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Make printable worksheets of reflecting shapes in four quadrants with coordinates. http://ictmagic.wikispaces.com/Maths

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."

This is a compilation of Karl's Transparent Algebra posts. He does such an incredible job of making his thinking visible for all of us in how he is planning his course for the upcoming year. I share it because I think it's a valuable example of a reflective practitioner and worth sharing. If you have any teachers who might benefit from reading some of his reasoning, I encourage you to send them to his blog!

Students in grades 5+ practice reflections, rotations, and translations.

A game where students can practise their coordinates by moving shapes to fit in the correct space and using rotation, translation and reflection. http://ictmagic.wikispaces.com/Maths

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.

"Contrary to what you've probably read, you don't have to be engaging to be a great teacher-at least not in any charismatic and charming sense of the word. You can be relatively "boring" and lead students to outstanding academic progress, mainly by staying organized, being reflective, flexible, and in constant contact with an active and ambitious professional learning networking. Teaching differently requires work."

Examining Exemplary Mathematics Instruction in Howard County Purpose: This wiki has been designed as a repository for resources and for sharing of ideas. Each of the seven visitation teams will have an opportunity to share reflections and pose questions for further analysis. This is a public wikispace so please respect norms related to confidentiality. Keep the conversations about the work...do not include school or teacher names.

This has videos of rich math tasks being used in classrooms, and takes you through the preplanning, launch-explore-summarize of the lesson, and the reflection after the lesson. Student work samples from the actual videos are also available.   It's a great resource for coaches and teachers for professional development.

Play these online or on the Wii

The website says: "THE Place For Educational Games!Our research-based and standards-aligned free educational math games and language arts games will engage, motivate, and help teach students. Click a button below to play our free multi-player and single-player games! In the future we'll add features enabling you to save records, tailor content for differentiated instruction, and pinpoint student problem areas." I think using the games in conjunction with a holistic approach to developing skills would make for a great way of getting students to practices some skills. Let students play, set goals, monitor those goals, reflect on their progress, and apply strategies/heuristics to specific problems they struggle with would create an environment in the classroom where learning was fun, self-monitored, and successful. 

Rangoli based symmetry exercise - An activity based on Rangoli Patterns to provide opportunities for illustrating reflective and rotational symmetry of order 4.

"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.

" The use of logarithms, an important tool for calculus and beyond, has been reduced to symbol manipulation without understanding in most entry-level college algebra courses. The primary aim of this research, therefore, was to investigate college students' understanding of logarithmic concepts through the use of a series of instructional tasks designed to observe what students do as they construct meaning. APOS Theory was used as a framework for analysis of growth. APOS Theory is a useful theoretical framework for studying and explaining conceptual development. Closely linked to Piaget's notions of reflective abstraction, it begins with the hypothesis that mathematical activity develops as students perform actions that become interiorized to form a process understanding of the concept, which eventually leads students to a heightened awareness or object understanding of the concept. Prior to any investigation, the researcher must provide an analysis of the concept development in terms of the essential components of this theory: actions, process, objects, and schemas. This is referred to as the genetic decomposition. The results of this study suggest a framework that a learner may use to construct meaning for logarithmic concepts. Using tasks aligned with the initial genetic decomposition, the researcher made revisions to the proposed genetic decomposition in the process of analyzing the data. The results indicated that historical accounts of the development of this concept might be useful to promote insightful learning. Based on this new set of data, iterations should continue to produce a better understanding of the student's constructions. " (from the abstract)

The Sage Notebook is based upon work supported by the National Science Foundation under grants DMS-0821725, DMS-1020378, DMS-0713225, DMS-0555776, DMS-0545904, DMS-0838212, DMS-0757627, DUE-1020378, DUE-1022574, DMS-1015114, etc. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

Description: "The Innovation Fund is a challenge for educators, student teams, gamers, programmers, and anyone who has a great idea to create fun and engaging math educational media. WGBH Educational Foundation is seeking up to 100 educational media digital resources (videos, games, interactives, infographics, and manipulatives) that are directed towards middle school students and loosely aligned with the Common Core State Standards for Mathematics. The digital resources selected will be showcased on PBS LearningMedia as part of a middle school math resource collection. WGBH is looking for content that engages a wide range of students by reflecting a wide range of culturally responsive perspectives and learning styles. Digital resources should be engaging, rich in content and context, and go beyond strictly procedural teaching. In other words, no talking heads."

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Math teacher blog. This teacher is ahead of the transformation curve.

A programmer/developer reflects on lessons learned in mathematics. His blog is subtitled "algorithms for the heck of it.)

A great blog about ideas for higher level math.