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Science and Mathematics Education

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Articles 1081 - 1110 of 3129

Full-Text Articles in Teacher Education and Professional Development

The Power Of A Self-Paced, Challenging, Process-Based, Online Mathematics Curriculum For Talented Middle School Students, Shari Stupp, Keith Nabb, Danielle Goodwin Jun 2019

The Power Of A Self-Paced, Challenging, Process-Based, Online Mathematics Curriculum For Talented Middle School Students, Shari Stupp, Keith Nabb, Danielle Goodwin

Transformations

Talented middle school students in most public schools and traditional private schools do not have access to a curriculum that allows them to go at their own pace, adequately challenges them, or presents mathematics in a process-based way so that students can become familiar with behaviors of mathematicians (Gentry, Gable, & Springer, 2000; Rogers, 2007). Many gifted students are subjected to materials written at levels that are inappropriate for them and teachers that are not adequately prepared to teach them (Rogers, 2007).

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The Power Of A Self-Paced, Challenging, Process-Based, Online Mathematics Curriculum For Talented Middle School Students, Shari Stupp, Keith Nabb, Danielle Goodwin Jun 2019

The Power Of A Self-Paced, Challenging, Process-Based, Online Mathematics Curriculum For Talented Middle School Students, Shari Stupp, Keith Nabb, Danielle Goodwin

FDLA Journal

In the 1960s a talented team of curriculum developers began to create the curriculum that is today known as Elements of Mathematics: Foundations(EMF) (IMACS, 2006). The founders of EMFbegan with the process-based view that doing mathematics involved reasoning, making connections, problem-solving, representation, and communication – the behaviors of a mathematician – and developed a curriculum that was consistent with what NCTM (2000) would later call the “Process Standards for Mathematics” and what the Common Core State Standards (CCSSI, 2010) would later term the “Standards for Mathematical Practice.” Through the Ford Foundation, U.S. Office of Education, and …

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Fossil Mobiles: Exploring The Process Of Art As Science Inquiry For Elementary Students Through A Grounded Theory Study, Jolene K. Teske, Courtney Clausen, Harun Parpucu, Phyllis Gray, Audrey C. Rule Jun 2019

Fossil Mobiles: Exploring The Process Of Art As Science Inquiry For Elementary Students Through A Grounded Theory Study, Jolene K. Teske, Courtney Clausen, Harun Parpucu, Phyllis Gray, Audrey C. Rule

Journal of STEM Arts, Crafts, and Constructions

Arts integration into Science, Technology, Engineering, and Mathematics (STEM) subject areas is currently an important area of investigation. This study developed a grounded theory of how artmaking of a mobile related to fossil life of the Devonian period engendered geoscience inquiry. Data were collected from elementary students entering fourth to sixth grade (7 male, 9 female) attending a week-long summer camp at a Midwestern university. Students engaged in a daily hour-long class creating fossil mobiles and learning geoscience content through illustrated slide shows, form and function sets of materials related to Devonian fossils, fossil books, and a fossil hunter- fossil …

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Exploring Preservice Teachers’ Still-Life Paintings Of Crystals With Artist-Focused Compared To Science-Focused Introductions, Mahjabeen Hussain, Dessy Stoycheva, Audrey C. Rule, Denise A. Tallakson Jun 2019

Exploring Preservice Teachers’ Still-Life Paintings Of Crystals With Artist-Focused Compared To Science-Focused Introductions, Mahjabeen Hussain, Dessy Stoycheva, Audrey C. Rule, Denise A. Tallakson

Journal of STEM Arts, Crafts, and Constructions

This experimental study was undertaken with preservice teachers to test whether the use of science integration into arts education increases demonstration of science details and creative features in artwork. Two conditions were created: arts-focused and science-focused; gouache still-life paintings were produced and analyzed, and an attitude survey was completed. The results suggested that science integration into visual arts classes increased creativity for the arts-focused condition and increased science concepts in the science-focused condition. Participants in both conditions reported positive attitudes, specifically, high levels of enjoyment, alluded to lack of experience with arts and creative projects, and expressed desire for more …

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A Content Analysis Of Thirty Children’S Picture Books About Ecology, Natalia Martín Martín, Jennifer L. Hageman, Sarah E. Montgomery, Audrey C. Rule Jun 2019

A Content Analysis Of Thirty Children’S Picture Books About Ecology, Natalia Martín Martín, Jennifer L. Hageman, Sarah E. Montgomery, Audrey C. Rule

Journal of STEM Arts, Crafts, and Constructions

This study presents a content analysis of 30 ecology-themed children’s picture books published in English and Spanish from 1994 to the present. Books were analyzed for the following aspects: 1) Nature appreciation, 2) Interrelatedness of Nature, 3) Realistic ecology problem, 4) Differing perspectives, 5) Hope for a solution, 6) Reflection and responsibility, 7) Steps for a solution, 8) Positive tone, 9) Representation of diversity, 10) Appropriate illustrations, 11) Story appeal, and 12) Developmental appropriateness. Scoring guidelines are provided in an appendix. Content analysis results revealed that most books raise awareness about the impact of human action on the environment, although …

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Ocean Underwater Scene Dioramas Of First Graders With Submarine Porthole Views, Ksenia Zhbanova, Audrey C. Rule, Denise A. Tallakson Jun 2019

Ocean Underwater Scene Dioramas Of First Graders With Submarine Porthole Views, Ksenia Zhbanova, Audrey C. Rule, Denise A. Tallakson

Journal of STEM Arts, Crafts, and Constructions

Ecology education of the younger generations is vital for worldwide change of people’s attitudes toward nature warranted by the current global ecological crisis. Yet, this goal needs to be addressed through age-appropriate activities that are educational and engaging. This practical article focuses on dioramas of ocean reef life made by first graders. This arts-integrated project served two main purposes: 1) education of primary students about ocean ecology and helping students realize their roles in saving nature 2) increasing student science content knowledge. Additionally, several other benefits of making dioramas emerged during this project, including highly creative student products, genuine interest …

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Slime Bash Social: A Tactile Manipulative For Child And Youth Play, Joyce A. Levingston, Marie E. Adebiyi, Brian Hadley, Younis Al-Hassan, Dongyub Back, Michelle Cook, Christopher R. Edginton Jun 2019

Slime Bash Social: A Tactile Manipulative For Child And Youth Play, Joyce A. Levingston, Marie E. Adebiyi, Brian Hadley, Younis Al-Hassan, Dongyub Back, Michelle Cook, Christopher R. Edginton

Journal of STEM Arts, Crafts, and Constructions

The play product of slime has gained increasing popularity amongst children and youth throughout the United States. Slime can be thought of as a tactile manipulative that can be shaped, stretched, expanded, lumped together, twisted, squeezed, squashed, folded, rolled, shredded, twirled, swirled, pounded, and cut or pulled apart. As a learning tool, slime can and does support STEM initiatives and programs. Slime can be created using simple ingredients that are easily measured, combined, and prepared by children and youth. In addition, slime can incorporate components such as glitter, beads, shaving cream, color dyes and other items. This paper offers an …

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Practical Art Projects Related To Children’S Picture Books About Ecology, Jennifer L. Hageman, Natalia Martín Martín, Sarah E. Montgomery, Audrey C. Rule Jun 2019

Practical Art Projects Related To Children’S Picture Books About Ecology, Jennifer L. Hageman, Natalia Martín Martín, Sarah E. Montgomery, Audrey C. Rule

Journal of STEM Arts, Crafts, and Constructions

This study presents art projects that reinforce scientific content presented in children’s picture books about ecology. Ten K-6 students from varying socioeconomic classes, and different cultural and language backgrounds from the United States and Spain participated. Next Generation Science Standards were identified and addressed in these art projects. Students’ understanding and engagement were evaluated through teacher observations, photographs, and a student attitude survey. Upper- and lower-elementary students evidenced increased understanding of environmental issues, and high level of enjoyment and engagement through these art projects integrated with science content. Researchers encourage educators to incorporate picture books and art in science lessons …

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Editorial: Developing Creativity Through Stem Subjects Integrated With The Arts, Ksenia Zhbanova Jun 2019

Editorial: Developing Creativity Through Stem Subjects Integrated With The Arts, Ksenia Zhbanova

Journal of STEM Arts, Crafts, and Constructions

This issue of the Journal of STEM Arts, Crafts, and Constructions is focused on creativity - one of the most highly-desirable 21st Century skills on personal and global levels. Time, pedagogical knowledge, and resource constraints limit the number of opportunities for teachers to develop creativity in students. In this editorial, creativity development steps and strategies are illuminated along with specific roles of STEM subjects and the arts in development of student creativity. The processes of creativity development used in STEM and the arts are compared to each other and to the non-subject-specific creative process model of Root-Bernstein and Root- …

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Closing Banquet Eulogies, Russell Howell, C. Ray Rosentrater Jun 2019

Closing Banquet Eulogies, Russell Howell, C. Ray Rosentrater

ACMS Conference Proceedings 2019

A tribute to David Lay; A tribute to John Roe

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Winter 2019 Jun 2019

Winter 2019

Transformations

No abstract provided.

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Developing An After-School Program To Increase Stem Interest, Awareness And Knowledge Of Minority Females In A Title I Middle School, Steven R. Terrell Ph.D., Deirdre Krause Ph.D., Bruce G. Campbell Ed.D. May 2019

Developing An After-School Program To Increase Stem Interest, Awareness And Knowledge Of Minority Females In A Title I Middle School, Steven R. Terrell Ph.D., Deirdre Krause Ph.D., Bruce G. Campbell Ed.D.

FDLA Journal

Educators, politicians and industry professionals note that the number of opportunities for workers in the science, technology, engineering and math (STEM) fields grow exponentially over time. Accordingly, emphasis is placed on our schools to produce graduates capable of filling these positions. While these efforts are promising, there is a notable absence of females and minorities in the STEM professions. In an attempt to understand the reasons for this disparity, many educators believe a lack of interest in the STEM field begins at an early age, and disenfranchised students are not afforded the opportunities given to students in more affluent areas …

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The Potential Of Socio-Biologically Relevant Mobile Applications To Attract Girls To Stem, Vanaja Nethi, Santanu De May 2019

The Potential Of Socio-Biologically Relevant Mobile Applications To Attract Girls To Stem, Vanaja Nethi, Santanu De

FDLA Journal

Stimulating girls’ interest in science, technology, engineering and mathematics (STEM) when they are in school, and sustaining that interest, is critical in motivating girls to choose STEM-related disciplines in higher education and enter STEM careers. Research indicates that girls show an interest in STEM until about 11-12 years of age, but this starts to wane by the time they are 15-16 years. Thus, there is a clear need to focus on sustaining the interest of girls in STEM at middle or high school levels. Research has shown that one of the main drivers that impact girls’ interest in STEM is …

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Developing Mathematicians: The Benefits Of Weaving Spiritual And Disciplinary Discipleship, Patrick Eggleton May 2019

Developing Mathematicians: The Benefits Of Weaving Spiritual And Disciplinary Discipleship, Patrick Eggleton

ACMS Conference Proceedings 2019

Part of the goal of discipleship at the Christian university is for faith development to seep into the hearts of the students. Similarly, the goal of the development of future mathematicians is for the mathematical proficiencies, the practices like problem solving and analytical reasoning that permeate each of the courses, to seep into the hearts of our majors. This presentation shares how the weaving of our spiritual and disciplinary discipleship efforts benefits the faith development of our students while also helping them to think like a mathematician.

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From Perfect Shuffles To Landau's Function, Brian D. Beasley May 2019

From Perfect Shuffles To Landau's Function, Brian D. Beasley

ACMS Conference Proceedings 2019

If we view a given shuffle of a deck of cards as a permutation, then repeatedly applying this same shuffle will eventually return the deck to its original order. In general, how many steps will that take? What happens in the case of so-called perfect shuffles? What type of shuffle will require the greatest number of applications before restoring the original deck? This talk will address those questions and provide a brief history of the work of Edmund Landau on the maximal order of a permutation in the symmetric group on n objects. It will also note some recent progress …

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Replacing Remedial Mathematics With Corequisites In General Education Mathematics Courses, Alana Unfried May 2019

Replacing Remedial Mathematics With Corequisites In General Education Mathematics Courses, Alana Unfried

ACMS Conference Proceedings 2019

Many colleges and universities offer courses, such as Remedial Mathematics or Elementary Algebra, that underprepared students must complete before they can take a college-level mathematics course. However, nationally there is a push to replace remedial mathematics courses with corequisite courses instead. This design allows students to enter directly into their general education mathematics course instead of first overcoming the barrier of a remedial course. Corequisite mathematics courses were implemented across the 23-campus California State University system during the 2018-19 academic year. I will discuss the design and implementation of a corequisite structure at California State University, Monterey Bay, in particular …

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Charles Babbage And Mathematical Aspects Of The Miraculous, Courtney K. Taylor May 2019

Charles Babbage And Mathematical Aspects Of The Miraculous, Courtney K. Taylor

ACMS Conference Proceedings 2019

Charles Babbage is widely known as the father of the computer, but he is lesser known for his contributions to natural theology and apologetics. In 1837 Babbage wrote the Ninth Bridgewater Treatise in response to a series of writings concerning faith and science that had been commissioned by the Royal Society. Among the remarkable features of the Ninth Bridgewater are mathematical analogies concerning the miraculous. We will explore these ideas, which range from the difference engine to a family of fourth degree curves, illustrating that for Babbage, miracles are not exceptions to natural law, but rather instances of a larger …

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The Applicability Of Mathematics And The Naturalist Die, Ricardo J. Cordero-Soto May 2019

The Applicability Of Mathematics And The Naturalist Die, Ricardo J. Cordero-Soto

ACMS Conference Proceedings 2019

Philosopher and Christian apologist William Lane Craig has proposed a valid deductive argument for God’s existence that is rooted in the applicability of mathematics to the physical universe. This argument was presented by Craig during a debate with philosopher and atheist Alex Rosenberg. During the debate, Rosenberg presented a rebuttal to the soundness of this argument by appealing to chance as an explanation to the applicability of mathematics to the physical universe. In this talk, the presenter will discuss how the naturalist die is unable to produce “chance application” of mathematics while defending the soundness of the argument in light …

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Faith, Mathematics, And Science: The Priority Of Scripture In The Pursuit And Acquisition Of Truth, Bob Mallison May 2019

Faith, Mathematics, And Science: The Priority Of Scripture In The Pursuit And Acquisition Of Truth, Bob Mallison

ACMS Conference Proceedings 2019

This research will examine some approaches for identifying truth as well as some issues involved in recognizing reliable sources of information. We will proceed from a decidedly Christian perspective including the conviction that God created an orderly universe (and that studying nature provides valuable information about Him) and that His Word, the Bible, even more clearly expresses in- formation about Him. We will discuss some of the essential tools used by mathematicians and scientists for the discovery of truth – namely, models. We will examine some valuable models from history, and briefly discuss that as additional scientific information became available, …

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Teaching Mathematics At An African University -- My Experience, Kathleen Lewis May 2019

Teaching Mathematics At An African University -- My Experience, Kathleen Lewis

ACMS Conference Proceedings 2019

For eight years (2010-2018), I was the head of the math department at The University of The Gambia, a small, new (started in 1999) university in a very small, mostly Muslim, West African country that most Americans have never heard of. During that time, a number of other Americans and Europeans came to teach for shorter periods of time. I will talk about what this experience was like for us, both the good and the bad. I will describe the possibilities for others to spend either a sabbatical or an extended period of time at such a university and suggest …

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Lagrange's Interpolation, Chinese Remainder, And Linear Equations, Jesús Jiménez May 2019

Lagrange's Interpolation, Chinese Remainder, And Linear Equations, Jesús Jiménez

ACMS Conference Proceedings 2019

Consider a finite set of points {(x1, y1), (x2, y2), . . . , (xk , yk )} in R2. The Lagrange’s interpolation problem is to find a polynomial p(x) of degree k − 1 satisfying p(xi) = yi for 1 ≤ i ≤ k. We will recall the solution to Lagrange’s interpolation problems as an instance of the Chinese Remainder Theorem. Next, we will show that a similar approach can be used to construct solutions to a system of linear equations.

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Addressing Challenges In Creating Math Presentations, David Schweitzer May 2019

Addressing Challenges In Creating Math Presentations, David Schweitzer

ACMS Conference Proceedings 2019

When it comes to composing presentation slides with extensive mathematical content, each of the slide creation platforms has at least one significant drawback. Whether it is Beamer and its steep learning curve, PowerPoint and its relative inefficiency with math, Google Slides and its complete lack of math capabilities, or some other platform, no one tool single-handedly offers an ideal solution. Additionally, if users desire creative flexibility, such as the ability to easily change fonts or colors, the platforms’ respective limitations can become even more pronounced. In a project that has been well suited for undergraduate research, the presenter and his …

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Overcoming Stereotypes Through A Liberal Arts Math Course, Jessica Hamm May 2019

Overcoming Stereotypes Through A Liberal Arts Math Course, Jessica Hamm

ACMS Conference Proceedings 2019

"I'm just not a math person.” We’ve heard this comment countless times from our students. It is a mentality that both paralyzes and strangely comforts them. In this talk I will describe how I use my liberal arts Joy of Mathematics course to help students address and overcome stereotypes. In particular, I will discuss a specific assignment as well as share some student comments and perspectives on how this course helped change their viewpoint on more than just math.

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Maximum Elements Of Ordered Sets And Anselm's Ontological Argument, Doug Ward May 2019

Maximum Elements Of Ordered Sets And Anselm's Ontological Argument, Doug Ward

ACMS Conference Proceedings 2019

I will present a simple theorem concerning maximal elements of a set T endowed with an ordering “>” that is antisymmetric, i.e., if A and B are elements of T , we cannot have both A > B and B > A. A special case of this theorem is a simple version of the ontological argument, one of the classical proofs for the existence of God.

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Numerical Range Of Toeplitz Matrices Over Finite Fields, Derek Thompson, Maddison Guillaume Baker, Amish Mishra May 2019

Numerical Range Of Toeplitz Matrices Over Finite Fields, Derek Thompson, Maddison Guillaume Baker, Amish Mishra

ACMS Conference Proceedings 2019

We characterize the kth numerical range of all n×n Toeplitz matrices with a constant main diagonal and another single, non-zero diagonal, where the matrices are over the field Zp[i], with p a prime congruent to 3 mod 4. We find that, for k ∈ Z∗, the kth numerical range is always equal to Zp[i] with the exception of the scaled identity. We also use similar techniques to discover a general connection between the 0th numerical range and the kth numerical range. Lastly, we conclude with a conjecture regarding the general numerical range of all triangular Toeplitz matrices.

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Is Mathematical Truth Time Dependent? Comments From A Paper By Judith Grabiner, Richard Stout May 2019

Is Mathematical Truth Time Dependent? Comments From A Paper By Judith Grabiner, Richard Stout

ACMS Conference Proceedings 2019

Judith Grabiner, a renowned historian of mathematics, has written many papers related to signifi- cant changes in the content and nature of analysis, from the 17th through the 19th century. In her paper “Is Mathematical Truth Time Dependent?” Professor Grabiner gives several reasons for the changing nature and requirements in rigor that occurred over this period of two hundred years. In this talk I will briefly summarize her conclusions, particularly in light of how they might influence a Christian perspective on mathematics.

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Models, Values, And Disasters, Michael H. Veatch May 2019

Models, Values, And Disasters, Michael H. Veatch

ACMS Conference Proceedings 2019

Decision-support models have values embedded in them and are subjective to varying degrees. Philosophical and ethical perspectives on operations research models are used to describe this subjectivity. Approaches to model building are then suggested that take into account subjectivity and values. For the decisions to reflect the right values, the model must align with the decision-maker’s values. I argue that it is appropriate and important for Christians applying mathematical models to be keenly aware of decision-maker’s values and seek to reflect them in the model. Disaster response planning is presented as an example where incorporating values is challenging. The responding …

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Factors That Motivate Students To Learn Mathematics, Dave Klanderman, Sarah Klanderman, Benjamin Gliesmann, Josh Wilkerson, Patrick Eggleton May 2019

Factors That Motivate Students To Learn Mathematics, Dave Klanderman, Sarah Klanderman, Benjamin Gliesmann, Josh Wilkerson, Patrick Eggleton

ACMS Conference Proceedings 2019

What motivates some students to want to learn mathematics while others do not share similar motivation? Are these factors intrinsic, extrinsic, or a combination of both? To answer these questions, we adapted a survey originally developed by Tapia (1996) and later shortened by Lim and Chapman (2015). We administered the survey in multiple middle schools, a high school, and multiple colleges and universities. We obtained over 100 completed surveys for each of these educational levels. This presentation offers an analysis of these data, including descriptive statistics and confidence intervals for each educational level. For the college and university sample, we …

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Thinking Beautifully About Mathematics: A View Of Mathematics As The Science Of Measurable Orders, James M. Turner May 2019

Thinking Beautifully About Mathematics: A View Of Mathematics As The Science Of Measurable Orders, James M. Turner

ACMS Conference Proceedings 2019

At Calvin College, First Year Students are required to take a section of our Discovering the Christian Mind course during our January term. For the past 3 years, I have taught a section of this course titled Thinking Beautiful ly about Mathematics. In it, I explored, with the students, various areas of mathematics, as well as how mathematicians have explored them, while addressing such questions as “Is mathematics invented or discovered?” and “Why is mathematics unreasonably effective?” Ultimately, we look to identify ways and characterizations for how beauty displays itself in mathematics and how and it what ways beauty is …

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Marin Mersenne: Minim Monk And Messenger; Monotheism, Mathematics, And Music, Karl-Dieter Crisman May 2019

Marin Mersenne: Minim Monk And Messenger; Monotheism, Mathematics, And Music, Karl-Dieter Crisman

ACMS Conference Proceedings 2019

If you have taught a number theory course or even watched the mathematical news, you know that occasionally a new (and enormous) “Mersenne prime” is discovered. Those who have introduced students to the prehistory of calculus may know of a certain Marin Mersenne as the interlocutor who drew Fermat and Descartes (and others) out to discuss their methods of tangents (and more). But who was Mersenne, and what did he actually do? This presentation will give an overview of his times, his role in the history of science, and his own writings. We’ll especially look into why a monk from …

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