The “Life at the Poles” Study Unit: Developing Junior High School Students’ Ability to Recognize the Relations Between Earth Systems

Understanding of Earth’s systems, including the crucial role of human beings within them, is an important part of citizens’ ability to think intelligently and critically about the environment, pollution, sustainability and other socio-economic and scientific issues central to life in the modern world. Part of this understanding involves seeing the world as an integrated whole in which what happens in diverse places in the world may be equally relevant for students' lives. In this regard, it makes sense to study both remote and local environments within the system thinking approach—where such distinctions naturally become blurred. The present research, accordingly, focuses on a study unit entitled “Life at the Poles” and investigates the development of junior high school students’ understanding of Earth systems and their level of conceptual complexity as a result of participating in it. The “Life at the Poles” unit is based on the “explanatory story” approach where one central theme is used as a focal point for an interdisciplinary study of certain natural phenomena, in this case, the possibility of life under the extreme conditions at the poles. Concept maps and Likert-type questionnaires were employed as research tools, allowing the collected data to be analyzed both qualitatively and quantitatively. The research findings indicate that the students significantly improved their Earth systems understanding and, importantly, greatly increased their awareness of human beings’ influence on the environment, including remote environments such as the pole.     

Intuitive vs analytical thinking: four perspectives

This article is an attempt to place mathematical thinking in the context of more general theories of human cognition. We describe and compare four perspectives—mathematics, mathematics education, cognitive psychology, and evolutionary psychology—each offering a different view on mathematical thinking and learning and, in particular, on the source of mathematical errors and on ways of dealing with them in the classroom. The four perspectives represent four levels of explanation, and we see them not as competing but as complementing each other. In the classroom or in research data, all four perspectives may be observed. They may differentially account for the behavior of different students on the same task, the same student in different stages of development, or even the same student in different stages of working on a complex task. We first introduce each of the perspectives by reviewing its basic ideas and research base. We then show each perspective at work, by applying it to the analysis of typical mathematical misconceptions. Our illustrations are based on two tasks: one from statistics (taken from the psychological research literature) and one from abstract algebra (based on our own research).

Case‐based Long‐term Professional Development of Science Teachers

Reform efforts are often unsuccessful because they failed to understand that teachers play a key role in making educational reforms successful. This paper describes a long‐term teacher professional development (PD) program aimed at educating and training teachers to teach interdisciplinary topics using case‐based method in science. The research objective was to identify, follow and document the processes that science teachers went through as they assimilated the interdisciplinary, case‐based science teaching approach. The research accompanied the PD program throughout its 3‐year period. About 50 teachers, who took part in the PD program, were exposed to an interdisciplinary case‐based teaching method. The research instruments included teacher portfolios, which contained projects and reflection questionnaires, classroom observations, teacher interviews, and student feedback questionnaires. The portfolios contained the projects that the teachers had carried out during the PD program, which included case studies and accompanying student activities. We found that the teachers gradually moved from exposure to new teaching methods and subject matter, through active learning and preparing case‐based team projects, to interdisciplinary, active classroom teaching using the case studies they developed.     

Flowing Toward Correct Contributions During Group Problem Solving: A Statistical Discourse Analysis

Groups that created more correct ideas (correct contributions or CCs) might be more likely to solve a problem, and students' recent actions (micro-time context) might aid CC creation. 80 high school students worked in groups of 4 on an algebra problem. Groups with higher mathematics grades or more CCs were more likely to solve the problem. Dynamic multilevel analysis statistically identified watersheds (breakpoints) that divided each group's conversation into distinct time periods with many CCs versus few CCs, and modeled the groups' 2,951 conversation turns. Wrong contributions, correct evaluations of one another's ideas, justifications, and polite disagreements increased the likelihood of a CC. In contrast, questions, rude disagreements, and agreements reduced it. Justifications had the largest effects, whereas the effects of correct evaluations lasted 3 speaker turns. Some effects differed across groups or time periods. In groups that solved the problem, justifications were more likely to yield CCs, and questions were more likely to elicit explanations. Meanwhile, the effects of agreements and correct evaluations on CCs differed across time periods. Applied to practice, teachers can encourage students to evaluate others' ideas carefully and politely, express and justify their own ideas, and explain their answers to group members' questions.     

Preschool Children’s Perceptions of Fairness

Most studies on fairness behavior in preschool focus on fair resource allocation and on children’s behavior when faced with fairness dilemmas. The purpose of this study is to understand preschoolers’ point of view: what do they think when presented with various scenarios that call for fairness behavior? We interviewed 66 children aged 3.5–6 years, half of them girls, asking them about four social events in preschool life. We found that the children included three aspects in their answers that constituted the foundation of their perception of fairness and construal of social events: an explanation, expression of empathy and offering a solution. The children did so spontaneously and consistently. Moreover, the results showed that the more personally committed to the scenario the children felt, the fairer the behavior they reported. The study underscores various aspects of fairness and suggests referring to them both in research and in educational practice.     

How is the body’s systemic nature manifested amongst high school biology students?

This study follows two groups of students (67 in all) through the 3 years of their high school biology education and examines the development of their systems thinking - specifically their models of the human body as a system. Both groups were composed of biology majors, but the students in one group also participated in a PBLbased extension program called “Medical Systems”. Data was gathered by means of concept maps, which the students completed at four strategic stages of the learning process: beginning of 10th grade, end of 10th grade, end of 11th grade and end of 12th grade. At the end of the 3 year learning process, the students’ showed more complex system models. They included a wider range of concepts in their maps, spanning hierarchy levels ranging from the molecular and cellular to the system level. We also found an increase in references to dynamic interactions, but this did not encourage the students to use cellular level processes when explaining phenomena that occur at the systems level. The impact of the PBL teaching method was strongly evident in the complexity of the Medical Systems program students’ concept maps, which heavily emphasized “hierarchy” and “diseases” as system characteristics.     

Characteristics of teachers’ choice of examples in and for the mathematics classroom

The main goal of the study reported in our paper is to characterize teachers’ choice of examples in and for the mathematics classroom. Our data is based on 54 lesson observations of five different teachers. Altogether 15 groups of students were observed, three seventh grade, six eighth grade, and six ninth grade classes. The classes varied according to their level—seven classes of top level students and six classes of mixed—average and low level students. In addition, pre and post lesson interviews with the teachers were conducted, and their lesson plans were examined. Data analysis was done in an iterative way, and the categories we explored emerged accordingly. We distinguish between pre-planned and spontaneous examples, and examine their manifestations, as well as the different kinds of underlying considerations teachers employ in making their choices, and the kinds of knowledge they need to draw on. We conclude with a dynamic framework accounting for teachers’ choices and generation of examples in the course of teaching mathematics.

Postural,Visual, and Manual Coordination in the Development of Prehension

We investigated the real-time cascade of postural, visual, and manual actions for object prehension in 38 6- to 12-month-old infants (all independent sitters) and eight adults. Participants’ task was to retrieve a target as they spun past it at different speeds on a motorized chair. A head-mounted eye tracker recorded visual actions and video captured postural and manual actions. Prehension played out in a coordinated sequence of postural–visual–manual behaviors starting with turning the head and trunk to bring the toy into view, which in turn instigated the start of the reach. Visually fixating the toy to locate its position guided the hand for toy contact and retrieval. Prehension performance decreased at faster speeds, but quick planning and implementation of actions predicted better performance.     

When Collaborative Learning Meets Nature: Collaborative Learning as a Meaningful Learning Tool in the Ecology Inquiry Based Project

This research suggests utilizing collaborative learning among high school students for better performance on ecology inquiry-based projects. A case study of nine 12th grade students who participated in collaborative learning sessions in the open field and in class is examined. The results show that the students concentrated on discussing the methods of measurement and observation in the open field, rather than the known methods from class or from the laboratory. Another major part of their discussions concentrated on knowledge construction. Knowledge construction occurred between students with same or similar learning abilities. The role of the teacher in these discussions was crucial: she had to deal with and dispel misconceptions; and she had to bridge the gap between low-ability and high-ability students, for enabling meaningful learning to occur. The article ends with a number of recommendations for using collaborative learning as a tool for achieving meaningful learning in high school ecology inquiry-based projects.