Teacher Education and Professional Development Commons^™

Connecting Mathematics Students To Philosophy And Faith, Nathan Moyer

ACMS Journal 2010-2011

This paper describes an upper-division class project that helps students wrestle with the deep philosophical questions of mathematics in a relevant way. Through article readings and group discussions, various historical views of mathematical philosophy are examined and critiqued. An emphasis is placed upon students making meaningful connections between their own views of mathematics and their personal Christian faith or worldview.

"American Examples For German Universities: Admitting Women Before World War I", Charles E. Mcclelland

History Faculty Publications

Women were not allowed to enroll a regular students in Prussian universities until 1909, although most other German states had already changed this policy. This chapter analyzes the terms of controversy swirling around the issue, and how American university policies ultimately helped bring about the change.

Discovering And Developing Diverse Stem Talent: Enabling Academically Talented Urban Youth To Flourish, Stephanie Pace Marshall, Glenn W. "Max" Mcgee, Eric Mclaren, Catherine C. Veal

Publications & Research

The Growing Excellence Gap in K-12 Education, Plucker, Burroughs, and Song (2010) provided compelling evidence that "the presence of an excellence gap is demonstrated on both national and state assessments of student performance," with "economically disadvantaged, English Language Learners, and historically underprivileged minorities representing a smaller proportion of students scoring at the highest levels of achievement" (p. 28). Three "case stories" of students from IMSA illuminate some of the (a) challenges and opportunities inherent in igniting STEM talent in urban youth and ensuring their success; (b) principles for designing and creating learning experiences and environments that ignite and nurture the …

Five Strategies To Support All Teachers: Suggestions To Get Off The Slippery Slope Of "Cookbook" Science Teaching, Paula A. Magee, Ryan Flessner

Scholarship and Professional Work – Education

Many teachers shudder at the thought of implementing an inquiry curriculum. Perhaps they envision a rowdy classroom with little learning. Maybe they wonder, "How will this connect to all the standards?" Fortunately, these legitimate concerns can be addressed, and all students can engage in thoughtfully constructed inquiry science experiences. In this article, we outline five strategies that we have used with elementary school teachers as they moved from a "cookbook" approach in science to an approach that is inquiry-based. Having presented these five strategies in a linear format, we know that on the surface this may seem close to the …

Have A Kids Inquiry Conference: Putting A Twist On The Typical Science Fair, Paula A. Magee, Ryan Flessner

Scholarship and Professional Work – Education

In school, the traditional format for the formal sharing of science experiences has been the science fair. Although the format of science fairs may vary, the usual components consist of a step-by-step experimental process that students follow as they test different variables, construct a hypothesis, and collect data to support or disprove their hypothesis. Usually the science fair is conducted as a competitive event at which prizes are awarded for the "best" examples. Unfortunately, this type of science event has little connection to the real sharing that scientists do regularly.

The National Science Education Standards (NSES) call for an approach …

Perspectives On Deepening Teachers’ Mathematics Content Knowledge: The Case Of The Oregon Mathematics Leadership Institute, Libby Knott, Martha Vancleave

Faculty Publications

The Oregon Mathematics Leadership Institute (OMLI) project served 180 Oregon teachers, and 90 administrators, across the K-12 grades from ten partner districts. OMLI offered a residential, three-week summer institute. Over the course of three consecutive summers, teachers were immersed in a total of six mathematics content classes– Algebra, Data & Chance, Discrete Mathematics, Geometry, Measurement & Change, and Number & Operations—along with an annual collegial leadership course. Each content class was designed and taught by a team of expert faculty from universities, community colleges, and K-12 districts. Each team chose a few “big ideas” on which to focus the course. …

Teaching English Language Learners In Mainstream Science Classrooms: Teacher Practice And Educational Opportunity, Carlotta Dorothy Schroeder

Wayne State University Dissertations

Equal educational opportunity for English language learners (ELLs) has been a goal of the public educational system in the United States. Language policy reforms have increasedaccountability in order for schools to improve student achievement and measure the progress of ELLs. The No Child Left Behind Act (NCLB) requires assessment and accountability. In this study, the number of ELLs has increased significantly at the high school level and school district as a whole.

Along with the changing demographics, the findings reveal a district-wide policy of equalizing educational opportunity through equal treatment. Language policies provide critical decisions about how to measure what …

Middle School Mathematics Students' Perspectives On The Study Of Mathematics, Christy H. Vaughn

Walden Dissertations and Doctoral Studies

This qualitative study addressed the perceptions toward the study of mathematics by middle school students who had formerly been in a remedial mathematics program. The purpose of the study was to explore the past experiences of nine students in order to determine what is needed for them to feel successful in mathematics. The conceptual framework of the study was grounded in philosophies of motivation, including achievement goal theory, self-worth theory, self-efficacy theory, expectancy-value theory, and attribution theory. The study used a phenomenological research design to answer the key research question, which focused upon the experiences of students and the meaning …

Evaluation Of A Remedial Educational Program At A Southern Suburban Middle School, Mary K. Mills

Walden Dissertations and Doctoral Studies

No Child Left Behind (NCLB) mandates that students be measured yearly on standardized state tests, rather than on classwork, to show adequate academic growth. During the 2007--2008 school year, 38% of eighth graders in one state failed the math portion of the Criterion Referenced Competency Test (CRCT). The purpose of this quasi-experimental, pretest-posttest control-group study was to determine if there was a significant difference in CRCT scores between at-risk eighth-grade math students receiving instruction in (a) the Remedial Education Program (REP) and in (b) the regular program. The theoretical base for this study included Piaget's concrete operational theory, constructivist theory, …

Kindergarten Teachers' Perceptions Of Barriers English Language Learners Face In Mathematics, Martha A. Franklin

Walden Dissertations and Doctoral Studies

There is a disparity of mathematics achievement between native English speakers and English language learners (ELL). This study sought to understand the barriers ELL kindergarten students faced in being successful in mathematics. The purpose of this qualitative, instrumental case study was to explore kindergarten teachers' perceptions regarding English language learner's access to the mathematics curriculum and instruction. The conceptual foundation for this study drew from social development theory, which contends social interaction using language is necessary for cognitive development such as learning mathematics concepts. Individual interviews of 8 kindergarten teachers were conducted to understand kindergarten teachers' perceptions of the barriers …

The Effect Of Elementary Mathematics Coaching On Student Achievement In Fourth, Fifth, And Sixth Grade, Stewart, Merita Trimuel Stewart

Walden Dissertations and Doctoral Studies

Due to recent waivers and current expectations of teacher performance, schools have been tasked to close their student achievement gaps in mathematics by 2014. Yet students still have not performed well in mathematics, which may be a direct link to teachers' instructional practices. Identifying a coaching model to improve student achievement and teachers' instructional practices is important to district leaders, school administrators, and teachers. The purpose of this study was to evaluate how a coaching practice with teachers affected student achievement in elementary mathematics. The theoretical foundation of this study was the coaching model, first used by Joyce and Showers, …

Efficacy Of A Summer Intervention To Improve Gateway Mathematics Examination Scores, Arthur Wesley Jackson

Walden Dissertations and Doctoral Studies

Less than 50% of students from an inner-city high school in a southeastern US state who took the GATEWAY mathematics exam (2001-2007) earned a passing score on the first attempt, prompting teachers at the school to begin a summer intervention program based on Bandura's Self Efficacy Theory, to help them succeed on a subsequent reexamination. The program featured (a) extended learning time, (b) mastery learning, (c) direct instruction, (d) single-sex grouping, and (e) teacher collaboration. A survey of recent scholarly literature indicated that these 5 characteristics positively impact student learning and performance. The goal was to increase student understanding of …

The Impact Of Differentiated Versus Traditional Instruction On Math Achievement And Student Attitudes, Valerie D. Gamble

Walden Dissertations and Doctoral Studies

With the implementation of the No Child Left Behind (NCLB), all schools are held accountable for student achievement. One southern US Title I school failed to meet NCLB mandated math standards for several years and was placed on program improvement. The purpose of this study was to compare math achievement of 34 students in fifth grade using differentiated instruction via Math out of the Box (MOOTB) and math achievement of 34 students in fifth grade using traditional textbook instruction. A second purpose was to determine if there was a difference between student attitudes toward math relative to confidence, value, enjoyment, …

A Case Study Of Differentiated Instruction In Upper Elementary Mathematics And Reading Classrooms, Laponya Alexandria Burris

Walden Dissertations and Doctoral Studies

Elementary students in one school have shown a decline in proficient and advanced performance on statewide assessments. This decline increased for reading and mathematics achievement from 2003--2008, especially for disabled and minority students in grades 3--5. The purpose of this qualitative case study was to determine the extent to which differentiated instruction was implemented in instructional practices to increase student academic performance. Vygotsky's theory of constructivism, Bruner's theory of problem solving, and Gardner's theory of multiple intelligences provided the conceptual frameworks for this study. The research questions focused on the instructional strategies and resources used by teachers. Data included interviews, …

Teacher Collaboration: Implications For New Mathematics Teachers, Laura M. Gellert, Lidia Gonzalez

Publications and Research

One increasingly popular way of supporting new teachers is through the use of mentoring. New teachers are often paired with mentors as one of a number of supports meant to aid new teachers as they begin their career. The various types of mentoring range from school based mentors assigned by the school to specialty mentors, such as math coaches. Examples of other types of supports that are thought of as separate from formal mentoring are lesson studies, professional development schools, professional development workshops supported by local universities, teacher networks and sponsored professional development. Given the popularity of policies promoting support …

An Exploration Of Worldview And Conceptions Of Nature Of Science Among Science Teachers At A Private Christian High School, Kara M. Kits

Dissertations

Both worldview and conceptions of nature of science (NOS) are important components in teaching and learning science. However, few empirical studies have examined the interplay between both of these components for teachers or students. Therefore, this study examines the possible relationship between worldview and conceptions of nature of science for secondary science teachers who currently teach at a Christian school.

Qualitative methodologies developed a rich description of the worldview beliefs and conceptions of NOS for teachers in this study. Eight secondary science teachers employed at a private Christian school participated in the study. A Views of Nature of Science (VNOS) …

Understanding A Pakistani Science Teacher’S Practice Through A Life History Study, Nelofer Halai

Institute for Educational Development, Karachi

The purpose of the single case life history study was to understand a female science teacher’s conceptions of the nature of science as explicit in her practice. While this paper highlights these understandings, an additional purpose is to give a detailed account of the process of creating a life history account through more than 13 in-depth interviews. It includes a discussion of what the author calls composite observations where the observations of the teacher and the researcher are presented as a single unified story. Also discussed are ethical issues specific to life history created due to the intimacy created by …

The Influence Of Co-Taught Inclusion On The Academic Achievement Of Third Grade Non-Disabled Students In Mathematics, Michael Trabucco

Seton Hall University Dissertations and Theses (ETDs)

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Exploring The Meaning And Use Of Science Content Integration, Jason L. Garner

Walden Dissertations and Doctoral Studies

Science content integration, or the simultaneous teaching of science with other subjects during learning activities, has been explored by multiple studies. However, due to a lack of consensus on its definition, it was difficult for educators in a local school district to discuss and evaluate the effectiveness of this instructional technique. This qualitative collective case study, based on a constructivist theoretical foundation, centered on the questions of how teachers defined and used science content integration, and perceptions of impediments to its use. Participants were five teachers in a suburban elementary school. The sources of data for this study were interviews, …

Multiple Solutions To Problems In Mathematics Teaching: Do Teachers Really Value Them?, Erhan Bingolbali

Australian Journal of Teacher Education

Solving problems in different ways is strongly advised for mathematics learning and teaching. There is, however, little data available on the examination of teachers’ openness to and evaluation of different solutions to the problems. In this paper, the author examines classroom teachers’ openness to different solutions (or to what extent they value different solutions) to problems and how they evaluate (grade) these solutions. For this purpose, two questionnaires including items on students’ different solutions are applied to about 500 classroom teachers. In this paper, only two items related to the focus of the study are analysed. The findings show that …

A Mixed Methods Study Of How The Transition Process Impacts The Autonomy Of Pre-Service Secondary Mathematics Teachers, Linda Kasal Fusco

Department of Educational Administration: Dissertations, Theses, and Student Research

This mixed methods study sought to identify the impact that transition into the practice of teaching had on the autonomy of pre-service secondary teachers of Mathematics.  It was based on the belief that a Mathematics teacher’s autonomy depended on: beliefs about Mathematics and how it was learned, reflections on the teaching practice, and social constraints of a secondary school culture. Data was collected between January 2009 and March 2010.  In Phase I (Quantitative) the participants (N = 30), selected from ten State University of New York teacher preparation colleges and universities, completed five instruments to quantify the three factors of …

Opportunity To Learn (Otl) And The Alignment Of Upper Division Mathematics Learning Outcomes, Textbooks, And The National Assessment In Belize, Gabriel Cal

USF Tampa Graduate Theses and Dissertations

In this study I investigate the degree of alignment among the learning outcomes, textbooks, and the national assessment in Belize. To establish the degree of alignment, Webb‘s Four Cognitive Levels of Depth of Knowledge was used to analyze the levels of cognitive demand for each curriculum. The degree of alignment of the learning outcomes with the test items and textbooks was used to determine the extent to which the textbooks provide students with the opportunity to study the learning outcomes assessed by the national assessment. The opportunity to learn (OTL) measures addressed were the curricular content coverage and types of …

The Impact Of Student Created Slowmation On The Teaching And Learning Of Primary Science, Jeffrey Brown

Theses: Doctorates and Masters

Current research indicates that although innovations in science teaching are having a positive impact on science education in many Australian schools, national and international assessments show that student achievement is not improving (Hackling & Prain, 2008; Thomson, Wernet, Underwood, & Nicholas, 2008). Furthermore, there is little or no increase in the number of students choosing science as a post-compulsory study option or as a career path. There remains a need to further develop innovative teaching methods that promote the development of students‟ scientific literacy, engenders a joy of science learning through student engagement and encourages a desire to pursue further …

An Exploration Into How Physical Activity Data-Recording Devices Could Be Used In Computer-Supported Data Investigations, Victor R. Lee, Maneksha Dumont

Instructional Technology and Learning Sciences Faculty Publications

There is a great potential opportunity to use portable physical activity monitoring devices as data collection tools for educational purposes. Using one such device, we designed and implemented a weeklong workshop with high school students to test the utility of such technology. During that intervention, students performed data investigations of physical activity that culminated in the design and implementation of their own studies. In this paper, we explore some of the mathematical thinking that took place through a series of vignettes of a pair of students engaged in analyzing some of their own activity data. A personal connection to the …

The Impact Of Content Courses On Pre-Service Elementary Teachers’ Mathematical Content Knowledge, Michael Matthews, Janice Rech, Neal Grandgenett

Teacher Education Faculty Publications

In response to research documenting the mathematical deficiencies of pre-service elementary teachers, many teacher preparation programs are requiring mathematical content courses specifically focusing on the mathematics taught at the elementary level. This study considers what impact two such courses (one course focusing on Arithmetic, and the other course focusing on Geometry and Measurement) had on the mathematical content knowledge and attitude towards mathematics by comparing a group of pre-service elementary teachers who took these courses to a group of pre-service elementary teachers who took only a more general mathematics course (such as College Algebra). Results indicated that those teachers who …

Developing Mathematical Content Knowledge For Teaching Elementary School Mathematics, Eva Thanheiser, Christine A. Browning, Meg Moss, Tad Watanabe, Gina Garza-Kling

Faculty Articles

In this paper the authors present three design principles they use to develop preservice teachers' mathematical content knowledge for teaching in their mathematics content and/or methods courses: (1) building on currently held conceptions, (2) modeling teaching for understanding, (3) focusing on connections between content knowledge and other types of knowledge. The authors share results of individual research projects and teaching approaches focusing on helping preservice elementary teachers develop such knowledge. Specific examples from different content areas (whole number, fractions, angle, and area) are discussed.

Teachers’ Knowledge About The Nature Of Mathematics: A Survey Of Secondary School Teachers In Karachi, Pakistan, Munira Amirali, Anjum Halai

Institute for Educational Development, Karachi

This study presents the findings from a study which explored patterns in teachers’ knowledge about the nature of mathematics. A survey questionnaire was developed and distributed to 200 secondary school mathematics teachers teaching in public and private schools in Karachi, Pakistan. Exploratory factor analysis was performed which showed patterns in teachers’ view about the nature of mathematics. The analysis illustrates that teachers hold contradicting views about the nature of mathematics i.e. mathematics, both as discovered as well as invented body of knowledge. Moreover, teachers irrespective of their professional qualification, considered mathematical knowledge as ‘truth’, where mathematical rules can never be …

A Case Study Of The Mathematical Learning Of Two Teachers Acquiring Mathematical Knowledge For Teaching, David R. Hartman

College of Education and Human Sciences: Dissertations, Theses, and Student Research

This study offers an analysis of the learning of practicing teachers as they acquire a deeper knowledge of mathematics. While some professional developers have shifted part of their focus to helping practicing teachers acquire a deeper knowledge of mathematics (e.g., Stein & Silver, 1996), the results from studies often describe what translates from the professional development experience into classroom practice and measureable gains in student achievement (e.g., Desimone et al., 2002). Studies showing improvements in pedagogy and student learning are important. However, studying what teachers are learning and how they learn is important in developing understanding of the content and …

Inferring Impulsive-Analytic Disposition From Written Responses, Kien Lim, Miguel Mendoza

Selected Works Temporary Series

Impulsive disposition refers to one’s proclivity to spontaneously proceed with an action that comes to mind without checking its relevance. Analytic disposition refers to one’s proclivity to analyze a problem situation and establishes a goal to guide one’s actions. An instrument, called the likelihood-to-act survey, was developed to measure students’ impulsive-analytic disposition. In this study, we sought to test and refine this instrument by analyzing 92 participants’ written responses to open-ended questions that were adapted from items in the likelihood-to-act survey. We found relatively strong correlations between participants’ disposition scores for written responses and those from the likelihood-to-act survey.

Continuing Discussion Of Mathematical Habits Of Mind, Annie Selden, Kien Lim

Selected Works Temporary Series

The idea of “mathematical habits of mind” has been introduced to emphasize the need to help students think about mathematics “the way mathematicians do.” There seems to be considerable interest among mathematics educators and mathematicians in helping students develop mathematical habits of mind. The objectives of this working group are: (a) to continue the discussion of various views and aspects of mathematical habits of mind begun at PME-NA 31, (b) to explore avenues for research, (c) to encourage research collaborations, and (d) to interest doctoral students in this topic. In the Proceedings of PME-NA 31, we provided an overview of …