Education Commons^™

Engaging Students In Partial Differential Equations Through Modeling Fourier's Law Of Conduction, Justin G. Trulen, Kayla Keller, John Sinclair, Lauren Meagher

CODEE Journal

In an effort to make active learning exercises in a partial differential equations course, we present a student activity modeling Fourier's law of conduction under the framework of the heat equation. An overview of the heat equation, including several avenues of study, is provided. Then we give an intuitive way of constructing the heat equation from a couple of fundamental properties of physics including Fourier's law of conduction. We outline an experiment that can be run to collect their own data to model Fourier's law of conduction as well as provide data we collected. We conclude with a student activity …

Bioinformatics To Guide Musculoskeletal Modeling: A Retrospective Study From Olympic Water Polo Athletes, Dhruv Seshadri, Tony Del Vecchio, Hayley Whitney, Tim Gabbett

International Journal of Exercise Science: Conference Proceedings

GNYACSM Original Research Abstract

Bioinformatics to Guide Musculoskeletal Modeling: A Retrospective Study from Olympic Water Polo Athletes

DEL VECCHIO TONY, WHITNEY HAYLEY, GABBETT TIM

Seshadri Lab; Bioengineering; Lehigh University; Bethlehem, PA

Category: Masters

Advisor / Mentor: Seshadri, Dhruv dhs223@lehigh.edu

ABSTRACT

There is a pressing need for effective injury prevention methods to mitigate time-loss injuries. This study aims to develop a robust injury risk assessment model for water polo athletes by assessing the interplay between load-response metrics, and leveraging artificial intelligence to forecast wellness based on prior assessments.

PURPOSE

Water polo athletes present with upper extremity injuries in the hip, knee, …

Implementation Of Imwr (Inspiring-Modeling-Writing-Reporting) Scaffolding On Students Cognitive Learning Outcome In The Stoichiometry Topic, Indah Langitasari, Ratna Sari Siti Aisyah, Siti Elis Sya'adah

Jurnal Inovasi Pendidikan IPA

Stoichiometry is one of the essential chemistry topics that is an abstract concept, involves complex calculations, and is related to other chemical concepts. It can cause not a few students to have difficulty learning it. Scaffolding is needed in the learning process of stoichiometry concepts to help students understand concepts more easily and improve learning outcomes. This research aims to determine differences in students' cognitive learning outcomes on the stoichiometry topic after implementing the IMWR scaffolding model. This research used experimental research with the one-group pretest-postest design. Respondents were 32 high school students who were determined by purposive sampling. The …

Exploring Students’ Epistemological Understanding Of Atomic Structure Models, Claire V. Ward, Morgan Balabanoff

The Cardinal Edge

Developing a robust understanding of atomic structure and the nature of matter is foundational across chemistry and STEM courses. The development of this concept is challenging because it relies on models to illustrate something not directly observable. Scientific models are important tools used to explain phenomena, particularly phenomena that are not directly observable. In general chemistry, students are typically asked to consider four different models: (1) the particle model, (2) the nuclear model, (3) the Bohr model, and (4) the Quantum model. Each depiction has its own advantages and limitations, where instructors introduce each model to explain specific parts of …

Collaboration In Mathematics Teacher Education: The What, How, And Why Of Mathematical Modeling, Aubrey Neihaus, Amy Bennett

The Advocate

In this paper, we share our collaboration across the disciplines of mathematics and mathematics education to develop and implement a mathematical modeling task for prospective secondary mathematics teachers. Through this collaboration, we identified three key components of mathematical modeling: the what, how, and why. In this paper, we outline these components from the literature and how each framed our development and implementation of the Sprinkler Task in our mathematics content and mathematics methods courses for secondary teachers. These three components show that mathematical modeling is a particularly fruitful space for collaboration between the disciplines of mathematics and …

Model Classrooms: One Approach To Teacher Shortages, Ashlee Boothe

The Journal of Advancing Education Practice

Due to a nationwide teacher shortage, instructional leaders are utilizing more alternatively certified teachers than in the past, creating a problem for principals (Darling-Hammond & Berry, 2006; Birinci and Amburgey, 2022). Teachers in alternatively certified programs often lack pedagogy due to an absence of educational training, and as a result, principals hire teachers who are inadequately trained for the classroom. Therefore, there is a need to improve the way instructional leaders prepare alternatively certified teachers. The solution to this dilemma is creating professional learning through model classrooms, a term coined by the author. Model classrooms serve as exemplars to other …

Differences Between All-Around Results In Women’S Artistic Gymnastics And Ways Of Minimizing Them, Almir Atiković, Edina Kamenjašević, Amra Nožinović Mujanović, Edin Užičanin, Muhamed Tabaković, Mijo Ćurić

Baltic Journal of Health and Physical Activity

Background: In the present study, the main goal was to establish whether the disciplines are equal and should the Code of Points (COP) women's artistic gymnastics be revised in terms of point standardization on apparatus. Material and methods: The sample included all-around senior female gymnasts who participated in the qualification (C-I) competitions at World Championships held in 2009-2019. Results: The biggest differences are even two points between the two apparatus vault and balance beam. Vault compared to other apparatus is different for 1.559 points. Presentation of correlations between each apparatus the evidence that nothing has changed significantly in recent years, …

Mathematical Modeling Of The Solvent Extraction Of Palm Kernel Oil From Palm Kernel, Omeiza James Momoh James Momoh, David O. Obada

Palestine Technical University Research Journal

The model for the solvent extraction of palm kernel oil from palm kernel was generated for the process at varying particle sizes of palm kernel, temperature of extraction, duration of extraction and mass of palm kernel respectively using Least Square Linear Equation. Petroleum ether was used as solvent to carry out the extraction in a soxhlet apparatus. The percentage oil yield was determined for every extraction carried out. The experimental results obtained showed that percentage oil yield decreases with increase in particle size and mass, but increases with increase in the temperature and duration of extraction. The characterization of the …

Think Aloud Modeling: Expert And Coping Models In Writing Instruction And Literacy Pedagogy, Zoi A. Traga Philippakos

The Language and Literacy Spectrum

Abstract

The purpose of this paper is to review the utility of think alouds in writing instruction and highlight the function of think-aloud modeling in the development of cognitive and metacognitive strategies that support learners’ independence. For these purposes, modeling with coping is also explained. Coping models, in which teachers encounter challenges and show how to resolve them using specific strategies, are more effective than expert models according to which tasks are completed at a level of mastery. The paper reviews learning theories and focuses on specific practices that can support learners’ self-regulation through the use of models that verbalize …

Accidental Information Literacy Instruction: The Work A Link Landing Page Can Do, Elizabeth Pickard, Michelle R. Desilets

Scholarship of Teaching and Learning, Innovative Pedagogy (2018-2020)

This article reports on a surprise finding from a larger, long-term study that explores ways to provide effective information literacy instruction (ILI) in asynchronous, online-only courses. The finding occurred during a term in which students participating in the study received no formal ILI. However, these students did not turn to the web at large when doing independent research as some literature might predict. Instead, analysis of their final research project bibliographies suggests students modeled the search scopes of select prior assignments from that same course. This finding has potential to inform parameters for adapting pedagogy for asynchronous, online-only instruction as …

Using Differential Equations To Model Predator-Prey Relations As Part Of Scudem Modeling Challenge, Zachary Fralish, Bernard Tyson Iii, Anthony Stefan

Rose-Hulman Undergraduate Mathematics Journal

Differential equation modeling challenges provide students with an opportunity to improve their mathematical capabilities, critical thinking skills, and communication abilities through researching and presenting on a differential equations model. This article functions to display an archetype summary of an undergraduate student team’s response to a provided prompt. Specifically, the provided mathematical model estimates how certain stimuli from a predator are accumulated to trigger a neural response in a prey. Furthermore, it tracks the propagation of the resultant action potential and the physical flight of the prey from the predator through the analysis of larval zebrafish as a model organism. This …

Facilitating Pedagogies Of Possibility In Teacher Education: Experiences Of Faculty Members In A Self-Study Learning Group, Jason K. Ritter, Rachel Ayieko, Christie Vanorsdale, Sandra Quiñones, Xia Chao, Christopher J. Meidl, Laura Mahalingappa, Carla K. Meyer, Julia A. Williams

Journal of Inquiry and Action in Education

This collaborative self-study explores how seven members of a Faculty Self-Study Learning Group (FS-SLG) attempt to foster cultures of inquiry with teacher candidates. In so doing, we simultaneously describe a professional learning community of teacher educators engaging in reflective practice via the teaching, learning, and enacting of self-study methodology. Findings from this collaborative self-study highlight how we attempt to translate our own efforts to be more purposeful and reflective into our teacher education practice through modeling, as well as the tensions we felt in promoting a view of teaching as a process of critical inquiry. The discussion focuses on lessons …

Brave Spaces: Augmenting Interdisciplinary Stem Education By Using Quantitative Data Explorations To Engage Conversations On Equity And Social Justice, John R. Jungck, Jon Manon

Numeracy

In workshops and courses involving in-service teachers, participating teachers can engage in problem posing and exploration of difficult issues when they are asked to quantitatively model alternative scenarios, statistically analyze complex data, and visualize these data in multiple formats. Subsequent to these activities, discussions of sensitive issues, some even considered taboo in classrooms, can open up “brave spaces” in these teachers’ classrooms. Without coaching through elaborate facilitation strategies, the in-service teachers grappled openly with the nuances of such difficult issues and raised many alternatives involving quantitative reasoning as well as considering biological, cultural, economic, social, and political factors influencing social …

Teaching Differential Equations Without Computer Graphics Solutions Is A Crime, Beverly H. West

CODEE Journal

In the early 1980s computer graphics revolutionized the teaching of ordinary differential equations (ODEs). Yet the movement to teach and learn the qualitative methods that interactive graphics affords seems to have lost momentum. There still exist college courses, even at big universities, being taught without the immense power that computer graphics has brought to differential equations. The vast majority of ODEs that arise in mathematical models are nonlinear, and linearization only approximates solutions sufficiently near an equilibrium. Introductory courses need to include nonlinear DEs. Graphs of phase plane trajectories and time series solutions allow one to see and analyze the …

Teaching Writing From The Inside Out: Teachers Share Their Own Children's Books As Models In Elementary School Classrooms, Ryan Colwell

Reading Horizons: A Journal of Literacy and Language Arts

This article describes The Bare Book Project, a writing and research project that challenged pre-service and in-service teachers to create their own original pieces of children’s literature, and use aspects of their personal writing as models for students in elementary school classrooms. Building on research regarding teacher modeling in writing classrooms, the author investigated teachers’ purposes for, and methods of using their own writing as models, as well as the benefits and challenges that teachers experienced when they incorporated their own writing during classroom writing instruction.

Graph It Out! Create Graphing Manipulatives To Explore Evolutionary Selection: A Lesson For High School Biology Students, Cassie Lawrimore, Emily A. Surber

Proceedings of the Interdisciplinary STEM Teaching and Learning Conference (2017-2019)

Students often struggle with the relationship between mathematical graphs and the data they represent. To truly understand types of evolutionary selection, students need to be proficient with several different skills in math, science, and literacy contexts. With math, students must be able to identify variables, design appropriate graphs based on those variables, and convert data to graphical format. With science, students must be able to relate identified variables to scientific classifications and interpret those classifications based on evaluation of the scenarios presented. With literacy, students must be able to comprehend, dissect, and interpret a given passage. This presentation provides a …

Student-Centered Approaches To Teaching Grammar And Writing, Lindsay J. Jeffers

Language Arts Journal of Michigan

This article questions the continued reliance on traditional approaches to the teaching of grammar, particularly the memorization of parts of speech and grammar rules. Years of studies show that grammar instruction out of the context of writing is detrimental to students. Despite much progress toward student-centered instruction, traditional methods of teaching grammar are still a cornerstone of writing instruction in many English classes. The article suggests more effective, student-centered approaches that focus on students developing as writers and readers. Through modeling and inquiry, students focus on writing as a craft and make choices as writers. It’s essential that research about …

Quantitative Reasoning In Environmental Science: Rasch Measurement To Support Qr Assessment, Robert L. Mayes, Kent Rittschof, Jennifer H. Forrester, Jennifer D. Schuttlefield Christus, Lisa Watson, Franziska Peterson

Numeracy

The ability of middle and high school students to reason quantitatively within the context of environmental science was investigated. A quantitative reasoning (QR) learning progression, with associated QR assessments in the content areas of biodiversity, water, and carbon, was developed based on three QR progress variables: quantification act, quantitative interpretation, and quantitative modeling. Diagnostic instruments were developed specifically for the progress variable quantitative interpretation (QI), each consisting of 96 Likert-scale items. Each content version of the instrument focused on three scale levels (macro scale, micro scale, and landscape scale) and four elements of QI identified in prior research (trend, translation, …

Quantitative Reasoning Learning Progression: The Matrix, Robert L. Mayes, Jennifer Forrester, Jennifer Schuttlefield Christus, Franziska Peterson, Rachel Walker

Numeracy

The NSF Pathways Project studied the development of environmental literacy in students from grades six through high school. Learning progressions for environmental literacy were developed to explicate the trajectory of learning. The Pathways QR research team supported this effort by studying the role of quantitative reasoning (QR) as a support or barrier to developing environmental literacy. An iterative research methodology was employed which included targeted student interviews to establish QR learning progression progress variables and elements comprising those progress variables, development of a QR learning progression framework, and closed-form QR assessments to verify the progression. In this paper the focus …

Teaching Quantitative Reasoning: A Better Context For Algebra, Eric Gaze

Numeracy

This editorial questions the preeminence of algebra in our mathematics curriculum. The GATC (Geometry, Algebra, Trigonometry, Calculus) sequence abandons the fundamental middle school math topics necessary for quantitative literacy, while the standard super-abundance of algebra taught in the abstract fosters math phobia and supports a culturally acceptable stance that math is not relevant to everyday life. Although GATC is seen as a pipeline to STEM (Science, Technology, Engineering, Mathematics), it is a mistake to think that the objective of producing quantitatively literate citizens is at odds with creating more scientists and engineers. The goal must be to create a curriculum …

Quantitative Reasoning Learning Progressions For Environmental Science: Developing A Framework, Robert L. Mayes, Franziska Peterson, Rachel Bonilla

Numeracy

Quantitative reasoning is a complex concept with many definitions and a diverse account in the literature. The purpose of this article is to establish a working definition of quantitative reasoning within the context of science, construct a quantitative reasoning framework, and summarize research on key components in that framework. Context underlies all quantitative reasoning; for this review, environmental science serves as the context.In the framework, we identify four components of quantitative reasoning: the quantification act, quantitative literacy, quantitative interpretation of a model, and quantitative modeling. Within each of these components, the framework provides elements that comprise the four components. The …

The Professional Development Practices Of Two Reading First Coaches, Charlotte A. Mundy, Dorene D. Ross, Melinda M. Leko

Reading Horizons: A Journal of Literacy and Language Arts

To establish job-embedded, ongoing professional development recent policies and initiatives required that districts appoint school-based coaches. The Reading First Initiative, for example, created an immediate need for coaches without a clear definition of coaches’ responsibilities. Therefore, the purpose of this case study was to investigate how two Reading First coaches interpreted and enacted their professional development responsibilities. Cross-case analyses identified similarities and differences in coaches’ enactments. Findings revealed that while each coach engaged in similar professional development responsibilities (e.g. modeling, observing, and classroom walkthroughs) their approach to these responsibilities differed — collaborative versus expert driven. These differences in approaches indicate …

Calculus, Biology And Medicine: A Case Study In Quantitative Literacy For Science Students, Kim Rheinlander, Dorothy Wallace

Numeracy

This paper describes a course designed to enhance the numeracy of biology and pre-medical students. The course introduces students with the background of one semester of calculus to systems of nonlinear ordinary differential equations as they appear in the mathematical biology literature. Evaluation of the course showed increased enjoyment and confidence in doing mathematics, and an increased appreciation of the utility of mathematics to science. Students who complete this course are better able to read the research literature in mathematical biology and carry out research problems of their own.

Optimizing Educational Resources: A Paradigm For The Pursuit Of Educational Productivity, James L. Phelps

Educational Considerations

The advantage and perhaps the major motivation for using “seat-of-the-pants” decision making is that it obscures the assumptions made in arriving at a decision. If no one knows the assumptions upon which you based your decisions, then even though they may be uneasy with the decision they will have a difficult time criticizing your assumptions or decisions.