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A systematic search of the research literature from 1996 through July 2008 identified more than a thousand empirical studies of online learning. Analysts screened these studies to find those that (a) contrasted an online to a face-to-face condition, (b) measured student learning outcomes, (c) used a rigorous research design, and (d) provided adequate information to calculate an effect size. As a result of this screening, 51 independent effects were identified that could be subjected to meta-analysis. The meta-analysis found that, on average, students in online learning conditions performed better than those receiving face-to-face instruction. The difference between student outcomes for online and face-to-face classes-measured as the difference between treatment and control means, divided by the pooled standard deviation-was larger in those studies contrasting conditions that blended elements of online and face-to-face instruction with conditions taught entirely face-to-face. Analysts noted that these blended conditions often included additional learning time and instructional elements not received by students in control conditions. This finding suggests that the positive effects associated with blended learning should not be attributed to the media, per se. An unexpected finding was the small number of rigorous published studies contrasting online and face-to-face learning conditions for K-12 students. In light of this small corpus, caution is required in generalizing to the K-12 population because the results are derived for the most part from studies in other settings (e.g., medical training, higher education). ix

A systematic search of the research literature from 1996 through July 2008 identified more than a thousand empirical studies of online learning. Analysts screened these studies to find those that (a) contrasted an online to a face-to-face condition, (b) measured student learning outcomes, (c) used a rigorous research design, and (d) provided adequate information to calculate an effect size. As a result of this screening, 51 independent effects were identified that could be subjected to meta-analysis. ***The meta-analysis found that, on average, students in online learning conditions performed better than those receiving face-to-face instruction.*** The difference between student outcomes for online and face-to-face classes-measured as the difference between treatment and control means, divided by the pooled standard deviation-was larger in those studies contrasting conditions that blended elements of online and face-to-face instruction with conditions taught entirely face-to-face. Analysts noted that these blended conditions often included additional learning time and instructional elements not received by students in control conditions. This finding suggests that the positive effects associated with blended learning should not be attributed to the media, per se. An unexpected finding was the small number of rigorous published studies contrasting online and face-to-face learning conditions for K-12 students. In light of this small corpus, caution is required in generalizing to the K-12 population because the results are derived for the most part from studies in other settings (e.g., medical training, higher education). ix

Geared toward developing good instructional strategies for entry level geo-science courses at the post-secondary setting, the suggestions can easily be applied to 6-12 setting and are just good instructional practices. Well organized and includes different perspectives and connected content. I thoroughly agree with the mathematical modeling discussion. It's worth reading

Abstract: "This study examined the benefits and challenges associated with implementing RtI [Response to Intervention] in the area of math ematics in an elementary and a middle school in a rural district in the northeastern United States. We sought to document the ways in which two schools approached implementation of RtI and to explore the issues they encountered with respect to instruction , intervention, and assessment. Five themes were identified that described implementation of the RtI framework: Shifting roles and changing structures, increasing opportunities for collaboration and communication, inc reasing instruction al an d assessment su pport for students who struggle in math, increasing knowledge of support strategies for learners who struggle with math, and "spreading the word" and enhancing the use of the model. The results of this study suggest that the RtI model has potential to impr ove how math instruction is approached in elementary and middle schools. "

Abstract :"The nation's remedial math programs are failing students. New, effective, and dramatic changes are required to reverse the trend. Acknowledging the plight of community college remedial math students, this white paper discusses critical variables in planning and implementing instruction. Absent of a consensus in the U.S. political landscape on how to effectively provide remedial mathematics instruction, the authors suggest instructional variables to support mathematics faculty, administrators, tutors and advising staff in changing the disheartening data and experience."

"The purpose of this study is to determine the effect of supplemental instruction using technology on the attitude toward mathematics of fifth grade students with learning disabilities in a classroom."

"The MIND Research Institute enables elementary and secondary students to reach their full academic and career potential through developing and deploying math instructional software and systems. A non-profit organization, MIND also conducts basic neuroscientific, mathematics, and education research to improve math education and advance scientific understanding."

Hyundai ST Math Initiative enables 15 schools access to ST Math Instructional software, as well as training and support

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My name is Patrick Honner. I teach mathematics at Brooklyn Technical High School, a large, public, specialized high school in Brooklyn, New York. As a NYC public school teacher I have taught everything from Introductory Algebra to Multivariable Calculus.  I mentor student research in mathematics, and I am actively involved in extracurricular mathematics programs both in my school and around New York City. Math research is an instructional focus of mine. Independent, investigative, mathematical research projects can be crafted by and for students at all levels of knowledge, in all areas of interest. A primary objective of MrHonner.com is to exhibit the math all around us in order to stimulate question-posing and hypothesizing, the first steps in structuring a good research project. I am a two-time recipient of Math For America's Master Teacher Fellowship, and I am active in MfA's professional community.

Abstract: "In this paper, students provide insight into their use of Quick Response (QR) codes and mobile devices to assist in mathematics homework efforts. These QR codes were directly linked to instructional videos related to their unit on fraction algorithms and were hosted on YouTube. In particular, through focus-group interviews, the students identified many strengths associated with the implementation of this research. The strengths include the manner in which the YouTube clips of currently accepted instructional strategies worked to reinforce their classroom learning, how the mobile devices motivated students to complete homework in a variety of non-traditional settings, increased their communication with their classroom teacher, and how these devices engaged parents and siblings in the learning process."

The Gateway expands educators' capability to access Internet-based lesson plans, instructional units and other educational materials in all forms and formats. The Gateway's goal is to improve the organization and accessibility of the substantial collections of materials that are already available on various federal, state, university, non-profit, and commercial Internet sites. The Gateway has been serving teachers continuously since 1996 which makes it one of the oldest publically accessible U.S. repositories of education resources on the Web. The Gateway contains a variety of educational resource types from activities and lesson plans to online projects to assessment items.

An amazing site that allows users to create browse 'playlists' of websites to make a custom lesson. Add comments and instructions. View hundreds of bundles made by others. Just share the link to share with your students and colleagues. http://ictmagic.wikispaces.com/ICT+%26+Web+Tools

Current reforms in mathematics education emphasise the need for pedagogy because it offers learners opportunities to develop their proficiency with complex high-level cognitive processes. One has always associated the ability to make mathematical connections, together with the teacher's role in teaching them, with deep mathematical understanding. This article examines the nature and quality of the mathematical connections that the teachers' representations of those connections enabled or constrained. The researchers made video recordings of four Grade 11 teachers as they taught a series of five lessons on algebra-related topics. The results showed that the teachers' representations of mathematical connections were either faulty or superficial in most cases. It compromised the learners' opportunities for making meaningful mathematical connections. The researchers concluded by suggesting that helping teachers to build their representation repertoires could increase the effectiveness of their instructional practices.

The Mathematics Word Wall was developed by Michele S. Weiner, Regional Center  II Instructional Supervisor. Teachers  who attended Regional Center II's  mathematics inservices received their own copy.  There have been additional  requests from teachers, who did not attend, to receive a copy. Therefore, we have  attached a copy of the Mathematics Word Wall to be used as a resource in the  classroom.  

Second section focuses on teaching early childhood and elementary mathematics

from the abstract: "we show that ANS precision measured at preschool, prior to formal instruction in mathematics, selectively predicts performance on school mathematics at 6 years of age."

Free Math Education Video Lessons, Tutors, and Instruction. Videos in all math subjects are available.

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!

In this lesson, students learn how to measure the area of the tire footprint on a car and to find air pressure using a tire gauge. Students then find the weight of the car using their fraction multiplication skills. Learning Objectives   Students will: Estimate weight of a large object Use a ruler and a tire gauge to take measurements Collect and record data Review square units of measure Calculate area by multiplying fractions Materials   Strips of poster board Ruler Tire gauge How Much Does a Car Weigh? Activity Sheet Computer with internet connection Car Instructional Plan In preparation for this lesson, place a car in a safe lcation for the students to measure the tire footprints and pressure. In case of bad weather, find a covered location. Be sure to measure the tire footprint and the pressure (in PSI) of each tire ahead of time, so that you will be able check the accuracy of students' measurements. Also, check the accuracy of your calculation by comparing to it to the weight of the car listed on the sticker inside the driver's door or in the vehicle manual. By the end of the day, data may change because air has leaked out of the tires while students were using the tire gauge. For safety, check the tires before driving home.

Nice set of instructional activities/lessons that have dynamic or interactive aspects to them. Would take some study to be able to use effectively, but a good resource.