Community College System of New Hampshire

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1 Community College ystem of New Hampshire MathematiC equirements dvisor s Handbook HID edition Great Bay CC Lakes egion CC Manchester CC Nashua CC NHI - Concord iver Valley CC White Mountain CC

2 L e t t e r F r o m h e C h an c el l o r ugust 3, 2012 Dear Colleague: I am very pleased to present the third edition of the CCNH: Mathematics equirements dvisor s Handbook. his guide is a resource to assist students, teachers, advisors, parents and policy-makers as we seek to improve math education in New Hampshire and eliminate barriers to postsecondary and professional achievement. he partnerships that have been building to improve math education in New Hampshire hold great promise for our high school population and the state s workforce. Collaborations among educational sectors have brought together high school and college-level educators in efforts to measure and improve student outcomes in math education. New Hampshire s Community College and University ystems have pledged efforts to double the number of graduates from M programs cience, echnology, ngineering and Math by In accepting that challenge, both ystems recognized the importance of a strong high school-to-college continuum in math education. Links between the postsecondary education sector and the business community are helping to inform and guide these efforts. ince the first publication of the CCNH: Mathematics equirements dvisor s Handbook, our focus on the transition from high school to college in mathematics has evolved into the Mathematics Learning Communities Project (MLC), a statewide high school-community college partnership that employs a two-tiered approach to improve mathematics preparedness. ier one is a mathematics course for high school seniors, built upon an established set of prerequisite competencies. ier two is a threshold college-level mathematics course that is also offered in high schools for concurrent credit through the unning tart partnership. his Handbook has three purposes: o inform students, parents, teachers, and guidance counselors of mathematics requirements for all associate degree programs at each of the seven community colleges; o underscore the importance, and the benefits, of staying engaged in mathematics education throughout all four years of high school; and o promote the adoption by high schools of the Mathematics Learning Communities Project two-tiered approach to improving mathematics preparedness I am extremely grateful to the high school and college mathematics faculty whose dedication to student success led to the creation of this reference guide and undergirds the ongoing work of the Mathematics Learning Communities Project. he CCNH: Mathematics equirements - dvisor s Handbook is a resource to inform academic planning. I encourage you to use it to improve the odds for college and professional success for New Hampshire s students. incerely, Dr. oss Gittell Chancellor I

3 c k n o w l e d g e m e n t s C C N H cknowledgements he content of the dvisor s Handbook has been developed over the past six years by many contributors from the New Hampshire educational community representing both the Community College ystem of New Hampshire (CCNH) and New Hampshire s econdary chools. his work has been funded by grants from the Math cience Partnership and the College ccess Challenge Grant Program (administered by the New Hampshire Department of ducation), and from CCNH. he names of those individuals forming the membership of the current Mathematics Learning Communities (MLC), Project Leadership eam, appear below. he Mathematics Learning Communities Project Leadership eam: Bob Bragdon, Professor & Chairperson, cience, echnology, ngineering and Mathematics Department Nashua CC Kim Knighton: Math Coordinator Profile chool Greg Morris: Math Department Chair Contoocook Valley egional High chool Debbie Payne: District Finance Director alem chool District Kate awal: Professor of Mathematics NHI Betsy tull: unning tart Coordinator Manchester Community College x-officio Bob Condon, CCNH ystem Fellow & MLC Project Director PL Chair rcondon@ccsnh.edu Beth Doiron, CCNH Director of DO and College ccess Programs bdoiron@ccsnh.edu For dditional Copies of the dvisor s Handbook: Or for additional information regarding the MLC Project, please contact Bob Condon, ystem Fellow rcondon@ccsnh.edu Link to dditional Materials of Interest: Websites: (Math ducation); (esources) Disclaimer: very effort has been made to assure the accuracy of the information included in this Handbook at the time of printing. Policies and procedures change over time and advisors and students should rely on current campus catalogs and websites in finalizing their enrollment planning. II

4 B L O F C C N H I... Introductory Letter from the Chancellor II... cknowledgements and Disclaimer III... able of Contents 1... Math equirements tatement from the Presidents 2... Prerequisite Math Competencies C O N e n t Mathematics equirements by cademic Program urvey esults from the Community College ystem of New Hampshire Math Faculty and Learning Center taff he Costs of Coming to a New Hampshire Community College Unprepared in Math wo-ier Practical pproach to trengthening Math Preparedness enior Colleges and Universities ccepting opics in pplied College Mathematics (C.Math) for ransfer he Mathematics Learning Communities High chool Partners dmissions and Financial id New tudent pplication Information III

5 M H Q U I M e n t C C N H Math equirements tatement pproved by the Presidents of the Community College ystem of New Hampshire very degree student must demonstrate basic arithmetic and algebra skills before enrolling in college-level math and other courses (e.g., science). o earn an associate degree, students will be required to complete successfully one or more college-level math classes specified by the particular program and curriculum to which the student has been accepted. tudents lacking basic arithmetic and algebra skills may achieve those competencies through developmental math courses offered at the college. 1

6 M H P Q U I I C C N H Prerequisite CCNH Math Competencies If an entering student demonstrates mastery of the fourteen algebraic skills described below, they will be prepared to both pass the math placement exams administered at time of entrance, and to successfully enroll in a college-level math course for degree credit. Please consider the need to master these competencies in your academic planning/ advising for students intending to enter one of New Hampshire s Community Colleges. Perform operations with signed numbers implify algebraic expressions olve and graph linear equations and linear inequalities olve formulas for specific variables pply the rules of exponents valuate numerical square roots ranslate and solve word problems Graph linear equalities in two variables Find the slope of a line implify polynomials Factor polynomials olve systems of linear equations in two variables implify rational expressions olve quadratic equations by factoring 2

7 M H Q U I M e n t C C N H Mathematics equirements by cademic Program he following matrices identify the mathematics requirements, by major and campus, for all ssociate Degree programs at the seven Colleges of the New Hampshire Community College ystem. For advising purposes, these matrices provide a valuable tool for informing high school students of the importance of staying engaged with math instruction through the junior and senior year. While the matrices supply a general guide for identifying math requirements by major, students should plan to utilize the advising services at the individual colleges for making their final course selections. nrolling in one of the courses shown in the following matrices, normally requires achieving an established cut-score on a placement exam administered prior to matriculation. Please emphasize with your advisees that all degree programs at the Community Colleges require at least one college-level math course for completion. 3

8 Mathematics equirements by ssociate Degree Programs (1) MH 150: College lgebra MH 145: opics in pplied College Mathematics MH 210: Pre-Calculus MH 215: Finite Math MH 225: Probability and tatistics MH 230: Calculus I MH 250: Calculus II ccounting Biotechnology Computer echnologies Criminal Justice Digital Media: (C) = Communications (G) = Gaming (C) (G) arly Childhood ducation 4 Health Information echnology Hospitality Management Information ystems echnology Liberal rts 6-8 L/merican tudies 6-8 L/Biology - General 4 (210, 225, 230, 250) L/Biology - ransfer (3) L/Business tudies L/Chemistry (3) L/ngineering cience 4 (150, 210 or 250) L/nvironmental cience L/eacher Preparation 8 Management Marketing Massage herapy Nursing urgical echnology echnical tudies 3-4 Veterinary echnology MH lectives (credits) (2) (1) Certificate Program with Math requirements: Biotechnology Certificate requires MH 150. (2) he number of elective credits required by each program. In most cases, the math courses listed here will fulfill these credit requirements. For programs that require MH 145 or MH 150, students may substitute a higher level math (based on placement test scores). (3) or higher as approved by Department 4

9 C C N H Mathematics equirements by ssociate Degree Programs (1) LM 1280: opics in pplied College Math LM 1310: Boolean lgebra LM 1370: echnical lgebra and Geometry LM 1420: ssentials of lgebra LM 2160: tatistics LM 2110: College lgebra ccounting utomotive ervice ducation Program utomotive echnology Business Management Computer echnologies (2) Culinary rts arly Childhood ducation lectrical Power and Control echnologies lectrical ystems Installation and Maintenance nergy ervices and echnology Fine rts Fire echnology General tudies Graphic Design Human ervices Liberal rts Marine echnology Media rts and echnology Nursing Office echnology Management estaurant Management eacher Preparation LM 2250: Finite Math LM 2350: Pre-Calculus LM 2700: Calculus I (1) Most programs require Mathematics electives; therefore, students take courses based on the placement exam. he courses listed by major are the minimum requirements. tudents are encouraged to enroll in the higher level courses when possible. (2) Gaming option requires minimum LM 2110 & LM 2350 LM 2710: Calculus II 5

10 Mathematics equirements by ssociate Degree Programs MH 103: C Math MH 111: Numerical Geometry MH 131: lementary lgebra (1) MH 135: Numerical lgebra and rigonometry MH 132: Business Mathematics MH 141: dvanced lgebra and rigonometry MH 170: Discrete Mathematics MH 151: Intermediate lgebra (1) MH 171: Pre-Calculus ccounting utomotive echnology (2) MH 200: Finite Mathematics Building Construction echnology Business Communications Computer cience arly Childhood ducation (5) (5) (5) lectrical echnology xercise cience Fine rts (3) General tudies (2) Graphic Design Health Information Management Heating Ventilation & ir Conditioning Interior Design Liberal rts (4) Liberal rts/business Liberal rts/ducation Management Marketing Medical ssistant Nursing (6) (6) (6) Welding MH 202: Probability & tatistics MH 204: Calculus I MH 214: Calculus II No: MH 103, opics in pplied College Math can serve as a math elective No: he courses listed by major are the minimum requirements tudents are encouraged to enroll in higher level math courses where appropriate. (1) MH 151 may be substituted for MH 131 with satisfactory placement scores or instructor permission. (2) tudents may elect any math course 100 level or higher (3) Fine rts degree requires two 3-credit math electives (4) Liberal rts degree requires two math electives (7-8 credits) (5) C degree requires MH 103 or MH 131 (6) Nursing degree requires MH 131 or MH 202 6

11 C C N H (603) Mathematics equirements by ssociate Degree Program MHN 103: opics in pplied College Mathematics MHN 108 Contemporary Math. MHN 106: lementary tatistics MHN 110: lgebra and rigonometry MHN 120: Pre-Calculus MHN 115: Finite Mathematics dvanced Machine ool echnology utomotive echnology viation echnology Business dministration Collision epair echnology Computer cience Culinary rts (1) (1) (1) arly Childhood ducation lectronic ngineering echnology General tudies Honda utomotive echnology Hospitality (1) (1) (1) Human ervices Liberal rts Mechanical Design echnology Nursing Paralegal tudies peech Language Pathology ssistant eacher ducation MHN 210: Calculus I MHN 211: Calculus II MHN 215: Linear lgebra MHN 212: Multivariate Calculus MHN 216: Math Language Logic & Proof MHN 217: Probability & tatistics MHN 220: lementary Differential quations (1) equires MHN 106 or MHN 115 7

12 Mathematics equirements by ssociate Degree Program M 124: College lgebra M 125: Finite M 120: opics in pplied College Math ccounting ddiction Counseling M 129: Math for llied Health M 133: lementary Functions Mathematics M 134: Pre-Calculus M 205: Calculus I nimation and Graphic Game Programming (1) (1) (1) rchitectural ngineering echnology (2) (2) Business dministration (3) (3) (3) Computer ngineering echnology Criminal Justice Dental Hygiene (4) (4) arly Childhood ducation ducation-ssociate of cience (5) (5) (5) lectronic ngineering echnology nvironmental ciences (8) (8) General tudies (6) (6) Health cience (4) (4) Hospitality & ourism Management (6) (6) Human ervice Information echnology Landscape & nvironmental Design (6) (6) Liberal rts (7) (7) Manufacturing ngineering echnology Mechanical ngineering echnology Nursing (8) (8) Paralegal tudies Paramedic mergency Medicine adiation herapy adiologic echnology ports Management Visual rts (9) (9) lternate courses and/or additional requirements are noted below: (1) M 133 or M 124 (2) M 205 required for Civil Focus only (3) M 124 and either M 125 or M 251 (4) M 120 or higher math course (5) M 120 or M 124 (6) M 120 or higher math course, excluding M 129 M 206: Calculus II (7) wo math courses, M 120 or higher, excluding M 129 (8) M 124 or higher math course, excluding M 129 (9) wo math courses, M 124 or higher, excluding M 129 M 251: tatistics 8

13 C C N H Mathematics equirements by ssociate Degree Program MHC 106: tatistics I (1) MHC 110: Functions & Modeling I (1) MHC 112: Mathematical Investigations, Great Ideas in Mathematics (1) MHC 120: Functions & Modeling II MHC 115: Finite Mathematics (1) ccounting dventure ecreation & Leisure tudies Business Computer Management Business Management Clinical Laboratory echnician Computer cience Networking Option (2) (2) Computer cience Internet/Website Design (2) (2) Criminal Justice arly Childhood ducation Human ervices Liberal rts Nursing Occupational herapy ssistant Physical herapist ssistant espiratory herapy eacher ducation MHC 210: Calculus I MHC 211: Calculus II MHC 215: Linear lgebra MHC 212: Multivariate Calculus MHC 216: Math Language, Logic and Proof (1) atisfies the first college mathematics at VCC. (2) Indicates required courses. Indicates the typical courses taken in this program and the number of courses needed for program requirements, but any combination of the courses listed above may be taken provided the credit requirement is satisfied. MHC 217: Probability and tatistics MHC 220: lementary Differential quations 9

14 Mathematics equirements by ssociate Degree Program BM 120: C Math BM 180: Pre-Calculus BM 214: tatistics BM 215: Calculus I BM 225: Finite Mathematics BM 220: Math in Our World ccounting (Option 1) ccounting (Option 2) utomotive ervice Management utomotive echnology Baking and Pastry rts Business dministration (Option 1) Business dministration (Option 2) Criminal Justice Culinary rts arly Childhood ducation nvironmental cience General tudies (1) (1) (1) (1) (1) (1) Human ervices Information echnology (Option 1) Information echnology (Option 2) Information echnology (Option 3) Liberal rts (1) (1) (1) (1) (1) (1) Medical ssistant Mobile quipment echnology Nursing (Option 1) Nursing (Option 2) Office Management urveying echnology eacher ducation (Option 1) eacher ducation (Option 2) (1) Varies depending on students needs. 10

15 C C N H M H U V Y urvey esults from Community College Math Faculty and Learning Center taff: What Weaknesses in ntering tudent Math Preparation Do You ee? Issues or Characteristics tudents are Bringing to the Classroom that erve as Barriers to heir uccess? Weak Math kills Fear or nxiety Weak nalytical kills Low Motivation Low or rratic ttendance Weak tudy kills Non-Math kills ssential for uccess? Motivation to Learn trong tudy kills ime Management eading Comprehension elf-direction nalytical kills 11

16 C C N H M H U V Y What High chool tudents Need to Know: Develop a global understanding of the value of math. Basic math, logic, reasoning, and problem solving are skills used throughout school and life. (hese critical thinking skills are incorporated in the Habits of Mind. For reference, please see he calculator is a great tool, but should not be a crutch. You need to understand math, not just do math. ttendance alone is insufficient to pass a college course in math. uccess is based on active participation and assessment. Do not allow too much time to go by without taking a math course or using your math skills. Know your learning style and how that impacts your approach to learning math. Use appropriate strategies for taking notes and studying for tests. ake ownership of your learning. sk for help when needed; moving onto the next lesson, unit, or course without mastering the content leads to disaster. 12

17 U N P P D C O C C N H he Costs of Coming to a New Hampshire Community College Unprepared in Math are eal! Pay Me Now, or Pay Me Later Developmental math course costs = $630 $840 Per Course ~ ome students take wo hese courses Do Not satisfy degree requirements hese courses are often a student s Most Difficult, first-semester subject very ssociate s Degree program in the Community College ystem of New Hampshire, requires the completion of at least one College-Level math course Please stress with your advisees the significant costs, in both ime and Money, associated with enrolling in one of New Hampshire s Community Colleges having failed to master the fourteen algebraic competencies described on page 2 of the Handbook. 13

18 W O I G Y C C N H he wo-ier Practical pproach to trengthening Math Preparedness for Middle-chieving High chool eniors he Problem: 65 percent of students planning to attend New Hampshire s Community Colleges are unprepared to enroll in college-level mathematics. ecent data suggest that as many as 40 percent of all students entering postsecondary education will require at lease one remedial course among all community college students only 25 percent who enroll in remedial education complete an associate degree in eight years (NG, 2011). he cost of remedial education in college is estimated to be in excess of $2 billion per year, (C, 2010). he Consequences: Beyond the cost in time, tuition and discouragement, according to a recent study by the National Center for ducational tatistics: Nearly two-thirds (63 percent) of those who require one or two remedial math courses fail to earn degrees. In contrast, nearly two-thirds (65 percent) of students who do not require remediation complete associates degrees or bachelor s degrees, (NC, Condition of ducation 2004, Indicator 18). he olution trategy: elying heavily on the critical thinking skills advanced by the Habits of Mind* and the engagement of students made possible through the use of applied problem solving, a wo-iered trategy for trengthening Math Preparedness has been developed: *For reference, go to: 14

19 W O I G Y ier One - enior Math Peter Bixby, ConVal H - Math Faculty, etired, developed a math course premised on the 14 Prerequisite Math Competencies detailed on page 2 of this Handbook. hese are the fundamental skills identified as being necessary to successfully engage in threshold-level (first for degree-credit) college mathematics. he course is focused on the learning skills and inclinations of middle-achieving high school seniors. Multiple teaching strategies are employed to best assure both the engagement of these, sometimes, reluctant learners and their ultimate success in mastering the targeted competencies. Preliminary pre- and post-test results have shown more than a 200% improvement in the number of students achieving the ccuplacer score established for waiver/advising entrance into the first college-level math course at the Community College ystem of New Hampshire (CCNH). hese students have now earned the opportunity to either enter one of the Community Colleges without the need for remediation (and all its incumbent costs), or enroll in the second stage of the wo-ier trategy. ier wo - opics in pplied College Mathematics (C.Math) C.Math has been developed as the common threshold math course within the CCNH. C.Math focuses on the computational skills and mathematical topics that a college-educated citizen should possess. he topic areas include: Number heory & ystems, lgebra, Finance, Geometry, and Probability & tatistics. gain, there is a strong emphasis on the Habits of Mind critical thinking skills and the use of applied problem solving; the goal is to teach both a discipline that provides an approach to problem solving, and to relate the use of that discipline to solve real life mathematical problems. he reviews have been very positive in confirming the capacity of C.Math to engage students in the mastery of computational skills they can then employ as tools to solve problems they see as relevant to their lives beyond the classroom. C.Math and the unning tart Program: C.Math is offered through the unning tart Program. uccessful completion of C.Math will result in the earning of either three or four credits in collegelevel mathematics. hese credits are accepted at all of the CCNH Colleges and transferable to a growing number of both two and four-year colleges and universities as described on page 17 (please check with the egistrar at the college of your choice). 15

20 W O I G Y Mathematics Learning Communities Project Notes Consequential dditional Benefit: tudents engaging in one or both stages of the wo-ier trategy will achieve a significant advantage in their quest for success in career or college. he simple fact that they are taking a math course in their senior year of high school will mean when they progress to either employment or college entrance, they will be doing so with both stronger and fresher math skills. here is a quantifiable diminution of computational skills that occurs over the course of time if those skills are not regularly exercised. llowing one or more years to lapse between one s last math course and engagement in postsecondary education or career training, presents an obstacle to success that few overcome without the cost and discouragement of remediation. Joining the Mathematics Learning Communities Project: econdary chools interested in learning more about participation in the MLC Project, and receiving the attendant curricula and professional development benefits of membership, should contact: Bob Condon, CCNH - ystem Fellow, rcondon@ccsnh.edu or Complimentary ccuplacer placement testing is currently being offered to Partner High chools. he testing is normally administered in the spring of the junior year for the cohort of students that each school identifies as candidates for enrollment in one of the courses making up the wo-ier trategy. Post testing of students completing enior Math has also been made available to determine both the students skill growth and eligibility to enroll in C.Math. Valuable eference Material: he CCNH ystem website contains valuable resource materials for understanding and implementing the wo-ier trategy hese materials include: Course Outlines for both the enior Math and C.Math courses dditional reference material from rthur L. Costa, d.d. and Bena Kallick, Ph.D., regarding the teaching of Habits of Mind esearch reports exploring the relationship of math preparedness and college success PDF of the CCNH: Mathematics equirements dvisor s Handbook 16

21 C M H N F C C N H enior Colleges and Universities ccepting opics in pplied College Mathematics (C.Math) for ransfer s of June 2012 growing number of enior Colleges and Universities are accepting the C.Math course credits for transfer towards completion of a Bachelor s Degree. his includes both students completing the course at one of New Hampshire s seven Community Colleges and High chool students completing C.Math via the unning tart concurrent enrollment program. he twenty-three enior Colleges and Universities, in the listing below, have approved C.Math credits for transfer. Champlain College V Daniel Webster College NH Fort Lewis College CO Franklin Pierce University NH Granite tate College NH Hesser College NH Husson College M John Jay College of Criminal Justice NY Johnson & Wales University I Keene tate College NH Louisiana tate University L New ngland College NH Niagara University NY Northeastern University M Norwich University V Penn tate University P Plymouth tate College NH outhern NH University NH pringfield College M Union Institute and University V University of Massachusetts at Lowell M University of New ngland M University of Utah U 17

22 H I G H C H OO L P N C C N H Mathematics Learning Communities High chool Partners During the past two years, the number of Mathematics Learning Communities High chool Partners has increased from ix to Fifteen (listed below). ach of these schools benefits from professional development activities that are specifically designed to advance a teaching strategy focused on the engagement of reluctant math learners. his instructional approach incorporates both the utilization of the Habits of Mind critical thinking skills and applied learning. dditionally, High chool Partners are also eligible for: On-site Consulting with Master eachers extbook Purchasing ssistance Fee-Free ccuplacer Placement esting opics in pplied College Mathematics (C.Math) uition cholarships Berlin High chool Gorham High chool obert J. Lister cademy Nashua High chool outh Pembroke cademy alem High chool tevens High chool ConVal egional High chool Lebanon High chool Nashua High chool North Newmarket enior High chool Profile chool paulding High chool Winnisquam egional High chool Woodsville High chool For information about becoming a MLC High chool Partner, please contact: Bob Condon, CCNH ystem Fellow rcondon@ccsnh.edu 18

23 P P L I C I O N I N F O GBCC LCC MCC NCC NHI VCC WMCC New tudent General pplication Information he following information is intended to serve as a general guide to the filing requirements for dmissions and Financial id at each of the seven New Hampshire Community Colleges. For the most up-to-date application information, please refer to the current catalog or website for the campuses to which you plan to apply. In general, for students seeking both admission and financial assistance, the following must be completed and filed: n admissions application, available from he Free pplication for Federal tudent id and unique to each campus (FF), available at NO: dditional application materials may be required for specific academic programs and to validate your eligibility for financial aid he catalog will state, or you will be notified, if these supplemental steps are necessary. Campus dmissions pplication Filing Dates Financial id pplication Filing Dates Nursing by February 28 Veterinary echnology preferred by pril 1 ll other programs until classes are filled Nursing by February 1 ll other programs until classes are filled Nursing by February 1 ll other programs until classes are filled Nursing by December 31 ll other programs until classes are filled LPN Program by eptember 1 emaining Health Programs by January 1 pplicants interested in Financial id are encouraged to apply for admission before January 1 Nursing by December 1 espiratory herapy by June 30 Physical herapist ssistant preferred by March 1 ll other programs until classes are filled Nursing by December 31 ll other programs until classes are filled File FF by May 1 for priority consideration File FF by May 1 for priority consideration File FF eight weeks prior to the beginning of classes File FF by May 1 for priority consideration eceipt of FF by May 1 for priority consideration Filing FF by pril 1 is recommended File FF by May 1 for priority consideration Links to all college websites at: 19

24 (603) For additional copies of the dvisor s Handbook or for further information about the Mathematics Learning Communities Project, please contact: Bob Condon, CCNH ystem Fellow rcondon@ccsnh.edu or Beth Doiron, CCNH Director of DO and College ccess Programs bdoiron@ccsnh.edu

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