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.

Enter an equation or system of equations, enter the variable or variables to be solved for, set the options and click the Solve button.

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."

From the abstract: "The problem addressed by this study is the need to identify practical predictors of success for community college developmental mathematics students in online, hybrid and seated course delivery formats. This study examined two possible predictors of success, mathematics self-efficacy and technology self-efficacy, in the three delivery formats and how they related to performance on a final assessment. The study used a quantitative research design employing binomial logistic regression to determine if the independent variables (math self-efficacy and technology self-efficacy) were significant in predicting the outcome category (score on the final assessment dichotomized about the mean). Next linear regression analysis was used to build a predictor equation for a particular score on the outcome variable. A previously developed survey and an adapted version of another survey were combined to measure the independent variables; demographic factors were also measured for descriptive purposes. Binomial logistic regression analysis showed that math self-efficacy was a valid predictor of success for the developmental math students in this study but technology self-efficacy was not. Regression analysis produced a valid equation to predict standard score from average math selfefficacy score. When separated into groups according to course format, math self-efficacy was only a valid predictor for students in hybrid courses. The implications of these results are discussed and recommendations are made for further research."

This is a discussion about variables; includes some solid research on the topic.

From the abstract (full text requires subscription): "Many organisms can predict future events from the statistics of past experience, but humans also excel at making predictions by pure reasoning: integrating multiple sources of information, guided by abstract knowledge, to form rational expectations about novel situations, never directly experienced. Here, we show that this reasoning is surprisingly rich, powerful, and coherent even in preverbal infants. When 12-month-old infants view complex displays of multiple moving objects, they form time-varying expectations about future events that are a systematic and rational function of several stimulus variables. Infants' looking times are consistent with a Bayesian ideal observer embodying abstract principles of object motion. The model explains infants' statistical expectations and classic qualitative findings about object cognition in younger babies, not originally viewed as probabilistic inferences."

Mathematics game from Maryland Public Television designed for middle-school pre-algebra students. The protagonist, a kid who's just had his beloved pet abducted by Bigfoot and taken to a subterranean food mill, has to solve a series of math-based puzzles to get him back. The puzzles focus on proportions, ratios, fractions, and variables.

Lure of the Labyrinth is today's innovative catch Lure of the Labyrinth is a game for middle school pre-algebra students designed to improve math and literacy skills. It includes intriguing math-based puzzles embedded in a narrative game in which students work to find their lost pet and save the world from monsters. Linked to mathematics standards, the game gives students a chance to think like mathematicians. Lure of the Labyrinth Home Page In Lure of the Labyrinth, students progress through three sections, or wings each related to a different math strand that is part of a the typical pre-algebra curriculum: * Proportions (including fractions and ratios) * Variables and Equations * Number and Operations (including geometry, order of operations and modular arithmetic) Each of the three wings includes three puzzles, and each of the puzzles has three levels progressing from easy to hard. Students have to successfully solve each puzzle three times before they can advance through the game. Lure of the Labyrinth Library Page A professional development video specifically designed for pre-algebra teachers takes them step-by-step through the things they need to do to make this engaging game the focal point of great classroom learning experiences. Planning resources include links to standards, directions for working with specific puzzles, lesson plans, explanations of the background math, and graphic organizers. Video - Lure of the Labyrinth Lure of the Labyrinth was created by Maryland Public Television and MIT Education Arcade in cooperation with FableVision.

For prealgebra students.

In the portal you'll find a dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more built by Wolfram education experts. Absolutely a great resource. Builds in representations, applets, explanations of variable use etc. Great tool.  Since it is in Beta, I am wondering how long it will be free and what their plans are for the future. 

An interesting maths site where players must find the value of X in problem using multiplication, division, addition or subtraction. http://ictmagic.wikispaces.com/Maths

Teaching Algebra is always a challenge with students, because it is procedural driven and typically taught without any connection to the real-world.

An impressive graphing calculator. Just enter your equations and variables to draw. http://ictmagic.wikispaces.com/Maths