In introductory physics labs, a challenge arises when students are asked to measure a well-known quantity, such as the free fall acceleration, g. Students often don't perform a proper error analysis if they already know the correct answer, and their result is “close enough.” Masking, or disguising the correct answer, as is often done in nuclear and particle physics research, encourages students to be more careful. In this paper, we introduce a new unit of measurement; in these units, students don't know what the value of g should be, leading to a more engaging and authentic scientific experience. Additionally, we instituted a mock “conference” in which students settled on a consensus value of g in this new system of units. When students quantitatively compare their measurements of an unknown quantity, it motivates them to perform a detailed error analysis. Student feedback on this reformed lab was largely positive.

1.
N. G.
Holmes
and
C. E.
Wieman
, “
Introductory physics labs: We can do better
,”
Phys. Today
71
(
1
),
38
45
(
2018
).
2.
E. M.
Smith
and
N. G.
Holmes
, “
Best practice for instructional labs
,”
Nat. Phys.
17
(
6
),
662
663
(
2021
).
3.
A. R.
Carter
, “
One hundred years later, introductory labs are poised for change
,”
Phys. Teach.
59
(
2
),
97
99
(
2021
).
4.
E. M.
Smith
,
M. M.
Stein
, and
N. G.
Holmes
, “
How expectations of confirmation influence students' experimentation decisions in introductory labs
,”
Phys. Rev. Phys. Educ. Res.
16
(
1
),
010113
(
2020
).
5.
D.
MacIsaac
, “
Report: AAPT recommendations for the undergraduate physics laboratory curriculum
,”
Phys. Teach.
53
(
4
),
253
253
(
2015
).
6.
The term “blind” is still used in some research literature. However, we choose not to use a word that means a lack of visual acuity to imply a lack of knowledge.
7.
Masking (sometimes called “blinding”) is a common technique used in nuclear and particle physics to reduce confirmation bias. In Ref. 10, for example, data from numerical simulations are scaled by a factor close to one, to hide the true value of the physical quantity of interest throughout the analysis. Only when the analysis has been completed with various cross checks, do they reveal the scaling factor to then quote a final number that can be compared with experimental numbers. Note this is different than how this term is used in clinical trials of a new drug. In that case, the participants involved in the trials (as well as which participants receive the drug and which receive a placebo) are concealed from the researchers to avoid bias.
8.
J. R.
Klein
and
A.
Roodman
, “
Blind analysis in nuclear and particle physics
,”
Annu. Rev. Nucl. Part. Sci.
55
(
1
),
141
163
(
2005
).
9.
R.
MacCoun
and
S.
Perlmutter
, “
Blind analysis: Hide results to seek the truth
,”
Nature
526
(
7572
),
187
189
(
2015
).
10.
C. T. H.
Davies
,
C.
DeTar
,
A. X.
El-Khadra
,
Steven
Gottlieb
,
D.
Hatton
,
A. S.
Kronfeld
,
S.
Lahert
,
G. P.
Lepage
,
C.
McNeile
,
E. T.
Neil
,
C. T.
Peterson
,
G. S.
Ray
,
R. S.
Van de Water
,
A.
Vaquero
,
Fermilab Lattice, HPQCD, and MILC Collaborations
, “
Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
,”
Phys. Rev. D
106
(
7
),
074509
(
2022
).
11.
This is named after one of the authors, to create a lighter mood in the lab, as the professor figured this was the only way he could have a unit named after him.
12.
See the supplementary material online, which describes the in-house construction of the rulers we used.
13.
J. R.
Taylor
,
An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements
(
University Science Books
,
New York
,
2022
).
14.
The first lab of the semester worked through this and other error analysis techniques. The goal of that lab was not to derive the relevant expressions but have the students work through examples to motivate how the results make sense to be able to apply them in later labs.
15.
P. K.
Natasha Holmes
,
Emily
Smith
, and
M.
Lory-Moran
, see https://www.physport.org/curricula/thinkingcritically/ for “
Thinking Critically in Physics Labs
.”
16.
C.
Moskovitz
and
D.
Kellogg
, “
Inquiry-based writing in the laboratory course
,”
Science
332
(
6032
),
919
920
(
2011
).
17.
N. G.
Holmes
and
D. A.
Bonn
, “
Quantitative comparisons to promote inquiry in the introductory physics lab
,”
Phys. Teach.
53
(
6
),
352
355
(
2015
).
18.
In the case of this lab, the students were introduced to the t′-score in the same lab where they studied uncertainties earlier in the semester, with some exercises to verify its validity.
19.
The smallest non-zero t′-score was 0.17. There were two central values that were identical, which led to a t′-score of 0. This could be avoided if the students kept more significant figures than is conventional, but it's not a serious concern for our purposes given that the t′-score would be well below 1 either way.
20.
These results are scaled values of what was actually obtained from the class; we don't wish to publish the value for the aubin! However, the relative uncertainties shown here are consistent with what was obtained in the lab.
21.
J. P.
Mason
et al “
Coronal heating as determined by the solar flare frequency distribution obtained by aggregating case studies
,”
Astrophys. J.
948
(
2
),
71
(
2023
).
22.
E.
Etkina
,
S.
Murthy
, and
X.
Zou
, “
Using introductory labs to engage students in experimental design
,”
Am. J. Phys.
74
(
11
),
979
986
(
2006
).
23.
C. H.
Crouch
and
E.
Mazur
, “
Peer instruction: Ten years of experience and results
,”
Am. J. Phys.
69
(
9
),
970
977
(
2001
).
24.
C.-L.
Zhang
,
Z.-Y.
Hou
,
Y.-C.
Si
,
X.-Q.
Wen
, and
L.
Tang
, “
Application of peer instruction in the laboratory task of measuring the effective mass of a spring
,”
Eur. J. Phys.
38
(
6
),
065705
(
2017
).
25.
At the end of the Conference day, several students asked if we would continue to use the aub sticks in upcoming labs and specifically asked if they could be updated on the results of future labs to see how the accepted value would improve. The students showed a genuine interest in what they did beyond just getting a result and moving on to the next experiment: They were interested in seeing how this new unit would develop.

Supplementary Material

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