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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.
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]
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]
Teach to One uses digital technology to develop individualized, daily-adjusted student curricula which the students access via an online portal. A computer-based Machine Learning algorithm collects data to generate a daily lesson plan or "playlist" for each student based on what is determined to best meet their learning needs.
Proponents of reform mathematics countered that research showed that correctly-applied reform math curricula taught students basic math skills at least as well as curricula used in traditional programs, and additionally that reform math curricula was a more effective tool for teaching students the underlying concepts. [13]
Differentiation Options—Includes options for supporting the needs of all students; usually an extension of Part 1, Teaching the Lesson. Daily Routines. Every day, there are certain things that each EM lesson requires the student to do routinely. These components can be dispersed throughout the day or they can be part of the main math lesson.
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.
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.
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