |
Matrices,
systems of linear equations, vector geometry, matrix transformations,
determinants, eigenvectors and eigenvalues, orthogonality, diagonalization,
applications, computer exercises. Theory in Rn emphasized; general real
vector spaces and linear transformations introduced.
(Prerequisite: Math 31) |
|
q
Math
201A Mathematics for Secondary Teachers |
Secondary
school mathematics from an advanced viewpoint, plus topics from higher
mathematics. Emphasizes
inductive reasoning in problem solving. Applications useful to junior and
senior high school teachers. (Prerequisite: equivalent of
mathematics minor) |
|
q
Math
163 Probability Theory |
Probability
axioms; random variables; marginal and conditional density and
distribution functions; binomial, geometric, Poisson, gamma and normal
probability laws; mathematical expectations, moment generating functions;
limit theorems. (Prerequisite:
Math 32) |
|
One course required from the
following: |
|
|
q
Math
161A Applied Statistics I, OR |
Descriptive
and inferential statistics. Collection and analysis of data, discrete and
continuous probability models, random variables, Central Limit Theorem,
confidence intervals, hypothesis testing. Analysis of variance and
regression as time permits. (Prerequisite:
Math 31) |
|
q
Math
164 Mathematical Statistics |
Sampling
distributions, interval estimation, confidence intervals, order
statistics, sufficient statistics, the Rao-Blackwell Theorem,
completeness, uniqueness, point estimation, maximum likelihood, Bayes’
methods, testing hypotheses. (Prerequisite: Math 163) |
|
One course required from the
following: |
|
|
q
Math
201B Mathematics for Secondary Teachers, OR |
Secondary
school mathematics from an advanced viewpoint, plus topics from higher
mathematics. Emphasizes deductive reasoning in problem solving.
Applications useful to junior and senior high school teachers.
(Prerequisite: equivalent of mathematics minor. Note: Math 201A is
not a prerequisite.) |
|
q
Math
126 Theory of Numbers |
Divisibility,
prime numbers, congruences of first and higher degrees, theorems of Fermat,
Euler and Wilson. Quadratic residues.
(Prerequisites:
Math 31 and Math 42) |
SJSU Mathematics Subject Matter Course Descriptions
(continued)
|
One course required from the
following: |
|
|
q
Math
131A Introduction to Analysis, OR |
Properties
of real numbers including completeness and compactness. Continuous
functions, uniform continuity, the derivative.
(Prerequisites:
Math 32 and Math 42) |
|
q
Math
133A Ordinary Differential Equations, OR |
First
order equations, higher order linear equations, applications, Laplace
transforms, series solutions. Additional
topics. (Prerequisite:
Math 32) |
|
q
Math
032 Calculus III |
Functions
of more than one variable, partial derivatives, multiple integrals and
vector calculus. Graphical, algebraic and numerical methods of solving
problems. Graphing calculators or computers used.
(Prerequisite: Math 31) |
|
One course required from the
following: |
|
|
q
Math
128B Abstract Algebra II, OR |
Emphasis
on rings, integral domains, fields, field extensions, Galois theory. (Prerequisite: Math 128A) |
|
q
Math
129B Linear Algebra II, OR |
Continuation
of Math 129A. Abstract vector spaces and linear transformations,
diagonalization, Cayley-Hamilton theorem, minimal polynomials, Jordan
canonical form. Selected
topics from inner product and adjoint, duality, rational canonical form
and applications. (Prerequisite:
Math 42 and Math 129A) |
|
q
Math
131B Introduction to Real Variables, OR |
The
theory of the Riemann integral, sequences and series of functions, spaces
of functions. (Prerequisite:
Math 131A) |
|
q
Math
175 Introduction to Topology |
Set
theory, topological spaces and separation axioms, completeness,
compactness, connectedness, functions and continuity, product spaces.
(Prerequisite: Math 131A) |
|
Three courses (at least 9
semester units) selected from applications of mathematics, such as, but
not limited to the following: |
|
|
q
Math
143M Numerical Analysis and Scientific Computing |
Development
and comparison of important algorithms for scientific computing in terms
of efficiency, accuracy and reliability. Topics include systems of linear
equations-direct and iterative methods, least squares problems,
eigenvalues and eigenvectors, numerical stability and error analysis.
Substantial assignments using contemporary software packages and
professional subprogram libraries. (Prerequisites: Math 129A and
one of CS 50, CS 46A or CS 49) |
|
q
Math
177 Linear and Nonlinear Optimization |
Linear
inequalities, the simplex method and other algorithms, duality, integer
optimization, convex optimization, quadratic optimization, game theory. (Prerequisite: Math 129A) |
|
q
Math
178 Mathematical Modeling |
Basic
modeling techniques including graphing, proportion, curve fitting and
interpolation, optimization, probability and computer simulation,
derivatives and differences. Technology will be incorporated to model
applied problems from business/economics, physical/life/social sciences
and engineering. (Prerequisite: Math 129A) |
|
q
Physics
050 General Physics/Mechanics |
Particle
kinematics and dynamics, rotational motion, fluids, vibrations, and sound.
(Prerequisite: Math 30) |
|
q
Physics
051 General Physics/Electricity and Magnetism |
Electric
and magnetic fields, dc and ac circuits, electromagnetic waves. (Prerequisites: Phys 50 or 70
and Math 31) |
|
q
Physics
052 General Physics/Heat and Light |
Temperature,
heat, thermodynamics, kinetic theory, geometric and physical optics, and
intro to quantum physics (Prerequisites: Phys 50 or 70) |
|
q
Other: |
|
|
q
Other: |
|
|
q
Other: |
|
|
(Can substitute Physics 70, 71,
72 for the above) |
|
Click
here to download: Mathematics
Education Advising Packet (Opens as MS Word document)