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The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
In education, realia (/ r iː ˈ eɪ l ɪ ə /) are objects from real life used in classroom instruction by educators to improve students' learning. [1] A teacher of a foreign language often employs realia to strengthen students' associations between words for common objects and the objects themselves. In many cases, these objects are part of ...
The units represent ones, rods represent tens, flats represent hundreds, and the cube represents thousands. Their relationship in size makes them a valuable part of the exploration in number concepts. Students are able to physically represent place value in the operations of addition, subtraction, multiplication, and division.
The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]
Teachers reflect what is projected into them by their students. An experiment done by Jenkins and Deno (1969) submitted teachers to a classroom of children who had either been told to be attentive, or unattentive, to the teachers' lecture. They found that teachers who were in the attentive condition would rate their teaching skills as higher. [15]
In mathematics, a representation is a very general relationship that expresses similarities (or equivalences) between mathematical objects or structures.Roughly speaking, a collection Y of mathematical objects may be said to represent another collection X of objects, provided that the properties and relationships existing among the representing objects y i conform, in some consistent way, to ...
A Georgia middle school teacher resigned after he tossed an 11-year-old student across the classroom and allegedly made sexual remarks about the child’s mother.
Student teaching is a crucial part of a teacher candidate's path to becoming a teacher. Recommended reform in mathematics teacher education includes a focus on learning to anticipate, elicit, and use students’ mathematical thinking as the primary goal, as opposed to models with an over-emphasis on classroom management and survival.