A Team Approach to Undergraduate Research in Biomathematics: Balance Control

Milton, John; Radunskaya, Ami; Ou, Weihua; Ohira, Toru

doi:10.1051/mmnp/20116614

Cited by 3 publications

(2 citation statements)

References 52 publications

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“…Grossman et al (2011) described the equations used by a group of students and their instructor to implement in Excel a simple model of carbon flux during plant growth. In organismal biology, Milton et al (2011) have created a mathematical laboratory working on the time of balance and movement using new technologies. Koch-Noble (2011) helped his students explore questions related to pharmacokinetics.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Biology in High School Mathematics Education

Beqqali,

Hattaf,

Achtaich

2023

JESR

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Mathematical biology has made great progress in recent years, particularly in epidemiology during or even before the COVID-19 pandemic. Mathematical modeling has played a key role in this progress. In this paper, we examine whether the teaching and learning of mathematics in Moroccan high school takes into consideration specialty disciplines such as biology. To do this, we are looking for the applications of biology in the Moroccan mathematical programs in the second year of the baccalaureate option life and earth sciences. First, we analyze the pedagogical guidelines concerning mathematical applications in specialty disciplines. In addition, we analyze the textbooks concerning the second year of baccalaureate option life and earth sciences. The results show that mathematical applications in experimental sciences, especially in biology, for the mathematics program of the second year of the baccalaureate are still very limited in the Moroccan curriculum, whether in learning activities or exercises. Received: 21 September 2023 / Accepted: 20 October 2023 / Published: 5 November 2023

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Section: Introductionmentioning

confidence: 99%

Mathematical Biology in High School Mathematics Education

Beqqali,

Hattaf,

Achtaich

2023

JESR

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“…It is more important to me to have the lab be meaningful to my students; if they get to model a drug of choice, they own that model." Similarly, Milton, Radunskaya, Ou, and Ohira (2011) [58] help interdisciplinary student research teams explore questions about themselves related to maintaining balance by using data collected in the lab on human motion and modeling inverted pendulums with time-delay models, introducing noise, and using dimension reduction. They motivate their students with a societal challenge: "the impending epidemic of falling in aging Western societies.…”

Section: Mathematical Challenges In Biology Educationmentioning

confidence: 99%

Mathematical Biology Education: Modeling Makes Meaning

Jungck

2011

Math. Model. Nat. Phenom.

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Abstract. This special issue of Mathematical Modelling of Natural Phenomena on biomathematics education shares the work of fifteen groups at as many different institutions that have developed beautiful biological applications of mathematics that are different in three ways from much of what is currently available. First, many of these selections utilize current research in biomathematics rather than the well-known textbook examples that are at least a half-century old. Second, the selections focus on modules that are intended for instant classroom adoption, adaptation, and implementation. Instead of focusing on how to overcome the challenges of implementing mathematics into biology or biology into mathematics or on educational research on the effectiveness of some small implementation, the authors develop individual biological models sufficiently well such that they can be easily adopted and adapted for use in both mathematics and biology classrooms. A third difference in this collection is the substantive inclusion of discrete mathematics and innovative pedagogies. Because calculus-based models have received the majority of the biomathematics modeling attention until very recently, the focus on discrete models may seem surprising. The examples range from DNA nanostructures through viral capsids to neuronal processes and ecosystem problems. Furthermore, a taxonomy of quantitative reasoning and the role of modeling per se as a different practice are contextualized in contemporary biomathematics education.Key words: biomathematics education, discrete mathematics, modeling AMS codes: 92-01 NarrativeMathematics plays an enormous role in the life sciences (Cohen, 2004) [1]. However, the amount and kind of mathematics used in most general biology education is woefully inadequate at most . While we were able to share many curricular successes, this issue did not afford us many opportunities to detail specific rich applications to biologists and mathematicians in a way that allowed easy adoption and adaptation into readers' classrooms. Thus, I welcomed the invitation from Editor Vitaly Volpert of Mathematical Modelling of Natural Phenomena to edit this special issue devoted to mathematical biology education. In particular, the congruence of interests of readers of this journal and the biomathematics education community are enormous. Besides such interesting biologically-oriented issues of MMNP on cancer, morphogenesis and development, plant structure, epidemiology, etc., MMNP's explicit focus on modeling per se lets us celebrate the tremendous importance of learning to model in the context of biomathematics education. Several articles herein, particularly by Weisstein, [5], Gaff et al. [6], Neuhauser and Stanley [7], and Koch [8], provide accessible approaches to introducing modeling to biology students with little or no prior experience in modeling.The considerable progress that has been made in addressing the challenges laid down in Bio 2010 [4] includes the mutual effort of biologists, mathematicians, and mathematic...

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Milton¹,

Ohira²

2014

Mathematics as a Laboratory Tool

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A Team Approach to Undergraduate Research in Biomathematics: Balance Control

Cited by 3 publications

References 52 publications

Mathematical Biology in High School Mathematics Education

Mathematical Biology in High School Mathematics Education

Mathematical Biology Education: Modeling Makes Meaning

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