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arxiv: 2412.14796 · v2 · pith:6BWZKMCXnew · submitted 2024-12-19 · 🧮 math.HO

Why Do Students (Not) Choose Second-Cycle Mathematics Studies? Questionnaire and Graduate-Tracking Evidence from Poland

Filip Turobo\'s , Jacek Sta\'ndo , \.Zywilla Fechner , Nicole Meisner This is my paper

Pith reviewed 2026-05-23 07:29 UTC · model grok-4.3

classification 🧮 math.HO
keywords mathematics educationstudent retentionsecond-cycle studiesBologna ProcessPolandspecialization satisfactionlabor market perceptionsgraduate tracking
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The pith

Students planning to continue math studies rate their bachelor's programs higher in quality and usefulness.

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

The paper investigates factors linked to Polish mathematics students' decisions to pursue second-cycle studies after a bachelor's degree. Surveys across 13 institutions combined with national graduate-tracking data show that those intending to continue view the substantive quality and practical usefulness of their studies more positively. Satisfaction with the chosen specialization stands out as a particularly strong factor separating continuation groups from others. Many respondents still express doubts about the professional utility of a master's despite labor-market data indicating advantages. The work concludes that retention depends on how well curricula and specializations align with labor-market expectations.

Core claim

The results indicate that students willing to continue second-cycle studies evaluate both the substantive quality and practical usefulness of their studies more positively than students intending to leave mathematics or change institutions. Satisfaction with the chosen specialization emerged as one of the strongest differentiating factors between the analysed groups. At the same time, a substantial proportion of respondents expressed doubts regarding the professional utility of continuing mathematical education, despite administrative labour-market data suggesting several advantages associated with obtaining a Master's degree. The findings suggest that retention in mathematics is shaped not

What carries the argument

Comparison of self-reported student evaluations of course quality, practical usefulness, and specialization satisfaction across groups defined by continuation intentions, backed by nationwide graduate-tracking records.

If this is right

  • Retention rates in mathematics rise when students see stronger connections between their specialization and future employment.
  • Curriculum adjustments that highlight practical applications can shift intentions toward continuing studies.
  • Greater cooperation between universities and external stakeholders improves how students perceive the value of second-cycle programs.
  • Communicating administrative evidence of master's degree advantages can address widespread doubts about professional utility.

Where Pith is reading between the lines

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

  • The same perception-based drivers could operate in related fields such as physics or computer science where students weigh labor-market signals heavily.
  • Targeted changes to how specializations are presented in the first cycle could be piloted and measured for effects on continuation rates.
  • Graduate-tracking systems might be used more proactively to shape student expectations before they reach the decision point.

Load-bearing premise

That self-reported questionnaire responses from the sampled students accurately capture the causal factors driving continuation decisions without substantial response bias, social desirability effects, or selection bias in who chose to participate.

What would settle it

A longitudinal follow-up that matches the original survey responses to actual enrollment records in second-cycle programs and finds no predictive link between reported satisfaction levels and later continuation would undermine the claimed associations.

Figures

Figures reproduced from arXiv: 2412.14796 by Filip Turobo\'s, Jacek Sta\'ndo, Nicole Meisner, \.Zywilla Fechner.

Figure 1
Figure 1. Figure 1: Approximate positions of the universities whose students participated in the survey. [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Basic parameters of the sample. A few key things can be said about the presented data. Almost 50% of respondents are not employed, nor they are interested in undertaking a permanent job in the nearest foreseeable future. This is mostly the case of students, who plan on staying on the university for the second-cycle studies, as we will see in the latter part of the paper. The other half of respondents eithe… view at source ↗
Figure 3
Figure 3. Figure 3: Declared number of weekly working hours. [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Self-reported financial status – mean rating: 6.30, standard deviation: 1.75. [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Self-reported living conditions. The respondents GPAs were on average very close to 4.0, with standard deviation of 0.51.4 [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Self-reported average from grades obtained in the last semester. [PITH_FULL_IMAGE:figures/full_fig_p007_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: The distribution of students’ opinions on general courses. [PITH_FULL_IMAGE:figures/full_fig_p008_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: The selection of specializations amongst respondents. [PITH_FULL_IMAGE:figures/full_fig_p009_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: The selection of specializations amongst respondents after excluding universities without specialized [PITH_FULL_IMAGE:figures/full_fig_p010_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: The distribution of students’ opinions on specialized courses. [PITH_FULL_IMAGE:figures/full_fig_p010_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Self-reported plans for subsequent career after first-cycle studies. [PITH_FULL_IMAGE:figures/full_fig_p011_11.png] view at source ↗
read the original abstract

The Bologna Process has substantially reshaped higher education systems across Europe, including the structure of mathematical studies in Poland. One of the increasingly visible consequences of these transformations is the relatively low retention rate between first- and second-cycle studies. The aim of this paper is to investigate selected factors associated with students' willingness to continue mathematical education after obtaining a Bachelor's degree. The study combines questionnaire-based research conducted among mathematics students from 13 Polish higher education institutions with an auxiliary analysis of nationwide graduate-tracking data obtained from the Polish Graduate Tracking System (ELA). The survey investigated students' opinions on general and specialized courses, perceived labour-market usefulness of studies and future educational intentions. The results indicate that students willing to continue second-cycle studies evaluate both the substantive quality and practical usefulness of their studies more positively than students intending to leave mathematics or change institutions. Satisfaction with the chosen specialization emerged as one of the strongest differentiating factors between the analysed groups. At the same time, a substantial proportion of respondents expressed doubts regarding the professional utility of continuing mathematical education, despite administrative labour-market data suggesting several advantages associated with obtaining a Master's degree. The findings suggest that retention in mathematics is shaped not only by academic difficulty, but also by the perceived relationship between university curricula, specialization structures and labour-market expectations. We conclude with recommendations regarding curriculum design, cooperation with external stakeholders and other aspects of second-cycle mathematical education.

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.

Referee Report

2 major / 2 minor

Summary. The paper investigates factors associated with Polish mathematics students' willingness to continue from first- to second-cycle studies, using a questionnaire administered at 13 higher education institutions on course quality, labor-market usefulness, specialization satisfaction, and educational intentions, supplemented by auxiliary nationwide data from the Polish Graduate Tracking System (ELA). The central results indicate that students intending to continue rate both substantive quality and practical usefulness more positively, with specialization satisfaction as a key differentiator, while noting widespread doubts about professional utility despite apparent labor-market advantages for Master's degrees; recommendations focus on curriculum design and external cooperation.

Significance. If the reported associations prove robust to the identified methodological gaps, the work addresses an important post-Bologna retention issue in European mathematics education by linking student perceptions to structural factors. The mixed questionnaire-plus-administrative-data design is a strength, providing both perceptual and objective labor-market context, and the multi-institutional scope adds breadth; the findings could inform targeted interventions if the correlational patterns can be shown to precede rather than follow continuation decisions.

major comments (2)
  1. [Methods] Methods section: the sampling frame, response rate, statistical controls, and handling of missing data are not described, so the representativeness of the reported group differences in evaluations cannot be assessed and the central correlational claims rest on an uncharacterized sample.
  2. [Results] Results section: questionnaire items on quality/usefulness and continuation intentions were collected simultaneously without individual-level linkage to subsequent ELA enrollment records, leaving the observed differences vulnerable to post-decision rationalization or consistency bias and preventing demonstration that evaluations precede the decision.
minor comments (2)
  1. [Abstract] The abstract states the survey covered 'general and specialized courses' but does not indicate how many items or scales were used; a brief description of the instrument would aid replicability.
  2. Table or figure captions could more explicitly note whether percentages are row, column, or total, and whether significance tests accompany the group comparisons.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their thoughtful comments, which highlight important aspects of our methodology and study design. We address each major comment below and describe the revisions we will make to the manuscript.

read point-by-point responses

  1. Referee: [Methods] Methods section: the sampling frame, response rate, statistical controls, and handling of missing data are not described, so the representativeness of the reported group differences in evaluations cannot be assessed and the central correlational claims rest on an uncharacterized sample.

    Authors: We concur that the Methods section requires more comprehensive description to allow evaluation of the sample's representativeness. The revised manuscript will include expanded details on the sampling frame, including how the 13 higher education institutions were selected; the response rate; any statistical controls employed in the analyses; and the approach to missing data. These additions will strengthen the transparency of our correlational claims. revision: yes

  2. Referee: [Results] Results section: questionnaire items on quality/usefulness and continuation intentions were collected simultaneously without individual-level linkage to subsequent ELA enrollment records, leaving the observed differences vulnerable to post-decision rationalization or consistency bias and preventing demonstration that evaluations precede the decision.

    Authors: The referee correctly identifies a key limitation of our cross-sectional questionnaire design. Data on evaluations and intentions were gathered concurrently, precluding individual linkage to subsequent enrollment records in the ELA system. Consequently, we cannot establish that positive evaluations precede continuation decisions, and the associations may be subject to consistency bias. In the revised manuscript, we will introduce a new Limitations subsection that explicitly acknowledges these issues, clarifies the correlational nature of the findings, and discusses the auxiliary role of the ELA data in providing broader labor-market context without individual matching. revision: yes

Circularity Check

0 steps flagged

No circularity: empirical survey and tracking data analysis

full rationale

The paper reports results from a new questionnaire administered to students at 13 Polish institutions combined with auxiliary nationwide ELA graduate-tracking data. No derivations, equations, fitted parameters presented as predictions, or self-citation chains appear in the load-bearing steps; the central claims rest on direct group comparisons of survey responses, which constitute independent primary evidence rather than reduction to prior inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claims rest on standard survey-research assumptions about response validity and sample representativeness rather than on any mathematical derivation or new postulated entities.

axioms (1)
  • domain assumption Student self-reports on course quality, usefulness, and educational intentions are reliable indicators of the factors that actually drive continuation decisions.
    The study uses questionnaire responses to identify differentiating factors between groups.

pith-pipeline@v0.9.0 · 5797 in / 1337 out tokens · 29095 ms · 2026-05-23T07:29:39.807435+00:00 · methodology

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Reference graph

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