Science and Mathematics Education Commons^™

A Reformed College Algebra Course: Understanding Instructors' And Students' Beliefs About Teaching And Learning Mathematics, Mary Williams

Department of Teaching, Learning, and Teacher Education: Theses and Other Student Research

Reforms of undergraduate mathematics (e.g. Bressoud & Rasmussen, 2015; Laursen et. al, 2011) are changing the practice of teaching and learning within their courses. Prior research has established strong connections between practices and beliefs (Brickhouse, 1990; Raymond, 1997; Aguirre & Speer, 1999), therefore changing the practices within these courses may be affecting the beliefs of those tasked to enact the reformed practices. Thus, part of the work of the reforms in undergraduate mathematics is to learn how and why these beliefs may or may not be changing in this culture of reform.

In this qualitative case study, I analyzed the …

Using Graphing To Reveal The Hidden Transformations In Palindrome (And Other Types Of) License Plates, Ryan Andrew Nivens

ETSU Faculty Works

License plates are a useful context to work with numbers, and in this article you will see a range of activities in which to engage your students. Some innovative graphing concepts are presented with license plates that allow students to investigate transformations including translations, reflections, and rotations.

Mathematics Uncovered Through Action Science, William Robertson

Departmental Papers (TE)

In an event-based series of on-site activities with high school students through an Action Science approach, fundamental concepts were explored including the foundations for functions, geometric think and spatial reasoning, the development of mathematical models, as well as techniques for working with spatial figures to understand underlying relationships. The activities in which students participated were designed to teach fundamental mathematics concepts in algebra and geometry in an approach that utilized transformative educational strategies, which helped students move from memorizing facts and content to constructing knowledge in meaningful and useful manners. With an emphasis on a collaborative data collection process, students …

Understanding College Students’ Exam Process In A General Chemistry Course, Angela Willson

Masters Theses

The main way most college chemistry courses assess what a student has learned is through a summative exam. After introductory science courses, such as general chemistry, many students cite poor teaching and disappointing grades in these courses as a reason for dropping out of STEM programs. There has been a lack of qualitative research on students’ experiences of the complete process of taking an exam from start to finish, or the exam process, which includes preparing for an exam, taking an exam, receiving feedback, and responding to feedback after the exam has been graded.

My goal in this exploratory study …

Community College And High School Partnership: College Math Readiness Program, Ernesto Oscar Reyes

Electronic Theses, Projects, and Dissertations

This study describes the partnership between an urban community college and seven high schools from its inception. The purpose of the partnership was to increase the number of high school seniors transitioning into college-level math courses through the college math readiness program, an existing community college intermediate algebra course. In addition to archival records and documents, college math faculty, high school math teachers, administrators and staff, and college students were interviewed for this study. Four major challenges were identified in the following areas: student recruitment process, data management, lack of information to students, and collaboration among math faculty and math …

Development Of Middle School Teachers' Knowledge And Pedagogy Of Justification: Three Studies Linking Teacher Conceptions, Teacher Practice, And Student Learning, Carolyn Mccaffrey James

Dissertations and Theses

Justification and argumentation have been identified as important mathematical practices; however, little work has been done to understand the knowledge and pedagogy teachers need to support students in these ambitious practices. Data for this research was drawn from the Justification and Argumentation: Growing Understanding in Algebraic Reasoning (JAGUAR) project. JAGUAR was a multi-year research and professional development project in which 12 middle school math teachers and a group of researchers explored the knowledge and pedagogy needed to support student justifications. This dissertation consists of three case study analyses. The first paper describes the development of teacher conceptions of justification, including …

Preservice Science Teachers’ Pedagogical Content Knowledge For Nature Of Science And Nature Of Scientific Inquiry: A Successful Case Study, Gunkut Mesci

Dissertations

The purpose of this dissertation project is to explore preservice science teachers’ development of pedagogical content knowledge (PCK) for targeted aspects of nature of science (NOS) and nature of scientific inquiry (NOSI). Through multiple data sources, it is examined how preservice science teachers’ understanding of NOS and NOSI have changed over the program, and manifests itself in their classroom practice. This is an exploratory multiple case study of participants’ experiences and developments during a teacher development program. Data is collected in the form of open-ended surveys, interviews, observations, lesson plans, video materials, and teaching documents. After all data is collected, …

Guided Educational Tourism As Informal Science Education: An Empirical Study, Joseph Martin Lane

Dissertations

The scientific research and education communities have long had the goal of advancing the publics’ understanding of science. Informal science education is a powerful mechanism for shaping human conduct, enhancing quality of life, and advancing the publics’ understandings and values regarding science. Guided educational tours (that present science content) provide visitors with unique opportunities to observe and discuss scientific phenomena in the field. Available empirical research related to learning science from guided educational tours is, at best, limited. Research leading to the development of effective guided educational tours that present and interpret scientific information is of interest to both non-profit …

Origin And Use Of Pedagogical Content Knowledge: A Case Study Of Three Math Teachers And Their Students, Christopher Neal Wood

Dissertations and Theses

Teachers must have specific knowledge of a subject and how to teach it to promote learning in their students (also known as pedagogical content knowledge). Research has shown that project-based curriculum can be an effective way for teachers to leverage this knowledge into deeper student understanding and application readiness, but observations about when and how this happens in the classroom have not been adequately documented. In this study we will explore teaching and learning in a middle-school boat-building curriculum focused on real-world application of math concepts. The boat-building program took place over one week, included seven students, and was taught …

An Intervention Study Aimed At Enhancing Seventh-Grade Students’ Development Of The Concept Of A Variable, Sinan Kanbir

Theses and Dissertations

Thirty-two seventh-grade students attending a public middle school in a rural district in a midwestern state of the United States of America participated in a mixed-method intervention study aimed at enhancing student understandings of the algebraic concept of a variable, especially in relation to structure and modeling. Participating students were randomly allocated to two class groups, with one class initially being taught by Mr. X and the other by Mr. Y, who had both participated in professional development sessions led by two senior mathematics educators. Mr. X initially led one of the class groups in seven sessions on algebraic structures …

The Intermediate Value Theorem As A Starting Point For Inquiry-Oriented Advanced Calculus, Stephen Raymond Strand Ii

Dissertations and Theses

Making the transition from calculus to advanced calculus/real analysis can be challenging for undergraduate students. Part of this challenge lies in the shift in the focus of student activity, from a focus on algorithms and computational techniques to activities focused around definitions, theorems, and proofs. The goal of Realistic Mathematics Education (RME) is to support students in making this transition by building on and formalizing their informal knowledge. There are a growing number of projects in this vein at the undergraduate level, in the areas of abstract algebra (TAAFU: Larsen, 2013; Larsen & Lockwood, 2013), differential equations (IO-DE: Rasmussen & …

Comparing The Effectiveness Of Two Verbal Problem Solving Strategies: Solve It! And Cubes, Margaret Tibbitt

Theses and Dissertations

The purpose of this study was to find which problem solving strategy was more effective for special education students in the general education classroom; CUBES or Solve It! The students completed a pre-test, solving five single step and five multi-step word problems. The students then received four instructional and activity sessions on the CUBES and Solve It! strategies. The results indicated that the six fourth grade special education participants increased their problem solving skills after using each strategy. The Solve It! strategy resulted in a larger increase then the CUBES strategy. The students showed a slightly larger decrease in the …

Teaching Critical And Creative Thinking Skills Through Problem-Solving In High School Mathematics Classes, Daniel L. Albert

Critical and Creative Thinking Capstones Collection

I am a high school mathematics teacher who wants students to develop the thought process that allows them to uncover and use the patterns that are the heart of mathematics. Misconceptions belittle the subject, however, and disrupt the progress of my high school students because it disguises the purpose of studying math. My purpose in joining the Critical and Creative Thinking program at the University of Massachusetts Boston was to learn about the skills and methodologies that assist in the teaching and learning of thinking critically and creatively. This paper shows the progress and evolution of my capstone project—a set …

Guest Editors' Introduction: Best Of Respect, Part 2, Tiffany Barnes, Jamie Payton, George K. Thiruvathukal, Jeff Forbes, Kristy Elizabeth Boyer

Computer Science: Faculty Publications and Other Works

The guest editors introduce best papers on broadening participation in computing from the RESPECT'15 conference. The five articles presented here are part two of a two-part series representing research on broadening participation in computing. These articles study participation in intersectional ways, through the perceptions and experiences of African-American middle school girls, the sense of belonging in computing for LGBTQ students, the impact of a STEM scholarship and community development program for low-income and first-generation college students, a leadership development program, and how African-American women individually take leadership to enable their success in computing.

Exploring Alternate Route Science Teacher Development Of Pedagogical Content Knowledge, Kim Feltre

Theses and Dissertations

The purpose of this qualitative case study was to understand how alternate route first year science teachers’ learning experiences gained from their alternate route courses translated into their classroom instruction and facilitated the development of their pedagogical content knowledge. Participants included three first year high school teachers from two alternate route program institutions. Data collection and analyses focused on semi-structured interviews, classroom observations, and teacher-generated artifacts. Findings reveal patterns among participant responses that emphasized the limited translation of learned pedagogical experiences from their alternate route programs into classroom instruction. In addition, findings show that participant alternate route program learned pedagogical …

Evaluating An Assessment Instrument For The Oregon Environmental Literacy Plan, Susan Mae Duncan

Dissertations and Theses

This mixed methods study evaluated the validity, and reliability of an instrument designed to assess a middle school student's proficiency in systems thinking as described in the 2010 Oregon Environmental Literacy Plan. In Stage 1, a forum of middle school students, formal, and non-formal educators used the Delphi technique to reach consensus regarding which skills were important to include in a scoring guide for systems thinking. In Stage 2, the scoring guide was field tested by formal and non-formal educators using a sample of students' work. The two groups' scores were compared using Cohen's kappa to make inferences regarding inter-rater …

Teaching Science, Technology, Engineering And Mathematics Through Agriculture, Food And Natural Resources, Neil Knobloch, Hui-Hui Wang

Purdue P-12 Networking Summit & Poster Session

Teaching Science, Technology, Engineering and Mathematics through Agriculture, Food and Natural Resources

Promoting Effective Teaching In Science Learning Through Engineering Design [Sled], Brenda Capobianco, James Lehman, Chell Nyquist, Todd Kelley, Nancy Tyrie

Purdue P-12 Networking Summit & Poster Session

No abstract provided.

Purdue Science K-12 Outreach: Impact For K-12 Schools In Indiana, Bill Walker, Bill Bayley, Isidore Julien, Phil Sands, David Sederberg, Steven Smith

Purdue P-12 Networking Summit & Poster Session

For over 25 years Purdue Science K-12 Outreach has worked to increase interest and achievement in K-12 science and mathematics. Outreach coordinators, representing the departments in the College of Science, establish cooperative relationships with elementary and secondary schools to bring the latest developments in discipline-based science and mathematics education to the classroom. Programs include translating research into practice and using technology to support K-12 student learning. The Science K-12 Outreach program is actively involved with state education organizations and government agencies. Coordinators regularly participate with the Hoosier Association of Science Teachers, the Indiana Computer Educators, and the Indiana Council of …

Energy3d: Guiding Engineering Design With Science Simulations, Chandan Dasgupta, Alejandra J. Magana, Lisa Kirkham

Purdue P-12 Networking Summit & Poster Session

The Purdue P-12 Networking Summit gives Purdue faculty and staff engaged with P-12 schools a forum to interact with each other, share ideas, and develop collaborations that make programs more effective. Faculty and staff are invited to attend.

Conceptual Model-Based Problem Solving: A Response To Intervention Program In Mathematics Problem Solving (Comps-Rti), Yan Ping Xin, Victor Chen, Signe E. Kastberg

Purdue P-12 Networking Summit & Poster Session

No abstract provided.

Effects Of Inquiry-Based Instruction On Science Achievement For Students With Disabilities: An Analysis Of The Literature, Karen L. Rizzo, Jonte C. Taylor

Journal of Science Education for Students with Disabilities

In comparison to the past, more students with disabilities are being included in the general education classroom for science instruction. Though inquiry-based instruction has not shown to be an effective practice for students with disabilities, it is vastly becoming the dominant practice in science education. The purpose of this review is to examine the effects of inquiry-based instruction on science achievement for students with disabilities. The twelve studies, meeting selection criteria, report improvement in science achievement using inquiry practices. The participants and settings, variations of inquiry-based instruction, science achievement measures, and teacher training were addressed in this review. Two major …

Creating A Stem Community Of Practice To Support Stem Teacher Retention, Jennifer Hicks, Brandon Sorge, Jeff Thomas, Jeff Nowak, Deb Vannatter, Joseph Bellina

Purdue P-12 Networking Summit & Poster Session

No abstract provided.

Build Strong Bodies And Minds Through Service Learning, David Sederberg

Purdue P-12 Networking Summit & Poster Session

In Physics and Astronomy at Purdue, service learning is an essential component to our outreach programs. While providing authentic deliverables to the “customer,” service learning engages individuals in ways through which they are able to make meaningful contributions, while at the same time developing their own knowledge and expertise in an area of personal interest or commitment. That learning may involve leadership, instructional design, communication of science fundamentals and applications to K-12 and general audiences, research, reflective practice, and the acquisition of skills that last a lifetime. This presentation illustrates ways in which we leverage resources between service learning and …

The Effects Of Using The Gomath Program On Teaching Computation Skills For Students With Learning Disabilities, Patricia Virginia Giordano

Theses and Dissertations

The purpose of this study was to evaluate the effects on teaching math computation skills to students with learning disabilities (LD) using the GoMath program and to examine the teachers’ and students’ satisfaction with this program in their teaching and learning. Four, 3rd and 4th graders with LD were taught by one special education teacher in a resource room and participated in learning computation skills for 60 minutes, 5 days per week for 12 weeks, using the Go Math program. A multiple baseline research design with A B phases across students was used to evaluate their performance. The findings indicated …

Indiana Science Initiative Increases Istep+ Passing Rates, Paul Ainslie

Purdue P-12 Networking Summit & Poster Session

No abstract provided.

The Effects Of The Ride Strategy On Teaching Word Problem Solving Skills To Students With Learning Disabilities, Sandra Kay Locke

Theses and Dissertations

The purpose of the present study was to evaluate the effects of the RIDE, a mnemonic device on solving word problems for middle school students with Learning Disabilities and to examine the teacher and student satisfaction in teaching and learning using RIDE to solve word problems. Two male 8th graders participated in this study. They were both classified as having learning disabilities and were learning mathematics at a 3rd grade level. A single subject design with ABC phases was used in this study. During the baseline, the students were given a quiz with 5 word problems each day for ten …

Effectiveness Of A Parent-Child Home Numeracy Intervention On Urban Catholic School First Grade Students, Millicent D. Lore, Aubrey H. Wang, M. Toni Buckley

Journal of Catholic Education

Catholic social teaching affirms the primary role of parents in their children’s education, as well as the importance of forging a positive home-school partnership. The purpose of this article is to provide empirical evidence for further cultivating a collaborative, home-school relationship aimed at improving the mathematics performance of Catholic school first grade students by training parents as providers of at-home numeracy support. The participants included 60 parents (29 Black; 2 Asian; 1 Latino; 26 White; and 2 other) from two urban, Catholic schools. Parents randomly assigned to the experimental group received numeracy training and materials and then, implemented a 15-week …

Gaiseing Into The New Guidelines, Robert Carver, Megan Mocko, Jeffrey Witmer, Beverly Wood

Publications

The first GAISE College Report came out in 2005. Over the past ten years our discipline has changed in many ways, including but not limited to what type of data is easily available, the technology that we use, as well as how we teach students. In this presentation we will briefly start with how the new GAISE 2016 guidelines and goals have changed, including the two new emphases of statistical thinking: giving students experience with multivariable thinking and with the investigative process. So how do you start to implement these new ideas? In this presentation, we will demonstrate an activity …

The Power Of X, Darren B. Glass

Math Faculty Publications

In his recent book, The Math Myth: And Other STEM Delusions, political scientist Andrew Hacker argues, among other things, that we should not require high school students to take algebra.

Part of his argument, based on data some have questioned, is that algebra courses are a major contributor to students dropping out of high school. He also argues that algebra is nothing more than an "enigmatic orbit of abstractions" that most people will never use in their jobs. [excerpt]