Group items tagged

I really like this article because of how relatable it is. I want my students to ask questions but getting them to ask them is the tricky part. Encouraging them constantly that they can do it and to ask questions can be exhausting but that's what I want so that they will become confident and improve. I also love the end of the article were she talks about giving credit for showing work even if the answer is wrong. I do this in my classroom as well because if I see that the student is trying then I can hopefully help them in he future move toward the correct answer.

This is a great article. I run into adults today who when I say I am going to teach math they say "ooh why? Math was alway so hard." And I can admit at times my response it "but it's so easy." Which obviously isn't the greatest response to that. However, they react the same way the article describes, by claiming they aren't "math people" and didn't get it. But every one can learn math (can learn anything for that matter).

matematicas

David Tall, emeritus professor from Warwick in the UK, published this book in 2013, and this links to his summary and a sample chapter. His papers and other math resources are on his website: http://homepages.warwick.ac.uk/staff/David.Tall/index.html

Jo Boaler's research on how children learn math is called into question and her response ""When Academic Disagreement Becomes Harassment and Persecution" is discussed in this article, which also features support from her colleagues and a video explaining her ideas.

"A consortium of education organizations will be developing an online repository of classroom videos to help new teachers learn from master instructors how to teach math and science topics in third through sixth grades. The video repository is part of a project funded by a $3 million grant from the United States Department of Education and includes participants from Stanford University and the American Association of Colleges for Teacher Education (AACTE), as well as the Teacher Performance Assessment Consortium (TPAC), which AACTE helps to operate."

Published 2012. "Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegant proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries."

Published March 2013. "The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron Curtain, and gives examples of the problem from a variety of disciplines, including economics, physics, and biology. He explores problems that capture the full difficulty of the P-NP dilemma, from discovering the shortest route through all the rides at Disney World to finding large groups of friends on Facebook. But difficulty also has its advantages. Hard problems allow us to safely conduct electronic commerce and maintain privacy in our online lives. The Golden Ticket explores what we truly can and cannot achieve computationally, describing the benefits and unexpected challenges of this compelling problem."

Abstract: "This study examined the benefits and challenges associated with implementing RtI [Response to Intervention] in the area of math ematics in an elementary and a middle school in a rural district in the northeastern United States. We sought to document the ways in which two schools approached implementation of RtI and to explore the issues they encountered with respect to instruction , intervention, and assessment. Five themes were identified that described implementation of the RtI framework: Shifting roles and changing structures, increasing opportunities for collaboration and communication, inc reasing instruction al an d assessment su pport for students who struggle in math, increasing knowledge of support strategies for learners who struggle with math, and "spreading the word" and enhancing the use of the model. The results of this study suggest that the RtI model has potential to impr ove how math instruction is approached in elementary and middle schools. "

from the abstract: "Mathematics is now at a remarkable in exion point, with new technology radically extending the power and limits of individuals. Crowd- sourcing pulls together diverse experts to solve problems; symbolic computation tackles huge routine calculations; and computers check proofs too long and complicated for humans to comprehend. The Study of Mathematical Practice is an emerging interdisciplinary eld which draws on philoso- phy and social science to understand how mathematics is produced. Online mathematical activity provides a novel and rich source of data for empirical investigation of mathematical practice - for example the community question-answering system mathover ow contains around 40,000 mathe- matical conversations, and polymath collaborations provide transcripts of the process of discovering proofs. Our preliminary investigations have demonstrated the importance of \soft" aspects such as analogy and creativity, alongside deduction and proof, in the production of mathematics, and have given us new ways to think about the roles of people and machines in creating new mathematical knowledge. We discuss further investigation of these resources and what it might reveal. Crowdsourced mathematical activity is an example of a \social machine", a new paradigm, identi- ed by Berners-Lee, for viewing a combination of people and computers as a single problem-solving entity, and the subject of major international research endeavours. We outline a future research agenda for mathematics social machines, a combination of people, computers, and mathematical archives to create and apply mathematics, with the potential to change the way people do mathe- matics, and to transform the reach, pace, and impact of mathematics research."

From the abstract: "ew innovations by math- ematicians themselves are starting to harness the power of social computation to create new modes of mathematical production. We study the effectiveness of one such system, and make proposals for enhancement, drawing on AI and computer based mathematics. We analyse the content of a sample of questions and responses in the community ques- tion answering system for research mathematicians, math- overflow . We find that mathoverflow is very effective, with 90% of our sample of questions answered completely or in part. A typical response is an informal dialogue, allowing error and speculation, rather than rigorous mathematical argument: 37% of our sample discussions acknowledged er- ror. Responses typically present information known to the respondent, and readily checked by other users: thus the effectiveness of mathoverflow comes from information shar- ing. We conclude that extending and the power and reach of mathoverflow through a combination of people and machines raises new challenges for artificial intelligence and compu ta- tional mathematics, in particular how to handle error, anal - ogy and informal reasoning."

Abstract: "In spite of the efficacy of Operations Research (OR), its tools are still underused, due to the difficulties that people experience when describing a problem through a mathematical model. For this reason, teaching how to approach and model complex problems is still an open issue. A strong relation exists between (video) games and learning: for this reason we explore to which extent (real time) simulation video games could be envisaged to be an innovative, stimulating and compelling approach to teach OR techniques."

Abstract :"The nation's remedial math programs are failing students. New, effective, and dramatic changes are required to reverse the trend. Acknowledging the plight of community college remedial math students, this white paper discusses critical variables in planning and implementing instruction. Absent of a consensus in the U.S. political landscape on how to effectively provide remedial mathematics instruction, the authors suggest instructional variables to support mathematics faculty, administrators, tutors and advising staff in changing the disheartening data and experience."

"Nasa's Voyager spacecraft have enthralled everyone with their exploits on the edge of the Solar System, but their launch in 1977 was only possible because of some clever maths and the persistence of a PhD student who worked out how to slingshot probes into deep space".

"π has fascinated mathematicians, engineers and other people for centuries. It is a mathematical constant that is the ratio of a circle's circumference (C) to its diameter (d); This also explains why and how this number got its name: the lowercase π was first adopted in 1706 as an abbreviation for this number because it is the first letter of the Greek for "perimeter", specifically of a circle." Introduces a video by Numberphile explaining more about the determination of π

"SRI International, Worcester Polytechnic Institute (WPI), and the University of Maine have received a $3.5 million award from the Institute of Education Sciences at the U.S. Department of Education to evaluate the effectiveness of an online tutoring system for mathematics homework. The research team will study seventh-grade mathematics students and teachers in more than 50 schools throughout Maine using WPI's ASSISTments system. ASSISTments aims to transform homework by giving students instant feedback and tutoring adapted to their individual needs. It also provides teachers with customized reports each morning on their students' nightly progress. Teachers in the study will receive training in how to use these reports to adapt their lesson plans to better suit students' needs."

"a man who figured out how to have his pi and recite it, too - beyond 60,000 decimals. All it took was intensive practice and a knack for storytelling, a new study finds."

"Researchers in Spain have recently proved, mathematically, that particles charged in a magnetic field can escape into infinity without ever stopping. When this happens, under a certain set of conditions, particles will either never stop, as in a loop, or actually escape the limits of a spherical surface, no matter how big the surface may be."

Abstract:"Prime Climb is an educational game that provides individual support for learning number factorization skills in the form of hints based on a model of student learning. Previous studies with Prime Climb indicated that students may not always be paying attention to the hints, even when they are justified (i.e. based on a student model's assessment). In this thesis we will discuss the test-bed game, Prime Climb, and our re-implementation of the game which allowed us to modify the game dynamically and will allow for more rapid prototyping in the future. To assist students as they play the game, Prime Climb includes a pedagogical agent which provides individualized support by providing user-adaptive hints. We then move into our work with the eye-tracker to better understand if and how students process the agent's personalized hints. We will conclude with a user study in which we use eyetracking data to capture user attention patterns as impacted by factors related to existing user knowledge, hint types, and attitude towards getting help in general. We plan to leverage these results in the future to make hint delivery more effective."

"In December, 2011, Ian Waitz, MIT's Dean of Engineering, launched the MIT-K12 project, driven by a series of questions: How can we change the perception of the role of engineers and scientists in the world? What can MIT do, right now, to improve STEM education at the K12 level? What if MIT became a publicly accessible "experiential partner" to the country's K12 educators? What if MIT students generated short-form videos to complement the work those educators are already doing in their classrooms and homes?"

Design Zone, at Franklin Institute in Philadelphia through April 1, introduces children to creative challenges at intersection of math engineering and science.

"This book provides insights into how mathematical understanding emerged for primary-aged children (5-13 years) when they investigated mathematical tasks through digital media."