Department of Mathematics
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Last Updated: 2022-07-14
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1. 3 reasons we use graphic novels to teach math and physics
- Title Tesim:
- 3 reasons we use graphic novels to teach math and physics
- Créateur:
- Klanderman, Sarah and Ho, Josha
- Related Url Tesim:
- Available from the publisher: https://theconversation.com/3-reasons-we-use-graphic-novels-to-teach-math-and-physics-211171
- La description:
- Post-pandemic, some educators are trying to reengage students with technology – like videos, computer gaming or artificial intelligence, just to name a few. But integrating these approaches in the classroom can be an uphill battle. Teachers using these tools often struggle to retain students’ attention, competing with the latest social media phenomenon, and can feel limited by using short video clips to get concepts across. Graphic novels – offering visual information married with text – provide a means to engage students without losing all of the rigor of textbooks. As two educators in math and physics, we have found graphic novels to be effective at teaching students of all ability levels. We’ve used graphic novels in our own classes, and we’ve also inspired and encouraged other teachers to use them. And we’re not alone: Other teachers are rejuvenating this analog medium with a high level of success.
- Declaração de direitos:
- http://rightsstatements.org/vocab/InC/1.0/
- licença:
- https://creativecommons.org/licenses/by/4.0/
- La langue:
- English
- Éditeur:
- The Conversation US, Inc.
- Type:
- Article
- Mot-clé:
- Mathematics, Physics, STEM Education, Teaching Math, Math anxiety, and Graphic Novels
- date créée:
- 2023
2. A chromosome-scale genome sequence of sudangrass (Sorghum sudanense) highlights the genome evolution and regulation of dhurrin biosynthesis
- Title Tesim:
- A chromosome-scale genome sequence of sudangrass (Sorghum sudanense) highlights the genome evolution and regulation of dhurrin biosynthesis
- Créateur:
- Bible, Paul, W., Wang, L., Jin, P., Zheng, J., Wang, Y., Zhan, Q., Li, J., Liu, Y., and Tu, W.
- Related Url Tesim:
- Available from publisher at: https://www.researchsquare.com/article/rs-1777118/v1
- La description:
- Sudangrass [ Sorghum sudanense (Piper) Stapf] is a hybrid between grain sorghum and its wild relative S. bicolor ssp. verticilliflorum and is grown as a forage crop due to its high biomass production and low dhurrin content compared to sorghum. In this study, we sequenced the sudangrass genome and showed that the assembled genome was 715.95 Mb with 35,243 protein-coding genes. Phylogenetic analysis with whole genome proteomes demonstrated that the sudangrass genome was more similar to US commercial sorghums than to its wild relatives and cultivated sorghums from Africa. We confirmed that at seedling stage, sudangrass accessions contained significantly lower dhurrin as measured by hydrocyanic acid potential (HCN-p) than cultivated sorghum accessions. Genome-wide association study identified a QTL most tightly associated with HCN-p and the linked SNPs were located in the 3’ UTR of Sobic.001G012300 which encodes CYP79A1, the enzyme that catalyzes the first step of dhurrin biosynthesis. As in other grasses such as maize and rice, we also found that copia/gypsy long terminal repeat retrotransposons were more abundant in cultivated than in wild sorghums, implying that crop domestication in the grasses was accompanied by increased copia/gypsy LTR retrotransposon insertions in the genomes. This article is a preprint undergoing the peer-review process.
- Declaração de direitos:
- http://rightsstatements.org/vocab/InC/1.0/
- licença:
- https://creativecommons.org/licenses/by/4.0/
- La langue:
- English
- Éditeur:
- Research Square
- Identificateur:
- https://doi.org/10.21203/rs.3.rs-1777118/v1
- Type:
- Article
- Mot-clé:
- Genome evolution, Dhurrin biosynthesis, Sorghum sudanese, Genome, and GWAS
- date créée:
- 2022
3. Early detection of SARS-CoV-2 variants through dynamic co-mutation network surveillance
- Title Tesim:
- Early detection of SARS-CoV-2 variants through dynamic co-mutation network surveillance
- Créateur:
- Huang, Q., Qiu, H., Bible, Paul W., Huang, Y., Zheng, F., Gu, J., Sun, J., Hao, Y., and Liu, Y.
- Related Url Tesim:
- Available from PubMed Central: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9901361/?utm_source=delivra&utm_medium=email&utm_campaign=In%20a%20Glance%202.16.23&utm_id=4878202 and Available from the library catalog: https://marianunivindianapolis.on.worldcat.org/oclc/9762477578
- La description:
- Background Precise public health and clinical interventions for the COVID-19 pandemic has spurred a global rush on SARS-CoV-2 variant tracking, but current approaches to variant tracking are challenged by the flood of viral genome sequences leading to a loss of timeliness, accuracy, and reliability. Here, we devised a new co-mutation network framework, aiming to tackle these difficulties in variant surveillance. Methods To avoid simultaneous input and modeling of the whole large-scale data, we dynamically investigate the nucleotide covarying pattern of weekly sequences. The community detection algorithm is applied to a co-occurring genomic alteration network constructed from mutation corpora of weekly collected data. Co-mutation communities are identified, extracted, and characterized as variant markers. They contribute to the creation and weekly updates of a community-based variant dictionary tree representing SARS-CoV-2 evolution, where highly similar ones between weeks have been merged to represent the same variants. Emerging communities imply the presence of novel viral variants or new branches of existing variants. This process was benchmarked with worldwide GISAID data and validated using national level data from six COVID-19 hotspot countries. Results A total of 235 co-mutation communities were identified after a 120 weeks' investigation of worldwide sequence data, from March 2020 to mid-June 2022. The dictionary tree progressively developed from these communities perfectly recorded the time course of SARS-CoV-2 branching, coinciding with GISAID clades. The time-varying prevalence of these communities in the viral population showed a good match with the emergence and circulation of the variants they represented. All these benchmark results not only exhibited the methodology features but also demonstrated high efficiency in detection of the pandemic variants. When it was applied to regional variant surveillance, our method displayed significantly earlier identification of feature communities of major WHO-named SARS-CoV-2 variants in contrast with Pangolin's monitoring. Conclusion An efficient genomic surveillance framework built from weekly co-mutation networks and a dynamic community-based variant dictionary tree enables early detection and continuous investigation of SARS-CoV-2 variants overcoming genomic data flood, aiding in the response to the COVID-19 pandemic.
- Declaração de direitos:
- http://rightsstatements.org/vocab/InC/1.0/
- licença:
- https://creativecommons.org/licenses/by/4.0/
- La langue:
- English
- Éditeur:
- Frontiers Media SA
- Identificateur:
- PMID: 36755900, PMCID: PMC9901361, and DOI: 10.3389/fpubh.2023.1015969
- Type:
- Article
- Mot-clé:
- SARS-CoV-2, co-mutation, surveillance, network, and community detection
- date créée:
- 2023
4. Loday constructions on twisted products and on tori
- Title Tesim:
- Loday constructions on twisted products and on tori
- Créateur:
- Zou, Foling, Hedenlund, A., Klanderman, Sarah, Richter, B., and Lindenstrauss, A
- Related Url Tesim:
- Available from the publisher: https://www.sciencedirect.com/science/article/abs/pii/S0166864122001055, Available from the library catalog: https://marianunivindianapolis.on.worldcat.org/oclc/9472680232, Preprint from arxiv.org: https://arxiv.org/abs/2002.00715v1, and https://doi.org/10.1016/j.topol.2022.108103
- La description:
- Part of special issue: Women in Topology III. Abstract: We develop a spectral sequence for the homotopy groups of Loday constructions with respect to twisted cartesian products in the case where the group involved is discrete. We show that for commutative Hopf algebra spectra Loday constructions are stable, generalizing a result by Berest, Ramadoss and Yeung, but prove that several Loday constructions of truncated polynomial rings with reduced coefficients are not stable by investigating their torus homology.
- Declaração de direitos:
- http://rightsstatements.org/vocab/InC/1.0/
- La langue:
- English
- Éditeur:
- Elsevier
- Identificateur:
- https://doi.org/10.1016/j.topol.2022.108103
- Type:
- Article
- Mot-clé:
- topological Hochschild homology, Hochschild homology, Twisted cartesian products, Torus homology, and Stability
- date créée:
- 2022
5. Mathematical understanding and ownership in learning: affordances of and student views on templates for proof-writing
- Title Tesim:
- Mathematical understanding and ownership in learning: affordances of and student views on templates for proof-writing
- Créateur:
- Klanderman, Sarah
- Related Url Tesim:
- Indexed in the library catalog: https://marianunivindianapolis.on.worldcat.org/oclc/9688483159, Available from the publisher: https://www.tandfonline.com/doi/abs/10.1080/0020739X.2022.2139775, and https://doi.org/10.1080/0020739X.2022.2139775
- La description:
- For students taking higher level mathematics courses, the transition from computational to proof-based courses such as analysis and algebra not only introduces a new format of writing and communication, but also a new level of abstraction. This study examines the affordances of one particular tool to aid students in this transition: a proof template. We highlight four cases based on interviews conducted at two universities, both from transition-to-proof classes in which templates were explicitly used and not. Results indicate that when introduced to this tool, students viewed these templates favourably. Two detailed cases provide evidence that templates can contribute to deep understanding and student ownership of learning by deconstructing the template structures for themselves. In settings where explicit templates were not introduced, two cases address possible concerns with templates as well as demonstrate that students may be intuiting this structure. Our work provides evidence for the benefits of templates as a learning aid to struggling and strong students alike that does not reduce creativity in proving, along with students’ appreciation of templates for structure and as guidelines to make sense of the increased abstraction required for proof-writing.
- Declaração de direitos:
- http://rightsstatements.org/vocab/InC/1.0/
- La langue:
- English
- Éditeur:
- Taylor & Francis
- Identificateur:
- DOI: https://doi.org/10.1080/0020739X.2022.2139775
- Type:
- Article
- Mot-clé:
- proof scaffolding, undergraduate mathematics education, templates, proof writing, creativity, and Transition-to-proof
- date créée:
- 2022
6. A New Way to Trace SARS-CoV-2 Variants Through Weighted Network Analysis of Frequency Trajectories of Mutations
- Title Tesim:
- A New Way to Trace SARS-CoV-2 Variants Through Weighted Network Analysis of Frequency Trajectories of Mutations
- Créateur:
- Wang, Y., Zhang, Q., Liu, Y., Liang, Q., Zheng, F., Hao, Y., Bible, Paul, W., and Huang, Q.
- Related Url Tesim:
- Available from publisher: https://www.frontiersin.org/articles/10.3389/fmicb.2022.859241/full and Available from library catalog: https://marianunivindianapolis.on.worldcat.org/oclc/9465987921
- La description:
- Early detection of SARS-CoV-2 variants enables timely tracking of clinically important strains in order to inform the public health response. Current subtype-based variant surveillance depending on prior subtype assignment according to lag features and their continuous risk assessment may delay this process. We proposed a weighted network framework to model the frequency trajectories of mutations (FTMs) for SARS-CoV-2 variant tracing, without requiring prior subtype assignment. This framework modularizes the FTMs and conglomerates synchronous FTMs together to represent the variants. It also generates module clusters to unveil the epidemic stages and their contemporaneous variants. Eventually, the module-based variants are assessed by phylogenetic tree through sub-sampling to facilitate communication and control of the epidemic. This process was benchmarked using worldwide GISAID data, which not only demonstrated all the methodology features but also showed the module-based variant identification had highly specific and sensitive mapping with the global phylogenetic tree. When applying this process to regional data like India and South Africa for SARS-CoV-2 variant surveillance, the approach clearly elucidated the national dispersal history of the viral variants and their co-circulation pattern, and provided much earlier warning of Beta (B.1.351), Delta (B.1.617.2), and Omicron (B.1.1.529). In summary, our work showed that the weighted network modeling of FTMs enables us to rapidly and easily track down SARS-CoV-2 variants overcoming prior viral subtyping with lag features, accelerating the understanding and surveillance of COVID-19.
- Declaração de direitos:
- http://rightsstatements.org/vocab/InC/1.0/
- licença:
- https://creativecommons.org/licenses/by/4.0/
- La langue:
- English
- Éditeur:
- Frontiers Media
- Identificateur:
- DOI: https://doi.org/10.3389/fmicb.2022.859241
- Type:
- Article
- Mot-clé:
- Genomic variations, frequency trajectories of mutations (FTMs) , Transmission, Pathogenesis, and Emerging SARS-COV-2 Variants
- date créée:
- 2022
7. An Open Guide to Data Structures and Algorithms
- Title Tesim:
- An Open Guide to Data Structures and Algorithms
- Créateur:
- Bible, Paul W. and Moser, Lucas
- Donateur:
- Boudreaux, Aaron (Reviewer) , Kiers, Joshua (Reviewer), Scarlato, Mia M. (Illustrator), and Mandity, Edward (Project Manager)
- Related Url Tesim:
- Available from the publisher: https://pressbooks.palni.org/anopenguidetodatastructuresandalgorithms/
- La description:
- This textbook serves as a gentle introduction for undergraduates to theoretical concepts in data structures and algorithms in computer science while providing coverage of practical implementation (coding) issues. The field of computer science (CS) supports a multitude of essential technologies in science, engineering, and communication as a social medium. The varied and interconnected nature of computer technology permeates countless career paths making CS a popular and growing major program. Mastery of the science behind computer science relies on an understanding of the theory of algorithms and data structures. These concepts underlie the fundamental tradeoffs that dictate performance in terms of speed, memory usage, and programming complexity that separate novice programmers from professional practitioners.
- Assujettir:
- Algorithms and data structures
- Declaração de direitos:
- http://rightsstatements.org/vocab/InC/1.0/
- licença:
- https://creativecommons.org/licenses/by/4.0/
- La langue:
- English
- Éditeur:
- PALNI Press
- Identificateur:
- DOI: https://doi.org/10.59319/PQSW1530, 978-1-956390-23-0 , and 978-1-956390-24-7
- Type:
- Book
- Mot-clé:
- data structures, algorithms , and practical implementation (coding)
- date créée:
- 2023
8. Trace methods for coHochschild homology
- Title Tesim:
- Trace methods for coHochschild homology
- Créateur:
- Klanderman, Sarah and Peroux, M.
- Related Url Tesim:
- Available from the publisher: https://arxiv.org/abs/2301.11346v1
- La description:
- We provide traces for coHochschild homology, dualizing the Hattori-Stallings trace. Considering the trace of the identity, we define traces between coHochschild homology and certain K-theories of coalgebras. We employ bicategorical methods of Ponto to show that coHochschild homology is a shadow. Consequently, we obtain that coHochschild homology is Morita-Takeuchi invariant.
- Declaração de direitos:
- http://rightsstatements.org/vocab/InC/1.0/
- licença:
- https://creativecommons.org/licenses/by/4.0/
- La langue:
- English
- Éditeur:
- arXiv.org and Cornell University
- Identificateur:
- DOI: https://doi.org/10.48550/arXiv.2301.11346 and arXiv:2301.11346v1
- Type:
- Article
- Mot-clé:
- coalgebra, comodule, coHochschild homology, trace, bicategory, K-theory, and Morita-Takeuchi equivalence
- date créée:
- 2023
9. Using graphic novels in the science, technology, engineering, and mathematics (STEM) classroom
- Title Tesim:
- Using graphic novels in the science, technology, engineering, and mathematics (STEM) classroom
- Créateur:
- Boerman-Cornell, W., Ho, J., Klanderman, D., and Klanderman, Sarah
- Related Url Tesim:
- Available from the publisher: https://www.bloomsbury.com/us/using-graphic-novels-in-the-stem-classroom-9781350279186/ and Available from the library catalog: https://marianunivindianapolis.on.worldcat.org/oclc/1400083887
- La description:
- This book provides everything STEM teachers need to use graphic novels in order to engage students, explain difficult concepts, and enrich learning. Drawing upon the latest educational research and over 60 years of combined teaching experience, the authors describe the multimodal affordances and constraints of each element of the STEM curriculum. Useful for new and seasoned teachers alike, the chapters provide practical guidance for teaching with graphic novels, with a section each for Science, Technology, Engineering, and Mathematics. An appendix provides nearly 100 short reviews of graphic novels arranged by topic, such as cryptography, evolution, computer coding, skyscraper design, nuclear physics, auto repair, meteorology, and human physiology, allowing the teacher to find multiple graphic novels to enhance almost any unit. These include graphic novel biographies of Stephen Hawking, Jane Goodall, Alan Turing, Rosalind Franklin, as well as popular titles such as T-Minus by Jim Ottaviani, Brooke Gladstone's The Influencing Machine, Theodoris Andropoulos's Who Killed Professor X, and Gene Yang's Secret Coders series.
- Declaração de direitos:
- http://rightsstatements.org/vocab/InC/1.0/
- La langue:
- English
- Éditeur:
- Bloomsbury
- Identificateur:
- 9781350279186
- Type:
- Book
- Mot-clé:
- graphic novels, STEM education, and multimodal teaching
- date créée:
- 2023