A fabulous maths blog with a huge catalogue of Primary maths resources, many of these available to download as PDFs.
http://ictmagic.wikispaces.com/Maths
" 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)
U.S. Department of Education report including research that "tested the impact of offering an online Algebra I course on students' algebra achievement at the end of grade 8 and their subsequent likelihood of participating in an advanced mathematics course sequence in high school."
A group in New York City. "The School of Mathematics was founded to cultivate a natural and stress-free environment where anyone can study, discuss, explore, and experience mathematics. No prior knowledge is assumed. Whether you are an avid student of mathematics or have always shied away saying "math is not for me", you are welcome. " Features a Meetup page listing events and articles describing mathematical principles. See "The Power of Mathematics" http://pulse.me/s/3iW2A and A Mathematician's Lament http://thewe.net/math/lockhart.pdf
I know that this was already shared with the math group, but this is to the main site. Not just the PDF file. These are videos to help put reasons behind why we would learn math concepts and what are they related to. I think they can also serve as a good model for student math projects.
A great maths site with PDF worksheets and online activities to help students learn a range of maths topics at every stage of their school career.
http://ictmagic.wikispaces.com/Maths
A collaboration among Harvard's Program on Education Policy and Governance & Education Next,
the Taubman Center for State and Local Government, and
Harvard Kennedy School . "To see how well the U.S. as a whole, each state, and certain urban districts do at
producing high-achieving math students, the percentage of U.S. public and private
school students in the high-school graduating Class of 2009 who were highly accomplished
in mathematics in each of the 50 states and in 10 urban districts is compared
to the percentages of similarly high achievers in 56 other countries." High-achieving students in the U.S. were outperformed by high achievers from other countries.
My Blog About Mathematics and Science as a PDF file on Scribd.com. Articles: Editing Equations on Web 2.0 Sites, Representing Scale in Mathematics, Nesin Mathematics Village in Turkey, A mathematician of prime numbers. A mathematician of topology. Flash game for teaching mathematics. From http://cmcallister.vox.com/
The aim of SAIDE ACEMaths project was to pilot a collaborative process for the selection, adaptation and use of OER materials for teacher education programmes in South Africa.
Over a period of two years we adapted, piloted and revised a set of materials on the teaching and learning of maths for teacher education. These are now available for downloading FOR FREE in two formats - for printing (PDF), and for adaptation (Word). See the ACEMaths Module to have a look.
Calculation Nation is a mathematics game site offering games for most K-12 students. Calculation Nation offers students the opportunity to practice their mathematics skills individually or in a head-to-head format playing against other students. For parents and teachers, Calculation Nation offers PDF suggestions for using Calculation Nation.
Fundamentals of Mathematics is a work text that covers the traditional topics studied in a modern prealgebra course, as well as topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who (1) have had a previous course in prealgebra, (2) wish to meet the prerequisite of a higher level course such as elementary algebra, and (3) need to review fundamental mathematical concepts and techniques. NOTE: This collection is a work in progress, and the content has not yet been marked up in CNXML. You can download PDF copies of individual chapters in from their respective modules.
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