Group items tagged

CK-12 Foundation's Basic Algebra, Volume 1 Of 2 FlexBook covers the following six chapters:Expressions, Equations, and Functions - covers the relationships among expressions, equations, and functions when variables are present. Also explored is how these ideas can be shown on graphs. Properties of Real Numbers - covers various forms that rational numbers can assume, including fractions, integers, and square roots. Also considered are different operations for manipulating rational numbers. Linear Equations - introduces students to methods of solving simple equations involving variables. Also covered are ratios, scale, and the percent equation. Graphing Linear Equations and Functions - provides students with a more in-depth understanding of equations by introducing coordinate plane graphing concepts such as intercepts and slope. Writing Linear Equations - focuses on writing various forms of equations based upon real-world data and already existing lines. Students will also learn about predicting data using a fitted line. Linear Inequalities and Absolute Value; An Introduction to Probability - covers operations of inequalities, including addition, subtraction, multiplication and division. These principles are then applied to absolute value and probability.

"Mathematician Shinichi Mochizuki of Kyoto University in Japan has released a 500-page proof of the abc conjecture, which proposes a relationship between whole numbers - a 'Diophantine' problem. The abc conjecture, proposed independently by David Masser and Joseph Oesterle in 1985, might not be as familiar to the wider world as Fermat's Last Theorem, but in some ways it is more significant. "The abc conjecture, if proved true, at one stroke solves many famous Diophantine problems, including Fermat's Last Theorem," says Dorian Goldfeld, a mathematician at Columbia University in New York. "If Mochizuki's proof is correct, it will be one of the most astounding achievements of mathematics of the twenty-first century." See additional commentary at: http://bit-player.org/2012/the-abc-game?utm_src=HN2

relationship between "puzzle-solving and mathematical skills"

s a software tool for detecting equations and hidden mathematical relationships in your data. Its primary goal is to identify the simplest mathematical formulas which could describe the underlying mechanisms that produced the data. Eureqa is free to download and use.

review of "THE CALCULUS OF FRIENDSHIP: What a Teacher and a Student Learned about Life While Corresponding about Math" published in 2010 and now in paperback. Transverses thirty years of correspondence between Strogatz and his teacher, insights into student-teacher relationship and lifelong learning

Discusses theory of motivational learning in educational games and presents a research study involving 115 elementary school students in math class using digital game-based learning

"Diagramly is a free online diagram drawing application. You can use it to create UML, entity relationship, org charts, BPMN and BPM, database schema and networks. Also possible are telecommunication network, workflow, flowcharts, maps overlays and GIS, electronic circuit and social network diagrams. It's like a mini version of Visio in your browser."

Abstract: Educational videogames can be designed to provide instructional feedback that is responsive to specific actions. However, existing research indicates that students tend to ignore videogame feedback and subsequently use less effective help-seeking strategies. Research on help-seeking in learning environments has primarily focused on the role of cognitive factors, the nature of the help, or issues of timing and frequency. There is a noticeable gap in understanding regarding how to motivate and increase the use of feedback for improved learning. Using a pre-algebra videogame, this study examined the relationship between an incentive to use feedback and math achievement. A randomized-control design was employed, which compared learning outcomes of students who received the incentive to those who did not. Results indicated that students given the incentive to use feedback had significantly higher normalized change scores on math items (d = .53), with stronger effects for students with low academic intrinsic motivation (d = .88 - 1.17).

Abstract "The relation between fidelity of implementation and student outcomes in a computer-based middle school mathematics curriculum was measured empirically. Participants included 485 students and 23 teachers from 11 public middle schools across seven states. Implementation fidelity was defined using two constructs: fidelity to structure and fidelity to process".

Prometheus Books The Glorious Golden Ratio [978-1-61614-423-4] - "For centuries, mathematicians, scientists, artists, and architects have been fascinated by a ratio that is ubiquitous in nature and is commonly found across many cultures. It has been called the "Golden Ratio" because of its prevalence as a design element and its seemingly universal esthetic appeal. From the ratio of certain proportions of the human body and the heliacal structure of DNA to the design of ancient Greek statues and temples as well as modern masterpieces, the Golden Ratio is a key pattern that has wide-ranging and perhaps endless applications and manifestations. What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. With their talent for elucidating mathematical mysteries, veteran educators and prolific mathematics writers Alfred S. Posamentier and Ingmar Lehmann begin by tracing the appearance of the Golden Ratio throughout history. They demonstrate a variety of ingenious techniques used to construct it and illustrate the many surprising geometric figures in which the Golden Ratio is embedded. They also point out the intriguing relationship between the Golden Ratio and other famous numbers (such as the Fibonacci numbers, Pythagorean triples, and others). They then explore its prevalence in nature as well as in architecture, art, literature, and technology. "

Published 2012 "Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier--"Don't disturb my circles"--words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction."

Understanding math through music.