Science and Mathematics Education Commons^™

Associating Mathematics To Its History: Connecting The Mathematics We Teach To Its Past, Joseph M. Furner, Ernest A. Brewer

Transformations

Across the USA and around the world now, globalization has taken a strong hold. The purpose of this paper is to explore the historical considerations that can be incorporated in the teaching of mathematics. The paper will also provide suggestions for teaching math by interweaving historical elements into the mathematics instruction. Teachers should strive to bridge the cultural and historical gap among all students by incorporating innovative ideas as well as historical and cultural connections into their teaching so to foster understanding, appreciation, and tolerance for the richness inherent in diversity and a sound understanding of mathematics and appreciation for …

Differentiating Instruction Through Math Stations And Literacy Centers, Olivia Bates

Faculty Curated Undergraduate Works

Differentiating instruction based on students’ readiness, interests, and learning profiles is essential for creating effective and meaningful learning activities. Identifying these characteristics allows teachers to meet students’ needs and engage them in learning. By differentiating instruction, educators target specific students’ strengths and challenges in developing lessons to support their understanding of content. Two useful strategies for differentiating math and literacy instruction include stations and centers. In stations and centers, students work on specific skills catered to their educational needs while rotating activities in flexible groups. This guide supports teachers in identifying strategies and understanding the benefits of differentiating math and …

Freedom Through Inquiry, Francis Su

All HMC Faculty Publications and Research

I delivered this speech at the Inquiry‐Based Learning Forum & 19th Annual Legacy of R.L. Moore Conference on August 4, 2016. It is partly an homage to an influential teacher, partly an excuse to articulate what makes some styles of teaching so effective, and partly an excuse to talk about difficult issues facing our nation and our classrooms today.

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 …

Strategies For Teaching Developmental Mathematics Students At The College Level, Natalie Lynn Kautz

Theses and Dissertations

The purpose of this investigation was to identify strategies used by effective instructors of developmental mathematics, and to discover the perceptions developmental mathematics students have about these strategies. While there are research projects focusing solely on developmental mathematics achievement, this study fills a need by incorporating views of teaching effectiveness from multiple viewpoints.

In this research project, college-level instructors of developmental mathematics students were recorded on video before, during, and after the teaching of an algebraic concept. Students were given a pre-lesson survey and post-lesson survey to see if there were gains in their learning. Students completed a survey about …

Multivariate Thinking In An Intro Stats Course – Is It Possible?, Beverly Wood

Publications

Many of our students have an intuitive sense that there is more to the story than univariate or bivariate data can tell us. We can acknowledge and encourage that habit of digging deeper by demonstrating some ways to look at additional variables. Simpson’s paradox and side-by-side scatter plots are ways to provide a glimpse of more complex analysis that are accessible to students in an introductory course with or without strong quantitative skills.

Eighth-Grade Students' Use And Justification Of Multiple Represenations, Maria Nielsen

Honors Projects

The purpose of this study is to explore students’ use of multiple representations in the classroom and their reasoning for representation choice. The participants of this study were 22 eighth-grade students. All students took a short pretest consisting of three items. The items addressed mathematics content covered during regular instruction. Students were asked to answer each question using different representations. Usual instruction included frequent probing and encouragement of students' representation use while problem solving. Students were asked to explain their reasoning when problem solving and share their representations with others. Following the unit of instruction, students completed a posttest composed …

Photosynthesis And Cellular Respiration (Ls1): A Hands-On Approach For Grades 6–12, Laura Robertson, Lashay Jennings, Scott Honeycutt, Karin Keith, Chih-Che Tai

ETSU Faculty Works

Integrate the NGSS and CCSS ELA by using a cycle of science and ELA activities to help students learn about the flow of energy between photosynthesis and cellular respiration.

Forces And Motion (Ps2): An Integrated K–8 Hands-On Approach Supporting The Ngss And Ccss Ela, Laura Robertson, Lashay Jennings, Huili Hong, Karin Keith, Chih-Che Tai

ETSU Faculty Works

Explore the benefits of merging experiential science and literacy instruction to deepen students’ understanding of force and motion.

Hybrid Plcs: Building Collaboration Among Teachers In Different Schools, Laura Robertson, Pamela Cromie, Lindsay Lester, Jennifer Hill, Diana O'Neal

ETSU Faculty Works

How do highly motivated teachers from different schools collaborate? We formed a hybrid PLC that included face-to-face meetings and online interactions to improve student learning.

Using Relevance To Inspire Engagement In Disengaged Secondary Mathematics Students, Cherie Lynn Burkett

Graduate Theses/Dissertations

With the advances being made in technology, our nation is in dire need of a work force degreed with mathematics and science. In the past few decades, the United States has seen a decline in the proportion of college graduates who majored in mathematics-intensive subjects. If our demand is high, why is our supply decreasing? Research suggests that traditional teaching methods using skills-based curricula make it difficult for students to take an interest in a confusing topic like mathematics in which they see no immediate relevance. I have spent a semester engaged in action research taking steps to increase student …

Model Of The Use Of Evolutionary Trees (Muet), Yi Kong, Trevor Anderson, Nancy Pelaez

PIBERG Instructional Innovation Materials

This Glossary is intended for both teachers and their students who are learning about evolutionary trees. To improve K-14 teachers’ and students’ as well as non-biology major undergraduate students’ understanding of trees, the Model of the Use of Evolutionary Trees (MUET) was developed based on professional biologists’ use of evolutionary trees in their scientific publications in 2012-2013. Definitions of terminology in this Glossary are referenced to published literature listed at the end of this Glossary. In addition to the Glossary and the MUET in html format, below as an additional link to a file giving you the Glossary in MSWord …

Biological Evolution In Canadian Science Curricula, Anila Ashgar, Sarah Bean, Wendi O'Neill, Brian Alters

Education Faculty Articles and Research

"The social controversy around biological evolution and creationism continues to persist throughout North America (Alters and Nelson 2002; Berkman and Plutzer 2011; Moore and Cotner 2009; Wiles and Alters 2011; Winslow and others 2011; Rissler and others 2014). This fierce debate has been quite visible in the United States, but seems to be relatively muted in Canada, which may lead many to believe that the dispute does not exist north of the border. While this issue has been researched and documented thoroughly in the US, relatively little is known about its dynamics in Canada, despite the powerful presence of such …

What Is Equity? Ways Of Seeing, Christa Jackson, Cynthia Taylor, Kelley Buchheister

Department of Child, Youth, and Family Studies: Faculty Publications

Prospective teachers must be prepared for their role in providing equitable access for learning high quality mathematics. Therefore, it is imperative that mathematics teacher educators provide opportunities to develop an equity-centered orientation in teacher preparation courses. In this study, we begin to address this issue by identifying what prospective teachers attend to in a classroom vignette of an African American male student who is above grade level in mathematics and exhibits disruptive behavior during instruction. The results of the study indicate that while participants are beginning to attend to cultural influences, most responses are focused on classroom management strategies

Teac 315: Teaching Science In The Elementary School—A Peer Review Of Teaching Project Benchmark Portfolio, Krista Adams

UNL Faculty Course Portfolios

Teaching Science in the Elementary School (TEAC 315) is an upper-division course taken by elementary education majors as a requirement for the Bachelor of Science (BS) in Education. The peer review of teaching project had me identify concerns for teaching the elementary methods course. The concerns I wanted to address focused on eliciting teacher candidate’s views and experiences with teaching science as well as my ability to identify evidence of growth. The first area focuses on my needing to understand if I need to develop more instructional strategies to support teacher candidate growth. This involves both in terms of specific …

An Activity Aimed At Improving Student Explanations Of Biological Mechanisms, Caleb M. Trujillo, Trevor R. Anderson, Nancy J. Pelaez

PIBERG Instructional Innovation Materials

This document is intended for use by instructors and their students. The activity contains steps to introduce students to the MACH model involving analyzing and discussing explanations about biological mechanisms. Initially, students read modified articles about biological mechanisms during class, although instructors may prefer to assign readings outside of class before the activity. During the activity, students are required to analyze the readings for evidence of research methods, analogies, context, and mechanisms. In so doing, students learn how to integrate the information pertaining to each of the MACH model components into a coherent explanation about their biological mechanism. After performing …

A Tetrahedral Version Of The Mach Model For Explaining Biological Mechanisms, Caleb M. Trujillo, Trevor R. Anderson, Nancy J. Pelaez

PIBERG Instructional Innovation Materials

This document is intended for both instructors and students. Modified from the original MACH model this version, once cut and folded, creates a tetrahedral model that can conveniently be used as a teaching and learning tool to inform and guide students on how to write expert quality explanations of biological mechanisms. Each vertex of the tetrahedron represents a component of the model namely, Methods, Analogy, Context, and How. For a coherent and complete explanation about molecular mechanisms, it is important to integrate information pertaining to all four components of the model. The tetrahedral MACH model has been tested in both …

Translating And Adapting The Postt For Formative Assessment Of Indonesian Preservice Science Teachers’ Pedagogical Orientations, Listiani

Masters Theses

Indonesia has experienced problems in teacher quality, especially science teachers. Regarding this problem, a teacher-training program, in which preservice teachers are directed to use the most appropriate science teaching methods, is important to prepare qualified teachers. Having formative assessments for assessing Indonesian preservice science teachers’ teaching orientations is important. Therefore, the Pedagogy of Science Teaching Test (POSTT) was translated and adapted into Bahasa as a formative assessment for preservice science teachers. There were eight steps to translate and validate the POSTT into Bahasa (Indonesian language). The translation and validation processes involved eight experts in the target language and eight science …

Planning And Enacting Mathematical Tasks Of High Cognitive Demand In The Primary Classroom, Kelly Georgius

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

This study offers an examination of two primary-grades teachers as they learn to transfer knowledge from professional development into their classrooms. I engaged in planning sessions with each teacher to help plan tasks of high cognitive demand, including anticipating and planning for classroom discourse that would occur around the task. A detailed description of the planning and teaching that took place during the study provides information about how a teacher can learn and what a teacher learns to consider in order to plan and implement meaningful mathematical lessons. This design experiment describes the work of two teachers who participated in …

Lack Of Quantitative Training Among Early-Career Ecologists: A Survey Of The Problem And Potential Solutions, F. Barraquand, T. G. Ezard, P. Søgaard Jørgensen, Naupaka B. Zimmerman, S. Chamberlain, R. Salguero-Gómez, T. J. Curran, T. Poisot

Biology Faculty Publications

Proficiency in mathematics and statistics is essential to modern ecological science, yet few studies have assessed the level of quantitative training received by ecologists. To do so, we conducted an online survey. The 937 respondents were mostly early-career scientists who studied biology as undergraduates. We found a clear self-perceived lack of quantitative training: 75% were not satisfied with their understanding of mathematical models; 75% felt that the level of mathematics was “too low” in their ecology classes; 90% wanted more mathematics classes for ecologists; and 95% more statistics classes. Respondents thought that 30% of classes in ecology-related degrees should be …

The Effectiveness Of The Flipped Classroom, Raymond Szparagowski

Honors Projects

This research study explores the “flipped” or “inverted” classroom and its effects on student learning. The flipped classroom is a form of education in which students learn new content during out-of-class-time instead of the traditional review exercises that are normally given, which opens up class time for activities, problem solving, and other forms of instruction. During this study, a flipped classroom was implemented in a high school mathematics course. Data was collected from student grades, a pre and post survey, a class interview/discussion, and my personal notes from teaching. My results indicate that some potential benefits of the flipped classroom …

Teaching Undergraduates How To Analyze, Ryan Andrew Nivens, Rosalind Raymond Gann

ETSU Faculty Works

Analysis is typically listed in taxonomies of higher order thinking. Academics consider these taxonomies worthwhile, but they are hard to teach and we are apt to ignore them. Today higher education is criticized for “dumbing down” curriculum or lowering standards. To rectify this, many policies at the state or national level are requiring higher education institutions to change. In K-12 education, Race to the Top and Common Core requirements are placing new demands on K-12 teacher preparation, which include evaluation of the analysis skills of pre-service teachers. But professors do not always view their disciplines as the proper place for …

Dissemination Of Microprocessor Courses Through Classroom And Interactive Cyber-Enabled Technologies, Steve C. Hsiung, John M. Ritz, Ece Yaprak, Thomas B. Stout, Richard L. Jones

Engineering Technology Faculty Publications

The project is in the middle stages of the implementation. There seems to be a positive attitude of learning and using of the training system and curriculum package by all project staffs. Microchip, Inc. and microEngineering Labs, Inc. have donated supplies to support the hardware and software development for this project. The next objectives are team training, recruitment of interested trainees/teachers to participate in training for summers 2014, and assess the effectiveness of the implementations with teachers and students. Photo 2 is the project logo that describes all the concepts of this project.

Inclusion: Problems And Potential Solutions In Mathematics Instruction, Lynnea Marie Salscheider

Mathematics Graduate Theses

The purpose of this study was (1) to identify and describe the attitudes and beliefs of general and special education teachers about inclusion and (2) to identify significant recommendations based on teacher attitudes for improving the teaching of mathematics to special needs students using inclusion.

Differentiated Instruction In The High School Mathematics Classroom, Sherri Kruger

Mathematics Graduate Theses

The purpose of this research paper is to address the challenges of instruction within a classroom whose census is a diverse mixture of student mathematical abilities. The diverse ability of low and high achieving students all required to master the different strands of mathematics creates problems for instructors and students to stay engaged and actively moving forward deepening and widening their knowledge base. This paper will focus on differentiated lessons, assessments, and projects of a mathematics classroom in a public high school.

Textbooks, Teachers, And Middle School Mathematics Student Achievement, Susan R. Monaghan

Dissertations (1934 -)

The purpose of this study was to extend the research on textbook effectiveness to a situated investigation of a single large urban school district in which middle schools were given a choice in selecting from three textbooks for mathematics instruction: a reform textbook, a commercially produced textbook developed in response to mathematics standards, and a traditional textbook. Its genesis is rooted in the efforts in the mathematics education community to investigate the interaction of teachers and mathematics curriculum materials, but in light of the shift to an accountability policy climate in public education. In particular, this study sought to determine …

Cataloging Lesson Plans Developed By Pre-Service Science Teachers During A Summer Research Experience, Robert Tollman Mclaren

Physics

This study is modeled after the senior project “Teachers Who Conduct Research and their Ability to Apply their Experience to Lesson Plans” by Cal Poly student Megan Ziegler and includes an independent analysis of the 2011 and 2012 lesson plans that participants in the STEM Teacher and Researcher (STAR) Program developed as part of their summer research experience. At the end of the STAR summer research program, STAR Fellows are required to submit lesson plans. During Spring Quarter of 2012, I had the opportunity to catalog lesson developed during Summer 2011. Later in Fall Quarter of 2012, Cal Poly undergraduates …

Gaise In Discipline-Specific Courses, Beverly Wood

Publications

While acknowledging the diverse setting, audience, and purpose of introductory courses, existing research assumes that courses offered by different disciplines share the same goals and teaching practices. The purpose of this study is to examine the objectives for student outcomes and pedagogical delivery of introductory statistics courses designed for students in a specific major, providing explicit evidence for this assumption.

The American Statistical Association’s Guidelines for Assessment and Instruction in Statistics Education (GAISE) are meant to apply to all introductory courses. The College Report’s Goals for Students and Recommendations for Teaching are used as a framework for a qualitative study …

Improving Student Achievement Through Feedback, Jennifer L. Mchlachlan

Mathematics Graduate Theses

This paper reviews the current research that exists on feedback given to students in an educational setting. Questions examined were what characteristics make feedback effective, what are the effects on student achievement if feedback is available to students in a math classroom and does timing of the feedback given play a role in its effectiveness. Results showed that feedback is effective if it is descriptive, including both strengths and weaknesses. Feedback given in small doses throughout the learning process, so as not to overwhelm students, has also proven effective. The research shows that the effect of feedback on student achievement …

A Data Generating Review That Bops, Twists And Pulls At Misconceptions, Kimberly Gardner

Faculty Articles

Statistics is an integral part of the K-12 mathematics curriculum (age 5-18). Naturally, students construct misconceptions of what they learn. This article discusses The Bop It^© Challenge, a review activity assesses student understanding and reveals their misundertandings of statistical concepts.