Teaching programs require additional courses in educational methods. The professional education courses are included in this listing. See the Department of Educational Studies and Teachers College for the descriptions of these courses and other professional requirements of the teacher education program.

**Teaching Major in Mathematics: Option 1; 47-48 Credit Hours.**

MATH 165 - Calculus 1 (4)

MATH 166 - Calculus 2 (4)

MATH 215 - Discrete Systems (4)

MATH 217 - Linear Algebra (4)

MATH 221 - Probability and Statistics (3)

MATH 250 - Pre-College Mathematics from an Advanced Viewpoint (3)

MATH 496 - Capstone Course for Mathematics Teaching Majors (3)

**Complete One Option**

MATH 201 - Number, Algebra and Probability for the Elementary Teacher (4)

MATH 202 - Data Analysis, Geometry and Measurement for the Elementary Teacher (3)

MATH 310 - Topics in Algebra for the Elementary and Middle School Teacher (3)

MATH 316 - Topics in Number Theory for the Elementary and Middle School Teacher (3)

MATH 360 - Topics in Geometry for the Elementary and Middle School Teacher (3)

**At least 6 hours from (as approved by advisor**)

MATH 251 - Introduction to Mathematics of Finance (2)

MATH 267 - Calculus 3 (4)

MATH 311 - Algebraic Structures (3)

MATH 335 - Mathematics Models (3)

MATH 345 - Survey of Geometries (4)

MATH 416 - Theory of Numbers (3)

MATH 460 - History of Mathematics (3)

Students are encouraged to take CS 120 and PHYCS 120. CS 120 has a WISER+T designation and PHCY 120 satisfies the TIER 1 natural science requirement in the University Core Curriculum. All students will be required to take a comprehensive exam designated by the department.

**Professional Education Sequence, 42 Hours**

MATH 150 - Introduction to Secondary Mathematics Education (3)

EDMU 205 - Introduction to Multicultural Education (3)

EDPS 251 - Human Growth and Development for Secondary Education (3)

EDPS 390 - Educational Psychology (3)

EDJH 385 - Principles of Teaching in the Middle School (3)

MATH 331 - Technology in the Teaching of Secondary Mathematics (3)

MATH 393 - Teaching and Learning Mathematics in the Middle School (3)

EDFO 420 - Social, Historical, and Philosophical Foundations of Education (3)

MATH 395 - Teaching and Learning Mathematics in the Secondary School (3)

EDSE 380 - Principles of Teaching in the Secondary School (3)

Student Teaching (12)

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**150 Introduction to Secondary Mathematics Education (3)**

An introduction to secondary mathematics teaching. Content includes constructing an informed vision of mathematics and mathematics teaching, developing basic skills for teaching mathematics, and beginning preparation for teacher licensure.

*Prerequisite or parallel: *MATH 165 or permission of the department chairperson.

**165 Calculus 1 (4) **

Differential calculus of algebraic and transcendental functions and applications, antidifferentiation and the Riemann integral. Includes the use of graphing calculators and computer software.

*Prerequisite: *C- or better in MATH 111 and MATH 112 or sufficient background in algebra and trigonometry as evidenced by the student's SAT/ACT scores and/or score on the mathematics placement test, or permission of the department chairperson.

**166 Calculus 2 (4)**

Standard techniques of integration, applications of the integral, sequences and series, indeterminate forms, and numerical methods. Includes the use of graphing calculators and computer software.

*Prerequisite: *MATH 165.

**201 Number, Algebra, and Probability for the Elementary Teacher (4)**

In-depth treatment of concepts underlying common topics in the elementary mathematics curriculum including concepts in number and operation, algebra, and probability. Use of selected concrete manipulatives and technology is included.

*Prerequisite: *any of the following: qualifying ACT or SAT score, or appropriate score on the mathematics placement test, or credit in MATH 101 with a C- or better, or permission of the department chairperson.

*Open only to *option 1 mathematics teaching majors, or majors in elementary, special, or early childhood education.

**202 Data Analysis, Geometry, and Measurement for the Elementary Teacher (3)**

In-depth treatment of concepts underlying common topics in the elementary mathematics curriculum including concepts in data analysis, geometry, and measurement. Use of selected concrete manipulatives and technology is included.

*Prerequisite: *MATH 201 with a C- or better grade.

**215 Discrete Systems (4)**

Topics from discrete mathematics, including formal logic, methods of proof, set theory, relations, recursion, combinatorics, and graph theory. A systematic development of number systems via equivalence classes is included as an application of these topics.

*Prerequisite: *MATH 162 or MATH 165 or permission of the department chairperson.

**217 Linear Algebra (4)**

Theory and application of systems of linear equations, vector equations, linear transformations, vector spaces, and inner product spaces. Includes the use of computer software.

*Prerequisite: *MATH 162 or MATH 165 or permission of the department chairperson.

**221 Probability and Statistics (3)**

Elementary probability theory, random variables, discrete and continuous probability distributions. Theory and applications of descriptive and inferential statistics. Statistical software and graphing calculator use is integrated throughout the course.

*Prerequisite: *MATH 162 or MATH 165 or permission of the department chairperson.

**250 Pre-College Mathematics from an Advanced Viewpoint (3)**

In-depth treatment of concepts underlying common topics in the middle and high school mathematics curriculum. Topics include number systems, polynomial and transcendental functions, analytic geometry, theory of equations, and measurement.

*Prerequisite: *MATH 150 and MATH 166 and MATH 215

*Open only to *mathematics teaching majors.

**251 Introduction to Mathematics of Finance (2)**

Mathematical topics in finance as expected to be useful in financial decision-making in the future. Topics will include compound and simple interest, savings, mortgages, loans, equity, annuities, equations of value, yield rates, amortization, sinking funds, bonds, and current topics in finance as time permits. Emphasis will be on fundamental principles, calculations, and practical applications.

*Prerequisite: *MATH 111 and MATH 112 or sufficient background in algebra and trigonometry as evidenced by the student's SAT/ACT scores and/or score on the mathematics placement test.

**267 Calculus 3 (4)**

Multidimensional calculus and its applications. Topics include three-dimensional vector calculus, Gauss's theorem, Green's theorem, and Stoke's theorem. Includes the use of graphing calculators and computer software.

*Prerequisite: * MATH 166

**310 Topics in Algebra for the Elementary and MIddle School Teacher (3)**

Development of algebraic concepts including variables, functions, and matrices, and applications of these topics in the elementary and middle school curriculum.

*Prerequisite: *MATH 202 with a C- or better grade.

**311 Algebraic Structures (3)**

Consideration of the basic algebraic structures: groups, rings, integral domains, and fields. Examples of these structures and elementary proof will be emphasized as will polynomials over rings, integral domains, and the fields of real and complex numbers.

*Prerequisite: *MATH 215 and MATH 217

**316 Topics in Number Theory for the Elementary and Middle School Teacher (3)**

The study of a collection of topics from the theory of numbers that have specific applications in the elementary and middle school curriculum.

*Prerequisite: *MATH 202 with a C- or better grade.

**331 Technology in the Teaching of Secondary Mathematics (3)**

The use of technology in the teaching of secondary and middle school mathematics, such as spreadsheets, calculators, algebraic or geometric modeling tools, educational software, and World Wide Web applications.

*Prerequisite: *MATH 250; admission to Teacher Education; permission to enroll in 300/400-level professional education courses.

**335 Mathematical Models (3)**

Construction of mathematical models for use with problems in physics, chemistry, biology, and economics. Emphasizes the construction and interpretation of models. Existing computer software will be used.

*Prerequisite or parallel: *MATH 166 and MATH 217

**345 Survey of Geometries (4)**

A comparative study of Euclidean and non-Euclidean geometries, their respective histories and technologies, and their applications in mathematics, the sciences, and modern life.

*Prerequisite: *MATH 166 and MATH 215 and MATH 217

**360 Topics in Geometry for the Elementary and Middle School Teacher (3)**

Investigation of selected topics in geometry and measurement, from both historical and contemporary perspectives, with applications in the elementary and middle school curriculum.

*Prerequisite: *MATH 202 with a C- or better grade.

**393 Teaching and Learning Mathematics in Middle School (3)**

Introduction to national and state mathematics standards, curricular materials, instructional materials and methods, and assessment related to topics taught in middle school mathematics.

*Prerequisite: *for teaching major in mathematics option 1 or option 2, MATH 250 with a grade of C- or better; for middle school/junior high mathematics license, MATH 202 with a grade of C- or better; permission to enroll in 300/400-level professional education courses.

**395 Teaching and Learning Mathematics in the Secondary School (3)**

Examination of national and state mathematics standards, curricular materials, and methods for teaching mathematics to secondary school students. Issues related to mathematics curriculum, instruction, and assessment of secondary school students. Class ideas applied in teaching situations.

*Prerequisite: *MATH 311 or MATH 310 and MATH 345 or MATH 360 and MATH 393, a minimum grade-point average of 2.5 in all mathematics courses are to be applied to the major, and admittance to teacher education and permission to enroll in 300/400- level professional education courses.

**416 Theory of Numbers (3)**

Topics include the division algorithm; positional notation; divisibility; primes; congruences; divisibility criteria; the sigma, divisor, and phi functions; diophantine equations; linear, polynomial, and simultaneous congruences; theorems of Fermat, Euler, Lagrange, and Wilson; quadratic reciprocity.

*Prerequisite: *MATH 215 or permission of the department chairperson.

**460 History of Mathematics (3)**

The development of mathematics from prehistoric times to the seventeenth century. Topics may include number concepts and numeration, algebra, geometry, trigonometry, analytic geometry, and calculus.

*Prerequisite: *MATH 161 or MATH 165.

**496 Capstone Course for Mathematics Teaching Majors (3)**

Accompanies the student teaching experience of mathematics teaching majors.

*Prerequisite: *MATH 395.

*Parallel: *EDSE 460 and EDSE 465.

**Education: Foundations (EDFO)**

**420 Social, Historical, and Philosophical Foundations of Education (3)**

An academic study of the complex relationships between schools and society through the disciplines of sociology, history, and philosophy of education. The goal is to develop disciplines of normative, interpretive, and critical perspectives on education.

*Open only to *juniors.

**Education: Junior High/Middle School (EDJH)**

**385 Principles of Teaching in the Middle School (3)**

Combines the theory and practice of teaching at the middle school level. Includes the study of interdisciplinary planning and instructional strategies, cooperative learning, technology, classroom management, and current curricular issues. Intensive in-school assignments, observations, participation, and direct contact with adolescents required.

*Prerequisite: *permission of the department chairperson

*Parallel: *EDSE 380

**Education: Multicultural (EDMU)**

**205 Introduction to Multicultural Education (3)**

Examines social factors that affect teacher decision making and student achievement in United States schools. Addresses the need for intercultural competence, culturally informed instructional strategies, promotion of social justice, and reduction of racism and sexism in order to create democratic classrooms.

*Prerequisite: *sophomore standing.

**Educational Psychology (EDPS)**

**251 Human Growth and Development for Secondary Education (3)**

Introduction to human development from birth through adolescence, emphasizing the preadolescent and adolescent periods. Covers biological, cognitive, and social development as they apply to the middle school and high school settings.

*Open only to *students in secondary education programs.

**390 Educational Psychology (3)**

Study of the psychological principles underlying teaching, learning, thinking, behavior, and motivation. Content will cover the theories, research, and assessment of these concepts and their application in the school setting.

*Prerequisite: *EDPS 250 or EDPS 251.

**Education: Secondary (EDSE)**

**380 Principles of Teaching in the Secondary School (3)**

Combines theory and practice of teaching at the secondary level. Includes the study of instructional strategies, evaluation, curriculum development and organization, learning styles, technology, legal issues, and classroom management. Intensive in-school assignments, observations, participation, and direct contact with adolescents required.

*Prerequisite: *permission of the department chairperson.

*Parallel: *EDJH 385.* *

Robert Bell Building (RB), room 465

Ball State University

Muncie, IN 47306