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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The research issue in this study is how to structure collaborative learning so that it improves solving physics problems more than individual learning. Structured collaborative learning has been compared with individual learning environments with Schoenfeld's problem-solving episodes. Students took a pre-test and a post-test and had the opportunity to solve six physics problems. Ninety-nine students from a secondary school in Shanghai participated in the study. Students who learnt to solve problems in collaboration and students who learnt to solve problems individually with hints improved their problem-solving skills compared with those who learnt to solve the problems individually without hints. However, it was hard to discern an extra effect for students working collaboratively with hints - although we observed these students working in a more structured way than those in the other groups. We discuss ways to further investigate effective collaborative processes for solving physics problems.
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Explicit language objectives are included in the Swedish national curriculum for mathematics. The curriculum states that students should be given opportunities to develop the ability to formulate problems, use and analyse mathematical concepts and relationships between concepts, show and follow mathematical reasoning, and use mathematical expressions in discussions. Teachers’ competence forms a crucial link to bring an intended curriculum to a curriculum in action. This article investigates a professional development program, ‘Language in Mathematics’, within a national program for mathematics teachers in Sweden that aims at implementing the national curriculum into practice. Two specific aspects are examined: the selection of theoretical notions on language and mathematics and the choice of activities to relate selected theory to practice. From this examination, research on teacher learning in connection to professional development is proposed, which can contribute to a better understanding of teachers’ interpretation of integrated approaches to language and mathematics across national contexts.
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We are well into the 21st century now and the urgency for lifelong learning is growing especially regarding numeracy. There are major societal and policy pressures on education to prepare citizens for a complex and technologized society, in literature referred to as “21st century skills” (Voogt & ParejaRoblin, 2012), “global competences” (OECD, 2016a) or “the 4th industrial revolution” (Schwab, 2016). International research has demonstrated the economic and social value of literacy and numeracy knowledge and skills (Hanushek and Wöbmann, 2012; Grotlüschen, et al. 2016). With respect to numeracy (and/or mathematics) education, we explore the implications of these pressures to the mathematical demands at individuals living and working in modern life, and what is expected from numeracy education as society moves further into the 21st century. New means of communication and types of services have changed the way individuals interact with governments, institutions, services and each other, and social and economic transformations have in turn, changed the nature of the demand for skills as well.
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Purpose: Food waste occurs in every stage of the supply chain, but the value-added lost to waste is the highest when consumers waste food. The purpose of this paper is to understand the food waste behaviour of consumers to support policies for minimising food waste. Design/methodology/approach: Using the theory of planned behaviour (TPB) as a theoretical lens, the authors design a questionnaire that incorporates contextual factors to explain food waste behaviour. The authors test two models: base (four constructs of TPB) and extended (four constructs of TPB plus six contextual factors). The authors build partial least squares structural equation models to test the hypotheses. Findings: The data confirm significant relationships between food waste and contextual factors such as motives, financial attitudes, planning routines, food surplus, social relationships and Ramadan. Research limitations/implications: The data comes from an agriculturally resource-constrained country: Qatar. Practical implications: Food waste originating from various causes means more food should flow through the supply chains to reach consumers’ homes. Contextual factors identified in this work increase the explanatory power of the base model by 75 per cent. Social implications: Changing eating habits during certain periods of the year and food surplus have a strong impact on food waste behaviour. Originality/value: A country is considered to be food secure if it can provide its citizens with stable access to sufficient, safe and nutritious food. The findings and conclusions inform and impact upon the development of food waste and food security policies.
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This study aims to map VE teachers’ perceived importance of assessment competence. The study was conducted in the Netherlands among teachers of professional studies in Universities of Applied Sciences. A large-scale study was conducted to represent a broad population of teachers, including various vocational fields, roles, and situations, allowing for the exploration of differences across these contextual variables.
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Obesity is a fast-growing societal threat, causingchronic conditions, physical and psychological health problems,as well as sickness absence and heavy healthcare costs. Despitenumerous attempts to promote physical activity and healthydiet, existing interventions do not focus on the commonemotional causes of obesity. There is a need for self-managementsupport of this vulnerable target group: emotional eaters. Thispaper presents the results of the design case study focusing on aholistic design and evaluation of a personalised virtual mHealthcoach that provides self-management training ‘Denk je zèlf!’(Dutch for ‘Develop a wise mind and counsel yourself’). Thetarget group are young adults with an emotional eating disorderand who are obese. The contextual inquiry study was conductedto gain insights into the needs and experiences of the targetusers, including interviews and questionnaires with emotionaleaters, patients undergoing obesity treatment, and healthcarepractitioners. Personas and the use-case scenario were derivedfrom these results and translated into the new ‘Denk je zèlf!’virtual coach, based on Dialectical Behaviour Therapy andexperience sampling measures to capture user experience andemotional state. The main contributions of this paper are: (a)combining holistic eHealth design, behavior chain analysis, anddialectic behaviour therapy in one personalised virtual mHealthcoaching application for emotional eaters; (b) applying emotionenrichedPersonas to guide the design; (c) the results of theinitial user evaluation. Preliminary results suggest that the‘Denk je zèlf!’ virtual coach is useful for helping the targetgroup. Future research will be aimed at further iterative (re)-design and evaluation, as well as development of the dialecticaldialogues for the virtual coach and content for the education andinstruction modules.
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