Pre-service teachers in mathematics: Struggling with the Standards

The purpose of this paper is to describe a two-year investigation of pre-service teachers in mathematics. Of particular interest is the degree to which the NCTM (1989) Curriculum and evaluation standards for school mathematics, the NCTM (1991) Professional standards for teaching mathematics, and other reform agendas impact pre-service teachers' thinking and practices. The beliefs, perceptions, philosophies, and classroom actions of four cohorts of student teachers (n = 44) were examined throughout this 2year study. Of particular interest were the pressure student teachers felt to implement the Standards in their teaching, their perceptions of their own teaching with respect to the Standards, the content of their lessons, and the impact of cooperating teachers on the development of the student teachers. Data was collected through a variety of sources, organized and analyzed in the spirit of ethnographic work. Data was generated through classroom observations, pre- and post-lesson conferences, lesson plans, seminar sessions, survey questionnaires, and informal conversations. A minimum of four classroom observations were made for each participant. Analysis of the data revealed general agreement among the student teachers in their regard for the Standards. Although they appeared to affirm the goals, content and recommendations contained therein, they almost uniformly suggest that they lack the tools to implement the Standards appropriately in the classroom. The consistency in the types and content of lessons observed appeared to validate this concern. An overwhelming majority of the lessons observed bore little or no resemblance to the values so highly espoused by the student teachers. Student teachers perceived notable pressure from the education program to include the Standards in their teaching practices, while feeling little pressure from cooperating teachers. They also point to cooperating teachers as the most significant influence on their teaching.     

Associations Between Classroom Environment and Academic Efficacy

Research was conducted on associations between classroom psychosocial environment and academic efficacy. A sample of 1055 mathematics students from Australian secondary schools responded to an instrument that assessed ten dimensions of mathematics classroom environment (viz. Student Cohesiveness, Teacher Support, Investigation, Task Orientation, Cooperation, Equity, Involvement, Personal Relevance, Shared Control, Student Negotiation). These scales were from two existing instruments, namely, What Is Happening In This Classroom? (WIHIC) and the Constructivist Learning Environment Survey (CLES). A seven-item scale assessed students' academic efficacy at mathematics-related tasks. Simple and multiple correlation analyses revealed statistically significant correlations between these classroom environment dimensions and academic efficacy. Results showed that classroom environment relates positively with academic efficacy. A commonality analysis showed that the three scales from the Constructivist Learning Environment Survey scales did not contribute greatly to explaining variance in academic efficacy beyond that attributed to the seven scales in the What Is Happening In This Classroom? questionnaire.     

The promises of numeracy

The aim of this study is to better understand the notion of early algebraic thinking by describing differences in grade 4–7 students’ thinking about basic algebraic concepts. To achieve this goal, one test that involved generalized arithmetic, functional thinking, and modeling tasks, was administered to 684 students from these grades. Quantitative analysis of the data yielded four distinct groups of students demonstrating a wide range of performance in these tasks. Qualitative analysis of students’ solutions provided further insight into their understanding of basic algebraic concepts, and the nature of the processes and forms of reasoning they utilized. The results showed that students in each group were able to solve different number and types of tasks, using different strategies. Results also indicated that students from all grades were present in each group. These findings suggest the presence of a consistent trend in the difficulty level across early algebraic tasks which may support the existence of a specific developmental trend from more intuitive types of early algebraic thinking to more sophisticated ones.     

Depressed Mothers' Touching Increases Infants' Positive Affect and Attention in Still-Face Interactions

The effects of depressed mothers' touching on their infants' behavior were investigated during the still-face situation. 48 depressed and nondepressed mothers and their 3-month-old infants were randomly assigned to control and experimental conditions. 4 successive 90-sec periods were implemented: (A) normal play, (B) still-face-no-touch, (C) still-face-with-touch, and (A) normal play. Depressed and nondepressed mothers were instructed and shown how to provide touch for their infants during the still-face-with-touch period. Different affective and attentive responses of the infants of depressed versus the infants of nondepressed mothers were observed. Infants of depressed mothers showed more positive affect (smiles and vocalizations) and gazed more at their mothers' hands during the still-face-with-touch period than the infants of nondepressed mothers, who grimaced, cried, and gazed away from their mothers' faces more often. The results suggest that by providing touch stimulation for their infants, the depressed mothers can increase infant positive affect and attention and, in this way, compensate for negative effects often resulting from their typical lack of affectivity (flat facial and vocal expressions) during interactions     

The Impact of Prior Counseling on Predictors of College Counseling Center Use

Path analyses revealed that one's tendency to conceal distressing information, social support, psychological distress, and attitudes toward seeking help predicted intended use of counseling services for college students who had and had not previously been in counseling. Prospective analyses revealed that attitudes toward seeking help predicted actual use of the campus counseling center. These findings have implications for campus outreach programs and in‐session work with clients.     

The Impact of Reform: Challenges for Mathematics Teacher Preparation

The mathematics education community has been widely recognized as a leader in the standards-based reform movement. Despite the widespread interest and attention that reform documents such as the NCTM Standards have generated, what has yet to be fully understood is the impact of these types of reform documents on the preservice teacher preparation process. This paper examines the state of the standards-based reform effort in mathematics teacher education by presenting the results of a three-year study of six cohorts of secondary mathematics student teachers (n = 63). Examined in particular are the ways in which these student teachers' professed beliefs about and knowledge of the NCTM Standards contrast with their teaching practices. Possible explanations for the mismatch between belief and knowledge statements and teaching practices are examined, along with other implications for mathematics teacher preparation.     

Academics' Motivation and Self‐efficacy for Teaching and Research

The study focused on academic staff in a post‐1987 university, that is, a former college of advanced education which had been awarded university status as a result of the Australian Government's decision to have a Unified National System of universities. The focus of attention was motivation and self‐efficacy for teaching and research. The effect of faculty of affiliation, level of appointment, gender, qualifications, and research productivity on staff's self‐reported attributions for teaching and research were examined. Tutors, staff with bachelor degrees, academics with low research productivity, and women had higher teaching motivation. One faculty was lower in both research motivation and self‐efficacy, and associate professors and professors had high levels of research efficacy. Men and women had the same level of research motivation and self‐efficacy. Staff with higher degrees and greater research productivity were more motivated and self‐efficacious about research. The results suggest the need to understand more clearly how each individual's research motivation and self‐efficacy is constructed and to determine the best method of increasing motivation and self‐efficacy for teaching and research.     

Professional Ethics in the College and University Science Curriculum

Scientific ethics is a subset of professional ethics, the special rules of conduct adopted by those engaged in one of the pursuits regarded as professions, such as law, medicine, engineering and science. Professional ethics derive from a moral ideal based on service. This ideal leads to a pair of bargains: an internal bargain that defines the internal code of practice within the profession, and an external bargain that defines the relationship between the profession and society. This article develops the internal and external bargains that are the basis of scientific ethics from both an historical and a philosophical perspective and makes suggestions as to how the teaching of scientific ethics can be integrated into the undergraduate curriculum.