ELEMENTARY SCHOOL TEACHERS’ KNOWLEDGE OF MODEL FUNCTIONS AND MODELING PROCESSES: A COMPARISON OF SCIENCE AND NON-SCIENCE MAJORS

This study aimed to: (a) understand practicing teachers’ knowledge of model functions and modeling processes, (b) compare the similarities and differences between the knowledge of science and non-science major teachers, and (c) explore the possible reasons for the similarities and differences between the knowledge of these 2 groups. A 4-point Likert scale questionnaire was developed and used to measure the knowledge of 187 practicing elementary school teachers (94 science majors and 93 non-science majors) on model functions and modeling processes. The author selected 10 target teachers to conduct think-aloud interview and to explore their ranking. One month after completing the questionnaire, 28 volunteer teachers were selected for a follow-up interview to better understand the reasons for their responses. The results show that these teachers tend to agree or strongly agree with the items about model functions and modeling processes. The only significant difference between science and non-science majors was for the item “generating new ideas.” Qualitative analyses of the follow-up interviews and think-aloud results showed that teacher education and professional development did not focus on understanding and using models. Science-major teachers tended to formulate their responses with reference to specific models, while the non-science major teachers’ responses contained acquiescence bias. Finally, implications for science education are discussed.     

TECHNOLOGY KNOWLEDGE: HIGH SCHOOL SCIENCE TEACHERS’ CONCEPTIONS OF THE NATURE OF TECHNOLOGY

In-depth interviews guided by video elicitations examined 30 high school science teachers’ conceptions of technology and by extension how these conceptions reflected dimensions of nature of technology. Altogether, 64 % of the teachers characterized their schools and departments as aggressive–moderate adopters with generous access and support for technological tools. In comparison, 30 % noted that their school lagged behind due to funding and lack of infrastructure. Definitions of technology revealed emphasis on technology as artifact, overwhelming optimism on the purpose and function of technology to improve and make life easier and as representation of advancement in civilization. In tandem, teachers were most drawn to two video scenarios—medical and everyday tool videos because it reflected notions of progression and expectations of future changes; heightened awareness of the multitude of available technologies; and perceived relevance with classroom content. Perhaps most telling in these findings was that few teachers were drawn to the classroom video scenario, and only three teachers highlighted the technology–science–school science connection. These findings have implications for holistic understandings of technologies, which may inform how science teachers perceive and enact technologies in their science classrooms.     

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.     

THE PERCEIVED USEFULNESS OF TEACHERS�� GUIDES FOR SCIENCE TEACHERS

The processes of curricula, textbooks and student resources development have been broadly surveyed and studied while teachers’ guides have received comparatively little consideration throughout recent reforms in science education. Ideal curriculum materials align instruction with the goals of reform. Well-designed teachers’ guides contribute to communicating and supporting reform-based teaching. The purpose of this study was to investigate the functions and assistance that guides provide science teachers. A questionnaire was developed and administered to science teachers from a stratified sample of elementary and junior high schools in Taiwan. The findings indicated that the guides were of greater benefit to elementary school science teachers than they were to junior high teachers. These groups of teachers perceived the guides’ usefulness differently, but they believed that a clear, concise presentation of the purpose, reminders, answer keys, concept maps of the main topics and learning progression provided the most helpful and preferred layout. Teachers felt that the function of a teachers’ guide is to provide teaching resources rather than to guide teacher thinking. This study discusses design suggestions that can engage teacher thinking.     

BANGLADESHI SCIENCE TEACHERS’ PERSPECTIVES OF SCIENTIFIC LITERACY AND TEACHING PRACTICES

In line with a current global trend, junior secondary science education in Bangladesh aims to provide science education for all students to enable them to use their science learning in everyday life. This aim is consistent with the call for scientific literacy, which argues for engaging students with science in everyday life. This paper illustrates Bangladeshi science teachers’ perspectives of scientific literacy along with their views on teaching practices. Participating teachers held a range of perspectives of scientific literacy, including some naive perspectives. The paper also reports that whilst teachers’ verbalised practices in relation to their emphasis on engaging students with science in everyday life follows the emphases as required in teaching for promoting scientific literacy, their assessment practices may not be useful to promote it. The discussion explores the meaning of these findings and provides implications for school science educational practice in Bangladesh.     

SOUTH KOREAN AND THE US SECONDARY SCHOOL SCIENCE TEACHERS’ CONCEPTIONS OF CREATIVITY AND TEACHING FOR CREATIVITY

This study examined science teachers’ conceptions of creativity in science education, pedagogical ideas, and contextual factors perceived as constraints on teaching for creativity and any differences in the conceptions of teachers from South Korea and the United States. Participants in the study consisted of 44 South Korean and 21 US secondary science teachers. Data was collected from open-ended and Likert-type questionnaires. Results indicated that each individual teacher’s conception was considerably limited, but the teachers’ conceptions of creativity as a whole group were consistent with the literature. In terms of teaching methods for creativity, the teachers commonly emphasized problem-based or project-based inquiry which was consistent with the literature. The South Korean teachers tended to consider ethics as a more important criterion for judging creativity than the US teachers and emphasized providing thinking opportunity for fostering creativity, while the US teachers emphasized environmental or emotional support. Possible sources of these differences were discussed. The commonly mentioned constraints included pressure of content coverage for high-stakes tests, difficulties in assessing creativity, and class size. Suggestions for professional development of teachers and further research questions were made based on the findings.     

PRESERVICE ELEMENTARY TEACHERS’ GROWTH IN KNOWLEDGE OF MODELS IN A SCIENCE CAPSTONE COURSE

We used four different methods to determine the best means of assessing over 200 preservice elementary teachers’ growth in knowledge of models and their use in K-8 classrooms while participating in the Science Capstone course that focused on the unifying themes of models in science. Each assessment method probed a different aspect of models (from growth in scientific use to need for greater emphasis on the role and use of models) and each used a different method of gathering student responses (Likert-type responses to concept maps). We determined that growth in student knowledge was demonstrated by all instruments, but some instruments were more useful than others for determining preservice elementary teachers’ prior knowledge as well as growth in knowledge of models necessary for K-8 teachers.     

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.     

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.     

INVESTIGATING A POSSIBLE GAP BETWEEN STUDENTS’ EXPECTATIONS AND PERCEPTIONS: THE CASE OF A PRE-ENTRY SCIENCE PROGRAM

This study investigated a gap that may have existed between students’ expectations and perceptions of the 2007 Pre-Entry Science Program (PESP) cohort at the National University of Lesotho and factors that might have influenced these expectations and perceptions. Questionnaires and semi-structured interviews were used for data collection and administered to students participating in PESP. The gaps between expectations and perceptions that existed were measured using Cohen′s effect size. A large effect size was found for the ability of presenters to give students a good grasp of concepts within the subject area. Factors that seem to have influenced the students′ expectations and perceptions were identified as students′ background knowledge, previous experience, informal communication, and individual needs. Suggestions made to narrow the gap include knowing students′ expectations at the beginning of the program and then making a conscious effort to meet them.     

EFFECTS OF FUTURE MATHEMATICS TEACHERS’ AFFECTIVE, COGNITIVE AND SOCIO-DEMOGRAPHIC CHARACTERISTICS ON THEIR KNOWLEDGE AT THE END OF THE TEACHER EDUCATION IN GERMANY AND TAIWAN

How individual characteristics affect the acquisition of knowledge in teacher education has been widely unexplored thus far. The “Teacher Education and Development Study—Learning to Teach Mathematics (TEDS-M)” provides a database for examining this research question across countries. Based on the Taiwanese and German sample of TEDS-M, the relationship between future lower secondary mathematics teachers’ knowledge and their affective, cognitive and socio-demographic characteristics was examined using multilevel modelling whilst controlling for the teachers’ opportunities to learn. The results reveal that in Germany, teacher knowledge is more strongly affected by future teachers’ individual characteristics than teacher knowledge in Taiwan. These results are interpreted against the background of cultural differences between “the West” and “the East” or “individualism” and “collectivism”, respectively.     

SAUDI ELEMENTARY SCHOOL SCIENCE TEACHERS’ BELIEFS: TEACHING SCIENCE IN THE NEW MILLENNIUM

This study explored Saudi elementary school science teachers’ beliefs about the process of teaching and learning science. This involved the exploration of their views about the new Saudi science curriculum, which emphasizes critical thinking and problem solving. Comprehensive interviews were held in 8 schools with 4 male and 6 female—2 of whom were from private schools—science teachers. The interviews were analyzed to identify and assess common themes among their beliefs as well as associations between their beliefs and self-reported classroom practices. The findings revealed perceptual differences between teaching the old and the new science curricula and also that these science teachers were challenged by available class time, the student–teacher ratio, and the lack of laboratory space, equipment, and administrative support. It appears that the more interactive and group-oriented activities that formed the instructional foundation of the new curriculum have increased enjoyment for teaching science and led students to better comprehension of scientific concepts.     

EXPLORING TEACHERS’ KNOWLEDGE AND PERCEPTIONS ACROSS MATHEMATICS AND SCIENCE THROUGH CONTENT-RICH LEARNING EXPERIENCES IN A PROFESSIONAL DEVELOPMENT SETTING

This paper examines upper elementary and middle school teachers’ learning of mathematics and science content, how their perceptions of their disciplines and learning of that discipline developed through content-rich learning experiences, and the differences and commonalities of the teachers’ learning experiences relative to content domain. This work was situated within a larger professional development (PD) program that had multiple, long-term components. Participants’ growth occurred in 4 primary areas: knowledge of content, perceptions of the discipline, perceptions about the learning of the discipline, and perceptions regarding how students learn content. Findings suggest that when embedded within an effective professional development context, content can be a critical vehicle through which change can be made in teachers’ understandings and perceptions of mathematics and science. When participants in our study were able to move beyond their internal conflicts and misunderstandings, they could expand their knowledge and perceptions of content and finally bridge to re-conceptualize how to teach that content. These findings further indicate that although teachers involved in both mathematics and science can benefit from similar overall PD structures, there are some unique challenges that need to be addressed for each particular discipline group. This study contributes to what we understand about teacher learning and change, as well as commonalities and differences between teachers’ learning of mathematics and science.     

ENHANCING MATHEMATICS TEACHERS’ KNOWLEDGE OF STUDENTS’ THINKING FROM ASSESSING AND ANALYZING MISCONCEPTIONS IN HOMEWORK

This study focuses on teacher learning of student thinking through grading homework, assessing and analyzing misconceptions. The data were collected from 10 teachers at fifth?Ceighth grade levels in the USA. The results show that assessing and analyzing misconceptions from grading homework is an important approach to acquiring knowledge of students?? thinking. By engaging in the inquiry process of the 4 steps of identifying errors, analyzing reasons for the errors, designing approaches for correction, and taking action for correction, the teachers made obvious progress in their knowledge of students?? thinking, understood the difficulties and challenges their students had in learning mathematics, and enhanced their pedagogical content knowledge.     

THE EFFECTS OF PRIOR KNOWLEDGE AND VOCABULARY KNOWLEDGE ON THE READING COMPREHENSION PROCESS AND SOME INSTRUCTIONAL IMPLICATIONS

现代心理语言学理论视阅读为一个十分复杂的心理语言处理过程。这个过程包含两个不同层次的信息处理模式:基于语言材料,处理句子层并列关系及从属关系信息的自下而上的微观信息处理模式;基于内容背景知识,处理篇章层中心信息的自上而下的宏观信息处理模式。这两个信息处理模式在阅读过程中相互作用,但起决定作用的是后者。图式论认为,词汇知识结构即语言图式主要作用于自下而上的微观信息处理过程,内容知识图式和篇章结构图式主要作用于自上而下的宏观信息处理过程。在阅读过程中,不具备、不能激发及错误使用任何一种图式都会导致阅读理解错误。     

SCIENTISTS’ PARTICIPATION IN TEACHER PROFESSIONAL DEVELOPMENT: THE IMPACT ON FOURTH TO EIGHTH GRADE TEACHERS’ UNDERSTANDING AND IMPLEMENTATION OF INQUIRY SCIENCE

The impact of a professional development experience involving scientists and fourth to eighth grade teachers of science was explored. Teachers attended a summer program at a research facility where they had various experiences such as job shadowing and interviewing scientists. They also participated in authentic inquiry investigations and planned inquiry units for their classrooms. Data on teachers’ understanding and implementation of inquiry were collected through surveys, questionnaires, and classroom observations. Findings show that the teachers’ understanding of inquiry improved and most participants were able to successfully implement inquiry science in their classrooms. Barriers to the implementation of inquiry practices and the impact of specific experiences with the scientists were explored.