arXiv subjects

Tanya Evans

Publications and source records attributed to Tanya Evans.

14 recordsLinked to original sources

arXiv2025

Development of the Measure of Assessment Self-Efficacy (MASE) for Quizzes and Exams

Self-efficacy is a significant construct in education due to its predictive relationship with achievement. Existing measures of assessment-related self-efficacy concentrate on students' beliefs about content-specific tasks but omit beliefs around assessment-taking. This research aimed to develop and test the Measure of Assessment Self-Efficacy (MASE), designed to assess two types of efficacy beliefs related to assessment (i.e., 'comprehension and execution' and 'emotional regulation') in two scenarios (i.e., a low-stakes online quiz and a high-stakes final exam). Results from confirmatory factor analysis in Study 1 (N = 301) supported the hypothesised two-factor measurement models for both assessment scenarios. In Study 2, results from MGCFA (N = 277) confirmed these models were invariant over time and provided evidence for the scales' validity. Study 3 demonstrated the exam-related MASE was invariant across cohorts of students (Ns = 277; 329). Potential uses of the developed scales in educational research are discussed.

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arXiv2025

Student explanation in middle and secondary mathematics and statistics: A scoping literature review

This scoping review examines the literature on student explanation strategies in middle and secondary mathematics and statistics education from 2014 to 2024. Following the PRISMA protocol, we analyzed 41 studies that met the inclusion criteria. The findings classify student explanations into two types: self-explanation (SE) and peer explanation (PE). Both approaches enhance conceptual understanding and procedural knowledge, though each offers distinct benefits and challenges. SE is particularly effective when combined with worked examples and varies with prompting strategies, while PE significantly impacts students' affective development and social learning. The review identifies a significant gap in studies comparing the effectiveness of SE and PE, alongside an almost complete absence of research within statistics education.

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arXiv2025

Exploring collaboration: The effect of gender on mathematics learning preferences

This study examines the influence of gender on students' collaborative preferences for learning mathematics (CPLM) over time in an undergraduate mathematics context. Data collected at three points during the semester were analyzed using a two-way mixed analysis of variance (ANOVA). Results showed no significant interaction between gender and time, nor a main effect of gender, indicating stable CPLM scores and comparable preferences between male and female students. These findings challenge prior research on gendered differences in collaboration and suggest that further exploration of contextual factors is needed to deepen understanding of CPLM in undergraduate mathematics education.

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arXiv2025

Mathematics education research must be useful for the classroom

The theme of the PME-48 conference, Making sure that mathematics education research reaches the classroom, highlights a key concern: not all mathematics education research informs classroom practice. This raises several fundamental questions: Which research fails to reach the classroom? Why? And should all research be expected to do so? Accordingly, it is fitting that the plenary panel engages with these important issues by debating the following motion: Mathematics education research must be useful for the classroom. This paper presents the debate as structured for the purposes of this publication. Following an introduction, Anthony Essien and Salome Martinez Salazar argue against the motion, while Maitree Inprasitha and Demetra Pitta-Pantazi argue in support. We hope that this debate will stimulate ongoing dialogue and encourage the mathematics education research community to critically engage with this issue - one that is central to the relevance and impact of research in the field.

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arXiv2025

Examining Gender Differences in the Impact of Instructional Clarity on Year 9 Students' Mathematics Interest in New Zealand: A Multi-Group Comparison of 2019 TIMSS Data

Grounded in Social Cognitive Career Theory (SCCT), this study explores how teacher instruction clarity impacts Year 9 students' mathematics interest through the mediating roles of confidence and value, with a focus on gender differences. Structural equation modelling applied to the 2019 New Zealand TIMSS dataset (2,594 girls and 2,651 boys) supports the SCCT framework. While confidence and value have similar mediating effects for boys, confidence plays a more pivotal role for girls. Gender differences are primarily observed in the value-mediated pathway, underscoring persistent challenges to achieving educational equity through teachers' instruction in New Zealand.

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arXiv2025

Examining the Impact of Tutorial Activity Engagement on Undergraduate Students' Collaborative Preferences

This study examines the impact of tutorial engagement on Collaborative Preferences for Learning Mathematics (CPLM) in a tertiary context. A two-way mixed ANOVA analysed these preferences over a semester in a sample of undergraduate students. As expected, collaborative engagement had a significant main effect, with students who collaborated more reporting stronger preferences for working with their peers (higher CPLM). The absence of an interaction effect between the nature of tutorial engagement and time suggests CPLM differences remain stable. This may indicate that familiar modes of tutorial engagement may reinforce existing collaboration preferences.

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arXiv2025

Exploring the relation between mathematical values and achievement among girls: A comparative analysis in single-sex vs. coeducational settings using TIMSS 2019 NZ data

Grounded in the social cognitive career theory, this study investigates the influence of values on girls' mathematics achievement across socio-economic status (SES) settings, contrasting single-sex and coeducational schools. An analysis of variance (ANOVA) on 2019 TIMSS New Zealand data (N = 2,898) revealed that single-sex education was associated with enhanced girls' mathematical values in high-SES settings. However, its effect on translating these values into improved mathematics performance was relatively limited. Affluent learning resources were the more immediate factor in improving mathematics performance. Moreover, in low-SES environments, the relation between values and mathematics achievement exhibited a complex nonlinear pattern.

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arXiv2025

Collaborative Preferences for Learning Mathematics: A Scale Validation Study

Collaboration within mathematics has been established as being effective in providing students with crucial opportunities to develop critical thinking, effective communication, and teamwork skills. By engaging in group problem-solving and shared learning experiences, students may gain deeper insights into mathematical concepts and learn to approach challenges from multiple perspectives. However, there remains a need for a reliable instrument to capture students' preferences for collaboration. This study aims to develop and validate the Collaborative Preferences for Learning Mathematics (CPLM) scale to measure student preferences for collaboration. Exploratory factor analysis revealed a single-factor structure, and a confirmatory factor analysis conducted with a separate sample (N = 243) demonstrated a good model fit. Further testing established the scale's strong invariance, confirming its ability to reliably measure collaborative preferences over time. The CPLM offers a valid and reliable way to capture student preferences regarding collaborative learning in mathematics.

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arXiv2025

Student Explanation Strategies in Postsecondary Mathematics and Statistics Education: A Scoping Review

This scoping review examines the use of student explanation strategies in postsecondary mathematics and statistics education. We analyzed 46 peer-reviewed articles published between 2014 and 2024, categorizing student explanations into three main types: self-explanation, peer explanation and explanation to fictitious others. The review synthesizes the theoretical underpinnings of these strategies, drawing on the retrieval practice hypothesis, generative learning hypothesis, and social presence hypothesis. Our findings indicate that while self-explanation and explaining to fictitious others foster individual cognitive processes enhancing generative thinking, peer explanation have the potential to combine these benefits with collaborative learning. However, explanation to fictitious others have the potential to mitigate some of the negative impacts that may occur in peer explanation, such as more knowledgeable students dominating peer discussions. The efficacy of the methods varies based on implementation, duration, and context. This scoping review contributes to the growing body of literature on generative learning strategies in postsecondary education and provides insights for optimizing the integration of student explanation techniques in mathematics and statistics.

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arXiv2025

Exploring Gender Differences in Tertiary Mathematics-Intensive Fields: A Critical Review of Social Cognitive Career Theory

Social Cognitive Career Theory (SCCT) has been extensively employed to elucidate the enduring gender differences in mathematics-intensive fields, with a particular emphasis on the complex interplay of motivational factors and extra-personal influences contributing to the underrepresentation of women. Although a plethora of empirical studies corroborate SCCT, three crucial aspects for refinement have come to the fore. First, the theory should place a more substantial emphasis on how cultural and contextual diversity influences academic choices. Second, given the dynamic nature of motivation, which evolves over time, more longitudinal analyses are imperative to capture their temporal trajectory, in contrast to the predominantly cross-sectional empirical studies. Finally, considering the intricate interplay between emotion and motivation, integrating the dimension of emotion into SCCT would significantly augment its explanatory power and provide a more comprehensive understanding of academic selection processes.

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arXiv2025

Active Learning at Scale: Investigating the Benefits of Peer Instruction in Undergraduate Mathematics

Active learning strategies have been widely recognised for their effectiveness in tertiary education, yet their implementation at scale, particularly in large first-year mathematics courses, presents considerable challenges. A common method for actively engaging students in large classes is through online quizzes, which may include structured peer instruction. In this study, we investigate the effect of having students answer quiz-style questions during class both with and without peer discussion in a first-year large mathematics course (N = 550). We also investigate the short- and long-term effects of each protocol. Our findings indicate that peer instruction enhances student performance in mathematics in the following ways: First, when the responses to questions were measured before and after peer instruction the proportion of questions answered correctly increased by 0.2; second, when correct responses were compared to similar questions the following week the proportion correct increased by 0.34 (compared to 0.07 for the control); finally, when measured at the end of the semester the proportion of questions answered correctly increased by 0.42 (compared to 0.2 for the control). These results align with and build upon previous research on the benefits of peer instruction, indicating a potential long-term association with student knowledge retention of mathematical concepts. This suggests that peer discussion may do more than momentarily improve accuracy -- it could also contribute to more durable learning.

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arXiv2022

Traditional lectures versus active learning -- a false dichotomy?

Traditional lectures are commonly understood to be a teacher-centered mode of instruction where the main aim is a provision of explanations by an educator to the students. Recent literature in higher education overwhelmingly depicts this mode of instruction as inferior compared to the desired student-centered models based on active learning techniques. First, using a four-quadrant model of educational environments, we address common confusion related to a conflation of two prevalent dichotomies by focusing on two key dimensions: (1) the extent to which students are prompted to engage actively and (2) the extent to which expert explanations are provided. Second, using a case study, we describe an evolution of tertiary mathematics education, showing how traditional instruction can still play a valuable role, provided it is suitably embedded in a student-centered course design. We support our argument by analyzing the teaching practice and learning environment in a third-year abstract algebra course through the lens of Stanislav Dehaene's theoretical framework for effective teaching and learning. The framework, comprising "four pillars of learning", is based on a state-of-the-art conception of how learning can be facilitated according to cognitive science, educational psychology, and neuroscience findings. In the case study, we illustrate how, over time, the unit design and the teaching approach have evolved into a learning environment that aligns with the four pillars of learning. We conclude that traditional lectures can and do evolve to optimize learning environments and that the erection of the dichotomy "traditional instruction versus active learning" is no longer relevant.

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arXiv2022

Inquiry-Based Mathematics Education: a call for reform in tertiary education seems unjustified

In the last decade, major efforts have been made to promote inquiry-based mathematics learning at the tertiary level. The Inquiry-Based Mathematics Education (IBME) movement has gained strong momentum among some mathematicians, attracting substantial funding, including from some US government agencies. This resulted in the successful mobilization of regional consortia in many states, uniting over 800 mathematics education practitioners working to reform undergraduate education. Inquiry-based learning is characterized by the fundamental premise that learners should be allowed to learn 'new to them' mathematics without being taught. This progressive idea is based on the assumption that it is best to advance learners to the level of experts by engaging learners in mathematical practices similar to those of practising mathematicians: creating new definitions, conjectures and proofs - that way learners are thought to develop 'deep mathematical understanding'. However, concerted efforts to radically reform mathematics education must be systematically scrutinized in view of available evidence and theoretical advances in the learning sciences. To that end, this scoping review sought to consolidate the extant research literature from cognitive science and educational psychology, offering a critical commentary on the effectiveness of inquiry-based learning. Our analysis of research articles and books pertaining to the topic revealed that the call for a major reform by the IBME advocates is not justified. Specifically, the general claim that students would learn better (and acquire superior conceptual understanding) if they were not taught is not supported by evidence. Neither is the general claim about the merits of IBME for addressing equity issues in mathematics classrooms.

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arXiv2021

A Study of the New Zealand Mathematics Curriculum

Given the profound and uncritiqued changes that have been implemented in Aotearoa New Zealand education since the 1990s, this paper provides a critical commentary on the characterising features of the New Zealand mathematics' curriculum in the context of the first stage of a study. The emphasis is on the importance of research design that begins with an explicit, evidence-based hypothesis. To that end, we describe evidence that informs and identifies the study's hypothesised problem and causes. The study itself will show whether or not the hypothesis is justified; that is, is the absence of standardised prescribed content in New Zealand mathematics' curriculum the reason for the country's declining mathematics rankings? The study aims to increase understanding in the field of mathematics education by exploring the effects on New Zealand year 7 public school teachers' mathematics curriculum selection and design practices, teaching practices, and subsequently student achievement.

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