Ian Jones
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View article: Constructing Insights: Exploring the Position of Lego <sup>®</sup> Serious Play <sup>®</sup> Within the Landscape of Creative and Participatory Research Methodologies
Constructing Insights: Exploring the Position of Lego <sup>®</sup> Serious Play <sup>®</sup> Within the Landscape of Creative and Participatory Research Methodologies Open
As research adapts to complex societal and interdisciplinary challenges, qualitative approaches, particularly creative and participatory methods, have gained prominence for fostering inclusive, collaborative inquiry. Grounded in constructi…
View article: Comparative judgement as a research tool: A meta-analysis of application and reliability
Comparative judgement as a research tool: A meta-analysis of application and reliability Open
Comparative judgement (CJ) provides methods for constructing measurement scales, by asking assessors to make a series of pairwise comparisons of the artefacts or representations to be scored. Researchers using CJ need to decide how many as…
View article: Comparative judgement without the fancy statistics
Comparative judgement without the fancy statistics Open
Comparative judgement methods for assessment are increasingly popular. They involve assessors making comparisons about the ‘quality’ of pairs of students’ work, and the comparisons are statistically modelled to produce scores. Recently Ben…
View article: Comparative judgement as a research tool: a meta-analysis of application and reliability
Comparative judgement as a research tool: a meta-analysis of application and reliability Open
Comparative judgement (CJ) provides methods for constructing measurement scales, by asking assessors to make a series of pairwise comparisons of the artefacts or representations to be scored. Researchers using CJ need to decide how many as…
View article: Comparative judgement in education research
Comparative judgement in education research Open
Educational researchers often need to construct precise and reliable measurement scales of complex and varied representations such as participants’ written work, videoed lesson segments and policy documents. Developing such scales using ca…
View article: Conceptual Statistical Assessment Using JSXGraph
Conceptual Statistical Assessment Using JSXGraph Open
Traditionally online assessments tend to focus on topics that require students to input algebraic and numeric responses. As such there is a paucity of questions that test students' knowledge of statistics, and what questions there are in o…
View article: Rejuvenating the HELM Workbooks as Online STACK Quizzes in 2020
Rejuvenating the HELM Workbooks as Online STACK Quizzes in 2020 Open
HELM (Helping Engineers Learn Mathematics) was a three-year project undertaken by a consortium of five English universities between 2002 and 2005. HELM released a range of workbooks and online resources, designed to enhance the mathematica…
View article: Comparing Examination Standards without Graded Candidate Scripts
Comparing Examination Standards without Graded Candidate Scripts Open
Comparative judgement methods are commonly used to explore standards in examination papers over time. However, studies are limited by a paucity of graded candidate scripts from previous years, as well as the expense and time required to st…
View article: A Collaboratively-Derived Research Agenda for E-assessment in Undergraduate Mathematics
A Collaboratively-Derived Research Agenda for E-assessment in Undergraduate Mathematics Open
This paper describes the collaborative development of an agenda for research on e-assessment in undergraduate mathematics. We built on an established approach to develop the agenda from the contributions of 22 mathematics education researc…
View article: Assessing Proof Reading Comprehension Using Summaries
Assessing Proof Reading Comprehension Using Summaries Open
In this paper, we explore the role of mathematical proof summaries as a tool for capturing students’ reading comprehension of a given proof. We present an interview study based on mathematicians’ pairwise evaluations of student-produced su…
View article: Mathematical equivalence assessment: Measurement invariance across six countries
Mathematical equivalence assessment: Measurement invariance across six countries Open
Within mathematics education research, there has been a strong focus on students' understanding of mathematical equivalence because of its key role in the development of mathematics skills.One of the most frequently used tools to assess st…
View article: Using a comparative judgement approach to assess the problem-solving skills of primary school pupils
Using a comparative judgement approach to assess the problem-solving skills of primary school pupils Open
Comparative judgement has been put forward as a way of assessing more open responses to\nmathematical questions, for example in problem solving. This paper describes a small-scale\nstudy involving a comparative judgement assessment of the …
View article: Comparative judgement, proof summaries and proof comprehension
Comparative judgement, proof summaries and proof comprehension Open
Proof is central to mathematics and has drawn substantial attention from the mathematics education community. Yet, valid and reliable measures of proof comprehension remain rare. In this article, we present a study investigating proof comp…
View article: Assessment by Comparative Judgement: An Application to Secondary Statistics and English in New Zealand
Assessment by Comparative Judgement: An Application to Secondary Statistics and English in New Zealand Open
There is growing interest in using comparative judgement to assess student work as an alternative to traditional marking. Comparative judgement requires no rubrics and is instead grounded in experts making pairwise judgements about the rel…
View article: Teaching using contextualised and decontextualised representations: examining the case of differential calculus through a comparative judgement technique
Teaching using contextualised and decontextualised representations: examining the case of differential calculus through a comparative judgement technique Open
An ongoing debate concerns whether novel mathematical concepts are better learned using\ncontextualised or decontextualised representations. A barrier to resolving this debate, and\ntherefore to progress in the discipline, has been the pau…
View article: A logo-based task for arithmetical activity
A logo-based task for arithmetical activity Open
Young children attend to answer-getting readings of arithmetical notation. This is evidenced by\nmany children’s exclusive acceptance of a + b = c syntaxes that lend themselves to\ncomputational readings (e.g. Behr et al., 1976; Carpenter …
View article: Measuring conceptual understanding in randomised controlled trials: Can comparative judgement help?
Measuring conceptual understanding in randomised controlled trials: Can comparative judgement help? Open
An impediment to conducting high‐quality quantitative research studies in education is the paucity of valid measures of learning gains. Studies often seek to investigate students’ deep, conceptual understanding yet many measures assess onl…
View article: The conception of substitution of the equals sign plays a unique role in students' algebra performance
The conception of substitution of the equals sign plays a unique role in students' algebra performance Open
Students’ conceptions of the equals sign are related to algebraic success. Research has identified two common conceptions held by children: operational and relational. The latter has been widely operationalised in terms of the sameness of …
View article: Supplementary materials to "The conception of substitution of the equals sign plays a unique role in students' algebra performance"
Supplementary materials to "The conception of substitution of the equals sign plays a unique role in students' algebra performance" Open
Supplementary materials to "Simsek, E., Xenidou-Dervou, I., Karadeniz, I., & Jones, I. (2019). The conception of substitution of the equals sign plays a unique role in students' algebra performance. Journal of Numerical Cognition, 5(1), 24…
View article: Free-Response Tasks in Primary Mathematics: A Window on Students' Thinking.
Free-Response Tasks in Primary Mathematics: A Window on Students' Thinking. Open
We administered specially-designed, free-response mathematics tasks to primary students\n(N = 583, ages five to 12 years old). Our focus was on whether (i) the children’s responses\ncould be reliably assessed, and (ii) the responses could …
View article: Peer assessment of mathematical understanding using comparative judgement
Peer assessment of mathematical understanding using comparative judgement Open
It is relatively straightforward to assess procedural knowledge and difficult to assess conceptual understanding in mathematics. One reason is that conceptual understanding is better assessed using open-ended test questions that invite an …
View article: Special issue on summative assessment
Special issue on summative assessment Open
This is an Accepted Manuscript of an article published by Taylor & Francis in Research in Mathematics Education on 01 Aug 2017, available online: https://doi.org/10.1080/14794802.2017.1334578
View article: GCSE Problem Solving paper
GCSE Problem Solving paper Open
This is an item produced for research purposes and is not a real GCSE exam paper. The associated scoring rubric can be found at: https://doi.org/10.17028/rd.lboro.4609438.
View article: GCSE Problem Solving scoring rubric
GCSE Problem Solving scoring rubric Open
This is an item produced for research purposes and is not a real GCSE exam rubric. The associated research item can be accessed at: https://doi.org/10.17028/rd.lboro.4609447
View article: Authors’ Response: The M-N-L Framework: Bringing Radical Constructivist Theories to Daily Teaching Practices
Authors’ Response: The M-N-L Framework: Bringing Radical Constructivist Theories to Daily Teaching Practices Open
Upshot: We seek to address several questions and statements made in the commentaries by elaborating on the four main aspects of the M-N-L framework. Before doing so, we discuss the issue of constructivist teaching in the context of schools…
View article: Negotiating Between Learner and Mathematics: A Conceptual Framework to Analyze Teacher Sensitivity Toward Constructivism in a Mathematics Classroom
Negotiating Between Learner and Mathematics: A Conceptual Framework to Analyze Teacher Sensitivity Toward Constructivism in a Mathematics Classroom Open
This paper was accepted for publication in the journal Constructivist Foundations and the definitive published version is available at http://constructivist.info/12/1/059.
View article: Curricular goals: lecturers’ beliefs concerning in-service undergraduate statistics education
Curricular goals: lecturers’ beliefs concerning in-service undergraduate statistics education Open
This paper focuses on university lecturers’ planning of undergraduate statistics education. In particular, this study explored aspects of lecturers’ intended curricula such as how lecturers interpret the learning outcomes of statistics cou…