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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

"This is a really good way of testing out practical measuring skills in Maths lessons. I always teach 'measuring' by incorporating a Harry Potter themed Potions lesson. Pupils follow potion recipes to create potions from the Harry Potter universe, e.g. Polyjuice Potion or Skele-gro. I have a mixture of powders (cornflour), plants (herbs) and potions (water with food colouring). I then have pipettes, a range of different containers with different scales for measuring liquids, scales for measuring the plants and powders, in addition to gloves for handling the 'poisonous' plants, a pestle and mortar for the plants and stopwatches for timing."

"Italian psychologist Geatano Kanizsa first described this optical illusion in 1955 as a subjective or illusory contour illusion. The study of such optical illusions has led to an understanding of how the brain and eyes perceive optical information and has been used considerably by artists and designers alike. They show the power of human imagination in filling in the gaps to make implied constructions in our own minds. Kanizsa figures and similar illusions are a really useful way to encourage learners to 'say what they see' and to explain how they see it. It offers a chance for others to become aware of the different views available in a diagram and share their own thoughts without the 'danger' of being wrong; many people see different things."

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

A fun maths puzzle. complete the triangle by placing a block with the difference of the two numbers below. http://ictmagic.wikispaces.com/Maths

An oped by the executive director of the Consortium for Mathematics and Its Applications and a Brown University professor argue that different math skills are needed for different life applications and high school math curriculum should be adjusted accordingly.

Movie box office data that is current and very comprehensive. Several different trends are easy to track including exponential, and log functions. Great for using with students to create regression models, making predictions based on the models, checking the results and re-analyzing. Also, when a movie doesn't follow the predictions there are often easy to understand reasons for why the movies behave differently (a holiday weekend may cause the movie to gross more on a given weekend than predicted, etc.)

"Visualize your numbers, explore charts, and share insights with others. " Great data source. Students can explore data sets, identify different ways of representing data, as well as identify different characterisitics of data.

"This model for learning mathematics may be quite different from what teachers experienced themselves in the past where classrooms were less interactive, filled with little activity and conversation. Teachers were generally in control, directing all aspects of what was to be learned; different points of view and approaches seldom brought to the surface new ideas and insights and a high degree of redundancy meant that everybody learned the exact same thing at the exact same time.

From the National Center of Education Statistics: "The Trends in International Mathematics and Science Study (TIMSS) 2011 is the fifth administration of this international comparative study since 1995 when first administered. TIMSS is used to compare over time the mathematics and science knowledge and skills of fourth- and eighth-graders. TIMSS is designed to align broadly with mathematics and science curricula in the participating countries. The results, therefore, suggest the degree to which students have learned mathematics and science concepts and skills likely to have been taught in school. In 2011, there were 54 countries and 20 other educational systems that participated in TIMSS, at the fourth- or eighth-grade level, or both. The focus of the report is on the performance of U.S. students relative to their peers in other countries in 2011, and on changes in mathematics and science achievement since 2007 and 1995. For a number of participating countries and education systems, changes in achievement can be documented over the last 16 years, from 1995 to 2011. This report also describes achievement within the United States by sex, race/ethnicity, and enrollment in public schools with different levels of poverty. In addition, it describes achievement in nine states that participated in TIMSS both as part of the U.S. national sample of public and private schools as well as individually with state-level samples of public schools."

A great resource for showing children angles inside a triangle. Move the corners to see how the angles change for different types of triangles. http://ictmagic.wikispaces.com/Maths

This site has a great set of maths games that are sorted into different primary age groups. Practise multiplication, more/less than, decimals and much more. No sign in or registration needed. http://ictmagic.wikispaces.com/Maths

CK-12 Foundation's Basic Algebra, Volume 1 Of 2 FlexBook covers the following six chapters:Expressions, Equations, and Functions - covers the relationships among expressions, equations, and functions when variables are present. Also explored is how these ideas can be shown on graphs. Properties of Real Numbers - covers various forms that rational numbers can assume, including fractions, integers, and square roots. Also considered are different operations for manipulating rational numbers. Linear Equations - introduces students to methods of solving simple equations involving variables. Also covered are ratios, scale, and the percent equation. Graphing Linear Equations and Functions - provides students with a more in-depth understanding of equations by introducing coordinate plane graphing concepts such as intercepts and slope. Writing Linear Equations - focuses on writing various forms of equations based upon real-world data and already existing lines. Students will also learn about predicting data using a fitted line. Linear Inequalities and Absolute Value; An Introduction to Probability - covers operations of inequalities, including addition, subtraction, multiplication and division. These principles are then applied to absolute value and probability.

The popular educational portal www.kidsworldfun.com is organizing a unique Little Champs Video Contest for preschoolers (3-6 years old) around the world. The contest intends to discover the very young bright stars around the world who are exceptional in a variety of activities such as reading, writing, singing, dancing, doing chores around home, playing with friends, gardening, and so on. Parents, who are interested, should make a video portfolio of their child, of about 3-5 minutes duration, stringing together the various activities he/she engages in at different times, in natural situations. The winners will be selected based on how well and happily the child engages in the task, how independently he/she is able to perform, how much effort is put in, and how skilled he/she is, in each activity engaged in. The terms and conditions of the contest are given at http://www.kidsworldfun.com/video-contest/ The Little Champs Video Contest is the second international contest that the KidsWorldFun is organizing, the first being the prestigious International Short Story Contest for School Children that debuted in 2016.

Includes a section on math apps for different grade levels

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There are plenty of calculator apps in Google Play, but IDEAL WebMath is different because it shows students how to solve a problem.  IDEAL WebMath can help students with addition, subtraction, multiplication, division, comparing fractions, ratios, proportions, place values, and rounding.

A wiki is dedicated to sharing movies about many different math topics, ALL created by students!

Find over 800 different types of paper to print, including square and graph paper for maths, music manuscript paper and lots more. Not the most exciting site, but very useful. http://ictmagic.wikispaces.com/Cross+Curricular

Researchers from Notre Dame and Harvard, in a paper to be published in the Quarterly Journal of Economics, discuss Soviet mathematicians' movement to U.S. institutions following the breakup of the Soviet Union, how Soviet mathematical study engaged in different areas of specialization from that of the west, and subsequently "a flood of new mathematicians, theorems and ideas."