Understanding technology integration in secondary mathematics: Theorising the role of the teacher

Previous research on computers and graphics calculators in mathematics education has examined effects on curriculum content and students’ mathematical achievement and attitudes while less attention has been given to the relationship between technology use and issues of pedagogy, in particular the impact on teachers’ professional learning in specific classroom and school environments. This observation is critical in the current context of educational policy making, where it is assumed – often incorrectly – that supplying schools with hardware and software will increase teachers’ use of technology and encourage more innovative teaching approaches. This paper reports on a research program that aimed to develop better understanding of how and under what conditions Australian secondary school mathematics teachers learn to effectively integrate technology into their practice. The research adapted Valsiner’s concepts of the Zone of Proximal Development, Zone of Free Movement and Zone of Promoted Action to devise a theoretical framework for analysing relationships between factors influencing teachers’ use of technology in mathematics classrooms. This paper illustrates how the framework may be used by analysing case studies of a novice teacher and an experienced teacher in different school settings.

The usefulness and appropriateness of a federalist perspective as a theoretical construct for the study of government and civics at the secondary level

This dissertation is the formulation of an argument for the incorporation of a liberated federalism perspective as the foundational theoretical construct for the teaching and study of American government and civics at the secondary level. The argument asserts that the history of the nation, in terms of its basic view of government, has developed from a traditional federalist view to a natural rights view. Instruction of government and politics has paralleled that development. The argument further asserts that the current dependence on the natural rights perspective has contributed and helped legitimize, however unintentionally, the excessive levels of individualism, self-absorption, and uncivil behavior that is being experienced in our society today.^ The argumentation follows the dialectic form presented by Hegel of thesis, antithesis, and synthesis. That is, the thesis argues that the traditional federalist perspective would serve as a viable construct for the teaching of government and civics. In this portion of the argument, the republican model of political reality is presented. The antithesis promotes the natural rights perspective and relies on the political systems model for its theoretical approach. Finally, the synthesis argues that a liberated federalism perspective should be the foundational construct. Here, the argument presents its own model as a theoretical construct that is designed to assist teachers and curriculum materials writers in the development of American government and civics lessons and materials. ^

The relationship between the teacher's experience, the teacher's college major, and the teacher's level of education in predicting classroom attitudes in high school science students

A review of the literature reveals few research has attempted to demonstrate if a relationship exists between the type of teacher training a science teacher has received and the perceived attitudes of his/her students. Some of the teacher preparation factors examined in this study include the college major chosen by the science teacher, the highest degree earned, the number of years of teaching experience, the type of science course taught, and the grade level taught by the teacher. This study examined how the various factors mentioned, could influence the behaviors which are characteristic of the teacher, and how these behaviors could be reflective in the classroom environment experienced by the students.^ The instrument used in the study was the Classroom Environment Scale (CES), Real Form. The measured classroom environment was broken down into three separate dimensions, with three components within each dimension in the CES. Multiple Regression statistical analyses examined how components of the teachers' education influenced the perceived dimensions of the classroom environment from the students.^ The study occurred in Miami-Dade County Florida, with a predominantly urban high school student population. There were 40 secondary science teachers involved, each with an average of 30 students. The total number of students sampled in the study was 1200. The teachers who participated in the study taught the entire range of secondary science courses offered at this large school district. All teachers were selected by the researcher so that a balance would occur in the sample between teachers who were education major versus science major. Additionally, the researcher selected teachers so that a balance occurred in regards to the different levels of college degrees earned among those involved in the study.^ Several research questions sought to determine if there was significant difference between the type of the educational background obtained by secondary science teachers and the students' perception of the classroom environment. Other research questions sought to determine if there were significant differences in the students' perceptions of the classroom environment for secondary science teachers who taught biological content, or non-biological content sciences. An additional research question sought to evaluate if the grade level taught would affect the students' perception of the classroom environment. (Abstract shortened by UMI.) ^

The effect of vocational education on high school students in a large urban multicultural school district

The completion of and graduation from high school is a major problem that must be resolved. A 6% random sample of the students (1,059) who were in the 9th grade in Miami-Dade Public Schools, a large urban school district, September 1992, were selected for this study. The sample was divided into 2 groups, advanced academic and general track students. Each group was then divided into vocational and non-vocational. A causal comparative design was used to evaluate the results for graduate vs. non-graduate. The indicators were the program of study, attendance, standardized test scores, grade point average, ethnicity and gender. It was found that both advanced academic and general track students had significantly higher graduation rates at the .01 level when a vocational education program was part of their studies. All of the other indicators did not show any significant differences. If we arc to improve students educational outcomes and reduce the dropout rate, vocational education should be part of every student's education.^

A study of leadership behaviors for Breaking Ranks leaders in public secondary schools

This research will investigate what it will take to develop principals who will embrace the recommendations of reform as proposed by National Association of Secondary School Principals (NASSP, 1996) in the Breaking Ranks document. Breaking Ranks is based on the belief that it is within the dynamics of the school culture that principals must gain insight into strategies for improving the schools for which they are held responsible. Given this context, it is important to examine perspectives that are held by principals who lead schools that embrace the concepts of reform as proposed by NASSP, thereby, could be deemed “Breaking Ranks” schools. It is within these schools that the new role of the principal develops. NASSP has identified seven key recommendations for leadership development; “attributes that need nourishing” (p. 12) for the success of school reform. The seven recommendations are included in Breaking Ranks. ^ The purpose of this study is to identify and describe how principals put the seven recommendations into practice as they function in their schools. In addition, this study will gather information on the characteristics, support, skills, and training these principals identify as critical aspects and components of their success. This is a study of principal leadership at four high school sites where “Breaking Ranks” principals have been identified. ^ This research plan will be designed to utilize an inquiry-based process with a panel of experts and four “Breaking Ranks” principals. This study will describe: (1) how a panel of experts identify what they believe needs to be done in order to put the recommendations of the Breaking Ranks document into practice and their identification of principals who are breaking ranks; (2) how identified principals say they have been able to put the recommendations of the Breaking Ranks document into practice; (3) How both groups identify and describe: (a) the characteristics and behaviors of a “Breaking Ranks” principal; (b) the new leadership skills as described by the seven recommendations identified in the Breaking Ranks document; (c) the support necessary in order to meet the recommendations in the Breaking Ranks document; and (d) The training needed in order to become “Breaking Ranks” principals; and (4) how the process of creating “Breaking Ranks” principals can be described by experts who have studied it theoretically and principals who have demonstrated it in their schools. ^

What secondary English to speakers of other languages (ESOL) teachers know about social and academic language and instructional strategies for limited English proficient students

The purpose of this study was to examine what secondary English to Speakers of Other Languages (ESOL) teachers understand about social and academic language, what instructional strategies they use for Limited English Proficient (LEP) students, and how these concepts are operationalized in their daily practice. ^ This was a mixed method study incorporating both quantitative and qualitative data collection and interpretation. Written questionnaires and individual interviews addressed the questions on teachers' definitions of social and academic language and their strategy use. Classroom observations provided verification of their definitions and their descriptions of instruction for academic language. ^ Findings indicated that teachers' definitions of social and academic language were still developing and that there were ambiguities in identifying examples of social and academic language. The use of graphic organizers or visual supports, groups or peer partners, role play or drama, and modeling were the strategies teachers consistently listed for beginner, intermediate, advanced and multiple level classes. Additionally, teachers' descriptions of their instruction were congruent with what was observed in their classroom practice. ^ It appeared that this population of secondary ESOL teachers was in the process of evolving their definitions of social and academic language and were at different stages in this evolution. Teachers' definitions of language influenced their instruction. Furthermore, those who had clear constructs of language were able to operationalize them in their classroom instruction. ^

Secondary Teachers’ Knowledge, Beliefs, and Self-Efficacy to Teach Reading in the Content Areas: Voices Following Professional Development

This study explored 24 content area teachers’ knowledge, beliefs, and self-efficacy about teaching reading in the content areas at the end of a state-wide professional development experience. The findings suggest that the participating teachers held positive beliefs, gained valuable knowledge, and were confident about teaching reading in their content areas.

Differential effects of single -sex versus coed education on the mathematical reasoning ability, verbal reasoning ability, and self-concept of high school girls

This study explored the differential effects of single-sex versus coed education on the cognitive and affective development of young women in senior year of high school. The basic research question was: What are the differential effects of single-sex versus coed education on the development of mathematical reasoning ability, verbal reasoning ability, or self-concept of high school girls?^ This study was composed of two parts. In the first part, the SAT verbal and mathematical ability scores were recorded for those subjects in the two schools from which the sample populations were drawn. The second part of the study required the application of the Piers-Harris Children's Self-Concept Scale to subjects in each of the two sample populations. The sample schools were deliberately selected to minimize between group differences in the populations. One was an all girls school, the other coeducational.^ The research design employed in this study was the causal-comparative method, used to explore causal relationships between variables that already exist. Based on a comprehensive analysis of the data produced by this research, no significant difference was found to exist between the mean scores of the senior girls in the single-sex school and the coed school on the SAT 1 verbal reasoning section. Nor was any significant difference found to exist between the mean scores of the senior girls in the single-sex school and the coed school on the SAT 1 mathematical reasoning section. Finally, no significant difference between the mean total scores of the senior girls in the single-sex school and the coed school on the Piers-Harris Children's Self-Concept Scale was found to exist.^ Contrary to what many other studies have found in the past about single-sex schools and their advantages for girls, this study found no support for such advantages in the cognitive areas of verbal and mathematical reasoning as measured by the SAT or in the affective area of self-concept as measured by the Piers-Harris Children's Self-Concept Scale. ^

EXAMINING SECONDARY MATHEMATICS TEACHER CANDIDATES’ LEARNING AND ENACTMENT OF MATHEMATICS TEACHING PRACTICES: A MULTIPLE CASE STUDY

This qualitative case study explored three teacher candidates’ learning and enactment of discourse-focused mathematics teaching practices. Using audio and video recordings of their teaching practice this study aimed to identify the shifts in the way in which the teacher candidates enacted the following discourse practices: elicited and used evidence of student thinking, posed purposeful questions, and facilitated meaningful mathematical discourse. The teacher candidates’ written reflections from their practice-based coursework as well as interviews were examined to see how two mathematics methods courses influenced their learning and enactment of the three discourse focused mathematics teaching practices. These data sources were also used to identify tensions the teacher candidates encountered. All three candidates in the study were able to successfully enact and reflect on these discourse-focused mathematics teaching practices at various time points in their preparation programs. Consistency of use and areas of improvement differed, however, depending on various tensions experienced by each candidate. Access to quality curriculum materials as well as time to formulate and enact thoughtful lesson plans that supported classroom discourse were tensions for these teacher candidates. This study shows that teacher candidates are capable of enacting discourse-focused teaching practices early in their field placements and with the support of practice-based coursework they can analyze and reflect on their practice for improvement. This study also reveals the importance of assisting teacher candidates in accessing rich mathematical tasks and collaborating during lesson planning. More research needs to be explored to identify how specific aspects of the learning cycle impact individual teachers and how this can be used to improve practice-based teacher education courses.

The effect of mobile technology as an active student response system on the acquisition of U.S. history content of secondary students with specific learning disabilities

Students with specific learning disabilities (SLD) typically learn less history content than their peers without disabilities and show fewer learning gains. Even when they are provided with the same instructional strategies, many students with SLD struggle to grasp complex historical concepts and content area vocabulary. Many strategies involving technology have been used in the past to enhance learning for students with SLD in history classrooms. However, very few studies have explored the effectiveness of emerging mobile technology in K-12 history classrooms. ^ This study investigated the effects of mobile devices (iPads) as an active student response (ASR) system on the acquisition of U.S. history content of middle school students with SLD. An alternating treatments single subject design was used to compare the effects of two interventions. There were two conditions and a series of pretest probesin this study. The conditions were: (a) direct instruction and studying from handwritten notes using the interactive notebook strategy and (b) direct instruction and studying using the Quizlet App on the iPad. There were three dependent variables in this study: (a) percent correct on tests, (b) rate of correct responses per minute, and (c) rate of errors per minute. ^ A comparative analysis suggested that both interventions (studying from interactive notes and studying using Quizlet on the iPad) had varying degrees of effectiveness in increasing the learning gains of students with SLD. In most cases, both interventions were equally effective. During both interventions, all of the participants increased their percentage correct and increased their rate of correct responses. Most of the participants decreased their rate of errors. ^ The results of this study suggest that teachers of students with SLD should consider a post lesson review in the form of mobile devices as an ASR system or studying from handwritten notes paired with existing evidence-based practices to facilitate students’ knowledge in U.S. history. Future research should focus on the use of other interactive applications on various mobile operating platforms, on other social studies subjects, and should explore various testing formats such as oral question-answer and multiple choice. ^