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The motivation for mastery learning comes from trying to reduce achievement gaps for students in average school classrooms. During the 1960s John B. Carroll and Benjamin S. Bloom pointed out that, if students are normally distributed with respect to aptitude for a subject and if they are provided uniform instruction (in terms of quality and learning time), then achievement level at completion ...
This result was considered small but significant. [6] Mathematics mastery is a new way of thinking and teaching, where the whole class moves through content at the same pace and students are given time to think deeply about the maths. The methodology build self-confidence in learners and differentiates through depth rather than acceleration. [7]
In contrast with cramming, active learning and critical thinking are two methods which emphasize the retention of material through the use of class discussions, study groups and individual thinking. Each has been cited as a more effective means of learning and retaining information as compared to cramming and memorization.
Field trips: This allows students to put the concepts and ideas discussed in class in a real-world context. Field trips would often be followed by class discussions. Films: These provide visual context and thus bring another sense into the learning experience. Class discussions: This technique is used in all of the methods described above. It ...
Theorists like John Dewey, Jean Piaget and Lev Vygotsky, whose collective work focused on how students learn, have informed the move to student-centered learning.Dewey was an advocate for progressive education, and he believed that learning is a social and experiential process by making learning an active process as children learn by doing.
Problem-based learning addresses the need to promote lifelong learning through the process of inquiry and constructivist learning. [2] PBL is considered a constructivist approach to instruction because it emphasizes collaborative and self-directed learning while being supported by tutor facilitation. [49]
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.
Moreover, there has been a movement to de-emphasize the traditional pathway with Calculus as the final mathematics class in high school in favor of Statistics and Data Science for those not planning to major in a STEM subject in college. [6] Nevertheless, Calculus remains the most recommended course for ambitious students. [6]