Science and Mathematics Education Commons^™

“It’S Just Lines”: A Qualitative Analysis Of Emergent Structures And Experiences Within Steam Education Initiatives For Secondary-Level Students, John O'Meara

LASER Journal

This qualitative analysis is oriented around the experiences and discourse of high school students participating in LASER (Linking Art and Science through Education and Research), an initiative at Montclair State University in Montclair, NJ that seeks mathematics and physics education reform through an immersive and innovative approach to STEAM (Science, Technology, Engineering, Art, and Mathematics) experiences. This work focuses on the concluding task of a one-day workshop wherein students are led on a campus walk to observe the local campus architecture, and then must recreate one of the observed structures within the Desmos graphing utility. Student approaches and narratives reveal …

Curriculum Connectivity In Montclair State University’S Undergraduate Mathematics Program, Ana G. Da Silva Jesus

Theses, Dissertations and Culminating Projects

According to Piaget’s cognitive development theory and the constructivism learning theory of education, real learning occurs when students establish long term connections between disciplines by either adapting or redefining previously acquired knowledge. These ideologies have important teaching and learning implications that directly influence curriculum development and the design of a course of study. This thesis explores the interconnectedness of the subjects required for the successful completion of an undergraduate math program at Montclair State University. More specifically, it models students’ unique connections through a learning network and investigates the correlation between the interconnectivity of subjects and students’ overall performance. Results …

Investigating Elementary School Students’ Reasoning About Dynamic Angles, Erell Germia

Theses, Dissertations and Culminating Projects

Angle measurement is a significant topic in almost all areas of mathematics learning and also in many disciplines outside mathematics education, such as engineering and architecture. According to the literature, there are three common conceptions of angles – as union of rays, rotations, and wedges. Researchers argued that students must consider these three angle concepts together to construct a meaningful understanding of angles. However, the curriculum standards for mathematics often present these angle conceptions separately to students, probably resulting in a fragmented understanding of the angle concept. In addition to this problem, the research literature documents multiple alternative conceptions that …

Science Literacy Skills Of First-Generation And Underrepresented First-Year Students And The Stem Pioneers Intervention, Rebecca Sarah Katherine Thompson

Theses, Dissertations and Culminating Projects

First-generation students and other underrepresented groups face particular challenges at college, which can affect whether they thrive in their courses and remain on track to graduate. For students interested in majoring in a STEM field (science, technology, engineering, and math), science literacy skills are necessary for success in their coursework and future careers. We investigated the impact of demographic factors on science literacy skills, retention, and grade point average (GPA). The STEM Pioneers program at Montclair State University (MSU; Montclair, New Jersey, USA) was designed to support first-generation students with an interest in STEM who have not yet declared a …

Contributions To The Teaching And Learning Of Fluid Mechanics, Ashwin Vaidya

Department of Mathematics Facuty Scholarship and Creative Works

This issue showcases a compilation of papers on fluid mechanics (FM) education, covering different sub topics of the subject. The success of the first volume [1] prompted us to consider another follow-up special issue on the topic, which has also been very successful in garnering an impressive variety of submissions. As a classical branch of science, the beauty and complexity of fluid dynamics cannot be overemphasized. This is an extremely well-studied subject which has now become a significant component of several major scientific disciplines ranging from aerospace engineering, astrophysics, atmospheric science (including climate modeling), biological and biomedical science …

Secondary Teachers’ Noticing Of Students’ Mathematical Thinking As They Participate In A Professional Development Program Centered On Task-Based Student Interviews, Gurkan Kose

Theses, Dissertations and Culminating Projects

Teacher’s noticing of students’ mathematical thinking has been an important focus of research in the past two decades (e.g., Jacobs et al., 2010; Sherin et al., 2011). Noticing matters, but it is not an end in itself (Schoenfeld, 2011). It is operationalized within the context of teachers’ dispositions and knowledge which shape decisions teachers make while responding to student thinking and planning the next instructional steps. In order for teachers to adapt productive beliefs about how children learn and shift to student-centered instruction, they need to acknowledge the importance of understanding students' existing conceptions of mathematical ideas (Carpenter & Lehrer, …

Assimilating Mathematical Thinking To The Learning Of Shadows, Taheeda Shwana Street-Conaway

Theses, Dissertations and Culminating Projects

This study focuses on a teaching experiment with 33 six-graders in a Kearny public school in Hudson County, New Jersey, during the 2017-2018 academic year. More specifically, this study explored a) the types of tasks and tools that can be used to develop students’ covariational and correspondence reasoning in learning about shadows and b) the nature of students’ reasoning about covariation and correspondence relationships as students engage in the use of tools and tasks. The results showed that the simulation and the tasks I designed had the students engaged in the learning process. Students were able to reason about the …

Pre-Service Teachers’ Engagement In A Discourse About Integers From A Sfardian Perspective, Douglas M. Platt

Theses, Dissertations and Culminating Projects

This study describes the way 14 pre-service teachers engaged in discourse about integers. The discourse being examined is framed by Sfard’s view of a discourse as being composed of the four elements word use, visual mediators, routines, and narratives (Sfard, 2008). These elements combine to form a means for people to exchange and preserve ideas and coordinate actions within a society. Each of the participants in this study engaged in a seven question, semi-structured interview (Merriam, 2009), which included prompts for the enactment of computations modeled with colored chips and the number line, in addition to written and spoken representations. …

Connecting Advanced And Secondary Mathematics, Eileen Murray, Erin Baldinger, Nicholas Wasserman, Shawn Broderick, Diana White

Department of Mathematics Facuty Scholarship and Creative Works

There is an ongoing debate among scholars in understanding what mathematical knowledge secondary teachers should have in order to provide effective instruction. We explore connections between advanced and secondary mathematics as an entry point into this debate. In many cases, advanced mathematics is considered relevant for secondary teachers simply because the content is inherently related. In this paper, we instead argue that there are connections between advanced mathematics and secondary mathematics that directly influence teaching. These are not discussions of the mathematical connections, per se, but rather discussions of specific ways in which knowing mathematical connections might influence secondary teachers’ …

Exploring Connections Between Advanced And Secondary Mathematics, Erin E. Baldinger, Eileen Murray, Diana White, Shawn Broderick, Nicholas Wasserman

Department of Mathematics Facuty Scholarship and Creative Works

The second meeting of this Working Group continues to explore questions about the connections between abstract algebra and school mathematics. Our goal is to focus in on questions around the way in which teachers’ practice might be influenced based on their understanding of such connections. In particular, we will gather interested individuals in an effort to deepen our understanding of existing connections between abstract algebra and secondary mathematics and which of these connections are important for secondary teachers to know and understand. Moreover, we aim to further research in this area by first considering connections between abstract algebra and school …

Improving Teaching Through Collaborative Reflective Teaching Cycles, Eileen Murray

Department of Mathematics Facuty Scholarship and Creative Works

Reflection and collaboration are two activities teachers can use to change and improve their practice. However, finding the time and space to do so can be challenging. The collaborative reflective teaching cycle is a structured activity teachers can use to engage in reflection and collaboration. This article describes how a seventh grade teaching team implemented a series of cycles and in what ways the cycles impacted their practice. Implications for instruction and suggestions for use of the cycles in practice are discussed.

Developing A Measure Of Scientific Literacy For Middle School Students, Helenrose Fives, Mark Nicolich, Amanda Birnbaum, Wendy Huber

Department of Public Health Scholarship and Creative Works

Scientific literacy reflects “a broad and functional understanding of science for general education purposes” (DeBoer, 2000, p. 594). Herein, we present the ongoing development of the Scientific Literacy Assessment (SLA), a work‐in‐progress measure to assess middle school students' (ages 11–14) scientific literacy. The SLA includes a selected response measure of students’ demonstrated scientific literacy (SLA‐D) and a motivation and beliefs scale based on existing measures of self‐efficacy, subjective task value, and personal epistemology for science (SLA‐MB). Our theoretical conceptualization of scientific literacy guided the development of our measure. We provide details from three studies: Pilot Study 1 (n = …

Differences Between Concrete And Virtual Manipulatives In Preparing Tenth Grade Math Students For Standardized Tests, John G. Pappas

Theses, Dissertations and Culminating Projects

Research has suggested that the use of manipulatives may enhance students’ grasp of mathematical concepts. Manipulatives may be concrete (physical) objects or virtual computer-based images of objects similar to their three-dimensional counterparts. Studies with elementary and middle-school students generally have found virtual manipulatives to outperform concrete manipulatives in enhancing students’ conceptual understanding of mathematics. However, very little research on manipulative use has been conducted with secondary school students. Furthermore, few studies have investigated instruction using virtual or concrete manipulatives across more than one content area.

This study assessed the impact of virtual and concrete manipulatives in a group of 164 …

Implementing Differentiated Strategies During Math Instruction, Jessica Cavaleri

Theses, Dissertations and Culminating Projects

In any elementary school classroom there are students with different abilities, learning styles, and personalities. Teachers need to find a successful way to individualize their teaching in order to benefit every child in the class. I designed this action research study to study the implementation of differentiated strategies in my third grade classroom at Riker Hill Elementary in Livingston, New Jersey. My class consists of 22 students during Math instruction. I studied the use of differentiated instructional techniques through the implementation of specific strategies, including group work, attending to multiple learning styles, and the use of centers. I implemented the …

Utilizing Centers To Enhance My Instruction And Students' Understanding Of Math Concepts, Samantha Rowelle Darden

Theses, Dissertations and Culminating Projects

Anyone who listens to the news hears many negative comments on the status of education in the United States today. Many say that our standards and the quality of our education have declined. We have fallen behind European and Asian countries. Our requirements and expectations have been lowered. Yet, we have never stepped back to assess what has changed and why. If we had to point to one detail to provide insight into what has changed, we would name the internet. We would call the technology explosion in the 21st century a “singularity”; an event that changes things so fundamentally …

From College Prep High School Courses To College Remedial Courses : Bridging The Gap, Tracy K. Abar

Theses, Dissertations and Culminating Projects

This study investigated students’ use of, and access to, the calculator in high school mathematics courses and compared it to the accessibility of a calculator during college placement tests. In spring 1999, at the request of the College Board, the Educational Testing Service (ETS) conducted a survey on calculator use in the nation’s schools. Ninety-nine point nine percent of the schools surveyed indicated they either required or allowed calculators for part of their college preparatory mathematics sequence. Accompanying the increased role of calculators in mathematics learning and the use of technology in the classroom, significant changes were introduced into many …

Use Of Logic Game To Improve High School Students' Logical Reasoning Skills : Results Of A Teaching Experiment, Frank Forte

Theses, Dissertations and Culminating Projects

High school students often struggle with the concept of logical reasoning. A study conducted with 37 ninth grade geometry students involved a teaching experiment. This study documented whether instruction on a logic game called the Color of the Board Game helped students’ logical reasoning skills, and if those skills could be reflected in a “‘pencil and paper” test. Each student in a control and treatment group received a pre-test with 25 multiple-choice logic questions and an open-ended question. Multiple-choice questions were based on geometry and contextual logic. The treatment group received the Color of the Board Instructional Unit between the …

The Effects Of Using The Geometer’S Sketchpad On Student Learning Of Transformations In The Coordinate Plane, Leeann Elizabeth Gennett

Theses, Dissertations and Culminating Projects

The primary purpose of this study was to investigate how grade nine honors geometry students and grade ten regular geometry students learn and retain information about three basic rigid geometric transformations with the support of the software package The Geometer’s Sketchpad in comparison to the traditional, non-software supported method of instruction.

The study was conducted in a high school with two tenth grade regular geometry classes and two ninth grade honors geometry classes. The researcher and another teacher each conducted a one-week instructional unit on the three basic, isometric transformations. Thirty-four students agreed to participate in the study. Nineteen students …