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1

Davis, Alexandra. "How many bees? How many flies?" Teaching Children Mathematics 18, no. 3 (2011): 208. http://dx.doi.org/10.5951/teacchilmath.18.3.0208.

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Descriptive narratives and teacher reflections highlight children's mathematical thinking and learning. Watching children's actions and gestures, as well as listening to their mathematical conversations as they work, gives adults insight about interesting strategies, alternative representations, and sources of difficulty.
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2

Dunne, Melissa. "How Many Dogs? How Many Chickens?" Teaching Children Mathematics 19, no. 5 (2012): 336. http://dx.doi.org/10.5951/teacchilmath.19.5.0336.

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Students say some amazing things. Back Talk highlights the learning of one or two students and their approach to solving a math problem. Each article includes the prompt used to initiate the discussion, a portion of dialogue, student work samples (when applicable), and teacher insights into the mathematical thinking of students. This article describes the thought processes of two third-grade students who were given a problem involving finding the number of dogs and chickens on a farm when they know only the total number of legs. Their solution strategies include standard mathematical operations as well as pictorial representations.
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3

Hoffman, Julien I. E. "How Many Patients? How Many Doctors?" Circulation 122, no. 22 (2010): 2231–33. http://dx.doi.org/10.1161/circulationaha.110.989350.

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4

Eggleton, P. "C1q—how many functions? How many receptors?" Trends in Cell Biology 8, no. 11 (1998): 428–31. http://dx.doi.org/10.1016/s0962-8924(98)01373-7.

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5

Bratton, Susan Power. "How Many is Too Many?" Environmental Ethics 39, no. 3 (2017): 349–52. http://dx.doi.org/10.5840/enviroethics201739326.

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6

Hyman, William A. "How Many Is Too Many?" Biomedical Safety & Standards 49, no. 19 (2019): 145–46. http://dx.doi.org/10.1097/01.bmsas.0000604084.29673.0d.

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7

Hoffbuhr, Jack W. "How Many is Too Many?" Journal - American Water Works Association 99, no. 2 (2007): 6. http://dx.doi.org/10.1002/j.1551-8833.2007.tb07874.x.

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8

Fleming, Gemma, and John Eagles. "How many is too many?" Psychiatrist 34, no. 11 (2010): 497. http://dx.doi.org/10.1192/pb.34.11.497b.

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9

COHEN, MICHAEL R. "How many are too many?" Nursing 32, no. 7 (2002): 20. http://dx.doi.org/10.1097/00152193-200207000-00017.

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10

Biesecker, Leslie G. "Polydactyly: How many disorders and how many genes?" American Journal of Medical Genetics 112, no. 3 (2002): 279–83. http://dx.doi.org/10.1002/ajmg.10779.

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11

Burkle, Joseph S. "How Many Authors Are Too Many?" Annals of Internal Medicine 112, no. 2 (1990): 150. http://dx.doi.org/10.7326/0003-4819-112-2-150_2.

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12

Mason, Diana J. "How Many Patients Are Too Many?" AJN, American Journal of Nursing 103, no. 11 (2003): 7. http://dx.doi.org/10.1097/00000446-200311000-00001.

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13

Iverson, Deanna K. "How Many Slides Are Too Many?" Laboratory Medicine 28, no. 1 (1997): 25–26. http://dx.doi.org/10.1093/labmed/28.1.25.

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14

Geller, Jeffrey L. "How Many Authors Is Too Many?" Psychiatric Services 63, no. 3 (2012): 293. http://dx.doi.org/10.1176/appi.ps.20120p293.

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15

&NA;. "How Many Attendees Are Too Many?" Oncology Times 24, no. 9 (2002): 25. http://dx.doi.org/10.1097/01.cot.0000289207.62398.1b.

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16

Meldolesi, Jacopo, Karl-Heiz Krause, and Marek Michalakz. "Calreticulin: how many functions in how many cellular compartments?" Cell Calcium 20, no. 1 (1996): 83–86. http://dx.doi.org/10.1016/s0143-4160(96)90053-6.

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17

Dobson, A., K. D. Lafferty, A. M. Kuris, R. F. Hechinger, and W. Jetz. "Homage to Linnaeus: How many parasites? How many hosts?" Proceedings of the National Academy of Sciences 105, Supplement 1 (2008): 11482–89. http://dx.doi.org/10.1073/pnas.0803232105.

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18

Beimesch, Claire F., Kevin Walker, Caitlin Wahl, and Jeanie McGee. "Trampolines: How Many Bounces Is Too Many?" Pediatrics 137, Supplement 3 (2016): 48A. http://dx.doi.org/10.1542/peds.137.supplement_3.48a.

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19

Hughes, Bob. "How Many People Are Enough (Too Many)?" Fisheries 39, no. 3 (2014): 99. http://dx.doi.org/10.1080/03632415.2014.883970.

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20

Gao, Grace Xingxin, and Per Enge. "How Many GNSS Satellites are Too Many?" IEEE Transactions on Aerospace and Electronic Systems 48, no. 4 (2012): 2865–74. http://dx.doi.org/10.1109/taes.2012.6324666.

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21

Kerr, D. S., and W. C. Abraham. "LTD: Many means to how many ends?" Hippocampus 6, no. 1 (1996): 30–34. http://dx.doi.org/10.1002/(sici)1098-1063(1996)6:1<30::aid-hipo6>3.0.co;2-b.

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22

Vasiljevic, Vera. "How Many Porters?" Ägypten und Levante 25 (2016): 509–36. http://dx.doi.org/10.1553/aeundl25s509.

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23

Perkins, Annie, and Christy Pettis. "How Many Ways?" Mathematics Teaching in the Middle School 23, no. 6 (2018): 310. http://dx.doi.org/10.5951/mathteacmiddscho.23.6.0310.

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24

Thornton, Bill. "How Many Saguaros." Cactus and Succulent Journal 80, no. 4 (2008): 160–69. http://dx.doi.org/10.2985/0007-9367(2008)80[160:hms]2.0.co;2.

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25

Ehrlich, Anne H., Paul R. Ehrlich, Pamela Matson, Peter Vitousek, and Marjorie Anchel. "How Many Creatures?" BioScience 37, no. 4 (1987): 246–47. http://dx.doi.org/10.2307/1310583.

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26

Moser, James M. "How Many Triangles?" Mathematics Teacher 78, no. 8 (1985): 598–604. http://dx.doi.org/10.5951/mt.78.8.0598.

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Because the statement of the problem has a very appealing simplicity—it is very succinct, lacks nuances and tricky conditions, and is easy to understand—one might assume that the solution would be equally forthright and clear.
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27

OKUNO, KOKO. "HOW MANY CATS?" ENGLISH LINGUISTICS 3 (1986): 226–30. http://dx.doi.org/10.9793/elsj1984.3.226.

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28

Blair, Ed, Helena Chmura Kraemer, and Sue Thiemann. "How Many Subjects?" Journal of Marketing Research 26, no. 2 (1989): 248. http://dx.doi.org/10.2307/3172615.

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29

Phillips, N. Christopher. "How Many Exponentials?" American Journal of Mathematics 116, no. 6 (1994): 1513. http://dx.doi.org/10.2307/2375057.

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30

Battista, Michael T. "How Many Blocks?" Mathematics Teaching in the Middle School 3, no. 6 (1998): 404–11. http://dx.doi.org/10.5951/mtms.3.6.0404.

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Fifth graders ben and Jessica were trying to determine the amount of space contained in their classroom. They chose as their unit of measure the 9-inch-by-9-inch-by-18-inch concrete block that had been used to construct the classroom walls. Because other students in the class had mentioned this idea, the teacher had previously brought an actual block into the classroom so that students could see all three of its dimensions. To find the number of blocks in the horizontal layer that covered the floor, they counted the blocks that occurred lengthwise in each of two adjacent walls and multiplied. They then multiplied that product by the number of blocks showing in the height of the room. For example, for a small room, such as in figure 1, they would have multiplied 3 times 3, for the floor; times 5, for the height; and claimed that 45 blocks fill the room.
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31

Yagi, Seanyelle, and Melfried Olson. "How Many Ways." Teaching Children Mathematics 13, no. 9 (2007): 480–81. http://dx.doi.org/10.5951/tcm.13.9.0480.

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“Math by the Month” activities are designed to engage students to think as mathematicians do. Students may work on the activities individually or in small groups, or the whole class may use these as problems of the week. Because no solutions are suggested, students will look to themselves for mathematical justification, thereby developing the confidence to validate their work.
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32

Kastberg, Signe E. "How Many Legs?" Teaching Children Mathematics 21, no. 9 (2015): 524–27. http://dx.doi.org/10.5951/teacchilmath.21.9.0524.

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Problem solving in the early grades draws from children's fantasy and imagination informed by early adventures in reading and life (Paley 1986). The richness of their insights coupled with newly created structures for reasoning quantitatively create opportunities for teachers and children to communicate what they “see” in images often not considered as mathematical problems. Such is the case with the illustration from Charlotte's Web (White 1952, p. 21) that captures the chaos of Lurvy, a farm hand, trying to catch the lovable pig Wilbur after he escapes into the barnyard. Legs are everywhere and, as other animals look on, Wilber continues to evade Lurvy. But how many legs are there?
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33

Crystal, David. "How many words?" English Today 3, no. 4 (1987): 11–14. http://dx.doi.org/10.1017/s0266078400003023.

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34

BORMAN, STU. "How Many Genes?" Chemical & Engineering News 78, no. 22 (2000): 14. http://dx.doi.org/10.1021/cen-v078n022.p014.

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35

Krakoff, Lawrence R. "How Many Measurements?" American Journal of Hypertension 32, no. 4 (2019): 327–28. http://dx.doi.org/10.1093/ajh/hpz002.

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36

Keirse, Marc J. N. C., and Frans M. Helmerhorst. "How many eggs?" BMJ 329, no. 7461 (2004): 302–3. http://dx.doi.org/10.1136/bmj.329.7461.302.

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37

Hewson, Claire. "How many spiders?" Practical Pre-School 2017, Sup193 (2017): 11–12. http://dx.doi.org/10.12968/prps.2017.sup193.11.

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38

Taylor, Sven. "How many times?" New Scientist 205, no. 2743 (2010): 23. http://dx.doi.org/10.1016/s0262-4079(10)60117-0.

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39

Rollin, A. M. "How many authors?" Anaesthesia 49, no. 2 (1994): 97–98. http://dx.doi.org/10.1111/j.1365-2044.1994.tb03361.x.

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40

Nelson, Alan. "How Many Worlds?" British Journal for the History of Philosophy 19, no. 6 (2011): 1201–12. http://dx.doi.org/10.1080/09608788.2011.624719.

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41

Evans, James T. "How Many Authors…?" Southern Medical Journal 85, no. 10 (1992): 1036–37. http://dx.doi.org/10.1097/00007611-199210000-00033.

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42

Eibel, Philip. "How Many Authors…?" Southern Medical Journal 85, no. 10 (1992): 1037. http://dx.doi.org/10.1097/00007611-199210000-00034.

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43

Fishman, RachelleH B. "How many Palestinians?" Lancet 345, no. 8952 (1995): 784. http://dx.doi.org/10.1016/s0140-6736(95)90656-8.

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44

McCullagh, Peter, and Jie Yang. "How many clusters?" Bayesian Analysis 3, no. 1 (2008): 101–20. http://dx.doi.org/10.1214/08-ba304.

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45

Valancius, Vytautas, Cristian Lumezanu, Nick Feamster, Ramesh Johari, and Vijay V. Vazirani. "How many tiers?" ACM SIGCOMM Computer Communication Review 41, no. 4 (2011): 194–205. http://dx.doi.org/10.1145/2043164.2018459.

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46

Menken, M. "How many neurologists?" Neurology 42, no. 8 (1992): 1645. http://dx.doi.org/10.1212/wnl.42.8.1645-b.

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47

Ringel, S. P. "How many neurologists?" Neurology 42, no. 8 (1992): 1645. http://dx.doi.org/10.1212/wnl.42.8.1645-c.

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48

Talan, Jamie. "Quick, How Many?" Scientific American Mind 17, no. 3 (2006): 7. http://dx.doi.org/10.1038/scientificamericanmind0606-7b.

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49

Narramore, Terry. "How Many Chinas?" Australian Journal of Political Science 45, no. 3 (2010): 507–12. http://dx.doi.org/10.1080/10361146.2010.499607.

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50

Farnum, Nicholas R., and LaVerne W. Stanton. "How Many Regressions?" Teaching Statistics 11, no. 3 (1989): 81–82. http://dx.doi.org/10.1111/j.1467-9639.1989.tb00068.x.

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