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4434Mathematics and evolutionary biology make bioinformatics education comprehensible
http://www.merlot.org/merlot/viewMaterial.htm?id=901854
The patterns of variation within a molecular sequence data set result from the interplay between population genetic, molecular evolutionary and macroevolutionary processes—the standard purview of evolutionary biologists. Elucidating these patterns, particularly for large data sets, requires an understanding of the structure, assumptions and limitations of the algorithms used by bioinformatics software—the domain of mathematicians and computer scientists. As a result, bioinformatics often suffers a ‘two-culture’ problem because of the lack of broad overlapping expertise between these two groups. Collaboration among specialists in different fields has greatly mitigated this problem among active bioinformaticians. However, science education researchers report that much of bioinformatics education does little to bridge the cultural divide, the curriculum too focused on solving narrow problems (e.g. interpreting pre-built phylogenetic trees) rather than on exploring broader ones (e.g. exploring alternative phylogenetic strategies for different kinds of data sets). Herein, we present an introduction to the mathematics of tree enumeration, tree construction, split decomposition and sequence alignment. We also introduce off-line downloadable software tools developed by the BioQUEST Curriculum Consortium to help students learn how to interpret and critically evaluate the results of standard bioinformatics analyses.Reflections
http://www.merlot.org/merlot/viewMaterial.htm?id=899620
'Reflections, NCTM's video-based, professional development Web site, is designed to help teachers — individually and collectively — examine their teaching of mathematics. The site’s components are designed to assist teachers in reflecting on the mathematics they teach, and as a tool to systematically observe, analyze, critique, and improve classroom practices. Reflections focuses on algebra in grades 3-8.Whether the site is approached through the six individual lessons or the five across-lesson topics, the heart of Reflections is a set of Critical Teaching Questions. For example:How effectively does the teacher determine when to clarify, explain, question or let a student struggle?What are the mathematical ideas in this lesson and how significant are they?When selected, each Critical Teaching Question provides you with a set of video clips from the lesson and from pre- and post-lesson discussions, with accompanying on-screen transcripts, and a set of reflective tasks and analyses that foster individual or collaborative reflection and analysis of the lesson, the mathematics taught, the pedagogy employed and the learning that occurred.'Pi
http://www.merlot.org/merlot/viewMaterial.htm?id=899582
This material is a part of a collection of learning materials at the site of Rio Rancho Math Camp. The site provides ״an intellectually stimulating experience for middle school students who like math, and want to experience hands on, challenging math activities." This particular module is dedicated to the special number Pi, its discovery and meaning in mathematics. Fibonacci Sequence and Phi
http://www.merlot.org/merlot/viewMaterial.htm?id=899584
This material is a part of a collection of learning materials at the site of Rio Rancho Math Camp. The site provides ״an intellectually stimulating experience for middle school students who like math, and want to experience hands on, challenging math activities." This particular module is dedicated to the Fibonacci Sequence and number Phi. D3mobile Metrology World League
http://www.merlot.org/merlot/viewMaterial.htm?id=899469
The University of Santiago de Compostela is organizing the D3MOBILE METROLOGY WORLD LEAGUE (www.d3mobile.es), an International Championship in 3D Precision Modeling on mobile phones aimed at strengthening the scientific vocation of 15-18 year old students around the world. The main objective of D3MOBILE is to disseminate importance of metrology, offering participants to develop 3D accuracy virtual models with a mobile phone. The championship winner will be the team that gets better results in measurements of an object.The main objectives of the Championship will be the simulation and stimulation of students’ research capacity in order to encourage their reflecting upon its importance when it comes to solving our environment’s problems and on the importance of decision making based on the analysis of the results obtained in an experimental process. Furthermore, the exercises proposed in this Championship encourage the educational use of the Internet and learning various technical computer programs which students might find useful for their future work.The aim of d3mobile.es is for students born between 1996 and 1998 all over the world to participate in a team championship that will reinforce their research capacity. They will be using equipment well known to all: mobile phones and computers. They will learn the basics of the photogrammetric technique with the help of one of their teachers and the free software they will be provided with. This methodology will allow them to build scaled tridimensional models of simple objects and it will only take them two afternoons of study to master it. Three mandatory exercises using specific free Internet programs will be carried out over the course of the Championship. The first exercise is oriented to training students whereas the remaining two will be subject to a grading process in order to grant the final award.Pythagorean Theorem and Fermat's Last Theorem
http://www.merlot.org/merlot/viewMaterial.htm?id=899226
This material is a part of a collection of learning materials at the site of Rio Rancho Math Camp. The site provides ״an intellectually stimulating experience for middle school students who like math, and want to experience hands on, challenging math activities." This particular module is dedicated to Pythagorean Theorem and Fermat's Last Theorem. It contains illustrations, videos, and interactive exervises related to the proofs and history of the two remarkable results in mathematics. Topology
http://www.merlot.org/merlot/viewMaterial.htm?id=899275
Topology is generally considered to be one of the three linchpins of modern abstract mathematics (along with analysis and algebra). Recently, topology has an important components of applied mathematics, with many mathematicians and scientists employing concepts of topology to model and understand real-world structures and phenomena. Topology is the study of shapes:Including their properties, Deformations applied to them, Mappings between them and Configurations composed of them. Here we can learn this course with the help of provided study materialFutureLearn: Massive Open Online Courses (MOOCs)
http://www.merlot.org/merlot/viewMaterial.htm?id=899078
The Open University (UK) is forming FutureLearn: a consortium of 21 universities, as well as cultural players such as the British Museum, British Library, and British Council to provide Massive Open Online Courses (MOOCs). FutureLearn's pilot program began this Fall 2014.Fibonature - The Fibonacci Sequence in Nature
http://www.merlot.org/merlot/viewMaterial.htm?id=898895
The Fibonacci sequence a set of numbers that is formed by adding the two previous numbers. Thus, the sequence is 1, 1, 2, 3, 5, 8, 13, 21 etc. The golden ratio is the ratio between any 2 adjacent numbers in the sequence, which approaches 1.618 as you go further down the sequence. Nature has found the Fibonacci sequence and the golden ratio to be the most efficient ways to grow and form itself; this concept is called the path of least resistance. Because of this path of least resistance, the Fibonacci sequence and the golden ratio can be found throughout many forms of nature, such as pinecones, succulents, and nautilus shells.Young Math Wizards: Topology
http://www.merlot.org/merlot/viewMaterial.htm?id=898184
This material is a part of a collection of learning materials at the site of Rio Rancho Math Camp. The site provides ״an intellectually stimulating experience for middle school students who like math, and want to experience hands on, challenging math activities." The Topology topic is designed to give a student simple yet insightful introduction on the subsject of Topology. It contains illustrations, videos, and interactive exervises.