PRE-SERVICE PHYSICS TEACHERS’ UNDERSTANDING OF THE RELATIONAL STRUCTURE OF PHYSICS CONCEPTS: ORGANISING SUBJECT CONTENTS FOR PURPOSES OF TEACHING

Good conceptual understanding of physics is based on understanding what the key concepts are and how they are related. This kind of understanding is especially important for physics teachers in planning how and in what order to introduce concepts in teaching; connections which tie concepts to each other give direction of progress—there is “flux of information” so that what was learned before provides the basis for learning new ideas. In this study, we discuss how such ordering of concepts can be made visible by using concept maps and how they can be used in analysing the students’ views and ideas about the inherent logic of the teaching plans. The approach discussed here is informed by the recent cognitively oriented ideas of knowledge organisation concentrating on simple knowledge organisation patterns and how they form the basis of more complex concept networks. The analysis of such concept networks is then very naturally based on the use of network theory on analysing the concept maps. The results show that even in well-connected maps, there can be abrupt changes in the information flux in the way knowledge is passed from the initial levels to the final levels. This suggests that handling the information content is very demanding and perhaps a very difficult skill for a pre-service teacher to master.     

ELEMENTARY SCHOOL TEACHERS’ UNDERSTANDING OF THE MEAN AND MEDIAN

This study provides a snapshot of elementary school teachers’ understanding of the mean and median. The research is presented in light of recent work regarding preservice teachers’ understanding of the mean. Common misconceptions are identified which lead to potential implications for teacher preparation programs. One of the primary concerns regarding increasing the standards expected of students to learn statistics is teachers’ preparation to address those standards. Exploring issues with teachers’ understanding of two of the most prominent concepts in the enacted curriculum provides a glimpse into the need to adequately prepare teachers to teach statistics.     

UNDERSTANDING THE ALTERNATIVE CONCEPTIONS OF PRE-SERVICE SECONDARY SCIENCE TEACHERS ABOUT TIDAL PHENOMENA BASED ON TOULMIN’S ARGUMENTATION

Constructing explanations and participating in argumentative discourse are seen as essential practices of scientific inquiry. The objective of this study was to explore the elements and origins of pre-service secondary science teachers’ alternative conceptions of tidal phenomena based on the elements used in Toulmin’s Argument Model through qualitative research. The data were collected from three pre-service secondary school teachers (D.-K. University, Teachers’ Colleges, junior and senior) in the Republic of Korea using a variety of qualitative research methods. We present three pre-service teachers as examples of 20 pre-service teachers for determining each pre-service teacher whether the pattern of his/her responses to all of the questions investigating a given concept can be explained by the consistent use of components of argument. The results of this study showed “the model with the Earth’s center at rest” backing their warrants as an element of Toulmin’s Argument Model. As a result, science educators must explicitly address these presuppositions or implicit beliefs and must help the students form links between their everyday experiences and scientific knowledge. Therefore, educators must be aware of the influence of students’ presuppositions and must use acceptable scientific concepts (the center of mass of the Earth–Moon system) based on argumentation to guide their construction of scientific concepts.     

STUDENTS’ UNDERSTANDING OF EQUILIBRIUM AND STABILITY: THE CASE OF DYNAMIC SYSTEMS

Engineering students in control courses have been observed to lack an understanding of equilibrium and stability, both of which are crucial concepts in this discipline. The introduction of these concepts is generally based on the study of classical examples from Newtonian mechanics supplemented with a control system. Equilibrium and stability are approached in different ways at the various stages of a typical engineering syllabus: at the beginning, they are mostly dealt with a static point of view, for example in mechanics, and are subsequently handled through dynamic analysis in control courses. In general, there is a little clarification of the differences between these concepts or the ways in which they are linked. We believe that this leads to much confusion and incomprehension among engineering students. Several studies have shown that students encounter difficulties when presented with simple familiar or academic static equilibrium cases in mechanics. Our study investigates students’ conceptions and misconceptions about equilibrium and stability through a series of questions about several innovative non-static situations. It reveals that the understanding of these notions is shaken when the systems being studied are placed in inertial or non-inertial moving reference frames. The students in our study were particularly uncertain about the existence of unstable equilibrium positions and had difficulty in differentiating between the two concepts. The results suggest that students use a velocity-based approach to explain such situations. A poor grasp of the above fundamental concepts may result from previous learning experiences. More specifically, certain difficulties seem to be directly linked to a lack of understanding of these concepts, while others are related to misconceptions arising from everyday experiences and the inappropriate use of physical examples in primary school.     

TEACHERS’ KNOWLEDGE OF THE CONCEPT OF A FUNCTION: A THEORETICAL FRAMEWORK

In order to teach mathematics effectively, mathematics teachers need to have a sound mathematical knowledge, but what constitutes sound mathematical knowledge for teaching is subject to debate. This paper is an attempt to unpack what constitutes teacher knowledge of the concept of a function which is a unifying idea in the mathematics curriculum. The central components of the framework, which will be elaborated on in this paper, are: teachers’ subject matter knowledge, teachers’ pedagogical content knowledge, teachers’ technological pedagogical knowledge, technological content knowledge, and technological pedagogical content knowledge in relation to the concept of a function. The framework is informed by Shulman’s (Educational Researcher 15:4–14, 1986) Types of Teachers Knowledge Framework, Ball, Bass &; Hill 29:14–17, 20–22, 43–46 (2005) Mathematical Knowledge for Teaching Framework, and Mishra &; Koehler’s (Teachers College Record 108:1017–1054, 2006) Technological Pedagogical Content Knowledge (TPACK) framework.

     

TEACHERS’ KNOWLEDGE OF THE CONCEPT OF A FUNCTION: A THEORETICAL FRAMEWORK

In order to teach mathematics effectively, mathematics teachers need to have a sound mathematical knowledge, but what constitutes sound mathematical knowledge for teaching is subject to debate. This paper is an attempt to unpack what constitutes teacher knowledge of the concept of a function which is a unifying idea in the mathematics curriculum. The central components of the framework, which will be elaborated on in this paper, are: teachers’ subject matter knowledge, teachers’ pedagogical content knowledge, teachers’ technological pedagogical knowledge, technological content knowledge, and technological pedagogical content knowledge in relation to the concept of a function. The framework is informed by Shulman’s (Educational Researcher 15:4–14, 1986) Types of Teachers Knowledge Framework, Ball, Bass & Hill 29:14–17, 20–22, 43–46 (2005) Mathematical Knowledge for Teaching Framework, and Mishra & Koehler’s (Teachers College Record 108:1017–1054, 2006) Technological Pedagogical Content Knowledge (TPACK) framework.     

SECONDARY SCHOOL STUDENTS’ UNDERSTANDING OF MATHEMATICAL INDUCTION: STRUCTURAL CHARACTERISTICS AND THE PROCESS OF PROOF CONSTRUCTION

In this study, we investigate the meaning students attribute to the structure of mathematical induction (MI) and the process of proof construction using mathematical induction in the context of a geometric recursion problem. Two hundred and thirteen 17-year-old students of an upper secondary school in Greece participated in the study. Students’ responses in 3 written tasks and the interviews with 18 of them are analyzed. Though MI is treated operationally in school, the students, when challenged, started to recognize the structural characteristics of MI. In the case of proof construction, we identified 2 types of transition from argumentation to proof, interwoven in the structure of the geometrical pattern. In the first type, MI was applied to the algebraic statement that derived from the direct translation of the geometrical situation. In the second type, MI was embedded functionally in the geometrical structure of the pattern.     

STUDENTS’ UNDERSTANDING OF LARGE NUMBERS AS A KEY FACTOR IN THEIR UNDERSTANDING OF GEOLOGIC TIME

An understanding of geologic time is comprised of 2 facets. Events in Earth’s history can be placed in relative and absolute temporal succession on a vast timescale. Rates of geologic processes vary widely, and some occur over time periods well outside human experience. Several factors likely contribute to an understanding of geologic time, one of which is an individual’s ability to perceive the relative size of large time periods and to move multiplicatively through quantities that differ by many orders of magnitude. Thirty-five US students aged 13–24?years participated in task-based interviews to assess their understanding of large temporal periods. Fewer than half of the students performed well enough to indicate that their knowledge of large numbers was robust enough to enable them to understand processes in geologic time. Some students were confused about relationships between quantities in the thousands and millions, while others had difficulty showing proportional relationships among relatively small temporal units (up to 100?years). Students differed in their ability to perceive the entire scale upon which numbers were to be placed as well as broader problem-solving strategies. Spatial mapping of numbers was evident. Implications for future research are discussed.     

UNIVERSITY STUDENTS’ UNDERSTANDING OF THERMAL PHYSICS IN EVERYDAY CONTEXTS

Thermal physics is in the realm of everyday experience, underlies current environmental concerns, and underpins studies in sciences, health and engineering. In the state of NSW in Australia, the coverage of thermal topics in high school is minimal, and, hence, so is the conceptual understanding of students. This study takes a new approach at exploring conceptions of students with a qualitative analysis facilitated by NVivo complemented with reference to sociocultural ideas of learning. A 2-part pen and paper question was given to 598 first year university students of different educational backgrounds (and therefore physics expertise). ‘The Question’ was based on 2 familiar scenarios and required the selection of a concept first, followed by an explanation. The results showed that concepts were favoured based on a student’s everyday experience and their curriculum through high school, and some were more effective than others in making scientifically congruent responses. The reported thermal physics alternative conceptions were also examined in our sample, and students’ reasoning behind such conceptions indicate that some conceptions do not inhibit scientifically congruent responses whilst others do. The results implicate language and the everyday experiences of the student in the teaching and learning of thermal physics.     

ARGUMENTATION AND STUDENTS’ CONCEPTUAL UNDERSTANDING OF PROPERTIES AND BEHAVIORS OF GASES

The purpose of this study was to explore the impact of argumentation-based pedagogy on college students?? conceptual understanding of properties and behaviors of gases. The sample consists of 108 students (52 in the control group and 56 in the intervention group) drawn from 2 general chemistry college courses taught by the same instructor. Data were collected through pre- and post-tests. The results of the study show that the intervention group students performed significantly better than the control group students on the post-test. The intervention group students also showed significant increase in their test scores between pre- and post-test. While at least 80?% of the students in the intervention group abandoned their initial ideas on all of the 17 alternative conceptions that were identified by the authors but one, the percent of student abandoning their initial ideas in the control group was less than 50. The discussion focuses on the implications of these results for addressing students?? alternative conceptions, promoting the argumentation?Cpedagogy in college science courses and the challenges associated with the use of argumentation in college science classrooms.     

USING RASCH MEASUREMENT TO VALIDATE THE INSTRUMENT OF STUDENTS’ UNDERSTANDING OF MODELS IN SCIENCE (SUMS)

Scientific models and modeling play an important role in science, and students’ understanding of scientific models is essential for their understanding of scientific concepts. The measurement instrument of Students’ Understanding of Models in Science (SUMS), developed by Treagust, Chittleborough & Mamiala (International Journal of Science Education, 24(4):357–368, 2002), has commonly been used to measure SUMS. SUMS was developed using the Classical Test Theory (CTT). Considering the limitations of CTT, in this study we applied a Rasch model to validate SUMS further. SUMS was given to 629 students in 18 classes of grades 9 and 10 from six high schools in China. The results present both additional evidence for the validity and reliability of SUMS and specific aspects for further improvement. This approach of validation of a published instrument by Rasch measurement can be applied to other measurement instruments developed using CTT.     

FACTORS INFLUENCING PRE-SERVICE SCIENCE TEACHERS’ IMAGINATION AT THE MICROSCOPIC LEVEL IN CHEMISTRY

This study explores the mental images at the microscopic level of matter created by 22 preservice science teachers in Oman. Participants were encouraged during a guided imagery session to construct mental images for a scenario written about the explanation of the reaction of sodium in water. They were then asked to describe what they envisioned in their own imagination. Participants had images that were based on textbook illustrations, modeling kits, a solar-system model, physical properties, and humanized animations. 3D mental images represented 33.36% of participants’ mental images at the microscopic level, while images in 2D format formed 39.15% of the overall created mental images. Several factors shaped the participants’ mental images, such as their imaginative ability, attention mode, and the nature of their old images stored in their long-term memory. Most of the participants experienced image transformation from one form to another as they were progressing in the GI session. This unstable reliance on different models might indicate unorganized conceptual networks in learners’ LTM: a feature that characterizes novices’ mental networking. On the contrary, past research has revealed that experts have more organized and sophisticated conceptual networking. This study argued that participants lacked the homogeneous and reliable mental model of the atom that is required to carry out advanced cognitive processes for mental exploration of chemical phenomena. The absence of this mental model might explain the overwhelming finding in literature that many learners fail to explain and predict chemical phenomena.     

SOME THOUGHTS ON DEVELOPING THE STUDENTS ''''LISTENING ABILITY

Language is the means by which people communicate with each other. At present, the teaching of listening is considered one of the most important teaching courses. Listening greatly affects communicative ability. For this reason, it is necessary for students to break through obstacles to the listening to improve their abilities. In recent years, theories have been put forward in the teaching of listening. The focus of attention has shifted from the teachers, who have tended to be the center of the class to the students. Listening and spoken English are the key features of English classes. As English teachers, we should devote ourselves to the reforms of teaching systems and develop suitable teaching methods so that we could improve the quality of listening teaching.     

THE IMPACT OF PEER INSTRUCTION ON COLLEGE STUDENTS’ BELIEFS ABOUT PHYSICS AND CONCEPTUAL UNDERSTANDING OF ELECTRICITY AND MAGNETISM

The purpose of this study is to assess students’ conceptual learning of electricity and magnetism and examine how these conceptions, beliefs about physics, and quantitative problem-solving skills would change after peer instruction (PI). The Conceptual Survey of Electricity and Magnetism (CSEM), Colorado Learning Attitudes about Science Survey (CLASS), multiple-choice test was administered as a pre- and posttest with Solomon 4 group design to students (N  =  138) enrolled on freshman level physics course. The number of chapter taught to the students was 14. Problem-solving strategy steps were asked to students in the exam. The analyses of CSEM showed that the treatment group (g  =  0.62) obtained significantly higher conceptual learning gain than the control group (g  =  0.36). The conceptual understanding and problem-solving skills of the students on magnetism considerably enhanced when PI was conducted (37% and 20%, respectively). CLASS results for 5 subscales (conceptual understanding, applied conceptual understanding, problem solving general, problem solving confidence, and problem solving sophistication) supported the findings of CSEM.     

THE EFFECTS OF COGNITIVE STYLES ON NAÏVE IMPETUS THEORY APPLICATION DEGREES OF PRE-SERVICE SCIENCE TEACHERS

The purpose of this study was to determine whether there is a relationship between pre-service science teachers’ Field Dependent or Field Independent (FD/FI) cognitive styles and the application of degrees of naive impetus theory. The sample consisted of 122 pre-service science teachers (97 females and 25 males) who were enrolled in the Introductory Physics course required by the Science Education program. Data were collected in two successive years, after the completion of the required Introductory Physics undergraduate courses, in 2008 and 2009. The Group Embedded Figure Test and Impetus Theory Application Test (a two-tier-type test) were administered to assess the FD/FI tendency of students and to determine the degree students applied the naïve impetus theory, respectively. Initial results showed that a majority of students had made use of the native impetus theory repeatedly. The results also indicated that the degree to which students applied the naïve impetus theory was statistically related to their FD/FI cognitive styles. The findings of this research showed that there existed a statistically significant difference between the FI and FD students’ degree of applying the naïve impetus theory in favor of FI students. However, the test score gap between FI and FD students remained almost constant regardless of the testing instruments utilized in this study.