Research on solving mathematical word problems suggests that students may perform better on problems with a close to real-life representation of the problem situation than on word problems. In this study we pursued real-life representation by a mainly depictive representation of the problem situation, mostly by photographs. The prediction that students perform better on problems with a depictive representation of the problem situation than on comparable word problems was tested in a randomised controlled trial with 31,842 students, aged 10–20 years, from primary and secondary education. The conclusion was that students scored significantly higher on problems with a depictive representation of the problem situation, but with a very small effect size of Cohen’s d = 0.09. The results of this research are likely to be relevant for evaluations of mathematics education where word problems are used to evaluate the mathematical capacity of students.
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The aim of this study is to contribute to the body of knowledge on the use of contextual mathematical problems. Word problems are a predominant genre in mathematics classrooms in assessing students’ ability to solve problems from everyday life. Research on word problems, however, reveals a range of difficulties in their use in mathematics education. In our research we took an alternative approach: we designed image-rich numeracy problems as alternatives for word problems. A set of word problems was modified by systematically replacing the descriptive representation of the problem situation by a more depictive representation and an instrument was designed to measure the effect of this modification on students’ performance. The instrument can measure the effect of this alternative approach in a randomized controlled trial. In order to use the instrument at scale, we made this instrument also usable as a diagnostic test for an upcoming nationwide examination on numeracy. In this article we explain and discuss the design of the instrument and the validation of its intended uses.
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This article reports on a post hoc study using a randomised controlled trial with 31,842 students in the Netherlands and an instrument consisting of 21 paired problems. The trial showed a variability in the differences of students’ results in solving contextual mathematical problems with either a descriptive or a depictive representation of the problem situation. In this study the relation between this variability and two task characteristics is investigated: (1) complexity of the task representation; and (2) the content domain of the task. We found indications that differences in performance on descriptive and depictive representations of the problem situation are related to the content domain of the problems. One of the tentative conclusions is that for depicted problems in the domain of measurement and geometry the inferential step from representation of the problem situation to the mathematical problem to be solved is smaller than for word problems.
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This paper reports on an experiment comparing students’ results on image-rich numeracy problems and on equivalent word problems. Given the well reported problematic nature of word problems, the hypothesis is that students score better on image-rich numeracy problems than on comparable word problems. To test the hypothesis a randomized controlled trial was conducted with 31,842 students from primary, secondary, and vocational education. The trial consisted of 21 numeracy problems in two versions: word problems and image-rich problems. The hypothesis was confirmed for the problems used in this experiment. With the insights gained we intend to improve the assessment of students’ abilities in solving quantitative problems from daily life. Numeracy, word problem, image-rich problem, randomized controlled trial, assessment
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Social robots have been introduced in different fields such as retail, health care and education. Primary education in the Netherlands (and elsewhere) recently faced new challenges because of the COVID-19 pandemic, lockdowns and quarantines including students falling behind and teachers burdened with high workloads. Together with two Dutch municipalities and nine primary schools we are exploring the long-term use of social robots to study how social robots might support teachers in primary education, with a focus on mathematics education. This paper presents an explorative study to define requirements for a social robot math tutor. Multiple focus groups were held with the two main stakeholders, namely teachers and students. During the focus groups the aim was 1) to understand the current situation of mathematics education in the upper primary school level, 2) to identify the problems that teachers and students encounter in mathematics education, and 3) to identify opportunities for deploying a social robot math tutor in primary education from the perspective of both the teachers and students. The results inform the development of social robots and opportunities for pedagogical methods used in math teaching, child-robot interaction and potential support for teachers in the classroom
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Proceedings of the 24th International Conference of Adults Learning Mathematics – A Research Forum (ALM).
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Reading a novel about a dying person and the people attending the dying, one can not only reflect upon the moral involvement between the literary characters depicted, but also upon the way in which the reader takes the position of a “bystander” in this scene. In two novels, The Death of Ivan Ilyich by Tolstoy and The Big Ward by the Dutch author Jacoba van Velde, this moral involvement can be interpreted as a form of “compassion”. Martha Nussbaum’s concept of “compassionate imagination” offers a perspective on the way in which the reader can be involved in this literary depiction of the dying. However, the Aristotelian criteria that Nussbaum proposes for the rational judgement of compassion and her ambitions that literature can “raise society’s floor” by developing “compassionate imagination” in readers, are difficult to apply to these specific cases. In comparing both novels, it is exactly the differences between them – the historical context and social classes depicted - that bring to light a problematic presupposition in Nussbaum, namely the a-historical universality in the compassionate involvement. A re-interpretation of one of the Aristotelian criteria for compassion leaves room for a “compassionate imagination” not based on a rational judgement but on a sense of shared vulnerability that is precisely evoked by the literary depiction of the dying.
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Postdisciplinarity makes claims on ontological, epistemic, and methodological levels, but it is inevitably a personal philosophical stance. This article represents an existentialist approach to the discourse on postdisciplinarity, offering reflective narratives of three academics. Tomas Pernecky discusses creativity, criticality, freedom, and methodological and epistemic pluralism; Ana María Munar reveals her journey of epistemological awakening; and Brian Wheeller underscores the importance of researchers' subjective and emotive voice. Jointly, the authors depict postdisciplinarity as an invitation to conceptual and interpretive eclecticism, critical analysis, and creative problem solving.
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Depicting news graphically is considered an apt way to deal with two challenges of modern journalism: to disclose big data, and present the news attractively, visually, and fast to grasp. Newsrooms try their hand at it and are figuring out how to organize production of information visualizations effectively. This study delves into reported obstacles and challenges for the production of news visualizations and suggests that enhancing the quality of information visualization in news media, asks for a clear view on what information visualization means for the production of news, rather than only stimulating journalist to acquire new skills
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This article investigates possible pathways of habitus change by informal tourism entrepreneurs in Thailand. Bourdieu's concept of habitus is depicted as a person's understanding of the world. Do people adapt their worldview in response to only external stimuli? Through ethnographic fieldwork including participant observations and active semi-structured interviews with 53 participants, this paper identifies a classification of four modes of habitus adaptation: (1) Understanding and appreciating the field and its conditions, (2) Challenging core beliefs systems, (3) Applying a practical sense to ‘objective possibilities’, and, (4) Challenging non-reflective dispositions. We argue that charting the modes of habitus adaptation could help policymakers understand the change processes of informal entrepreneurs in the tourism sector and their willingness to change.
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