A Mind For Numbers

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by Barbara Oakley, PhD


  summary, 46–47

  talking with others for help, 40, 92, 260

  toggling between thinking modes, 29–32, 31, 33–35, 36–39, 38, 46, 48

  See also diffuse mode of thinking; math and science, learning; memory

  Crick, Francis, xv–xvi

  criticism, 50, 232

  Crotchety, Mr., 3, 70

  cue (trigger) part of zombies (habits), 88, 94, 95, 96, 107, 109, 129, 153

  Dalí, Salvador, 31, 31, 32

  Daniel, David B., 261–63

  Darwin, Charles, 66, 208, 213

  Day, Thomas, 63

  day before a test, 246–47

  daydreaming, 101, 187, 190

  Dechant, Jason, 73, 177, 210–11

  decimal system mnemonic, 176

  deep-breathing and test taking, 245, 248, 249

  deep chunking, 196–99, 198

  default settings of brain, 256

  Defense Language Institute, 53

  “deliberate practice,” chunking, 114, 188

  Dell, Michael, 216

  density example, 173

  depression, 45

  Derman, Emanual, 199

  developing the mind’s eye through equation poems. See mind’s eye, developing through equation poems

  “Devil’s Advocate,” 228

  See also right hemisphere of brain

  Dickens, Charles, 30

  different location and recall, 90, 182

  different problems and techniques, interleaving, 75

  diffuse mode of thinking, 11, 12

  activators for, 35

  “aha!” insights, 30, 227

  background, working on a problem, 44

  big-picture perspective, 12, 18, 19, 20, 30, 226, 227, 228, 247, 248

  brick wall metaphor, 38, 38, 39, 43, 85, 254

  chunk library and, 117

  coins and triangle exercise, 23, 23

  creativity and, 32–33, 40

  flashlight metaphor, 18–19, 26

  frustration signal, 39

  hard-start–jump-to-easy technique, 241–44, 245–46, 248, 249

  intuition problem solving, 67, 67, 236–37, 247

  magical math marination, 142–43

  pinball metaphor, 13, 13, 14, 15, 15

  resting state network, 11

  right hemisphere of brain, 20, 225–27, 227, 228

  sentence errors exercise, 33

  spirituality and, 189

  triangles and squares exercise, 21, 21

  See also creativity and learning; focused mode of thinking; toggling between thinking modes

  disadvantages, turning into advantages, 193, 194, 195, 196, 197, 200

  “disagreeableness” and creativity, 50

  discomfort and procrastination, 85–86, 90, 101, 102, 107

  distractions

  memory and, 156, 260

  procrastination and, 84, 105, 107, 150–51, 151, 154

  double-checking your work, 228, 233, 236, 247, 248, 249

  Dragone, Debra Gassner, 60

  Drozd, Trevor, 38

  Duhigg, Charles, 93

  Earl (lamb), 3

  easy does it, 9–28, 253

  See also diffuse mode of thinking; focused mode of thinking

  eBay, 124

  Edison, Thomas, 29, 30–31, 31, 32, 33, 111

  Einstein, Albert, 189, 206, 206, 230, 230

  Einstellung effect (getting stuck), 17, 25, 26, 27–28, 36–39, 38, 52, 146, 170, 186, 243

  electricity, 168

  electromagnetic waves, 202

  Ellison, Larry, 216

  Emmett, Rita, 85

  emotional tone-deafness, 226

  empathy, 220

  encryptedness and complexity, 16–17

  energy savings from habits, 93–94

  engines, invention, 112

  enhancing your memory. See memory

  epidermis layers, 162

  equation poems, 201–5

  See also mind’s eye, developing through equation poems

  “equation sheet bingo,” 229

  “Equation Whisperer.” See chunking

  Evernote, 138

  evolution, 213

  exercise and memory, 108, 178–79, 182

  experimental notebook, 107

  expertise from memory tricks, 179–81

  expertise (increasing your) and reducing anxiety. See chunking

  explanatory questioning (simplifying study material), 79, 207–8, 255, 258

  failure and learning, 33, 41, 110–11, 219

  FAQs, procrastination, 148–52

  fear and creativity, 49–50

  fears, facing your, 244–46, 248, 250–51

  Felder, Richard, 239, 239–41

  Feynman, Richard, 202, 207, 229–30, 232, 252–53, 255, 256

  Fields Medal, 70

  Fiore, Neil, 129

  fishing techniques, 211

  flash cards, 64, 138, 174, 257

  flashlight metaphor, 18–19, 26

  focused attention, 52–54, 53, 54, 57, 78, 254, 255

  focused mode of thinking, 11–12, 12

  attentional octopus, 14–15, 16, 52, 53, 53, 57

  brick wall metaphor, 38, 38, 39, 43, 85, 254

  chunk library and, 117

  coins and triangle exercise, 23, 23

  flashlight metaphor, 18–19, 26

  highly attentive state network, 11

  left hemisphere of brain and, 20, 226, 228, 233

  overconfidence and, 20, 226, 228, 233

  pinball metaphor, 13, 13–14, 15, 15

  prefrontal cortex, 12, 12, 14–15, 187

  procrastination and, 24

  sentence errors exercise, 33

  sequential problem solving, 67, 67

  triangles and squares exercise, 21, 21

  willpower and, 34

  See also diffuse mode of thinking; toggling between thinking modes

  Foer, Joshua, 155–57, 156, 163

  fooling yourself, ease of, 148, 229, 234

  Fortenberry, Norman, 92, 92

  43 Things, 139

  Freedom, 138

  “frogs,” eating first, 131, 140, 153, 258

  frustration, diffuse mode of thinking, 39

  furosemide memory trick, 181

  Gabora, Liane, 32

  Galois, Évariste, 224

  Gamache, Robert R., 72

  Gashaj, Michael, 137

  Gates, Bill, 66, 216

  Gazzaniga, Michael, 228

  generation (recalling) effect, chunking, 115

  genetic transposition (“jumping genes”), 206

  genius envy, 185–89, 190

  GI Bill, 5

  goals, setting, 136, 137, 141, 152

  Golden Apple Award, 208

  Goldman Sachs, 199

  Google, 27, 127, 138

  Gordon, Cassandra, 41

  Granovetter, Mark, 231

  Gray-Grant, Daphne, 131

  group work, 120, 130, 231–33, 234, 235, 239, 240, 241, 255, 259

  Gruber, Howard, 30

  habits. See zombies

  hand bones mnemonic, 176

  hand writing. See writing by hand

  hard-start–jump-to-easy technique, 241–44, 245–46, 248, 249

  hard tasks, 114, 116, 122, 148–49

  Hardy, G. H., 223

  harnessing, extending abilities, 32–33

  harnessing your zombies (habits), 84, 95–101, 97

  Hasan, Yusra, 96

  Hebert, Susan Sajna, 246

  hidden meanings in equations, 203–5, 211, 212

  highli
ghting text, 62, 125, 178, 259

  highly attentive state network, 11

  hitting the wall (knowledge collapse), chunking, 118, 123

  homework and test preparation, 240

  hostage negotiation, 147

  illusions of competence, 61–68, 64, 67, 77, 79, 117, 125

  “impostor phenomenon,” 188

  index cards example, 75–76

  Inspire! program, 124

  intellectual snipers caution, 219–21, 222

  intention to learn and learning, 62

  interleaving vs. overlearning, 74, 74–78, 113, 173

  Intermediate Physics for Medicine and Biology (Roth), 236

  internalizing concepts and solutions, 6, 73

  introverts and teamwork, 233

  intuition problem solving, 67, 67, 236–37, 247

  intuitive understanding, 183–85, 185, 190

  inventions, enhancing, 112, 113

  Iraq, 80

  isolation, 126, 130, 139, 153

  James, William, 119

  Jeshurun, Weston, 150

  jingles, 163

  Jobs, Steve, 216

  Johansson, Frans, 144–45

  Johnson, Steven, 66

  Jordan, 168

  “jumping genes” (genetic transposition), 206

  “just this one time” phenomenon, 135–36

  juvenile delinquents, 193–94, 199

  Kamkwamba, William, 215

  Kanigel, Robert, 223

  Karpicke, Jeffrey, xvii–xviii, 61–62

  Kasparov, Garry, 9–10, 10, 37

  keeping up with the intellectual Joneses, 36

  keys to becoming an “Equation Whisperer.” See chunking

  “keystone” bad habit, procrastination, 86

  knowledge collapse (hitting the wall), chunking, 118, 123

  knowledge vs. memory trick, 176

  Koehler, William, 180–81

  Kruchko, Paul, 80, 80–82

  labels and confidence, 192

  language-learning skills, 1, 4, 5, 6, 14, 16, 53, 63, 70, 118, 145, 198, 209, 210

  Law of Serendipity, ix, 66, 116, 122, 137, 256

  learned industriousness, 99

  learning more effectively, 6–7

  See also math and science, learning

  learning on your own, 213–16, 214, 218, 221, 222

  learning to appreciate your talent. See appreciating your talent

  LeechBlock, 139

  left hemisphere of brain, 20, 226, 228, 233

  Leopold, Kenneth R., 22

  library of chunks, 66–68, 67, 113, 115, 117, 120, 121, 122, 147, 186

  Limited Time Study, 81–82

  limiting cases and understanding an equation, 237

  Lisa, Allen, 93

  Lisi, Garret, 104, 104

  lists, enlisting, 130–31, 131, 132, 133, 134, 137, 140, 141, 149, 152

  little goes a long way, 89

  long-term memory, 41, 43, 47, 64, 65, 69, 74–75, 157, 179

  magical math marination, 142–43

  See also diffuse mode of thinking

  “magic of creativity,” 32

  Magrann, Tracey, 162, 164, 244

  Mandelbrot, Benoit, 203

  “Mandelbrot Set” (Coulton), 203

  Manhattan Project, 229, 252

  Man Who Knew Infinity: A Life of the Genius Ramanujan (Kanigel), 223

  Manzi, Mr., 201–2

  marking the objective, 102

  marking up text, 62, 125, 178, 259

  Marx, Chico, 136

  math and science, learning

  appreciating your talent, 183–92, 221

  challenges of math and science, 16–18

  easy does it, 9–28, 253

  mind’s eye, developing through equation poems, 201–12

  overconfidence, avoiding, 20, 225–37, 247, 248, 254

  paradoxes of learning, 41, 255

  renaissance learning, 213–24

  sculpting your brain, 193–200

  test taking, 238–51

  unlocking your potential, 252–60

  See also chunking; creativity and learning; diffuse mode of thinking; focused mode of thinking; memory; procrastination

  maturity of brain, 195, 199

  McClintock, Barbara, 206–7, 207

  McCormick, Jonathon, 136

  meaningful groups, memory, 175–76, 181

  meditation, 126–27

  MeeTimer, 139

  memory, 155–82

  creativity and, 179–80

  distractions, greatest enemy, 156, 260

  exercise and, 108, 178–79, 182

  expertise from memory tricks, 179–81

  jingles, 163

  long-term memory, 41, 43, 47, 64, 65, 69, 74–75, 157, 179

  meaningful groups, 175–76, 181

  memory palace technique, 160–63, 161, 164, 165

  metaphors, 168–71, 171, 175, 181, 182, 255, 258

  mnemonics, 160, 175–76

  muscle memory, 173, 177, 178–79, 181, 182

  names of people, 174

  neural structures, building, 159, 161, 162, 170, 173, 179, 182

  senses, invoking, 159, 163, 164

  short-term memory, 43

  songs, 162, 181, 257

  spaced repetition, 43, 47, 69, 172, 172–74, 257

  spatial memory, 157–58, 161, 166–67

  stories and, 177, 181

  summary, 164, 181

  talking to yourself, 178, 181

  visualization, 156, 171, 171

  visual memory, 157–58, 158, 158–59, 159, 161, 164, 165

  visual metaphors, 168–71, 171, 175, 181, 182, 255, 258

  working memory, 15, 41, 42, 42–43, 47, 64, 64, 65, 119, 121, 122, 157, 179, 186, 187

  writing by hand, 173, 177, 178, 181

  See also chunking; creativity and learning; math and science, learning

  memory palace technique, 160–63, 161, 164, 165

  memory traces, 53–54, 54, 58, 68, 69, 79, 185

  Men of Mathematics (Bell), 223–24

  mental contrasting technique, 99–100, 108, 258

  mentors, value of, 216–18, 221

  “metabolic vampires,” 172, 172, 174

  metaphors

  memory, 168–71, 171, 175, 181, 182, 255, 258

  sculpting your brain, 198–99, 258

  See also specific metaphors

  Microsoft, 144–45

  microtasks, 148

  mimicking solutions, avoiding, 77–78

  mindfulness and test taking, 245

  mind’s eye, developing through equation poems, 201–12

  “Mind Well” initiative, UCLA, 49

  mineral hardness scale, 160

  mini-testing, chunking, 119–20

  MIT, 134

  Miyoshi, Dina, 178

  mnemonics, 160, 175–76

  “mobile” phone invention, 112

  monkeys in a benzene ring, 171, 171

  months (thirty-one days), 159, 159

  mornings and recall, 165, 182

  motivating technique (mental contrasting), 99–100, 108, 258

  multiple-choice tests, 246

  multitasking caution, 106, 108, 211, 212

  muscle memory, 173, 177, 178–79, 181, 182

  musicians, 116

  myelin sheaths, 195

  names of people, memory, 174

  negative feelings, dealing with, 127, 139, 140

  negative self-talk, 250

  neural structures, building

  chunking, 52–53, 53, 54, 54–55, 67, 67, 68, 69, 71, 78, 93, 113, 121

 
creativity and learning, 32, 38, 38, 45, 46

  easy does it, 11, 14–15, 16, 18, 24

  memory, 159, 161, 162, 170, 173, 179, 182

  sculpting your brain, 195–96, 197, 198

  See also brain

  neurological cravings, 93, 98

  New Habit, The (Fiore), 129

  Newman, Forrest, 102, 157

  Newport, Cal, 134

  Newton’s second law, 158, 158, 159, 172, 204

  New York Times, 223

  nightly, creating to-do list, 130, 131, 152

  Nobel Prize winners, 194, 202, 206, 207, 219, 252

  Noble Savages (Chagnon), 223

  Noesner, Gary, 147

  Nolta, Kathleen, 208

  “not my fault,” 151–52, 153, 154

  Noui-Mehidi, Nadia, 27, 27–28

  “Now You Try!” challenges, 11, 23, 23, 24–25, 33, 39, 41, 44, 65, 68, 101, 107, 121, 135, 141, 152, 162, 175, 181, 209, 221

  numbers, associating with events, 175

  Oakley, Barbara, xix–xx, 1–8, 3

  See also math and science, learning

  “obvious,” struggling with, 219–20, 221–22

  occipital lobe, 52

  “Oh, Them Golden Slippers,” 163

  opiate receptors, 216

  organization and chunking, 73, 118–19

  Orrell, Mike, 100, 117

  overconfidence, avoiding, 20, 225–37, 247, 248, 254

  overlearning vs. interleaving, 74, 74–78, 113, 173

  panic, 103–4, 244–46, 248, 250–51

  paradoxes of learning, 41, 255

  Pariseau, Michael, 130

  passion, following your, 147–48, 154

  passive repetition, 119

  pause and recall, 26, 79, 90, 108, 122, 140, 153, 165, 182, 190, 199, 212, 222, 234, 249, 257, 260

  pause and reflect (wise waiting), 146–48, 154

  Pavri, Vera, 177

  persistence vs. intelligence, 101, 213–14, 221, 255

  personalizing study material, 205–7, 206, 207, 208, 211, 212, 214–15

  Pert, Candace, 215–16

  photon, 206, 206

  “picture walking,” 11, 61, 61, 81, 113, 260

  Pietro, William, 176

  pinball metaphor, 13, 13–16, 15, 16–17, 18

  planner-journal, 130–37, 131, 140, 149, 152

  Plath, Sylvia, 201, 202

  “playtime” planning, 132, 134, 140

  Ploughman, Elizabeth, 128

  poetry and mathematics, 202–5, 211

  Pomodoro technique, 24–25, 97, 99, 103, 103–7, 104, 108, 132, 138, 149, 151, 151, 253, 258

  Porter, Mark, 189

  Power of Habit, The (Duhigg), 93

  power of teamwork (avoiding overconfidence), 20, 225–37, 247, 248, 254

  practice makes permanent, 68–72, 69, 74, 74, 78, 82, 120, 188, 257–58, 259

  practice tests, 246, 250

  prefrontal cortex, 12, 12, 14–15, 187

 

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