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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.
Discourse in the classroom can be beneficial to students. Researchers have identified different types of discourse used in the classroom and they have outlined different ways to use discourse with varying levels of benefit, but one of the problems associated with the research of discourse in the English Language Arts classroom is the data recovered from experimentation.
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]
Urbana, IL: National Council of Teachers of English. André Kukla (2000), Social Constructivism and the Philosophy of Science, London: Routledge ISBN 0-415-23419-0 ISBN 978-0-415-23419-1; Nystrand, M. (1996). Opening dialogue: Understanding the dynamics of language and learning in the English classroom. New York: Teachers College Press.
Socratic questioning (or Socratic maieutics) [1] is an educational method named after Socrates that focuses on discovering answers by asking questions of students. According to Plato, Socrates believed that "the disciplined practice of thoughtful questioning enables the scholar/student to examine ideas and be able to determine the validity of those ideas". [2]
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. [46]
The term "universe of discourse" generally refers to the collection of objects being discussed in a specific discourse. In model-theoretical semantics, a universe of discourse is the set of entities that a model is based on. The concept universe of discourse was used for the first time by George Boole (1854) on page 42 of his Laws of Thought ...
In mathematics education, ethnomathematics is the study of the relationship between mathematics and culture. [1] Often associated with "cultures without written expression", [2] it may also be defined as "the mathematics which is practised among identifiable cultural groups". [3]