Information and Policies
Introduction
The Mathematics Education Bachelor’s of Arts (B.A.) is specially designed for prepare students for a career in K-12 mathematics education. It shares a rigorous approach to advanced mathematics, but requires coursework that is particularly relevant to the K-12 classroom: number theory, classical geometry, and the history of mathematics. In addition, the math education major requires experience in supervised teaching. Many math education majors also participate in CalTeach, to enhance their experience and directly connect with local schools.
In California, students seeking a single-subject credential for secondary teaching in mathematics are required to take the CSET (formerly The National Teachers Examination), a series of examinations that must be passed in order to enter a teaching-credential program. Students who are interested in teaching in high schools can obtain a waiver of the CSET Examinations by completing the mathematics education major, plus three additional specified courses. The Mathematics Department undergraduate advisor, the Mathematics Department’s website, and the Education Department advising office have more information about the additional required course.
Program Learning Outcomes
Mathematics Undergraduate Student Learning Objectives
The mathematics program promotes mathematical skills and knowledge for their intrinsic beauty, effectiveness in developing proficiency in analytical reasoning, and utility in modeling and solving real-world problems. To responsibly live within and participate in the transformation of a rapidly changing, complex, and interdependent society, toward a sustainable and socially just society, students must develop and unceasingly exercise their analytical abilities. Students who have learned to logically question assertions, recognize patterns, and can distinguish the essential from the irrelevant aspects of problems can think deeply and precisely. Students equipped with these skills will be in a position to help solve the “big” problems of our time such as climate change.
Students majoring in mathematics attain proficiency in:
Critical thinking. The ability to identify, reflect upon, evaluate, integrate, and apply different types of information and knowledge to form independent judgments including analytical and logical thinking and the habit of drawing conclusions based on quantitative information.
Problem solving. The ability to assess and interpret complex situations, choose among several potentially appropriate mathematical methods of solution, persist in the face of difficulty, and present full and cogent solutions that include appropriate justification for their reasoning.
Effective communication. The ability to communicate and interact effectively with different audiences, collaborate intellectually and creatively in diverse contexts, and appreciate ambiguity and nuance, while emphasizing the importance of clarity and precision in communication and reasoning.
Students acquire and enhance these abilities in mathematical contexts, but the acquired habits of rigorous thought and creative problem solving are invaluable in all aspects of life. These skills are acquired through experience in the context of studying specific mathematical topics and exploring problems chosen to challenge students’ abilities, spurring them on to acquire new techniques and to abandon familiar but restrictive habits of thought. The overarching objectives can be realized in terms of more focused, appraisable objectives specific to mathematics described on the Mathematics Department website.
Curriculum Matrix
All of the key objectives are addressed to some extent in all courses. For example, the ability to formulate precise mathematical statements and to reason logically are essential skills that are progressively developed throughout the curriculum. However, some skills are more heavily emphasized and utilized in some courses than in others. Some courses are specifically intended to help students move to a new level of proficiency with a particular portfolio of skills, while others are accessible only to students who have already reached a given level; the latter courses make heavy use of particular skills, and thus enhance and reinforce the student’s mastery of them, but the skills themselves are not the primary focus of such courses. Some connections between the key objectives, main subject-specific areas, and courses are indicated in the tables of lower- and upper-division mathematics courses at the Mathematics Department’s website.
Academic Advising for the Program
The undergraduate advisor may be contacted via email at mathadvising@ucsc.edu. The advisor provides information about requirements, prerequisites, policies and procedures, learning support, scholarships, and special opportunities for undergraduate research. In addition, the advisor assists with the drafting of study plans, as well as certifying degrees and minors. Students are urged to stay informed and involved with their major, as well as to seek advice should problems arise.
The Mathematics Department website is a critical resource for students. Here you will find a link to the undergraduate program; the materials at that link constitute the undergraduate handbook. Students should visit this first to seek answers to their questions, because it hosts a wealth of information. Each student in the major is encouraged to regularly review the materials posted to stay current with requirements, course curriculum, and departmental policy. Transfer students should consult the Transfer Information and Policy section.
Getting Started in the Major: Frosh
This major is highly course intensive; students who intend to pursue this major must begin taking classes for the major in their first quarter at the University of California, Santa Cruz. Math placement is required for one or more of the foundational courses for this major. For more information, please review the Math Placement website.
It should be emphasized that the nature of mathematics changes dramatically between lower-division and upper-division courses. Students often find that the material becomes far more abstract and theoretical. In addition, the role of computation in assignments diminishes and a greater weight is placed on deductive reasoning and the integral role of mathematical proofs. The Mathematics Department recommends that students interested in a mathematics major enroll in MATH 100 as early as prerequisites allow in order to decide whether they are interested in upper-division mathematics courses.
Transfer Information and Policy
Transfer Admission Screening Policy
The following courses or their equivalents are required prior to transfer, by the end of the spring term for students planning to enter in the fall.
| MATH 19A | Calculus for Science, Engineering, and Mathematics | 5 |
| MATH 19B | Calculus for Science, Engineering, and Mathematics | 5 |
| MATH 21 | Linear Algebra | 5 |
| MATH 23A | Vector Calculus | 5 |
Students planning to transfer to UC Santa Cruz from a California community college should reference the assist website to determine which courses are equivalent to these required courses.
Recommended Course for Transfer Students
In addition, the following course is recommended prior to transfer to ensure timely graduation.
Prospective students are encouraged to prioritize recommended major preparation, and may additionally complete courses that articulate to UC Santa Cruz general education requirements as time allows.
Getting Started in the Major: Transfer Students
While enrolled in or after finishing the final required qualification courses, a student should follow the directions to apply to declare the major on the Mathematics Department Major Declaration webpage.
To obtain equivalency for MATH 23A, transfer students will have taken a course that may also be equivalent to MATH 23B. Students are encouraged to contact the undergraduate advisor to determine if this applies to their situation.
Major Qualification Policy and Declaration Process
Major Qualification
Admission to the mathematics education major is contingent on students successfully passing the following introductory courses or their equivalents (see below). Transfer Students: see Transfer Admission Screening Requirements.
Choose one of the following courses:
| MATH 19A | Calculus for Science, Engineering, and Mathematics | 5 |
| MATH 20A | Honors Calculus | 5 |
Plus one of the following courses:
| MATH 19B | Calculus for Science, Engineering, and Mathematics | 5 |
| MATH 20B | Honors Calculus | 5 |
Plus all of the following courses:
It is strongly recommended that only students who earn grades of B- or better in MATH 100 consider applying to the major in mathematics.
Students may only declare once they have passed all introductory courses or their equivalent courses with a grade of C or better. Students who receive two grades of NP, C-, D+, D, D-, or F in the introductory courses are not eligible to declare in the major.
Appeal Process
If a student completes major qualification courses but does not meet the major qualification criteria, and appeals, the department may accept or reject the appeal or place conditions on the student that will be resolved within at most one more enrolled quarter. To submit an appeal see the department website for Appealing the Major.
How to Declare a Major
See the Mathematics Department website for directions on How to Qualify for and Petition to Declare a Math Major.
Students should submit a petition to declare as soon as they complete the major qualification requirements or reach their declaration deadline quarter (whichever comes first).
Students petitioning when the campus declaration deadline is imminent (i.e., in their sixth quarter, for students admitted as frosh), will either be approved, denied, or provided with conditions (e.g., completion of some courses with certain grades) that will be resolved within at most one more enrolled quarter, even if they have not completed major qualification courses.
Letter Grade Policy
There are no restrictions on grading options for Mathematics Department courses. Please see UC Santa Cruz policies on grading options.
Course Substitution Policy
The Mathematics Department’s undergraduate vice chair approves requests for course substitutions. See the department website for details on requesting an exception to policy or course substitution.
Honors
Honors in the Mathematics Department are awarded to graduating students whose academic performance in the major demonstrates excellence at a GPA of 3.5 or above. Highest Honors are determined by a cumulative review of student performance in mathematics courses. They are awarded to students who excel in challenging courses and in their capstone projects.
Requirements and Planners
The Mathematics Education B.A. is intended to introduce students to the mathematics necessary for a career teaching kindergarten through high school (K-12) mathematics.
Course Requirements
Lower-Division Courses
One of the following courses:
| MATH 19A | Calculus for Science, Engineering, and Mathematics | 5 |
| MATH 20A | Honors Calculus | 5 |
Plus one of the following courses:
| MATH 19B | Calculus for Science, Engineering, and Mathematics | 5 |
| MATH 20B | Honors Calculus | 5 |
Plus all of the following courses:
Upper-Division Courses
All of the following courses:
| MATH 100 | Introduction to Proof and Problem Solving | 5 |
| MATH 110 | Introduction to Number Theory | 5 |
| MATH 128A | Classical Geometry: Euclidean and Non-Euclidean | 5 |
| MATH 181 | History of Mathematics | 5 |
| STAT 131 | Introduction to Probability Theory | 5 |
Plus one of the following courses:
Plus one of the following courses:
Plus all the following courses:
Plus one of the following courses:
UC Santa Cruz students can pursue a degree in mathematics while preparing to teach at the secondary level. In California, students seeking a single-subject credential (for secondary teaching) in mathematics are required to take the CSET, a series of examinations that must be passed in order to enter a teaching-credential program (formerly The National Teachers Examination). Students who complete the mathematics education major, plus three additional specified courses, qualify for the California Single Subject Program, exempting themselves from the CSET. Both the Mathematics Department undergraduate advisor, the Mathematics Department’s website and the Education Department advising office have more information about the additional required courses for the Subject Matter Program.
Disciplinary Communication (DC) Requirement
Students of every major must satisfy that major’s upper-division Disciplinary Communication (DC) requirement. The DC requirement in the Mathematics Education B.A. is satisfied by:
| MATH 100 | Introduction to Proof and Problem Solving | 5 |
Plus one of the following courses:
Comprehensive Requirement
The comprehensive exit requirement in mathematics is satisfied by one of the following courses:
Planners
The tables below are for informational purposes and do not reflect all university, general education, and credit requirements. See Undergraduate Graduation Requirements for more information.
Mathematics Education B.A.: Sample Freshmen Academic Plan Starting in MATH 19A or MATH 20A
| |
Fall |
Winter |
Spring |
1st
(frosh) |
MATH 19A
or MATH 20A |
MATH 19B
or MATH 20B |
STAT 5 |
| |
|
MATH 23A |
| |
|
|
2nd
(soph) |
MATH 21 |
MATH 100 |
MATH 128A |
| MATH 23B |
|
|
| |
|
|
| 3rd (jr) |
MATH 110 |
MATH 181 |
MATH 111T |
| EDUC 50B |
EDUC 100B |
|
| |
|
|
| 4th (sr) |
STAT 131 |
MATH 103A
or MATH 105A |
MATH 194 |
| |
|
|
| |
|
|
The MF, PR, SR and TA general education requirements are satisfied through this sample plan.
Mathematics Education B.A.: Sample Freshmen Academic Plan Starting in MATH 3
| |
Fall |
Winter |
Spring |
1st
(frosh) |
MATH 3 |
MATH 19A |
STAT 5 |
| |
|
MATH 19B |
| |
|
|
2nd
(soph) |
MATH 21 |
MATH 23B |
MATH 128A |
| MATH 23A |
MATH 100 |
|
| |
|
|
| 3rd (jr) |
MATH 110 |
MATH 181 |
MATH 111T |
| EDUC 50B |
EDUC 100B |
|
| |
|
|
| 4th (sr) |
STAT 131 |
MATH 103A
or MATH 105A |
MATH 194 |
| |
|
|
| |
|
|
The MF, PR, SR and TA general education requirements are satisfied through this sample plan.
Mathematics Education B.A.: Sample Freshmen Academic Plan Starting in MATH 2
| |
Fall |
Winter |
Spring |
1st
(frosh) |
MATH 2 |
MATH 3 |
MATH 19A |
| |
|
STAT 5 |
| |
|
|
2nd
(soph) |
MATH 19B |
MATH 21 |
MATH 23B |
| |
MATH 23A |
MATH 100 |
| |
|
|
| 3rd (jr) |
MATH 110 |
MATH 181 |
MATH 111T |
| EDUC 50B |
EDUC 100B |
MATH 128A |
| |
|
|
| 4th (sr) |
STAT 131 |
MATH 103A
or MATH 105A |
MATH 194 |
| |
|
|
| |
|
|
The MF, PR, SR and TA general education requirements are satisfied through this sample plan.
Mathematics Education B.A.: Sample Transfer Academic Plan
For students who have completed MATH 19A, MATH 19B, MATH 21 and MATH 23A equivalents.
| |
Fall |
Winter |
Spring |
| 1st (jr) |
MATH 23B |
MATH 103A
or MATH 105A |
MATH 128A |
| MATH 100 |
MATH 181 |
STAT 5 |
| |
|
|
| 2nd (sr) |
MATH 110 |
STAT 131 |
MATH 194 |
| EDUC 50B |
EDUC 100B |
MATH 111T |
| |
|
|