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Articles 1 - 11 of 11
Full-Text Articles in Other Mathematics
Oscillating Icebergs, John Adam
Oscillating Icebergs, John Adam
Mathematics & Statistics Faculty Publications
No abstract provided.
Exploding Haystacks: Solutions For Fermi Questions, March 2023, John Adam
Exploding Haystacks: Solutions For Fermi Questions, March 2023, John Adam
Mathematics & Statistics Faculty Publications
No abstract provided.
Not Your Typical Tower Of Sauron: Solutions For Fermi Questions, September 2023, John Adam
Not Your Typical Tower Of Sauron: Solutions For Fermi Questions, September 2023, John Adam
Mathematics & Statistics Faculty Publications
The picture is of the tapering Chester Shot Tower, located in Chester, England. It was built in 1799 for the manufacture of lead shot for use in the Napoleonic Wars. Molten lead was poured through a sieve at the top of the tower, with the tiny droplets forming perfect spheres during the fall; these were then cooled in a vat of water at the base. This process was less labor-intensive than an earlier method using molds. It is the oldest of the three remaining shot towers in the UK. Using the parked van at the base, estimate (i) the height …
Wittgenstein On Miscalculation And The Foundations Of Mathematics, Samuel J. Wheeler
Wittgenstein On Miscalculation And The Foundations Of Mathematics, Samuel J. Wheeler
Philosophy Faculty Publications
In Remarks on the Foundations of Mathematics, Wittgenstein notes that he has 'not yet made the role of miscalculating clear' and that 'the role of the proposition: "I must have miscalculated"...is really the key to an understanding of the "foundations" of mathematics.' In this paper, I hope to get clear on how this is the case. First, I will explain Wittgenstein's understanding of a 'foundation' for mathematics. Then, by showing how the proposition 'I must have miscalculated' differentiates mathematics from the physical sciences, we will see how this proposition is the key to understanding the foundations of mathematics.
Rock Paintings: Solutions For Fermi Questions, September 2022, John Adam
Rock Paintings: Solutions For Fermi Questions, September 2022, John Adam
Mathematics & Statistics Faculty Publications
No abstract provided.
Rock Paintings, John Adam
Rock Paintings, John Adam
Mathematics & Statistics Faculty Publications
No abstract provided.
Psu At Clef-2020 Arqmath Track: Unsupervised Re-Ranking Using Pretraining, Shaurya Rohatgi, Jian Wu, C. Lee Giles
Psu At Clef-2020 Arqmath Track: Unsupervised Re-Ranking Using Pretraining, Shaurya Rohatgi, Jian Wu, C. Lee Giles
Computer Science Faculty Publications
This paper elaborates on our submission to the ARQMath track at CLEF 2020. Our primary run for the main Task-1: Question Answering uses a two-stage retrieval technique in which the first stage is a fusion of traditional BM25 scoring and tf-idf with cosine similarity-based retrieval while the second stage is a finer re-ranking technique using contextualized embeddings. For the re-ranking we use a pre-trained robertabase model (110 million parameters) to make the language model more math-aware. Our approach achieves a higher NDCG0 score than the baseline, while our MAP and P@10 scores are competitive, performing better than the best submission …
Teacher Support Of Co- And Socially-Shared Regulation Of Learning In Middle School Mathematics Classrooms, Melissa Quackenbush, Linda Bol
Teacher Support Of Co- And Socially-Shared Regulation Of Learning In Middle School Mathematics Classrooms, Melissa Quackenbush, Linda Bol
Educational Foundations & Leadership Faculty Publications
Social influences on classroom learning have a long research tradition and are critical components of self-regulated learning theories. More recently, researchers have explored the social influences of self-regulated learning in cooperative learning contexts. In these settings, co-regulation of learning and socially-shared regulation of learning strategies have been aligned with self-regulated learning theory. However, without specific training or structure, teachers are not likely to explicitly integrate SRL strategies into their teaching. We use case studies to better understand how Zimmerman's theory of self-regulated learning (2008) and Hadwin's conceptual framework of socially-shared regulation of learning (2018) emerge from teachers' support of student-centered …
A Wealth Of Numbers: An Anthology Of 500 Years Of Popular Mathematics Writing, By Benjamin Wardhaugh. Princeton University Press: Princeton, 2012 (Book Review), John A. Adam
Mathematics & Statistics Faculty Publications
(First paragraph) To describe the landscape encompassed by this book I can do no better than to quote the dust jacket: "A Wealth of Numbers includes recreational, classroom, and work mathematics; mathematical histories and biographies; accounts of higher mathematics; explanations of mathematical instruments; discussions of how math should be taught and learned; reflections on the place of math in the world; and math in fiction and humor." More such details can be found on the Princeton University Press website. I shall use this as a point of departure to describe the highlights of my own trajectory through the book. Not …
Putting The X In Biology: A Review Of The Mathematics Of Life, John Adam
Putting The X In Biology: A Review Of The Mathematics Of Life, John Adam
Mathematics & Statistics Faculty Publications
(First Paragraph) Charles Darwin's 1859 work On the Origin of the Species contained no equations. But that does not mean mathematics has no role to play in the science of life; in fact, the field of biomathematics is burgeoning and has been for several decades. Ian Stewart's new book does an admirable job of unfolding the mathematics undergirding so much of the research being carried out today in the many fields that comprise the subject of biology. Stewart sets the context by noting five great revolutions that have changed the way scientists think about life. These five revolutions are: (i) …
Flowers Of Ice- Beauty, Symmetry, And Complexity: A Review Of The Snowflake: Winter's Secret Beauty, John A. Adam
Flowers Of Ice- Beauty, Symmetry, And Complexity: A Review Of The Snowflake: Winter's Secret Beauty, John A. Adam
Mathematics & Statistics Faculty Publications
(First paragraph) Growing up as a child in southern England, my early memories of snow include trudging home from school with my father, gazing at the seemingly enormous snowdrifts that smoothed the hedgerows, fields and bushes, while listening to the soft “scrunch” of the snow under my Wellington boots. In the country, snow stretching as far as I could see was not a particularly uncommon sight. The quietness of the land under a foot of snow seemed eerie. I cannot remember the first time I looked at snowflakes per se; my interests as a small child were primarily in their …