arxiv: 2605.11568 · v1 · submitted 2026-05-12 · ⚛️ physics.ed-ph

Recognition: 2 theorem links

· Lean Theorem

The Gendered Cost of Lower Grades: Women's Physics Perceived Recognition and Identity Suffer Disproportionately If They Earn Less Than A Grade

Chandralekha Singh, Christian D. Schunn, Jaya Shivangani Kashyap

Pith reviewed 2026-05-13 01:53 UTC · model grok-4.3

classification ⚛️ physics.ed-ph

keywords physics educationgender differencesphysics identityperceived recognitioncourse gradesintroductory physicsmediation analysis

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The pith

Women in introductory physics lose more identity and recognition from grades below an A than men do.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper tracks changes in physics identity and perceived recognition before and after calculus-based Physics 1 across 1,681 students. Students who receive less than an A show average declines in both measures, with drops appearing even at a B grade and becoming steeper at lower grades. Shifts in perceived recognition fully explain the identity changes. Women display significantly larger drops than men when grades fall short of A, and this gender difference operates through perceived recognition rather than through any additional direct effect on identity.

Core claim

In three cohorts of university students, receiving less than an A grade produces declines in physics identity and perceived recognition; perceived recognition fully mediates the identity decline; women exhibit larger declines than men when earning below an A, with the gender moderation confined to perceived recognition.

What carries the argument

Perceived recognition as the full mediator between grade received and subsequent change in physics identity, with gender acting as a moderator of the grade-to-recognition link.

If this is right

Declines appear even with B grades and intensify nonlinearly for lower grades.
Perceived recognition accounts entirely for how grades affect identity.
Gender differences in the declines are localized to perceived recognition, with no extra direct gender effect on identity.
The pattern repeats across three separate cohorts of introductory physics students.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

Feedback practices around grades may need adjustment to limit unequal effects on women's physics identity.
Comparable grade-linked identity shifts could be checked in other introductory STEM courses.
Interventions aimed at sustaining perceived recognition might buffer identity losses for students of all genders.

Load-bearing premise

That the observed drops in self-reported identity and recognition are caused mainly by the grade itself rather than by unmeasured differences in prior interest, classroom experiences, or who chooses to enroll.

What would settle it

A controlled comparison that measures identity and recognition changes while holding prior interest and specific classroom experiences fixed, to test whether grade level alone still produces the reported declines and the gender difference.

read the original abstract

Perceptions of disciplinary recognition and identity can be shaped by various forms of feedback and experiences. Here we focus on the potential effects of course grades on the perceievd recognition and physics identity of students. We analyze patterns in changes in physics identity and perceived recognition from pre course to post course across three cohorts of university students enrolled in calculus-based Physics 1 (N=1,681). Students not receiving A grade, on average, showed declines in physics identity and perceived recognition. Even a B grade resulted in declines, and the declines were nonlinear across lower grades. Changes in perceived recognition fully mediated the changes in identity. Importantly, women showed significantly larger declines in identity and perceived recognition, compared to men, if they got less than A grade. The gender moderation was specifically localized to changes in perceived recognition, with no further gender effects on identity beyond the cascading effects on perceived recognition.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

Women show larger drops in physics identity from sub-A grades through perceived recognition, but the observational setup leaves causality open to other factors.

read the letter

The main result is straightforward: students who get less than an A see declines in physics identity and perceived recognition, with the drops bigger for women and fully mediated by the recognition piece. Even a B produces measurable decline, and the gender gap appears only in how recognition responds to the grade, not in any direct path to identity afterward. That mediation pattern and the specific gender moderation on sub-A grades are the clearest new pieces relative to earlier identity work in physics education research. The pre-post design across three cohorts and the total sample of 1681 students give the patterns some stability, and the focus on a single, modifiable classroom signal like grades is useful for people thinking about retention. The analysis stays empirical and avoids overclaiming mechanisms beyond what the survey tracks. The soft spot is the lack of random assignment or strong controls for selection. Grades correlate with prior interest, classroom experiences, study habits, and instructor feedback, any of which could drive both the final grade and the identity change without the grade itself being the active cause. The abstract does not detail the full set of covariates or robustness checks, so it is hard to judge how much those alternatives were ruled out. This paper is aimed at researchers who study physics identity, gender gaps in STEM persistence, and classroom practices that affect recognition. Readers working on interventions around grading or feedback would find the mediation result directly relevant. It deserves a serious referee because the sample size and the mediation claim are concrete enough to evaluate, even if the causal interpretation needs tightening. I would send it out for review with a request for more detail on controls and alternative explanations.

Referee Report

3 major / 2 minor

Summary. The paper analyzes pre- to post-course changes in physics identity and perceived recognition in a sample of N=1,681 students across three cohorts in calculus-based Physics 1. It reports that students receiving grades below A show average declines in both measures, with declines occurring even for B grades and appearing nonlinear for lower grades. Changes in perceived recognition fully mediate changes in identity. Women exhibit significantly larger declines than men when receiving less than an A, with the gender moderation effect localized to perceived recognition and no additional direct gender effects on identity.

Significance. If the reported patterns and mediation hold after addressing potential confounds, the findings would contribute to physics education research by documenting how course grades may differentially impact women's disciplinary identity and perceived recognition, with implications for understanding gender gaps in persistence. The large sample size and pre-post design are clear strengths that support the descriptive patterns, and the focus on mediation provides a mechanistic account that could be tested further.

major comments (3)

[Abstract and analysis description] The central claim of gender-moderated declines localized to perceived recognition when receiving <A rests on observational variation in grades. No details are provided on inclusion of covariates (e.g., prior interest, study habits, or instructor interactions) or robustness checks that would help isolate grade receipt as the operative driver rather than correlated unmeasured factors.
[Abstract] The statement that perceived recognition 'fully mediated' identity changes requires explicit reporting of the mediation model (e.g., Baron-Kenny steps, bootstrapped indirect effects, or structural equation modeling), effect sizes, and any sensitivity analyses to evaluate whether the mediation is complete or partial.
[Abstract] The nonlinearity of declines across lower grades and the specific localization of gender effects to recognition (with no further gender effects on identity) need supporting statistical details, including model specifications, interaction terms, and tests for the 'no further gender effects' claim.

minor comments (2)

[Abstract] Typo in abstract: 'perceievd' should be 'perceived'.
[Abstract] The abstract would benefit from a brief statement of the statistical approach used for mediation and moderation tests.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for their constructive comments, which highlight opportunities to strengthen the statistical transparency and clarify the observational nature of our analyses. We address each major comment below and will revise the manuscript accordingly.

read point-by-point responses

Referee: [Abstract and analysis description] The central claim of gender-moderated declines localized to perceived recognition when receiving <A rests on observational variation in grades. No details are provided on inclusion of covariates (e.g., prior interest, study habits, or instructor interactions) or robustness checks that would help isolate grade receipt as the operative driver rather than correlated unmeasured factors.

Authors: We agree the study is observational and grade receipt correlates with unmeasured student factors. The pre-post design controls for baseline identity and perceived recognition levels. We did not measure or include covariates such as prior interest, study habits, or instructor interactions. We will revise the methods and discussion sections to explicitly note this limitation, emphasize the descriptive nature of the associations, and report any available robustness checks using measured demographics. revision: partial
Referee: [Abstract] The statement that perceived recognition 'fully mediated' identity changes requires explicit reporting of the mediation model (e.g., Baron-Kenny steps, bootstrapped indirect effects, or structural equation modeling), effect sizes, and any sensitivity analyses to evaluate whether the mediation is complete or partial.

Authors: The full manuscript includes a structural equation modeling mediation analysis showing full mediation. We will revise the abstract and add explicit details in the results section on the model specification, indirect effect sizes, bootstrapped confidence intervals, and confirmation that the direct effect of grades on identity is nonsignificant once perceived recognition is included. Sensitivity analyses for the mediation will also be reported. revision: yes
Referee: [Abstract] The nonlinearity of declines across lower grades and the specific localization of gender effects to recognition (with no further gender effects on identity) need supporting statistical details, including model specifications, interaction terms, and tests for the 'no further gender effects' claim.

Authors: We will expand the results section to include the full regression model equations, grade category coefficients demonstrating nonlinearity, gender-by-grade interaction terms, and the statistical tests (including nonsignificant direct gender effects on identity after accounting for the recognition path). Model specifications and interaction significance tests will be added to support these claims. revision: yes

Circularity Check

0 steps flagged

No circularity: purely empirical observational analysis with no derivation chain

full rationale

The paper reports pre-post survey data from N=1681 students, examining average changes in self-reported physics identity and perceived recognition as a function of final course grade, with gender as a moderator and a mediation test of recognition on identity. No mathematical model, ansatz, fitted parameter, or uniqueness theorem is invoked whose output is then relabeled as a prediction or result. All reported patterns (declines for <A grades, larger drops for women, full mediation) are direct statistical summaries of observed responses rather than quantities defined in terms of themselves. Self-citations to prior identity scales are standard measurement references and do not carry the central claim. The analysis therefore contains no load-bearing step that reduces to its own inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claims rest on standard assumptions of survey-based mediation analysis in education research: that self-reported scales validly capture identity and recognition constructs, that pre-post changes can be attributed to grade feedback, and that the statistical model (mediation) is correctly specified without omitted variables.

axioms (2)

domain assumption Self-reported survey responses accurately reflect students' internal physics identity and perceived recognition.
Invoked implicitly when interpreting pre-post changes as meaningful shifts in identity.
domain assumption Grade received is the primary driver of observed changes rather than correlated factors such as teaching style or prior preparation.
Required for causal interpretation of the grade-identity link.

pith-pipeline@v0.9.0 · 5470 in / 1392 out tokens · 30051 ms · 2026-05-13T01:53:20.323358+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

IndisputableMonolith/Foundation/RealityFromDistinction.lean reality_from_one_distinction unclear
We analyze patterns in changes in physics identity and perceived recognition from pre course to post course across three cohorts... Changes in perceived recognition fully mediated the changes in identity. Importantly, women showed significantly larger declines...
IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear
linear regressions using the regress command and mediation and moderated mediation analysis using bootstrap in STATA

Reference graph

Works this paper leans on

21 extracted references · 21 canonical work pages

[1]

The Gendered Cost of Lower Grades: Women's Physics Perceived Recognition and Identity Suffer Disproportionately If They Earn Less Than A Grade Jaya Shivangani Kashyap1*, Christian D. Schunn2 and Chandralekha Singh1 1 Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260 2Learning Research and Development Center and Department...

work page 2015
[2]

A salient factor for students in general is the grades they receive in a course (Bottomley et al., 2022; Marshman, Kalender, Nokes-Malach, et al., 2018)

in physics and physics-related majors, there is still limited understanding of how these beliefs change over the course of a semester and what factors influence those changes. A salient factor for students in general is the grades they receive in a course (Bottomley et al., 2022; Marshman, Kalender, Nokes-Malach, et al., 2018). However, the relationship b...

work page 2022
[3]

and the beliefs such as interest and self-efficacy (Gee, 2000; Smith,

work page 2000
[4]

Individuals can have multiple identities at the same time (Gee, 2000; Stets & Burke, 2003), and which identities are activated can vary by context

that underlie identity formation. Individuals can have multiple identities at the same time (Gee, 2000; Stets & Burke, 2003), and which identities are activated can vary by context. For example, one may have a different identity within home and school contexts (Gee, 2000). For students to continue along a formal education pathway, it is likely important t...

work page 2000
[5]

and wanting to pursue careers related to the specific science disciplinary identity (e.g., a physics identity predicting physics-related careers; (Hazari et al., 2010)). A recent meta-analysis of 35 studies revealed that STEM identity and STEM career intention showed a strong relationship on average of 𝑟=.35, although with some variation across contexts a...

work page 2010
[6]

plays an especially important role in developing the physics identity of women (R. M. Lock et al., 2015). For example, recognition from physics teachers has been identified as playing an important role in students choosing physics as a career (Hazari & Cass, 2018). Although university instructors have little control over the factors that shape student ide...

work page 2015
[7]

genius” and “brilliant

(Van Dusen, 2025), including physics identity (Kalender et al., 2019a; R. M. Lock et al., 2013). Women bring many assets that lead them to perform at slightly higher levels in many types of courses in high school and university (Voyer & Voyer, 2014), including in mathematics (Voyer & Voyer, 2014), which is a key performance asset for physics given its int...

work page 2025
[8]

and qualitative data (Avraamidou, 2021; Bottomley et al., 2022; Li & Singh, 2023). Overall, there is consistent theoretical support for performance as a key factor shaping identity, though there may be disagreement over whether its effects on identity are direct or mediated by its influence on other constructs, such as perceived recognition. Further, the ...

work page 2021
[9]

In addition, relatively little research has examined whether performance matters to the same degree for different student groups

and should not be taken as a negative indicator of long-term success. In addition, relatively little research has examined whether performance matters to the same degree for different student groups. Looking beyond research on identity, men and women tend to react differently to the same performance levels, particularly in domains like physics for which t...

work page 2013
[10]

Hypothesized model for the gender-moderated relationship between students’ course grade and their identity through perceived recognition. Methods Participants This study included all students enrolled in Fall term sections of Calculus-based Physics 1 across three consecutive years at a large public research university in the US. These years were after the...

work page 2019
[11]

Note that single-item disciplinary identity measures have been found to be reliable and valid (Wu et al., 2024)

Perceived recognition in the context of physics, is measured using four items involving the extent to which students think other people (i.e., family, friends, TA, and instructor) see them as a physics person (e.g., My family sees me as a physics person) (Hazari et al., 2013; Hazari et al., 2010; Kalender et al., 2019a, 2019b). Note that single-item disci...

work page 2013
[12]

!#$)∗'(!

Number of men and women in each grade group category, and relative percentages within each gender. Gender Grade Category Non-Passing Passing C B A Men 144 (14%) 255 (25%) 360 (35%) 275 (27%) Women 112 (17%) 192 (30%) 211 (33%) 132 (20%) Analysis A subset of the 1,681 students enrolled in the studied classes completed the survey at pre- (𝑛 =1,472) and at p...

work page 1988
[13]

Predicted means (with SE) for a) pre identity, b) post-identity, c) pre perceived recognition, and d) post-perceived recognition across different grade groups for men and women, along with effect sizes (Cohen’s d). Discussion Changing Identities and Perceived Recognition as a Function of Course Grades While prior research has generally supported the theor...

work page 2022
[14]

chilly climate

about grades and possible pathways for intervention. On the one hand, students’ reactions to grades seem deeply social, tied to their beliefs about how others respond to grades. Future research is needed to understand whether, in fact, others are changing how they recognize students or whether these are primarily presumed changes. Note that examining the ...

work page 2023
[15]

where students, regardless of their final grades (Starr et al., 2020), can equally see themselves as ‘physics people’. Since women with lower grades tend to report lower physics identity and perceived recognition compared to men, it could be useful to provide targeted support that can help strengthen their sense of identity and increase their perception o...

work page doi:10.1002/tea.21721 2020
[16]

physics person

Kalender, Z. Y., Marshman, E., Schunn, C. D., Nokes-Malach, T. J., & Singh, C. (2019a). Gendered patterns in the construction of physics identity from motivational factors. Physical Review Physics Education Research, 15(2), 020119. https://doi.org/10.1103/PhysRevPhysEducRes.15.020119 Kalender, Z. Y., Marshman, E., Schunn, C. D., Nokes-Malach, T. J., & Sin...

work page doi:10.1103/physrevphyseducres.15.020119 2020
[17]

Y., Schunn, C., & Singh, C

Nokes-Malach, T., Marshman, E., Kalender, Z. Y., Schunn, C., & Singh, C. (2017). Investigation of male and female students’ motivational characteristics throughout an introductory physics course sequence. (Ed.),^(Eds.). Proceedings of the 2017 Physics Education Research Conference, Cincinnati, OH. Nokes-Malach, T. J., Kalender, Z. Y., Marshman, E., Schunn...

work page 2017
[18]

It's ok—Not everyone can be good at math

Rattan, A., Good, C., & Dweck, C. S. J. J. o. E. S. P. (2012). “It's ok—Not everyone can be good at math”: Instructors with an entity theory comfort (and demotivate) students. 48(3), 731-737. Robinson, K. A., Perez, T., Carmel, J. H., & Linnenbrink-Garcia, L. (2019). Science identity development trajectories in a gateway college chemistry course: Predicto...

work page doi:10.1103/pyvm-4s9t 2012
[19]

H., & Sadler, P

https://doi.org/10.1186/s40594-021-00283-2 Tai, R. H., & Sadler, P. M. (2001). Gender differences in introductory undergraduate physics performance: University physics versus college physics in the USA. International Journal of Science Education, 23(10), 1017-1037. Theobald, E. J., Hill, M. J., Sweta Agrawal, E. T., Arroyo, E. N., Behling, S., Chambwe, N....

work page doi:10.1186/s40594-021-00283-2 2001
[20]

https://doi.org/10.1186/s40594-018-0140-5 Voyer, D., & Voyer, S. D. (2014). Gender differences in scholastic achievement: a meta-analysis. Psychological Bulletin, 140(4),

work page doi:10.1186/s40594-018-0140-5 2014
[21]

chilly climate

Walton, G. M., Logel, C., Peach, J. M., Spencer, S. J., & Zanna, M. P. (2015). Two brief interventions to mitigate a “chilly climate” transform women’s experience, relationships, and achievement in engineering. Journal of educational Psychology, 107(2), 468-485. Whitcomb, K., Cwik, S., & Singh, C. (2021). Not all disadvantages are created equal: Racial/Et...

work page doi:10.1177/23328584211059823 2015