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" 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)

During the live online event Saturday January 14th 2pm ET, Shad Moarif, the founder of Karismath, will lead brainstorming about mathematical videos and dynamic mathematics in general. Event challenge! What types of the Grid do you see from the pedagogical perspective? Discussions beginning before the event This wiki: discussion tab http://mathfuture.wikispaces.com/message/list/Karismath LinkedIn: "Math, Math Education, Math Culture" group http://www.linkedin.com/groupItem?view=&gid=33207&type=member&item=88774229&qid=00e42ab4-4f69-453e-8a79-0a181ab07bc9 Facebook: http://www.facebook.com/karismath/posts/334691806549990 Math Future email group: http://groups.google.com/group/mathfuture/browse_thread/thread/071299f3319650cf# In a grid, there is an obvious connection between the product cell and the simultaneity of two bits of information coexisting within it. Shad is exploring ways of breaking this connection down into a sequence of transitional steps by distilling them visually. Shad has categorized the Grid into eleven types according to their uses for storing, sorting, and displaying numerical information (see below). What pedagogical types of the Grid come to your mind? How to join Follow this link at the time of the event: http://tinyurl.com/math20event

Do-it-yourself designs

Curious how social media might benefit you as a math teacher? Check out mathtwitterblogosphere, which encourages math teachers to tweet and blog in order to "get your own creative juices flowing" and participate in a "world-class faculty lounge with colleagues who care about what they do." Come see profiles of math teachers who use blogs and Twitter, learn about "how to take the leap" with those social media, and find recommendations of tweeps and bloggers to follow, categorized by academic level, or interests such as arts and craft in the math classroom games and gamification in math interdisciplinary Work modeling approach to teaching standard-based grading projects and rich tasks technology in the math classroom

Against a background of math's beauty and ubiquity, the writer delivers a critique of math teaching in higher education

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Can your kids do not have to struggle with Math if he or she learns the fundamental concepts of Math? Addition, subtraction, multiplication, percentage and division are about recurring patterns. When your children study to spot the pattern, he or she will learn to love Math.

"Integration of technology is an integral part of project based learning, because technology is an integral part of life outside the classroom as revealed in this part of the definition - "types of learning and work people do in the everyday world outside the classroom.""

From rockets to stock markets, many of humanity's most thrilling creations are powered by math. So why do kids lose interest in it? Conrad Wolfram says the part of math we teach -- calculation by hand -- isn't just tedious, it's mostly irrelevant to real mathematics and the real world. He presents his radical idea: teaching kids math through computer programming.

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.

Learning algebra is difficult for most students. Ask any student what they are learning in algebra and you will probably receive an answer similar to this (after - Why do I need to know this?). "Using Xs and Ys a lot, a bunch of numbers and symbols, and memorizing a lot of rules." This often comes with learning algebra without connection to anything students can relate to. When students learn basic math, they can make a lot of connections.

These management and technical issues include how to name the iPods, recharging , syncing, accessories, play-lists, transferring apps, iTunes account, and many more. Like all technology tools, classroom management is always an issue. Here are a few recommended " Dos" tailored for a classroom set of iPod Touches.

Is your son/daughter spending an inordinate amount of time trying to complete math homework in the evenings? You may want to consider online math tutoring. Do not wait for math grades to drop; do not wait for your child to become totally frustrated. Homework help with online math tutoring can give your child the math support necessary to succeed in math and regain the confidence to become a better learner.

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.

A collaboration among Harvard's Program on Education Policy and Governance & Education Next, the Taubman Center for State and Local Government, and Harvard Kennedy School . "To see how well the U.S. as a whole, each state, and certain urban districts do at producing high-achieving math students, the percentage of U.S. public and private school students in the high-school graduating Class of 2009 who were highly accomplished in mathematics in each of the 50 states and in 10 urban districts is compared to the percentages of similarly high achievers in 56 other countries." High-achieving students in the U.S. were outperformed by high achievers from other countries.

A 10 part series by Professor Marcus du Satuoy, University of Oxford, "argues that mathematics is the driving force behind modern science. Ten fifteen minute podcasts that reveal the personalities behind the calculations from Newton to the present day. How do these masters of abstraction find a role in the real world?"

suggests countering stereotypes by framing tests as "building brains" rather than measuting intelligence

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.

Writing in math is an excellent way to determine if students' understand or do not understand the math they are learning about. Allowing students to explain how they solved a math problem, how they developed a formula to solve a problem, or how they applied a math concept requires critical thinking.