Undergraduate Mathematics Education Proposed Changes Table of Contents New Course Proposal for ECE majors: MATH 2008 .......................................................................................................... 2 New Course Proposal for Secondary Mathematics Education and Middle Grades Education with Concentration in Mathematics majors: MATH 2595 ………………..…………………………………………………………11 Change in Degree Requirements/Major Program Requirements .................................. 21 Current Degree/Major Requirements from Catalog …...…………………………………26 Mathematics Education 1 Proposed Changes Packet KENNESAW STATE UNIVERSITY UNDERGRADUATE PROPOSAL New Course (NOT General Education) I. Proposed Information Course Prefix and Number: __MAT H 2008__________________ Course Title: ___ Foundations of Numbers and Operations _____________________________ Credit Hours (format should be # - # - #): _____3-0-3_______ Prerequisites: _______ MATH 1107 or MATH 2207__________________________________ (Prerequisites are courses or requirements that non-negotiable and must be successfully completed by any student before enrolling in the course or program under consideration. Corequisites are courses that can be taken before or in the same semester as the course under consideration. Courses at the upper-division level will require lower-division competencies or prerequisites.) Course Description for the Catalog: This course is an Area F introductory mathematics course for early childhood education majors. This course will emphasize the understanding and use of the major concepts of number and operations. As a general theme, strategies of problem solving will be used and discussed in the context of various topics. II. Justification for Course A. Explain assessment findings which led to course development. In an effort to improve the mathematical knowledge of all Georgia’s students, the Board of Regents took a bold stand in 2001 by requiring all early childhood education majors matriculating through State teacher education preparation programs to take four mathematics courses. Consequently, universities and colleges designed one course in Area F with the three remaining courses taught at the upper division level. An examination of the Area F courses indicated that they varied from one institution to another; thus, EPACC concluded that in keeping with the spirit of smooth transferability, this course should be standardized. This recommendation was made at the same time that the Georgia Department of Education began to phase out the Quality Core Curriculum (QCC) and implement the new Georgia Performance Standards (GPS) which also necessitated that programs reexamine the content of the Area F course. B. Explain for Prerequisites: 1. What is the substance of content in each prerequisite that commands its inclusion as a prerequisite to the proposed course? The proposed course will focus on the understanding and the use of the major concepts of number and operations, though problem solving in the context of various topics. Therefore, it is desirable that students have had prior experiences in data analysis (focus of MATH 1107 and MATH 2207) and algebra (focus of prerequisite courses for MATH 1107 and MATH 2207). 2. What is the desired sequence of prerequisites? NA: only one prerequisite course Mathematics Education 2 Proposed Changes Packet 3. What is the rationale for requiring the above sequence of prerequisites? 4. How often are the required prerequisites offered? Every semester, including summer. C. Give any other justification for the course. This is a new course required by the Board of Regents, to be included in Area F of all elementary education programs in the state. III. Additional Information A. Where does this course fit sequentially and philosophically within the program of study. This course will serve as the beginning of a sequence of specially designed courses in which prospective elementary school teachers will develop deep understandings of mathematics they will teach. Using the mathematics content strand of numbers and operations as the spring board, the course intends to further the students' development of mathematical proficiency, as envisioned by the National Research Council (2001). B. What efforts have been made to ensure that this course does not duplicate the content of other college courses with similar titles, purposes, or content? Since the course contents and goals were developed by the Board of Regents, there are some overlap of topics and goals of the proposed courses and some of the existing courses. However, we intend to make the proposed course unique by placing more focus on three important "strands" of mathematical proficiency: adaptive reasoning, strategic compentence, and productive disposition. Briefly, the NRC defines each of the three strands as follows: * strategic competence - ability to formulate, represent, and solve mathematical problems * adaptive reasoning - capacity for logical thought, reflection, explanation, and justification, * productive disposition - habitual inclination to see mathematics as sensible, useful, and worthwile coupled with a belief in diligence and one's own efficacy. We believe that the development of these strands will prepare the students for their study of "mathematics for teaching." C. Where will the course be located in the program (elective, required in Area F, required or elective for the major)? Indicate and justify its placement in the curriculum. Area F. This is a requirement by the Board of Regents. D. How often will this course be offered? Every semester. E. All sections of the course will be taught with the understanding that the following apply: Purpose of the Course 1. This course focuses on preparing early childhood education majors to: o Understand and use the major concepts of number and operations in mathematics for grades P5. Mathematics Education 3 Proposed Changes Packet o Solve problems using multiple strategies, manipulatives, and technological tools; interpret solutions; and determine the reasonableness of answers and efficiency of methods. o Communicate using precise mathematical terminology o Construct and justify arguments as well as interpret solutions; and determine reasonableness of answers and efficiency of methods Objectives of the Course 2. All students will learn to: o Understand numbers, ways of representing numbers, relationships among numbers, and number systems. o Understand meanings of operations and how they relate to one another. o Compute fluently and make reasonable estimates. o Apply multiple problem solving strategies and understand how approaches to solutions relate to one another. Course Content 3. A. Number Sense 1. Sets of Numbers: Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers, Real Numbers 2. Even and Odd Integers 3. Order Relationships 4. Estimation B. History of Numeration 1. Numeration Systems 2. Place Value C. Number Theory 1. Divisibility Rules (and why they work) 2. Greatest Common Factor (Concept and Algorithm) 3. Least Common Multiple (Concept and Algorithm) Mathematics Education 4 Proposed Changes Packet 4. Prime and Composite Numbers D. Concepts of Operations 1. Operations on Sets of Numbers 2. Identity Elements for Addition and Multiplication 3. Inverse Operations 4. Exploration of Other Bases 5. Proportional Reasoning E. Problem Solving: As a general theme of the course, problem solving strategies will be discussed and used in the context of topics A-D above. Strategies may include 1. Inductive Reasoning 2. Deductive Reasoning F. What instructional methodologies will be incorporated into the course to stimulate group process, writing skills, multiculturalism, and educational outcomes? The instructor is encouraged to model effective and research-based pedagogical techniques. The instructor is encouraged to address various learning styles and multiple intelligences. Instructional methods include, but are not limited to, small and large group projects, individual, small group, and whole class problem solving, student presentations, instructor led discussion, and some lecture. G. Outline the plan for continuous course assessment. What are the department, school, college, or professional standards which will be used for the assessment? How will it be determined that the course is current, meeting the educational needs of students and responsive to educational standards? How often will the course assessment be done by the department? H. Enclose a course syllabus (optional format described at the end of this document) SYLLABUS I. Course Prefix Number and Title: MATH 2008 II. Instructor: Office: Telephone: III. IV. Learning Objectives All students will learn to: uderstand numbers, ways of representing numbers, relationships among numbers, and number systems; understand meanings of operations and how they relate to one another; compute fluently and make reasonable estimates; and apply multiple problem solving strategies and understand how approaches to solutions relate to one another. Text(s) Mathematics Education 5 Proposed Changes Packet [Tentative] Reconceptualizing Mathematics, by Judy Sowder, Larry Sowder, and Susan Nickerson. W.H. Freeman & Compan V. Course Requirements/Assignments Tests, quizzes, papers, class participation, projects, or other assignments. VI. Evaluation and grading Tests 300 points Quizzes, papers, class participation, project 200 points Final Exam 200 points VII. Weekly Schedule Weeks 1 & 2: Reasoning about Quantities 1 What is a Quantity? 2 Quantitative Analysis 3 Values of Quantities Weeks 3 & 4: Numeration Systems 1 Historical Numeration Systems 2 Base-N numeration systems Weeks 5 - 7: Using Numbers in Sensible Ways 1 Mental Computation 2 Computational Estimation 3 Estimating Values of Quantities 4 Referents for Large and Small Numbers 5 Using Scientific Notation for Estimating Values of Very Large and Very Small Quantities Weeks 8 & 9: Classifying Numbers 1 Different Types of Numbers 2 Even and Odd Integers 3 Modular Arithmetic Weeks 10 -12: Number Theory 1 Divisibility Test 2 Divisors Mathematics Education 6 Proposed Changes Packet 3 Multiples 4 Primes and Composites Weeks 13 - 15: Concepts of Operations 1 Operations on sets 2 Properties of Operations (closure, commutativity, associativity, distributive property, identity, etc.) 3 Inverse Operations VIII. Academic honesty statement Every KSU student is responsible for upholding the provisions of the Student Code of Conduct, as published in the Undergraduate and Graduate Catalogs. Section II of the Student Code of Conduct addresses the University’s policy on academic honesty, including provisions regarding plagiarism and cheating, unauthorized access to University materials, misrepresentation/falsification of University records or academic work, malicious removal, retention, or destruction of library materials, malicious/intentional misuse of computer facilities and/or services, and misuse of student identification cards. Incidents of alleged academic misconduct will be handled through the established procedures of the University Judiciary Program, which includes either an “informal” resolution by a faculty member, resulting in a grade adjustment, or a formal hearing procedure, which may subject a student to the Code of Conduct’s minimal one semester suspension requirement. IX. Attendance Policy Class attendance is assumed and strongly recommended. In the event of an absence, the student is responsible for all material, assignments, and announcements presented in class. If you miss the class before a quiz, minor assignment, or test, you will still be expected to take the quiz or test on the day it is given or submit the minor assignment on the due date. In the event that you miss a quiz or an in-class minor assignment for a valid and verifiable reason, your final quiz/minor assignment grade will be based on the remainder of quizzes/minor assignments. Assignments can be faxed or emailed to the professor, and will be scored based on the time received. Reference/Bibliography Huinker, DeAnn M., and Eugene F. Krause. (1991) Investigations in Mathematics for Elementary Teachers. Lexington, MA: D. C. Heath & Co. National Council of Teachers of Mathematics, Teaching Children Mathematics (formerly Arithmetic Teacher), Reston, VA. (monthly journal) National Council of Teachers of Mathematics, Mathematics Teaching in the Middle School, Reston, VA. (monthly journal) National Research Council (2001) Adding it up: Helping children learn mathematics. J. Kilpatrick, J. Swafford,and B. Findell (Eds.). Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press. Mathematics Education 7 Proposed Changes Packet IV. Resources and Funding Required A. What resources will be redirected to accommodate this course? None B. Explain what items will cause additional cost to the department/school/college Personnel It is anticipated that there will be 5 sections of MATH 2008, which requires 1.25 FTE instructors, who are knowledgeable to the course content and goals. Computer Technology We do not anticipate any additional cost with computer technology. Library resources We do not anticipate any additional library resources for MATH 2008 Equipment Additional manipulatives (such as base-10 blocks, connecting cubes, Cuisenaire rods, etc.) will be needed to teach MATH 2008 in the way it was intended. Space Given the course will require the use of a variety of manipulatives and other appropriate materials, a classroom with appropriate storage space will certainly facilitate the teaching of the course as it is intended. Mathematics Education 8 Proposed Changes Packet COURSE MASTER FORM This form will be completed by the requesting department and will be sent to the Office of the Registrar once the course has been approved by the Office of the President. The form is required for all new courses. DISCIPLINE: _______ Mathematics ________________________ COURSE NUMBER: ______MATH 2008___________________ COURSE TITLE FOR LABEL: _____ Found'tns Number & Oper's _________________________ (Note: Limit 30 spaces) CLASS-LAB-CREDIT HOURS: __3-0-3______________ Approval, Effective Semester: ____Fall 2007______________ Grades Allowed (Regular or S/U): ___Regular_____________ If course used to satisfy CPC, what areas? _______________________________________ Learning Support Programs courses which are required as prerequisites: ___________________________________________________ APPROVED: _______________________________________________________________________ Vice President for Academic Affairs or Designee Mathematics Education 9 Proposed Changes Packet KENNESAW STATE UNIVERSITY UNDERGRADUATE PROPOSAL New Course (NOT General Education) Course Prefix and Number: ___MATH 2008__________________________ Responsible Department: ___Mathematics__________________________ Proposed Effective Date: ___Fall 2007_________________________ Submitted by: Signature Page ___________________________________________10-23-06 Name Date ___ Approved ___ Not Approved _____________________________ Department Curriculum Committee, Date _____________________________ General Education Council*, Date _____________________________ Professional Teacher Education Unit Program Area*, Date _____________________________ Department Chair, Date _____________________________ College/School Curriculum Committee AND/OR Teacher Education Council*, Date _____________________________ College/School Dean, Date _____________________________ Undergraduate Policies and Curriculum Committee, Date _____________________________ Dean of Undergraduate & University Studies, Date ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved *For curriculum proposals involving General Education courses, there should be collaboration by the Department Curriculum Committee and the General Education Council. For Teacher Preparation proposals, there should be collaboration by the Department Curriculum Committee, the Professional Teacher Education Unit (PTEU) Program Area Committee, the Teacher Education Council, and the College/School Curriculum Committee. Form updated December 2, 2004. Mathematics Education 10 Proposed Changes Packet A. KENNESAW STATE UNIVERSITY UNDERGRADUATE PROPOSAL New Course (NOT General Education) I. Proposed Information Course Prefix and Number: _____MATH 2595_______________ Course Title: ____ Mathematics for Middle Grades and Secondary Teachers _________________ Credit Hours (format should be # - # - #): __3-0-3_________ Prerequisites: ___6 hours of mathematics______________________________________ (Prerequisites are courses or requirements that non-negotiable and must be successfully completed by any student before enrolling in the course or program under consideration. Corequisites are courses that can be taken before or in the same semester as the course under consideration. Courses at the upper-division level will require lower-division competencies or prerequisites.) Course Description for the Catalog: MATH 2595. Mathematics for Middle Grades and Secondary Teachers. 3-0-3 Prerequisite: 6 hours of mathematics. Designed for the preservice teacher of mathematics for adolescents. Content strands to be explored include number and operation, algebra, and measurement. The process standards of communication, connections, problem solving, reasoning and proof, and representation will be emphasized. Appropriate use of manipulatives, calculators and software will be integrated in course materials. II. Justification for Course A. Explain assessment findings which led to course development. In an effort to improve the mathematical knowledge of all Georgia’s students, the new Georgia Performance Standards (GPS) require that mathematics teachers 6-12 have strong content preparation. Candidates’ comfort with, and confidence in, their knowledge of mathematics affects both what they teach and how they teach it. Knowing mathematics includes understanding specific concepts and procedures as well as the process of doing mathematics. This course will be the first in the content preparation of both MGE and Secondary Mathematics Education preservice teachers. B. Explain for Prerequisites: 5. What is the substance of content in each prerequisite that commands its inclusion as a prerequisite to the proposed course? This prerequisite requires that students have completed Area A and D in their General Education program. 6. What is the desired sequence of prerequisites? NA 7. What is the rationale for requiring the above sequence of prerequisites? NA 8. How often are the required prerequisites offered? NA C. Give any other justification for the course. Mathematics Education 11 Proposed Changes Packet III. Additional Information A. Where does this course fit sequentially and philosophically within the program of study. This course should be one of the first that students take in their Teaching Field. It will be a good preparation for the MATH 3390, 3395, and 3495 sequence required of both Middle Grades and Secondary mathematics education students. B. What efforts have been made to ensure that this course does not duplicate the content of other college courses with similar titles, purposes, or content? Mathematics educators in the Mathematics and Statistics Department and in the Secondary and Middle Grades Education Department have collaborated on this new course, ensuring that there is no duplication with other required mathematics courses and that the content matches the new Georgia Performance Standards. C. Where will the course be located in the program (elective, required in Area F, required or elective for the major)? Indicate and justify its placement in the curriculum. It will be in Area F for Middle Grades Education majors and in the Teaching Field for Secondary Mathematics Education majors. D. How often will this course be offered? Every semester E. All sections of the course will be taught with the understanding that the following apply: 4. Purpose of the Course Preservice teacher of mathematics for adolescents will explore number and operation, algebra, and measurement. The process standards of communication, connections, problem solving, reasoning and proof, and representation will be emphasized. Appropriate use of manipulatives, calculators and software will be integrated in course materials. 5. Objectives of the Course Develop and apply strategies to solve a variety of problems. Use the language and symbols of set theory and functions to communicate mathematically. Identify properties and characteristics of mathematical systems beginning with the rational numbers and building to the reals. Use a variety of estimation techniques to predict, conjecture, and determine reasonableness of results, especially when using technology. Express rational numbers in equivalent forms such as fractions, decimal, percents, exponential and scientific notation. Use ratio and proportion to build mathematical models in order to solve real-world problems. Mathematics Education 12 Proposed Changes Packet 6. Explore the operations, properties, and uses of real numbers. Use a variety of tools, physical models, and appropriate technology to develop an understanding of measurement concepts and relationships. Interpret measurements of many kinds of two- and three-dimensional objects. Use algebraic techniques to model and solve real world problems. Communicate comprehension of the National Council of Teachers of Mathematics Principles and Standards for School Mathematics. Course Content Number and Operation Numeration Systems – Naturals, wholes, integers, rationals, integers, reals Properties (commutative, associative, inverse, identity, closure, distributive, properties of zero and one) Mental computation and estimation strategies, recognizing reasonableness of results, rounding Number Theory – even, odd, primes, composites, factors, multiples, least common multiple, greatest common divisor, prime factorization, divisibility rules Exponents – review patterns, powers and roots of numbers, expanded notation Rational number models – number line, area, discrete - pattern blocks, cuisenaire rods, circles, base 10 blocks, fraction strips, etc. Recognizing various representations of a number (equivalent forms). Ordering fractions. Absolute value Integers – 2-color chips, number line Ratio, proportion, percents Proportional Reasoning Measurement Pythagorean Theorem (revisit irrationals) Develop and apply formulas for perimeter, circumference, area, volume, surface area – connect to concrete experience (covering, filling, counting) Selects, measures, and uses appropriate metric and/or customary units (linear, area, capacity/volume, weight/mass, angle, time, temperature) Algebra Modeling, Algebra, Patterns – Describe and generate patterns in a variety of ways such as verbally, developing a table, graphing ordered pairs, or by writing or identifying a formula Polynomial models, factoring, algebra tiles Mathematics Education 13 Proposed Changes Packet F. What instructional methodologies will be incorporated into the course to stimulate group process, writing skills, multiculturalism, and educational outcomes? The instructor is encouraged to model effective and research-based pedagogical techniques. The instructor is encouraged to address various learning styles and multiple intelligences. Instructional methods include, but are not limited to, small and large group projects, individual, small group, and whole class problem solving, student presentations, instructor led discussion, and some lecture. G. Outline the plan for continuous course assessment. What are the department, school, college, or professional standards which will be used for the assessment? How will it be determined that the course is current, meeting the educational needs of students and responsive to educational standards? How often will the course assessment be done by the department? H. Enclose a course syllabus (optional format described at the end of this document) IV. Resources and Funding Required A. What resources will be redirected to accommodate this course? None B. Explain what items will cause additional cost to the department/school/college None Personnel Computer Technology Library resources Equipment Space Mathematics Education 14 Proposed Changes Packet SAMPLE SYLLABUS FORMAT Course Prefix Number and Title: Math 2595/01 Mathematics for Middle Grades and Secondary Teachers Instructor: Office: Telephone: Learning Objectives 1. Develop and apply strategies to solve a variety of problems. 2. Use the language and symbols of set theory and functions to communicate mathematically. 3. Identify properties and characteristics of mathematical systems beginning with the rational numbers and building to the reals. 4. Use a variety of estimation techniques to predict, conjecture, and determine reasonableness of results, especially when using technology. 5. Express rational numbers in equivalent forms such as fractions, decimal, percents, exponential and scientific notation. 6. Use ratio and proportion to build mathematical models in order to solve real-world problems. 7. Explore the operations, properties, and uses of real numbers. 8. Use a variety of tools, physical models, and appropriate technology to develop an understanding of measurement concepts and relationships. 9. Interpret measurements of many kinds of two- and three-dimensional objects. 10. Use algebraic techniques to model and solve real world problems. 11. Communicate comprehension of the National Council of Teachers of Mathematics Principles and Standards for School Mathematics. Text(s) [Tentative] O’Daffer, Charles, Cooney, Dossey, Schielack (2005). Mathematics for Elementary School Teachers. (3rd Ed.). Boston: Addison Wesley. National Council of Teachers of Mathematics (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: NCTM, Available at http://standards.nctm.org. National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM. Available at http://standards.nctm.org. Course Requirements/Assignments Mathematics Education 15 Proposed Changes Packet Tests, quizzes, papers, class participation, projects, or other assignments. Evaluation and grading Tests 300 points Quizzes, papers, class participation, project 200 points Final Exam 200 points Weekly Schedule Weeks 1 & 2: Problem Solving 1 What is a problem? 2 Strategies Weeks 3: Numeration Systems 1 Historical Numeration Systems 2 Base-N numeration systems 3 The Real Number System Weeks 4: Estimation and Computation 1 Mental Computation 2 Computational Estimation 3 Estimating Values of Quantities 4 Referents for Large and Small Numbers 5 Using Scientific Notation for Estimating Values of Very Large and Very Small Quantities Weeks 5 & 6: Number Theory 1 Different Types of Numbers 2 Even and Odd Integers 3 Modular Arithmetic 4 Divisibility Test 5 Divisors 6 Multiples 7 Primes and Composites Weeks 7: Integers 1 Properties 2 Operations 3 Applications Weeks 8-10: Rational Numbers- Fractions, Decimals, Percents 1 Properties 2 Operations Mathematics Education 16 Proposed Changes Packet 3 Applications Weeks 11-12: Measurement Weeks 13-15: Mathematical Modeling Academic honesty statement Every KSU student is responsible for upholding the provisions of the Student Code of Conduct, as published in the Undergraduate and Graduate Catalogs. Section II of the Student Code of Conduct addresses the University’s policy on academic honesty, including provisions regarding plagiarism and cheating, unauthorized access to University materials, misrepresentation/falsification of University records or academic work, malicious removal, retention, or destruction of library materials, malicious/intentional misuse of computer facilities and/or services, and misuse of student identification cards. Incidents of alleged academic misconduct will be handled through the established procedures of the University Judiciary Program, which includes either an “informal” resolution by a faculty member, resulting in a grade adjustment, or a formal hearing procedure, which may subject a student to the Code of Conduct’s minimal one semester suspension requirement. Attendance Policy Class attendance is assumed and strongly recommended. In the event of an absence, the student is responsible for all material, assignments, and announcements presented in class. If you miss the class before a quiz, minor assignment, or test, you will still be expected to take the quiz or test on the day it is given or submit the minor assignment on the due date. In the event that you miss a quiz or an in-class minor assignment for a valid and verifiable reason, your final quiz/minor assignment grade will be based on the remainder of quizzes/minor assignments. Assignments can be faxed or emailed to the professor, and will be scored based on the time received. Reference/Bibliography National Council of Teachers of Mathematics, Teaching Children Mathematics (formerly Arithmetic Teacher), Reston, VA. (monthly journal) National Council of Teachers of Mathematics, Mathematics Teaching in the Middle School, Reston, VA. (monthly journal) National Research Council (2001) Adding it up: Helping children learn mathematics. J. Kilpatrick, J. Swafford,and B. Findell (Eds.). Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press. National Council of Teachers of Mathematics, Mathematics Teacher, Reston, VA. (monthly journal) National Council of Teachers of Mathematics, Journal for Research in Mathematics Education, Reston, VA. (monthly journal) Mathematics Education 17 Proposed Changes Packet V. COURSE MASTER FORM This form will be completed by the requesting department and will be sent to the Office of the Registrar once the course has been approved by the Office of the President. The form is required for all new courses. DISCIPLINE: _____Mathematics__________________________ COURSE NUMBER: ______MATH 2595___________________ COURSE TITLE FOR LABEL: ___ Math for Mid Gr & Sec Teachers ___________________________ (Note: Limit 30 spaces) CLASS-LAB-CREDIT HOURS: __3-0-3______________ Approval, Effective Semester: ____Fall 2007______________ Grades Allowed (Regular or S/U): _____Regular___________ If course used to satisfy CPC, what areas? _______________________________________ Learning Support Programs courses which are required as prerequisites: ___________________________________________________ APPROVED: _______________________________________________________________________ Vice President for Academic Affairs or Designee Mathematics Education 18 Proposed Changes Packet KENNESAW STATE UNIVERSITY UNDERGRADUATE PROPOSAL New Course (NOT General Education) Course Prefix and Number: _____MATH 2595________________________ Responsible Department: _Mathematics____________________________ Proposed Effective Date: _____Fall 2007_______________________ Submitted by: Signature Page ____________________________________________10-23-06__ Name Date ___ Approved ___ Not Approved _____________________________ Department Curriculum Committee, Date _____________________________ General Education Council*, Date _____________________________ Professional Teacher Education Unit Program Area*, Date _____________________________ Department Chair, Date _____________________________ College/School Curriculum Committee AND/OR Teacher Education Council*, Date _____________________________ College/School Dean, Date _____________________________ Undergraduate Policies and Curriculum Committee, Date _____________________________ Dean of Undergraduate & University Studies, Date ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved *For curriculum proposals involving General Education courses, there should be collaboration by the Department Curriculum Committee and the General Education Council. For Teacher Preparation proposals, there should be collaboration by the Department Curriculum Committee, the Professional Teacher Education Unit (PTEU) Program Area Committee, the Teacher Education Council, and the College/School Curriculum Committee. Form updated December 2, 2004. Mathematics Education 19 Proposed Changes Packet KENNESAW STATE UNIVERSITY UNDERGRADUATE PROPOSAL Change in Degree Requirements/Major Program Requirements Major or Degree Affected B.S. Mathematics Education Responsible Department Mathematics Proposed Effective Date Fall 2007 Please provide a brief summary of the changes proposed: Changes in Area F: 1. 2. 3. 4. EDUC 2110: Investigating Critical and Contemporary Issues in Education, a new course mandated by the Board of Regents for all teacher education students, will replace EDUC 2201: Teaching and Schools in a Changing Society in Area F. EDUC 2120: Sociocultural Influences on Teaching and Learning, a new course mandated by the Board of Regents for all teacher education students, will also be added to Area F. This will replace EDUC 2202 in Area F. EDUC 2130: Exploring Teaching and Learning, a new course mandated by the Board of Regents for all teacher education students, will replace EDUC 3308: Learning, Motivation, and Classroom Management in the Professional Education Sequence. EDUC 3308: Learning, Motivation, and Classroom Management will be dropped as a requirement. Additional Changes in the Major. 1. MATH 2595: __ Mathematics for Middle Grades and Secondary Teachers, a new course, will be added to the Teaching Field. I. Current Information Page Number in Current Catalog: EDUC 2201: page 311 EDUC 2202: page 311 EDUC 3308: page 312 Major in Mathematics Education: page 119 Current Degree/Major Program Requirements (please copy exactly from catalog): See attachment or go to http://www.kennesaw.edu/academicaffairs/acadpubs/acadpub/ucat200607/n.education.pdf II. Proposed Information Include an outline of the entire program and please underline or otherwise highlight changes: Mathematics Education 20 Proposed Changes Packet Mathematics Education Major—Course Requirements Area F for Mathematics Education Majors Old Hours New EDUC 2201Teaching and Schools in a Changing 3 EDUC 2110: Investigating Critical and Society Contemporary Issues in Education EDUC 2202 Life Span Dev.: Ado/YA Emphasis 3 EDUC 2130: Exploring Teaching and Learning MATH 2202 Calculus II 4 Same MATH 2203 Calculus III 4 Same CSIS 1020 or CSIS 2301*** 3 Same * one hour from general education is carried over to lower division Total hours this section: 18 Teaching Field (all 3 hour courses) OLD New MATH 2595 Math for Mid Gr & Sec Teachers MATH 3260 Linear Algebra Same MATH 3322 Discrete Modeling I Same MATH 3332 Probability and Statistical Same Inference MATH 3390 Introduction to Mathematical Same Systems MATH 3395 Geometry Same MATH 4361 Modern Algebra Same MATH 3495 Advanced Perspectives on Same School Mathematics I MATH 4495 Advanced Perspectives on Same School Mathematics II Total hours this Old 24 hours New 27 hours section: Professional Education Sequence Hours IX. New Course EXC 3304 Education of Exceptional Students EDUC 3308 Learning, Motivation, and Classroom Management MAED 3475 Modern & Hist Persp MAED 4416/MAED 4417 Teaching Math MAED 4475 Student Teaching Total hours this section: 3 3 3 9 12 30 Same EDUC 2120: Sociocultural Influences on Teaching and Learning Same Same Same Same Overall hours remain the same. III. Justification for Change: In December of 2004 the EPAAC committee approved a new framework for Area F in teacher preparation. This framework included a series of three courses in education that will serve as the universal core content for pre-service teacher education programs in the University System of Georgia. EPAAC charged the education Deans with the delineation of the core content and the appointment of three faculty committees to design the three courses. EDUC 2110: Investigating Critical and Contemporary Issues in Education was designed to provided teacher educators with Mathematics Education 21 Proposed Changes Packet an education foundation which would include the humanities and social sciences; EDUC 2120: Sociocultural Influences on Teaching and Learning was designed to prepare students to work with a growing diverse student population; and EDUC 2130, Exploring Teaching and Learning looks at teaching and learning from a perspective that allows instructors to reflect upon their own learning experiences and use this experience to better inform their students. The course embraces educational psychology theory in its content. The revised Area F will allow the University of Georgia System Colleges and Universities to move closer to creating a seamless transition from two year to four year institutions Other changes: A review of the secondary mathematics education program revealed that our program does not currently meet several NCATE/NCTM standards dealing with number and measurement. Also, the certification area has expanded from 7-12 to 6-12 and our students are not as well equipped as they should be to teach the new Georgia Performance Standards in grades 6 – 8. To prepare future mathematics teachers to meet these needs, the mathematics education faculty and the middle grades education faculty designed a new course, MATH 2595: Mathematics for Middle Grades and Secondary Teachers. Supporting Analyses of the Program – When degree and/or major program requirements are being revised, it is an opportunity to reconsider the relevance, effectiveness and efficiency of the entire structure of the program. Following are some questions designed to provoke thoughtful evaluation of a program. If a program is being substantially revised, written responses to each of these items should be included as part of the proposal for the UPCC. If a minor change is being made to a program, writing out responses to all items is not necessary. However, UPCC members may ask about these issues during their evaluation of any proposal. What are the primary learning outcomes of the program? See attached NCTM/NCATE standards What assessment findings have led to the proposed change(s)? BOR mandates, ongoing NCTE/NCATE and PSC program assessment, and informal faculty assessment have led to the proposed changes. Evaluate the prerequisites. NA Why are the specified courses needed as prerequisites? Why are there no prerequisites for some courses? Mathematics Education 22 Proposed Changes Packet What is the desired sequence of prerequisites? How often are the prerequisites offered? Every semester. Where within the program is an introductory overview of the major? EDUC 2110 is the first overview of education as a major and students spend 30 hours in the field. What are the capstone experiences of the program? MAED 4416: Teaching of Mathematics (6-12) and MAED 4417: Teaching of Mathematics (6-12) Practicum and MAED 4475: Student Teaching: Mathematics (6-12) are the capstone courses for the Mathematics Education program. Where within the program are there application activities and what are the activities? (E.g., field experiences, practicums, applied projects, undergraduate research, service learning, co-ops, internships, studio work, practical problem solving.) EDUC 2110, 2120, and 2130 all have field experience components EXC 3304 requires 10 hours of field work MAED 4416/4417 (TOSS) requires 100 hours of internship in a middle or high school MAED 4475 (student teaching) requires 800 of internship in a middle or high school Where and how do the following occur in the program? Writing, reading, critical thinking, presenting While these things occur naturally as a part of almost every mathematics class, they are focused on in MATH 2595, 3390, 3395, 3495, and 4495. Participative and collaborative learning While these things occur naturally as a part of almost every English class they are focused on in MATH 2595, 3390, 3395, 3495, and 4495. Use of information technology While these things occur naturally as a part of almost every English class, they are focused on in MATH 2595, 3390, 3395, 3495, and 4495. Also, MAED 3475: Historical and Modern Approaches to Mathematics emphasizes technology used in the mathematics classroom. Global and multicultural perspectives Mathematics Education 23 Proposed Changes Packet While these things occur naturally as a part of almost every mathematics class, they are focused on in the new proposed course, EDUC 2120. What are the required courses that contribute to the interdisciplinary nature of the program? MAED 3475, 4416, 4417, and 4475 contribute to the interdisciplinary nature of the Mathematics Education program by combining content and pedagogy in a logical fashion. Mathematics Education 24 Proposed Changes Packet B. KENNESAW STATE UNIVERSITY UNDERGRADUATE PROPOSAL Change in Degree Requirements/Major Program Requirements Major or Degree Affected B.S. Mathematics Education Responsible Department Mathematics Proposed Effective Date Fall 2007 Submitted by: Signature Page ______________ Name Oct. 23, 2006 Date ___ Approved ___ Not Approved _____________________________ Department Curriculum Committee, Date _____________________________ General Education Council*, Date _____________________________ Professional Teacher Education Unit Program Area*, Date _____________________________ Department Chair, Date _____________________________ College/School Curriculum Committee AND/OR Teacher Education Council*, Date _____________________________ College/School Dean, Date _____________________________ Undergraduate Policies and Curriculum Committee, Date _____________________________ Dean of Undergraduate & University Studies, Date ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved ___ Approved ___ Not Approved *For curriculum proposals involving General Education courses, there should be collaboration by the Department Curriculum Committee and the General Education Council. For Teacher Preparation proposals, there should be collaboration by the Department Curriculum Committee, the Professional Teacher Education Unit (PTEU) Program Area Committee, the Teacher Education Council, and the College/School Curriculum Committee. Form updated April 1, 2004. Mathematics Education 25 Proposed Changes Packet Bachelor of Science Degree Leading to Certification for Grades 6-12 College of Science and Mathematics Department of Mathematics (770) 423-6327 This single field program is designed to prepare mathematics teachers of adolescents, largely at the secondary school level (grades 6 through 12). It leads to 6-12 teacher certification in the teaching field of mathematics in Georgia. Candidates complete the equivalent of a major in mathematics and a second major in pedagogical studies with an emphasis on teaching mathematics. Credit Hours GENERAL EDUCATION (see previous listing of requirements) 42 UNIVERSITY-WIDE FITNESS FOR LIVING REQUIREMENT 3 Specific General Education requirements for this major MATH 1113 (Precalculus) and MATH 1190 (Calculus I) LOWER DIVISION MAJOR REQUIREMENTS (AREA F) 18* EDUC 2201 Teaching and Schools in a Changing Society 3 EDUC 2202 Life Span Development: Adolescent and Young Adulthood Emphasis 3 MATH 2202 Calculus II 4 MATH 2203 Calculus III 4 One of the following 3 CSIS 1020 Introduction to Programming Principles CSIS 2301 Programming Principles I *The additional hour for lower division major requirements is accrued from Calculus I in general education. TEACHING FIELD REQUIREMENTS 24 MATH 3260 Linear Algebra 3 MATH 3322 Discrete Modeling I 3 MATH 3332 Probability & Statistical Inference 3 MATH 3390 Introduction to Mathematical Systems 3 MATH 3395 Geometry 3 MATH 4361 Modern Algebra 3 MATH 3495 Advanced Perspective on School Mathematics Part I 3 MATH 4495 Advanced Perspective on School Mathematics Part II 3 PROFESSIONAL EDUCATION (7-12) REQUIREMENTS 30 (Must be formally admitted to the teacher education program before taking these courses) EXC 3304 Education of Exceptional Students 3 EDUC 3308 Learning, Motivation and Classroom Management 3 MAED 3475 Historical and Modern Approaches to Mathematics 3 Major in Mathematics Education, B.S. 1 20 Bagwell College of Education and PTEU Education Professional Education (7-12) Requirements, Major in Mathematics Education - cont’d) Credit Hours MAED 4416 Teaching of Mathematics (6-12) 6 MAED 4417 Teaching Mathematics: Practicum (6-12) 3 MAED 4475 Student Teaching: Mathematics (6-12) 12 FREE Any courses in the university curriculum. 6 ELECTIVES PROGRAM TOTAL: Mathematics Education 26 Proposed Changes Packet