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Abstract: "the researcher attempted to investigate how to better measure engagement and refine the measurement of engagement in this study. To frame the engagement, three domains of engagement - behavioral, cognitive, and emotional- are analyzed in detail to be able to examine the qualities of each type. Moreover, three game attributes -clear goals, immediate feedback, and balance between challenges and skills- are presented and discussed as fundamental features of virtual manipulatives and educational games used in this study to make an impact on students' engagement. To measure effects of educational games and virtual manipulatives on three domains of engagement, the researcher designed an engagement survey that examines each domain separately with their sub-domains. The Cronbach's alphas for engagement pre-test and post-test were found .89 and .91 respectively. In this pre-test and post-test quasi-experimental design, four fifth-grade classrooms (N=86) from four schools in southwest Virginia were assigned as three experimental groups and one control group. In the first experimental group, participants played an educational game called Candy Factory and in the second experimental group, the students played another educational game called Pearl Diver on iPod Touch for eight days consecutively, for 20 minutes each. In the third experimental group, participants performed activities with virtual manipulatives, whereas in the control group, participants did paper-and-pencil iii drills for the same duration. All of the groups studied on the same topic, fractions. According to the results of ANCOVA, experimental group students' engagement scores were found significantly higher than control group students', F(1,80)=11.568, p=.001. When three domains of engagement were analyzed, significant differences were found among all three domains between experimental and control groups. When the researcher conducted separate analysis for educational games group and vir

" 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)

A great website with resources for teaching all levels of elementary math

"A large majority of middle school math teachers say the common core is more rigorous than their state's prior mathematics standards. At the same time, most teachers reported receiving fewer than 20 hours of professional development over the past year related to the common core"

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"If a 6-month-old can distinguish between 20 dots and 10 dots, she's more likely to be a good at math in preschool. That's the conclusion of a new study, which finds that part of our proficiency at addition and subtraction may simply be something we're born with."

"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.""

Have you ever wanted to create short "how to" video for your students to use for homework, remembering facts, and solving math problems. How often have your students stated, "I could not complete the homework assignment, because I could not remember the steps and no one could help me." Well the answer is to create a screencast or video for posting on your class wiki or blog for students to view at home or anywhere else they have web access.

An interactive White Board (IWB) or SMART Board has the potential to deliver content better than traditional methods of teaching. Why? Because it provides multi-media functional interaction across audio, video, and computer media. It is also ideal for visual, auditory, and kinesthetic learners. These qualities of an IWB also promote the dynamic delivery of content (if used to its full potential) in an engaging manner, which allows students to interact with science or math content their self. Examples include: * data manipulation * responding to data * even creating data So with all these attributes - "How are interactive white boards unsuccessfully used in science and math classrooms?" For the most part - not effectively!

The use of web based technology is growing by leaps and bounds every day. These online tools are the new set of keys for opening your students' minds. The vast resources on the Internet are making the use traditional methods of teaching and learning obsolete in countless ways.

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.

How many times have you prepared an updated or new dynamic math or science PowerPoint or Keynote presentation for class and it would not open in school? Also, how many times has it happened to your students when it's time to give a class presentation? Now you need to postpone their presentation to another day, disrupting even the best planning.

Michael John Blake presents his musical interpretation in a video