Toward a methodology for exploring Mathematics preservice teachers' learning from a sociocultural perspective. 'Hacia una metodología para explorar el aprendizaje de futuros profesores de Matemáticas desde una perspectiva sociocultural'.

Resumen basado en el de la publicación

Australian and US preservice teachers' perceptions of the gender stereotyping of mathematics

Historically mathematics was considered a pursuit more suited to males than females. Using a new instrument, contemporary high school students' beliefs about the gender stereotyping of mathematics have been measured and an apparent change in beliefs reported. The same instrument was administered to preservice teachers in Australia and the USA. These countries share common social and cultural characteristics and both were active in addressing identified female disadvantage in mathematics education outcomes. The preservice teachers were asked to respond to the survey items as they believed high school students would answer. The Australian and US preservice teachers' responses were compared. The results are reported and discussed in this paper.

Designing open-ended problems to challenge preservice teachers' views on mathematics and pedagogy

This study examines preservice elementary teachers' reported experiences of posing open-ended mathematics problems. Responses of 33 students in a mathematics teacher education course were analysed for the strategies participants used, what they learned and the challenges encountered from an opportunity to collect digital images and pose open-ended problems related to those images. Results indicate that preservice teachers reported a shift in the ways they viewed mathematics and how it might be taught. The school curriculum both constrained and provided possibilities for preservice teachers in noticing mathematics beyond the textbook and mathematics classroom. This study adds to our understanding of teaching as a learning practice and the art of posing mathematical problems as a significant aspect of that practice.

Designing problems : what kinds of open-ended problems do preservice teachers pose?

This paper describes preservice teachers' reported experience of problem posing based on self-selected original digital images. The 176 participants from Australia and Canada designed open-ended problems as part of their mathematics education course. Their 444 problems and accompanying photos have been analysed lo explore the types of problems posed and the focus of the mathematical connections. Findings indicate that preservice teachers are challenged when posing open-ended problems however, this process enables them to develop strategies for problem posing and to become more critically aware of the mathematical potential within their environment.

Productive pedagogies : is it an intelligible language for preservice teachers?

Australian teacher educators and teachers have become increasingly familiar with the notion of ‘Productive Pedagogies’, itself the product of longitudinal research on school reform recently undertaken in Queensland, Australia (Lingard et al., 2001a, , 2001b) . One of its strengths has been its efficacy for in-service teachers to use as a language to talk about their pedagogical work and hence a way of reclaiming some of the ground on what constitutes good teaching. In part, this can be attributed to the numerous observations of teachers’ classroom practice that informed the construction of Productive Pedagogies (PPs). That is, many teachers understand these as naming what ‘good’ teachers have always done. In this paper the value of PPs as a metalanguage for developing pre-service teachers’ knowledge and understanding of teaching is examined; whether PPs is a language that is intelligible for pre-service teachers without access to this prior teacher knowledge or whether its elements and dimensions merely constitute an isolated vocabulary. A case study of four pre-service teachers provides the context for this exploration and its empirical data. Drawing on their fieldwork observations of teaching practice, voiced in the language of PPs, the paper argues that PPs language is indeed useful in the development of pre-service teachers’ understanding of teaching, particularly in assisting them to name evidence of teachers’ recognition of and engagement with difference.

Significance of a multimedia resource in the professional learning of preservice teachers

This phenomenological inquiry seeks to understand the complexity of teacher professional learning through analysis of the use of a multimedia curriculum resource in initial teacher education programs. The study follows seven preservice teachers at three points over the course of an eighteen month period to gain understandings of how they are making meaning of their becoming teacher journeys. For the purposes of this paper only one aspect of the doctoral study is reported on due to the limitations of space. Consequently, this paper focuses on the findings of the significance of using a multimedia curriculum resource, known as QuILT, for professional learning. The qualitative study used questionnaires that included open-ended questions and semi-structured interviews with each of the seven preservice teachers at three points over an eighteen month period; as well as artefacts such as their QuILT related assessment. The paper reports on the findings that the multimedia resource and its pedagogical use provide a rich professional learning environment for preservice teachers.

Adapting the task : what preservice teachers notice when adapting mathematical tasks

This paper reports on an in-depth study that explores preservice teachers’ pedagogical adaptations to a rich mathematical task. Data were collected from six elementary preservice teachers working in pairs to first solve a mathematics problem and then design adaptations to make the problem more accessible and more challenging for diverse learners. Results indicate that preservice teachers are able to draw upon a range of strategies to vary the mathematical content, the context, and the question asked. However, they also did not notice or attend to how their adaptations changed the mathematical structure of the problem. This study provides insights into what is involved in learning to adapt classroom mathematical tasks as an important pedagogical practice.

Changes in Preservice Teachers’ Self-Efficacy: From Science Methods to Student Teaching

The purpose of this research was to assess preservice teachers self-efficacy at different stages of their educational career in an attempt to determine the extent to which self-efficacy beliefs may change over time. In addition, the critical incidents, which may contribute to changes in self-efficacy, were also investigated. The instrument used in the study was the Teaching Science as Inquiry (TSI) Instrument. The TSI Instrument was administered to 38 preservice elementary teachers to measure the self-efficacy beliefs of the teacher participants in regard to the teaching of science as inquiry. Based on the results and the associated data analysis, mean and median values demonstrate positive change for self-efficacy and outcome expectancy throughout the data collection period.

An assessment of legal knowledge of preservice teachers completing accredited teacher education programs in South Florida

The purpose of the study was to assess the legal knowledge of preservice teachers completing their educational training at accredited South Florida universities. The population consisted of 372 preservice kindergarten through twelfth grade teachers completing their educational training in any area of public school education.^ The researcher selected areas of school law to assess based on nationwide studies of litigation involving teachers and school boards, the areas most pertinent to the teachers' daily activities and responsibilities. A forty-item instrument was developed and administered to preservice teachers at six South Florida public and private universities. The areas of school law surveyed were tort liability, teachers' rights as instructors and employees, and students' rights. The research questions asked if preservice teachers possess a fundamental knowledge of school law in any of the identified areas and if a significant difference of legal knowledge existed when comparing preservice teachers by university and comparing preservice elementary and preservice secondary teachers. The criteria for a fundamental knowledge of school law was established as scoring 80% or above on the total survey or any area of school law.^ Conclusions. (1) On the overall survey, the preservice teachers did not exhibit a fundamental knowledge of school law. The mean score was 64.2%, with 11.6% of the respondents scoring at or above the 80% level. (2) The preservice teachers did not possess a fundamental knowledge of school law in any of the three areas of school law, though the survey revealed a difference in the preservice teachers' knowledge in the specific areas. The scores were tort liability, 71.9%; teachers' rights, 65%; and students' rights, 52.3%. (3) A significant difference did not exist between elementary and secondary preservice teachers' knowledge of school law. (4) A significant difference did not exist among the preservice teachers' knowledge of school law when compared by university.^ The study suggested a need for increased instruction in these areas of school law to preservice teachers prior to the beginning of their teaching careers. ^

The effect of a clinical practicum on elementary education preservice teachers' development of reading expertise

The purpose of the study was to measure gains in the development of elementary education teachers’ reading expertise, to determine if there was a differential gain in reading expertise, and last, to examine their perceptions of acquiring reading expertise. This research is needed in the field of teacher education, specifically in the field of reading. A quasi-experimental design with a comparison group using pretest-posttest mixed-method, repeated measures was utilized. Quantitative data analysis measured the development of reading expertise of elementary preservice teachers compared to early childhood preservice teachers; and, was used to examine the differential gains in reading expertise. A multivariate analysis of variance (MANOVA) was conducted on pre- and posttest responses on a Protocol of Questions. Further analysis was conducted on five variables (miscue analysis, fluency analysis, data analysis, inquiry orientation and intelligent action) using a univariate analysis of variance (ANOVA). A one-way ANOVA was carried out on gain scores of the low and middle groups of elementary education preservice teachers. Qualitative data analysis suggested by Merriam (1989) and Miles and Huberman (1994) was used to determine if the elementary education preservice teachers perceived they had acquired the expertise to teach reading. Elementary education preservice teachers who participated in a supervised clinical practicum made significant gains in their development of reading expertise as compared to early childhood preservice teachers who did not make significant gains. Elementary education preservice teachers who were in the low and middle third levels of expertise at pretest demonstrated significant gains in reading expertise. Last, elementary education preservice teachers perceived they had acquired the expertise to teach reading. The study concluded that reading expertise can be developed in elementary education preservice teachers through participation in a supervised clinical practicum. The findings support the idea that preservice teachers who will be teaching reading to elementary students would benefit from a supervised clinical practicum.

Content and Methods of Teaching Literacy: The Effect of One-on-One Tutoring in Preservice Clinical Education in Two Low-Performing, Diverse School Settings on the Effectiveness of Preservice Teachers’ Reading Instruction

This is a study of preservice teachers’ ability to teach reading to struggling, diverse students, after participating in a school-embedded course incorporating a one-on-one tutorial directly supervised by reading experts. Changes in reading performance as well as plans to analyze changes in the preservice teachers will be discussed.

Analyzing Elementary Preservice Teachers’ Development of Content and Pedagogical Content Knowledge in Mathematics through Microteaching Lesson Study

This study examines the effect of Microteaching Lesson Study participation on the mathematics content and pedagogical content knowledge of 52 elementary preservice teachers. Preliminary findings, which are positive, are discussed.

The Effect of Authentic Literacy Experiences as Book Buddies with Hispanic Fourth Graders on Preservice Teachers’ Literacy Content Knowledge and Reading Maturity

From a sociocultural perspective, individuals learn best from contextualized experiences. In preservice teacher education, contextualized experiences include authentic literacy experiences, which include a real reader and writer and replicate real life communication. To be prepared to teach well, preservice teachers need to gain literacy content knowledge and possess reading maturity. The purpose of this study was to examine the effect of authentic literacy experiences as Book Buddies with Hispanic fourth graders on preservice teachers’ literacy content knowledge and reading maturity. The study was a pretest/posttest design conducted over 12 weeks. Preservice teacher participants, the focus of the study, were elementary education majors taking the third of four required reading courses in non-probabilistic convenience groups, 43 (n = 33 experimental, n = 10 comparison) Elementary Education majors. The Survey of Preservice Teachers’ Knowledge of Teaching and Technology (SPTKTT), specifically designed for preservice teachers majoring in elementary or early childhood education and the Reading Maturity Survey (RMS) were used in this study. Preservice teachers chose either the experimental or comparison group based on the opportunity to earn extra credit points (experimental = 30 points, comparison = 15). After exchanging introductory letters preservice teachers and Hispanic fourth graders each read four books. After reading each book preservice teachers wrote letters to their student asking higher order thinking questions. Preservice teachers received scanned copies of their student’s unedited letters via email which enabled them to see their student’s authentic answers and writing levels. A series of analyses of covariance were used to determine whether there were significant differences in the dependent variables between the experimental and comparison groups. This quasi-experimental study tested two hypotheses. Using the appropriate pretest scores as covariates for adjusting the posttest means of the subcategory Literacy Content Knowledge (LCK), of the SPTKTT and the RMS, the mean adjusted posttest scores from the experimental group and comparison group were compared. No significant differences were found on the LCK dependent variable using the .05 level of significance, which may be due to Type II error caused by the small sample size. Significant differences were found on RMS using the .05 level of significance.