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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."

In Educator's Algebra I course, instructor Dr. Grant Fraser walks you through the building blocks of mathematics, starting from Functions, Graphs, and Inequalities, to Factoring, Polynomials, and Rational Expressions. Utilizing his 27 years of teaching experience, UCLA educated (Ph.D and B.S.) Professor Fraser carefully explains each concept from multiple angles to ensure learners of any math ability can master Algebra. Dr. Fraser finishes off every idea with a reinforcing example in addition to the four worked-out video examples and things to remember at the end of each lecture.

This is a collection of interactive lessons from a Grade 4 Math course developed by Winpossible - the course uses an innovative instruction format by combining an engaging animated character's visual and voice with Winpossible's unique ChalkTalk™ technology (patent pending) in order to replicate the "classroom experience" for students. The course matches with the Grade 4 correlations of most states in the US.

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.

"supports middle grades educators with high-quality, standards-based resources and promotes collaboration and knowledge-sharing among its users. Educators use MSP2 to increase content knowledge in science, mathematics, and appropriate pedagogy for youth ages 10 to 15. MSP2 employs social networking and digital tools to foster dynamic experiences that promote creation, modification, and sharing of resources, facilitate professional development, and support the integration of technology into practice."

Unlock your potential with Brain Training. The ultimate solution for advanced cognitive enhancement. Designed by CogniFit, this innovative program utilizes cutting-edge techniques to sharpen your memory, improve focus, and boost overall brain performance. With personalized training programs tailored to your unique needs, you'll experience noticeable improvements in just a few weeks. Take control of your mental fitness and unleash your full cognitive potential with Brain Training.

Unlock your potential with Brain Training. The ultimate solution for advanced cognitive enhancement. Designed by CogniFit, this innovative program utilizes cutting-edge techniques to sharpen your memory, improve focus, and boost overall brain performance. With personalized training programs tailored to your unique needs, you'll experience noticeable improvements in just a few weeks. Take control of your mental fitness and unleash your full cognitive potential with Brain Training.

A college institutional researcher reveals some data concerning math placement tests and the pressures impacting students to opt for more difficult math courses without adequate preparation and unsatisfactory results. He writes: "In my mind, this disconnect exemplifies the degree to which incoming students and families don't grasp the difference between going to college to acquire content knowledge and going to college to develop skills and dispositions. ... [I]f students understand that college is about developing skills and dispositions, I think that they might be more likely to appreciate the chance to start at the beginning that is appropriate for them, savoring each experience like a slow cooked, seven course meal because they know that the culmination of college is made exponentially better by the particular ordering and integrating of the flavors that have come before."

abstract: "A large number of studies carried out on pupils aged 8-14 have shown that teachable agent (TA) based games are beneficial for learning. The present pi- oneering study aimed to initiate research looking at whether TA based games can be used as far down as preschool age. Around the age of four, theory of mind (ToM) is under development and it is not unlikely that a fully developed ToM is necessary to benefit from a TA's socially engaging characteristics. 10 preschool children participated in an experiment of playing a mathematics game. The partic- ipants playing a TA-version of the game engaged socially with the TA and were not disturbed by his presence. Thus, this study unveil exciting possibilities for further research of the hypothesised educational benefits in store for preschoolers with regard to play-and-learn games employing TAs."

From the abstract: "this study investigated how the perspectives of the non-computer science educators changed after learning game-programming and how it could be fitted into the K-12 curriculum. Fourteen non-computer science educators and/or administrators in the K - 16 educational systems who made up a cohort at Sam Houston State University, Master of Education/Instructional Technology Program participated in this study. The participants were required to learn two free Web 2.0 game-programming applications and reflect on an article related to reviving interest in math and science as part of their program. Qualitative data consisted of online reflections, and peer-review processes through Facebook. A quantitative component was added to the analysis. The findings indicated that: (a) the perspectives of the participants changed from negative to positive as they reflected on their own game-programming learning experiences; (b) participants came to understand how game programming could build up students' logical concepts and critical thinking skills improving performances in math, science, and other subjects; and (c) due to the benefits of logical concepts and critical thinking skills game programming could have immense benefits if built into the K-12 curriculum."

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."

"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: Some were born to do math, some persevered past fearful environments, while others withdrew. In this qualitative study, adults describe life with algebra and the meaning they sought. For all, pedagogy was critical, either positively or negatively; and all found salvation in intervention."

"Our studio was created to help parents who want to give their children a better education than is provided by the majority of schools.....Our program is based on more than 30 years of teaching experience during which time we have synthesized the best of Russian, American, and European logical and thinking developmental programs."

"The participants of this study were undergraduate students at a university in Western Canada. They were enrolled in a Secondary Mathematics methods course as part of their program. A total of 21 students (10 males and 11 females) in the class participated voluntarily, ranging from ages 20 to 45 years old. " Surveyed before and after they design math games for the classroom.

Abstract "This article reports on a case study of the web-based educational maths application, Mathletics. The findings are drawn from an ethnographic study of children's technology use in Melbourne, Australia. We explore the experience, governance and commerce of children's Mathletics use, and offer insights into the developing possibilities and challenges emerging through the adoption of Web 2.0 applications for learning and education." (Full text requires subscription or purchase)

Abstract: "How can smartphones apps enrich the learning of mathematics in vocational education? This article examines how mathematics teaching can be enriched by apps using smartphone sensors such as gyroscope, compass, camera, and touch screen in a gaming context. An iterative and participatory design process involving two classes of carpentry students from different vocational colleges resulted in two highly successful and course-relevant games based on trigonometry. Each game consists of quests and missions whose successful completion unlocks more theoretical multiple-choice exercises for the classroom. The combination of competition to unlock exercises, competition for placing on the high-score list, and physical activity proved very motivating for the students and was also approved by their teachers. In this article we describe our design principles, the overall game architecture and the games themselves. We talk about our experience in implementing our design process and subsequently summarize the pros and cons of the application and the smartphone platform and how the app developed contributes to vocational mathematics teaching"

"This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves. "Visit the book's companion web site, gamemath.com, to download the example code and access other resources.

"intrinsic approach to designing educational games" studied in experiments with Zombie Division to teach math to 7 and 11 year olds

"As a medium for learning, digital games provide promising possibilities to motivate and engage students in subject learning. In this study, a game-based learning system, My-Pet- My-Quest, is developed to support pupils' math learning. This is due to the fact that most students in Taiwan have relatively lower positive attitude towards math learning, even though their math performance is prominent. To this end, a three-tire framework is proposed to guide the design of the My-Pet-My-Quest system. A quasi-experiment was conducted to examine the influence of game quests on pupils' enjoyment and goalpursuing in math learning. The results revealed that game quests were favored by students in terms of enjoyment, goal orientation, and goal intensity. Possible reasons for these results and a discussion of related issues are presented in this paper."