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Eric.ed.gov – Reasonable Adjustments in Learning Programs: Teaching Length, Mass and Capacity to Students with Intellectual Disability

eric.ed.gov har udgivet: Developed in concert with twelve special schools (Prep to Year 12) in Queensland, this paper regarding reasonable adjustments that promote quality differentiated teaching practice in special education math classrooms represents the knowledge and expertise of fifty teachers in special education. Survey responses and empirical evidence suggest that three conclusions are warranted: 1) That a focus on reasonable adjustments which is highly individualised, comprehensive and ongoing, needs to be strengthened to positively affect student learning and progression; 2) Neither assessment of student learning in mathematics or failure to respond to the results is sufficient for making judgements about students’ learning; and 3) special education teachers do require strong knowledge and skill with differentiating their teaching practice to ensure that students access the curriculum at appropriate year levels. Link… Continue Reading

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tandfonline.com – Arc length of function graphs via Taylor’s formula

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: Abstract Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. We use Taylor’s formula with Lagrange remainder to prove that functions with bounded second derivative are rectifiable in the case when polygonal paths are defined by interval subdivisions which are equally spaced. As a means for generating interesting examples of exact arc length calculations in calculus courses, we recall two large classes of functions f with the property that 1+(f′)2 has a primitive, including classical examples by Neile, van Heuraet and Fermat, as well as more recent ones induced… Continue Reading