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Articles 31 - 60 of 5801
Full-Text Articles in Education
Special Issue On Public Policy: Front Matter
Special Issue On Public Policy: Front Matter
CODEE Journal
The Front Matter contains the Editor-in-Chief's Foreword, a Dedicatory by Associate Editor Douglas Meade, a Preface by the Special Editors Bev West and Samer Habre, and the Table of Contents.
Full Issue - Engaging The World: Differential Equations Can Influence Public Policies
Full Issue - Engaging The World: Differential Equations Can Influence Public Policies
CODEE Journal
This is the full issue (front matter and all papers) of the Third CODEE Special Issue, with the theme, "Engaging the World: Differential Equations can Influence Public Policies."
Instructional Decision Making In A Gateway Quantitative Reasoning Course, Deependra Budhathoki, Gregory D. Foley, Stephen Shadik
Instructional Decision Making In A Gateway Quantitative Reasoning Course, Deependra Budhathoki, Gregory D. Foley, Stephen Shadik
Numeracy
Many educators and professional organizations recommend Quantitative Reasoning as the best entry-level postsecondary mathematics course for non-STEM majors. However, novice and veteran instructors who have no prior experience in teaching a QR course often express their ignorance of the content to choose for this course, the instruction to offer students, and the assessments to measure student learning. We conducted a case study to investigate the initial implementation of an entry-level university quantitative reasoning course during fall semester, 2018. The participants were the course instructor and students. We examined the instructor’s motives and actions and the students’ responses to the course. …
Applying The Sir Model: Can Students Advise The Mayor Of A Small Community?, Carrin Goosen, Mark I. Nelson, Mahime Watanabe
Applying The Sir Model: Can Students Advise The Mayor Of A Small Community?, Carrin Goosen, Mark I. Nelson, Mahime Watanabe
CODEE Journal
This is an account of a modelling scenario that uses the sir epidemic model. It was used in a third year applied mathematics subject. All students were enrolled in a mathematics degree of some type. Students are presented with the results of a test carried out on 100 individuals in a community containing 3000 people. From this they determined the number of infectious and recovered individuals in the population. Given the per capita recovery rate and making a suitable assumption about the number of infectious individuals at the start of the epidemic, they then estimate the infectious contact rate and …
Raising Student Awareness Of Environmental Issues Via Writing Assignments With Differential Equations, Michelle L. Ghrist
Raising Student Awareness Of Environmental Issues Via Writing Assignments With Differential Equations, Michelle L. Ghrist
CODEE Journal
In this paper, I discuss two environmentally-focused writing assignments that I developed and implemented in recent integral calculus and differential equations courses. These models of carbon storage and PCB’s in a river provide interesting applications of one-compartment mixing problems. The assignments were intended to focus student attention on sustainability concerns while also developing other essential skills. I discuss these assignments and their effect on my students’ technical writing and environmental awareness. Detailed introductory instructions and mostly complete solutions to these assignments appear in the appendices, to include sample student work.
Blue Whale And Krill Populations Modeling, Li Zhang
Blue Whale And Krill Populations Modeling, Li Zhang
CODEE Journal
We present an intriguing topic in an undergraduate mathematical modeling course where predator-prey models are taught to our students. We describe modeling activities and the use of technology that can be implemented in teaching this topic. Through modeling activities, students are expected to use the numerical and graphical methods to observe the qualitative long-term behavior of predator and prey populations. Although there are other choices of predators and prey, we find that using blue whales and krill as predator and prey, respectively, would be most beneficial in strengthening our students' awareness of protecting endangered species and its impact on climate …
Using A Sand Tank Groundwater Model To Investigate A Groundwater Flow Model, Christopher Evrard, Callie Johnson, Michael A. Karls, Nicole Regnier
Using A Sand Tank Groundwater Model To Investigate A Groundwater Flow Model, Christopher Evrard, Callie Johnson, Michael A. Karls, Nicole Regnier
CODEE Journal
A Sand Tank Groundwater Model is a tabletop physical model constructed of plexiglass and filled with sand that is typically used to illustrate how groundwater water flows through an aquifer, how water wells work, and the effects of contaminants introduced into an aquifer. Mathematically groundwater flow through an aquifer can be modeled with the heat equation. We will show how a Sand Tank Groundwater Model can be used to simulate groundwater flow through an aquifer with a no flow boundary condition.
To Open Or Not To Open: Developing A Covid-19 Model Specific To Small Residential Campuses, Christina Joy Edholm, Maryann Hohn, Nicole Lee Falicov, Emily Lee, Lily Natasha Wartman, Ami Radunskaya
To Open Or Not To Open: Developing A Covid-19 Model Specific To Small Residential Campuses, Christina Joy Edholm, Maryann Hohn, Nicole Lee Falicov, Emily Lee, Lily Natasha Wartman, Ami Radunskaya
CODEE Journal
In May 2020, administrators of residential colleges struggled with the decision of whether or not to open their campuses in the Fall semester of 2020. To help guide this decision, we formulated an ODE model capturing the dynamics of the spread of COVID-19 on a residential campus. In order to provide as much information as possible for administrators, the model accounts for the different behaviors, susceptibility, and risks in the various sub-populations that make up the campus community. In particular, we start with a traditional SEIR model and add compartments representing relevant variables, such as quarantine compartments and a hospitalized …
Fitting A Covid-19 Model Incorporating Senses Of Safety And Caution To Local Data From Spartanburg County, South Carolina, D. Chloe Griffin, Amanda Mangum
Fitting A Covid-19 Model Incorporating Senses Of Safety And Caution To Local Data From Spartanburg County, South Carolina, D. Chloe Griffin, Amanda Mangum
CODEE Journal
Common mechanistic models include Susceptible-Infected-Removed (SIR) and Susceptible-Exposed-Infected-Removed (SEIR) models. These models in their basic forms have generally failed to capture the nature of the COVID-19 pandemic's multiple waves and do not take into account public policies such as social distancing, mask mandates, and the ``Stay-at-Home'' orders implemented in early 2020. While the Susceptible-Vaccinated-Infected-Recovered-Deceased (SVIRD) model only adds two more compartments to the SIR model, the inclusion of time-dependent parameters allows for the model to better capture the first two waves of the COVID-19 pandemic when surveillance testing was common practice for a large portion of the population. We find …
Differential Equations For A Changing World:How To Engage Students In Learning And Applying Differential Equations, Biyong Luo
CODEE Journal
In this article, I share my decade-long experience teaching an intensive five-week summer Differential Equation course covering complex topics and tips for creating an interactive and supportive learning environment to optimize student engagement. This article provides my detailed approach to planning and teaching an asynchronous course with rigor and flexibility for each student. An interactive teaching approach and variety of learning activities will augment students’ mathematical fluency and appreciation of the importance of differential equations in modeling a wide variety of real-world situations with special attention to ways differential equations can be relevant to creating public policy.
Nonlinear Dynamics Of Mountain Pine Beetle Populations: Discussion Of Forestry Policy, A Survey Of Existing Mathematical Models, And Code Base Demonstration, Scott A. Strong, Maya Maes-Johnson
Nonlinear Dynamics Of Mountain Pine Beetle Populations: Discussion Of Forestry Policy, A Survey Of Existing Mathematical Models, And Code Base Demonstration, Scott A. Strong, Maya Maes-Johnson
CODEE Journal
This article presents existing mathematical models associated with mountain pine beetle populations in lodgepole pine forests, whose reproductive cycle requires the destruction of colonized host trees, decreasing timber availability/quality, and providing fuel sources for wildfires. With the existence of a positive-feedback loop with environmental warming, the need for intervention and management is clear. However, the legislative responses to the focusing events from our 2000-2010 North American epidemics are characterized as under-leveraged. While the reasons for this are multifaceted, increasing the capacity of STEM-informed individuals to take part in quantitative modeling of the underlying ecosystem generates awareness and provides pathways connecting …
Ode Models Of Wealth Concentration And Taxation, Bruce Boghosian, Christoph Borgers
Ode Models Of Wealth Concentration And Taxation, Bruce Boghosian, Christoph Borgers
CODEE Journal
We refer to an individual holding a non-negligible fraction of the country’s total wealth as an oligarch. We explain how a model due to Boghosian et al. can be used to explore the effects of taxation on the emergence of oligarchs. The model suggests that oligarchs will emerge when wealth taxation is below a certain threshold, not when it is above the threshold. The underlying mechanism is a transcritical bifurcation. The model also suggests that taxation of income and capital gains alone cannot prevent the emergence of oligarchs. We suggest several opportunities for students to explore modifications of the model.
Modeling Aircraft Takeoffs, Catherine Cavagnaro
Modeling Aircraft Takeoffs, Catherine Cavagnaro
CODEE Journal
Real-world applications can demonstrate how mathematical models describe and provide insight into familiar physical systems. In this paper, we apply techniques from a first-semester differential equations course that shed light on a problem from aviation. In particular, we construct several differential equations that model the distance that an aircraft requires to become airborne. A popular thumb rule that pilots have used for decades appears to emanate from one of these models. We will see that this rule does not follow from a representative model and suggest a better method of ensuring safety during takeoff. Aircraft safety is definitely a matter …
Odes And Mandatory Voting, Christoph Borgers, Natasa Dragovic, Anna Haensch, Arkadz Kirshtein, Lilla Orr
Odes And Mandatory Voting, Christoph Borgers, Natasa Dragovic, Anna Haensch, Arkadz Kirshtein, Lilla Orr
CODEE Journal
This paper presents mathematics relevant to the question whether voting should be mandatory. Assuming a static distribution of voters’ political beliefs, we model how politicians might adjust their positions to raise their share of the vote. Various scenarios can be explored using our app at https: //centrism.streamlit.app/. Abstentions are found to have great impact on the dynamics of candidates, and in particular to introduce the possibility of discontinuous jumps in optimal candidate positions. This is an unusual application of ODEs. We hope that it might help engage some students who may find it harder to connect with the more customary …
Solar Panels, Euler’S Method And Community-Based Projects: Connecting Differential Equations With Climate Change, Victor J. Donnay
Solar Panels, Euler’S Method And Community-Based Projects: Connecting Differential Equations With Climate Change, Victor J. Donnay
CODEE Journal
How does mathematics connect with the search for solutions to the climate emergency? One simple connection, which can be explored in an introductory differential equations course, can be found by analyzing the energy generated by solar panels or wind turbines. The power generated by these devices is typically recorded at standard time intervals producing a data set which gives a discrete approximation to the power function $P(t)$. Using numerical techniques such as Euler’s method, one can determine the energy generated. Here we describe how we introduce the topic of solar power, apply Euler’s method to determine the energy generated, and …
Desarrollo Del Pensamiento Computacional A Través De Blockscad, Blockly Y La Resolución De Problemas En Matemáticas, Ángel-Alberto Magreñán-Ruiz, Rubén-Arístides González-Crespo, Cristina Jiménez-Hernández, Lara Orcos-Palma
Desarrollo Del Pensamiento Computacional A Través De Blockscad, Blockly Y La Resolución De Problemas En Matemáticas, Ángel-Alberto Magreñán-Ruiz, Rubén-Arístides González-Crespo, Cristina Jiménez-Hernández, Lara Orcos-Palma
Revista Española de Pedagogía
El desarrollo del pensamiento computacional se ha convertido en una de las prioridades educativas en varios países del mundo. En este artículo, se describen dos experiencias en el aula en las que se utilizan dos herramientas de programación por bloques. En la primera, solo se empleó BlocksCAD. En la segunda, se trabajó, además, con Blockly y con varios algoritmos matemáticos. El número de participantes en la experiencia fue de veintiocho en el grupo que solo utilizó Blockly y de trece en el que combinó el uso de ambas herramientas. Todos ellos cursaban tercero de educación secundaria (entre 14 y 15 …
Faith And Stem Education: A Path To Mutual Elevation In Catholic Schools, Michael Szopiak, Matthew Kloser
Faith And Stem Education: A Path To Mutual Elevation In Catholic Schools, Michael Szopiak, Matthew Kloser
Journal of Catholic Education
Amidst increasing religious disaffiliation, often due to a perceived tension between faith and the STEM disciplines, Catholic schools provide critical opportunities for young people to recognize how these domains can be mutually elevating. The field, however, lacks guidance as to how this integration should occur in practice. This conceptual paper first provides an overarching framework for how aspects of the Catholic tradition, like Scripture and the Catholic social tradition, can shape traditional educational domains of STEM teaching and learning. Secondly, we provide a heuristic of three criteria for deeply engaging students at the interface of the Catholic faith and the …
Threshold Concepts In Quantitative Reasoning, Judith Canner, Jennifer E. Clinkenbeard
Threshold Concepts In Quantitative Reasoning, Judith Canner, Jennifer E. Clinkenbeard
Numeracy
The idea of “threshold concepts” has been used to identify discipline-based concepts that are critical to that academic area. Threshold concepts are often difficult for students to assimilate in a meaningful way but, once done, can be powerful for the learner. In general, threshold concepts are 1) transformative to learner thinking; 2) bounded by the discipline; 3) integrative with other concepts; and 4) irreversible once understood (Meyer and Land 2003). This paper presents five threshold concepts in quantitative reasoning (QR) developed by transdisciplinary faculty workgroups that may be applicable for non-mathematics disciplines as well. They are as follows: 1) QR …
Developing Proportional Reasoning Via Lego Robotics: Experiences Of A 7th Grade Mathematics Class, Shelli L. Casler-Failing, Leah C. Swann
Developing Proportional Reasoning Via Lego Robotics: Experiences Of A 7th Grade Mathematics Class, Shelli L. Casler-Failing, Leah C. Swann
Middle Grades Review
A qualitatively oriented mixed methods case study was conducted to investigate the effects of incorporating LEGO robotics into a seventh-grade mathematics curriculum. Using the lenses of Social Constructivist Theory and the Five Stages of Technology Integration, this research focused on the development of proportional reasoning skills. The data show students experienced success in developing their proportional reasoning skills as they completed tasks using the robotics. The quantitative data shows evidence of growth in understanding and development of proportional reasoning. The qualitative analysis provides evidence that students developed their understanding through collaborative discussions as they worked through the different technology stages. …
Analyzing A Smartphone Battle Using Bass Competition Model, Maila Hallare, Alireza Hosseinkhan, Hasala Senpathy K. Gallolu Kankanamalage
Analyzing A Smartphone Battle Using Bass Competition Model, Maila Hallare, Alireza Hosseinkhan, Hasala Senpathy K. Gallolu Kankanamalage
CODEE Journal
Many examples of 2x2 nonlinear systems in a first-course in ODE or a mathematical modeling class come from physics or biology. We present an example that comes from the business or management sciences, namely, the Bass diffusion model. We believe that students will appreciate this model because it does not require a lot of background material and it is used to analyze sales data and serve as a guide in pricing decisions for a single product. In this project, we create a 2x2 ODE system that is inspired by the Bass diffusion model; we call the resulting system the Bass …
Ethnomathematics Exploration On Purun Crafts Of Pulau Geronggang For Middle School Mathematics Learning, Adi Saputro, Somakim Somakim, Darmawijoyo Darmawijoyo
Ethnomathematics Exploration On Purun Crafts Of Pulau Geronggang For Middle School Mathematics Learning, Adi Saputro, Somakim Somakim, Darmawijoyo Darmawijoyo
Jurnal Riset Pendidikan Matematika
Mathematical concepts occationally arise naturally through the culture of certain communities, through the knowledge and views of tribes or community groups or certain individuals without going through a formal education. Mathematics with cultural nuances (ethnomathematics) would make a very significant contribution to learning mathematics. The aims of this research are 1) To find out what the mathematical concepts are in the Purun handicrafts of Geronggang Island, 2) To find out what the philosophical values are in the Purun handicrafts of Geronggang Island. 3) To find out how the implementation of junior high school mathematics learning with the ethnomathematical context in …
Didactical Design Of Algebraic Expression From A Linear Pattern With A Realistic Mathematics Education Approach, Nur Fitriani, Sugiman Sugiman, Arfah Arfah
Didactical Design Of Algebraic Expression From A Linear Pattern With A Realistic Mathematics Education Approach, Nur Fitriani, Sugiman Sugiman, Arfah Arfah
Jurnal Riset Pendidikan Matematika
The design of didactic mathematics learning is designed by taking into account the learning barriers of students. This study aims to obtain a didactic design for learning algebraic expression from a linear pattern to reduce student learning barriers through the application of Realistic Mathematics Education (RME). The type of this research is design research with three stages, namely the plan, do, and see. The research data was in the form of qualitative data with the research instruments used were Hypotetical Learning Trajectory (HLT) on algebraic forms of linear patterns, LKPD, pretest and posttest, observation sheets, teacher interview sheets, and student …
Teaching Materials For Algebra And Linear Programs Based On Pancasila Student Profiles, Nila Kesumawati, Nyiayu Fahriza Fuadiah, Lusiana Lusiana, Dina Octaria
Teaching Materials For Algebra And Linear Programs Based On Pancasila Student Profiles, Nila Kesumawati, Nyiayu Fahriza Fuadiah, Lusiana Lusiana, Dina Octaria
Jurnal Riset Pendidikan Matematika
The aims of this study were: 1) to develop textbooks based on Pancasila student profiles for Algebra and Linear Programming courses; and 2) developing instruments to measure the achievement of the dimensions of the Pancasila student profile. The quality of the products developed is assessed based on: 1) validity aspects, 2) practical aspects, and 3) effectiveness aspects of students' mathematical creative and critical thinking abilities. The research method used is the ADDIE Research and Development (R & D) model. The research subjects were 19 students in the first semester of the Mathematics Education Study Program. The instruments used to obtain …
Students' Difficulties: Mathematical Creative Thinking Skill Questions Based On Habits Of Mind., Rira Jun Fineldi, Kana Hidayati
Students' Difficulties: Mathematical Creative Thinking Skill Questions Based On Habits Of Mind., Rira Jun Fineldi, Kana Hidayati
Jurnal Riset Pendidikan Matematika
This study aims to describe: 1) the types of difficulties experienced by students in solving math problems based on mathematical creative thinking ability and students' habits of mind in solving math problems based on mathematical creative thinking ability. This research includes survey research with quantitative and qualitative approaches. The research subjects were 519 students of state junior high schools and state Islamic junior high schools in Kampar Regency who came from ten schools with high, medium, and low categories of accreditation. The sample in this study was determined by the stratified proportional random sampling technique. The instrument used was a …
Project-Based Learning In Mathematics Education: A Bibliometric Study On 2014-2023 Scopus Database, Mathilda Susanti, Heri Retnawati, Eny Sulistyaningsih, Kartianom Kartianom, Munaya Nikma Rosyada, Gulzhaina K. Kassymova, Rimajon Sotlikova
Project-Based Learning In Mathematics Education: A Bibliometric Study On 2014-2023 Scopus Database, Mathilda Susanti, Heri Retnawati, Eny Sulistyaningsih, Kartianom Kartianom, Munaya Nikma Rosyada, Gulzhaina K. Kassymova, Rimajon Sotlikova
Jurnal Riset Pendidikan Matematika
Project-based learning (PjBL) is ommited by the curricula of various countries. For the future development, the extent of research related to project-based learning needs to be mapped. This research aims to conduct a bibliometric analysis of research published in Scopus-indexed journals worldwide over the last ten years. This research is a literature review with a mapping type. 802 articles were collected from the Scopus database in 2014-2023. The R package and VOSViewer tools are used to perform bibliometric analysis. The results are then analyzed, which includes the distribution per year, subject area, affiliation, country or region, citations, main information, treemap, …
Kemampuan Numerasi Dan Growth Mindset Siswa Smp Dan Madrasah Tsanawiyah Di Kabupaten Purworejo, Ariyadi Wijaya
Kemampuan Numerasi Dan Growth Mindset Siswa Smp Dan Madrasah Tsanawiyah Di Kabupaten Purworejo, Ariyadi Wijaya
Jurnal Riset Pendidikan Matematika
Penelitian ini merupakan penelitian survei yang bertujuan untuk mendeskripsikan kemampuan numerasi dan tingkat growth mindset siswa SMP dan Madrasah Tsanawiyah di Kabupaten Purworejo. Penelitian dilakukan pada enam sekolah dengan total sampel sebanyak 171 siswa kelas VIII dari tiga SMP dan tiga Madrasah Tsanawiyah di Kabupaten Purworejo. Data dianalisis menggunakan estimasi parameter untuk melihat kemampuan numerasi dan tingkat growth mindset populasi serta uji korelasi untuk melihat hubungan kemampuan numerasi dan tingkat growth mindset siswa. Hasil penelitian menunjukan bahwa secara umum rata-rata skor kemampuan numerasi siswa berada dalam kategori perlu intervensi khusus dan tingkat growth mindset siswa berada dalam kategori sedang. Berdasarkan …
The Effect Of The Missouri Mathematics Project Learning Model Assisted By Geogebra On Student's Mathematical Communication Ability, Ilham Kurniawan, Syafika Ulfah
The Effect Of The Missouri Mathematics Project Learning Model Assisted By Geogebra On Student's Mathematical Communication Ability, Ilham Kurniawan, Syafika Ulfah
Jurnal Riset Pendidikan Matematika
The purpose of this research was to determine the effect of Missouri Mathematics Project (MMP) learning model assisted by GeoGebra on student's abilities in mathematical communication. This research categorized as quantitative of experimental type with Quasy Experimental Design research design. This research population is all grade X MIPA students of SMAN 11 South Tangerang. The purposive sampling technique was used. Among the population, a sample of 38 students was selected for a class of experiments and 34 students for a class of controls. The method of data collection applied was a descriptive test. This research used a mathematical communication ability …
Students' Mathematical Critical Thinking Through Conceptual Change Approach, Fitria Maghfiroh, Dadan Dasari
Students' Mathematical Critical Thinking Through Conceptual Change Approach, Fitria Maghfiroh, Dadan Dasari
Jurnal Riset Pendidikan Matematika
Critical thinking ability is one of the higher order thinking skills. Students who have high critical thinking skills are expected to have the ability to analyze problems properly and precisely. The purpose of this study was to find out the differences in students' mathematical critical thinking skills who received learning using the conceptual change approach and those who received conventional learning, namely the scientific approach. This research was conducted at a junior high school in Tangerang Selatan City, Banten province. The research method used is a quasi-experimental research design with a posttest only control design. The research sample consisted of …
Technological Pedagogical Content Knowledge (Tpack) Profile Of Mathematics Prospective Teachers In The Micro Teaching Course From The Perspective Of Teaching Style, Nenden Suciyati Sartika
Technological Pedagogical Content Knowledge (Tpack) Profile Of Mathematics Prospective Teachers In The Micro Teaching Course From The Perspective Of Teaching Style, Nenden Suciyati Sartika
Jurnal Riset Pendidikan Matematika
The objective of this research is to ascertain the Technological Pedagogical Content Knowledge (TPACK) profile of prospective mathematics teachers in the microteaching course, as well as to explore the interrelation between teaching styles and TPACK. The research methodology employed in this study adopts a quantitative approach, specifically utilizing a survey research design. The target population for this investigation comprises prospective mathematics teacher students enrolled at Mathla'ul Anwar University in Banten, Indonesia. The sample for this study comprises students in their sixth semester of the Mathematics Education program who are currently enrolled in the microteaching course. The inclusion criteria for the …
A Comparative Analysis Of Mathematical Problem Solving Proficiency Among Students With Musical Intelligence And Students With Kinesthetic Intelligence At Man 2 Palu City, Dasa Ismaimuza Ismaimuza
A Comparative Analysis Of Mathematical Problem Solving Proficiency Among Students With Musical Intelligence And Students With Kinesthetic Intelligence At Man 2 Palu City, Dasa Ismaimuza Ismaimuza
Jurnal Riset Pendidikan Matematika
The purpose of this study was to obtain a description of the results of the analysis of mathematical problem solving for students with musical intelligence and students with kinesthetic intelligence at MAN 2 Palu City. This type of research is qualitative research. The research subjects were one student with musical intelligence and one student with kinesthetic intelligence. The results of this study indicate: Students with musical intelligence have low problem-solving abilities. It can be seen from the students' ability to solve the given mathematical problems, that is, students are less thorough in obtaining information about what is known and asked, …