A Study Of Mathematics Anxiety in Pre-Service Teachers

The study investigated the changes in levels of mathematics anxiety among pre-service teachers in six different sections of a mathematics method courses for early childhood/elementary education pre-service teachers. The changes were a function of using Bruner’s framework of developing conceptual knowledge before procedural knowledge and using manipulatives and other activities to make mathematics concepts more concrete and meaningful. Data were collected using quantitative and qualitative measures. Two hundred forty-six pre-service teachers completed a 98-item Likert-type survey. Informal discussions, informal interviews, and questionnaire-guided narrative interviews were conducted with pre-service teachers. Data revealed a statistically significant reduction in mathematics anxiety in pre-service teachers (p < .001) who completed a mathematics methods course that emphasized Bruner’s model of concept development. Results of the study have implications for teacher education programs concerning how future teachers are trained, the measurement of mathematics anxiety levels among pre-service teachers, and the determination of specific contexts in which mathematics anxiety can be interpreted and reduced.     

Strategies of Number Sense in Pre-service Secondary Mathematics Teachers

This paper presents some results of an investigation on the number sense of a group of pre-service secondary teachers from Spain. The objective of this research was to analyze students’ use of strategies associated to number sense and compare them with those obtained in a previous study with pre-service primary teachers in Taiwan, (Yang, Reys & Reys, International Journal of Science and Mathematics Education, 7, 383–403, 2009). Pre-service secondary teachers showed lower success than pre-service primary teachers in a number sense test. Nevertheless, these last based their reasoning mainly on rules and algorithms, while pre-service secondary teachers used more strategies of number sense. In an attempt to delve into the low success shown by of Spanish pre-service secondary teachers, some students were interviewed. Those interviews showed that a deeper work on number sense in the training of these students is needed.     

The Challenges of Science Inquiry Teaching for Pre-Service Teachers in Elementary Classrooms: Difficulties on and under the Scene

In the context of the emphasis on inquiry teaching in science education, this study looks into how pre-service elementary teachers understand and practise science inquiry teaching during field experience. By examining inquiry lesson preparation, practice, and reflections of pre-service elementary teachers, we attempt to understand the difficulties they encounter and what could result from those difficulties in their practice. A total of 16 seniors (fourth-year students) in an elementary teacher education program participated in this study. In our findings, we highlight three difficulties ‘on the lesson’ that are related to teaching practices that were missing in the classrooms: (1) developing children’s own ideas and curiosity, (2) guiding children in designing valid experiments for their hypotheses, (3) scaffolding children’s data interpretation and discussion and another three difficulties ‘under the lesson’ that are related to problems with the pre-service teachers’ conceptualization of the task: (4) tension between guided and open inquiry, (5) incomplete understanding of hypothesis, and (6) lack of confidence in science content knowledge. Based on these findings, we discuss how these difficulties are complexly related in the pre-service teachers’ understandings and action. Several suggestions for science teacher education for inquiry teaching, especially hypothesis-based inquiry teaching, are then explored.     

The pre-service teachers’ mathematics anxiety related to depth of negative experiences in mathematics classroom while they were students

One of the aims of this study is to examine whether the worst experiences and most troublesome mathematics classroom experience affect mathematics anxiety in pre-service elementary teachers. Another goal is to find out how the causes of their anxiety relate to these negative experiences. The participants were 167 senior elementary pre-service teachers. Three different instruments were used to collect data; Mathematics Anxiety Rating Scale, Worst Experience and Most Troublesome Mathematics Classroom Experience Reflection Test, and Interview Protocol. The findings show that many pre-service teachers have mathematics anxiety and that the worst experience and the most troublesome mathematics classroom experience have a direct influence on mathematics anxiety in pre-service teachers. Also, the majority of instances of participants’ mathematics anxiety are caused by the teachers, their behavior or teaching approaches in their past.     

How Do Pre-Service Science Teachers’ Views on Science, Scientists, and Science Teaching Change Over Time in a Science Teacher Training Program?

Every aspect of teaching, including the instructional method, the course content, and the types of assessments, is influenced by teachers’ attitudes and beliefs. Teacher education programs play an important role in the development of beliefs regarding teaching and learning. The purpose of the study was to document pre-service teachers’ views on science, scientists, and science teaching as well as the relations between these views and the offered courses over several years spent in an elementary science teacher training program. The sample consisted of 145 pre-service elementary science teachers who were being trained to teach general science to students in the 6th through 8th grades. The research design was a cross-sectional study. Three different instruments were used to collect the data, namely, the “Draw a Scientist Test”, “Draw a Science Teacher Test”, and “Students’ Views about Science” tests. The elementary science teacher training program influenced pre-service science teachers’ views about science, scientists and science teaching to different degrees. The most pronounced impact of the program was on views about science teaching. Participants’ impressions of science teaching changed from teacher-centered views to student-centered ones. In contrast, participants’ views about scientists and science did not change much. This result could be interpreted as indicating that science teacher training programs do not change views about science and scientists but do change beliefs regarding teaching science.     

From PCK to TPACK: Developing a Transformative Model for Pre-Service Science Teachers

New science teachers should be equipped with the ability to integrate and design the curriculum and technology for innovative teaching. How to integrate technology into pre-service science teachers’ pedagogical content knowledge is the important issue. This study examined the impact on a transformative model of integrating technology and peer coaching for developing technological pedagogical and content knowledge (TPACK) of pre-service science teachers. A transformative model and an online system were designed to restructure science teacher education courses. Participants of this study included an instructor and 12 pre-service teachers. The main sources of data included written assignments, online data, reflective journals, videotapes and interviews. This study expanded four views, namely, the comprehensive, imitative, transformative and integrative views to explore the impact of TPACK. The model could help pre-service teachers develop technological pedagogical methods and strategies of integrating subject-matter knowledge into science lessons, and further enhanced their TPACK.     

Teaching anxieties revealed: pre-service elementary teachers’ reflections on their mathematics teaching experiences

Over the last 50?years, there has been ample research dedicated to mathematics anxiety in contexts of teaching and learning. However, there has been less attention focused on pre-service teachers’ anxieties about teaching mathematics in classroom settings. This study analyzed pre-service teachers’ reflections at the conclusion of an elementary mathematics field experience in order to determine common themes surrounding anxiety-related events based on mathematics practice-teaching experiences. Through qualitative analysis of pre-service teachers’ reflections using open and axial coding, three categories and ten themes surrounding elementary pre-service teachers’ anxiety-related events based on mathematics practice-teaching experiences emerged. Some of the themes presented were ones that increased pre-service teachers’ anxieties for teaching mathematics, whereas other themes reflected aspects of the field experience that decreased anxiety for teaching mathematics. Based on the themes revealed in this study, suggestions for strategies and materials that could be developed for university mathematics methods courses are discussed. Novel perspectives for considering mathematics teaching anxiety, such as locus of control and future time perspective, are shared.     

An investigation into high-achiever and low-achiever knowledge organisation and knowledge processing in concept mapping: A case study

This study used concept map content analysis and interviews to gain insights into the knowledge organisation and knowledge processing of pre-service teachers. Forty-eight preservice teachers of elementary science from a teachers’ training college in Sarawak, Malaysia, participated in this study. Correlations between achievement and five concept map characteristics showed that there were significant positive correlations (p<.01) between achievement and: the number of appropriate links; the average number of appropriate concepts per cluster; and, the hierarchy score of subjects’ concept maps, and significant negative correlations (p<.01) between achievement and: the number of inappropriate links; and, the average number of inappropriate concepts per cluster. Interviews with high-achievers and lowachievers revealed that there were differences in the way they processed knowledge during concept mapping. The high-achievers were more thorough than were the low-achievers in cognitive processing of knowledge, taking time to make sense of concepts, sort and group concepts, form relevant links between concepts, and organise concepts hierarchically. Active cognitive processing of knowledge seems to be related to more complex, well-integrated cognitive structures for the material learned.     

Do Pre-service Chemistry Teachers Reflect their Beliefs about Constructivism in their Teaching Practices?

This study aimed to explore pre-service chemistry teachers’ beliefs about constructivism and the influence of their beliefs in their teaching practice. For this purpose, semi-structured interviews were carried out with eight pre-service teachers in order to understand their belief structures. Pre-service teachers’ beliefs about constructivism were classified in three categories which are weak, moderate, and strong conceptions of constructivism. For detailed exploration, three cases of pre-service teachers representing these three categories were selected. The findings of this study showed that most pre-service teachers in this study did not have a strong conception of constructivism and the relationship between the pre-service teachers’ beliefs and their practice was not clear-cut.     

AN INVESTIGATION ON CHINESE TEACHERS�� REALISTIC PROBLEM POSING AND PROBLEM SOLVING ABILITY AND BELIEFS

In the present study, which is a part of a research project about realistic word problem solving and problem posing in Chinese elementary schools, a problem solving and a problem posing test were administered to 128 pre-service and in-service elementary school teachers from Tianjin City in China, wherein the teachers were asked to solve 3 contextually challenging division-with-remainder (DWR) word problems and pose word problems according to 3 symbolic expressions. Afterwards, they were also given 2 questionnaires wherein they had to evaluate 3 different pupil reactions to, respectively, 1 problem solving item and 1 problem posing item about DWR. First, our results revealed that teachers behaved quite ‘realistically’ not only when solving and posing DWR problems themselves but also when evaluating elementary school pupils’ DWR problem solving and problem posing performance. Second, we found a correspondence between teachers’ own performance on the tests and their evaluations of pupils’ reactions. Third, the present study provides some further insight into the role of one of the instructional factors that is generally considered responsible for the strong and worldwide tendency among elementary school children to neglect real-world knowledge and realistic considerations in their endeavours to solve and pose mathematical word problems, namely the teachers’ conceptions and beliefs about this topic.     

Assessing pre-service teachers’ skills for analyzing teaching

This study investigated the learning-from-practice skills that pre-service teachers possess when they enter teacher preparation programs in the United States. Two subskills were hypothesized to represent, at least in part, what is required to learn from practice: (1) the ability to collect evidence about students’ learning in order to analyze the effects of instruction, and (2) the ability to use the analysis to revise the instruction. Because it seems likely that different teaching situations and contexts reveal these learning-from-practice skills in different ways and to different degrees, this study examined the skills that pre-service teachers exhibited under two experimental conditions. Thirty pre-service teachers were asked to analyze the effects of a videotaped mathematics lesson on student learning, to support their analysis with evidence, and to use their analysis to revise the lesson. Based on the results, it appears that many entry level pre-service teachers can carry out a cause-effect type of analysis of the relationships between specific instructional strategies and students’ learning, and can use this analysis to make productive revisions to the instruction. However, prospective teachers’ ability to collect evidence that supports their analysis appears to be less developed. In addition, the type of analysis that prospective teachers carried out about the effects of instruction on students’ learning differed dramatically across the two experimental task conditions.Preparation of this article was supported by the National Science Foundation (Grant #0083429 to the Mid-Atlantic Center for Teaching and Learning Mathematics). The opinions expressed in the article are those of the author and not necessarily those of the Foundation. Thanks to James Hiebert for his comments on earlier drafts of the paper.     

Enhancing Pre-service Elementary Teachers' Conceptual Understanding of Solution Chemistry with Conceptual Change Text

This paper reports on the use of a constructivist-based pedagogy to enhance understanding of some features of solution chemistry. Pre-service science teacher trainees' prior knowledge about the dissolution of salts and sugar in water were elicited by the use of a simple diagnostic tool. The test revealed widespread alternative conceptions. These evaluation data were used to produce two segments of ‘conceptual change text’: concise summaries that present alternative and scientific conceptualizations for the concepts under study. The texts were administered to 21 pre-service elementary trainee teachers whose understandings of number of conceptions were subsequently re-evaluated employing a pre-test post-test approach in which their answers and reasons for their answers were solicited. The findings suggest that these pre-service elementary trainees' alternative conceptions are changed to become more in accord with the scientific view, with more participants providing correct answers along with correct reasons than before the intervention. This work suggests that the use of conceptual change text may provide a simple and cost and resource-effective way to aid conceptual understanding for the dissolution of ionic solids in water including the effect of solute surface on the dissolution process.     

Designing and implementing authentic investigative proportional reasoning tasks: the impact on pre-service mathematics teachers’ content and pedagogical knowledge and attitudes

In this study we created, implemented, and evaluated the impact of proportional reasoning authentic investigative tasks on the mathematical content and pedagogical knowledge and attitudes of pre-service elementary and middle school mathematics teachers. For this purpose, a special teaching model was developed, implemented, and tested as part of the pre-service mathematics teacher education programs conducted in Israeli teacher colleges. The conclusion of the study is that application of the model, through which the pre-service teachers gain experience of and are exposed to authentic investigative proportional reasoning tasks with incorporation of theory (reading and analyzing relevant research reports) and practice, leads to a significant positive change in the pre-service teachers’ mathematical content and pedagogical knowledge. In addition, improvement occurred in their attitudes and beliefs towards learning and teaching mathematics in general, and ratio and proportion in particular.     

Examining Pre-Service Teachers’ Use of Atomic Models in Explaining Subsequent Ionisation Energy Values

Chemistry students’ explanations of ionisation energy phenomena often involve a number of non-scientific or inappropriate ideas being used to form causality arguments. Research has attributed this to many science teachers using these ideas themselves (Tan and Taber, in J Chem Educ 86(5):623–629, 2009). This research extends this work by considering which atomic models are used in pre-service teachers’ explanations and how that relates to the causality ideas expressed. Thirty-one pre-service teachers were interviewed. Each was asked to describe and explain four different atomic representations (Rutherford, Electron cloud micrograph, Bohr and Schr?dinger types) in as much detail as they could. They also provided an explanation for the subsequent ionisation energy values for an oxygen atom and identified which representations were helpful in explaining the values. Significantly, when pre-service teachers only used Bohr type representations, they did not use repelling electron ideas in their explanations. However, arguments that were based on electron–electron repulsion used features from Schr?dinger type atoms. These findings suggest that many pre-service teachers need to develop their atomic modelling skills so that they select and use models more expertly and that subsequent ionisation explanations offer a context in which to explore different atomic models’ limitations and their deployment as explanatory resources.     

Infusing assessment into mathematics content courses for pre-service elementary school teachers

The present study aims to explore the use of assessment in mathematics content courses for future elementary school teachers. Analysis of self assessment data on mathematical understanding and peer assessment data on oral mathematical presentation showed that pre-service teachers had a balanced understanding of procedural knowledge and problem solving. Conceptual understanding was not in the structure of pre-service teachers’ mathematical knowledge. Understandings of conceptual knowledge, procedural knowledge, and problem solving had no meaningful effects on gains in mathematics performance. Aspects of oral mathematical presentation were associated with improved understanding of procedural knowledge and in particular conceptual knowledge. The result of the study calls for a conceptual approach to mathematical knowledge and sufficient mathematical problem solving in college-level mathematics content courses and in particular the infusion of assessment into college-level mathematics education for pre-service teachers.     

Epistemological Predictors of “Self Efficacy on Learning Biology” and “Test Anxiety Related to Evaluation of Learning on Biology” for Pre-service Elementary Teachers

The degree to which pre-service teachers learn biology is related to both motivational factors of self-regulation and factors regarding epistemological beliefs. At the same time, self-regulation and epistemological beliefs are also associated with one another. Based on this relationship, the purpose of this study was to investigate the relationship between components of epistemological beliefs and self-refulation (self-efficacy and test-anxiety) on learning biology. The study was conducted with 411 pre-service elementary and pre-service elementary science teachers by using a predictive research approach. Collected data was analyzed by the multiple linear regression technique. The results showed that only the belief about “existence of one truth” was a significant predictor of test anxiety while there was no epistemological predictor of self-efficacy. Conclusions and implications of the study will be discussed.     

THE EFFECT OF COOPERATIVE LEARNING STRATEGIES ON ELEMENTARY STUDENTS’ SCIENCE ACHIEVEMENT AND SOCIAL SKILLS IN KUWAIT

This study compares the effects of two methods of teaching—teacher-centered and cooperative learning—on students’ science achievement and use of social skills. The sample consists of 163 female elementary science students in 8 intact grade 5 classes who were assigned to 2 instructional methods and were taught an identical science unit by 4 classroom teachers. The students’ science achievement was measured by a researcher-designed achievement test given to students as a pretest and a posttest. Students’ social skills were determined by a researcher-designed survey administered as a pretest and posttest. Analysis of the achievement test scores and the social skills survey responses revealed that cooperative learning strategies have significantly (p > 0.05) more positive effects on both students’ achievement and social skills than teacher-centered strategies. These results provide an evidential base to inform policy decisions and encourage and persuade teachers to implement cooperative learning methods in Kuwaiti classrooms.     

The Problematic Nature of the Practicum: A Key Determinant of Pre-service Teachers’ Emerging Inquiry-Based Science Practices

This article disseminates findings from a multi-year study regarding secondary preservice science teachers’ perceptions toward inquiry-based science teaching, and the extent these perceptions are augmented by their practicum. While findings indicated that preservice teachers did improve their understanding and capability of using scientific inquiry due to their methods course, the role of practicum in supporting their newly developed perceptions was problematic. Issues ranging from associate teacher subjugation, availability of resources, time constraints, and the need to address curriculum standards were the most commonly cited reasons for preservice teachers’ difficulty in creating an inquiry-based environment during their practicum. Implications are presented highlighting the importance of practicum experiences as a key determinant of pre-service science teachers’ emerging inquiry-based science views and practices.     

Algebraic Generalization Strategies Used by Kuwaiti Pre-service Teachers

This study reports on the algebraic generalization strategies used by elementary and middle/high school pre-service mathematics teachers in Kuwait. They were presented with 9 tasks that involved linear, exponential, and quadratic situations. The results showed that these pre-service teachers had difficulty in generalizing algebraic rules in all 3 types of tasks. The most difficult problems were those involving exponents; they seemed to confuse exponential growth with the multiplication of n. Although they used several strategies such as explicit, recursive, and chunking, they tended to rely on explicit reasoning. They saw the explicit rule as a quick and easy rule to be used. In order to improve students’ understanding of algebraic reasoning, we must improve the understating of generalization. Teachers’ programs should put more emphasis on the type of content that teachers need to learn rather than on how much mathematics credits teachers need.     

Characteristics of Pre-Service Teachers’ Online Discourse: The Study of Local Streams

This study describes the characteristics of pre-service teachers’ discourse on a WebCT Bulletin Board in their investigations of local streams in an integrated mathematics and science course. A qualitative analysis of data revealed that the pre-service teachers conducted collaborative discourse in framing their research questions, conducting research and writing reports. The science teacher educator provided feedback and carefully crafted prompts to help pre-service teachers develop and refine their work. Overall, the online discourse formats enhance out-of-class communication and support collaborative group work. But the discourse on the critical examination of one another’s point of views rooted in scientific inquiry appeared to be missing. It is suggested that pre-service teachers should be given more guidance and opportunities in science courses in carrying out scientific discourse that reflects reform-based scientific inquiry.