Illustrating Cognitive Connections between Math and Language in Pre-Service Teachers’ Perceptions of Common or Everyday Terms

This paper introduces a new construct that we term Math Mediated Language (MML) focusing on the notion that common or everyday terms with mathematical meanings are important building blocks for students’ mathematical reasoning. A survey given to 96 pre-service early childhood educators indicated clear patterns of perceptions of these terms.

Making a Case for Global Education: Revisiting Pre-Service Teacher Lesson Planning Methods

Globalization has tightened the bonds of interconnectedness and interdependence among nation-states. Students are destined for careers that are profoundly international in nature. They need to develop global literacy aided by a global education. This paper mandates the need for global education as part of the pre-service teacher-training programs.

Selected psychosocial and demographic factors affecting levels of pre-retirement planning

In September 2002, the State of Florida implemented a new retirement structure for those employed in the Florida Public School System. Teachers were given the option to maintain their existing defined benefit plan or choose the newly offered defined contribution plan. The variables that affect planning for retirement are innumerable. Identifying the most significant variables is essential to understanding how one plans for retirement. ^ This study examined the relationship between hypothesized psychosocial and demographic factors and an individual's level of pre-retirement planning. The criterion variable, the level of pre-retirement planning, comprised two concepts. First, the time spent thinking about retirement was determined by the score an individual received on a pre-retirement planning scale. This scale included the concepts of information gathering, goals, anticipated resources, and long-range planning. Second, implementation of retirement plan procedures was determined by the percentage an individual annually deferred to retirement. ^ The survey used for data collection contained 50 close-ended items. It was distributed to all full-time teachers in nine randomly selected elementary, middle, and senior high schools throughout Miami-Dade County Public Schools. Multiple regression and crosstabulation indicated that math anxiety, general risk, years of service, and total family income were significant predictors of the level of pre-retirement planning, as measured by the pre-retirement planning scale. In addition, the statistical analysis indicated that math anxiety, internal locus of control, years of service, and total family income were significant predictors of the level pre-retirement planning, as measured by the amount deferred to retirement. An individual's level of math anxiety and family income were the two factors that were the most significant predictors for both concepts on the level of pre-retirement planning. ^ Based on the findings of the study, recommendations focused on assessing an individual's level of math anxiety and educating teachers, particularly pre-service candidates, about the factors that affect pre-retirement planning. Further research should investigate the benefit of such educational programs. ^

Prospective Teachers Serving as Physics Learning Assistants’ Perspectives on Reflective Practice

A physics Learning Assistant (LA) program was established at Florida International University (FIU) for recruiting and preparing pre-service physics teachers. One goal of this program is to help prospective teachers to develop reflective practice. The purpose of this study is to understand these prospective teachers’ perspectives on reflective practice.

The role of *language in early childhood mathematics

Math literacy is imperative to succeed in society. Experience is key for acquiring math literacy. A preschooler's world is full of mathematical experiences. Children are continually counting, sorting and comparing as they play. As children are engaged in these activities they are using language as a tool to express their mathematical thinking. If teachers are aware of these teachable moments and help children bridge their daily experiences to mathematical concepts, math literacy may be enhanced. This study described the interactions between teachers and preschoolers, determining the extent to which teachers scaffold children's everyday language into expressions of mathematical concepts. Of primary concern were the teachers' responsive interactions to children's expressions of an implicit mathematical utterance made while engaged in block play. The parallel mixed methods research design consisted of two strands. Strand 1 of the study focused on preschoolers' use of everyday language and the teachers' responses after a child made a mathematical utterance. Twelve teachers and 60 students were observed and videotaped while engaged in block play. Each teacher worked with five children for 20 minutes, yielding 240 minutes of observation. Interaction analysis was used to deductively analyze the recorded observations and field notes. Using a priori codes for the five mathematical concepts, it was found children produced 2,831 mathematical utterances. Teachers ignored 60% of these utterances and responded to, but did not mediate 30% of them. Only 10% of the mathematical utterances were mediated to a mathematical concept. Strand 2 focused on the teacher's view of the role of language in early childhood mathematics. The 12 teachers who had been observed as part of the first strand of the study were interviewed. Based on a thematic analysis of these interviews three themes emerged: (a) the importance of a child's environment, (b) the importance of an education in society, and (c) the role of math in early childhood. Finally, based on a meta-inference of both strands, three themes emerged: (a) teacher conception of math, (b) teacher practice, and (c) teacher sensitivity. Implications based on the findings involve policy, curriculum, and professional development.

The effects of attribute quality information and sources of information on consumers' perceptions and behavior: A model of Pre-purchase Information Utilization in Service Physical Environments

The search-experience-credence framework from economics of information, the human-environment relations models from environmental psychology, and the consumer evaluation process from services marketing provide a conceptual basis for testing the model of "Pre-purchase Information Utilization in Service Physical Environments." The model addresses the effects of informational signs, as a dimension of the service physical environment, on consumers' perceptions (perceived veracity and perceived performance risk), emotions (pleasure) and behavior (willingness to buy). The informational signs provide attribute quality information (search and experience) through non-personal sources of information (simulated word-of-mouth and non-personal advocate sources).^ This dissertation examines: (1) the hypothesized relationships addressed in the model of "Pre-purchase Information Utilization in Service Physical Environments" among informational signs, perceived veracity, perceived performance risk, pleasure, and willingness to buy, and (2) the effects of attribute quality information and sources of information on consumers' perceived veracity and perceived performance risk.^ This research is the first in-depth study about the role and effects of information in service physical environments. Using a 2 x 2 between subjects experimental research procedure, undergraduate students were exposed to the informational signs in a simulated service physical environment. The service physical environments were simulated through color photographic slides.^ The results of the study suggest that: (1) the relationship between informational signs and willingness to buy is mediated by perceived veracity, perceived performance risk and pleasure, (2) experience attribute information shows higher perceived veracity and lower perceived performance risk when compared to search attribute information, and (3) information provided through simulated word-of-mouth shows higher perceived veracity and lower perceived performance risk when compared to information provided through non-personal advocate sources. ^

Teachers' perceptions of the usefulness of Individual Education Plans (IEP)

Since 1997 federal special education policy mandated that all classroom teachers take part in planning and implementation of Individualized Education Plans (IEP) for students with disabilities. This legislation has given teachers new responsibilities because it requires greater participation in the IEP process. The purpose of this study was to examine teachers' perceptions of the usefulness of Individualized Education Plans (IEP). ^ Eighty seven certified Miami-Dade County Public School teachers, 60 general education teachers and 27 special education teachers were surveyed using an updated version of Rheams' (1989) The Teacher Perceptions of the Usefulness of IEPs. Subjects completed a survey form containing a demographic cover page, 18 Likert-scale statements and 3 open ended questions. This study looked at differences in perceptions by teacher group affiliation (general and special), grade level taught (elementary and secondary), and years of experience (<=5 and >5 years). The dependent variables were teacher preparedness; feasibility of IEP implementation; relevancy of IP to classroom instruction; and legal, professional and personal accountability with regard to the IEP. ^ Results of the Multivariate Analysis of Variance (MANOVA) revealed that (a) special education teachers held a more positive perception of overall IEP usefulness than general education teachers, (b) special educators held more positive perceptions concerning issues of feasibility and preparedness, (c) elementary level teachers viewed the IEP more positively than secondary level teachers, specifically in the areas of preparedness and feasibility. ^ Findings of this study indicate that general and secondary educators have not embraced the legislation and incorporated it into their planning and instruction. These findings provide policymakers, institutions of higher education, and school administrators with insight as to how to better translate policy into classroom instructional practice. Consideration should be given to implementing (a) honest communication and shared decision making with regard to IEP directed curriculum and instruction, (b) updated pre and in-service IEP development and implementation training, and (c) opportunities for collaboration and increased plan time, especially on the secondary level. ^

Microteaching Lesson Study: Mentor interaction structure and its relation to elementary preservice mathematics teacher knowledge development

This study investigated Microteaching Lesson Study (MLS) and three possible MLS mentor interaction structures during the debriefing sessions in relation to elementary preservice teacher development of knowledge for teaching. One hundred three elementary preservice teachers enrolled in five different sections of a mathematics methods course at a southern urban university were part of the study. This included 72 participants who completed MLS across three different mentor interaction structures as part of their course requirements and 31 elementary preservice teachers who did not complete MLS as part of their methods course and served as a comparison group for a portion of the study. A sequential mixed-methods research design was used to analyze the relationship between MLS mentor interaction structure and growth in preservice teachers' mathematics teacher knowledge. Data sources included pre and post assessments, group developed lesson plans and final reports, a feedback survey with Likert-type and open-ended questions, and transcripts of audio-recorded debriefing sessions. The pre and post assessments were analyzed using Analysis of Variance (ANOVA) and descriptive statistics were used to analyze the Likert-type feedback survey questions. Group MLS lesson plans, final reports, and transcripts of debriefing sessions along with the open-ended questions from the feedback survey were coded in a three-step process as described by Miles and Huberman (1994). In alignment with findings from M. Fernandez (2005, 2010), elementary preservice teachers participating in MLS grew in content knowledge related to MLS topics taught by one another. Results from the analysis of pre and post content knowledge assessments revealed that participants grew in their understanding of the mathematics topics taught during MLS irrespective of their mentor interaction structure and when compared to the participants who did not complete MLS in their methods course. Findings from the analysis of lesson plans for growth in pedagogical content knowledge revealed the most growth in this area occurred for participants assigned to the interaction structure in which the MLS mentor participated in the first two debriefing sessions. Analysis of the transcripts of the discourse during the debriefing sessions and the feedback surveys support the finding that the elementary preservice teachers assigned to the interaction structure in which the MLS mentor participated in the first and second debriefing sessions benefited more from the MLS experience when compared to elementary preservice teachers assigned to the other two interaction structures (MLS mentor participated in only the first debriefing session and MLS mentor participated in only the last debriefing session).

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.