By Gennie B. Westbrook
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Additional info for A Teacher's Guide to The Depression and New Deal: A History in Documents (Pages from History)
Here are some examples of stages. The integers build a stage, the rationals build a stage, and the reals build yet another a stage. These are the most important stages for mathematics by far, but you cannot limit mathematics to just these stages. 1 By “stage” I mean — in mathematical terms — a category having objects, maps, maybe Cartesian products, and sufficient structure to do mathematics. However, stage, in the theatric sense, seems a very good description of these structures. 34 R. JAMES MILGRAM Patterns, once one has a proper definition, build a stage.
Such considerations are essential, and if a test fails to meet any of these or related criteria it will not be used. Among other things, test producers must produce tests that are legally defensible. , failed to graduate, or was denied admission to college or graduate school) because of a flaw in a test or inconsistencies in grading, the test-maker can be sued, given that the test was used for purposes intended by the test-maker. Thus from the perspective of test-makers and publishers, the psychometric properties of a mathematics test are far more important than the actual mathematical content of the test.
The remaining five percent will require additional, more intensive interventions to get to grade level. Now that teachers have seen the power of this research on reading in their classrooms, they are asking for similar research on mathematics. Unfortunately, we do not have thirty years of high quality research that would enable us to tell them definitively what to teach and how to teach it in mathematics. That is, in part, the purpose of this talk — to convince others that further research is needed on content and pedagogy in order to help teachers more effectively teach their students.
A Teacher's Guide to The Depression and New Deal: A History in Documents (Pages from History) by Gennie B. Westbrook