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1

Rowan, Garnier, ed. Understanding mathematical proof. Taylor & Francis, 2014.

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2

Klenk, Virginia. Understanding symbolic logic. 3rd ed. Prentice Hall, 1994.

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3

Klenk, Virginia. Understanding symbolic logic. 3rd ed. Prentice Hall, 1994.

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4

Robinson, Katherine M., Adam K. Dubé, and Donna Kotsopoulos, eds. Mathematical Cognition and Understanding. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-29195-1.

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5

Sokolowski, Andrzej. Understanding Physics Using Mathematical Reasoning. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-80205-9.

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Dhurandhar, Sanjeev. Understanding Mathematical Concepts in Physics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-60394-5.

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7

Klenk, Virginia. Understanding symbolic logic. 2nd ed. Prentice Hall, 1989.

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8

Stefan, Ma, and Xia Yingcun, eds. Mathematical Understanding of Infectious Disease Dynamics. World Scientific Pub Co, 2009.

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9

Pat, Jones. Building permanent mathematical understanding: Sixth grade. Charism, CPR, LLC, 2004.

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10

Jones, Pat. Building permanent mathematical understanding: Fifth grade. Charism, CPR, LLC, 2004.

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11

Stefan, Ma, and Xia Yingcun, eds. Mathematical understanding of infectious disease dynamics. World Scientific Pub Co, 2009.

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12

Damrau, Milena. Understanding the Generality of Mathematical Statements. Springer Fachmedien Wiesbaden, 2023. http://dx.doi.org/10.1007/978-3-658-43763-3.

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13

1960-, Heesterbeek Hans, and Britton Tom, eds. Mathematical tools for understanding infectious diseases. Princeton University Press, 2013.

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14

Zorn, Paul. Understanding real analysis. A K Peters, 2010.

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15

Zorn, Paul. Understanding real analysis. A K Peters, 2010.

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16

Taylor-Butler, Christine. Understanding charts and graphs. Children's Press, 2012.

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17

Tijms, Henk. Understanding Probability: Chance Rules in Everyday Life. 2nd ed. Cambridge University Press, 2007.

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18

Halvorson, Hans. Deep beauty: Understanding the quantum world through mathematical innovation. Cambridge University Press, 2011.

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19

Seymour-Smith, Leonard. Understanding and making effective use of statistics: Checklist & guide. Management Update, 1985.

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20

Evans, Martin D. D. Understanding order flow. National Bureau of Economic Research, 2005.

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21

Pellillo, Brase Corrinne, ed. Understanding basic statistics. 6th ed. Brooks/Cole Cengage Learning, 2013.

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22

Dworsky, Lawrence N. Understanding the Mathematics of Personal Finance. John Wiley & Sons, Ltd., 2009.

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23

N, Dworsky Lawrence. Understanding the mathematics of personal finance. Wiley, 2009.

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24

Rodda, Harvey J. E., and Max A. Little. Understanding Mathematical and Statistical Techniques in Hydrology. John Wiley & Sons, Ltd, 2015. http://dx.doi.org/10.1002/9781119077985.

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25

Taylor, John, and Rowan Garnier. Understanding Mathematical Proof. Chapman and Hall/CRC, 2016. http://dx.doi.org/10.1201/b16620.

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26

Taylor, John. Understanding Mathematical Proof. Taylor & Francis Group, 2016.

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27

Taylor, John. Understanding Mathematical Proof. Taylor & Francis Group, 2018.

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28

Garnier, Rowan, and John Taylor. Understanding Mathematical Proof. Taylor & Francis Group, 2016.

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29

Garnier, Rowan, and John Taylor. Understanding Mathematical Proof. Taylor & Francis Group, 2014.

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30

Garnier, Rowan, and John Taylor. Understanding Mathematical Proof. Taylor & Francis Group, 2016.

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31

Understanding symbolic logic. 2nd ed. Prentice Hall, 1989.

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32

Understanding symbolic logic. Custom Publishing, a division of Pearson, 2008.

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33

Markosian and Virginia Klenk. Understanding Symbolic Logic. 3rd ed. Prentice Hall, 2001.

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34

Tijms, Henk. Understanding Probability. Cambridge University Press, 2012.

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35

Tijms, Henk. Understanding Probability. Cambridge University Press, 2012.

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36

Tijms, Henk. Understanding Probability. Cambridge University Press, 2012.

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37

Tijms, Henk. Understanding Probability. Cambridge University Press, 2012.

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38

Strevens, Michael. The Mathematical Route to Causal Understanding. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198777946.003.0006.

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Abstract:
In some scientific explanations, mathematical facts seem to be the primary bearers of enlightenment. Is this a case, in science, of “explanation beyond causation”? Might these explanations be causal only in part, or only in an auxiliary way, or not at all? To answer this question, this chapter examines some well-known examples of explanations that seem to operate largely or wholly through mathematical proof. It is concluded that the mathematical and the causal components of these explanations are complementary rather than rivalrous: the function of the mathematics is to help the explanations’
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39

Cotton, Tony. Teaching for Mathematical Understanding. Routledge, 2016. http://dx.doi.org/10.4324/9781315695556.

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40

Understanding Symbolic Logic (5th Edition). Prentice Hall, 2007.

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41

Klenk, Virginia. Understanding Symbolic Logic (5th Edition). 5th ed. Prentice Hall, 2007.

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42

Klenk, Virginia. Understanding Symbolic Logic (4th Edition). 4th ed. Prentice Hall, 2001.

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43

Understanding Symbolic Logic (4th Edition). Prentice Hall, 2001.

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44

Lindley, Dennis V. Understanding Uncertainty. Wiley & Sons, Incorporated, John, 2006.

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45

Lindley, Dennis V. Understanding Uncertainty. Wiley & Sons, Incorporated, John, 2013.

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46

Lindley, Dennis V. Understanding Uncertainty. Wiley & Sons, Incorporated, John, 2013.

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47

Lindley, Dennis V. Understanding Uncertainty. Wiley-Interscience, 2006.

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48

Lindley, Dennis V. Understanding Uncertainty. Wiley & Sons, Incorporated, John, 2013.

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49

Lindley, Dennis V. Understanding Uncertainty. Wiley & Sons, Limited, John, 2014.

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50

Lindley, Dennis V. Understanding Uncertainty. Wiley & Sons, Incorporated, John, 2013.

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