87,949 research outputs found
Review: arrow cards
Get PDFArrow cards are a simple manipulative to grasp place value or more generally the base-ten number-writing system that we use. Dr Maria Montessori invented the static cards. These cards are used along with proportional material like static beads (unit = single bead, ten = 10 beads strung together forming a line, hundred = 10 tens strung together to form a square and thousand = 10 hundreds strung to form a cube) to gain a sense of numbers – the quantities they indicate and the numerals that represent them and how they are linked. When these cards are superimposed, they form the multi-digit number. When these transitioned to regular schools, an arrow got added so that the cards can be held up for an entire class to see. The cards are supposed to be held only by one hand holding the arrows together. This ensures that a number like 327 can’t be made with 300, 2 and 7. Even if a child tries to do that and succeeds thanks to friction, one flick of the hand would send the 2 flying out! So, the only way to make 327 would be to use the cards 300, 20 and 7 which is essentially a self-corrective feature, common to many Montessori materials
Space Mathematics Website
No full textThis Website contains over 200 authentic math problems that cover solar physics, space physics, radiation dosimetry, and the human impacts of space weather. The problems range from pre-algebra to calculus and span the math skills appropriate for grade 8-12 students. The problems are taken from authentic applications of arithmetic, graph analysis, pre-algebra, and algebra
Mapping the Discipline of the Olympic Games An Author-Cocitation Analysis
Get PDFThe authors conducted an author cocitation analysis on prominent authors writing about the Olympics during the 1990s. Author cocitation is an established bibliometric technique that can be used to measure the relative similarities of topics written about by the cited authors. This enables a visual representation of the “intellectual space” of the discipline, in this case the Olympics, to be created for the period under review. So core and peripheral research areas are identified, along with their major contributors. The representation appears as a two-dimensional cluster-enhanced map. Subject expertise was then applied to the results to place labels on the generated clusters of authors and their topics
Manipulative Review: Geoboard
Get PDFUnlike many other teaching-learning materials (TLM) for
math, which we would like to call mat(h)erials, geoboard
is very well known among teachers and referred to in
teacher education programs, pre-service in particular. It is a board
– wooden or plastic, with many pegs or nails stuck on it. One can
stretch a rubber band along some of these pegs to create many
polygons
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Connectivity of the space of ending laminations
Get PDFWe prove that for any closed surface of genus at least four, and any punctured surface
of genus at least two, the space of ending laminations is connected. A theorem of E.
Klarreich [28, Theorem 1.3] implies that this space is homeomorphic to the Gromov
boundary of the complex of curves. It follows that the boundary of the complex of curves
is connected in these cases, answering the conjecture of P. Storm. Other applications
include the rigidity of the complex of curves and connectivity of spaces of degenerate
Kleinian groups
Space Math: Mathematics in Space Science II
Get PDFThis booklet contains 36 math problems that cover solar physics, space physics, radiation dosimetry, and the human impacts of space weather. The problems range from pre-algebra to calculus and span the math skills appropriate for Grade 8-12 students. The problems are taken from authentic applications of arithmetic, graph analysis, pre-algebra, and algebra. Educational levels: Middle school, High school
Is math useful?
No full textIs math useful? might sound as a trick question. And it is. Of course math is useful, we live in a data-filled world and every aspect of life is totally entwined with math applications, both trivial and subtle applications, of both basic and advanced math. But we need to ask once again that question, in order to truly understand what is math useful for and what being useful means. Moreover, is it knowledge of math useful for a class of specialists, or for political leaders or for all people at large? Being more on a concrete level, why does math need to have a central role in education? Each section will be titled by a question. And each section will not give an answer, but-at least I hope-provide some food for thought to the reader, in order to try to come up with his or her own answers. I feel that these kind of questions are at home in a book devoted to the interplays between mathematics and culture: what is the space we should give to math in culture and what is math's role in becoming a complete citizen
Math Standards for Hurricane Research
No full textThis resource supports math standards for grades 9-12 in the topics of representation and data analysis and probability. These assignments are based on the National Council of Teachers of Mathematics (NCTM) standards.
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