From Addition to Multiplication … and Back: The Development of Students’ Additive and Multiplicative Reasoning Skills

This study builds on two lines of research that have so far developed largely separately: the use of additive methods to solve proportional word problems and the use of proportional methods to solve additive word problems. We investigated the development with age of both kinds of erroneous solution methods. We gave a test containing missing-value problems to 325 third, fourth, fifth, and sixth graders. Half of the problems had an additive structure and half had a proportional structure. Moreover, in half of the problems the internal and external ratios between the given numbers were integer, while in the other cases numbers were chosen so that these ratios were noninteger. The results indicate a development from applying additive methods “anywhere” in the early years of primary school to applying proportional methods “anywhere” in the later years. Between these two stages many students went through an intermediate stage where they simultaneously applied additive methods to proportional problems and proportional methods to additive problems, switching between them based on the numbers given in the problem.     

Scientists’ Argumentative Reasoning

Reasoning, defined as the production and evaluation of reasons, is a central process in science. The dominant view of reasoning, both in the psychology of reasoning and in the psychology of science, is of a mechanism with an asocial function: bettering the beliefs of the lone reasoner. Many observations, however, are difficult to reconcile with this view of reasoning; in particular, reasoning systematically searches for reasons that support the reasoner’s initial beliefs, and it only evaluates these reasons cursorily. By contrast, reasoners are well able to evaluate others’ reasons: accepting strong arguments and rejecting weak ones. The argumentative theory of reasoning accounts for these traits of reasoning by postulating that the evolved function of reasoning is to argue: to find arguments to convince others and to change one’s mind when confronted with good arguments. Scientific reasoning, however, is often described as being at odds with such an argumentative mechanisms: scientists are supposed to reason objectively on their own, and to be pigheaded when their theories are challenged, even by good arguments. In this article, we review evidence showing that scientists, when reasoning, are subject to the same biases as are lay people while being able to change their mind when confronted with good arguments. We conclude that the argumentative theory of reasoning explains well key features of scientists’ reasoning and that differences in the way scientists and laypeople reason result from the institutional framework of science.     

Middle-School Students’ Reasoning About Alternative Hypotheses in a Scaffolded,Software-Based Inquiry Investigation

The examination of alternative hypotheses can initiate students into scientific practices and equip them with scientific literacy skills that will help them participate in ongoing debates involving complex socio-scientific problems. Hypothesis testing, in which the examination of alternative hypotheses is situated, has received much attention in the literature. However, the topic of alternative hypotheses has not been examined as extensively in scaffolded data-rich instructional interventions. This article contributes to that body of knowledge by reporting on middle-school students’ inquiry practices as they relate to considering alternative hypotheses of their data. Specifically, the article reports a multiple-case study examining six pairs’ reasoning as they try to solve a data-rich, scientific problem, scaffolded by the software investigation, the task setup, and the teacher. The students’ generation and testing of alternative hypotheses was examined through students’ discourse, actions, inquiry products, and interactions with their teacher and peers. Pre–post assessment analyses showed statistically significant learning gains while the analyses of the students’ inquiry discourse and actions indicated that the scaffolding contributed to students’ inquiry. However, several epistemological problems surfaced relating to students’ perception of the usefulness of examining and communicating alternative explanations. These findings indicate the importance of epistemologically targeted discourse alongside guided inquiry experiences, and underline the need for further examination of appropriate scaffolding to support students’ scientific reasoning processes.     

The Precalculus Concept Assessment: A Tool for Assessing Students’ Reasoning Abilities and Understandings

This article describes the development of the Precalculus Concept Assessment (PCA) instrument, a 25-item multiple-choice exam. The reasoning abilities and understandings central to precalculus and foundational for beginning calculus were identified and characterized in a series of research studies and are articulated in the PCA Taxonomy. These include a strong understanding of ideas of rate of change and function, a process view of function, and the ability to use covariational reasoning to examine and represent how two covarying quantities change together. This taxonomy guided the PCA development and now provides the theoretical basis for interpreting and reporting PCA results. A critical element of PCA's design was to identify the constructs essential for learning calculus and to employ methods to assure that PCA items are effective in assessing these constructs. We illustrate the role that cognitive research played during both the design and validation phases of the PCA instrument. We also describe our Four-Phase Instrument Development Framework that articulates the methods used to create and validate PCA. This framework should also be useful for others interested in developing similar instruments in other content areas. The uses of PCA are described and include (a) assessing student learning in college algebra and precalculus, (b) comparing the effectiveness of various curricular treatments, and (c) determining student readiness for calculus.     

Students’ Reasoning About Whether to Report When Others Cheat: Conflict,Confusion, and Consequences

Journal of Academic Ethics - Nearly all students believe academic cheating is wrong, yet few students say they would report witnessed acts of cheating. To explain this apparent tension, the present...     

Adolescents’ Social Reasoning About Relational Aggression

We examined early adolescents’ reasoning about relational aggression, and the links that their reasoning has to their own relationally aggressive behavior. Thinking about relational aggression was compared to thinking about physical aggression, conventional violations, and personal behavior. In individual interviews, adolescents (N = 103) rated the acceptability of relational aggression, physical aggression, conventional violations, and personal behavior, and justified their ratings. Results indicated that adolescents’ views about relational aggression are complex. Although gossip was viewed as very wrong (comparable to beliefs about physical aggression), exclusion was perceived to be somewhat acceptable (less wrong than conventional violations, but more wrong than personal behaviors). With regard to associations between beliefs about aggression and aggressive behavior, the results indicated that beliefs about gossip were associated with gossiping behavior, and that beliefs about physical aggression were associated with physically aggressive behavior. No links emerged between beliefs about exclusion and exclusionary behavior. Implications and suggestions for future research are discussed within the frameworks of social domain theory and social information processing models of aggressive behavior.     

The Relationships Between Korean University Students’ Reading Attitude,Reading Strategy Use,and Reading Proficiency

This present study investigated the relationships among L2 readers’ reading attitude, reading strategy use, and reading proficiency in order to identify patterns caused by individuals’ differences. For this study, 153 Korean university students replied to a reading attitude and reading strategy questionnaire. An ANOVA and frequency analysis were employed to analyze the data. The results showed that of the six components used to measure reading attitude in this study, only discomfort was found to be related to reading proficiency. With regards to reading strategy use, metacognitive strategy use was identified as having a significant relationship with reading proficiency, suggesting its important role in reading skill. Interestingly, discomfort and linguistic value were more closely associated with their cognitive strategy use, while comfort and intellectual value were strongly related to metacognitive strategy use. The pedagogical implications based on the findings from this study are offered to assist students in developing their L2 reading skills.     

Medical Students’ Gender Awareness

Gender awareness in medicine consists of two attitudinal components: gender sensitivity and gender-role ideology. In this article, the development of a scale to measure these attitudes in Dutch medical students is described. After a pilot study and a feasibility study, 393 medical students in The Netherlands responded to a preliminary instrument consisting of 82 items (response rate 61.3%). Reliability and validity were established. A gender awareness scale containing a gender sensitivity subscale (14 items), and gender stereotypes towards patients (11 items) as well as towards doctors (7 items) was developed. The instrument may be used for research purposes to evaluate gender awareness raising courses.     

Deontic Reasoning With Emotional Content: Evolutionary Psychology or Decision Theory?

Three experiments investigated the contrasting predictions of the evolutionary and decision-theoretic approaches to deontic reasoning. Two experiments embedded a hazard management (HM) rule in a social contract scenario that should lead to competition between innate modules. A 3rd experiment used a pure HM task. Threatening material was also introduced into the antecedent, p, of a deontic rule, if p then must q. According to the evolutionary approach, more HM responses (Cosmides & Tooby, 2000) are predicted when p is threatening, whereas decision theory predicts fewer. All 3 experiments were consistent with decision theory. Other theories are discussed, and it is concluded that they cannot account for the behavior observed in these experiments.     

Applying Relational and Contextual Reasoning (RCR) to Understand Human–Divine Relationships

The topic of human–divine relationships invites reflection from multiple perspectives. This paper explores methodological issues related to the coordination of psychological, neurobiological and theological accounts of divine–human relationships. In particular, biological and psychological work relating to human attachment relationships are considered in relation to Christian understandings of God as Trinity. The approach of relational and contextual reasoning (RCR), a type of complementarity proposed by K. Helmut Reich, is proposed as one means of exploring relationships between some of the accounts suggested by contemporary work in the three disciplines of psychology, neurobiology and theology.     

Gaming, Texting, Learning? Teaching Engineering Ethics Through Students’ Lived Experiences With Technology

This paper examines how young peoples’ lived experiences with personal technologies can be used to teach engineering ethics in a way which facilitates greater engagement with the subject. Engineering ethics can be challenging to teach: as a form of practical ethics, it is framed around future workplace experience in a professional setting which students are assumed to have no prior experience of. Yet the current generations of engineering students, who have been described as ‘digital natives’, do however have immersive personal experience with digital technologies; and experiential learning theory describes how students learn ethics more successfully when they can draw on personal experience which give context and meaning to abstract theories. This paper reviews current teaching practices in engineering ethics; and examines young people’s engagement with technologies including cell phones, social networking sites, digital music and computer games to identify social and ethical elements of these practices which have relevance for the engineering ethics curricula. From this analysis three case studies are developed to illustrate how facets of the use of these technologies can be drawn on to teach topics including group work and communication; risk and safety; and engineering as social experimentation. Means for bridging personal experience and professional ethics when teaching these cases are discussed. The paper contributes to research and curriculum development in engineering ethics education, and to wider education research about methods of teaching ‘the net generation’.     

‘As if’ Reasoning in Vaihinger and Pasch

Hans Vaihinger tried to explain how mathematical theories can be useful without being true or even coherent, arguing that mathematicians employ a special kind of fictional or “as if” reasoning that reliably extracts truths from absurdities. Moritz Pasch insisted that Vaihinger was wrong about the incoherence of core mathematical theories, but right about the utility of fictional discourse in mathematics. This essay explores this area of agreement between Pasch and Vaihinger. Pasch’s position raises questions about structuralist interpretations of mathematics.     

Students’ Ethical Behavior in Iran

Most of research on fostering ethical behavior among students has taken place in US and Europe. This paper seeks to provide additional information to both educators and organizations about the ethical perceptions of Iranian students by investigating the effect of gender on students’ ethical behavior. The authors developed and administered a quantitative questionnaire to a sample of 203 individuals currently pursuing accredited degrees at one of the public universities in Iran. Statistical analysis revealed that male students have a significantly less ethical behavior in three factors (selfishness, academic cheating and computer ethics) than female students. While the topic of students’ ethical behavior and its relationship with gender has been extensively studied before, there have been contrasting findings by different researchers. This paper is among the very few first researches conducted among Iranian university students to investigate the effects of gender on students’ ethical behavior under the four categories of violation of school regulations, selfishness, academic cheating, and computer ethics, hence making an important contribution to the ethics literature on the developing countries, since the study was conducted in Iran.     

Bidirectional Links Between Teachers’ Disciplinary Practices,Students’ Peer Status,and Students’ Aggression in Kindergarten

Research on Child and Adolescent Psychopathology - This study examined bidirectional links between teachers’ disciplinary practices (punitive and educational), students’ peer status in...     

Does Analogical Reasoning With Visual Clues Affect Novice and Experienced Design Students' Creativity?

Design students' creative thinking abilities should be enhanced. Yet the educational tools that will lead to this goal are not entirely clear. Thus, this study aimed to investigate whether analogical reasoning with visual clues could help to achieve this goal. The Torrance Tests of Creative Thinking (TTCT)–Figural form was given 103 undergraduate students in a design-based program. Novice and experienced design students' creative-thinking skills were tested under 3 conditions: with (a) no visual clues, (b) few visual clues, or (c) many visual clues. The results showed that (a) the presence of visual clues enhanced some aspects of creativity (fluency and flexibility); (b) compared to experienced design students, novice design students showed better performance on some aspects of creative potential (elaboration); and (c) the number of visual clues influenced novice and experienced students differently. Whether the results will apply to different subject groups and methodological situations remains to be seen. Still, findings of this study have practical implications for design education. To enhance creative thinking skills, instructors may encourage design students' use of visual clues.     

Relationships between Turkish Eighth-Grade Students’ Oral Reading Efficacy,Reading Comprehension and Achievement Scores on a High-Stakes Achievement Test

The present study aimed to explore the relation between students’ oral reading efficacy, reading comprehension, and academic performance on a nationwide high school placement exam (TEOG). The students were selected from a public middle school. The students’ oral reading efficacy, comprehension, and TEOG achievement scores were obtained to figure out the relations between them. The students’ TEOG results were obtained from the school administration. The findings revealed that there were statistically significant relations between oral reading efficacy, reading comprehension and TEOG achievements. Particularly, students’ reading comprehension and accuracy skills together explained 57% of variance in overall TEOG achievements.     

Positive Feelings at School: On the Relationships Between Students’ Character Strengths,School-Related Affect,and School Functioning

The present study was designed to examine the relationships between students’ character strengths, school-related affect, positive school functioning (i.e., motivation to learn, interest, and engagement at class), and school achievement following the “engine model of well-being” that is focusing on inputs (e.g., personality traits), processes (e.g., moods, emotions), and outcomes (e.g., engagement, accomplishments) within the context of well-being research. A sample of 196 children completed the Values in Action Inventory of Strengths for Youth, which assesses 24 character strengths, and the PANAS-C that assesses school-related positive and negative affect. Additionally, homeroom teachers rated students’ positive school functioning (i.e., motivation, engagement, and interest at school) and their overall school achievement. The character strengths of zest, love of learning, perseverance, and social intelligence showed the strongest positive correlations with school-related positive affect. Teamwork, hope, self-regulation, and love were substantially negatively correlated with school-related negative affect. Certain character strengths showed positive relationships with positive school functioning and overall school achievement. A path model, testing the “engine model of well-being”, found—additionally to direct effects—indirect relationships between character strengths and positive school functioning (through school-related positive affect), which in turn leads to higher school achievement. The presented findings show character strengths as meaningful resources in the schooling context. Character strengths emerge to be crucial for students to experience school-related positive affect, which in turn supports students’ positive school functioning and their overall school achievement. The results demonstrate the complex interplay between students’ personality traits, affect, school functioning, and achievement at school.     

Shari’a Reasoning and the Justice of Religious War

Most contemporary advocates of the Just War Tradition (JWT) condemn religious war. If they are correct, waging war should be a secular affair, fully justifiable on non-religious grounds. This secularized understanding of the JWT draws on normative commitments that lead many political theorists to advocate in favor of a secularized politics in western liberal polities. As a matter of historical fact and contemporary commitment, many Muslims have rejected the secularized conception of the morality of war found in contemporary conceptions of the JWT. I argue that, given appropriate distinctions between relevantly different kinds of religious war, advocates of the JWT have excellent reason to rethink their antipathy to religious war. Specifically, I argue that distinct kinds of religious war can enjoy differential normative standing and that there is no compelling reason to believe that religiously justified wars must be waged in a morally improper manner, viz., in a way that violates the JWT's in bello requirements.