Science and Mathematics Education Commons^™

An Investigation Of Secondary Teachers’ Knowledge Of Rate Of Change In The Context Of Teaching A Standards-Based Curriculum, Jihwa Noh

Dissertations

This study investigated teachers' mathematical content knowledge and pedagogical content knowledge with respect to rate of change in the context of teaching a Standards-based high school mathematics curriculum that emphasizes rate of change as a central theme, the Core-Plus Mathematics Project (CPMP) materials. A framework was designed to provide a comprehensive guide for analyzing different aspects of rate of change knowledge incorporating existing frameworks relative to rate of change, NCTM recommendations described in Curriculum and Evaluation Standards for School Mathematics andPrinciples and Standards for School Mathematics (NCTM, 2000), and research related to pedagogical understanding of rate of change.

Data …

Effectiveness Of Teaching Modalities For Pre-College Level Mathematics Courses, Dorothy Latuszek

Dissertations

College educators are challenged with providing students with choices of teaching modalities that facilitate student achievement and success at a time when students are also seeking flexible scheduling and accommodation of their differing learning styles. This is certainly the case for college students who need to demonstrate proficiency for the content in pre-college level mathematics courses prior to enrolling in college-level mathematics courses. The term "pre-college level" is defined as courses in reading, writing, and mathematics for college students lacking those skills necessary to perform college-levelcoursework at two- or four-year college institutions (Parsad & Lewis, 2003).

Do certain teaching modalities …

Girls And Science: A Qualitative Study On Factors Related To Success And Failure In Science, Paula Denise Johnson

Dissertations

This qualitative study sought to determine how girls perceived factors that contribute to their success in science programs designed to maximize their achievement. The sample consisted of 20 students in 9th and 12th grades attending a school of choice. Respondents were interviewed using a structured interview protocol.

The National Council for Research on Women study (Thom, 2001) found that girls are more successful in math and science programs that incorporate acooperative, hands-on approach than in programs that stress competition and individual learning. This finding was supported by this study among 20 high school girls in a school whose mission is …

The Interactions Between An Orthodox Christian Worldview And Environmental Attitudes And Beliefs; For The Purpose Of Developing Better Instructional Practice In Support Of Environmental/Ecological Attitudes And Knowledge, Robert S. Keys

Dissertations

Students bring with them to the classroom a wide variety of beliefs and attitudes about the environment and its associated issues. One worldview belief structure prominently discussed in ecological discussions is the worldview of orthodox Christianity. This study uses both quantitative and qualitative measures to analyze the degree to which the orthodox Christian worldview of students influences their environmental attitudes and beliefs. Surveys were conducted with 281 undergraduate pre-service elementary teaching students enrolled in a science methods course to determine the degree to which orthodox Christian worldviews and ecological worldviews interact with one another. From this pool of students, 16 …

Using The History Of Research On Sickle-Cell Anemia To Affect Preservice Teachers’ Conceptions Of The Nature Of Science, Eric M. Howe

Dissertations

Preservice elementary teachers enrolled in an elective biology course participated in an eight-class unit of instruction based on the history of research in understanding the disease sickle-cell anemia. Students were introduced to the disease as a “mystery” for them to solve, and subsequently developed an understanding of the disease from several disciplines in biology (e.g., genetics, ecology, evolution, molecular biology). The unit involved open-ended problems in which students examined evidence and developed explanations in a manner analogous to the reasoning used by Anthony C. Allison and his colleagues during the early to middle part of the twentieth century.

Throughout the …

Thinking About Science And Christian Orthodox Beliefs: A Survey Study Of Preservice Elementary Teachers, William W. Cobern, Cathleen C. Loving

Scientific Literacy and Cultural Studies Project

Since its origination with Andrew Dickson White, the Warfare Metaphor has been used to characterize the relationship between science and religion, specifically orthodox Christianity. Though thoroughly discredited by historians of science, the ideological descendants of Thomas Huxley, who spoke of science in quasi-religious terms, have kept the Warfare Metaphor alive. On the other hand, there are substantial numbers of Christians who at least appear to oppose science given their high-profile opposition to the general theory of evolution. The purpose of the research reported in this paper was to examine this specific question: does anti-science sentiment increase with increasing orthodox Christian …

How Secondary School Mathematics Teachers Construct An Understanding Of "Appropriate Use" Of Graphing Calculators In The Context Of Collegial Inquiry, Marcia L. Weller Weinhold

Dissertations

No abstract provided.

Understanding On Concepts Of Force Of Thai Freshmen, Chokchai Usawinchai

Dissertations

The central concept of Newtonian mechanics is force. Without this concept, the students would find the rest of mechanics very difficult to master. Based on this hypothesis, the understandings and misconceptions of Newtonian mechanics were investigated.

Three hundred eighteen Thai freshmen participated in this study. The freshmen were divided into two groups according to their high school locations, Bangkok and other cities of Thailand. The Force Concept Inventory was used to probe the freshmen's understandings and misconceptions. The SPSS and EXCEL programs were used to analyze the data. The translation of the FCI into Thai and its subsequent validation is …

Student Ecosystems Problem Solving With Computer Simulation, Melissa A. Howse

Dissertations

Computer simulations, such as the BioQUEST Environmental Decision Making (EDM) program, represent a viable supplement or alternative to traditional science teaching approaches. This study concentrated on the manner in which knowledge is acquired and then disseminated through the use of the simulations. In addition, the study took into account the nature of science by revealing what notions of ecosystems and simulation were revealed when students encountered concepts imparted to them via this method. The following research questions guided this study: (1) What content knowledge do students use to solve ecology problems? (2) What procedural knowledge do students use to solve …

A Study Of Expert Problem-Solving In Qualitative Organic Analysis Using A Computer Simulation, Keith A. Schramm

Dissertations

A qualitative case study of eight doctoral level organic chemists from academia (6) and industry (2) solved eleven qualitative organic analysis problems using the Identification of Organic Compounds* software computer simulation. Think-aloud protocols were analyzed for content knowledge and strategic knowledge to account for expert performance. Each of the eleven qualitative organic analysis problems included a variety of functional groups and structures and was solved in a computer-simulated environment to allow for extensive problem-solving by the experts and to evaluate the simulation’s ability to model the problem-solving environment The data provided consisted of the typical instrumentation available to university undergraduate …

Classroom Questioning Strategies As Indicators Of Inquiry Based Science Instruction, Linda Hale Goossen

Dissertations

Inquiry teaching often rests upon the assumption that through the use of questioning and response strategies, teachers can stimulate students to actively construct knowledge. Based on this hypothesis, middle-school science lessons were observed and questioning and response strategies were identified that are related to inquiry-based instruction.

Twenty-four science lessons were observed, videotaped, and ranked by inquiry characteristics other than questioning strategy. The video and audio portions of the recordings were analyzed to determine the student and teacher’s questioning and response strategies in each classroom. These strategies were then compared to teaching style, along a continuum from traditional to inquiry, to …

An Investigation Of Preservice Elementary Teachers' Thinking About Science, William W. Cobern, Cathleen C. Loving

Scientific Literacy and Cultural Studies Project

It is not common to find media reports on the failures of science education; nor uncommon to hear prestigious scientists publicly lament the rise of anti-science attitudes. Given the position elementary teachers have in influencing children, anti-science sentiment amongst them would be a significant concern. Hence, this article reports an investigation where preservice elementary teachers responded to the Thinking about Science survey instrument. This newly developed instrument addresses the broad relationship of science to nine important areas of society and culture and is intended to reveal the extent of views being consistent with or disagreeing with a commonly held worldview …

Culturally Important Issues And Science: A Gender And Science-Interest Investigation, William W. Cobern, Cathleen C. Loving

Scientific Literacy and Cultural Studies Project

Elementary science methods students nearing completion of their preservice teacher preparation are an important source for gauging views about science and its relation to culture. This research investigates gender and science interest as correlates of the valuation of science vis-à-vis nine culturally important categories as measured by the Thinking About Science Survey. Over one thousand male and female students at a large midwestern university took part in this study.

Changing Mathematical Discourse: A Case Study Of A Secondary Mathematics Teacher, Mary Lynn Breyfogle

Dissertations

No abstract provided.

Learning To Construct Proofs In A First Course On Mathematical Proof, Peter R. Atwood

Dissertations

This study examined the conceptions o f proof that undergraduate students have upon entry to a transition course on mathematical proof how they develop skill in planning and reporting proofs, obstacles encountered, and effects of instruction on their performance in solidifying schema in proof-planning and proof-reporting.

The subjects were sophomores and juniors (n=16) in a transition course at a large midwestern university. The course was taught by one o f the co-authors o f the text, "Mathematical Proofs" (Chartrand, Polimeni, and Zhang, 1999, in press). Assessment of learning to construct proofs was through quizzes and a final exam developed by …

A Reasoned Approach To The Teaching Of Evolution In The Public's Interest, William W. Cobern

Scientific Literacy and Cultural Studies Project

Should school science “teach the controversy” about evolution? Yes–sort of. Evolution should be taught bearing in mind public interest in science, not the interests of the science community. Evolution almost always prompts “cosmic questions.” Not that evolution addresses any cosmic question per se; but, because evolution offers a mechanism for how things have come to be as they are, people quite wonder if evolution is a sufficient mechanism for what they believe about our world. People wonder if there isn’t something more that is needed. People wonder if what we believe about the world is amenable with ideas from …

In Defense Of Realism: It Really Is Commonsense, William W. Cobern, Cathleen C. Loving

Scientific Literacy and Cultural Studies Project

“What is truth?” Pilot asked Jesus of Nazareth. For many in academe today this question seems quaintly passé. Rejection of “truth” goes hand-in-hand with the rejection of epistemological realism. Educational thought over the last decade has instead been dominated by anti-realist, instrumentalist ideas of two types: first by psychological constructivism and later by social constructivism. Social constructivism subsequently has been pressed to its logical conclusion in the form of relativistic multiculturalism. Proponents of both psychological constructivism and social constructivism value knowledge for its utility and eschew as irrelevant speculation any notion that knowledge is actually about reality. The arguments are …

The Thinking About Science Survey Instrument (Tsso): An Instrument For The Quantitative Study Of Socio-Cultural Sources Of Support And Resistance To Science, William W. Cobern

Scientific Literacy and Cultural Studies Project

Many scientists and science educators are concerned about the public’s ambiguous relationship with science and this public includes elementary teachers. Like many citizens, too many elementary teachers find science disconnected from everyday life and thinking. Science is a “school” subject - not an important part of everyday life. Some may believe that science conflicts with important personal beliefs they hold about other areas of life such as religion and art. Elementary teachers who feel this disconnection with science will at best approach science teaching as something one does if school authorities demand it. Given that we are now promoting constructivist …

An Account Of Novice Phylogenetic Tree Construction From The Problem-Solving Research Tradition, Terrance E. Brisbin

Dissertations

Both the content and strategic knowledge used in phylogenetic tree construction are described to account for novice performance. A review of the literature is used to place this research with respect to studies in: problem solving studies (both expert, and novice), the history and practice of evolutionary systematics, and the teaching of evolution. The computer-based problem-solving environment is discussed along with model problems used for the research.

Each of the five research problems consists of an encoded matrix containing phylogenetic data organized by taxa and characters. Twelve participants (high school students) volunteered to solve the research problems, on their own …

The Benefits Of Observational Learning On The Mathematics Achievement Of Fourth Grade Students Involved In Peer Tutoring Sessions, Trisha R. Parish

Masters Theses

Many students struggle with mathematical concepts and operations. This leads educators to search for the most effective and efficient means of improving their academic performance. The present investigation sought to determine if a triadic peer-tutoring program would increase the acquisition of basic multiplication facts for fourth grade students. Secondly, this investigation assessed the extent to which students would benefit from observational learning opportunities within the peer tutoring sessions. A multiple baseline design across two peer-tutoring triads was utilized with student performance being assessed by measuring responses to flashcard presentations and completion of three types of mathematics probes. The first type …

An Investigation Into Relationships Between Alternative Assessment And Pre-Service Elementary Teachers’ Beliefs About Mathematics, David Charles Coffey

Dissertations

The purpose of this study was to examine how including alternative assessments in a reform-based mathematics course affects pre-service teachers’ mathematical beliefs. A single section of a mathematics course designed for elementary education majors that employed three different alternative assessments was the setting for the study.

A pre- and post-belief survey completed by students enrolled in the section under study represented the first level of data collection and analysis. The results of the pre-belief survey guided the selection of seven informants from the section and provided belief statements for the informants to verify during subsequent interviews. Based on the data …

The Rhetoric Of Science Education Reform, William W. Cobern

Scientific Literacy and Cultural Studies Project

Leon Lederman’s Project ARISE promotes a “physics first” reorganization of the secondary science curriculum. As a Nobel laureate in physics, his ideas have attracted considerable attention. Issues outside of physics, however, that Lederman does not appear ready to acknowledge will limit the impact Lederman hopes to achieve.

Students' Mental Models Of Electricity In Simple Dc Circuits, Andrew C. Isola Iii

Dissertations

This study presents the results of research into middle school students' knowledge about the nature and mechanisms of action of electricity in simple DC circuits. Sixth, seventh, and eighth graders (n=99) were asked a series of questions about the roles of bulbs, batteries, wires, and electricity in circuits. Almost half the number of students (n=42) were found to have used detailed, well-defined, and logically consistent mental models based on their responses. A total of 15 different detailed mental models were documented in these students that belonged to one of four different general model types: (1) round trip flow using both …

Students’ Conceptions Of Mathematics And The Transition From A Standards-Based Reform Curriculum To College Mathematics, Rebecca K. Walker

Dissertations

Students’ conceptions of mathematics are shaped by the environment within which they learn mathematics and in turn they affect the manner in which students engage in mathematics.

This study examined students’ conceptions about learning, knowing, and doing mathematics after studying four years of a Standards-based reform high school mathematics curriculum developed by the Core-Plus Mathematics Project (CPMP). Student conceptions were examined at the end of high school (n = 2S6) and after one semester of college mathematics (n = 92). The study also provides case studies of six students as they navigated from the CPMP curriculum through college Precalculus or …

Fostering Reflective Thinking In First-Semester Calculus Students, Pamela Crawford

Dissertations

This study focuses on the fostering of reflective thinking in students in a reform calculus course through completion of homework assignments incorporating reflective tasks, and the effect of these assignments on student understandings of calculus and conceptions of mathematics. The study, conducted in Fall 1997, involved two sections of first-semester calculus at a large midwestern university and used quantitative (n = 25, 18) and qualitative (n = 7) techniques.

Homework assignments incorporating reflective tasks included asking students to compare and contrast textbook ideas; to write about how obstacles were overcome as they attempted exercises; to develop concept maps organizing and …

The Effects Of Writing Assignments On Second-Semester Calculus Students' Understanding Of The Limit Concept, Melanie A. Wahlberg

Dissertations

The purpose of this study was to determine the impact of writing assignments on second-semester calculus students’ understanding of the limit concept, using both qualitative and quantitative techniques. The study involved two sections of second semester calculus (n = 37, 34) at Western Michigan University during the fall semester of 1997.

The treatment group completed six writing tasks focusing on the mathematical concept of limit. These conceptually-oriented writing assignments replaced some of the problem sets that the instructor would have normally assigned. The control group did not engage in writing tasks but handed in problem sets more frequently than the …

A Portrait Of Assessment In Reformed Mathematics Classrooms, James R. Kett

Dissertations

During the past decade, the National Council of Teachers of Mathematics published three documents (1989, 1991, 1995) which propose changes in content, instruction, and assessment. These documents call for instructional and assessment goals that support students as they construct their own meaning to mathematics. A next step is to develop assessment models consistent with these goals which would guide and support classroom teachers.

As a result of mathematics reform, many curriculum development projects are underway. One such project is the Core-Plus Mathematics Project (CPMP) . This research documents the assessment practices of four CPMP teachers working in 9th and 10th …

Geographic Information Systems In High School Geography Education: A Feasibility Study, C. Sonia Wardley

Masters Theses

This research focused on three aspects of the integration of GIS into the high school curriculum. Firstly, the investigation strove to demonstrate how GIS could enrich the high school geography curriculum in Michigan. Secondly, GIS software programs were evaluated for suitability using three techniques, and thirdly, the study area high schools were assessed for their technological capabilities relative to GIS.

The pedagogical and cognitive benefits of using GIS as a tool were established _ from the pertinent literature and the feasibility of incorporating GIS into the curriculum was examined with the reference to the Michigan geography content standards and benchmarks. …

Cultural Aspects Of Learning Science, William W. Cobern, Glen Aikenhead

Scientific Literacy and Cultural Studies Project

Over the past few decades our focus on learning science has evolved (Aikenhead, 1996; Cobern, 1993, 1994; Solomon, 1994). The psychological perspectives on the individual learner of earlier years, such as Piaget, Ausubel, and personal constructivism (West and Pines, 1985), have expanded to encompass sociological perspectives that contextualize learning in social settings; for instance, social constructivism, science for specific social purposes, and situated cognition (Goodnow, 1990; Hennessy, 1993; Layton, Davey and Jenkins, 1986; O'Loughlin, 1992; Solomon, 1987; Tharp and Gallimore, 1988). This chapter addresses the next stage in the evolution of our focus on learning science—an anthropological perspective that contextualizes …

Implementing Resources For Reform: One Teacher’S Experience With A Standards-Based Mathematics Curriculum, Lynn Best Royer

Masters Theses

This study addresses the issue of implementation of a reform mathematics curriculum, focusing on one teacher's personal experience. Its purpose is to uncover what motivated this teacher to persist in learning new ways to teach mathematics. There is greater emphasis on discovering what discouraged this effort. Impediments to implementation are emphasized because of their potential to undermine the movement to restructure mathematics education.

This case study used common methods of qualitative data gathering and analysis. Interviews, observation, and video tapes were recorded, transcribed, and analyzed. The impediments to implementation which emerged were then compared to reports from similar reform projects. …