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Anything from Wolfram Alpha is going to be rigorous and well done. I like their descriptions. Although I wish there was a more dynamic kind of presentation of derivatives and integrals, etc.

Nice list of resources from around the world, some of the sites are not in English, but most are. Worth looking at as there are a lot of connections to other topics.

A brief overview of pod casting is discussed, strategies for integration in math and science are provided, and pod casting resources are provided.

Most of today's students either own or use iPods, iPod Touches, MP3 Players, and computers everyday. These digital tools provide a natural strategy to support student learning - Podcasts!

Both wikis and blogs provide teachers with a a dynamic process for integrating Web 2.0 technology in their science and math classes. These two types of online tools offer students a more engaging process for learning. Both are relatively easy tools which do not require teachers or students to learn any special program tools or computer skills. Their uses and applications are only limited by the vision and purpose for helping students learn.

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."

Six math projects that integrate real-world math problems are presented as a teaching strategy for helping students develop a greater understanding of math.

Integrating Google Earth in mathematics

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Some great applets for use with math classes. From basic arithmetic modeling to modeling of integrals. From the University of Virginia these flash based apps will work on almost any platform except the iPod system (currently).

"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."

GeoGebra: Do the Math is a series of screencast tutorials for teachers and/or students. The tutorials were initiated as a project to support Maine math teachers in the integration of technology in the classroom. What is GeoGebra provides an overview of the program and its capabilities. Several tutorials present the program's menu options and tools in step-by-step format. Another group of tutorials provides examples of GeoGebra learning activities in major math content areas. These tutorials are intended as a visual supplement to printed guides and documentation. GeoGebra users can find a wealth of guidance and examples at www.geogebra.org. A web search such as "GeoGebra Pythagorean Theorem" will yield hundreds of additional articles, examples, and applets.

Abstract: "Human adults from diverse cultures share intuitions about the points, lines, and figures of Euclidean geometry. Do children develop these intuitions by drawing on phylogenetically ancient and developmentally precocious geometric representations that guide their navigation and their analysis of object shape? In what way might these early-arising representations support later-developing Euclidean intuitions? To approach these questions, we investigated the relations among young children's use of geometry in tasks assessing: navigation; visual form analysis; and the interpretation of symbolic, purely geometric maps. Children's navigation depended on the distance and directional relations of the surface layout and predicted their use of a symbolic map with targets designated by surface distances. In contrast, children's analysis of visual forms depended on the size-invariant shape relations of objects and predicted their use of the same map but with targets designated by corner angles. Even though the two map tasks used identical instructions and map displays, children's performance on these tasks showed no evidence of integrated representations of distance and angle. Instead, young children flexibly recruited geometric representations of either navigable layouts or objects to interpret the same spatial symbols. These findings reveal a link between the early-arising geometric representations that humans share with diverse animals and the flexible geometric intuitions that give rise to human knowledge at its highest reaches. Although young children do not appear to integrate core geometric representations, children's use of the abstract geometry in spatial symbols such as maps may provide the earliest clues to the later construction of Euclidean geometry. "

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"Usually, being able to visualise mathematical concepts to students is an important step in helping them understand techniques to illustrate connections with previous learning, helping them master maths notions to progress their skills. The importance of visualising concepts is clearly integral for Peter Mattock who has collected together a valued resource of mathematical activities that can be used with manipulative across the age and ability range."

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."

I Speak Math is an sidea-filled and informative blog from a math teacher currently at a project-based private school in North Carolina. Posts are updated often and include pictures of classroom projects along with links to resources used. Examples include a kinesthetic box and whisk-ers plot activity, foldables for functions and graphing, and reflections upon students grading their own tests. Explore the site further by viewing top posts through the link on the side bar. Search the site using the search box on the top of the page. Most posts include several tags. Click on a tag to find other posts with the same topic or click on popular tags located in the tag cloud on the side bar.

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

Abstract: "This research seeks to look into the design process that promotes the development of an educational computer game that supports teaching and learning processes. The research specifically looks at the design of an educational computer game for teaching and learning of the topic of functions. The topic is essential in the teaching and learning of Mathematics courses such as Discrete Mathematics, Real Analysis and Calculus among others at Jomo Kenyatta University of Agriculture and Technology (JKUAT) Kenya. The computer game was developed using the Basic Unified process (BUP) which is a streamlined version of the rational unified process (RUP). This is an object oriented methodology mostly used for small projects with few end users. Due to the few numbers of end users we used interview method of data collection to gather requirements for the computer game. A paper prototype was used to validate the requirements. Use cases were used for both analysis and design of the game while Class diagrams and activity diagrams were purely used for the design of the game. Owens' six top level design anatomy aided in the design of the computer game. The overall computer game design was based on Crawfords' computer game design sequence model. The well designed and developed game met all its user requirements and was able to facilitate the teaching and learning of functions to Bachelor of Science in Mathematics and Computer Science students who were taking Discrete mathematics in their first year of study at JKUATs' Taita/Taveta campus. Development of heuristics for measuring interest, fun and motivation are recommendations given to aid in the evaluation of user satisfaction of educational computer games."

We specialize in Mathematics Assignments that are complex enough, such as the Law of Probability or Differential and Integral Calculus, Science, Algebra, Geometry and topology, Combinatorics, Logic, Number theory etc Question Can a linear equation and a non linear inequality be solved in the same way? Explain Why. What makes them different?