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A 13-yeard old naturalist shows how he applied the Fibonacci Sequence to patterns of tree branch growth. Evidently he wasn't done, by any means: http://inhabitat.com/13-year-old-makes-solar-power-breakthrough-by-harnessing-the-fibonacci-sequence/

16-year old solves particle dynamics theories which eluded traditional computational problem solving

From the abstract (full text requires subscription): "Many organisms can predict future events from the statistics of past experience, but humans also excel at making predictions by pure reasoning: integrating multiple sources of information, guided by abstract knowledge, to form rational expectations about novel situations, never directly experienced. Here, we show that this reasoning is surprisingly rich, powerful, and coherent even in preverbal infants. When 12-month-old infants view complex displays of multiple moving objects, they form time-varying expectations about future events that are a systematic and rational function of several stimulus variables. Infants' looking times are consistent with a Bayesian ideal observer embodying abstract principles of object motion. The model explains infants' statistical expectations and classic qualitative findings about object cognition in younger babies, not originally viewed as probabilistic inferences."

This is a great YouTube channel with a range of recorded maths lessons aimed at 11-18 year olds. Watch as lessons expertly presented about areas of sectors, probability, simultaneous equations and much more. Check out @mathschallenge for daily maths questions to try out in your class. http://ictmagic.wikispaces.com/Maths

Abstract: "n this study we explored the impact of performing mathematical tasks presented in the context of an "adventure challenge" or a "mathematical challenge" in a videogame. This videogame - "Matemáquina do Tempo" - is being developed to facilitate learning of mathematical skills like counting, grouping, and relating numbers. The videogame consists in various movement control tasks with dynamic (e.g., running) and static (e.g., pointing) interactions. Our goal was to test the impact of the integration of a direct mathematical task versus an indirect mathematical task. A group of 18 five year-old children performed the game in two conditions: a) adventure challenge , which implied movements such as running or climbing trees to perform mathematical tasks of counting and grouping; and b) mathematical challenge , which included swimming after selecting the correct path through counting, followed by a direct mathematical task of pointing to organize numbers in a line. Our assumptions were evaluated according to questionnaires and video analysis of the children playing the game. Results confirmed our hypothesis, showing that players performing the mathematical challenge generally considered that they were learning with the game, and most agreeing that the game was fun. Participants in the adventure challenge condition on the other hand, showed a tendency to evaluate the game as very amusing and were more distributed in the learning evaluation. In conclusion, we suggest that the inclusion of direct mathematical tasks in the videogame might lead to increased perception of learning, although they also seem to result in lower amusement ratings."

"This National report examines the way in which teaching, learning and assessment is conceptualised in Welsh policy for early years science and mathematics, and the role for creativity. This report is one of 13 European national policy reports that are contributing to the Creative Little Scientist Project deliverable (D3.2 Report on Mapping and Comparing Recorded Practices) mapping and comparing policy approaches across Europe. In order to map the key messages in Welsh policy, as well as allow comparisons with other nations, this report draws upon a survey instrument used to rate the extent to which certain approaches, and the role of creativity is emphasised across relevant policy documents in this area. In the case of Wales, this was largely based upon the Framework for Children's Learning for 3 to 7 year olds in Wales, Play/Active Learning: overview for 3 to 7 year olds, the National Curriculum documents for Key Stage 2, associated assessment documents and inspection reports. "

In defense of mathematics and mathematical literacy

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Profile of Don Cohen, author of "Calculus by and for young people"

A discussion of early advanced mathematics.

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.

A vast collection of maths videos aimed at students from 6 years old all the way up. http://ictmagic.wikispaces.com/Maths

Mona Gray is a 20-year-old loner who, as a child, turned to math for salvation after her father became ill. As an adult, Mona now teaches the subject and must help her students through their own crises.

Abstract only online, full text requires subscription or purchase. Results of one study of 10-12 year old children in eight classrooms in three Australian primary schools leads researchers to suggest "educators should carefully consider the application and appropriateness of games before employing them as a vehicle for introducing mathematical concepts. "

Digital Media follows the old adage "A picture is worth a thousand words!" when it comes to science and math. The use of visuals is ideal for helping students construct background knowledge for developing a better understanding of science and math concepts.

Discusses a story in Genesis counting down (through negotiation) and asks for antecedents

If Abraham used multiplicative reasoning from 20 on, making the switch unnoticed because 20 to 10 is both additive and multiplicative, he could get down to 1 in just a few more steps!

Description of a University of Queensland study involving 36 infants, half 15 months and half 18 months. Tests with counting videos suggests that the 18 month old children have a grasp of counting rules before they can count (for example, understanding that objects can be counted only once." Further research using brain imaging is suggested.

Thanks - this will be useful for my "Math-rich baby" online class!

"In September we introduced the new curriculum across all subjects and all of our school. This was scaffolding using the Chris Quigley's Essentials materials, during the previous year we had used a numeracy curriculum created by teachers within the Deal Learning Alliance, which a great source and piece of collaborative work in its own right, held too many links back to APP statement and old national curriculum levels. As as school we were finding that the DLA maths document did not provide the scaffold for the raised expectations in mathematics primary curriculum, furthermore, the deeper into the curriculum we delved, the harder it seemed to make the teaching, learning and assessment work efficiently."

Joel David Hamkins, a professor of Mathematics at CUNY, describes his day teaching graph theory to his daughter's third grade class starting with the Euler characteristic and connected planar graphs tested on a variety of combinations and shapes.

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If you are interested in inquiry-based learning, problem-solving, family math, or Math Circles, join an online adventure this December! http://www.moebiusnoodles.com/openminds/ Bright, brave, open minds: A problem solving kaleidoscope is a two-week long open online course in problem solving for parents and teachers of 8-9 year old children.