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Breaking Barriers: Student Success in Community College Mathematics [Pehme köide]

  • Formaat: Paperback / softback, 204 pages, kõrgus x laius: 234x156 mm, kaal: 453 g, 4 Line drawings, black and white; 4 Illustrations, black and white
  • Ilmumisaeg: 30-Jun-2021
  • Kirjastus: Taylor & Francis Ltd
  • ISBN-10: 1032007974
  • ISBN-13: 9781032007977
Teised raamatud teemal:
  • Formaat: Paperback / softback, 204 pages, kõrgus x laius: 234x156 mm, kaal: 453 g, 4 Line drawings, black and white; 4 Illustrations, black and white
  • Ilmumisaeg: 30-Jun-2021
  • Kirjastus: Taylor & Francis Ltd
  • ISBN-10: 1032007974
  • ISBN-13: 9781032007977
Teised raamatud teemal:

The fact college students often struggle in mathematics is not new. They exhibit a great deal of anxiety, dislike, and overall disinterest. Quantitative data displaying abysmal student success rates are widely available and shared.

This book explores the complexity surrounding the issue of student difficulties in community college math. Though much quantitative research focuses on the faculty experiences and perspectives regarding methods and practices, the author puts the focus on students’ experiences.

The book presents the results of a study focused on students who struggled in mathematics. Though their experiences varied, they all entered community college with a great deal of disgust and anxiety toward mathematics courses and requirements. These impressions and attitudes create barriers to success. However, all the students eventually succeeded in fulfilling their college-level mathematics requirement.

The author presents these students’ experiences prior to entering community college, what led to both success and failure in their math courses, and the common themes leading to success and failure. Through these student responses, the author assists readers in gaining a better understanding of the community college student who struggles in math and how to break students’ community college math barriers to success.

TABLE OF CONTENTS

Preface

1. Math is a Four-Letter Word

2. The Framework for Developmental and Introductory College-Level Math

3.The Study, Settings, and the Participants

4. Prior Experiences in Math

5. Attempting Math and Community College

6. Navigating the First Developmental Math Course

7. Math Pathways and Completing Developmental Math

8. The End of the Rainbow

9 I Need More Math…Now What?

10. Lessons Learned in the Aftermath

Appendix A: Analyzing the Results and Ensuring Accuracy

Appendix B: Pre-Algebra and Introduction to Algebra Course Content

Appendix C: Stand-Alone Quantway 1 and Statway 1 Course Content

Appendix D: Elementary Algebra (all half semester) Content

Appendix E: Intermediate Algebra Content

Appendix F: Lead Questions for Student Participants

Appendix G: Lead Questions for the Lester Community College Faculty

Index

BIOGRAPHY

With 21 years of experience in mathematics education and 17 years as a community college math professor, the author has instructed courses from developmental math through calculus. He has served as Chair of the Developmental Math Department and Assistant Chair of the Mathematics Department at Sinclair College, Dayton, Ohio. He received the Jon and Suanne Roueche Award for Teaching Excellence and the Ohio Magazine Excellence in Education Award. His published research focuses on faculty viewpoints regarding pedagogical practices as well as conceptual research concentrating on developmental math. His article, "Acceleration and Compression in Developmental Math: Faculty Viewpoints," was awarded Article of the Year by the Journal of Developmental Education.



The author presents these student’s experiences prior to entering community college, what led to both success and failure in their math courses, and the common themes leading to success and failure.

Preface xiii
Acknowledgment xv
Author xvii
1 Math Is a Four-Letter Word
1(6)
The Endeavor to Fail
2(1)
Community Colleges
3(1)
Placement in Community College Math
3(1)
Developmental Math, College-Level Math, and the Courses in Between
4(1)
Looking Ahead
5(1)
References
5(2)
2 The Framework for Developmental and Introductory College-Level Math: Why Are So Many Students Unsuccessful?
7(16)
Lack of Prerequisite Skills
7(1)
Math Anxiety
8(1)
Affective Behaviors
8(1)
The Pathway to Negative External Attention
9(2)
Where Did Developmental Math Come From?
9(1)
The States Take Notice
10(1)
Addressing the Math Issue
11(1)
Is Developmental Math Effective?
12(1)
Initiatives to Improve Success in Math
13(5)
Emporium Model
13(1)
Alternate Math Pathways
14(1)
Statway
14(1)
Quantway
15(1)
Corequisite Model
16(1)
Distance Learning
17(1)
Other Practices
17(1)
Moving Forward
18(1)
References
19(4)
3 The Study, Settings, and the Participants
23(12)
Selecting the Participants
23(1)
Conducting the Study
24(1)
Meet the Participants
25(9)
Summary
34(1)
References
34(1)
4 Prior Experiences in Math
35(14)
The Positives
35(1)
Mixed Feelings
36(1)
The Negatives
37(1)
Simple Concepts Were No Longer Simple
38(1)
Math Became a Foreign Language
39(2)
High School Completion of Mathematics
41(1)
Mind the Gaps
41(1)
Difficulty Keeping Pace
42(1)
Humiliation 101
43(2)
Personal Problems, Poor Learning Environments, and Apathy
45(1)
Math as Compared to Other Subjects
46(1)
Summary
47(2)
5 Attempting Math and Community College
49(18)
Starting Community College
49(7)
Flores Community College
49(3)
Drummond Community College
52(1)
Arnold Community College
53(1)
Blair Community College
54(1)
Walsh Community College
55(1)
The Developmental Math Sequences and Modalities
56(1)
Starting Off on the Right, Wrong, and Indifferent Foot
57(9)
The Good
58(3)
The Bad
61(4)
The Indifferent
65(1)
Summary
66(1)
6 Navigating the First Developmental Math Course
67(34)
The Results Are In
67(1)
Common Themes for Failure for Developmental Math
67(9)
Apathy
67(2)
External Issues and Time Management
69(2)
Drowning in the Progressiveness of Math
71(2)
Repeating the Same Behaviors, Expecting Different Results, and Deflecting Blame
73(2)
Was Failure in Developmental Math an Anomaly or a Commonality?
75(1)
Themes for Success in Developmental Math
76(3)
Addressing Personal and Mental Health Issues and Time Management
76(3)
Addressing Learning Issues, Prerequisite Skills, and Learning Styles
79(11)
Quality of Life as a Motivator
84(2)
Making Connections
86(4)
Engaging and Effective Instructors
90(9)
Learning Mathematical Organization
93(3)
Understanding Math Terminology. Finally!
96(1)
Coasters
97(2)
Supplemental Instruction
99(1)
Summary
99(2)
7 Math Pathways and Completing Developmental Math
101(12)
The Pathways
101(2)
Problems in Intermediate Algebra
103(3)
The Coasters Crashed
104(1)
Harder Content, Faster Pacing, and Misaligned Modality
105(1)
Conquering Intermediate Algebra
106(4)
Recurring Themes
106(2)
New Themes
108(2)
Intermediate Algebra Was No Cakewalk
110(1)
Summary
111(2)
8 The End of the Rainbow
113(36)
The College-Level Courses
113(1)
Quantitative Reasoning
113(1)
Teacher Preparatory
114(1)
Introduction to Statistics
114(1)
College Algebra
114(1)
The Struggles in College-Level Math
114(11)
Personal Issues Resurfaced
115(1)
The Underestimation of Course Content
116(2)
Harder Content, Faster Pacing, and Misaligned Modality: Part Two
118(6)
The Midsemester Slump
124(1)
Success in College-Level Math
125(13)
Real-Life Applications: Math Actually Made Sense!
126(2)
The Positives of Corequisites
128(1)
Organization on Another Level
129(2)
Less Memorization, More Conceptualization
131(1)
More Stellar Teaching
132(5)
Maturity and Perseverance
137(1)
Successful Preparation for Exams
138(5)
Study Guides
138(2)
Reviewing and Fixing Past Errors
140(1)
Verbalizing Math
140(1)
Data Dump/Drop Off
141(1)
Math on a Regular Basis
142(1)
Little Enrollment in Online Courses
143(1)
Student Advice for Succeeding in College Math
144(3)
QR
144(1)
Teacher Preparatory
145(1)
College Algebra
145(1)
Introduction to Statistics
146(1)
Summary
147(1)
References
147(2)
9 I Need More Math Classes Now What?
149(14)
More Math?
149(1)
Life after College Algebra
150(4)
Rough Waters in Calculus
151(3)
The Faculty from LCC
154(1)
Common Struggles beyond College Algebra
154(4)
Algebra and Trigonometry
154(1)
The Missing Element of Geometry?
155(1)
The Ability to Make Connections and Difficulty with the Abstract
156(2)
Suggestions for Students
158(2)
Required Coursework
158(1)
Eat, Sleep, and Breathe Math
159(1)
Summary
160(1)
Reference
161(2)
10 Lessons Learned in the Aftermath
163(16)
Lesson 1 Gaps Are Ingredients for Failure
164(1)
Lesson 2 Student Responsibility and Mathematical Maturity Are Imperative Keys to Success
165(2)
Lesson 3 Math Anxiety Can Be Defeated or at Least Diminished
167(1)
Lesson 4 Connections Should Be Made, Not Forced
168(2)
Lesson 5 Alternate Math Pathways Benefit Students
170(1)
Lesson 6 But Stand-Alone Developmental Math Is Still Necessary
171(1)
Lesson 7 Stellar Teaching Is Invaluable
172(1)
Lesson 8 Higher Level Math (e.g., Calculus) Requires a Different Skill Set and Mindset Compared to Introductory College-Level Math
173(1)
Lesson 9 Learning Math Does Not Always Follow a Hollywood Script
174(1)
Final Thoughts
175(1)
References
176(3)
Appendix A Analyzing the Results 179(2)
Appendix B Pre-Algebra and Introduction to Algebra Course Content 181(2)
Appendix C Stand-Alone Quantway 1 and Statway 1 Content 183(2)
Appendix D Elementary Algebra (All Half Semester) Content 185(2)
Appendix E Intermediate Algebra Content 187(2)
Appendix F Sample Outline for Introduction to Statistics with the Corequisite from Arnold Community College 189(2)
Appendix G Sample Outline for Quantitative Reasoning with the Corequisite from Walsh Community College 191(2)
Appendix H Lead Questions for Student Participants 193(2)
Appendix I Lead Questions for the Lester Community College Faculty 195(2)
Appendix J Samples of Teaching Practices 197(2)
Index 199
Brian Cafarella, Ph.D. is a mathematics professor at Sinclair Community College in Dayton, Ohio. He has taught a variety of courses ranging from developmental math through pre-calculus. Brian is a past recipient of the Roueche Award for teaching excellence. He is also a past recipient of the Ohio Magazine Award for excellence in education.

Brian has published in several peer-reviewed journals. His articles have focused on implementing best practices in developmental math and various math pathways for community college students. Additionally, Brian was the recipient of the Article of the Year Award for his article, "Acceleration and Compression in Developmental Mathematics: Faculty Viewpoints" in the Journal of Developmental Education.