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