Intuitive Interference in Probabilistic Reasoning

One theoretical framework which addresses students’ conceptions and reasoning processes in mathematics and science education is the intuitive rules theory. According to this theory, students’ reasoning is affected by intuitive rules when they solve a wide variety of conceptually non-related mathematical and scientific tasks that share some common external features. In this paper, we explore the cognitive processes related to the intuitive rule more A–more B and discuss issues related to overcoming its interference. We focused on the context of probability using a computerized “Probability Reasoning – Reaction Time Test.” We compared the accuracy and reaction times of responses that are in line with this intuitive rule to those that are counter-intuitive among high-school students. We also studied the effect of the level of mathematics instruction on participants’ responses. The results indicate that correct responses in line with the intuitive rule are more accurate and shorter than correct, counter-intuitive ones. Regarding the level of mathematics instruction, the only significant difference was in the percentage of correct responses to the counter-intuitive condition. Students with a high level of mathematics instruction had significantly more correct responses. These findings could contribute to designing innovative ways of assisting students in overcoming the interference of the intuitive rules.     

The development of the concept of alive by preschoolers through a cognivive conflict teaching intervention

The aim of this research was the conceptual change and transformation of the intuitive conceptions of preschoolers concerning life through a cognitive—conflict teaching intervention. Young children use the criterion of movement to justify the classification of objects as living or non-living, that is classify plants as non-living because they are immobile and mobile non-alive objects as living. The concept of life includes many sub-concepts and movement is a secondary and not a universal characteristic of living organisms. The subjects of this research were chosen according to their replies concerning the classification of plants as non-living. Subjects of the experimental group received a teaching intervention aiming at the change of their conceptual context about life and focusing mainly at the dependence of an organism to its environment. In the teaching intervention we used the procedure of cognitive conflict through the juxtaposition of live organisms to dead ones and mobile simulations. Our results show that all the children of experimental group presented a conceptual change classifying the plant as alive and using explanations including the dependence on environment and other functions, increasing the number of criteria used for justification of the animal as living.     

From Young Children’s Ideas about Germs to Ideas Shaping a Learning Environment

This paper is concerned with highlighting young children’s ideas about the nature, location and appearance of germs, as well as their reasoning strands about germs’ ontological category and biological functions. Moreover, it is concerned with exploring how all these could be taken into account for shaping a potentially fruitful learning environment. Conducting individual, semi-structured interviews with 35 preschoolers (age 4.5–5.5) of public kindergartens in the broader area of Patras, we attempted to trace their ideas about what germs are, where they may be found, whether they are good or bad and living or non-living and how they might look like in a drawing. Moreover, children were required to attribute a series of biological functions to dogs, chairs and germs, and finally to create a story with germs holding a key-role. The analysis of our qualitative data within the “NVivo” software showed that the informants make a strong association of germs with health and hygiene issues, locate germs mostly in our body and the external environment, are not familiar with the ‘good germs’-idea, and draw germs as ‘human-like’, ‘animal-like’ or ‘abstract’ entities. Moreover, they have significant difficulties not only in employing biological functions as criteria for classifying germs in the category of ‘living’, but also in just attributing such functions to germs using a warrant. Finally, the shift from our findings to a 3-part learning environment aiming at supporting preschoolers in refining their initial conceptualization of germs is thoroughly discussed in the paper.     

When Intuition Beats Logic: Prospective Teachers’ Awareness of their <Emphasis Type="Italic">Same Sides – Same Angles</Emphasis> Solutions

This paper indicates that prospective teachers’ familiarity with theoretical models of students’ ways of thinking may contribute to their mathematical subject matter knowledge. This study introduces the intuitive rules theory to address the intuitive, same sides-same angles solutions that prospective teachers of secondary school mathematics come up with, and the proficiency they acquired during the course “Psychological aspects of mathematics education”. The paper illustrates how drawing participants’ attention to their own erroneous applications of same sides-same angles ideas to hexagons, challenged and developed their mathematical knowledge.     

An exploratory study into the complexity of relations between physics lecturers’ crafting of practice and students’ expectations of quality teaching

This study contributes to research that characterises the affective learning that is evoked and taken on by students in response to their perceptions of their contextual learning environments. Interview-discussions were held with lecturers of both introductory and higher-level physics courses (n = 3) concerning how they formulated their patterns of teaching in terms of a particular conceptual framing that they considered to best optimize making learning possible. Subsequently their students (n = 212) were asked with written questions, and some select follow-up interview-discussions, to describe what they expected from ‘a good physics lecturer’. The relationships between these two things—the lecturer’s crafting of practice and the students’ expectations of quality teaching—were investigated. Results show that students’ expectations tend to match their lecturers’ practice, indicating that students are strongly influenced by a contextually based appreciation of ‘good’ teaching.     

Enhancing Prospective Teachers’ Knowledge of Learners’ Intuitive Conceptions: The Case of <Emphasis Type="Italic">Same A</Emphasis>–<Emphasis Type="Italic">Same B</Emphasis>

This paper addresses the accumulating knowledge of prospective teachers of secondary school mathematics and their acquired proficiency during the course “Psychological aspects of mathematics education,” in which we discussed theoretical models including the intuitive rules theory. Participants’ performances are examined by means of an extensive report of two episodes, one during the course and one afterwards. These episodes marked different stages in the prospective teachers’ analysis of their own and of students’ solutions, which led me to conclude that exposing prospective teachers to the intuitive rules theory is important, since their familiarity with the theory provided them with a tool to reflect on their own mathematical solutions (subject matter knowledge; SMK), on others’ solutions, and on the tasks (pedagogical content knowledge; PCK).     

教育期望中的社会阶层差:父母的社会地位和子女教育期望的关系

To achieve the overall goals and purposes of education is closely related to the living environments of students. Different family backgrounds will put children into a situation where they face unfair competition. According to a survey conducted in China’s Urumqi and Changchun about parents’ awareness of educating their children, this paper will suggest that families with different backgrounds have different expectations for their children’s education. Moreover, it suggests that parents’ social status is related to their children’s education expectations. Therefore, we can find that parents’ social status influences their children’s education, and their positions in social class are related to education. __________ Translated from Qinghua Daxue Jiaoyu Yanjiu 清华大学教育研究 (Tsinghua Journal of Education), 2006, (4): 71–76     

“I have chosen another way of thinking”

The article builds upon a study where students’ relations to science are related to their worldviews and the kind of worldviews they associate with science. The aim of the study is to deepen our knowledge of how worldview and students’ ways to handle conflicts between their own worldview and the worldview they associate with science, can add to our understanding of students’ relations to science. Data consists of students’ responses to a questionnaire (N = 47) and to interviews (N = 26). The study shows that for students who have a high ability in science, those who have taken science-intense programmes in upper secondary school to a higher extent than others have worldviews in accordance with the worldviews they associate with science. This indicates that students who embrace a worldview different from the one they associate with science tend to exclude themselves from science/technology programmes in Swedish upper secondary school. In the article the results are presented through case studies of single individuals. Those students’ reasoning is related to the results for the whole student group. Implications for science teaching and for further research are discussed.     

Professional Competence and Intuitive Decision Making: A Simulation Study in the Domain of Emergency Medicine

Intuition presents as a crucial component of professional competence for many occupations, including emergency physicians because many of their decisions have to be made quickly. When arriving at the scene of an accident, they promptly have to assess the circumstances and initiate immediate life-saving measures without opportunities for deep analyses of patients’ conditions. Therefore, spontaneous and intuitive decisions are required to solve the problem appropriately, rather than more intentional and time-consuming forms of decision-making. Yet, the efficacy of and processes underpinning these intuitive activities remain far from fully understood or clearly conceptualised. The study reported here aims at revealing the efficacy of such intuition by analysing decision-making behaviour of emergency physicians. Based on patient simulation mannequins, which can be programmed to present specified clinical situations, three groups of participants with different levels of emergency medicine expertise (n ₁  = 10 novices, n ₂  = 10 semi-experts, n ₃  = 10 experts) each addressed two different authentic problem cases. In the first simulation, time pressure was utilised to press participants to decide intuitively. In the second simulation, the participants had to legitimise their decisions without any time pressure in order to generate rational decisions. Whereas no clear difference in the participants’ performances between both cases could be identified, experts and semi-experts performed better than novices in their intuitive decision-making, thereby supporting beliefs about the efficacy of intuition. It is proposed that medical education, as well as other forms of occupational preparation, should consider theories of mental simulations in order to improve surgeons’ professional education.     

Mystery Boxes: Helping Children Improve their Reasoning

   This guest editorial describes ways teachers can use guessing games about an unknown item in a “mystery box” to help children improve their abilities to listen to others, recall information, ask purposeful questions, classify items by class, make inferences, synthesize information, and draw conclusions. The author presents information from a qualitative analysis of 90 preservice teachers’ reflections on using mystery boxes with preschool through elementary students in urban public school settings in central New York State. Children were enthusiastic about the game, used a variety of strategies to generate questions, experienced difficulties in paying attention, remembering and synthesizing information, and had difficulty focusing on more than one characteristic at a time. Errors included repetition of questions and class inclusion/exclusion errors. Modeling, thinking out loud, and giving hints helped children become successful. Creating one’s own mystery box, exercises in identifying attributes and classifying items, and practice in questioning techniques are among suggested follow-on activities.     

Engaging Students in Science Across the Primary Secondary Interface: Listening to the Students’ Voice

Most studies indicate primary students’ attitudes towards and interest in science decline as they progress into the secondary years. Longitudinal qualitative research exploring this phenomenon is rare as is research which focuses on the students’ voice as they cross the interface. In this study multiple qualitative data sources, supported by a ‘science interest’ composite scale, followed 20 students over 2 years. In contrast to baseline data on their peers these students, in general, maintained their interest in science. Apart from identifying the teacher’s pedagogical approach and classroom environment as two key issues in understanding these students’ journeys, the importance of listening to and heeding the students’ voice may be an even more critical concern in addressing the decline in students’ attitudes and interest in science.     

Children’s Narrating as a Way of Learning About Other People’s Beliefs in Interaction with Teachers

As a genre of talk, narratives represent important building blocks in children’s learning in many fields. The purpose of the study presented in this article is to examine how teachers can encourage children’s learning about people’s beliefs through narrating. Narratives play an important part in children’s learning to understand other people and how they will act according to what they believe, think or know. This study is based on video observations of six children, 3 and 4 years old, and their spontaneous personal narratives told to teachers over a period of 8 months. The narrative analysis revealed that in most of the narratives the teachers were passive listeners or were concerned about the structure of events. The teachers seldom asked questions about the children’s mental state or disagreed with the child in ways that revealed their different beliefs. Suggestions about implications of this study are that early childhood teacher education should focus on talking with children about what they may think or believe concerning narrated events, and also reveal what they think and believe themselves.     

“Do I need research skills in working life?”: University students’ motivation and difficulties in quantitative methods courses

This study explored university students’ views of whether they will need research skills in their future work in relation to their approaches to learning, situational orientations on a learning situation of quantitative methods, and difficulties experienced in quantitative research courses. Education and psychology students in both Finland (N = 46) and the USA (N = 122), who thought that they would need research skills in their future work, differed significantly from the students who were not sure whether they would need these skills. The students, who considered research skills important for their future work, were more task-oriented, used a deeper approach to learning and experienced fewer difficulties in the learning of research skills than other students. This finding implies that experiences in learning, learning approaches and situational orientations are related to expectations about future work. For instruction, this means that if we were somehow able to change students’ experiences and orientations towards research into a more positive direction, students might be better prepared for their future work.     

Changing organizational culture and instructional methods in elementary schools: Perceptions of teachers and professional educational consultants

The present study examines teachers’ perceptions of organizational changes in their elementary schools. These changes occurred following the implementation of a long-term comprehensive school improvement project (CSIP). One hundred and seventy one teachers who taught in six elementary schools located in two different school districts in Israel responded to a questionnaire both before and after a period of 3 years during which they participated in a CSIP. The teachers, assisted by six professional consultants, one in each school, studied cooperative learning as well as new forms of collaborative staff work. The study addressed two primary research questions: What changes in teachers’ perceptions of their schools’ organizational culture emerged from teachers’ participation in the project? How were the professional relationships between the schools’ supervisors and the teachers in the two districts reflected in the teachers’ perception of school organizational changes? Results indicated that teachers in three schools from one district recorded a significant improvement in their perceptions of their schools’ organizational culture at the end of the project, whereas the teachers from the other district indicated either no change, or a significant decline in their evaluation of their schools’ organizational culture. A cross-validation of the teachers’ data was performed through a content analysis of 500 reports written over the course of 2 years, submitted by six external consultants. The analysis yielded four categories: general difficulties to work with the school’s staff, problems implementing the project, teacher resistance, and cancellations of planned meetings. The analysis provided valuable information as to why the teachers from the two districts differed in their reactions to the project.     

Preschoolers’ Perceptions of Gender Appropriate Toys and their Parents’ Beliefs About Genderized Behaviors: Miscommunication,Mixed Messages,or Hidden Truths?

Young children construct understandings of gender during the preschool years. They accurately apply common gender stereotypes to toys by the time they are three and readily predict their parents’ opinions about gender-typical and cross-gender play. This study involved 3- and 5-year-old children in identifying “girl toys” and “boy toys”. It also asked them to predict their parents’ reactions to their choices of gender-specific toys. These children’s parents were surveyed in an effort to describe their preferences about gender-specific toys and behaviors. Responses indicated that, in spite of evidence that many of these parents reject common gender stereotypes, their children predicted parents would consistently apply these stereotypes as reflected by their approval or disapproval of children’s choices to play with gender stereotyped or cross-gender toys. The mis-match between parents’ self-described beliefs and children’s perceptions of the messages they have received about genderized play are discussed.

Coping Strategies of Caribbean “Problem Students”

Abstract   The coping strategies of middle adolescents (14–16 years) generate interest amongst educators, parents, school psychologists and school counsellors. This study, using a phenomenological approach, examined the coping strategies of ‘problem’ adolescents in the Caribbean in regard to their interactions with peers and teachers. Data were collected from semi-structured interviews with a purposive sample of twenty middle adolescents in Barbados. The adolescents’ efforts to manage problems in the school environment suggested that they actively sought to prevent problems from progressing to a maladaptive level. An apparent sequence of coping behaviours emerged from the qualitative data analysis. The sequence involves a dynamic process of seven cognitive decision-making and behavioural steps that the adolescents engaged in, in their quest to manage and effectively cope with daily problems. Based on the findings, recommendations are presented for working with adolescents who demonstrate problem behaviours within the school environment.     

A Pilot Study of a Cultural-Historical Approach to Teaching Geometry

There appears to be a widespread assumption that deductive geometry is inappropriate for most learners and that they are incapable of engaging with the abstract and rule-governed intellectual processes that became the world’s first fully developed and comprehensive formalised system of thought. This article discusses a curriculum initiative that aims to ‘bring to life’ the major transformative (primary) events in the history of Greek geometry, aims to encourage a meta-discourse that can develop a reflective consciousness and aims to provide an opportunity for the induction into the formalities of proof and to engage with the abstract. The results of a pilot study to see whether 14–15 year old ‘mixed ability’ and 15–16 year old ‘gifted and talented’ students can be meaningfully engaged with two such transformative events are discussed.     

Teaching students to think critically about science and origins

In David Long’s article, Scientists at Play in a Field of the Lord, he studies the discourse between a network of regional scientists, atheists, activists and evolutionists at the opening of The Creation Museum on Memorial Day, 2007. This review essay examines the teaching of evolution through the teacher’s ‘lens of empathy’ and also considers a ‘pupil centeredness’ approach. As a practicing science educator, I have found it paramount to take into consideration my students’ backgrounds and their families’ beliefs in order to understand their preconceived notions about the origins of life. By teaching evolution as ‘a theory with both facts and fallacies’ only then does it become an opportunity for critical thinking that fosters growth and risk taking in a safe environment. Most times students hear evolution preached as a one-sided lecture by teachers who believe it’s “my way or the highway” and leave little or no room for dialogue. I believe that a teacher’s job is to stay updated with current research on the theory of evolution and then present all the information to students in a way that creates personal opportunities for them to adjust their existing schema without demeaning them, their ideas, or their faith or belief system. This not only shows value, compassion and tolerance for them as thinking humans, but also allows them opportunities to develop critical thinking, which helps to shape whom they become as adults.