Students’ reasons for preferring teleological explanations

The teleological bias, a major learning obstacle, involves explaining biological phenomena in terms of purposes and goals. To probe the teleological bias, researchers have used acceptance judgement tasks and preference judgement tasks. In the present study, such tasks were used with German high school students (N?=?353) for 10 phenomena from human biology, that were explained both teleologically and causally. A sub-sample (n?=?26) was interviewed about the reasons for their preferences. The results showed that the students favoured teleological explanations over causal explanations. Although the students explained their preference judgements etiologically (i.e. teleologically and causally), they also referred to a wide range of non-etiological criteria (i.e. familiarity, complexity, relevance and five more criteria). When elaborating on their preference for causal explanations, the students often focused not on the causality of the phenomenon, but on mechanisms whose complexity they found attractive. When explaining their preference for teleological explanations, they often focused not teleologically on purposes and goals, but rather on functions, which they found familiar and relevant. Generally, students’ preference judgements rarely allowed for making inferences about causal reasoning and teleological reasoning, an issue that is controversial in the literature. Given that students were largely unaware of causality and teleology, their attention must be directed towards distinguishing between etiological and non-etiological reasoning. Implications for educational practice as well as for future research are discussed.     

Constructing scientific explanations through premise–reasoning–outcome (PRO): an exploratory study to scaffold students in structuring written explanations

This paper reports on the design and enactment of an instructional strategy aimed to support students in constructing scientific explanations. Informed by the philosophy of science and linguistic studies of science, a new instructional framework called premise–reasoning–outcome (PRO) was conceptualized, developed, and tested over two years in four upper secondary (9th–10th grade) physics and chemistry classrooms. This strategy was conceptualized based on the understanding of the structure of a scientific explanation, which comprises three primary components: (a) premise – accepted knowledge that provides the basis of the explanation, (b) reasoning – logical sequences that follow from the premise, and (c) outcome – the phenomenon to be explained. A study was carried out to examine how the PRO strategy influenced students’ written explanations using multiple data sources (e.g. students’ writing, lesson observations, focus group discussions). Analysis of students’ writing indicates that explanations with a PRO structure were graded better by the teachers. In addition, students reported that the PRO strategy provided a useful organizational structure for writing scientific explanations, although they had some difficulties in identifying and using the structure. With the PRO as a new instructional tool, comparison with other explanation frameworks as well as implications for educational research and practice are discussed.     

Students’ intuitive explanations of the causes of homologies and adaptations

This paper reports data from a study aiming to explore secondary students’ preconceptions and explanations about evolutionary processes. Students may exhibit both alternative and scientifically acceptable conceptions and bring different ones into play in response to different problem contexts. Hence, the examination of their explanations before instruction within different problem contexts is expected to highlight the concepts that instruction should put more emphasis on. To achieve this, an open-ended questionnaire in conjunction with semi-structured interviews was used to allow students to express their own views on issues related to evolution. Students’ explanations highlighted their lack of knowledge of important evolutionary concepts such as common descent and natural selection. In addition, many students explained the origin of traits as the result of evolution through need via purposeful change or as carefully designed adaptations. Rather than evolutionary, final causes formed the basis for the majority of students’ explanations. In many cases students provided different explanations for the same process to tasks with different content. It seems that the structure and the content of the task may have an effect on the explanations that students provide. Implications for evolution education are discussed and a minimal explanatory framework for evolution is suggested.     

Visualization and its role in students’ assessment of scientific explanations

It is argued that an important first stage in students’ assessment of scientific explanations is that of visualization. A test of visualization is developed and the results for students in their first year of university education are presented. Certain characteristics of defective visualization and the circumstances in which blocks to satisfactory explanation assessment are created emerge rather clearly.

     

Fifth-grade students’ use and preferences for mathematically and practically based explanations

This paper focuses on fifth-grade students’ use and preference for mathematically (MB) and practically based (PB) explanations within two mathematical contexts: parity and equivalent fractions. Preference was evaluated based on three parameters: the explanation (1) was convincing, (2) would be used by the student in class, and (3) was one that the student wanted the teacher to use. Results showed that students generated more MB explanations than PB explanations for both contexts. However, when given a choice between various explanations, PB explanations were preferred in the context of parity, and no preference was shown for either type of explanation in the context of equivalent fractions. Possible bases for students’ preferences are discussed.     

Are instructional explanations more effective in the context of an impasse?

Effective instructional explanations help the students to construct coherent mental representations. To do so, one condition is that they must be tailored to students’ needs. It is hypothesized that explanations are more helpful if they also explicitly aid the students to detect problems in their mental representations, as this provokes an impasse that motivates students to process the explanation deeply. Participants were provided with a computer-based material on plate tectonics and then with explanatory support in the form of either a tailored explanation preceded by an impasse-trigger (I + E group) or an identical explanation without the impasse-trigger (noI + E group). After the reading of the materials they solved retention and transfer tests; their flawed ideas were also counted. Participants in the I + E group recalled more correct information, generated more transfer solutions, and showed fewer flawed ideas than those in the noI + E group. This indicates that tailored explanations combined with impasse-triggers that make explicit conflicts between the text model and the students′ models can indeed foster deep learning.     

Malaysian and Australian children’s representations and explanations of numeracy problems

Two developments have contributed to the convergence of views about the benefits of real-life and inquiry-based pedagogies in mathematics learning. First, the mathematics teaching community is increasingly focused on the learning of mathematics that involves the transfer of prior knowledge to novel problem-solving situations, a key element in recent characterizations of the notion of Numeracy. Second, research about human cognition in domain-specific learning suggests that problem-solving activity provides better contexts in which to observe the construction of creative connections of disparate information. The question is how can we examine the above cognitive processes, as these are played out in Numeracy contexts? (Tan, Educ Res Policy Pract 6:101–114, 2007) identified dialogue and inquiry as important themes of the psychology that girds problem-based learning. In this report, we take up Tan’s suggestion that research needs to make learner’s cognition more visible by immersing a cohort of Malaysian and Australian students in arithmetic word problems. Students were required to explain and justify their solutions. The frameworks of dialogue representation and schema guided our analyses that focused on students’ readings, explanations, representations and reflections about a given set of problem contexts. Results showed that both the groups experienced difficulty in representing far-transfer numeracy problems. However, Australian children tended to develop longer and more varied explanations in comparison to their Malaysian counterparts. Potential implications for classroom practices, policy-making and future research directions are explored.     

Diversification? Trends and explanations of the shape and size of higher education

Debates and policies in Europe as regards the diversity of higher education institutions and programmes have changed substantially over the years. When expansion of the rate of new entry students was expected to grow beyond 10%, diversification between types of higher education institutions became the most popular option, whereas no consensus emerged as far as the extent of diversity and the most desirable classifications are concerned. In the 1980s, attention shifted gradually towards “vertical” differences among institutions of formally the same type. Since the 1990s, more extreme modes of vertical diversity were more frequently advocated as options to embark into world-wide competition for “world-class university”. The concurrent popular debates are criticized as blaming moderate vertical inter-institutional diversity, emphasis on intra-institutional diversity, efforts to put prime emphasis on a variety of profiles of any model other than extreme vertical diversity as counteracting “quality”, although evidence for the superiority of the model praised is feeble.     

Accounting for unexpected test responses through examinees’ and their teachers’ explanations

Researchers have developed indices to identify persons whose test results ‘misfit’ and are considered statistically ‘aberrant’ or ‘unexpected’ and whose measures are consequently potentially invalid, drawing the test’s validity into question. This study draws on interviews of pupils and their teachers, using a sample of 31 10‐year‐olds who were flagged as most ‘aberrant’ in a standardised mathematics test. The children’s and their teachers’ explanations were analysed and attributed: (i) to item‐, person‐ (self/other) and classroom‐levels; and ii) according to causal dimensions. Children’s and teachers’ explanations were mostly in agreement in relation to unexpected negative results and they included references to previously well‐cited sources of construct‐irrelevant variance (e.g. ineffective test‐taking strategies, careless mistakes) as well as construct‐relevant variance (e.g. misconceptions, weaknesses in particular topics). Findings of this exploratory study are discussed from a test validity and attribution theory perspective: we conclude that this approach offers grounds for multi‐level explanations of person misfit and that this qualitative research approach to unexpected responses is worthy of more attention.     

Exploring Israeli high school graduates’ explanations for the spread of the coronavirus

Educational Studies in Mathematics - The aim of this study is to explore Israeli high school graduates’ mathematical explanations for the spread of the coronavirus, given that the mathematics...     

Investigating teachers’ explanations for aggressive classroom discipline strategies in China and Australia

Student misbehaviour can provoke aggressive teacher management (e.g. yelling in anger), adversely effecting students’ learning and attitudes toward school. To investigate this phenomenon, data were obtained from 75 Chinese (typically Eastern) and 192 Victorian (typically Western) secondary teachers who self-reported aggressive management. Results: 49% of Chinese and 59% of Australian teachers adopt aggressive behaviours rarely to sometimes; and, 9% of Chinese and 13% of Australian teachers sometimes or more frequently. The teachers were assessed for levels of support for Attribution, Attachment or Efficacy theory as explanations. The only significant differences were found for Attachment theory with Chinese teachers reporting significantly more support. National setting explained 29% of the variance independent of gender, levels of aggression and years of experience.     

Students’ model-based explanations about natural selection and antibiotic resistance through socio-scientific issues-based learning

Antibiotic resistance (ABR) is a significant contemporary socio-scientific issue. To engage in informed reasoning about ABR, students need to understand natural selection. A secondary science unit was designed and implemented, combining an issues-based approach and model-based reasoning, to teach students about natural selection and ABR. This sequential explanatory mixed methods study explored students’ explanations of natural selection. Students created model-based explanations (MBEs) about ABR and verbally explained generalised natural selection during semi-structured interviews. Students’ MBEs significantly increased in natural selection content, and misconceptions about natural selection and ABR significantly decreased after the unit. However, students’ explanations of generalised natural selection differed from ABR explanations. Students struggled to include mutation as the cause of initial variation when explaining generalised natural selection, whereas students included mutation when explaining ABR but often did so after selection pressure. Qualitative analysis indicated students correctly explained ABR or correctly explained generalised natural selection, but none correctly explained both. Students who did understand ABR struggled to apply their understanding to a context other than ABR. This study demonstrates contextual differences in students’ natural selection ideas and provides implications for natural selection instruction. While ABR is a compelling issue to contextualise natural selection instruction, it may be problematic.     

Exploring one student’s explanations at different ages: the case of Sharon

This study describes the types of explanations one student, Sharon, gives and prefers at different ages. Sharon is interviewed in the second grade regarding multiplication of one-digit numbers, in the fifth grade regarding even and odd numbers, and in the sixth grade regarding equivalent fractions. In the tenth grade, she revisits each of these concepts again. The study investigates the different forms Sharon’s explanations take at different ages as well as how she perceives the nature of mathematical explanations at different ages. Sharon’s explanations are also used to investigate her conceptualization of the number zero, a concept which runs across the curriculum at different ages. Finally, the study explores a method for investigating the long-term mathematical development of one student. Implications for future research are discussed.     

Mathematically based and practically based explanations in the elementary school: teachers’ preferences

This article focuses on elementary school teachers’ preferences for mathematically based (MB) and practically based (PB) explanations. Using the context of even and odd numbers, it explores the types of explanations teachers generate on their own as well as the types of explanations they prefer after reviewing various explanations. It also investigates the basis for these preferences. Results show that teacher-generated explanations include more MB explanations than PB explanations. However, many still choose to use mostly PB explanations in their classrooms, believing that these explanations will be most convincing to their students. The implications for teacher education are discussed.     

Beyond Epistemological Deficits: Dynamic explanations of engineering students’ difficulties with mathematical sense-making

Researchers have argued against deficit-based explanations of students’ difficulties with mathematical sense-making, pointing instead to factors such as epistemology. Students’ beliefs about knowledge and learning can hinder the activation and integration of productive knowledge they have. Such explanations, however, risk falling into a ‘deficit trap’—substituting a concepts/skills deficit with an epistemological one. Our interview-based case study of a freshman engineering major, ‘Jim,’ explains his difficulty solving a physics problem (on hydrostatic pressure) in terms of his epistemology, but avoids a deficit trap by modeling the dynamics of his epistemological stabilities and shifts in terms of fine-grained cognitive elements that include the seeds of epistemological expertise. Specifically, during a problem-solving episode in the interview, Jim reaches and sticks with an incorrect answer that violates common sense. We show that Jim has all the mathematical skills and physics knowledge he would need to resolve the contradiction. We argue that his difficulty doing so stems in part from his epistemological views that (i) physics equations are much more trustworthy than everyday reasoning, and (ii) physics equations do not express meaning that tractably connects to common sense. For these reasons, he does not view reconciling between common sense and formalism as either necessary or plausible to accomplish. But Jim’s in-the-moment shift to a more sophisticated epistemological stance highlights the seeds of epistemological expertise that were present all along: he does see common sense as connected to formalism (though not always tractably so), and in some circumstances, this connection is both salient and valued.     

Analogical reasoning for understanding solution rates: students’ conceptual change and chemical explanations

The study aims to demonstrate evidence of (a) students’ conceptual change on solution rates; (b) students’ sub‐microscopic explanations of dissolution; and (c) retention of the concepts of solution rates. The sample consists of 44 Grade 9 students (18 boys and 26 girls) drawn purposively from two different classes (22 each) in the city of Trabzon, Turkey. The current study incorporates multiple methods of data collection: items from a solution concept test, clinical interviews and examination of students’ self‐assessment tasks. The results reveal that there is a statistically significant difference between scores in pre‐test and post‐test and between pre‐test and delayed test (p < 0.05). This research indicates that the intervention has improved students’ understanding of the conceptual relationship between solution rates and the sub‐microscopic explanation of dissolution. It has also helped in overcoming students’ alternative conceptions to some extent. However, alternative conceptions have not been eliminated completely. In the light of the results, this current study suggests that a simple model such as the four‐step constructivist teaching (4E) is efficient.     

Epistemic explanations for divergent evolution in discourses regarding students’ extended historical writing in England

In England, two concurrent but largely disconnected discourses have emerged whose representatives have promulgated initiatives relevant to students’ extended historical writing: genre theorists and the history teachers’ ‘extended writing movement’. Despite certain goals held in common, the two discourses have tended to talk past one another resulting in wastage, incoordination and replication in resourcing. One reason for these divergent discourses is that inter-discursive communication is difficult owing to epistemic differences regarding what the curricular goals regarding students’ extended historical writing should be. Using Bernstein’s model for the production of pedagogic knowledge as an interpretative framework, first I explain these discourses’ differing curricular conceptions by characterizing it as a tension between contrasting emphases on ‘recontextualization’ and ‘reproduction’ of academic knowledge. Second, as a representative of the extended writing movement, I offer a theoretical critique of genre theorists’ greater concentration on the field of reproduction. Third, I situate these developments in England in an international context by briefly comparing them to trends in the United States. Finally, I argue that these epistemic tensions regarding curricular goals matter and need to be resolved. Otherwise, the recommendations of the representatives of both discourses are destined to appeal to only limited audiences.     

Mathematics in English education 1860–1914: Some questions and explanations in curriculum history

Sherlock Holmes. Look at those big isolated clumps of buildings rising up above the slates, like brick islands in a lead coloured sea.

Watson. The Board Schools.

Holmes. Lighthouses, my boy! Beacons of the future! Capsules, with hundreds of bright little seeds in each out of which will spring the wiser, better England of the future.