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This practice guide provides five recommendations for improving students' mathematical problem solving in grades 4 through 8. This guide is geared toward teachers, math coaches, other educators, and curriculum developers who want to improve the mathematical problem solving of students.

I was surprised. I learned things from this article. It can be projected in class to teach students also.

learning guides for operations fractions ratio basic- geometry statistics algebra

Students in grades 3-5 use various fraction concepts to guide the main character home.

"A talking mat to encourage reasoning in maths lessons through oracy. The mat features a range of sentence stems to guide children."

"Kill Math is my umbrella project for techniques that enable people to model and solve meaningful problems of quantity using concrete representations and intuition-guided exploration. In the long term, I hope to develop a widely-usable, insight-generating alternative to symbolic math."

Eliminating math misconceptions is difficult and merely repeating a lesson or extra practice will not help. Telling students were they are mistaken will not work either. Recognizing student misconceptions and immediately focusing on the misconception is important. Providing guiding questions using inductive reasoning is the best approach, along with the use of writing prompts which help reveal further student misconceptions.

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."

A great maths video tutorial site that covers all the basics. Great to use for extra support or home study guides. http://ictmagic.wikispaces.com/Maths

A superb site with free downloadable pdf textbooks for adults on subjects such as IT and Programming, travel guides and science. http://ictmagic.wikispaces.com/Cross+Curricular

"overview of the landscape of K-12 STEM education by considering different school models, highlighting research on effective STEM education practices, and identifying some conditions that promote and limit school- and student-level success in STEM. It can serve as a guide for those involved in K-12 education at all levels: policy makers; decision makers at the school and district levels; local, state, and federal government agencies; curriculum developers; educators; and parent and education advocacy groups." Findings, according to a Science magazine news story indicate that STEM teaching matters more than specialized STEM schools. Report does indicate steps to improve STEM education, involving investments in resources and teacher training, see :http://bit.ly/kRPyH3

"The open repository of interactive high school lesson video modules sponsored by MIT's Learning International Networks Consortium (LINC) has unveiled an updated website. Every lesson, filmed in high school classrooms from Brooklyn to Beirut to Bangalore, is still a complete resource that includes video segments, a teacher's guide, downloadable hand-outs, and a list of additional online resources relevant to the topic. Since first appearing in these pages six months ago, the library of videos has grown to over 50 math and science lessons, all freely available to teachers as streaming video, Internet downloads, DVDs, and videotapes."

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.

Summaries of presentations from a symposium at Florida International University in 2012

"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."

"An Accessible Guide to Historical, Foundational and Application Contexts" (Springer, 2013)

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Math Apprentice answers the question that is on the minds of most math students: When are we ever going to use math in the real world? This rich, multimedia site provides students an opportunity to try various professions that use math. Students can be scientists, engineers, computer animators, video game programmers, and more. Math Apprentice provides areas of free exploration as well as specific problems to solve.

A superb set of maths games and activities on topics across the maths curriculum. Guide your character around the town exploring buildings and jobs by completing maths tasks. http://ictmagic.wikispaces.com/Maths

Mathing…teaching education mathematics technology games and... Great post on left and right limits in student friendly terms.