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 impact of standards -based practices in mathematics on the achievement of low -performing students

This study examined standards-based mathematics reform initiatives to determine if they would improve student achievement on the part of low-performing students. New curricula, the Carnegie Learning Cognitive Tutor®, were provided for algebra and geometry students. The new instructional strategy relied on both the teacher-led instruction and the use of computers to differentiate instruction for individual students. Mathematics teachers received ongoing professional development to help them implement the new curricula. In addition, teachers were provided with ongoing support to assist them with the transformation of the learning environments for students using standards-based practices. This quasi-experimental (nonrandomized) study involved teachers in two matched urban high schools. Analyses (ANCOVAs) revealed that the experimental group with an appropriately implemented program had significantly higher learning gains than the comparison group as determined by the students' 2007 mathematics Developmental Scale Score (DSS). In addition, the experimental group's adjusted mean for the second interim mathematics assessment was significantly higher than the comparison group's mean. The findings support the idea that if the traditional curriculum is replaced with standards-based curriculum, and the curriculum is implemented as intended, low-performing students may make significant learning gains. With respect to the teaching practices as observed with the Classroom Observation Protocol (COP), t-tests were conducted on four constructs. The results for both the algebra and geometry teachers on the constructs were not significant. The COP indicated that teachers in both the experimental and comparison groups used traditional instruction strategies in their classrooms. The analyses of covariance (ANCOVA) on the use of technology revealed no significant main effects for computer use.

The relationship of culturally responsive instruction and the reading comprehension and attitude of struggling urban adolescent readers

Culturally responsive instruction refers to the identification of relevant cultural aspects of students' lives and infusion of these into the curriculum. This instructional approach assumes that a culturally appropriate curriculum can potentially motivate, engage, and lead students to higher rates of achievement. This quasi-experimental study (N=44) investigated the relationship of culturally responsive instruction and the reading comprehension and attitude of struggling urban adolescent readers. The study incorporated the use of culturally responsive instruction using culturally relevant literature (CRL), the Bluford Series Novels, as authentic texts of instruction. Participants were seventh grade reading students at a Title I middle school in South Florida. After a baseline period, two different classes were taught for 8 weeks using different methods. One class formed the experimental group ( n=22) and the other class formed the comparison group (n =22). The CRI curriculum for the experimental group embraced the socio-cultural perspective through the use of small discussion groups in which students read and constructed meaning with peers through interaction with the Bluford Series Novels; gave written responses to multiple strategies according to SCRAP - Summarize, Connect, Reflect, Ask Questions, Predict; responded to literal and inferential questions, while at the same time validating their responses through evidence from the text. The Read XL (basal reader) curriculum of the comparison group utilized a traditional form of instruction which incorporated the reading of passages followed by responses to comprehension questions, and teacher-led whole group discussion. The main sources of data were collected from the Gates-MacGinitie Reading Tests, the Florida Assessments for Instruction in Reading (FAIR), and the Rhody Secondary Reading Attitude Assessment. Statistical analyses were performed using Repeated Measures ANOVAs. Findings from the study revealed that the experimental participants' reading attitudes and FAIR comprehension scores increased when compared to the comparison group. Overall, the results from the study revealed that culturally responsive instruction can potentially foster reading comprehension and a more positive attitude towards reading. However, a replication of this study in other settings with a larger, more randomized sample size and a greater ethnic variation is needed in order to make full generalizations.

The efficacy of an interactive computer system for teaching developmental mathematics to college students

Many students are entering colleges and universities in the United States underprepared in mathematics. National statistics indicate that only approximately one-third of students in developmental mathematics courses pass. When underprepared students repeatedly enroll in courses that do not count toward their degree, it costs them money and delays graduation. This study investigated a possible solution to this problem: Whether using a particular computer assisted learning strategy combined with using mastery learning techniques improved the overall performance of students in a developmental mathematics course. Participants received one of three teaching strategies: (a) group A was taught using traditional instruction with mastery learning supplemented with computer assisted instruction, (b) group B was taught using traditional instruction supplemented with computer assisted instruction in the absence of mastery learning and, (c) group C was taught using traditional instruction without mastery learning or computer assisted instruction. Participants were students in MAT1033, a developmental mathematics course at a large public 4-year college. An analysis of covariance using participants' pretest scores as the covariate tested the null hypothesis that there was no significant difference in the adjusted mean final examination scores among the three groups. Group A participants had significantly higher adjusted mean posttest score than did group C participants. A chi-square test tested the null hypothesis that there were no significant differences in the proportions of students who passed MAT1033 among the treatment groups. It was found that there was a significant difference in the proportion of students who passed among all three groups, with those in group A having the highest pass rate and those in group C the lowest. A discriminant factor analysis revealed that time on task correctly predicted the passing status of 89% of the participants. ^ It was concluded that the most efficacious strategy for teaching developmental mathematics was through the use of mastery learning supplemented by computer-assisted instruction. In addition, it was noted that time on task was a strong predictor of academic success over and above the predictive ability of a measure of previous knowledge of mathematics.^

English Language Learners: A Correlational Study of the Relationship Between A Proficiency Level Assessment and End of Course Test Scores at one Georgia High School

Understanding the language of one’s cultural environment is important for effective communication and function. As such, students entering U.S. schools from foreign countries are given access to English to Speakers of Other Languages (ESOL) programs and they are referred to as English Language Learner (ELL) students. This dissertation examined the correlation of ELL ACCESS Composite Performance Level (CPL) score to the End of Course tests (EOCTs) and the Georgia High School Graduation Tests (GHSGTs) in the four content courses (language arts, mathematics, science, and social studies). A premise of this study was that English language proficiency is critical in meeting or exceeding state and county assessment standards. A quantitative descriptive research design was conducted using Cross-sectional archival data from a secondary source. There were 148 participants from school years 2011-2012 to 2013- 2014 from Grades 9-12. A Pearson product moment correlation was run to assess the relationship between the ACCESS CPL (independent variable) and the EOCT scores and the GHSGT scores (dependent variables). The findings showed that there was a positive correlation between ACCESS CPL scores and the EOCT scores where language arts showed a strong positive correlation and mathematics showed a positive weak correlation. Also, there was a positive correlation between ACCESS CPL scores and GHSGT scores where language arts showed a weak positive correlation. The results of this study indicated that that there is a relationship between the stated variables, ACCESS CPL, EOCT and GHSGT. Also, the results of this study showed that there were positive correlations at varying degrees for each grade levels. While the null hypothesis for Research Question 1 and Research Question 2 were rejected, there was a slight relationship between the variables.

Foreign Language Education in Colombia: A Qualitative Study of Escuela Nueva

Since 2004 the Colombian Ministry of Education has been implementing the Programa Nacional de Bilingüismo (PNB) with the goal of having bilingual high school graduates in English and Spanish by 2019. However, implementation of the PNB has been criticized by English Language Teaching (ELT) specialists in the country who say, among other things, that the PNB introduced a discourse associated exclusively with bilingualism in English and Spanish. This study analyzed interviews with 15 participants of a public school of the Colombian Escuela Nueva, a successful model of community-based education that has begun a process of internationalization, regarding the participants’ perceptions of foreign language education and the policies of the PNB. Six students, five teachers, and four administrators were each interviewed twice using semi-structured interviews. To offer a critique of the PNB, this study tried to determine to what extent the school implemented the elements of Responsible ELT, a model developed by the researcher incorporating the concepts of hegemony of English, critical language-policy research, and resistance in ELT. Findings included the following: (a) students and teachers saw English as the universal language whereas most administrators saw English imposed due to political and economic reasons; (b) some teachers misinterpreted the 1994 General Law of Education mandating the teaching of a foreign language as a law mandating English; and (c) some teachers and administrators saw the PNB’s adoption of competence standards based on the Common European Framework of Reference for languages as beneficial whereas others saw it as arbitrary. Conclusions derived from this study of this Escuela Nueva school were: (a) most participants found the goal of the PNB unrealistic; (b) most teachers and administrators saw the policies of the PNB as top-down policies without assessment or continuity; and (c) teachers and administrators mentioned a disarticulation between elementary and high school ELT policies that may be discouraging students in public schools from learning English. Thus, this study suggests that the policies of the PNB may be contributing to English becoming a gatekeeper for higher education and employment thereby becoming a tool for sustaining inequality in Colombia.

The effect of mastery learning on a course in accounting information system (AIS): A comparison within public and private universities in Taiwan

The Accounting Information System (AIS) is an important course in the Department of Accounting (DoAc) of universities in Taiwan. This course is required for seniors not only because it meets the needs of the profession, but also because it provides continual study for the department's students.^ The scores of The National College and University Joint Entrance Examination (NUEE) show that students with high learning ability are admitted to public universities with high scores, while those with low learning ability are admitted only to private universities. The same situation has been found by the researcher while teaching an AIS course in DoAc of The Public Chun Shin University (CSU) and The Private Chinese Culture University (CCU).^ The purpose of this study was to determine whether low ability students enrolled in private universities in Taiwan in a mastery learning program could attain the same level as high ability students from public universities enrolled in a traditional program. An experimental design was used. The mastery learning method was used to teach three groups of seniors with low learning ability studying in the DoAc at CCU. The traditional method was used to teach the control group which consisted of senior students of DoAc of CSU with high learning ability. As a part of the mastery learning strategy, a formative test, quizzes, and homework were completed by the experimental group only, while the mid-term examination was completed by both groups as part of the course. The dependent variable was the summative test, the final examination. It was completed by both groups upon the course's completion.^ As predicted, there were significant differences between the two groups' results on the pretest. There were no significant differences between the two groups' results on the posttest. These findings support the hypothesis of the study and reveal the effectiveness of mastery learning strategies with low learning ability students. ^

Instructional change through collaboration and reflection

The purpose of this study was to investigate the effectiveness of the Facilitator-Collaborative-Reflective Model, a strategic plan for changing teachers' practices and beliefs, on a selected group of middle school teachers. This model of staff development training was based on Corey's (1953) Cooperative-Action-Research Model and Anders and Richardson (1994) Collaborative-Reflective Model. It supports the notion that earning a teachers' commitment to change by focusing on collaboration, reflection and the normative-re-educative process aids in altering teachers' beliefs and practices especially crucial to the change process. The year-long training provided for reflection, inquiry, and learning that was useful to teachers as they pursued their goals with their students. The lead teacher, as a change agent and transformational leader, assisted in this commitment to change by improving the teachers' self-concepts as they slowly changed. The collaborative and receptive environment of the staff development fostered acceptance and stimulation of ideas.^ Given the collaborative nature of the change process, qualitative research methods were used in the investigation. The research process was based on Stufflebeam's Context, Input, Process and Product (CIPP) Evaluation Model (Madaus, Scriven & Stufflebeam, 1983). This allowed for all three factors of the staff development model to be evaluated. The case studies and focus group were effective in discerning any actual change in practices or beliefs.^ The findings of the qualitative evaluation, consisting of a baseline survey, case studies, questionnaire and modified focus group interviews, concluded that all of the teachers were strongly influenced by the intervention model which was the subject of this study. From this evaluation, three distinct indicators were looked at to determine if any change in the teachers' practices and beliefs emerged: (1) change in practice and belief, (2) reflective feedback and (3) collaborative reflection. These indicators were common throughout the teacher responses thus substantiating the infusion of the Facilitator-Collaborative-Reflective Model at the school level for effective staff development. ^

Characteristics of effective clinical and theory instructors as perceived by LPN to RN versus generic students in an associate degree nursing program

The purpose of this study was to compare the characteristics of effective clinical and theory instructors as perceived by LPN/RN versus generic students in an associate degree nursing program.^ Data were collected from 508 students during the 1996-7 academic year from three NLN accredited associate degree nursing programs. The researcher developed instrument consisted of three parts: (a) Whitehead Characteristics of Effective Clinical Instructor Rating Scale, (b) Whitehead Characteristics of Effective Theory Instructor Rating Scale, and (c) Demographic Data Sheet. The items were listed under five major categories identified in the review of the literature: (a) interpersonal relationships, (b) personality traits, (c) teaching practices, (d) knowledge and experience, and (e) evaluation procedures. The instrument was administered to LPN/RN students in their first semester and to generic students in the third semester of an associate degree nursing program.^ Data was analyzed using a one factor mutivariate analysis of variance (MANOVA). Further t tests were carried out to explore for possible differences between type of student and by group. Crosstabulations of the demographic data were analyzed.^ There were no significant differences found between the LPN/RN versus generic students on their perceptions of either effective theory or effective clinical instructor characteristics. There were significant differences between groups on several of the individual items. There was no significant interaction between group and ethnicity or group and age on the five major categories for either of the two instruments. There was a significant main effect of ethnicity on several of the individual items.^ The differences between the means and standard deviations on both instruments were small, suggesting that all of the characteristics listed for effective theory and clinical instructors were important to both groups of students. Effective teaching behaviors, as indicated on the survey instruments, should be taught to students in graduate teacher education programs. These behaviors should also be discussed by faculty coordinators supervising adjunct faculty. Nursing educators in associate degree nursing programs should understand theories of adult learning and implement instructional strategies to enhance minority student success. ^

An evaluation of English language instruction in universities/colleges in Taiwan

The purpose of this study is about to survey the effectiveness of English teaching in universities/colleges in Taiwan and provide suggestions to the educational authorities for upgrading or improving the English language teaching techniques or methods currently in use. On the one hand, the suggestions of English teachers in universities/colleges are the main concerns in this study. On the other hand, equal attention is given to the opinions and learning attitudes of the students, including the interaction between the teachers and the students.^ A social investigation methodology, consisting of questionnaire and data analysis, is devoted to this evaluation and analysis of teaching effectiveness. Among the significant findings reported in this study is the fact that both students and teachers consider evaluation of teaching effectiveness as a very important aspect of English Language programs at the university/college level. Another significant finding is that students are less concerned about the grades earned or awarded in English Language courses and more concerned about how much they learned in these classes.^ The analysis and suggestions based on the results for English teaching evaluation of universities/colleges in this dissertation can help teachers modify their teaching techniques and methods, the students to adjust their learning attitudes, and the authorities to schematize the English teaching plan that can facilitate the teaching goals to be realized. ^

Effects of structured writing versus nonstructured writing as an effective and efficient teaching and learning strategy

This research investigated the effectiveness and efficiency of structured writing as compared to traditional nonstructured writing as a teaching and learning strategy in a training session for teachers.^ Structured writing is a method of identifying, interrelating, sequencing, and graphically displaying information on fields of a page or computer. It is an alternative for improving training and educational outcomes by providing an effective and efficient documentation methodology.^ The problem focuses upon the contradiction between: (a) the supportive research and theory to modify traditional methods of written documents and information presentation and (b) the existing paradigm to continue with traditional communication methods.^ A MANOVA was used to determine significant difference between a control and an experimental group in a posttest only experimental design. The experimental group received the treatment of structured writing materials during a training session. Two variables were analyzed. They were: (a) effectiveness; correct items on a posttest, and (b) efficiency; time spent on test.^ The quantitative data showed a difference for the experimental group on the two dependent variables. The experimental group completed the posttest in 2 minutes less time while scoring 1.5 more items correct. An interview with the training facilitators revealed that the structured writing materials were "user friendly." ^

A comparison of the impact of trained media specialists and untrained media personnel in junior colleges in the Republic of China

From educational, communications, psychological, and technical points of view, the renovation of pedagogy in media education is based upon the promotion of "educational technology." The promotion of educational technology relies upon the appropriate availability and knowledge of different educational media made available by the trained media personnel.^ In the past three decades most of the junior colleges in Taiwan set up educational media centers to help students learn through the use of media which enables them to obtain optimum benefits in a short time. What are the roles the media personnel play in the media center? What responsibilities have they to bear in the center? What differences are there when a trained and untrained media personnel are presented in junior colleges media center in Taiwan? What do the trained and untrained media personnel feel toward the importance of each media service in the area of media center's administration, media production, specialized media duties, and the training of staff in media use? These are the questions addressed in this study.^ Through the study of the related literature and a survey conducted in the junior colleges in Taiwan, recommendations are offered to provide improvement of the services and training of media specialists in Taiwan that are appropriate for a changing work and environment. These recommendations are for media specialists to be formally trained to effectively serve the changing needs of school library media so as to make optimal use of media in the junior colleges. ^

An investigation of the relationship between historical reform initiatives and Blueprint 2000: A System of School Improvement and Accountability

The modern rhetoric of reform in education has been in the forefront since the 1980s, but it has now taken on a new meaning, a greater importance to both students and teachers, a new urgency for change, and a sense of hope that this time reform will truly make a difference. The major purpose of this study was to compare historical reform initiatives to the current Florida state initiative, Blueprint 2000: A System of School Improvement and Accountability.^ Five questions were considered: (1) how similar were historical and current reform initiatives; (2) what aspects of reform were actually accomplished; (3) what are the elements of a profession; (4) what implications might this research have for university programs and inservice training programs regarding their role in the preparation of teachers; and, (5) what implications might research have on the promotion of professional practice. ^

A review of Taiwan's technological five-year junior college mechanical engineering curriculum development: 1948 to 1994

Taiwan's technological five-year junior college (TFYJC) was founded in 1948 to train technicians to meet the demand coming from national construction. Site level professionals never were trained in curriculum development as this was under strict national control. The purpose of this study is to present an accurate narrative of Taiwan's TFYJC mechanical engineering curriculum development history in order to display the focus, rationale, and influencing forces of the evolving curriculum. This study employed historical research methodology and used document analysis as the primary approach.^ This analysis revealed that the target FYJC curriculum was manufacturing-oriented. The range of government control shifted from little, to full, then to partial control of the curriculum, from autonomy to uniformity then to partial autonomy. The intention of the target curriculum development was always to advance domestic economic development. Voices from the academia and government also influenced curriculum development decisions. Currently, the government has instituted a shift in focus and content causing individual institutions to develop curriculum responses addressing the challenge of advancing Taiwan's position in a global economy.^ Considering the shift in policy and practice, individual institutions intending to design curriculum are advised to implement empirical needs assessments of students, graduates, and employers and to engage in critical studies of emerging resources in order to provide effective in service training. To accomplish this end, TFYJC faculty and administration need training in curriculum theory and practice and evaluation. ^

Planning and evaluation of Business English course in compliance with internationalization in Taiwan: A case study of Tainan Women's College of Arts & Technology

In compliance with the economic internationalization movement and the development of Asia-Pacific Regional Operation Center (APROC) in Taiwan, international business has become more and more important. To sustain favorable trade balances every year and the promotion of APROC in Taiwan, more and more talent with knowledge and skills of Business English are needed. As a consequence, it is necessary to make Business English curriculum appropriate to meet the emerging needs.^ Two groups, experimental and control, received the revised or traditional Business English course to answer the question, "Does the Business English curriculum at Tainan Woman's College of Arts & Technology (TWCAT) meet the needs of students?" Ninety-five subjects were randomly selected from the commercial departments at TWCAT and then randomly assigned to the two groups. In addition, the Business English scores of the subjects' previous semester were collected and analyzed to justify the random selection and assignment. The finding was that their initial equivalence was proved.^ A questionnaire for students and another one for the business community were administered to facilitate data collection and analysis. The results of the questionnaires were used to modify the curriculum content of Business English.^ A final-term examination was given to the subjects at the end of the pilot study of Business English in early May of 1998. The resulting scores of the examination were used to determine if there was a significant difference in learning achievement between the students of the two groups.^ Using Independent Samples Test, significant results indicated that the experimental group had higher level of learning Business English than the control group. The finding supports the hypothesis of this study.^ Recommendations based on these results are that the revised curriculum be adapted and used by TWCAT because it better meets student needs. ^