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Teaching in this model uses hands-on innovative teaching methods sometimes called contextual learning. Teachers help students understand the reasons for studying their subject matter and capitalize on students' natural learning inclinations and problem-solving approaches they can use well beyond the classroom throughout their lives. [1]
Discovery math: a constructivist method of teaching (discovery learning) mathematics which centres around problem-based or inquiry-based learning, with the use of open-ended questions and manipulative tools. [23] This type of mathematics education was implemented in various parts of Canada beginning in 2005. [24]
A teaching method is a set of principles and methods used by teachers to enable student learning.These strategies are determined partly by the subject matter to be taught, partly by the relative expertise of the learners, and partly by constraints caused by the learning environment. [1]
Traditional mathematics focuses on teaching algorithms that will lead to the correct answer of a particular problem. Because of this focus on application of algorithms, the student of traditional math must apply the specific method that is being taught. Reform mathematics de-emphasizes this algorithmic dependence. [6]
They are characterised by innovative methods of teaching which aim to promote learning in communication with teachers and other learners and which take students seriously as active participants in their own learning and foster transferable skills such as problem-solving, critical thinking, and reflective thinking.
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]
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