دانلود کتاب Breaking Barriers: Student Success in Community College Mathematics

فهرست مطالب :

Cover Half Title Title Page Copyright Page Dedication Contents Preface Acknowledgment Author 1. Math Is a Four-Letter Word The Endeavor to Fail Community Colleges Placement in Community College Math Developmental Math, College-Level Math, and the Courses in Between Looking Ahead References 2. The Framework for Developmental and Introductory College-Level Math: Why Are So Many Students Unsuccessful? Lack of Prerequisite Skills Math Anxiety Affective Behaviors The Pathway to Negative External Attention Where Did Developmental Math Come From? The States Take Notice Addressing the Math Issue Is Developmental Math Effective? Initiatives to Improve Success in Math Emporium Model Alternate Math Pathways Statway Quantway Corequisite Model Distance Learning Other Practices Moving Forward References 3. The Study, Settings, and the Participants Selecting the Participants Conducting the Study Meet the Participants Summary References 4. Prior Experiences in Math The Positives Mixed Feelings The Negatives Simple Concepts Were No Longer Simple Math Became a Foreign Language High School Completion of Mathematics Mind the Gaps Difficulty Keeping Pace Humiliation 101 Personal Problems, Poor Learning Environments, and Apathy Math as Compared to Other Subjects Summary 5. Attempting Math and Community College Starting Community College Flores Community College Drummond Community College Arnold Community College Blair Community College Walsh Community College The Developmental Math Sequences and Modalities Starting Off on the Right, Wrong, and Indifferent Foot The Good The Bad The Indifferent Summary 6. Navigating the First Developmental Math Course The Results Are In Common Themes for Failure for Developmental Math Apathy External Issues and Time Management Drowning in the Progressiveness of Math Repeating the Same Behaviors, Expecting Different Results, and Deflecting Blame Was Failure in Developmental Math an Anomaly or a Commonality? Themes for Success in Developmental Math Addressing Personal and Mental Health Issues and Time Management Addressing Learning Issues, Prerequisite Skills, and Learning Styles Quality of Life as a Motivator Making Connections Engaging and Effective Instructors Learning Mathematical Organization Understanding Math Terminology. Finally! Coasters Supplemental Instruction Summary 7. Math Pathways and Completing Developmental Math The Pathways Problems in Intermediate Algebra The Coasters Crashed Harder Content, Faster Pacing, and Misaligned Modality Conquering Intermediate Algebra Recurring Themes New Themes Intermediate Algebra Was No Cakewalk Summary 8. The End of the Rainbow The College-Level Courses Quantitative Reasoning Teacher Preparatory Introduction to Statistics College Algebra The Struggles in College-Level Math Personal Issues Resurfaced The Underestimation of Course Content Harder Content, Faster Pacing, and Misaligned Modality: Part Two The Midsemester Slump Success in College-Level Math Real-Life Applications: Math Actually Made Sense! The Positives of Corequisites Organization on Another Level Less Memorization, More Conceptualization More Stellar Teaching Maturity and Perseverance Successful Preparation for Exams Study Guides Reviewing and Fixing Past Errors Verbalizing Math Data Dump/Drop Off Math on a Regular Basis Little Enrollment in Online Courses Student Advice for Succeeding in College Math QR Teacher Preparatory College Algebra Introduction to Statistics Summary References 9. I Need More Math Classes ... Now What? More Math? Life after College Algebra Rough Waters in Calculus The Faculty from LCC Common Struggles beyond College Algebra Algebra and Trigonometry The Missing Element of Geometry? The Ability to Make Connections and Difficulty with the Abstract Suggestions for Students Required Coursework Eat, Sleep, and Breathe Math Summary Reference 10. Lessons Learned in the Aftermath Lesson 1: Gaps Are Ingredients for Failure Lesson 2: Student Responsibility and Mathematical Maturity Are Imperative Keys to Success Lesson 3: Math Anxiety Can Be Defeated...or at Least Diminished Lesson 4: Connections Should Be Made, Not Forced Lesson 5: Alternate Math Pathways Benefit Students Lesson 6: But Stand-Alone Developmental Math Is Still Necessary Lesson 7: Stellar Teaching Is Invaluable Lesson 8: Higher Level Math (e.g., Calculus) Requires a Different Skill Set and Mindset Compared to Introductory College-Level Math Lesson 9: Learning Math Does Not Always Follow a Hollywood Script Final Thoughts References Appendix A: Analyzing the Results Appendix B: Pre-Algebra and Introduction to Algebra Course Content Appendix C: Stand-Alone Quantway 1 and Statway 1 Content Appendix D: Elementary Algebra (All Half Semester) Content Appendix E: Intermediate Algebra Content Appendix F: Sample Outline for Introduction to Statistics with the Corequisite from Arnold Community College Appendix G: Sample Outline for Quantitative Reasoning with the Corequisite from Walsh Community College Appendix H: Lead Questions for Student Participants Appendix I: Lead Questions for the Lester Community College Faculty References Appendix J: Samples of Teaching Practices Index