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Great set of lessons for modeling, recursive functions, real-life application from NCTM Illuminations. The lessons include not only context, but applets that help students visualize the situation and  mathematical model. 

Teaching math to elementary students is critical for establishing a foundation of success in mathematics. There is a need for some basic memorization of facts, because students who do not memorize arithmetic functions struggle in upper grades. However, math must be fun and interesting, along with making connections with real-world applications.

Applications for the use of Wikis in science classrooms is only limited by the creativeness of the teacher in support science teaching and student earning.

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.

Mount Holyoke physics professor Mark Peterson argues that Galileo's applications of mathematics to Dante's Inferno laid the groundwork for his later discoveries (to be expanded on in a forthcoming book: ""Galileo's Muse: Renaissance Mathematics and the Arts" )

Northwestern University scientists created a model to explore food web dynamics towards species conservation. "The goal of this project, funded by the National Science Foundation's Division of Mathematical Sciences, is to develop mathematical methods to study dynamical processes in complex networks. Although the specific application mentioned here may be useful in management of ecosystems, the mathematical foundation underlying the analysis is much more universal. The broad concept is innovative in the area of complex networks because it concludes that large-scale failures can be avoided by focusing on preventing the waves of failure that follow the initial event."

Math apps can rang from flash cards to calculators to graphing. One day an iPAD can be a textbook, a calculator, and a review sheets. Lately, there has been several reference apps released that contain formulas and other reference materials.

Given that a large percentage of students have difficulty with math. The usability of a math e-learning tool is critical. The easier and more user friendly such an application is the more a student can forget about the e-learning tool and focus on learning the math content. Here is the usability report that was undertaken in the National E-Learning Lab at the National College of Ireland. This is a useful read for users of the Beta version along with Instructional Designers and Software Developers who are involved in similar projects.

Using the equation editor that comes with Microsoft Word, equations can be inserted into Word, PowerPoint, or any application that supports OLE (Object Linking and Embedding). Although most of this document provides instructions pertaining to Word, the procedures for inserting and editing equations in Word are the same as for PowerPoint. Some PowerPoint specific notes can be found at the end of this document.

With Glean PEMDAS (Please Excuse My Dear Aunt Sally), we present a math learning environment to help teachers extend students' understanding of order of operations concepts.

With Glean PEMDAS (Please Excuse My Dear Aunt Sally), we present a math learning environment to help teachers extend students' understanding of order of operations concepts. Glean PEMDAS can be used to introduce Order of Operations, and is best applied to critical inquiry about application of order.

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This tool enables K-6 students to build visual models of word problems. There are hundreds of built-in math problems covering thirty-six different categories. Videos explain how to model each problem type. The full screen feature makes this application compatible with interactive white boards.

This is an incredible collection!!!

"In Math on Trial, mathematicians Leila Schneps and Coralie Colmez tell the story of ten criminal trials in which mathematical arguments were used-and disastrously misused-as evidence. Using a wide range of examples, from the Dreyfus Affair to the Amanda Knox murder trial, they show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse featuring such characters as Charles Ponzi, Alfred Dreyfus, and Oliver Wendell Holmes, Math on Trial shows that legal expertise isn't always enough to prove a person innocent."

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: This research paper has been designed to develop an online tutoring system for pre - K to middle school Math students. The research methodology applied in this study has used both qualitative and quantitative research methods in terms of external and internal Web or software metrics to obtain the usable parameters to design an effective tutoring system to learn Math. Today online hypermedia applications are increasingly becoming more feature rich, important and also the most popular means for communication among school students for e - learning. This paper is divided into four parts: part 'I' presents the introduction of Kumon based after school education; part 'II' describes the research proposal to identify measures, model, and methodology to develop the Web - based online learning system for Pre - K to middle school math students ; part 'III' elaborates the role of using static analysis, dynamic, and comparative analysis that can be applied to check the characteristics and authenticity of data obtained for each student separately; and finally part 'IV' investigates the behaviour of online tutoring system to find the failure points and to calculate reliability aspects using Web page trace algorithms and We b page replacement policies. In this paper, an attempt has been made to systematically explain the state of the art and their practices to design, analyze, and test the functionality of online learning systems for pre - K to middle school Math students

"Estonia said it plans to adopt an innovative math curriculum developed by a UK-based group called Computer-Based Math. The effort is the brainchild of Conrad Wolfram, brother of Stephen Wolfram who cofounded Mathematica, a computational software program designed to help with project workflows in almost any industry. "

Collaborative LaTex, or as the site describes, like Google Docs with LaTex added

Discussion of Alleyoop, Pearson Edcuation's app to help high school students reach college competence in math and science

A study on the efficacy of introducing game-like achievements in classroom learning, with math as one of the examples, see appendices