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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]
Van Hiele model. In mathematics education, the Van Hiele model is a theory that describes how students learn geometry. The theory originated in 1957 in the doctoral dissertations of Dina van Hiele-Geldof and Pierre van Hiele (wife and husband) at Utrecht University, in the Netherlands. The Soviets did research on the theory in the 1960s and ...
The gradual release of responsibility (GRR) model is a structured method of pedagogy centred on devolving responsibility within the learning process from the teacher to the learner. This approach requires the teacher to initially take on all the responsibility for a task, transitioning in stages to the students assuming full independence in ...
Math educators hoped to help their students see the need for algebra in the life of an everyday citizen. [1] The report outlined three strategies that helped math educators emphasize the everyday usage of algebra. First, teachers focused on the meanings behind concepts. Before, teachers were expected to use either the Drill or the Meaning Theory.
It has been suggested that effective teaching using discovery techniques requires teachers to do one or more of the following: 1) Provide guided tasks leveraging a variety of instructional techniques 2) Students should explain their own ideas and teachers should assess the accuracy of the idea and provide feedback 3) Teachers should provide examples of how to complete the tasks.
Backward design is a method of designing an educational curriculum by setting goals before choosing instructional methods and forms of assessment. Backward design of curriculum typically involves three stages: [1][2][3] Identify the results desired (big ideas and skills) What the students should know, understand, and be able to do.
Quotition and partition. In arithmetic, quotition and partition are two ways of viewing fractions and division. In quotitive division one asks "how many parts are there?" while in partitive division one asks "what is the size of each part?" In general, a quotient where Q, N, and D are integers or rational numbers, can be conceived of in either ...
The constructivist method is composed of at least five stages: inviting ideas, exploration, proposition, explanation and solution, and taking action. [5] The constructivist classroom also focuses on daily activities when it comes to student work. Teaching methods also emphasize communication and social skills, as well as intellectual ...
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