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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.
Rote learning is widely used in the mastery of foundational knowledge.Examples of school topics where rote learning is frequently used include phonics in reading, the periodic table in chemistry, multiplication tables in mathematics, anatomy in medicine, cases or statutes in law, basic formulae in any science, etc.
Lesson planning is a thinking process, not the filling in of a lesson plan template. A lesson plan is envisaged as a blue print, guide map for action, a comprehensive chart of classroom teaching-learning activities, an elastic but systematic approach for the teaching of concepts, skills and attitudes.
Instructional scaffolding is the support given to a student by an instructor throughout the learning process. This support is specifically tailored to each student; this instructional approach allows students to experience student-centered learning, which tends to facilitate more efficient learning than teacher-centered learning.
If a student is having difficulty, "the teacher might pose questions to provoke further thinking or have other students explain their plan for solving the problem". [3] Teachers are advised to be active listeners in this phase, and to take notes. This is also a phase in which teachers can assess students. [1]
Differentiated instruction and assessment, also known as differentiated learning or, in education, simply, differentiation, is a framework or philosophy for effective teaching that involves providing all students within their diverse classroom community of learners a range of different avenues for understanding new information (often in the same classroom) in terms of: acquiring content ...
Standards-based mathematics: a vision for pre-college mathematics education in the United States and Canada, focused on deepening student understanding of mathematical ideas and procedures, and formalized by the National Council of Teachers of Mathematics which created the Principles and Standards for School Mathematics.
The difference is that tiles cannot be locked together. They remain as separate pieces, which in many teaching scenarios, may be more ideal. These three types of mathematical manipulatives can be used to teach the same concepts. It is critical that students learn math concepts using a variety of tools.
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