Comparison of students’ understanding of functions in classes following English and Israeli national curricula

This paper arises from a study of how concepts related to understanding functions develop for students across the years of secondary/high school, using small samples from two different curricula systems: England and Israel. We used a survey consisting of function tasks developed in collaboration with teachers from both curriculum systems. We report on 120 higher achieving students, 10 from each of English and Israeli, 12–18 years old. Iterative and comparative analysis identified similarities and differences in students’ responses and we conjecture links between curriculum, enactment, task design, and students’ responses. Towards the end of school, students from both curriculum backgrounds performed similarly on most tasks but approached these by different routes, such as intuitive or formal and with different understandings, including correspondence and covariational approaches to functions.     

Upper Secondary Teachers' Knowledge for Teaching Chemical Bonding Models

Researchers have shown a growing interest in science teachers’ professional knowledge in recent decades. The article focuses on how chemistry teachers impart chemical bonding, one of the most important topics covered in upper secondary school chemistry courses. Chemical bonding is primarily taught using models, which are key for understanding science. However, many studies have determined that the use of models in science education can contribute to students’ difficulties understanding the topic, and that students generally find chemical bonding a challenging topic. The aim of this study is to investigate teachers’ knowledge of teaching chemical bonding. The study focuses on three essential components of pedagogical content knowledge (PCK): (1) the students’ understanding, (2) representations, and (3) instructional strategies. We analyzed lesson plans about chemical bonding generated by 10 chemistry teachers with whom we also conducted semi-structured interviews about their teaching. Our results revealed that the teachers were generally unaware of how the representations of models they used affected student comprehension. The teachers had trouble specifying students’ difficulties in understanding. Moreover, most of the instructional strategies described were generic and insufficient for promoting student understanding. Additionally, the teachers’ rationale for choosing a specific representation or activity was seldom directed at addressing students’ understanding. Our results indicate that both PCK components require improvement, and suggest that the two components should be connected. Implications for the professional development of pre-service and in-service teachers are discussed.     

Progression Towards Functions: Students’ Performance on Three Tasks About Variables from Grades 7 to 12

Identifying and expressing relations between quantities is a key aspect of understanding and using functions. We are aiming to understand the development of functions understanding throughout school years in Israel. A survey instrument was developed with teachers and given to 20 high and average achieving students from each of years 7–11 and to 10 high achieving students from year 12, a total of 110 students. Our analytical approach is to identify qualitatively what students appeared to do and whether their approaches led to complete solutions. We look for progress in understanding variables and relations between them, and we found that there does not appear to be a strong link between curriculum and informal understandings of variables and covariation, but there are other strengths.     

The contribution of morphological awareness to reading comprehension in early stages of reading

The contribution of morphological awareness to reading comprehension in Hebrew was studied in 298 second grade students who practiced two types of inflections, plural and possessive. Reading tasks at the beginning and end of the school year indicated that all improved on all tests in that period. Orthographic word recognition and morphological awareness predicted reading comprehension at the end of year. Students with low (LPD) and high (HPD) phonological decoding skills clearly differed qualitatively in reading comprehension. In the HPD students it was predicted by awareness of possessive inflections; in the LPD students it was predicted by orthographic word recognition ability. The results highlight the importance of examining the different components of morphological awareness in readers with different levels of phonological decoding ability.     

Helping students with LD to succeed: the role of teachers’ hope,sense of coherence and specific self-efficacy

Teachers play a critical role in facilitating the academic achievements of students with learning disabilities (LD). The personal resources of teachers, such as sense of coherence (SOC) and hopeful thinking, may predict self-perception of the competency and efficacy they possess to help students with LD acquire needed learning skills. Several studies have shown the importance of SOC and hope to the success of students with LD, but research has not focused on how the hope of their teachers may help these students succeed in inclusive classrooms. The goal of the current study was to identify profiles of teachers, based on their personal resources of SOC and hope, and to examine their self-efficacy (SE) in helping students with LD acquire learning skills. The sample consisted of 624 teachers (567 females and 57 males) from inclusive classes; 143 teachers in this sample had special education training. Using cluster analysis four distinct clusters were identified suggesting that both SOC, as a global personality measure, and hope, as a measure of future expectations, contributed to the SE of teachers: their belief in their ability to help the students with LD acquire learning skills. In each cluster, teachers with special education training had higher levels of hope and SE. The results highlight the important role of teachers’ personal resources in predicting their belief in their professional ability to help students with LD.     

Computer simulations in the high school: Students' cognitive stages,science process skills and academic achievement in microbiology

Computer-assisted learning, including simulated experiments, has great potential to address the problem solving process which is a complex activity. It requires a highly structured approach in order to understand the use of simulations as an instructional device. This study is based on a computer simulation program, 'The Growth Curve of Microorganisms', which required tenth grade biology students to use problem solving skills whilst simultaneously manipulating three independent variables in one simulated experiment. The aims were to investigate the computer simulation's impact on students' academic achievement and on their mastery of science process skills in relation to their cognitive stages. The results indicate that the concrete and transition operational students in the experimental group achieved significantly higher academic achievement than their counterparts in the control group. The higher the cognitive operational stage, the higher students' achievement was, except in the control group where students in the concrete and transition operational stages did not differ. Girls achieved equally with the boys in the experimental group. Students' academic achievement may indicate the potential impact a computer simulation program can have, enabling students with low reasoning abilities to cope successfully with learning concepts and principles in science which require high cognitive skills.     

Word learning: An ERP investigation of word experience effects on recognition and word processing

Adults of varying reading comprehension skill learned a set of previously unknown rare English words (e.g., gloaming) in three different learning conditions in which the type of word knowledge was manipulated. The words were presented in one of three conditions: (1) orthography-to-meaning (no phonology); (2) orthography-to-phonology (no meaning); and (3) phonology-to-meaning (no orthography). Following learning, participants made meaning judgments on the learned words, familiar known words, and unpresented (unlearned) rare words while their ERPs were recorded. The behavioral results showed no significant effects of comprehension skill on meaning judgment performance. Contrastingly, the ERP results indicated comprehension skill differences in P600 amplitude; high-skilled readers showed stronger familiarity effects for learned words, whereas less-skilled readers did not distinguish between learned words, familiar words, and unlearned words. Evidence from the P600 and N400 illustrated superior learning of meaning when meaning information was coupled with orthography rather than phonology. These results suggest that the availability of word knowledge (orthography, phonology, and meaning) at learning affects subsequent word identification processes when the words are encountered in a new context.     

Pollution monitoring by dosimetry and passive diffusion sampling for evaluation of environmental conditions for paintings in microclimate frames

Pollutants and their potential degradation of paintings have been measured for the first time in microclimate frames (mc-frames), which are used to protect paintings. The pollutants that were measured include both inorganic pollutants, which originate mainly from external sources, and organic pollutants from mainly internal sources. Those originating from the outdoors enter rooms and subsequently mc-frames at a rate depending on the ventilation rates (air exchange rates) of the mc-frames. The concentration of gaseous pollutants emitted within the mc-frames will depend on net emission rates of the materials used to make the mc-frames, their design, and their ventilation rates. In the EU PROPAINT project measurements of gaseous air pollutants and climatic conditions were performed at various locations both inside and outside different state-of-the-art mc-frames. Diffusive passive pollution gas samplers were used together with different types of dosimeters. Results show that the dosimeters respond to either the photo-oxidizing conditions or the level of volatile organic acids in the environments both in the museums and within the mc-frames. Two dosimeters, the Early Warning Organic (EWO) made from a synthetic polymer and the Resin Mastic coated Piezo electric Quartz Crystals (RM-PQC) respond to photo-oxidation and showed higher values outside than inside the mc-frames. Two other dosimeters, the Glass Slide Dosimeter (GSD) and the Lead coated Piezo electric Quartz Crystals (L-PQC) respond to volatile organic acids and yielded higher values inside than outside the mc-frames. This study emphasizes the need for further work to determine environmental damage functions for paintings, in particular for the effects of organic acids. Such information is essential for the evaluation of the protective effects of mc-frames for paintings. The use of mc-frames is increasing and it is very important to know that this protective measure does not introduce new risks.     

Iterative learning control for fractional-order multi-agent systems

In this paper, we apply iterative learning control to both linear and nonlinear fractional-order multi-agent systems to solve consensus tacking problem. Both fixed and iteration-varying communicating graphs are addressed in this paper. For linear systems, a PD^α-type update law with initial state learning mechanism is introduced by virtue of the memory property of fractional-order derivative. For nonlinear systems, a D^α-type update law with forgetting factor and initial state learning is designed. Sufficient conditions for both linear and nonlinear systems are established to guarantee all agents achieving the asymptotic output consensus. Simulation examples are provided to verify the proposed schemes.     

The Life and Achievements of Eugeniusz Piasecki: A Renowned Polish Co-founder of Physical Culture Sciences

Abstract

Professor Eugeniusz Piasecki’s multiple contributions to the development of physical education as well as his activities in various educational, scientific, and social organizations place him among the elite physical education theorists in Poland and abroad. Until 1918, Piasecki was active in the cities of Kraków, Lvov, Kiev, and Zakopane, and in the years 1919–1939 and 1945–1947, he became firmly associated with the city of Poznań. Eugeniusz Piasecki was persistent in implementing his reformist ideas, especially in the field of training of physical culture professionals. Piasecki’s activities brought about significant advances in the theory and practice of physical education – called later physical culture sciences. Despite hardships and obstacles in his school and academic path, Eugeniusz Piasecki displayed a unique talent for propitiating medical and pedagogical professionals and for contributing to the development of the Scout Movement, school sports clubs, therapeutic gymnastics, university departments, and the League of Nations. The aim of the paper is to discuss and evaluate the original achievements of Eugeniusz Piasecki – a Polish scholar, physician, polymath, role model, and a co-founder of physical culture sciences, who made invaluable contributions to the training of PE teachers and instructors and the development of school and extra-school sport movement.