Group items tagged

"This site represents a collective effort to explore teaching and learning in the 21st century and beyond. The list of teachers and student knowledge, skills, and dispositions was initially generated by teachers and administrators from Rockland County BOCES who explored a number of resources and references on 21st learning. The lists are a work in progress and will benefit greatly from the continued exploration and addition of outcomes by those who visit this site."

"Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving" by Sanjoy Mahajan, published in 2010. "Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool-the general principle-from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest." Available as a free download (Creative Commons License), .pdf): http://mitpress.mit.edu/books/full_pdfs/Street-Fighting_Mathematics.pdf

A random addition question worksheet generator with lots of options and levels. Publish your worksheets online and give the link to your student to complete. Worksheets are self marking. You can also print your worksheets. http://ictmagic.wikispaces.com/Maths

"This model for learning mathematics may be quite different from what teachers experienced themselves in the past where classrooms were less interactive, filled with little activity and conversation. Teachers were generally in control, directing all aspects of what was to be learned; different points of view and approaches seldom brought to the surface new ideas and insights and a high degree of redundancy meant that everybody learned the exact same thing at the exact same time.

This multimedia resource includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life. The resource addresses the following mathematics topics: Fractions; Integers; Percentages; Rate/Ratio/Proportion; Square Roots; Exponents; Patterns; Algebra; Linear Equations; Polynomials; Angles; Circles; Surface Area and Volume; Area and Perimeter; Triangles; Pythagoras; Trigonometry; Similarity and Congruence; Transformations; Shape Classification; Data Display and Graphs; Central Tendency and Distribution; and Probability.

A great general maths site with lots of tutorials, activities and games which will help your students at school and at home. http://ictmagic.wikispaces.com/Maths

A novel method of generating all Pythagorean triples, interactive.

Do as many problems as you need to, at whatever pace you wish to go. The problems are generated at random. They're different every time. Every time you get to see the answer, and how to do the problem!

If you need help in College Algebra, Intermediate Algebra, Beginning Algebra, Math for the Sciences, or preparing for the math part of the general GRE, THEA or ACCUPLACER test, you have come to the right place. Note that you do not have to be a student at WTAMU to use any of these online tutorials.

Report from the National Academies. Summary: "The mathematical sciences are part of nearly all aspects of everyday life-the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term."

Largest database of question and answers on Aptitude and Reasoning covering Non Verbal Reasoning, Verbal Reasoning Logical Deduction, Verbal Reasoning Mental Ability, Quantitative Aptitude Arithmetic Ability, Quantitative Aptitude Data Interpretation.

Published 2013 by CRC Press. A collection of essays and stories on mathematics for the general reader, including such topics as mathematicians, mathematical discoveries, prime numbers, puzzles, equations, proofs and the value of mathematics.

"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."

"Complicated mathematics presented in a generally understandable way Examples from everyday life are mathematized Many examples presented with a good sense of humor Small riddles and conjuring tricks garantee an entertaining reading Imagine that you've finally found a parking space after a long and harrowing search, but are now encountering some difficulty in trying to enter this space."

"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?"

Abstract: "A mobile learning research project was conducted in Trinidad and Tobago to determine if mobile learning can assist high school students in learning mathematics. Several innovative techniques were used in this research to address the problem of high failure rates of mathematics in high schools in the Caribbean. A mobile learning application was developed based on a subset of the high school mathematics curriculum used in the English-speaking Caribbean. Game-based learning, personalization and multiple learning strategies were used in conjunction with mobile learning to assist students in improving their performance in mathematics. Three evaluation studies were conducted with the mobile learning application. During the studies, usage data was captured automatically by the system and this was used to determine the extent to which the students actually used the mobile application. At the end of each study, a questionnaire was used to capture student opinions of the mobile learning application. Questionnaire data is based solely on student responses and there is no guarantee of its accuracy and reliability. This paper focuses on the responses of the students to the questionnaire and seeks to determine if the usage data can increase the reliability of the questionnaire data. It summarizes the behaviour patterns of the students gleaned from the usage logs and compares this to the students' responses to the questionnaire. Generally it was found that the students' responses agreed with the usage data, though there were occasions when the responses diverged."

Motivation and Disposition: Pathways to Learning Mathematics - 73rd Yearbook (2011) Product Description Daniel J. Brahier, Volume Editor and William R. Speer, General Editor "Teaching mathematics is a much broader endeavor than simply helping students to acquire skills and problem-solving strategies. ...NCTM's seventy-third yearbook examines such elements as the demographic composition of a school; the role of movies, television, and the Internet; and nontraditional pedagogy as means of promoting and influencing positive student and teacher dispositions." Of particular interest is Chapter 9 "What Motivates Mathematically Talented Young Women?," which evidently reports on high school girls at a summer camp. Available for .pdf download via purchase, or in a library: http://www.worldcat.org/oclc/715171259

Report from AAAS on program to recruit new generation of math and science teachers

Abstract: "the researcher attempted to investigate how to better measure engagement and refine the measurement of engagement in this study. To frame the engagement, three domains of engagement - behavioral, cognitive, and emotional- are analyzed in detail to be able to examine the qualities of each type. Moreover, three game attributes -clear goals, immediate feedback, and balance between challenges and skills- are presented and discussed as fundamental features of virtual manipulatives and educational games used in this study to make an impact on students' engagement. To measure effects of educational games and virtual manipulatives on three domains of engagement, the researcher designed an engagement survey that examines each domain separately with their sub-domains. The Cronbach's alphas for engagement pre-test and post-test were found .89 and .91 respectively. In this pre-test and post-test quasi-experimental design, four fifth-grade classrooms (N=86) from four schools in southwest Virginia were assigned as three experimental groups and one control group. In the first experimental group, participants played an educational game called Candy Factory and in the second experimental group, the students played another educational game called Pearl Diver on iPod Touch for eight days consecutively, for 20 minutes each. In the third experimental group, participants performed activities with virtual manipulatives, whereas in the control group, participants did paper-and-pencil iii drills for the same duration. All of the groups studied on the same topic, fractions. According to the results of ANCOVA, experimental group students' engagement scores were found significantly higher than control group students', F(1,80)=11.568, p=.001. When three domains of engagement were analyzed, significant differences were found among all three domains between experimental and control groups. When the researcher conducted separate analysis for educational games group and vir