One of the central roles of physics education is the development of students' ability to evaluate proposed hypotheses and models. This ability is important not just for students' understanding of physics but also to prepare students for future learning beyond physics. In particular, it is often hoped that students will better understand the manner in which physicists leverage the availability of prior knowledge to guide and constrain the construction of new knowledge. Here, we discuss how the use of Bayes' Theorem to update the estimated likelihood of hypotheses and models can help achieve these educational goals through its integration with evaluative activities that use hypothetico-deductive reasoning. Several types of classroom and laboratory activities are presented that engage students in the practice of Bayesian likelihood updating on the basis of either consistency with experimental data or consistency with pre-established principles and models. This approach is sufficiently simple for introductory physics students while offering a robust mechanism to guide relatively sophisticated student reflection concerning models, hypotheses, and problem-solutions. A quasi-experimental study utilizing algebra-based introductory courses is presented to assess the impact of these activities on student epistemological development. The results indicate gains on the Epistemological Beliefs Assessment for Physical Science (EBAPS) at a minimal cost of class-time.

1.
R. W.
Bybee
and
B.
Fuchs
, “
Preparing the 21st century workforce: A new reform in science and technology education
,”
J. Res. Sci. Teach.
43
(
4
),
349
352
(
2006
).
2.
R.
Gott
,
S.
Duggan
, and
P.
Johnson
, “
What do practicing applied scientists do and what are the implications for science education?
,”
Res. Sci. Technol. Educ.
17
,
97
107
(
1999
).
3.
E.
Lottero-Perdue
and
N. W.
Brickhouse
, “
Learning on the job: The acquisition of scientific competence
,”
Sci. Educ.
86
,
756
782
(
2002
).
4.
S.
Duggan
and
R.
Gott
, “
What sort of science education do we really need?
,”
Int. J. Sci. Educ.
24
,
661
679
(
2002
).
5.
National Academy of Engineering
,
Educating the Engineer of 2020: Adapting Engineering Education to the New Century
(
The National Academies Press
,
Washington, DC
,
2005
).
6.
E. F.
Redish
,
J. M.
Saul
, and
R. N.
Steinberg
, “
Student expectations in introductory physics
,”
Am. J. Phys.
66
,
212
224
(
1998
).
7.
M.
Sahin
, “
Effects of problem-based learning on university students' epistemological beliefs about physics and physics learning and conceptual understanding of Newtonian mechanics
,”
J. Sci. Educ. Technol.
19
,
266
275
(
2010
).
8.
A. R.
Warren
, “
Impact of teaching students to use evaluation strategies
,”
Phys. Rev. Spec. Top.-Phys. Educ. Res.
6
,
020103
(
2010
).
9.
A. R.
Warren
, Ph.D. dissertation, Rutgers University,
2006
.
10.
R.
Lippmann
, Ph.D. dissertation, University of Maryland,
2003
.
11.
A.
Karelina
and
E.
Etkina
, “
Acting like a physicist: Student approach study to experiment design
,”
Phys. Rev. Spec. Top.-Phys. Educ. Res.
3
,
020106
(
2007
).
12.
W. K.
Adams
,
K. K.
Perkins
,
N. S.
Podelefsky
,
M.
Dubson
,
N. D.
Finkelstein
, and
C. E.
Wieman
, “
New instrument for measuring students beliefs about physics and learning physics: The Colorado Learning Attitudes about Science Survey
,”
Phys. Rev. Spec. Top.-Phys. Educ. Res.
2
,
010101
(
2006
).
13.
A.
Madsen
,
S. B.
McKagan
, and
E. C.
Sayre
, “
How physics instruction impacts students' beliefs about learning physics
,”
Phys. Rev. Spec. Top.-Phys. Educ. Res.
11
,
010115
(
2015
).
14.
B. A.
Lindsey
,
L.
Hsu
,
H.
Sadaghiani
,
J. W.
Taylor
, and
K.
Cummings
, “
Positive attitudinal shifts with the physics by inquiry curriculum across multiple implementations
,”
Phys. Rev. Spec. Top.-Phys. Educ. Res.
6
,
010102
(
2012
).
15.
V.
Otero
and
K.
Gray
, “
Attitudinal gains across multiple universities using the physics and everyday thinking curriculum
,”
Phys. Rev. Spec. Top.-Phys. Educ. Res.
4
,
020104
(
2008
).
16.
D.
Hestenes
, “
Toward a modeling theory of physics instruction
,”
Am. J. Phys.
55
,
440
454
(
1987
).
17.
D.
Hestenes
,
C.
Megowan-Romanowicz
,
S.
Osborn Popp
,
J.
Jackson
, and
R.
Culbertson
, “
A graduate program for high school physics and physical science teachers
,”
Am. J. Phys.
79
(
9
),
971
979
(
2011
).
18.
E.
Brewe
,
L.
Kramer
, and
G.
O'Brien
, “
Modeling instruction: Positive attitudinal shifts in introductory physics measured with CLASS
,”
Phys. Rev. Spec. Top.-Phys. Educ. Res.
5
,
013102
(
2009
).
19.
E.
Etkina
and
A.
Van Heuvelen
, “
Investigative science learning environment
,” in
Forum on Education of the American Physical Society
, Spring issue (
2004
), pp.
12
14
.
20.
E.
Etkina
,
A.
Van Heuvelen
,
S.
White-Brahmia
,
D. T.
Brookes
,
M.
Gentile
,
S.
Murthy
,
D.
Rosengrant
, and
A.
Warren
, “
Scientific abilities and their assessment
,”
Phys. Rev. Spec. Top.-Phys. Educ. Res.
2
,
020103
(
2006
).
21.
A.
Elby
, “
Helping physics students learn how to learn
,”
Am. J. Phys., Phys. Educ. Supp.
69
(
7
),
S54
S64
(
2001
).
22.
E. F.
Redish
and
D.
Hammer
, “
Reinventing college physics for biologists: Explicating and epistemological curriculum
,”
Am. J. Phys.
77
(
629
),
629
642
(
2009
).
23.
A. E.
Lawson
, “
The generality of hypothetico-deductive reasoning
,”
Am. Biol. Teach.
62
(
7
),
482
495
(
2000
).
24.
A. E.
Lawson
,
The Neurological Basis of Learning, Development and Discovery: Implications for Science and Mathematics Instruction
(
Kluwer Academic Publishers
,
New York
,
2003
).
25.
E.
Etkina
,
A.
Warren
, and
M.
Gentile
, “
The role of models in physics instruction
,”
Phys. Teach.
44
(
1
),
34
39
(
2006
).
26.
R.
Dawid
,
String Theory and the Scientific Method
(
Cambridge
U. P.
, UK,
2013
).
27.
J.
Brownlee
,
S.
Walker
,
S.
Lennox
,
B.
Exley
, and
S.
Pearce
, “
The first year university experience: Using personal epistemology to understand effective learning and teaching in higher education
,”
High. Educ.
58
(
5
),
599
618
(
2009
).
28.
D.
Sivia
and
J.
Skilling
,
Data Analysis: A Bayesian Tutorial
, 2nd ed. (
Oxford U P
,
Oxford
,
2006
).
29.
B. P.
Abbot
 et al, “
Observation of gravitational waves from a binary black hole merger
,”
Phys. Rev. Lett.
116
,
061102
(
2016
).
30.
R. E.
Kass
and
A. E.
Raftery
, “
Bayes factors
,”
J. Am. Stat. Assoc.
90
(
430
),
773
795
(
1995
).
31.
A.
Elby
,
J.
Fredriksen
,
C.
Schwartz
, and
B.
White
, “
Epistemological beliefs assessment for physics science
,” <http://www2.physics.umd.edu/elby/EBAPS/home.htm>.
32.
E.
Etkina
,
M.
Gentile
, and
A.
Van Heuvelen
,
College Physics
, 1st ed. (
Pearson
,
Boston
,
2014
).
33.
J. K.
Kruschke
, “
Bayesian estimation supersedes the t test
,”
J. Exp. Psychol.
142
(
2
),
573
603
(
2013
).
34.
R. J.
Little
and
D. B.
Rubin
,
Statistical Analysis with Missing Data
, 2nd ed. (
Wiley
,
Canada
,
2002
).
35.
N. J.
Horton
and
K. P.
Kleinman
, “
Much ado about nothing: A comparison of missing data methods and software to fit incomplete data regression models
,”
Am. Stat.
61
(
1
),
79
90
(
2007
).
36.
I. R.
White
,
P.
Royston
, and
A. M.
Wood
, “
Multiple imputation using chained equations: Issues and guidance for practice
,”
Stat. Med.
30
(
4
),
377
399
(
2011
).
37.
S.
van Buuren
and
K.
Groothuis-Oudshoorn
, “
mice: Multivariate imputation by chained equations in R
,”
J. Stat. Software
45
(
3
),
1
67
(
2011
).
38.
A.
Gelman
,
J.
Hill
, and
M.
Yajima
, “
Why we (usually) don't have to worry about multiple comparisons
,”
J. Res. Educ. Eff.
5
(
2
),
189
211
(
2012
).
39.
P. M.
King
and
K. S.
Kitchener
,
Developing Reflective Judgment: Understanding and Promoting Intellectual Growth and Critical Thinking in Adolescents and Adults
(
Jossey-Bass
,
San Francisco
,
1994
).
40.
P. M.
King
and
K. S.
Kitchener
, “
Reflective judgment: Theory and research on the development of epistemic assumptions through adulthood
,”
Educ. Psychol.
39
(
1
),
5
18
(
2004
).
41.
L.
Kost
,
S.
Pollock
, and
N.
Finkelstein
, “
Characterizing the gender gap in introductory physics
,”
Phys. Rev. Spec. Top.-Phys. Educ. Res.
5
,
010101
(
2009
).
42.
J. M.
Nissen
and
J. T.
Shemwell
, “
Gender, experience, and self-efficacy in introductory physics
,”
Phys. Rev. Phys. Educ. Res.
12
,
020105
(
2016
).
43.
E.
Etkina
,
S.
Murthy
, and
X.
Zou
, “
Using introductory labs to engage students in experimental design
,”
Am. J. Phys.
74
(
11
),
979
986
(
2006
).
44.
J. A.
Kaminsky
,
V. M.
Sloutsky
, and
A. F.
Heckler
, “
The cost of concreteness: The effect of nonessential information on analogical transfer
,”
J. Exp. Psychol.
19
(
1
),
14
29
(
2013
).
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